diff --git "a/data/dm_maths/full_data/10326_11255.jsonl" "b/data/dm_maths/full_data/10326_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10326_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c = 9 + -4. Let g be (-46)\/4485*13 - (-4)\/3. What is the nearest to -2\/5 in 2, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 4, 1\/1398, 3, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)\/(((g**(2\/11)*g)\/g*g)\/g))\/(g**(-1\/5)*g**(-2\/17)))\/((g\/g**1)\/(g\/(g\/(g*g**(-1\/2)))*g*g))**(-5\/3) assuming g is positive.\nAnswer: g**(-20743\/5610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) -1 (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 304603321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*c + 45 - 191 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50400 divided by 105.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**4 + 4*f**2*x**3 + 44*x**3 - x**2 with respect to f.\nAnswer: -16*f**3 + 8*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 640849696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2235*o + 2*o**3 - 5*o**2 + 2231*o - 57*o**3 + 2*o**2 in the form f + c*o**3 + u*o**2 + m*o and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*6\/(-8) - 0. Let w = -1975 - -19781\/10. Calculate the common denominator of 2\/q*87\/14 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 1. Let a be 3\/18 + b\/(-6). Suppose 0 = -3*j + 7*j - 504. Calculate the highest common factor of j and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let g(q) = -20*q - 33. Let a(l) = 10*l + 19. Let z(k) = 5*a(k) + 3*g(k). Determine j(z(p)).\nAnswer: -200*p**2 - 160*p - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*x + 6, 2*x - 5*x = 2*k - 4. What is the second derivative of -5*o**3 - o - 8*o + x*o**3 + 6*o wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 683, -4.\nAnswer: -4, 0, 683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 3, 39, -132, -12, -2 in ascending order.\nAnswer: -132, -12, -2, 3, 32, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 0 + (-2*sqrt(1872) + 3 - (sqrt(1872) - (sqrt(1872) + 2 + 1)))**2 + -4 + 4).\nAnswer: -1728*sqrt(13) + 45114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1372273\/38 - 36110. What is the common denominator of w and 97\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + y + 61, 8*u + y + 160 - 79 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1043, 986, 931, 878, 827?\n\"Answer: v**2 - 60*v + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2 + 36814468*o + 169413131765378 = 0. Calculate o.\nAnswer: -9203617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*d - 7*d + 2*d. Solve 20*y + 226 - 126 = d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 71*n - 2583. Determine b(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 17 = 27. Suppose 16*u - 10*u = 36. Suppose -2*h - 66 = -u*j + 2*j, -3*j = -h - 51. Calculate the lowest common multiple of b and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) 67 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 187, 189?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*g**5 + 5*g**4 + g**2 + 8756*g.\nAnswer: 1000*g**3 + 60*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161 by -23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = r + 1, -r = 5. Solve -5*p + 2*h + 6 = 0, -p - c*p = -2*h - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7794205*y**4 + y**3 + 948*y - 627?\nAnswer: -93530460*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 68?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118 and 12?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**3*v**3 + 3624*a**3*v + 6*a**2*v + 1031*a*v**2 wrt v.\nAnswer: -42*a**3*v + 2062*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5304 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 33 = 121. Calculate the lowest common multiple of u and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 847?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/18 + ((-156)\/(-8))\/1. Suppose -54*r = -55*r - 5*j + 28, 0 = -4*j + q. Solve -3*l = -r*z + 5*z, -2*l = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245936055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 4*x**2 + 2*x**2)*((0*x + 0*x - x)*(-3*x + 5*x - 3*x) + (-2*x + 3*x + x)*(-4 + 4 - x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1697 - 3633. Let h = t + 7835\/4. Find the common denominator of 55\/174 and h.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145 and 5?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1111 + -1107. Let y(n) be the third derivative of 0*n**z + 1\/540*n**6 + 0 - 11*n**2 + 0*n**3 + 0*n - 1\/90*n**5. Factor y(m).\nAnswer: 2*m**2*(m - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x - 6*x + 7*x**4 + (7*x**3 + x**3 + x**3)*(114 - 30*x - 114) in the form a*x**3 + d*x + l + f*x**4 + v*x**2 and give f.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151 + -162 + 2 + -3 + -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 633, 1007, 1385, 1767, 2153, 2543, 2937?\n\"Answer: 2*n**2 + 368*n + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6775 - -6937. What is the least common multiple of g and 972?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(340)\/(sqrt(10) + sqrt(50)\/sqrt(5)))\/sqrt(2) - ((-3*(sqrt(2448) - (0 + sqrt(2448))))**2 + 0)).\nAnswer: -15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 45*n = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 9*h + 24. List the prime factors of o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*t = -10, 2*q - 8 = 3*t + 1. Suppose -19 = q*r + 5*w - 18, -5*w - 10 = 0. Solve 0 = -2*l - r - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Solve b + 7 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-40))\/((279\/(-96))\/(-31))*(-108)\/48\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -57*m - 64. Is m >= -10\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424818 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4536467 - 13*s - 4536467.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (699 - -3 - 1)\/(-1 - -2)?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 812, 802, 792, 782?\n\"Answer: -10*f + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:36 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64056, -256365, -576868, -1025553, -1602408?\n\"Answer: 2*h**3 - 64109*h**2 + 4*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-561562)\/(-7) - 344\/301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2748 (c) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4368 + 33409?\nAnswer: 29041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -1 - (204 + -209)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -652*g**5 - 761*g**5 - 274*g**5 + g**4 + g**5 - g**4 + (g - 3*g + g)*(-g**4 + 4*g**3 - 4*g**3).\nAnswer: -1685*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -1323?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 11267*d - 104 + 103 - 1044*d**3 - 11264*d in the form o*d + j*d**2 + s*d**3 + h and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = u, -4*f - 12 = -2*u - 4. Let t be 1*(-3)\/2*u. What are the prime factors of 2\/t*(-276)\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from xwionxitxxoinowiooin.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-73)\/((-18396)\/72))\/10*-2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.83*-0.4\nAnswer: 0.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 282*i. Let m be q(1). Let k be 1\/4 + 11\/4. Suppose o + 2*o + 3*t = m, o = k*t + 82. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -8 - 10. Let y(w) = w - 7. What is y(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1429, -5619, -12591, -22363, -34953, -50379, -68659, -89811?\n\"Answer: -3*u**3 - 1373*u**2 - 50*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2\/1855?\nAnswer: -2\/1855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (22\/4 - (-6)\/(-18)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4137210 and 3573045?\nAnswer: 78606990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22665?\nAnswer: 3, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 - 140\/(-56)*(-84)\/(-10). Suppose -2 = -3*q + 1. Let j = 12 + q. Calculate the highest common divisor of k and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 4 - 11*i + 4 + 7*i in the form g*i**2 + f*i + v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1) - ((-44)\/22 + (-5 - -11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 184, 125, 56, -17, -88, -151?\n\"Answer: q**3 - 11*q**2 - 33*q + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 2*g - 21 = 5*j + 20, -46*g + 41*g = -3*j + 6 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x**2 - 8*x + 96. Let s(d) = -36*d**2 + 19*d - 200. What is -5*r(l) - 2*s(l)?\nAnswer: -18*l**2 + 2*l - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and 50807?\nAnswer: -3962946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10348952 divided by -10348952?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u + 26 = 22*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -434.9912 - -435. Let i = 0.0153 - h. Round i to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2707 = -46*a + 191. Let i = 333 - 171. What is the smallest common multiple of a and i?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {l: 2, z: 4, i: 2, r: 3, x: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*r - 171 + 175, -5*z + 12 = -2*r. Suppose 2*d - 92 - 12 = -5*t, 2*t = 4*d + 32. Solve -4*q - t = 5*n, -3*q = -0*q - z*n - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130*z + 313 - 313)*(-3 + 1 + 0)*(0 - 3 + 4)*(0 + 1 + 1) to q + r*z and give r.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189957\/4 - -189959\/4. Solve 25\/2*s**3 - 11 - w*s**4 - 69\/2*s**2 + 67\/2*s = 0 for s.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51\/12 - (-3)\/4. Suppose r = 4*o + w, 3 - 4 = o + w. Suppose -90 - 42 = -o*c. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 6 + 23*j**5 - 4 + j wrt j?\nAnswer: 460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602137007 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 1. Let g be l(1). Suppose -3*p - 1 = -p + o, -p = -5*o + 17. Suppose -5*d - 21 = 2*s, -12 = -s - 0*d + 2*d. Sort g, p, s.\nAnswer: p, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45501.\nAnswer: 3, 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91949*n + 92688?\nAnswer: 91949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0 = -s - 1, 5*s - 19 = u. What is the units digit of u\/(-4*3\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*j**2*k**2*q**2 - 275*j**2*k**2 - 3*j**2*k*q**2 - 18*j**2*k - j**2*q + 18*j*k - 4*j*q**2 + 2*q wrt k.\nAnswer: -234*j**2*q**2 - 550*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*q + 612*q - 75*q to i + j*q and give j.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24f (base 16) to base 7.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqyqyyyyyyyyyyqqyq. Give prob of picking 2 q.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -10. What is the lowest common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*45617.\nAnswer: -228085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5220 and 13860?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5\/2 (b) -26521\/2 (c) -9 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -9 + 16 - (-1 + 20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8244714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 308662\/317 or 974?\nAnswer: 974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 4 + (-7 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14571 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 144*c**3 + 6*c**2 - 10*c + 9. Is q(3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i. Suppose w - 3 - 1 = x, -4*w + 3*x + 13 = i. Suppose -4 = -g - w. What is the greatest common divisor of g and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 18*x**2 - 61*x - 264. Let j be y(-4). What is the highest common divisor of 134 and j?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31565532\/179 at most 176343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-54)\/(-225)) + 20. What is the closest to s in 5, -10, 0.5, -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(1\/8). Let j be ((-15)\/10)\/(14\/i). Let n = -7 - -8. What is the nearest to n in -1\/3, j, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 91*n**6\/30 + 29*n**4\/12 + 1083*n**3\/2 - 4472*n. What is the second derivative of q(t) wrt t?\nAnswer: 1092*t**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 17*c - 208 = -2*l, 2*l - 220 = 2*c. Suppose -36*j + l = -2. Solve 3*r = 3*m + 6, 4*m = j*r + 2*m - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.448 - 0.16. Let h = -0.212 - 0.128. Let g = d + h. What is g rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 1 - (-22 - 1). Let s = c - 16. Suppose -9*d + 7 = j - 8*d, 5*d = 20. Sort j, -3, s, 2 in increasing order.\nAnswer: -3, 2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.79 and -2?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:22 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a + 84. What is the remainder when 16\/10 - 309732\/(-3180) is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*n - 76*n + 145*n - 1152 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1346\/205 - -26\/41. Find the common denominator of y and 9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46185 is divided by 67.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*((9 - 17) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 75 = -12*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 3*f + 21. Let c be (-57)\/(-21) - (-5)\/(35\/2). Let z(j) = -2*j**2 + 3*j + 3. Let m be z(c). List the prime factors of g(m).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 4*r - 24, 5*r + 111 = -4*v + 114 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02 (b) -1 (c) 69 (d) 0 (e) -23 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**33))**(-3\/7)\/((v\/v**23)\/(v**(-30)*v)) assuming v is positive.\nAnswer: v**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-6)*(-20)\/(-3). Solve 0 = -2*y + 2*r + 4, 3*y + 3*r + 2*r - f = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142407?\nAnswer: 3, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4962 and -0.1.\nAnswer: -4962.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p - 8. Calculate g(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28714 is divided by 16395.\nAnswer: 12319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 13 = -5. Let h = w - 2. Which is the third biggest value? (a) h (b) -3\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -4*z**2 - 8. Calculate s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158696939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 0.013 (c) -2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 13*f + 11*f - 90. Which is the second smallest value? (a) 1 (b) -2\/7 (c) f (d) 8 (e) 7\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -8.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. Let z(t) = -t**3 + 4*t + 3. Calculate the remainder when 25 is divided by z(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 244\/(-2)*(-25)\/(-10). Let y = 547 + z. Let a be 0 + -4 + y\/11. Calculate the highest common divisor of 117 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g - 25. Let p be d(16). Let i = -62 + p. Is i != 90\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -348 + 2293. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*x + 10 = x, x + 15 = 5*r. Suppose 2*s - 5*d - 105 = 0, -5*s - r*d + 231 = -4*d. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3635436 and 102644.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + r**2 - r**2 + (-6*r**2 + 37268*r - 37268*r - 2)*(-1 - 3 + 1) as i*r**2 + q*r + v and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -0.3 (c) -4 (d) 0.074 (e) -90 (f) 4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15301, -4, -2, 16, -3 in decreasing order.\nAnswer: 15301, 16, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:53 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 2*d**3 - 3*d**3)*(-2 + d + 2) - 4*d + d**4 + 4*d + (1 - 2*d - 1)*(4*d + d**3 - 4*d).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 12) to base 2\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 55*o**2 + 140*o = 0. Calculate o.\nAnswer: -7, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -205*t**3 + 4*t**2 - 19*t + 26. Let w(d) = -100*d**3 + 2*d**2 - 9*d + 12. Determine 6*r(k) - 13*w(k).\nAnswer: 70*k**3 - 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(1300))*1*6*3)**2*-6.\nAnswer: -2529846 - 45360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -292453\nAnswer: -16084915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 times 1.112?\nAnswer: 4.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6 + 3*g + 7*g**2 - g**3 - 5*g**3 + 0*g**3. Let x = 22 - 15. Let w be t(x). Round w to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 19*o + 40. What is s(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**4 + h**4 + 0*h**4 + (3*h + 2*h**3 - 3*h)*(332 - 44*h - 332) to s + n*h + m*h**2 + t*h**3 + v*h**4 and give v.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**4 + 2604*u**3 - 47784*u**2 + 256384*u - 342528 = 0.\nAnswer: -669, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -1\/195*i**6 - 3*i + 0*i**2 + 1\/39*i**4 + 0 - 1\/130*i**5 + 0*i**3. Suppose b(o) = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 - 285. Suppose 3*z + 2*h = 9, 10 - 13 = -i*z - 4*h. Solve f + 0*f = -4*l + 7, -z = 4*l - 3*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -5. Let x = u + 2.00000042. What is x rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 844340, 844343, 844352, 844367, 844388?\n\"Answer: 3*i**2 - 6*i + 844343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 76 - 86 = 105*x + 48, 4*x + 4*r + 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccncccccnccnc. What is prob of sequence cn?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, 132, 195, 256?\n\"Answer: -q**2 + 68*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19637929*x - 19637932*x - 17 - 7.\nAnswer: -3*x - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2495217 * 4.\nAnswer: -9980868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 7:50 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/94 + (-100)\/141)\/((-4)\/(-438)). Which is bigger: x or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7709 + 61*h - 7709)*(-1 - 2 + 2)*(-1 + 3 - 5).\nAnswer: 183*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -10 + 0*a**2 + a - 2\/3*a**3 - 3\/4*a**4. What is b(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 9, 1 in descending order.\nAnswer: 9, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 1504294 + 386252. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 26*c**2 + 23*c + 54. Let k be j(25). Solve x + k = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 3*i - 3. Calculate n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1\/13, 955, -32, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5956619\/87708 + 18\/7309. Let i = h - 155\/3. Find the common denominator of (14\/(-4))\/((-3)\/17) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 2*z**3 - 3*z**4 + 20*z**2 - 2*z**2 - 12*z**2 + 2*z to the form c*z + f*z**2 + u*z**3 + i*z**4 + j and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-36) + (-1)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37457894 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 - 8*p - 8. Let i be 19 + -14 - (-9)\/(-1). Let l be ((-2)\/4)\/(-3 - 14\/i). Let t(s) = s**2 - s - 1. Calculate l*b(k) + 8*t(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 13*k + 2. Let h(r) be the second derivative of -r**5\/5 - r**3\/3 - r**2\/2 + 2*r. What is the units digit of h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 65*l**2 + 3098*l - 558. Determine t(-97).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 451*i**3 - i**2 + 7*i - 6. Let q be z(1). Let o = -449 + q. Let a(v) = -2*v**3 + 2*v**2 - v - 1. Determine a(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 21644790.\nAnswer: -6493437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/10 + 2090449*k**2\/10 - 546249740752*k\/5 + 546244514642.\nAnswer: -(k - 1045222)**2*(k - 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1488900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11385 + 11385.022208. What is w rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1415 - 25400?\nAnswer: -23652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1, 3, 2, -26.48 in descending order.\nAnswer: 3, 2, -2\/9, -1, -26.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o - 2*o**2 - 73*o + 0*o**2.\nAnswer: -2*o**2 - 46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -222 + 258. Suppose j - 53 = 19. What is the common denominator of (-590)\/j + 9\/t and -49\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/393307?\nAnswer: 2\/393307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14161 = 3*p + 14*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(1100))**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/6*24\/9. Let m be (-1 - (-705)\/b)*-4. Let n = m - 162. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40028 is divided by 1099?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:33 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -22*z - 864. Calculate y(-26).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from eieiieiiinfnn.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -q + 849074, 98*q + 1698190 = 2*k + 93*q. Round k to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339608435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 29. Suppose -v + 302 = 4*v + 2*r, 238 = 4*v - m*r. Calculate the greatest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.56 and 911438?\nAnswer: 911438.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22387 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -11111100100100110?\nAnswer: 11111100100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 77848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 45. Let i = -12.9 - f. Let r = 2.2 + -2. Sort -0.4, i, r.\nAnswer: -0.4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595500 rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5635769?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prr when three letters picked without replacement from {r: 2, p: 2, d: 2, l: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -446257?\nAnswer: 446261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 4664\/55 + (-3 - 32\/(-10)) - -6?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 20181*o**3 - 5*o**2 - 15*o + 5. Let b(r) = 896218028*r**3 - 222046*r**2 - 666138*r + 222046. Calculate 5*b(m) - 222046*t(m).\nAnswer: -20186*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -787520 (base 10) to base 5.\nAnswer: -200200040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from iixa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32796\/6305 - 2\/1261. Let h = 6 - f. Let d = -850\/7 - -122. Which is the second smallest value? (a) h (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-1 + 3) - -3. Suppose 9*x = d*x + 30960. Suppose l = -5*l + x. What is l rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8592188, 8592190, 8592192, 8592194, 8592196?\n\"Answer: 2*c + 8592186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 1139 = -1145 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 61. What is the second biggest value in -1\/4, 1, a, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3892520*m + 3892520*m + 170*m**2 - 63 in the form q*m + y + b*m**2 and give b.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 37*i = 2*i + 120. Let u(k) = k**3 + 5*k**2 + 2*k + 4. Determine u(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1559955377 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - 20. Let z = -19 - q. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84879 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1520)\/266)\/(14 + (-779)\/56)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 496, 716, 918, 1096, 1244, 1356, 1426?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441406 and 81262.\nAnswer: 437433346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4719 divided by 143\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 336040 = -4*l, -47*l + 5*i = -54*l + 588087. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1467, 1485, 1515, 1563, 1635, 1737, 1875?\nAnswer: 2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4213.9 - -4198. Is 4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8917 and 25552025.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 0*s - 1 + 2*s + s**2. Let j(z) = z**2 - z + 5. Let r be j(4). Let v(d) = 1 - r*d + 18*d + 0. Give 2*v(l) + w(l).\nAnswer: l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32414915 - 22485085. What is h rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a + b4362d?\nAnswer: b43678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*r**3\/15 + 13838*r**2\/15 - 11096*r\/15 - 568\/3 = 0 for r.\nAnswer: -142, -10\/49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 6.761251\nAnswer: -2.0283753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let j(y) = 3*y - 4. Let o be 42\/4*(-160)\/(-280). Calculate o*n(i) - j(i).\nAnswer: 3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 2*l)*(2 - 3 + 3)*(-1 + 1 - 2*l**2).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 divided by 253.\nAnswer: 470\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - x**2 - 2*x**2 + (-4*x + 4*x + 2*x)*(3 - 3 - 2*x) + 2 - 2*x**2 - 2 - 27*x + 11*x**2 + 27*x - 2*x**2 + 5*x**2 - 5*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 2, h: 1, e: 1, k: 1, j: 1}. What is prob of sequence hl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-9)))\/h)\/h*h)**(-3\/31)\/(h**(-2\/5))**(9\/10) assuming h is positive.\nAnswer: h**(-321\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 h when three letters picked without replacement from hhhhhhhwpw.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = -5*v, 5*v + 55 - 36 = -3*c. Let f(o) = 2*o + 7. Let a = 5 + -5. Suppose -12 = -3*k - a. Let j(n) = 2*n + 6. What is c*f(h) + k*j(h)?\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2146*i**2 + 29*i - 30. Is p(4) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-55)\/33)*-1. What is the closest to 2\/5 in o, -5, -10.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 5*c - 5*q, 3*c + 2*q - 28 = 0. Solve -4*u = -2*y - y - 8, 2*u + y + c = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*k**2*q**2 - 2*k**2*q - 22*k*q**2 - 8556*k + 3*q**2 wrt q.\nAnswer: 90*k**2 - 44*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93161.\nAnswer: 59, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by -28.\nAnswer: 153\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -321, -722, -1283, -2004?\nAnswer: -2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 888 (b) 1 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoiioot. Give prob of sequence oii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 2*i - 6*i. Let l(d) = -d. Determine x(l(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqqp when four letters picked without replacement from ppppqppppqp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 3*c**5\/20 - c**4\/6 + c**3\/2 - c**2. Let k = -17 - -19. Is x(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14055, -56123, -126207, -224301, -350399, -504495?\nAnswer: -686583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1446 and 22\/21?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 5 + 2)*(3*u - 2*u + 0*u)*(2*u**2 + 3*u**3 - 2*u**2)*(2 - 2 + u).\nAnswer: 21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9 - -3.5. Which is the biggest value? (a) j (b) 0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/784*1\/1*(-11 - 6696\/(-603)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134120 * 13.1.\nAnswer: 1756972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -24 (b) -5 (c) 1\/2 (d) 6903\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 113.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 9*a**2 + 9*a + 7. Suppose -r - 4 = -0*r, -4*h + r + 112 = 0. What is the remainder when h is divided by u(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -348*a - 2946 + 3676 - 9778 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-3 - 2)\/(-1). Suppose 6 = -2*t - 2. Sort a, t, 0.\nAnswer: t, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*k**4 + 4*k - 270.\nAnswer: -300*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4924*m - 173*m**2 - 2465*m - 2459*m. Let b(o) = o - 24. What is b(y(q))?\nAnswer: -173*q**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 - 16 = -m, 5*k + 4*m - 32 = 0. Calculate the least common multiple of k and -2*(4\/10)\/(7\/(-35)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12 - 1)*(2 - 1 - 7)*(a - 13*a - 5*a).\nAnswer: 1530*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000101011101 (base 2) to base 12\nAnswer: -26a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {m: 2, e: 4, g: 3, z: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:09 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + (sqrt(108) - 4*(sqrt(108) + 3)))*-2)**2*5.\nAnswer: 5760*sqrt(3) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - w + 15. Let l be b(0). Suppose 10*c - l = 5*c. Solve c*k + 3*j + 8 = j, 5*j = -3*k - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -373842 - -1495273\/4. Find the common denominator of (-1 - -1) + 25\/(-9) and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 10*p + 8. Let s be t(4). Suppose 0*c - 3*c + 12 = s. What is the smallest common multiple of 10 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.5. Let s = g + 0.1. Is -1 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*y + 4*x, 4*y - 30 = 83*x - 81*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 9*f**2 + 8. Let r be o(-9). Let p(m) = m**3 - 7*m**2 - 10*m + 20. Suppose 6*i - 18 = 3*i. What is the lowest common multiple of p(r) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2092990 to the nearest 10000.\nAnswer: 2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789446673?\nAnswer: 3, 87716297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by 51?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 701820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50687.8 or -459?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + ((sqrt(2057) + (2*sqrt(2057))**2)*-1 - 5*sqrt(2057)*2))*-6*1.\nAnswer: 2904*sqrt(17) + 197520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180\/(-30)*((-38)\/(-18) - 2). Put p, -679, -1\/3 in decreasing order.\nAnswer: -1\/3, p, -679","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w + 17 - 24*w - 24 + 7 to u + b*w and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 177 = -1716. Suppose -197 = -4*s + 6*l - l, -3*s - 4*l + r = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000230956 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)\/((x**(-2\/9)\/x)\/x))\/(x\/(x\/x**(-2))*x)**5 assuming x is positive.\nAnswer: x**(547\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 2*o**3 + 3*o**2\/2 - 3*o + 5. Let k(u) = -u**2 - 1. Let p(s) = -5*k(s) - l(s). Give p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 18*y - 92. Determine o(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/13)\/((s**(4\/3)*s)\/s))\/(s*s\/(s*(s\/(s\/(s\/s**(-2\/25))*s))\/s*s*s)*s\/(s**12*s*s)) assuming s is positive.\nAnswer: s**(11228\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*c + 5*g, c - 16 = -0*c - 4*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 6*q**3 - 27*q**3 - 25*q**3.\nAnswer: -39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c. What is the second derivative of 3*d**4 + c*d**2 - d + 3*d**2 - 3*d**2 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**17*x)**(2\/15)\/(x\/((x\/(x\/((x**(-2\/149)*x*x)\/x)*x))\/x*x)*x\/x**36))**(23\/3) assuming x is positive.\nAnswer: x**(207828\/745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1297362 and 2904.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a second?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 18329470 + 18329470.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 13*f**2 - 9*f - 14. Determine g(-13).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35619307 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4. Let u be f + (6 - 4) + -2. Suppose w - u*w = -3*s - 10, w = -s - 10. Is -3 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2588\/8*(-4 + 2). Let j = 1670 - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n**2 - 13*n**2 + 5*n**2 + 11*n**3 + 3*n**2 - 1 + 12. Let f be (-2)\/(-2) - (-2 + -1). Let q(m) = -6*m**3 - 3*m**2 - 6. Calculate f*p(j) + 7*q(j).\nAnswer: 2*j**3 + 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4 + 1)*(-1014)\/1521*(1 - -57)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 103*i**2 + 6*i + 73. What are the prime factors of q(7)?\nAnswer: 2, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-6)\/4. Suppose -c - t - t + 21 = 0, -2*c = -4*t - 82. Let o = c - 33. Is o equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(324) - sqrt(324))\/sqrt(9) + (sqrt(144)*1 - sqrt(144)))\/((sqrt(48) - (sqrt(48) - sqrt(48)*2*1))\/(sqrt(4) - sqrt(36)*-3)).\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -581067 (base 10) to base 2\nAnswer: -10001101110111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 1}. What is prob of sequence gg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.61823 kilograms in milligrams?\nAnswer: 2618230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 928 = 577. Let g = 593 - 591. Suppose -3*s + 15 = 0, 2*s + s - m = -g*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-58) - (5208\/(-4743))\/(145\/6)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-5 + (6 - -1)) - -27.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29779.99 - -0.9\nAnswer: 29780.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 822702269 to the power of 1\/2, to the nearest integer?\nAnswer: 28683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2063 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 485, 1235, 1955, 2645?\n\"Answer: -15*w**2 + 795*w - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 7 = 3*y. Suppose 0 = -7*h + 3*h - 36. Let a = 17 + h. What is the smallest common multiple of y and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26041 - 26041.7. What is the closest to -1\/4 in 1\/7, -0.08, -0.5, f?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = -41*k, -3*j + j - 3*j + 20 = k - 4*k for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*l + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 14 = 3*s + 7, -4*f = -2*s + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*h + 8 = 3*h, -2*h - 10 = -5*p. Let k(s) = s**2 - s - 6. Let m be k(7). Suppose -t = t - m. Solve -a - c - 11 = a, -t = 4*a - p*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*x + 5 = 2*x, l = -x + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 29. What is the remainder when 38 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-2\/71)\/(r**(-15)*r**23))**(11\/2) assuming r is positive.\nAnswer: r**(-3157\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 11*t**2 - 9*t - 7. Let r be c(-7). Which is smaller: -68 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73506*g - 36762*g - 36754*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 508 = -4*y - 4*m, 4*y - 536 = 4*m. Suppose l - 6*l = -110. Suppose y - l = 3*p. What is the least common multiple of 12 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/12*37)\/(85590\/45648).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084311826?\nAnswer: 2, 13, 389, 107209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 1077 + 1053. Suppose 0 = 5*t - k - 877, -4*t + u = -2*k + 4*k. What is the smallest common multiple of t and 8?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1351749 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 7*o - 4. Let p be s(-5). Suppose 208 = p*f - 2*f. Suppose 5*a - 33 - f = 0. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6334.057 + 6367.9. Let w = 0.457 + o. Let q = w - 36. What is q rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 703422 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 56322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*o - 16, 123*o + 2*b = 120*o + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -1 (c) 1398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.7, -0.5, -2\/7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -104, -86, -48, 16, 112?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 50*y - 667. What is v(-25)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 0 - (-113 - -101)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*l + 107, l - 2*v + 94 = 4*l. What is the highest common factor of 308 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573, 572, 571, 570, 569, 568?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u - 1. Suppose 2*w = -0*w - 24. Let y(k) = -3*k**2 + 15*k + 12. Let d(i) = w*m(i) - y(i). Let d(l) = 0. What is l?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031 is divided by 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2328*y**2 - 31*y - 29. Let d be q(13). What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*i + g**2 - 356*g*i - 25 wrt i.\nAnswer: -2*g**2 - 356*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1109533 divided by -5?\nAnswer: 1109533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -137, 344, 1475, 3256, 5687?\n\"Answer: 325*j**2 - 494*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41 - 13) + 55)*7\/(-13)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220 - -100. Let j be -2 + o\/(0 - 3). Suppose -2*f + j = 4*i, -2*i = -0*i + 5*f - 7. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 70 = -5*s. Suppose -2*h - 4*k + 6 - s = 0, 5*h - 13 = k. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - 1. Let a be ((-6)\/(-8))\/(5 - (-185)\/m). Let n(k) be the third derivative of -k**4\/4 - k**3\/6 + k**2. Calculate n(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/2? (a) 2 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/64048 and -7\/16012?\nAnswer: 64048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o + 7. Let n be m(-5). Suppose 2*k - 16 = -3*j + 11, -3*k = -j - n. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21142 + 20539. Is -2\/9 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 at most 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 take away -12986?\nAnswer: 12985.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-108)\/3024)*(-2)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -467779\/41195 - -1612\/385. Let i = -1355 - -869909\/642. Let h = j - i. Calculate the common denominator of h and 87\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:53 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 + j**2 - 2*j - 3. Let u be l(-1). Suppose 0 = 2*h - 2*q - 82, -u*h - 3*q - 2*q = -99. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*5402\/(-15111) - (-10)\/115. Suppose -3 = -f - 1. Factor 0 - 8\/9*o**f - s*o**3 - 4\/9*o.\nAnswer: -4*o*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 5. Suppose -3*y = -6*y, 140 = -4*i - 2*y. Let s be (-90)\/i - 3\/(-7). Let v(q) = -q - 4 + 6*q + 0*q - s*q. Calculate -4*j(h) + 5*v(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1703661 (base 8) to base 3.\nAnswer: -221001221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749.0454 nanograms to micrograms.\nAnswer: 0.7490454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3076561?\nAnswer: 83, 101, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 345 + -345.1. Let w(x) = 2*x - 3. Let z be w(4). Suppose -2*y - 3*g = 3, 3*y + 0 + z = -4*g. Which is the nearest to p? (a) 4\/5 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 62013 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 6218045?\nAnswer: 8\/6218045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5956 + 5953.5047. What is o rounded to 2 dps?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**4 - 214*v**3 - 1619*v**2 - 3211*v - 60. Let t(n) = n**4 + n**3 - n**2 - n + 12. Let u(p) = -o(p) - 5*t(p). Suppose u(k) = 0. What is k?\nAnswer: -201, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 278*y + 18798. Determine p(-124).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -339451, -339452, -339453, -339454, -339455?\n\"Answer: -x - 339450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**4\/12 - x**3 - 31*x. Factor r(w).\nAnswer: -w*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 + 1001*j**4 + 1510*j**3 - 2005*j**2 - 1508*j + 1004 = 0. Calculate j.\nAnswer: -2, -1, 1\/2, 1, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:45 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4720614*d**3 + 70910328*d**2 - 3034623*d\/2 + 16245\/2.\nAnswer: -3*(d - 15)*(1774*d - 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -25*l**2. Let t(m) = 24*m**2. Calculate r(t(j)).\nAnswer: -14400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*r + 412 - 412)*(8*r**2 - 2*r**2 + 2*r**2).\nAnswer: -296*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8448 minus 0.118117?\nAnswer: -0.962917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - z + 29, 5*z - 65 = 19626*o - 19617*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91243574501*f**2 - 91243574501*f**2 - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13214044 and 27436?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/5 of a meter?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 57, 68, 77, 84?\n\"Answer: -g**2 + 16*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1331 and 913.\nAnswer: 110473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 - 7*y + 10. Let d be (23 - 24)\/((-2)\/(-8)) - 5. Let z(w) = 28*w**2 + 29*w - 42. Let p(q) = d*i(q) - 2*z(q). Differentiate p(c) wrt c.\nAnswer: 14*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 + l + 1. Let m(f) = 4*f**4 - 12*f**3 + 4*f**2 + 12*f + 24. Let v = -80 + 74. Let q = -22 - v. Let h(u) = q*b(u) + m(u). Factor h(n).\nAnswer: 4*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 34*r + 147. Let g(c) = -12*c - 49. Let o(z) = 8*g(z) + 3*l(z). What is the remainder when 96 is divided by o(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*i - 28*i + 221 - 19024*i**2 + 19018*i**2 + i**3 as u*i**3 + n*i**2 + m*i + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -16.1648?\nAnswer: -64.6592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -25*g - 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23.01824km?\nAnswer: 2301824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**4\/60 + 11*q**3\/30 - q**2 + 7*q - 8. Let s(r) be the first derivative of o(r). Factor s(m).\nAnswer: -(m - 10)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 19*w**2 - 5*w + 12. Let b(n) = 10*n**2 - 3*n + 6. Let x(i) = -5*b(i) + 3*y(i). What is the first derivative of x(c) wrt c?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1458 and 129033?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155142686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16903 + 16915. Solve 5*c = -3*m - 15 + 37, j = 3*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/10)\/(-2)*-5. Suppose -2*q + 16 = 4*l, -4*q - 2 = -2*l - 4. What is the units digit of (a - q - -10) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1811*n - 5430*n + 1808*n + 1808*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -255, -474, -755, -1098?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/378 + (-2)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -1047, -1583, -2137, -2715?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -384 = -384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 776.6 + -31.6. Let z = -744.8 + l. Which is the third biggest value? (a) -3 (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 9:59 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrl when three letters picked without replacement from rwrlkll?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 9. Let z be x(-9). Suppose -4*f + q = -92, z*f - f + 44 = 5*q. What is the remainder when f is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2. Let c(f) = 4*f**2 - 7*f. Let s be -14*2*(-4)\/(-16). Let j(m) = -2*m**2 + 4*m. Let n(y) = s*j(y) - 4*c(y). Determine x(n(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9213*f + 10458. Let l(s) = s + 42. Determine -d(o) + 249*l(o).\nAnswer: 9462*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(833) + sqrt(833) + -1) + -3 + sqrt(833)*-2)**2 + (2*(sqrt(17) - sqrt(2448)*-3 - sqrt(17) - (sqrt(102)\/sqrt(6) + 2)))**2.\nAnswer: -448*sqrt(17) + 96648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2310 divided by 5.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2716 - -2716.07. Suppose 3*b - c - 4*c + 5 = 0, -5*c - 25 = 3*b. Sort b, m, -3 in descending order.\nAnswer: m, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -44. Solve -31*o + r = -29*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51516 divided by -10\nAnswer: 25758\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266090*p**6 - 2*p**2 + 210459 wrt p.\nAnswer: -31930800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 13*o + 6 - 1.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 + 8*m**3 - 8*m - 4*m**3 + m**3 - m**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 4, -494, -1, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*a - 228 - 155, -395 = -3*a + 2*o. Suppose -3*n = -3*q - q - 205, 2*n + 5*q - a = 0. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 - 2*c**2 + 3*c**2 + 2*c**2. Let y(s) be the first derivative of 0*s**2 + 1\/3*s**3 + 4 + 0*s. Give i(y(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38130 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 641*g*m**2*y + 3379*g*m*y**2 + 2*m**2*y + 5687*m**2 - 7*y**2 wrt g?\nAnswer: 641*m**2*y + 3379*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -52. Let x(k) = 14*k + 2. Let f be x(i). Suppose f*d = 17*d - 21. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + 2*(-3*sqrt(70) + sqrt(70)))) + sqrt(70))\/(sqrt(360)*-3).\nAnswer: -5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6. Let c(n) = 2*n - 2. Let u = 372 + -370. Let s(q) = u*r(q) - 6*c(q). Let o(a) = -6*a**2. Determine o(s(w)).\nAnswer: -864*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 196*i + 1409. What is l(-6)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**3 + 0*j**3 - 3*j**3 + (0*j**2 - j**2 + 4*j**2)*(2 - 2 + j) to the form q*j + r + o*j**3 + i*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 520 and 5800.\nAnswer: 75400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3*j**2 + 6 + 1\/2*j**3 + 1\/60*j**5 - 7\/24*j**4 + 0*j. Let t(f) be the second derivative of r(f). Determine t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.8 + -6.3. Let j = 71 + -138. Let r = j - -471\/7. What is the nearest to r in 0.1, -3, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 5 + 3 + 1299*m + 3 + 2481*m.\nAnswer: 3780*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/6720 - z**7\/630 - z**6\/180 - z**4\/3 + 8*z**2. Let h(m) be the second derivative of t(m). Factor h(g).\nAnswer: -g*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742 = -5*v - 757, 4*v = -4*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*a**2 + 121*a**2 + 131*a**2 - 378*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:46 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1096\/14 - (-3)\/((-21)\/2). Let w = b + -63. Solve 0 = 3*v - 0*v - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.44 * -1.5.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1599 - -17718\/11. Let q = u + -5300\/451. Let y = -16530 - -16529. Is y >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Suppose 28 = -t + m*t. What is the remainder when 38 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05211 rounded to three decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 636336.8 weeks?\nAnswer: 384856496640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - sqrt(32)) + sqrt(2))*-1)**2 + 2 + (sqrt(4) - sqrt(16)\/sqrt(4))\/sqrt(2)*5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -476ab6 (base 16) to base 13\nAnswer: -c7b46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499680 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -j - 15 - 5, -4*x + 5*j + 36 = 0. Let p = 32 - 17. Suppose -2*r = -o + p, -r - 23 = -o + 3*r. Solve x*c - o = 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/336*8)\/(3\/(-12)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 13.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1. Let i(o) = -2*o**2 + o + 6. Give -4*g(l) + i(l).\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5865*j - 2048. What are the prime factors of b(-4)?\nAnswer: 2, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + r = -6*s - 56, 5*s - 5*r = -45. Let x = s - -20. Suppose 2*n - 2*n + 10*n**2 - x*n**2 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + u + 77 = 0, -9*u = -x - 7*u + 10. Solve x*d = 53*d + 185 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186585 and 37317?\nAnswer: 186585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7805353 to the power of 1\/2, to the nearest integer?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2297 + -4353668.\nAnswer: -4353668.2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 + 164. Suppose 3*h = -4*t - 25 + 183, -b*t - 240 = -5*h. Calculate the remainder when h is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 2. Suppose 0 = -d + 2*w + 1, -3*d = 2*w - 0 - 19. Let j be (-15)\/(-10)*(-8)\/(-6). Let p(s) = 0*s + j*s - s. Calculate d*p(o) - f(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1450758 or -1450756?\nAnswer: -1450756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 2*v**2 - 5*v + 8\/3.\nAnswer: (v - 1)**2*(v + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260107 and 6049?\nAnswer: 260107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 - 5*i + 2. Let p = -6 + 9. Let d be b(p). Solve -2*k = -0*m + m - 1, -m + d*k = 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-61.2.\nAnswer: -3.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 602 = -4*m. Suppose 5854 = -5*z - m. Let k = -8656\/7 - z. What is the common denominator of 69\/10 and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let b(d) = 78*d + 45. Let o(s) = -39*s - 17. Let k(x) = -2*b(x) - 5*o(x). Determine k(i(y)).\nAnswer: 39*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q + 13 + 11*q + q + (-4 - 1 + 3)*(-2*q - 2 + 2).\nAnswer: 8*q + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1898.6 times -25\nAnswer: 47465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 842543623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 + 5. Let n(f) = f**2 - 1. Let m = -2284 + 2280. Determine m*g(x) - 20*n(x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11408 - 11455. What is the smallest value in -2, o, -28?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17250)\/(-2415) - 48\/42?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/6*-1*15\/(-10). Let c be 8\/p + 5 + -6 + -1. Let y be (-2)\/(-56) - (-2)\/8. What is the closest to y in 0.3, c, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*p + 44. Let m = p - -11. Is 598\/3 - m\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d**2 + 1. Let n be z(1). Let h be (-90)\/(-27)*(-138)\/(-5). Let b = 80 - h. Which is bigger: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (3 + (-35 - 3))) + (14 - 16 - -3)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 8162.\nAnswer: 8162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 12) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l**6 + 11*l**4*w**3 + 163*l**2*w**3 wrt l?\nAnswer: -960*l**3 + 264*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v + 29*v + 0 + 0 to the form p*v + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88) + (-1*sqrt(88) - sqrt(88))) + sqrt(88))\/(sqrt(8) - (sqrt(80) - 4*sqrt(80))\/sqrt(10) - sqrt(8)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1515 + 2019. Calculate the remainder when q is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*k = -44, -3*k - 4 = 2. Calculate the remainder when n is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111077*q**2 - q + 30145?\nAnswer: -222154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 225449245890.\nAnswer: 225449245887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -10. Let g(x) = 4*x**3 - x + 1. Let f be g(r). Let p = -5.7 + 6. Which is the nearest to -1? (a) f (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 88 = 40*c + 11*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 10*s - 6*s - k, 0 = 15*k + 45 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwixxnxnwxiixiixix. Give prob of picking 1 x, 1 i, and 1 w.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5665\/56 - -599\/8. Let t = -169\/7 - q. Which is greater: t or -0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.12, -4, -9.6, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 - j - 4. Let f be (2 - 3)\/1*(9 - -1). Does 6 divide s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.51 - -0.11. Let h = p - -1.4. Sort h, -5, -0.3.\nAnswer: -5, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -10) + 1 + (1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54835131 is divided by 54835102?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -41, -1\/10, -0.714, -2 in increasing order.\nAnswer: -41, -5, -2, -0.714, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.3 - -49.3. What is the nearest to -3 in 2\/7, 0.07, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -21) + -17 - (-3 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/75)\/(16\/40)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.16173\nAnswer: -0.016173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3\/4, 0.3, -2\/3, 5 in decreasing order.\nAnswer: 5, 0.3, -2\/3, -3\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.42854946 rounded to four dps?\nAnswer: -1.4285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 4*u + u)*(4*u**2 - 4*u**2 - u**2) - 4*u + u**3 + 4*u - 302*u**2 - 304*u**2 + 608*u**2 + 30 - 2*u**3 to w + t*u + x*u**3 + o*u**2 and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z**(1\/3)*z*z)\/z)**(-2\/27)*(z*z\/z**(-2\/5))**7 assuming z is positive.\nAnswer: z**(6704\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/60 - j**5\/15 - 23*j**2. Factor a(g).\nAnswer: 2*g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + -5 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 + 8*d - 2. Let r be z(7). Suppose -r*k + 23 = 3. Let s = 8 - k. Calculate the greatest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94027.\nAnswer: 17, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86234339 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 - g - 3. Let u(l) = 28*l**2 + 5*l + 13. Give -9*s(i) - 2*u(i).\nAnswer: 7*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (2*3)\/((-3)\/(-2)). Suppose -3*r + 5*v = -149, 0*v + 252 = q*r + 4*v. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 98340*r**2 + 196683*r - 98342.\nAnswer: -(r - 1)**2*(r + 98342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:26 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - n + 3)*(113 + 420*n + 582*n - 1059*n).\nAnswer: 57*n**2 - 113*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3186435 is divided by 167707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -7*l + 3 - 3\/2*l**2. What are the prime factors of w(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 48. Suppose l - c = -0*l. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o - 190*o + 35*o + 33*o + 37*o + 39*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13362, 26737, 40112, 53487, 66862?\nAnswer: 80237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggugu. What is prob of sequence ug?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1960 (base 10) to base 16\nAnswer: 7a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 5, 1, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, -38, -129, -264, -443?\n\"Answer: -22*z**2 + 19*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3254243 + 4?\nAnswer: -3254236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88140777 to the nearest integer?\nAnswer: 9388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 0.05 (c) -7993\/21 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 458 = 462. Solve -8 = 4*m - 2*j - j, 4*j = 4*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17193620 and 400?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00118389659 to seven decimal places.\nAnswer: -0.0011839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654966 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**2 - 12*l + 4. Let v(g) = -8*g**2 + 13*g - 5. Calculate -5*d(h) - 4*v(h).\nAnswer: -3*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513867 (base 9) to base 3.\nAnswer: -120110222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 44*o + 12. Let j(b) = -4*b**2 - b - 3. Give -d(u) - 4*j(u).\nAnswer: 12*u**2 - 40*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, 0.1, -156191?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 15*b = 94*b + 24119. Which is smaller: -539\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.355457 rounded to 3 dps?\nAnswer: 1.355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84\/(-9)*(-972)\/8 - -7 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-21)*(-414)\/92)\/(1 + 1)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -26*n - 12. Let j be n\/(-1)*(-18 - -165). Suppose -4*p + 5*r + 588 = 0, 0*r + j = 4*p - r. Calculate the remainder when p is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rykmrkkykykygmk. Give prob of sequence mygy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 28 + 29. What is the remainder when 37 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-29008)\/(-448) + (-36)\/(-16)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, q: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192583224 and 27?\nAnswer: 192583224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (3 + -12 - -33 - (-86 + 5))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/58753 or 1?\nAnswer: 1\/58753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1243512*x**2 - 87787*x - 10 wrt x.\nAnswer: 2487024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 490 - 490 + 275*c + (c - c + 2*c)*(-1 + 1 + 1) - c + 0*c + 2*c + c + 4 - 2 - 2*c in the form p + t*c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 0*n**2 - 2*n**2 + 320 - 160 - 5*n - 159 to the form q + b*n**3 + k*n**2 + i*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -1 - -19 - (-63 - -59).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35573 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 4) + (-4)\/(-16)*4. Let y be -8*1\/(-4) - 1\/f. Solve -14 = 3*v + 7*x - y*x, 4*v = 4*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 663.706cm?\nAnswer: 6637.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**3 - 7*h**2 - 2*h - 13. Suppose 2*q - 3*w + w + 4 = 0, 4*w = q - 13. Let a(o) = 8*o**3 + 6*o**2 + 2*o + 12. What is q*a(i) - 6*z(i)?\nAnswer: -2*i**3 - 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 72. Let q(v) = 2*v + 71. Let u(i) = 5*l(i) + 6*q(i). Let h = 0 + 0. Is 22 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.466 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*n + 98 = 4*j, -4*j + 5*n + 75 = 0. Let l be (-2404)\/8 + 10\/j. Round l to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4611 and 10946037?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l - 9. Let q be x(6). Let i be (-3)\/9*-1*30. Suppose -2*a = -0*a - i. Calculate the greatest common factor of q and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 take away -0.883?\nAnswer: -41.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 449075309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q + 20. Let n(c) = 2*c + 5. Let k = -2723 + 2714. Determine k*n(s) + 2*l(s).\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/10926 and -79\/18210.\nAnswer: 54630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 69\/29?\nAnswer: 69\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:14 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/((-56)\/(-1050) - 4\/30). Suppose 5*b = 5*u + 55, b - 13 = -5*u - 2. What is the greatest common divisor of b and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 58.06.\nAnswer: -5.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -1166666066?\nAnswer: -1166666056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56202, -112402, -168602?\nAnswer: -224802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n + 16 = 0. Let m = 23 + n. Suppose 5*g = 15, 11*q + 5*g = 6*q + 50. Solve -2*o - 3*v = m, 0 = 2*o + 3*o + 4*v + q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -680*o - 69. Suppose 2*w + 6*w + 80 = 0. Is c(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fftt when four letters picked without replacement from tfffftf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*a - 4835 = -73*a - 25 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(88\/36597))\/((-1)\/(-4)). Is h*(3\/2 - 1)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nannanxxannnnana. Give prob of picking 2 n and 1 a.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(1 + -1). Let q(i) = i**3 - 8*i**2 + 6*i + 5. Let a be q(7). What is the nearest to 1\/3 in a, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = -2*f, 4 = g - 5*g. Solve -f*b + 14 + 11 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/(-60))\/((-2)\/(-100)). What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - -3675?\nAnswer: 3681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 6*q + 15. Let s be a(8). Is s at most 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 + -241. Suppose 5*z - 2*q = -6*q + 120, y = -3*z + 2*q + 72. Calculate the lowest common multiple of 18 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -t + 8. Suppose 0*i = -3*o - i + 19, 2*i - t = -4*o. Put 6, 1, o in increasing order.\nAnswer: 1, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45702593.9 * -3\nAnswer: 137107781.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 140*z - 252. Let s be p(33). Solve 21*w - 19*w + s = -2*o, 0 = -3*w + o - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -198158, -198167, -198162, -198137, -198086, -198003, -197882?\n\"Answer: p**3 + p**2 - 19*p - 198141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1913704, 1913700, 1913692, 1913680, 1913664, 1913644, 1913620?\n\"Answer: -2*a**2 + 2*a + 1913704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136077 minus -3?\nAnswer: -136074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227466065 to the nearest integer?\nAnswer: 15082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 - 1184*m. Let u(b) = -11*b**2 - 1777*b. What is -8*g(i) + 5*u(i)?\nAnswer: i**2 + 587*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11486000 to the nearest one hundred thousand.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/5 + 1042*q**3 + 10426*q**2\/5 + 5214*q\/5 = 0?\nAnswer: -1, 0, 2607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -1870\/13509 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 328\/6781 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**3 + d**2 - 1. Let f be t(1). Let n be (-9)\/(-4) - 3\/12. Let q(a) = 0 + 3*a + 1 - 5. Let g(v) = -v**2 - 7*v + 9. What is f*q(u) + n*g(u)?\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-4*4\/(-16)). Suppose -5*g = d - 31, -5*g + s*g = 4*d - 169. Let b = d - 32. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 33*f**2 - 102*f + 72.\nAnswer: -3*(f - 6)*(f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 80?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-0.1.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*y**2 + 53*y**2 + 55*y**3 - 50*y**3 + 16 in the form p + v*y**3 + j*y + g*y**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -28\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(4 - (0 + 3 - 0)). Let c(l) = -5*l**2. Determine c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 2*d = 8, 147*y - d = 147*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 22 - 4 - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 6*d + 7. Let t(f) = -f**2 - 19 - 24 + 44 - 2*f. Let y(w) = j(w) - 3*t(w). Factor y(i).\nAnswer: -(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13494 and 1043536.\nAnswer: 3130608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*r**2 + 2683*r**2 - 838*r**2 - 1044*r**2.\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 135944?\nAnswer: -135946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/2*((-92)\/(-20) + -5). Solve 3*p + 10 = g*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64.15 - 0.15. Let o = -60.022 - 6.978. Let w = j + o. Which is the third biggest value? (a) w (b) -1\/14 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(22736\/(-441) + 50)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -57, -1, 1, -4, 13 in decreasing order.\nAnswer: 13, 1, -1, -4, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -977 - -980. Let x(a) be the first derivative of 3\/4*a**4 - 3 + 7\/4*a**j + 3\/4*a**2 - 3\/4*a. Factor x(t).\nAnswer: 3*(t + 1)**2*(4*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32492*q**2 - 39730?\nAnswer: -64984*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihybhhbihhbhhbohh. What is prob of picking 1 y, 2 b, and 1 h?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13016 - -13015.8. What is the biggest value in 2, 0.3, 2\/19, b, -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -56, -84?\n\"Answer: -28*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 863909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12967318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 40150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 247*o**2 - 2*o**3 - 123 + 246*o**2 - 491*o**2 in the form a + i*o + l*o**2 + m*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (3 - ((0 - -4) + -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 1. Let b = 181 - 173. Suppose -15*u + b = -11*u. Let q(o) = 3*o**3 - 5*o**3 - o**2 + 1 - 3. What is u*n(f) - q(f)?\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12478 is divided by 128.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 4. Let w be p(3). Suppose w*z + 1 = 3. Let b(k) be the third derivative of -7*k**4\/24 + k**3\/6 - k**2. Determine b(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2) + 1 + (-37996)\/5520. Let f = 19\/4 + n. Sort -7, 1\/4, f in increasing order.\nAnswer: -7, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -365d3 + -4?\nAnswer: -365d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 2, -77, 341, -2 in ascending order.\nAnswer: -77, -4, -2, 2, 5, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22331230102 (base 4) to base 11\nAnswer: 1693416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**4 - 6*v**2 + 6*v**2)*(-157 + 6*v + 7*v + 167).\nAnswer: 91*v**5 + 70*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13.5. Let i = 16\/45 + 2\/45. Put k, i, -4 in increasing order.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 7. Let i be y(5). Solve -4*k - 12 = -2*o, -5*o + i = 3*k - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32351*a**5 - 2*a**2*p**2 - 36*a*p + 1484*p**2 wrt a.\nAnswer: 647020*a**3 - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 1 - 13 - 9*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3539331 rounded to 3 decimal places?\nAnswer: 22.354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urrnlnnlllnlrulll. What is prob of picking 1 n and 2 r?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26 = 2*g + 2*x, 0 = -g - 5*x - 17. Solve g*q - 10*q = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = 163*z - 166*z. Let b be ((-1)\/(-2))\/(z\/512). Find v such that b*v + 20\/7*v**2 + 4\/7*v**3 - 32\/7 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134.51 + 134.94465. Round b to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 13*s**2 - 17*s - 59. Calculate the smallest common multiple of g(-3) and 128\/12 - (-6)\/(-9).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 838, 6746, 22768, 53962, 105386, 182098?\nAnswer: 289156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 5*c**2 + 39*c + 1651. Give h(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d - 3*x - 1211, 4*x - 715 = 3*d. Let s = 247 + d. Solve 4*j + 2 = 3*l, -2*j + 5*l = -0 - s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2082536 - 8828424. Is (m\/64)\/(-29) + (-2)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 26043?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36299 - 41794 = -2977*m - 18365 + 8743 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 5302, 2\/31.\nAnswer: -91, 2\/31, 5302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 7. Calculate c(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 4*h - 17. Let t(m) be the second derivative of -m**4\/6 - m**3\/2 - 9*m**2 - 671*m + 4. Calculate 3*a(j) - 4*t(j).\nAnswer: 2*j**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**3 + 2*q**2 - 4*q - 5. Let v be a(-1). Let o(r) = -r**3 - 4*r**2 + 5*r - 3. Determine o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2152604 divided by 1076302.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-4) - 4)*-2. Which is the nearest to 0? (a) u (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 + -109. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**19\/(w**(-1))**17*((w**1\/w)**(-12))**10 assuming w is positive.\nAnswer: w**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6 - 0. Differentiate -6*d**3 + 15 + 1180*d**2 - 1180*d**k wrt d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 11. Let o = -202 - -205. Suppose -7*r = -o*r + 56. Determine a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093\/151 > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9705, -9403, -9065, -8673, -8209?\n\"Answer: 3*k**3 + 281*k - 9989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m + 2*m + 4*m)*(7 + 21 - 7) in the form h*m + v and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-500))\/((-2)\/5)*-2*8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2533 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*g + 84560 = -319*g - 98*g - 907*g for g.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Calculate the remainder when 102 is divided by j(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, 4433, 4, 431, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*s + 78, s - 5*s - 5*w = -115. Let j = -12 + s. Let q(f) = 3*f**2 - 2*f + 3. Calculate the remainder when q(3) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5263065 is divided by 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let y(j) = -6*j**2 - 15. Determine r(y(h)).\nAnswer: 6*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 0.907?\nAnswer: -7.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 6) + 3 + -11 - (0 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (215*a**2 - 215*a**2 - 15*a**3)*(-43*a - 448*a + 92*a) as p + w*a**3 + t*a + b*a**4 + i*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*q + 21467, 8594 = 2*q + 3*j - 7*j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072178 is divided by 11053?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 + -1.19. Let b = y - -1.0619. What is b rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = -l, -3*i + i = 4*l - 20. Suppose 0 = -5*j + 15, i*j - 6 = 12*b - 9*b. Solve v = -u - 7, 2*u - 4*v = -0*u - b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74661, -298656, -671987, -1194660, -1866681, -2688056?\n\"Answer: -t**3 - 74662*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(56)\/sqrt(4)*-6)\/(sqrt(20)\/(sqrt(10)*-2)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 - 1070*i**2 + 2105*i + 3180 = 0.\nAnswer: -1, 3, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -260, -286, -322, -374, -448, -550?\n\"Answer: -t**3 + t**2 - 22*t - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3db9e (base 16) to base 3\nAnswer: 110211211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/46 + 6*v**3\/23 + 15*v**2\/23 - 50*v\/23 - 20. Solve q(m) = 0 for m.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-9*f + 8*f + 13*f) - 13*f + 25*f - 45*f.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*d + 18 = 5*h, 1 = -5*h + 2*d. Is 6 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 5, -2 in ascending order.\nAnswer: -10, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5588687 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**3*w**3 - 10604*u**3*w**2 - 3*u**3 - 4*u**2*w**2 - 2*u**2 + 9455*u*w**3 + 2*u*w**2 - 45*w**3 - 2 wrt w?\nAnswer: -6*u**3 + 56730*u - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3643831472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8 + 12, -w - 26 = -5*t. Let m be 128\/24 + 0 + w\/3. Solve 16 = -j - m*z, 3*j + 8 = 4*j - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -832545 divided by 1\nAnswer: -832545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-255 + 193 - 389)*(2 - 2 - x)*(x**3 - 3*x**3 + x**3 + (37*x + 5*x**3 - 37*x)*(-1 - 1 + 0)).\nAnswer: -4961*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 14*q**2 + 2. Let h be r(-7). Let w be (-33)\/(-110) + 1\/2. Suppose -2\/5 + w*y**3 + 8\/5*y - 2*y**h = 0. What is y?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(((sqrt(36)\/sqrt(3) - sqrt(12))\/sqrt(6) - (2 + 2 + sqrt(2))) + sqrt(18)\/(-2*sqrt(81))))**2.\nAnswer: 112*sqrt(2)\/3 + 647\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1395994390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -14, -17, -20, -23, -26?\n\"Answer: -3*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -4)*1\/(-2). Let p be (-5)\/o + (-1)\/(-2). Let k(m) = 4*m - 1. Calculate k(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8 + (-1414)\/(-28)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - (-191)\/2. Let h(n) = -5*n - 5. Let z be h(-2). Suppose 29 = 2*s + z. What is the highest common divisor of m and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 17, -23\/79, -2\/17, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000092461 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -219 + 221. Suppose b - 18 = -2*b. What is the least common multiple of b and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/8 in 2\/341, -1, 5, -168?\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 15\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/3 + 11\/33. What is the nearest to -2\/3 in o, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1698*b**3 - 2*b + 1. Let a be c(1). Let z = a - 983. What is the remainder when z\/10 - (-2)\/(-5) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -498, -998, -1498, -1998, -2498?\nAnswer: -2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6*j**2 + 9*j - 6. Let n be m(7). Suppose -g - n = -3*g. Suppose g = 2*v + 2. Solve 3*p + v - 7 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171042204 divided by 6?\nAnswer: 585521102\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 5*c + 30. Let n be 8*3\/(c\/1). Differentiate 3 + 2*f**n + 0*f**4 - 2 with respect to f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + 0.49. Let s = -3.82 - -3.04. Let f = s + k. What is f rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108925783*w**2 + 3621*w - 158.\nAnswer: 217851566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.763 minus -2098436169?\nAnswer: 2098436179.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10454*w - 61519*w + 17757*w.\nAnswer: -33308*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 135 = -5*k + 135, 4*r + k = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4250*s - 29781. Calculate j(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2))*z**(2\/7)*((((z*z\/z**(-2\/21))\/z)\/z)\/z)\/z**7)\/((z**4*z)\/z**1*(z\/(z**(-1\/3)*z))\/(z*z**(-2\/11)*z)) assuming z is positive.\nAnswer: z**(-1879\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -217\/694 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1632866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z - 168 - 172. Let q be z\/30 - (-12)\/45. Which is the third smallest value? (a) 0.4 (b) -4 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 - 24 + 24 + 14*h**3 - 78*h**2 + 78*h**2 + (-h**2 + h**2 - h**2)*(2*h - 4 + 4) - 4 - 2*h**3 + 4 in the form m*h + v*h**3 + k + f*h**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, p: 5, e: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -104, -170, -256, -368, -512, -694, -920?\n\"Answer: -v**3 - v**2 - 42*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 2.4, -5, 32?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -14\/53 (b) -2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 560*w**2 + 5*w - 572 wrt w?\nAnswer: 1120*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - (9 + 54)) + (2 - 28)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h + 197. Let w be c(0). Let l = w - 97. Suppose 4*z + 0*z = l. Solve -5*s + q = -3*q + z, 2*s - 23 = -5*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 43. What is the second smallest value in 2\/19, 2, t?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202 != 34\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86639382791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5740.9 - -5741. Which is the nearest to n? (a) 72 (b) -3 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343405489 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -139, 1\/16, 14, -43?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20803263, 20803264, 20803265, 20803266, 20803267?\n\"Answer: x + 20803262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -759.34959 to zero decimal places.\nAnswer: -759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -56, -87, -118, -149, -180?\n\"Answer: -31*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3647*h - 3647*h - 93*h**3 + 74*h**3.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 13*m - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*d*w**4 + 2*d*w**3 + 71*d*w + 17*d - 7*w**4 + w wrt w.\nAnswer: 1488*d*w**2 + 12*d*w - 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 437248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 17*t + 451. Let o be b(0). Let s(i) = i**3 - 6*i**2 + 8*i - 6. Let z be s(5). Suppose 0 = z*d - 4438 + o. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16541, 16499, 16429, 16331, 16205, 16051?\n\"Answer: -14*u**2 + 16555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 2.9, -2\/13, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 - -121. Suppose -g*p = -3*x - 9, 2*p + 4*x + 6 - 12 = 0. Solve 2*k - 26 = 4*y, p*y - 12 = 6*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.405545587 to three dps.\nAnswer: 0.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/9 (c) 2 (d) -1\/2 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*w + 3, 0 = h - 4*w - 0*w + 7. Calculate the remainder when 46 is divided by -1 - -17*(-3)\/h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2. Let t(c) = 106*c**3 + 13*c**2. Suppose 31 = 11*a + 42. Let x(i) = a*t(i) + 2*k(i). What is the third derivative of x(z) wrt z?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + -14 + 6 + 5 - (-21)\/3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21243024.2 rounded to the nearest 10000?\nAnswer: -21240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1393, -1392, -1391?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -6. Let z = i + 8. Suppose 4\/11*g + 2\/11*g**2 + z = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = -21. Suppose -2*m = -x - 25. Suppose i + 7 = m. Calculate the least common multiple of i and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**5\/60 + 17*u**4\/8 - 79*u**3\/6 + 76*u**2 - 2*u. What is the units digit of o(29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*w**5 + w**4 - 380*w**3 - 8*w**2 - 16859 wrt w?\nAnswer: -1980*w**2 + 24*w - 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -3*p**2 + 11*p - 6. Let w be 1\/((-28)\/9 - (-4 + 1)). What are the prime factors of v(w)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 9*o = 50. Solve 3*a + 5*p = -2*a - o, -15 = -a + 4*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10 - 3*y**3 + 5 + 4*y**3 + 12*y**2 - 14*y + 1. Let k be v(-13). Suppose 2*c - k = -5. Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - t - 2*t + 20 = 0, 5*s - t - 16 = 0. Suppose -3*l - l + 5*g = -837, 0 = s*l + 2*g - 802. Is l 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 9:14 PM and 7:42 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5643 + 5829. Sort -3, 2, l, -5 in descending order.\nAnswer: l, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -4*s - 396. Let f = s - 19. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d**2. Let c(q) = -57*q**2. Calculate i(c(a)).\nAnswer: -32490*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649 (base 16) to base 7.\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 1:06 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480 + 82 - g - 501 + 250.\nAnswer: -g - 649","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 - 18393*y\/4 + 363060.\nAnswer: 3*(y - 6051)*(y - 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o - 78 - 228 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1564 (base 7) to base 13.\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 2. Let c be y(-6). Let v be 72534\/c*(-12)\/(-18). Let f = -3037 + v. Calculate the common denominator of f and -93\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - 53?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*v + 18, v + i + 5 = 12. Solve 0 = -6*j + 5*j + v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(14\/5)*m**3)**(-25) assuming m is positive.\nAnswer: m**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = s - 11, 5*s + 7 = -g + 20. What is the units digit of -3*(83\/(-3) - s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6042 is divided by 69.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 727788 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200.9 - 222. Let n = 21 + x. Let z = 215\/4 + -54. What is the closest to z in 3\/4, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 + 134. Put -1, t, 5, 0 in ascending order.\nAnswer: t, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.159, -0.29, 4, -0.3 in decreasing order.\nAnswer: 4, -0.159, -0.29, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 11\/3 (b) 13 (c) -20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4393 + -4392. Which is the nearest to 0.2? (a) 4 (b) 0.12 (c) t (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c*z + 12717298*c + 1061043*z with respect to z.\nAnswer: -6*c + 1061043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29592601*g**3*j + g**2 - 8669185*j wrt g.\nAnswer: -177555606*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 15. Let b be u(-10). Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098504417 to 7 dps.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300587436, -300587437, -300587438, -300587439?\nAnswer: -300587440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 80247.7 nanograms?\nAnswer: 0.0000802477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -59, -80, -99, -116, -131, -144, -155?\n\"Answer: g**2 - 24*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025695?\nAnswer: 5, 7, 31, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-38) - 2)*(5 - (-225)\/(-3))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**5 + o**3 - o**2 + o. Let k(w) = -4*w**3 - 3*w**5 - 3*w + 4*w**2 - 2*w**3 - 3*w. Let q(h) = 6*a(h) + k(h). Find the third derivative of q(t) wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 85*q**2 + 716*q - 2592. Calculate h(-93).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 519956657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357967918?\nAnswer: 2, 3847, 176497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4240754337 - 4240754269.00000054. Let i = -8.6 - 59.4. Let j = p + i. What is j rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23741 - -894?\nAnswer: 24635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58485 and 818790?\nAnswer: 818790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 146571, 146338, 146105, 145872, 145639, 145406?\n\"Answer: -233*c + 146804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = 56*r + 938 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -54*v - 1476 + 243 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*k + 727*k + 7 = -4*l, 2 = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 252\/15)\/((-22)\/(-110)). Is 28330\/(i\/45 - (-2)\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4*(-5)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {y: 2, j: 1, x: 4, n: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*x**3 - 3*x - 123 wrt x?\nAnswer: -30*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2610 + 2710. Let a = -11 + 36. Calculate the highest common factor of p and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 w, and 1 q when four letters picked without replacement from {z: 3, q: 3, b: 2, s: 1, t: 3, w: 1}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -0.01, -22, 1, 1.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/134550 and 79\/1170.\nAnswer: 134550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*45\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-8 - -5)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4\/2 - 195*r**3\/2 + 531*r**2\/2 + 1659*r\/2 + 465 = 0.\nAnswer: -1, 5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 709198 > 708875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = -4. Let l = f + 7. Suppose 10 = -v + 3*j, -5*j = -l*v - 2 - 28. Sort -2, 1, v in descending order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 384*v**2. Let q(g) = 14. Let d(u) = -4*u + 336. Let j(z) = -d(z) + 24*q(z). Give l(j(o)).\nAnswer: 6144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*z + 43*m - 39*m, -2*z - 2*m + 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -291, -519, -853?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + 54. What is the greatest common factor of 1334 and d?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/25*(-15)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2001 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 631736 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -3*h**7\/70 - 5*h**3\/6 + 13*h**2\/2 - 15. Let f(z) be the second derivative of r(z). Find the first derivative of f(o) wrt o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -23.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + z**3 + 0*z**3)*(1 + z - 1) - 58*z**4 + 49*z**4 - 3 - 3 - 3*z**2 + 3*z**2 + 3*z**4 - 7 + 7 - 5*z**4 + (-2*z + 0*z + z)*(-5*z**2 + 5*z**2 - z**3).\nAnswer: -8*z**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2688) + sqrt(2688))\/(sqrt(384) + 2*sqrt(384) + sqrt(6)) + (3 + sqrt(252) + sqrt(7) - sqrt(7) - (sqrt(28)*3 + sqrt(7) + sqrt(7))))**2.\nAnswer: -12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 o when four letters picked without replacement from {o: 7, j: 5}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8*l. Suppose -2*i + 45 + 1 = l. Calculate the remainder when 45 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/7 - 177*c**3\/7 - 75*c**2 - 523*c\/7 - 174\/7 = 0. Calculate c.\nAnswer: -174, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 34 = -4. Suppose 0 = -4*w + 2*m + 60, 5*w - 10*w + h*m + 80 = 0. What is the remainder when 69 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3798*a**2. Let r(o) = 85340*o. What is r(t(k))?\nAnswer: 324121320*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 - 79 - 70 + 7*w**2 - 8*w + 136. Let g(j) = 2*j**3 - 4*j**2 + 4*j + 7. Let q(z) = 5*g(z) + 3*y(z). Give q(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 3*v**2 + 4*v**2)*(7 + 22 - 22*v + 116*v - 28).\nAnswer: 188*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-42)\/(-4)) - 270\/35. Let x(d) = -d**3 + 7*d**2 - 13*d - 10. What are the prime factors of x(h)?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2 (b) 142088 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 - 34*j + 4. Let f be n(-7). Which is the biggest value? (a) 15 (b) -6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8063242 and 13530?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = 0, 0 = -0*i - 3*i - 3*j + 27. Let c(n) = 6*n**2 - 6*n - 6 + 4*n**3 - 5*n**3 + 12. Let s be c(i). What is the closest to -1\/3 in s, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*b**3 + 15 - 302*b**3 - 15.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(-5*sqrt(325) + (sqrt(1872) - -1*sqrt(1872)))*-4)**2.\nAnswer: -20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 63.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 - (5 + -1)) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 2*sqrt(77) + sqrt(77))*3 + (sqrt(77) - ((sqrt(77) + -2*sqrt(77) - sqrt(77)) + sqrt(77))*-5))\/(5*5*sqrt(11)*1) + 3.\nAnswer: 8*sqrt(7)\/25 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -9, 12, 49?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5*c + 7)*(3*c**2 + 7*c**3 - 4*c**2 - 9*c**3).\nAnswer: 10*c**4 + 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 (base 5) in base 13?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.104341 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8854, -17717, -26582, -35449?\n\"Answer: -p**2 - 8860*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 848730100 to the nearest 100000.\nAnswer: 848700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140505 and 20729171.\nAnswer: 9367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(630\/504).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954403362 a multiple of 12263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m - 6. Let o be w(-4). Let v = -100 - -101. Solve v - o = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29769.\nAnswer: 3, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2*t**3\/3 + t**2 + 2. Suppose m(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 5*d. Let t be (d + 21)*(-2)\/(-8). Suppose j + 2*j + 4*n = -12, 4*j = -4*n - 12. Solve 0 = t*k - j - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7307788104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**6\/225 - 2*v**5\/75 + v**4\/30 + 11*v. Factor s(j).\nAnswer: 2*j**2*(j - 3)*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/(2\/(-20)). Which is the nearest to -1? (a) z (b) -1\/3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 54. Factor -3*g**5 - 15*g**4 + 16*g**4 + 8*g**j + 18*g**3 + g - 3 + 10*g**2.\nAnswer: -(g - 3)*(g + 1)**3*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7292133.230293 + 7292130. Let q = d + 3.23. Round q to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6 = -q, -u = -2*u - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = 20. Let i = g + -11. Solve -i = -4*m + 5*b - 2*b, 0 = 2*m + 5*b - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 44 = 286. Solve -25*a + z*a - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.087 + -11.087. Let k = -10 - q. Let h = 2 - 2. Which is the nearest to k? (a) h (b) -4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*q - 5*w, 4*q - 27 = w + 9. Calculate the smallest common multiple of q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 11*j - 2. Let t(r) = -2*r**2 - 6*r + 1. Let i(a) = -6*o(a) - 11*t(a). Calculate i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*129 - 57\/(-38). Suppose 4*h = i - 18 + f, -3*i = h + 1. Calculate the highest common factor of 99 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*i - 450, 256 = -5*t - 2*i + 802. What is the remainder when t is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + 4*l**2 - 5*l**2)*(28*l + 28*l - 20*l + 0*l + l + 0*l + (-4*l + 0*l + 3*l)*(-1 + 1 - 1)) to q*l + g + o*l**3 + j*l**2 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.241 and -0.1.\nAnswer: 2.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342\/13 - -6619\/260. What is the common denominator of 71\/28 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628916387.\nAnswer: 3, 7, 17, 4562791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:27 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 109. Is q a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-160)*(25\/(-12))\/(1290\/(-516)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.1 (c) 184 (d) -3\/4 (e) -91 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3585.76 times -0.2\nAnswer: -717.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 1. Let l(u) = -u + 1. Let x(p) = 4*i(p) + 3*l(p). Let m = -13 - -15. Determine x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/62568 and -25\/43608?\nAnswer: 1439064","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531940 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3142 - -5.3142. Which is the biggest value? (a) -4\/5 (b) m (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -58*d**3 - 302*d + 128. Find the first derivative of y(o) wrt o.\nAnswer: -348*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 156\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6095842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, l: 1, z: 2, g: 1, a: 4}. What is prob of picking 1 g and 3 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, c: 5, e: 1}. What is prob of sequence ccnc?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 11}. What is prob of picking 2 a?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -490 in descending order.\nAnswer: 0, -3, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l\/(l\/l**(-4))))*l*l\/(l**9*l*l)*l*l\/l**(-5)*l*l*l**(5\/6)*l)**(-5\/6))**(-19) assuming l is positive.\nAnswer: l**(-665\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -147*r**2 + r + 1. Let y be z(-1). Let v = y - -149. Solve 0 = -v*p - 1 + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - n = 4*y + 20, 2*n = -8. What is the smallest common multiple of 64 and y?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - -1e1?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83979*x**4 - 2*x**3 - 24*x + 226 wrt x.\nAnswer: 1007748*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-2))\/a*a)\/a*a*(((a\/(a\/(a\/a**(-8)*a)))\/a)\/a)\/a)**(6\/19)*(a\/a**(-2\/3)*a**(-5))**(1\/10) assuming a is positive.\nAnswer: a**(179\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -5*z**4\/8 + 1435*z**2 + 2*z + 1. Let s = 5 + -1. Let i(f) = 4*f - 3*f - s*f. Determine u(i(j)).\nAnswer: 45*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4732285325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30246151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1881 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b + 11. Give v(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4603580 divided by -53\nAnswer: 86860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -4*g + 5*q - 2, -5*g - 5*q - 10 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/90 + 0)\/(2\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:09 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(132\/208)*26\/((-5824)\/(-48))?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 768805*x**2 + 768800*x = 0. What is x?\nAnswer: -153760, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 720.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3*c - 3. Let i be p(4). Let n be (i\/(-10))\/((-52)\/(-16)). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-525)\/77) + (-2)\/5. Let h be 1\/1 - (-3)\/(-4). Which is the smallest value? (a) -3 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/4 - 14607555*z**3\/4 - 11854478847519*z**2\/2 - 3206755073039930097*z + 3206761000283005746 = 0.\nAnswer: -1623062, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 9*o**4.\nAnswer: -o**4*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49384368 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*u = -10*d + 215, 0 = 3*d - 2*u - 139. Let j(k) = -11*k + 27. Let m be j(2). Solve 9 = -4*v + m*a + 4, 4*v - d = -5*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(2\/3 + (-28)\/49). Solve -c*h + 5 = -16*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -1231*j**6\/60 - 366*j**3 - 1026*j**2. What is the first derivative of b(f) wrt f?\nAnswer: -7386*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1485.558 hours to microseconds.\nAnswer: 5348008800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4269112223?\nAnswer: 19, 223, 653, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/3792837 and -20\/8849953.\nAnswer: 26549859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 22*g + 354. Calculate q(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1210 + 1?\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 + 8 + 3*t**2 + 5*t - 3. Let n be g(7). Does 15 divide 36*(-1 - n\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110100111 - -244?\nAnswer: 110100410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19212 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*l = 87*l. Suppose -g - 4*i + 1021 = l, g + i - 1009 = 3*i. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100146203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 4\/2 + 2. Let n(v) be the third derivative of 7*v**5\/30 - 5*v**4\/24 + v**3 - 620*v**2. What is the units digit of n(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20978511661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247012053.\nAnswer: 3, 29, 71, 39989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5 - 14 = 5*l, 27 = 4*s - l for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -431*1.902\nAnswer: -819.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 18 = -3*k, 0 = -2*k + 2*f - 4. Is ((-57)\/2)\/(k\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4, 2\/5, 12, -1, -215064?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/12 - d**4\/6 - 6*d**2. What is the second derivative of y(m) wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2242*c**3 - 2624*c?\nAnswer: 13452*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 7:09 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(8)\/sqrt(2)) + 5*sqrt(108))\/(-2*sqrt(18)\/sqrt(3)*-6*5).\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l*l\/(l*l*l**(-1\/10)*l)*(l\/(l\/l**(-2\/23)))\/(l**(4\/7)*l))**(4\/11) assuming l is positive.\nAnswer: l**(11082\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 183314 - -430?\nAnswer: 183744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 9599 - 16525. Suppose 17*h - q = 3*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/((-5)\/9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**3 - 7*u**3 + 8*u**3.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 42. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 4 + 0*f + 2. Let d(s) be the third derivative of s**4\/12 + 5*s**3\/6 + 27*s**2. Calculate 2*d(l) + 5*q(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36084617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let d be -10 + 4 + m - -18. Solve f - 4*f - d = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 32 + 97. Let p(l) = -l**3 - 14*l**2 + 13*l + 35. Let n be p(-15). What is the greatest common divisor of n and w?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(832) - (sqrt(832)*-1)**2)*-6 - sqrt(832))*-5 + (-1*sqrt(65)*1)\/(sqrt(35)\/(sqrt(7)*-1) - sqrt(5))).\nAnswer: -99840 + 1122*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -22212651 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-16)*6\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0*t**5 + 0*t**6 + 0 - 5\/14*t**8 + 0*t**3 + 18*t - 3\/4*t**4 + 0*t**7 + 0*t**2. Find the third derivative of u(h) wrt h.\nAnswer: -2400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97*67\nAnswer: 6499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/7))**(2\/51))**15 assuming i is positive.\nAnswer: i**(10\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0. Which is smaller: 18 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 - 1304*s + 128. Give w(163).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 + -7 - (-1 + -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1256456581 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 0.01.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 54 = 48 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3672776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) -594 (b) -0.5 (c) -2 (d) -0.4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6326453733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125989723?\nAnswer: 101, 421, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 = -2*b, p + 0*b + 5*b - 25 = 0. Let h(l) = 7*l - 46. Let q be h(10). Suppose -q = p*s - 364. 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: What is -0.006178769 rounded to five dps?\nAnswer: -0.00618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5237*s**2 + 2103*s**2 - 726*s**2 - 199*s**2 + 1572*s**2)*(5*s**2 + s**2 - 4*s**2).\nAnswer: 15974*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u**3 + u**2 - 1. Let g be o(1). Suppose 4*a - 3*a = g. Suppose -4*j + a = -4. Let i(z) = -z**2 + 4*z - 3. Give i(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - c**2)*(-4*c**3 - 3*c**3 - c**3) + (-c**4 - 2*c**4 + 0*c**4)*(-2*c - 2*c + 3*c).\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-15)*x)\/x**(-2\/41) assuming x is positive.\nAnswer: x**(699\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1160 - 1155 + 27*u**2 - 8*u**2 + 2306 + u as h*u**2 + z + f*u and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 12*o = -27 - 36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*r - 70*r - 76*r - 78*r - 77*r + 378*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 65*t**2 - 577*t + 2. Calculate f(73).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-28) + 15\/28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/24 + 15*b**3\/2 + 312*b**2 + 3. Calculate l(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6145 = 2*i + 605. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 - -105. What is the second smallest value in -0.1, 1, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 24*b**2. Let g(c) = -362*c + 1. Give g(r(p)).\nAnswer: -8688*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaohd. Give prob of sequence ah.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 minus -12?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 134897360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42461.22 litres?\nAnswer: 42461220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 653 + -298. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/3)\/((-4295)\/(-29913816))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**2 - 23*r**2 - 153*r**2 - 167*r**2 - r + r**2 + r + (-2*r + 3*r - 3*r)*(2 - 2 + 2*r).\nAnswer: -354*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184 - -190. Suppose 0 = d*z + 40 - 70. Let i = -6 - -11. Calculate the highest common factor of z and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/14)\/((-4)\/(-196)). Let u = i + -47. Which is the second smallest value? (a) 0.2 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1591c55 + -5?\nAnswer: 1591c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzrzzzzzzzzzz. What is prob of sequence zzz?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 380 + -260. Suppose 122 = s - 3*p, -p - q = -0*s - s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 529*h - 2*h**3 + 523*h - h**4 - 1053*h + 3 to the form d*h**3 + y*h**4 + w + q*h**2 + n*h and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = 0, 5*z - 4*m + 290 = 67382. What are the prime factors of z?\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162 or -0.38?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**3 + 3*a**2 - 4*a - 4. Suppose 20*w + 102 = -14*w. Let y(g) = -g**3 + g**2 - g - 1. Calculate w*y(m) + h(m).\nAnswer: 9*m**3 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143677083*w**3 + 244254 wrt w?\nAnswer: 431031249*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 969 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 5, v: 2, m: 2, f: 4}. Give prob of sequence vdfd.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45739 + 10564. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.89 - 0.11. Let c = -4 + 2. Let b(v) = v - 5. Let q be b(5). Put c, z, q in increasing order.\nAnswer: z, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16468 is divided by 8046?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12407*t**5 + 315*t**4 - 2*t**2 + 36975358*t wrt t.\nAnswer: -744420*t**2 + 7560*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071498748 + 1.428?\nAnswer: -1071498746.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -96. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -16*l + 60. Let w(q) = 3*q**2 - 3*q - 3. Let x(g) = 7*g**2 - 5*g - 5. What is l*w(y) - 3*x(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v - 8 = 0. Suppose a - 2*j - 3*j = -8, v*a + 2*j + 10 = 0. Is 2 + (a + 25 - 0) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 40. Let i = 31 + p. Solve 0 = -2*y - c - 0*c - 6, -i*c = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102510 and 1700?\nAnswer: 1025100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 + -189. What is the second smallest value in -5, g, -2, -0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(3*sqrt(200)))\/(1*sqrt(1210)*4).\nAnswer: sqrt(3)\/660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/12*(-6)\/(-15)*6. What is the closest to 0 in m, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62093376263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -126. Calculate the greatest common factor of 16 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1245 + 102312?\nAnswer: 104001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8083 divided by -2025?\nAnswer: -8083\/2025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 11. Let j(y) = 2*y**2 + 4*y**2 + 4*y**2 - s*y**2 + 6 + 22*y. Is 13 a factor of j(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614705 divided by 245?\nAnswer: 2509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pigy when four letters picked without replacement from {l: 1, g: 1, y: 1, i: 1, p: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -645765 - -6069465. Round k to the nearest 10000.\nAnswer: 5420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 10*t - 595 = 0. Let k = 172 + t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -3\/98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 10*b**2 + 3*b - 1. Let d(q) = -q**3 + q**2 + q + 1. Let w(z) = -3*d(z) - r(z). Calculate w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*2\/4)\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**3 + 4*l**2 + 13*l - 13. Let x(u) = -5*u**3 + 2*u**2 + 6*u - 6. Calculate -6*j(g) + 13*x(g).\nAnswer: -5*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*n - 48 = -5*n + 14*n, -20 = 31*s - 2*n + 86 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -131, -143, -157?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 11*k + 16. Determine w(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22342.27822 take away -3870?\nAnswer: -18472.27822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 9*j**2 + 8*j - 2. Let i be r(-8). Let v be i\/(-6) + 10\/6. Suppose 3*z = -l + 40, v*z = -z + 15. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 18*c**5\/5 + 93*c**4\/8 + 7*c**3\/2 - 12*c**2 - 6*c + 2576. Determine y, given that s(y) = 0.\nAnswer: -2, -1, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 13 - 7 = 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(343)*-1 + (sqrt(343)*-2 + sqrt(343) - sqrt(343))*-4 - (-3*sqrt(63) + sqrt(252) + -1))**2.\nAnswer: 416*sqrt(7) + 18944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 not equal to -242028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8)*3*(-24)\/27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 30 = -k. Solve 2*v + 3*v = -k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 10 + 9 - (27 - 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 10*t + 10. Determine q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3047 + 3039.245. Let z = k - -7.7556699. What is z rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -3 - -1) + 7 + (17 - 32)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y**4 + 1\/2*y**3 + 1\/20*y**6 + 0*y**5 + 0*y + 0 - 5*y**2. What is the derivative of h(n) wrt n?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3513 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*((t*t**2)\/t)\/t))\/t**(-2\/3)*(t*t*t*t**(-2\/3)\/t*t)\/(t*(t\/t**(5\/2))\/t) assuming t is positive.\nAnswer: t**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxxzhxkzhxzxnh. What is prob of picking 2 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 551*u - 20358. What is j(37)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 0.5. Let g = 4944 + -4943. Which is the closest to -0.1? (a) -2\/5 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1810774*w**2 - 136977*w wrt w?\nAnswer: 3621548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8148?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 2714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 1)\/(9\/(-30)). Let q = -10 - -6. Put p, 0, q in increasing order.\nAnswer: q, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**3*y - 2*g**3 - 3*g**2*y + 34*g wrt y.\nAnswer: 10*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1032, -1039, -1046, -1053, -1060?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 3. Let j be g(-1). Suppose 2*l - 51 = -3*x, j*l + x = -5*l + 95. Calculate the remainder when 428\/8 + 1\/(-2) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 + 3.39. What is the nearest to -1\/3 in 1, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 40 = 60*c - 36. Solve -c*u + 0 = i - 10, 0 = -5*i - 4*u + 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.203999416 + -0.204. What is q rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -654.4 + 1051.08. Round a to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 2.3\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000843153 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6993 and 5404.\nAnswer: 5398596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(3 + 133) + (-1 - -5) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146149 (base 13) to base 2\nAnswer: 1111001110100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5052582197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/14*20*(-30)\/600.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.0086\nAnswer: -0.00344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - i - i. Let x be k(1). Suppose 4*b - 3 = -5*g + 6*b, -9 = -4*g - 5*b. Is g != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z + 2*z + 2*z)*(-6 + 2 + 1) - 4*z + 0*z + z + (-1 + 2 + 2)*(2*z + 0*z + 3*z) in the form k*z + o and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 984432103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvtvttttvt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*l + 6*w - 29, -5*l - w + 53 = 0. Let m be (-2 + -1)\/((-6)\/l). What is the derivative of 3 - m*z - 5 + 6 wrt z?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i - 44. Let q(u) = 48*u + 222. Let s(o) = -11*f(o) - 2*q(o). Calculate s(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 9) + 56 + -47?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 2, s: 1, n: 2, f: 1, j: 1}. What is prob of sequence nn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (16 - (3 + -3)) + -78\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*z = -119*z + 72*z + 2210 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 3062*g + 3062*g - 6127*g as t + b*g + w*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 - 74. Suppose y + 5*i - 46 = -0*y, -3*y = -i - d. Solve 3*b + 2*b - y = -p, 0 = -b + 5*p + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*g + 1625 = -16*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(-3*d + d - d) - 1 + 1 + d + (-2 + 0 + 1)*(0*d - 3*d + 2*d) + 16 - 16 - 7*d to b*d + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*g + 32 = 38, 2*g - 17 = -z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*y**2 + 206052*s**3*y + 2*s**2*y**2 - s**2*y - 34135*s**2 + 34*s*y wrt s?\nAnswer: -6*y**2 + 1236312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.4 + -85.59. Which is the second biggest value? (a) -4 (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -5967, -2\/13, 0.3, 0.5, 1?\nAnswer: -5967","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 1620711.\nAnswer: -4\/180079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, p: 3, z: 2}. What is prob of picking 1 z and 3 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 730\/9 + -81. Let r(o) be the first derivative of 1 - g*o**2 + 1\/6*o**4 + 0*o - 4\/27*o**3. Factor r(f).\nAnswer: 2*f*(f - 1)*(3*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41621.1 + -80.1259.\nAnswer: -41701.2259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3131*p**2 + 461*p + 9?\nAnswer: -6262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 12*o**2 - 2595*o + 12963. Give c(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9 - 11. Suppose -74 = q*z - 7*z. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*i - 114*i - 28 = 0. Let b(p) = -p**2 - 5*p + 5. Let j be b(-5). Find the first derivative of 2 - j - i*s + 2*s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -20. What is the biggest value in z, -2\/175, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine halves of a litre in millilitres?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 - 8*v**2 - 11*v + 1. Let w(n) = -n**3 + n**2 - n - 1. Let h(u) = -g(u) + 3*w(u). Calculate the lowest common multiple of 2 and h(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**2 + v**3 - 5*v**2 + 2*v + (-7*v**2 + 8 - 8)*(v + v + 2*v) to the form x*v + p*v**2 + o + a*v**3 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 34*o**2 - 8*o - 7. Let b be g(8). Is 14 a factor of (-2)\/12 - b\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(4\/(-15)*(-330)\/(-396)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -8*t + 6*t. What is the remainder when 17 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*h + h - 26, -4*s - 42 = -5*h. Let w(j) = j**3 + 7*j**2 - 10*j - 8. What is w(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5481631 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3721*u**3 - 184464*u**2 - 871155*u - 984150 = 0.\nAnswer: -135\/61, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrrrrqqkrrkq. What is prob of picking 2 q, 1 k, and 1 r?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 0.28133?\nAnswer: 0.48133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4090291 to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/6 + 30*d**2 - 129*d. Let r(l) = 3*l**2. What is r(q(m))?\nAnswer: 12*m**4 - 720*m**2 + 10800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:06 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/11 (b) 5 (c) -3\/1586\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 18. Let i = -3 - -20. Calculate the remainder when i is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1739*f**2 + 39*f - 393. Is a(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 + -277. What is the closest to 2\/5 in -1, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v - 4300. What is v rounded to the nearest 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 - 3*b**2 - 2*b + 2. Let u be 14 + 2*(-1 + 3). Let x be (1 - (-48)\/u)*-6. Let l(c) = 16*c**3 + 16*c**2 + 11*c - 11. What is x*j(s) - 4*l(s)?\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.405 + 3.595. Sort 3, m, -0.05 in increasing order.\nAnswer: -0.05, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z**3 + 21*z**2 + 18*z. Let d(o) = -o**4 - 16*o**3 - 25*o**2 - 18*o. Let v(t) = 3*d(t) + 2*k(t). Factor v(q).\nAnswer: -3*q*(q + 1)*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/666 and 97\/1550.\nAnswer: 516150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:30 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*d**3 + 37702*d - 18702*d - 18769*d as y*d + i*d**3 + b*d**2 + s and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/41 (b) 1\/5 (c) -190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*c = -4*w - 569*c - 64, -11*w = -6*c - 113 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*y**2 + 88*y - 12.\nAnswer: 4*(y + 1)*(25*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -l. Let q be (1 + 2\/(-5))*l. Suppose 89 + 39 = q*x + 4*h, -h = -2*x + 67. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/10)\/((-264)\/15 + 17). Let t = -0.05 + 0.45. Sort f, 2, 18, t in ascending order.\nAnswer: t, f, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-2)\/8 - -1). Suppose -34 - 20 = -5*v + b*i, 16 = 2*v + 4*i. Suppose -v = 2*h - 26. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 5*i**2 - i - 3. Calculate the remainder when 31 is divided by k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 189. Calculate r(18).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 2*d + d + 4*d - 2*d - d + (-2 - 2 + 3)*(-2*d + 3*d - 3*d) - 31*d - 10*d - 16*d + (-5 - 8 + 16)*(-4*d + d + d) in the form y + t*d and give t.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 40, 76, 124, 184?\n\"Answer: 6*z**2 + 6*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:17 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -28, 1\/4, 3, 4, -976.\nAnswer: -976, -28, -0.2, 1\/4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.999996636 - -36. What is t rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 + 20*g - 13. Let n(q) = -3*q**2 - 10*q + 6. Let k(d) = -3*a(d) - 7*n(d). Suppose r + 10 = 2. What is the hundreds digit of k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.93 - -0.17. Let w = z + -4. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 0 - (7 + 18 + (-80 - -40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k - 12 = 0. Factor 33*l**k - 15*l**2 + 35*l**3 - 63*l**3 - 5 + 15*l.\nAnswer: 5*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*750666.36.\nAnswer: -750666.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 - (0 + -9 - (-29 + 70))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24648 - 24452 = -14*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**3 - 3*r**2 + 151*r - 11353 wrt r.\nAnswer: -9*r**2 - 6*r + 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a + 3. Let c(h) = 22*h - 14. Let l(j) = -2*c(j) - 9*x(j). Suppose -3*q + 21 = -2*y + 3*y, -2*y = 2*q - 18. Suppose -q = 2*v + 2. Calculate l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 8. Calculate k(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + 2*p + 4. Let n be a(-3). Let b be n\/(-8) - (-3)\/12. What is the remainder when (6\/(-7))\/((-1)\/b) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0 (b) -1\/3 (c) 16 (d) 3 (e) 1.72 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 969, 4, 2 in descending order.\nAnswer: 969, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21551398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q + 8*q - 2*q**4 + (-q**3 + 3*q**3 + 0*q**3)*(0*q - 3*q + 2*q) + 253*q**4 - 100 - 3*q + 4*q + 97.\nAnswer: 249*q**4 + q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 3:56 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -109303?\nAnswer: -21860.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + 3 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 9*b - 15. Let v be s(-9). Let q = v + 43. Factor -180*c**2 + 35*c - 197*c - 60*c**3 - 54 - 16*c**4 - q*c**3.\nAnswer: -2*(c + 1)*(2*c + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:22 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-43)*y)**10)**19 assuming y is positive.\nAnswer: y**(-7600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 9. Let v be w(7). Let u = -71\/21 - -26\/7. Determine j so that 0*j + 1\/3 - u*j**v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.91148 millennia in decades?\nAnswer: 2491.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -674*p + 3101. Let d(q) = -31*q. What is w(d(x))?\nAnswer: 20894*x + 3101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*p + 12. Let w be p\/(-9) + 75\/27. Suppose 4 = -r - 0*r, 4*r = 3*g - 61. Solve -26 = a + w*a - 2*n, 3*n - g = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*v + 6, 0*u - 4*v = -5*u + 13. Let f = u - -2. What is the third derivative of -h**6 - f*h**6 + 5*h**2 - 7*h**2 wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 153*y**2 - 6*y - 2. Let a(m) = -153*m**2 + 5*m + 2. Calculate -4*a(t) - 3*n(t).\nAnswer: 153*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*m - 40, -q - 2*m - 22 = -6*q. Let a(y) = 2*y + 2*y + q - y - y**2 - 1. Let b be (-66)\/12 - (-6)\/4. Determine a(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.96*102.\nAnswer: 403.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1770\/(-1475))\/(((-90)\/(-75))\/(2*(-2)\/61))?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (8 - (67 - (-15 + 15))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5169 bigger than -5142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/106 and -37\/13356.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -137*h - 3422. Determine l(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3*(-657)\/13797.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208246 and 5898?\nAnswer: 614117454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7593.546um?\nAnswer: 0.000007593546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0246 and -0.8922.\nAnswer: -0.02194812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 2, n: 1}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/20 and -81\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221121101012 + 11?\nAnswer: -221121101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1248\/13248*46)\/(0 - (-1)\/5904) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 67071*i**2 + 64 + 33546*i**2 + 33526*i**2.\nAnswer: i**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29558.5 + 29559. Which is the closest to q? (a) 2\/57 (b) 5 (c) -5 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(950) + sqrt(950)*1)*-4 + sqrt(950)*-2*-1)\/((sqrt(98) + sqrt(98) + 2*(sqrt(98) + (sqrt(98)*3 - sqrt(98))))*-6).\nAnswer: 5*sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-21)*q*q**(-15)*q)\/(q**(-4\/5))**(-40) assuming q is positive.\nAnswer: q**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 14*x**2 + 3*x + 1. Let q(a) = 2*a**3 + 29*a**2 + 13*a - 16. Let y be q(-14). Calculate the remainder when m(y) is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*a*j**2*x + a*j**2 - 1068*a*j - a*x + 535*a - 18*x - 555 wrt j?\nAnswer: 144*a*j*x + 2*a*j - 1068*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**3 - x**2 + 2*x + 2. Let j = -2 - -6. Suppose -m + j*m + 6 = 0. Let n be p(m). Round n to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49143*w**3 + 4*w**2 - 2*w - 27 wrt w?\nAnswer: 294858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1110011?\nAnswer: -1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11600805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.00336 + 1.00336. Which is the closest to -16? (a) 4 (b) -1 (c) 2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124.87719 + 0.13881. Let f = a - 125. Round f to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**4\/4 - 2*s**3\/3 - s**2\/2 + 2*s + 2. Let a be u(-2). Let c be (-6)\/a*(-3)\/27. Sort -8, -1, c.\nAnswer: -8, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -484*w**2 - 7*w - 7. Let a(m) = 13*m**2 + m + 1. Let l(u) = -21*a(u) - 3*d(u). Let q(h) = h. Determine q(l(p)).\nAnswer: 1179*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -93*f - 7*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 2*n - 10 - 3*n**4 + 7 + 3*n**2 - 2*n**2 in the form g + p*n**3 + x*n**4 + r*n**2 + v*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 1)*(-4*v + 5*v - 4*v + (4 + 1 - 3)*(-4 + 4 - 4*v))*(-117*v + 109533 - 109533) in the form y*v**2 + u + k*v and give y.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340689, 340668, 340647?\nAnswer: 340626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 746 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 102 = -129. Let n = 2 + -4. Calculate the remainder when h is divided by (-19)\/(-4) + n\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.01 + 14. Let g = 528.49 - 528. Let o = g - x. Which is the third smallest value? (a) o (b) 7 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Let w(q) = -q - 2. Let a(n) = -n - 1. Let u(k) = -2*a(k) + 3*w(k). Let i be (0 + 1 + -10)*-1. Let t be u(i). Which is smaller: t or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -409*o**2 + 140 - 3*o**3 + 60*o + 63*o**2 + 8*o**3 + 163*o**2 + 108*o**2.\nAnswer: 5*(o - 14)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.7, 0.3, 0 in descending order.\nAnswer: 0.3, 0, -19.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002621 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 142, -1, 0 in descending order.\nAnswer: 142, 0, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2182, -2119, -1984, -1753, -1402?\n\"Answer: 4*z**3 + 12*z**2 - z - 2197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 11*f - 9 = 47 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 10*w + 6*w**2 - 7*w**2)*(-3 + 3 + 1).\nAnswer: -3*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896527801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*g + 231*g = 7*f + 10, -8 = 5*f - 4*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809679894.\nAnswer: 2, 11, 41, 2006297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77.8 - -129. Let l = u - 525.2. Let w = l + 473.9446. Round w to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(196))*6 - ((sqrt(5) - (sqrt(5) + sqrt(180)\/sqrt(4))) + sqrt(20)*-6)**2.\nAnswer: -1125 + 6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1265232 - -4164?\nAnswer: -1261035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 48 = -32. Let x = 34 - z. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 706304448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.062 + 1.1. Let u = -0.358 + 0.32. Let m = u + g. Sort -3, m, 2.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132367 + 132370. Let y = -2 + 2.5. Which is the biggest value? (a) k (b) -3\/4 (c) y (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -170, 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 z when three letters picked without replacement from vmivzzmoiazziavvmvvz.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109828229 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 439559719 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 4*l**2 + 25*l + 11. Let d be m(-10). Suppose 0 = 4*q + 2*f + 284, -6*q = -q + f + d. Let t = 133 + q. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**15\/(u**(-2\/7)\/((u**(-1\/5)*u)\/u))*u**(-1)*(u*(u*u\/u**(-4))\/u)\/u*((((u*u\/u**1)\/u)\/u)\/u)**(-12\/13) assuming u is positive.\nAnswer: u**(-4126\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165843876.\nAnswer: 2, 3, 11, 1256393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + (-90)\/20)*(-1 - 1). Let q(r) = -3*r**2 - 1. Suppose -4*h = o + 19, 21 = -o - 3*o - 5*h. Let c(m) = -o + 0 + 0. Give f*c(k) - q(k).\nAnswer: 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/5 of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1521389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101219 and 3345806?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 20*q**3 + 10*q + 10. Suppose 0 = 3*j - 2*m + 1, 35*m - 14 = -3*j + 34*m. Suppose -j = -7*y + 4. Let i(o) = -o**3 - o - 1. Calculate y*l(b) + 10*i(b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/10 (b) 2 (c) -0.5 (d) -72\/41 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -12*m + 6*m. Solve 2*a + 54 - 46 = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11388 divided by 26.\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (3 - -5) - 36. What is the closest to -1\/4 in d, 3, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 127?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 12*o. Let c be v(12). Suppose z - 2 + 8 = c. Let j(u) = -u**3 - 4*u**2 + 6*u - 2. Is 34 a factor of j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-30)*-6 - (-6)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/168 and -53\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 5092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/26 + 205136\/26. Is (f\/(-45))\/((-2)\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + 4.95. Let o = 6.6 + -6. Let m = -0.8 + o. What is the smallest value in 0.2, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 262*x**2 + 205*x**2 - 462*x**2. Let h(y) = -5*y - 2. Let i(u) = -66*u - 27. Let v(m) = 27*h(m) - 2*i(m). Calculate n(v(o)).\nAnswer: 45*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 799 - 579. Solve -1 = -z*g + 219*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1632, 1906, 2178, 2448, 2716?\n\"Answer: -r**2 + 277*r + 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -4.7. Let r = 5\/44 - -161\/132. Which is the third smallest value? (a) r (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 1127*g + 19 + 1708*g + 2590 + 231.\nAnswer: -5*(g - 568)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 20. Let f be ((-1)\/3)\/(x\/(-45)). Which is bigger: -4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 169. Let j be i(-33). Let p be (-21)\/(7 - j) + 14. Solve -p*g + 5 - 12 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 6 (c) -1\/4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c - 6. Let a(u) = u + 1. What is 10*a(t) + 2*n(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.053 - -5.947. Which is the nearest to 0.1? (a) -2\/19 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 13*y - 15. Let r(w) = -w. Let b(i) = g(i) + 6*r(i). Let m be b(-16). What is the highest common divisor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.56 + 0.27. Let f = 0.8300008 - d. Round f to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.188 and 0.4?\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26262 and 76806?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1923.01986 + -1923. What is v rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 72 = -4*u, -102194*u + 102193*u + 7 = 5*m for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-6) + (-11)\/(-2). Suppose 6*b - 18 = 3*b. Suppose 2*v - b*v = -x*p + 32, 5*p - 92 = -2*v. Calculate the remainder when 69 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 19\/4, -2\/5, -3, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 12*y + 804 = 790, 0 = -2*n - 5*y + 14 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663 - 1318474038.\nAnswer: -1318473375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.18409kg in grams?\nAnswer: 4184.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:44 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2387 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 1 = 4*o, -53*a - 4*o = -62*a - 35 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24582, 19440, 14302, 9162, 4014, -1148?\nAnswer: -6330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k - 13. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/69)\/((-8)\/(-42))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7716520 is divided by 65393.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.026.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.18098898 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838000 divided by -5676?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 816235250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -259, -395, -535, -679, -827?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4887300 and 36300?\nAnswer: 53760300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -217, -175.\nAnswer: -217, -175, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjlallazljajflj. Give prob of sequence jj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/456 and -11\/8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3488381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242 = -34*y - 12*y. Solve -5 = 16*t + y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.327, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7534*m + 2*m**3 - 7534*m - 619 - m**2)*(-2*m - m + m) to the form b*m**4 + c*m**3 + u*m**2 + k*m + x and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -478, -753, -1066, -1429, -1854, -2353?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/56*24\/(-63)*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j**3 - 17*j - 4. Let a(o) = -3*o**3 + 4*o + 1. Let r(x) = 9*a(x) + 2*g(x). Let m(h) = 3*h**3 - 5*h - 2. Determine -4*m(l) - 9*r(l).\nAnswer: -3*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -75. Solve 5*t = a - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1736608*i - 1736580*i - 410 - 10 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m + 1. Let a be k(2). Let s be -2 + 2 + -1 + a. Suppose -5*y - s*n = -7*n - 45, 4 = y - 2*n. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from qwjjwjlljlwfvfv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -361, -3252, -8269, -15406, -24657?\n\"Answer: w**3 - 1069*w**2 + 309*w + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 2)*(-1451*t**2 + 515*t**2 + 725*t**2) to j*t**2 + a*t + k and give j.\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 7\/(28\/32). Suppose -10 = -i*p + 32. What is the greatest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11046, -10966, -10888, -10818, -10762, -10726, -10716?\n\"Answer: -x**3 + 5*x**2 + 72*x - 11122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 1278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -118, -164, -192, -196, -170, -108?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -15. Let y be 2 - (s + 2 + -1). Suppose 2*z = -5*i + 2, i - y*z = 33 - 11. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -763, -766, -769, -772, -775?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-28)*(-1400)\/2200?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2133 and 329071656.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(252))*-2)**2*-5.\nAnswer: -5220 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94469046283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6165 - 4126. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 531*l**3 - 4*l**2 + 526. Let x(j) = 1064*j**3 - 9*j**2 + 1051. Let q(w) = 9*k(w) - 4*x(w). What is the derivative of q(b) wrt b?\nAnswer: 1569*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456200 at least as big as 456198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269522447*z**3 + 36745833*z**2 wrt z?\nAnswer: 1617134682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*l - 2*l. Let r = l - -9. Suppose -3*d + 4*a - 11 = -32, -2*d + 4*a + r = 0. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + 9 + -3 + (14 - 23)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 + 10. What is the least common multiple of f(0) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/30)\/((126\/10)\/7)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*u + 19, 20*u = -5*t + 17*u - 39. Let o(r) = r**3 + 11*r**2 + 19*r + 15. What is o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/3 + 2*w**3\/3 + 7*w**2\/3 - 8*w\/3 - 4 = 0?\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9978729, 19957430, 29936131, 39914832, 49893533, 59872234?\n\"Answer: 9978701*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 2*s + 1. Let n be l(-1). Let i be n\/2*(0 + 1). Let m(w) = -3 + 1 - 1 + 2*w**2 - 3*w**i. Give m(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*t + 1)*(t - 4*t + 7*t)*(-2*t + 2*t + 2*t)*(-6*t + 21*t + 9*t) to the form j*t**2 + s*t**3 + f*t**4 + h + x*t and give f.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.96 - -630.96. Let v = -624 + p. What is the nearest to 2 in 0, v, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(-33)\/((u*(u\/u**(-1\/2))\/u)\/(u\/(((u*u*(u\/(u*u*u**(-4)*u*u))\/u)\/u)\/u))) assuming u is positive.\nAnswer: u**(-139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 3*k - 1. Let f(z) = -10*z**2 + 6*z + 2. Give 2*f(p) + 5*h(p).\nAnswer: 5*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 2242*y - 2238*y + 60, -3*d - 68 = -4*y for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 54*d**2 - 1487*d - 39120. What is o(-41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 + 0*i**3 + 0*i**3)*(-i + 0*i + 6*i) + 6*i**4 + 4*i**4 - 3*i**4 as w + p*i**4 + u*i + m*i**2 + a*i**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2717930.\nAnswer: 2, 5, 191, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:40 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x + 190. Let k(l) = -7*l + 188. Calculate 4*i(u) - 3*k(u).\nAnswer: -3*u + 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-714)\/85)\/21)\/(-8*4\/5).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 + 10 = 0. Let x(h) = h**2 + 9*h - 1 - v*h + 4. What are the prime factors of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 3*x + 18 - 18 - 20*x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*k**2 - 286 + 2*k**3 - 26*k**2 - k**2 + 71*k**2 + 3*k in the form b + f*k + w*k**2 + q*k**3 and give b.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-504)\/(-540)*(7\/35 - (-52)\/40)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**3\/6 + 3*z**2\/2 + 2*z. Let g be p(-5). Factor -4*r + 0*r**5 - 8*r**4 + 4*r**5 + 16*r**2 - g*r**2.\nAnswer: 4*r*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 66 = 30*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 6\/(-2) - 8. Does 7 divide (36 - -6)\/(a\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 156644 and 863898718?\nAnswer: 863742074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**5 - 20*x**4 + 50*x**2 + 5*x - 30 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 19.\nAnswer: -5, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -21, -3\/8, 0.02 in descending order.\nAnswer: 3, 0.2, 0.02, -3\/8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(242)*1 + sqrt(242))*1 + (0 + sqrt(242) + sqrt(242) + 4)*5.\nAnswer: 20 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b - 483 = 98*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + w**2 + 3*w**2 + (0 + 0 + w)*(-6 + 2 + 2)*(-2*w - w + 5*w) - 3*w**2 + 55 - 55.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -5, 0.03, -2\/15, 5, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3704*i**3 + 15*i**2 - 5*i. Let v(q) = -1852*q**3 - 6*q**2 + 2*q. Calculate -5*v(f) - 2*x(f).\nAnswer: 1852*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 65363.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -21f?\nAnswer: -21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 38.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + b - 2 + (0 + 2*b + 0)*(-1 + 4 - 2) + 7 - 7 - 3*b - 2*b + 5*b + 3*b + (1 + 1 - 1)*(-2*b + 2*b - 2*b) - 2*b + 3 - 3 in the form g + r*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 12*s - 18. Let p be n(5). Let z be -51100004 + 3*p\/(-21). What is z rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -1. Let z = 1075\/2 - 512. Let s = z - 25. Which is the nearest to 0? (a) s (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000100011110010001110 (base 2) to base 5.\nAnswer: -3122004110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**2 - 8*r**2 + 5*r**2 + 5.\nAnswer: 21*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86863900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*v = 8, 5*n + v - 12 = 4*v. Suppose n = -4*q + 83 + 5. Suppose -q = -6*x + 26. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253764 = -3209*o - 1668*o - 1165*o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let u(j) be the second derivative of -13*j**4\/4 - j**3\/3 - 220*j. Calculate s(u(n)).\nAnswer: 117*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*r - 1536 = 0, 3*z - 3*r - 576 - 948 = 0. Round z to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/(r*r**41))\/r)))**(-3\/31) assuming r is positive.\nAnswer: r**(126\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 2*y**2 + 0*y - 10*y**3 - y. What are the prime factors of b(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = -3, 0 = -r - 3*q + 21. What is the remainder when 57 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 5*k + (2*k - 2 + 2)*(-1 - 3 + 5))*(0*k - k + 2*k) + (-3 + 4 + 0)*(-4*k**2 + 3*k**2 + 3*k**2) + k - k + 2*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**2\/2 + 3. Let v(z) = -5*z. Let m(o) = -6*t(o) + v(o). Let i(l) = -l**2. Determine m(i(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12031, -12276, -12687, -13264, -14007?\nAnswer: -14916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((-2 + sqrt(468) + 3 - -2*sqrt(468)*1)*-3 + 3))**2.\nAnswer: 21835008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*k + 12*k + 8*k - 29*k + 6 in the form s*k + p and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 428799.08070488 - 428977.0807. Let n = -178 - q. Round n to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 + 4*x**2 - 3*x. Let m(h) = -5*h**2 + 59*h + 80. Let g be m(13). Let w(a) = -26*a**3 + 21*a**2 - 16*a. Calculate g*w(o) - 11*i(o).\nAnswer: 3*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65536 is divided by 1362.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 45. Suppose -72*o + 382 = -1850. Suppose o*k = v*k - 70. What is the greatest common divisor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*b = 3*h + 35, 3*h = 3*b - 51. Let j = 1708 + -1714. Let k be ((-160)\/h)\/(-4)*j. Solve 0 = -3*s - s - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4576911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/10 + 28*z**2 - 4. Let j(a) = 2*a**2 - 26. What is b(j(g))?\nAnswer: -24*g**4 + 624*g**2 - 4056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3581 - -4148. Calculate the remainder when v is divided by 205.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 4) to base 2\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.897 - 0.455. Let m = 0.592 - w. Round m to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 3*x**3 + 0*x**3)*(-4 + 4 + 2*x + (6*x - 3*x - 2*x)*(2 + 0 - 4) - x + 0*x + 0*x + 0*x - 2*x + 4*x)*(-5*x + 8 - 8).\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25661408 divided by -78236\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/140)\/(3\/(-72)*6))\/((-5)\/5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = 2. Suppose 0*y + 4*y + u*w - 36 = 0, 40 = 4*y + 3*w. What is the remainder when 49 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*n - 46*n - 58*n - 50*n - 20*n**3 + 235*n.\nAnswer: -20*n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 16) + 49 + 7 + 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p - 7 + 7 + (4*p + p - 4*p)*(1 - 2 + 6 + (0 + 0 + 1)*(2 + 2 - 3)) in the form f + s*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 - 5*u**5 - 4*u - 2*u**5 wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -30494, 49, -5 in decreasing order.\nAnswer: 49, 0, -5, -30494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2666 and 1290?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 472141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - -5 - 99\/(-11). Solve -5*g = 5*t, -l - 12 = 5*g + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -330. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1139.108 rounded to the nearest integer?\nAnswer: -1139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011100 (base 3) to base 7.\nAnswer: -11562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**2 - 8*c - 31. Give v(-3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -23\/4*d**4 + 0*d**2 + 0*d**5 + 0*d**3 + 173*d + 0 + 17\/30*d**6. What is the third derivative of f(j) wrt j?\nAnswer: 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)*(-3)\/(-2). Let h be (-2)\/(i + 2) - 10. Let f = h - -27. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 29*w - 89. What is d(-18)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + u - 5*u - 14, 2*u + 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/3, 0.3, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26385 and 3.\nAnswer: 26385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 10. What is f(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 1)*(67*s - 67*s + 10*s**2) to i + l*s**2 + p*s and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*t + 2*t + 57*t - 9*t - 4*t - 6*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5735 or -682492\/119?\nAnswer: -5735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/((-57)\/6) + (14 - -2976). Solve -n*m = -3003*m + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/(-6)*(20\/3)\/5. Suppose 2 = -3*j + 8. Calculate the greatest common factor of p and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -14 - 42) + -16.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -x + 7633, 936*x - 7649 = 935*x - p. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let w(b) = -b**2 + b - 1. Let z(m) = -4*m**2 + 3*m - 3. Let h(t) = -6*w(t) + 2*z(t). What is l(h(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*c + 1869, 4*v + 902 = 4*c - 6*c. Let k = -421 - c. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -142, -4, -6.7, 1, -122?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 10*p**2 + 11*p. Let w be k(-11). Let c = -130 + 45. Let y = -89 - c. Sort -10, w, y in descending order.\nAnswer: w, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 16) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*v**3 + 18*v**3 - 13*v**3 + (2*v**2 + 3*v**2 - 7*v**2)*(-v + 3*v - v) - 18 - 11*v**3 + 18 as u*v**2 + z + d*v + b*v**3 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/4 - 1\/(-4). Let g = f - -13. Let y(u) = u - 2. Let k be y(g). Let m(l) = -l**2 + 5*l - 7. What is m(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*n + 21 = 0, 3*h + 4*n + 3 - 2 = 0. Suppose 4*j - 49 = h*q, 3*q - 4*q = -3*j + 12. Put -5, 0.5, q in ascending order.\nAnswer: q, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/12)\/(1\/(-2)). Let b(t) = 2*t - 2. Let n be b(2). Let h be 1 - 1\/(n\/(-4)). Solve 5*s - 13 = h*p + 6*s, 3 = -o*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-144)\/(-8)*5\/(-1*12\/66). What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(-2 + 2 + 1) + (1 + 2 - 5)*(0 + 2 - 3) + 4 + 3 - 6)*(4*a - 87 + 87).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*(j\/(j*(j*(j\/(j\/((j*j*j**22*j)\/j)))\/j)\/j))\/j)**(-4\/9) assuming j is positive.\nAnswer: j**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + z**5 + 5*z**2)*(-22 - 14 + 8)*(-5 + 3 + 8).\nAnswer: -168*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 + 590060*l - 590056 = 0.\nAnswer: 1, 147514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 2*p**2 + 4*p + 5. Let s(h) be the first derivative of 136 + 14*h + 5\/3*h**3 - 1\/2*h**4 + 11\/2*h**2. Calculate 11*q(l) - 4*s(l).\nAnswer: -3*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 k when four letters picked without replacement from {e: 4, k: 6, f: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2682017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**3\/3 + 9*t**2\/2 - 2*t + 25. Let g be c(4). Suppose 3*v + g = 39. Solve -5*z = -25, a + 5*z - 37 + v = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -213*n + 38. Let z(y) = -71*y + 13. Let u(f) = 6*i(f) - 17*z(f). Let g be u(5). Does 37 divide (g\/(-15) - 1)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f**2 + 3*f - 1. Determine c(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5776752l to millilitres.\nAnswer: 577.6752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100011 + 2?\nAnswer: 1100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 0.5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.561 centuries to years.\nAnswer: 2756.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8546496 divided by -712208\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22751342, -45502676, -68254010?\n\"Answer: -22751334*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 12 + 8*a**2 + 19 - 2*a**2.\nAnswer: 5*a**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2606921 and 948?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)*n*n)**(1\/2))**(-7\/9) assuming n is positive.\nAnswer: n**(-35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:53 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*a - 25, -a + 5 - 10 = -n. Let d(v) = v**2 + 13. Suppose -29 = -y + 8. Calculate the remainder when y is divided by d(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36a7931 (base 12) in base 10?\nAnswer: -10671733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 8.109.\nAnswer: 7.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 174 + 201. Suppose 0*c + 3*j + 12 = -2*c, -5*c + 4 = -j. Suppose 7*b - 147 - 63 = c. Calculate the highest common factor of b and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -65, 1, -59 in increasing order.\nAnswer: -65, -59, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - 9\/(-6). Is j + 246 - (0 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8985502 and 52670?\nAnswer: 44927510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22900, 23196, 23492, 23788, 24084, 24380?\n\"Answer: 296*r + 22604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 + 57 + 167 - 174.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10633709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6213346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 266688, 533442, 800196, 1066950?\n\"Answer: 266754*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 757, 0.5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6650 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-10) - 32\/80 - (-50 + 6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-3))\/(60\/(-216)). Solve -2 = 2*b - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212616 is divided by 66?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1148 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 155154?\nAnswer: 775770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 3*z**2)*(-2*z**2 + 2*z**2 + 2*z**2) + (-30 + 75 - 26)*(1 + 2*z**4 - 1) + (3*z**3 + 0*z**3 - 2*z**3)*(4*z - 3*z - 2*z).\nAnswer: 43*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/((-1)\/(-5)). Let u = -9 - q. Sort -2, 0, u in increasing order.\nAnswer: u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -455, -1569, -3419, -5999, -9303?\n\"Answer: l**3 - 374*l**2 + l - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-5967)\/81))\/(61\/11895).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c + 2. Let s be g(2). Suppose -4*u = -3*u - 3. Suppose s = u*r + 2*r - 50. Solve -2*h = p + h + r, -3*h - 25 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -45 + 9 + 3 + (-2 - -14)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 15*m + 3*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-7)\/(-14))*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*j - 17759 = j, 4*j - 22225 = -5*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 1970*w - 1963*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10070 is divided by 10036.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16153620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**24*m\/m**18*m**(1\/12)*m assuming m is positive.\nAnswer: m**(-263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1156244 - 4?\nAnswer: 1156240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - 194*d**2 - 1019*d - 74. Give n(102).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1774*w**6 - w**4 - 245656*w**2 wrt w.\nAnswer: -212880*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 9 + 23)*(-44 + 27 + 22)*(-2*q - 2*q - q).\nAnswer: -900*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 552?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1503 times -5?\nAnswer: 70.7515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15341 (base 6) to base 3\nAnswer: -10102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose b + 7 = -y. Let t = -6 - b. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 26*j**2 - 42*j - 14. Let h(x) = 5*x**2 - 9*x - 3. Let d(s) = 14*h(s) - 3*k(s). Let w(i) = 7*i**2. Give w(d(t)).\nAnswer: 448*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705663729 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*-0.31968.\nAnswer: 43.1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -629112 divided by 78639\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3.00000051. What is c rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-111)*3\/4*4)\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-18) - 110\/(-12). Let m = -7 + a. Let o = -3 - -17. What is the greatest common factor of o and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27291, 27281, 27265, 27243, 27215, 27181, 27141?\n\"Answer: -3*w**2 - w + 27295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**4 - 94731*c + 1979106 wrt c?\nAnswer: 16*c**3 - 94731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233211797.\nAnswer: 7, 13, 17, 233, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1649093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {p: 4, a: 5, z: 10}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-35)\/22 - (-5 + 5) and -79\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211198423 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -147 (c) -15\/36322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 5*n = 10*t + 1102, -t = -n - 544. Calculate the highest common divisor of 336 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 20, 77, 178, 335, 560, 865?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 10 = -a, 5*d + 12 = -0*d - 3*a. Let b = d + 6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-2))\/(((-15)\/6)\/5). Solve 5*p + t = -11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -3*k - 10*k. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) - 48\/70 - (-13021973)\/95 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 7. Let l(q) = -q. Let c be l(-2). Suppose c*x + 152 = 6*x. What is the remainder when x is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1, -3*x - 3*h - 4 = -22. Suppose 28 = p - x*f, -6 + 38 = 4*p - 4*f. Which is smaller: -41 or p?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83\/3 + -28. Let l(z) = -z**3 + 15*z**2 - 37*z + 13. Let y be l(12). What is the nearest to y in 3, s, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 163 = -4*q - 0*q, 0 = -2*x - q + 60. Suppose 57 - 20 = 3*r - 4*o, -2*o + x = 3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) 1\/3 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/25)\/((-6)\/15375)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 28*m - 26.\nAnswer: -2*(m - 13)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -429541, -429553, -429565, -429577, -429589?\n\"Answer: -12*m - 429529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26400489 + 1299511. What is t rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 43 - 100*v - 57 + 4.\nAnswer: -4*(v + 1)*(v + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65.2 + 45.5. Let u = 20 + n. Which is the closest to 0.1? (a) 3 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*12\/126*(-3)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38, -55, -44, 7, 110, 277, 520, 851?\n\"Answer: 2*u**3 + 2*u**2 - 37*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110977.\nAnswer: 110977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*y - 7 - 4 = 0, -r = 3*y - 21. Let k = r - 7. Suppose -4 - k = -c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210745459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -670*-48.94\nAnswer: 32789.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and (-422)\/(-10) + 9\/(-45)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -724? (a) -1311 (b) -3 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from rgrgg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2444 - -2449. Solve 35 = -3*k + f*y, -k + 3*y + 8 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143537357.\nAnswer: 143537357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**2 + o - 2. What is h(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-904)\/(-10)*(-18)\/24. Let z = 68 + l. Factor -z*k**2 + 0*k + 0 + 1\/5*k**3.\nAnswer: k**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25569 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: Collect the terms in -15 - 20 + 36 - 448*b + 80*b + 2*b**2.\nAnswer: 2*b**2 - 368*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1223616995 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 2*c**2 - 6*c + 2. Let f be h(4). Suppose -5*m + 251 = 81. Calculate the remainder when m is divided by f\/(-8)*(-8)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -2*f - 8. Let y = 905 - f. Suppose 0 = -6*b + 335 + y. What are the prime factors of b?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 8 = -9*c. Let h(j) be the first derivative of 0*j + 0*j**5 - 1\/2*j**c - 2 + 0*j**3 + 1\/6*j**6 + 1\/2*j**2. Factor h(g).\nAnswer: g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823530?\nAnswer: 2, 3, 5, 97, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31\/5 of a millennium?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 18 + 5*l - 22.\nAnswer: 5*l - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353787.3 years in millennia?\nAnswer: 353.7873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001561 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + 3\/(-9). Let n(x) = -2*x + 42. Let b be n(d). Let r = b - 26. What is the remainder when r is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 - (-10 + 14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from {o: 3, l: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -625*l**4\/2 + l**3\/6 - 2*l**2 - 3*l. Let j be p(4). What is j rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**3 - 224*n**2 - 279?\nAnswer: 6*n**2 - 448*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130995634?\nAnswer: 2, 7, 11, 691, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -7*q**3\/3 + 2*q**2 - 21*q + 49. What is the first derivative of n(v) wrt v?\nAnswer: -14*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*y**3 - 9*k*y**2 - 3*k - 8*y**3 - y**2 + 327*y wrt y?\nAnswer: 12*k*y - 18*k - 48*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 254509 and -76495250.\nAnswer: -76240741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*f - 2 + 3, -4*g - 18 = 3*f. Sort -2\/15, 4, f, 0.4 in decreasing order.\nAnswer: 4, 0.4, -2\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -4.148?\nAnswer: -4.148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1625 and 1\/2275.\nAnswer: 11375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*n - 64 - 7*n**2 - 4*n + 5*n**2 - 16*n as g*n**2 + x + f*n and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*l*p + 11358531*g*l + 3*g - 42332919*l*p with respect to g.\nAnswer: -2*l*p + 11358531*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 8*l + 5. Is h(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -61, -168, -381, -736, -1269, -2016?\nAnswer: -3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2322 + 1203?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*p + 11. Let t be 4 + 1 + -7 + p. Suppose o = -2*z + 25, 3*o = z - t + 1. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001210012 - 11?\nAnswer: 11001210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 38, 76, 134, 218, 334, 488?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 9 + 15. Is 9*(2 - 56\/z) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5502 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w, -3*z + 2*z - 3*w + 10 = 0. What is the common denominator of 33\/8 and -5 + z + (-14)\/(-32)*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/3 - 832232*m\/3 - 1664480\/3.\nAnswer: 4*(m - 208060)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 - 211*a - 5044. Calculate x(45).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 201*a - 745*a - 924*a - 1470*a - 74*a + (-2*a + 2*a + 2*a)*(-1 + 0 - 1).\nAnswer: -3016*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 2*u. Let c be q(-2). Let t be 1 + (-4)\/(-4) - c. Solve -4*x = 16, 1 = -t*g - 2*x - 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 35. Let h(c) be the third derivative of c**5\/60 + c**4\/3 + c**3\/3 - c**2. Calculate the least common multiple of h(w) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 154, 347, 618, 967, 1394?\n\"Answer: 39*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b + 3*f - 62, 0 = b - 2*f - 31. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282137546.869 - 282005293. Let w = 132250.96900019 - z. Let x = -2.9 - w. What is x rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:01 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**3 - 14*h**2 + 31*h + 129. Is 52 a factor of y(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4660 - 13975\/3. Factor -8\/3*t**2 + 0 + t + o*t**3.\nAnswer: t*(t - 1)*(5*t - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2*u - 941*p**2 + 3*p*u + 3049*p + 106285292*u wrt p?\nAnswer: 4*p*u - 1882*p + 3*u + 3049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u - 4*u - 2*u)*(0 - 1 - 1)*(2 + 1 - 2) as x*u + y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y - 162*y + 94*y - 558 + 138 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 6. Suppose v + 6 = t*v. Calculate the remainder when (264\/36)\/(4\/6) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/5 = 67671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 339619154.42.\nAnswer: -339619156.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5775 - 1?\nAnswer: 5774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43937 + -43953. Let l(m) = 11*m + 32. Determine l(n).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 21*l + 9064 = 0. Suppose -30*a + 31*a = l. List the prime factors of a.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzzzjjzzzzzz. Give prob of picking 3 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 - h**2 + 2*h**2)*(2*h - 3 + 3) + 50 - 50 + 12*h**3 to the form b*h**3 + g*h**2 + u*h + z and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(8))\/(-3*sqrt(294)).\nAnswer: -sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 2. Determine a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:33 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -653*g**3*n**2 + 978*g**2*n**3 + n**3 - 41*n**2 + 10*n - 660 wrt g?\nAnswer: -1959*g**2*n**2 + 1956*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + f + 33 + 2 = 0, -4*f = h + 32. Is (-170)\/(-6) + (-24)\/h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1525.965 - -1367.8. Let o = -158 - a. What is o rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9 + 3. Let v = 6 - 11. Let t = -37.1 - -37. Which is the biggest value? (a) z (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -41\/253?\nAnswer: -41\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((2\/54)\/1). Let j be (25\/15)\/(3\/k). Solve 3*b = -3*f - j, 4*f = -f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4 - 2*a)*(-6 + 3*a**3 + 6).\nAnswer: -6*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(12)\/sqrt(4))*-3 - (sqrt(11) - (sqrt(55)\/sqrt(5) + sqrt(11) + sqrt(11) + sqrt(11) + -3) - -2*(-1 + sqrt(11))).\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 64842.\nAnswer: -1296.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1217874 and 9?\nAnswer: 3653622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffdffffcfndzducff. Give prob of picking 3 f and 1 u.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -8.7. Let y = 1.3 + -0.3. Let h = 77 + -769\/10. What is the third biggest value in d, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2100 and 750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200324 (base 7) to base 5.\nAnswer: -32102302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10.678464 seconds?\nAnswer: 0.00296624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(686) + sqrt(686)*1))\/(sqrt(63)\/(sqrt(9) + sqrt(27)\/sqrt(3))) + (6*sqrt(12)*-2)\/(sqrt(18)\/sqrt(3)*-3).\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 5 + 6*w**2 - 2*w**2 - 3*w**2.\nAnswer: w**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2380 and 28.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 856 divide 5262298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/43 - 111\/86. Let v = -3.6 + 0.6. Let n = v - -7. Put -2\/3, j, n in descending order.\nAnswer: n, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2 + 7136*g - 6365312 = 0.\nAnswer: 1784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.24 + 1.76. What is the closest to 1\/6 in -12, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423815 - 9?\nAnswer: -423824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 406*q - 290*q - 3 + 33*q.\nAnswer: q**2 - 663*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/5) - (-44)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1b6 (base 13) to base 7\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2542 (base 6) to base 11.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 25.71. Let j = -13.29 + h. Let f = 8 + j. Which is the closest to -2\/7? (a) -4 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/45 - (-94)\/(-18). Let u = 6 + -4. Let n be u\/(-3) + (-10)\/(-6). Sort n, y, 3 in ascending order.\nAnswer: y, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 + 53 = 0. Let r be (l\/(-24))\/(11\/(-6) + 2). Solve -r*s + 2*f + 6 = 0, -3*s + 4*f + 21 - 9 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14459 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -1\/4*o**4 + 0 + 0*o**3 + 0*o**2 + 4*o. Let s(r) be the first derivative of 8*r**3\/3 + 2. Calculate s(l(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.052 - -0.472. What is q rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 10*k + 2. Let x be r(-10). Let z be (0 - (-2 + 2))\/x. Solve 4*o + o + 3*d = z, 0 = 4*o - d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 127*j\/3 + 220.\nAnswer: -(j - 5)*(j + 132)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (397320\/(-65))\/(-4) - 4\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:03 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - z - 3. Let t be p(5). Suppose -2*k = -0*q + 3*q - 4, 3*q - k = 7. Let w(r) = -20*r + 11*r - 7 + 0 + r**2 - q*r**2. What is w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/((-5)\/45). Let u(t) = -1. Let g(i) = 2*i + 8 + 1 - 1. What is q*u(v) - g(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-364567\nAnswer: -364566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f**2. Suppose -445*t = -412*t - 1518. Calculate the remainder when t is divided by x(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/120 + l**5\/4 - 337*l**4\/24 - 117*l**3\/2 - 2430*l**2. Find r, given that f(r) = 0.\nAnswer: -27, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-3)*(1 - 4). Let v = r + 11. Find the second derivative of m**4 - 2*m - v + 3 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169\/2*q**3 - 210*q - 16 - 702*q**2 = 0 for q.\nAnswer: -8, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -3*u + 20, 4*v + 10 + 1 = 3*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 13*t - 15*t - 4*n, -n - 185 = 33*t + 74 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/729)\/(356\/(-534))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.8 - 11.8. Which is the smallest value? (a) 5 (b) m (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -70. Which is the nearest to 1\/4? (a) x (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3571981.9 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 4440.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 282*p - 552.\nAnswer: -3*(p - 92)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = 192. Suppose -22*z + 18*z = -s. What is the highest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - z. Let t be l(-1). Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198539991.\nAnswer: 11, 269, 405049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 660. Let c = 1321 + -15817\/12. What is the common denominator of c and (1\/(-14))\/((-4)\/z)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (36\/208)\/((-1)\/(-24))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*b - 60, -4*b - 1051 = -14*f - 1219 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -212, -249, -292?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -25.5. Let g = 0 - -6. Which is the second biggest value? (a) q (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/119, -0.1, 5, 0.5 in increasing order.\nAnswer: -0.1, -2\/119, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -1\/84*j**4 + 17*j - 18\/7*j**2 + 0 + 2\/7*j**3. Factor r(c).\nAnswer: -(c - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 2*d + 3. Let n be k(-2). Suppose 3*v = -5*m + 209 + n, m - 3*v - 62 = 0. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 4 = 0. Let r(m) be the third derivative of m**6\/120 - m**5\/12 + m**4\/6 - m**3\/3 + m**2. Determine r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25867?\nAnswer: 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -124. Let m = -46 - p. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 4 = 0, -4*r + 149026 = 2*b. Suppose -8*n = -3*n - b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*((u**(-4\/3)*u)\/u)\/u)**(-33)*((u\/(u*u*u*u**0\/u))**(-27))**21 assuming u is positive.\nAnswer: u**611","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/51 + 43\/204. Let g = 6.71 - 6.9. Let d = 3.19 + g. What is the third smallest value in 4, d, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-26) + 1\/(-2). Sort 9, 1, f.\nAnswer: f, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -135*j**3 - 3*j - 2. Suppose 6*t + 31 = 25. What is the hundreds digit of m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 16*d = -34181. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 5*w**2 + 3*w**2 + 11*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711924746.\nAnswer: 2, 13, 3221, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 (base 12) in base 7?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 0, -n + d + 286 = 3*n. What is the remainder when n is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 3, 173, -11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10196293413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -192\/11, 0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -15\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*305681.\nAnswer: 122272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33113740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 + -4)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8261 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7 = -g + 10, -11 = -g + 3*b. Let s(h) be the first derivative of 2 + 0*h - 1\/2*h**g. Let f(t) = -2*t. Determine s(f(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/45)\/(12\/(-9))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p + 5. Suppose -19 = l - 2*x - 2*x, -5*x + 23 = -2*l. Let a(u) = u + 1 - 4*u + l. Determine -9*a(g) + 4*t(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 2 - 11)*((4 + 2*p - 4)*(0 + 1 + 1) + 2*p + 0*p + 0*p) + 3*p - 6*p - 2*p in the form z + h*p and give h.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85329153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2274 - 36401\/16. Let g = 776092\/249839 + -708\/229. Let l = -52883\/39276 - g. Find the common denominator of k and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1497804 and 43\/5082.\nAnswer: 16475844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2011334 or -2011333?\nAnswer: -2011333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1998733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.517 - 0.517. What is the third smallest value in 1\/8, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45, 197, 439, 771, 1193, 1705, 2307?\n\"Answer: 45*y**2 + 17*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -14801774.\nAnswer: -8\/7400887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 168582 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -3.\nAnswer: -10, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2815 + -979. Is 34 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 16*z - 12. Calculate the remainder when o(-14) is divided by 5 + 0 + 2\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41771497.\nAnswer: 41, 1018817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*(-31)\/9*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**2 - 14*z**2 + 0*z**2)*(3*z**2 - 2*z**2 - 2*z**2) + 4*z**4 - 3*z**4 - 2*z**4.\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + y + 2*y = 0, 3*l - 13 = -4*y. Suppose 0 = -3*q - 248 + 1430. Suppose u = -5*j + 660, -3*j + 2*u + q = l*u. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + b - 2. Calculate v(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11820951509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4091 or 4090?\nAnswer: 4090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**20)**(-6\/31) assuming r is positive.\nAnswer: r**(-120\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:25 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 + 52\/20. What is the third biggest value in 2, r, -152, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1.09.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (187\/((-561)\/(-294)))\/2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 6*w - 3. Let u be o(-3). Which is greater: u or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 11 = 2*x, -2*x + 3*w = -5. Suppose x + 11 = -3*u, -4*k = -2*u - 18. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 126 - 125 - 16*s + 0.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x - 4. Let w(a) be the first derivative of 17*a**2\/2 + 11*a - 3. Let y = 16 + -5. Let j(u) = y*c(u) + 4*w(u). Let s(l) = -3*l. Determine j(s(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-five halves of a millimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 + 5*u - 5. Let y(f) = -3*f**2 + f - 53. Let o(m) = 2*m**2 - m + 40. Let d(i) = -4*o(i) - 3*y(i). Give 5*d(x) - p(x).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -7*v**3\/6 - 3*v. Let i(u) = 2*u + u - u. Give x(i(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - (51 - 73 - 33).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, 1 in increasing order.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*s - 2)*(-1 + 3 - 1) - 106*s - 118*s + 217*s + 3*s - 1 + 1 to the form q + g*s and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let k(f) = -1056*f - 8160. Let l(c) = -c - 51. Let u(x) = 3*k(x) - 480*l(x). Calculate r(u(b)).\nAnswer: -2688*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11849 + -11848. Put n, -0.3, 2\/7, -17, -1\/5 in descending order.\nAnswer: n, 2\/7, -1\/5, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185.9 - 186. Let x be 4\/14 + (-1 - -1). Which is the nearest to x? (a) -0.2 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 5 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -467 - -745. What is the tens digit of (9 - 5) + l + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 1.4. Let u = -4.6 - o. Let x be (-4)\/6 + 13\/15. What is the nearest to 0.1 in 3, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631397 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3132820 and 1000?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 539454369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 16. Let a be r(11). Suppose -3*l + 113 = a. Suppose -4*t - l = -5*v + 4*v, 0 = -v + 2*t + 23. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14428485, -14428477, -14428469, -14428461?\nAnswer: -14428453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8*n = -3*z + 16, z = 5*n - 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2737776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/217, 1\/6, 0.5, 1, 1\/5 in decreasing order.\nAnswer: 1, 0.5, 1\/5, 2\/11, 1\/6, -2\/217","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3 = m, 5*a + m + 7 - 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*d**3*t**3 + 4*d**3*t + d*q*t**2 + 20*d*t**2 - q*t**3 + 2*t**4 wrt t?\nAnswer: 168*d**3 - 6*q + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -63. Let a be 15\/120 - 23\/k. Let t(n) = 7*n**2 + 1 + 5*n**a + 0*n**3 - 4*n**3 - 7*n. What is t(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -393*j + 378*j - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -431400 to the nearest 1000.\nAnswer: -431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72.7 + 76.69. Let v = c - 3.99001153. What is v rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Let r = 6 + -3. Let z = 1.9 - 2.2. What is the second smallest value in z, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-2190*q**2 + 5580*q**2 - 2525*q**2).\nAnswer: -865*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212021 + 12?\nAnswer: -11212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11170, 586.\nAnswer: -11170, 4, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6787033 greater than -6787010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/9)*s)\/s)\/(s**(1\/15)\/s))**22 assuming s is positive.\nAnswer: s**(1144\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x + 7. Let u be g(9). Let y be 2\/7 - 2\/u. Suppose 0 = -5*b - y*b + 105. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 1182.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/301, -169.138 in ascending order.\nAnswer: -169.138, -2\/301, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484852654 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 81*t + 73. Let l be n(26). Let i(g) = -g**2 + 4*g - 1. Let x be i(4). Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4283*b + 187*b - 427*b**2 + 209*b**2 wrt b?\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i - 2. Let h be 325\/(-35) - 4\/(-14). Let a be w(h). Let d be (-4)\/(-14) + 24\/a. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2991 - 26869\/9. Factor 10\/9*o**4 + 0 + 32\/9*o**3 - p*o**5 + 8\/9*o**2 + 0*o.\nAnswer: -2*o**2*(o - 1)*(5*o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 4*s - 1. What is the smallest common multiple of ((-8)\/12)\/((-14)\/189) and h(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let i be p(4). Let j(c) = 2*c - 5. Let s(v) = 2*v + 1. Let k(a) = 11*a + 3. Let x(w) = 3*k(w) - 15*s(w). What is i*x(t) + 5*j(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, 2\/11, 674\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24365638?\nAnswer: 2, 11, 19, 71, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23161 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148730 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 3*f**2 - 3*f - 4*f - f + 0*f.\nAnswer: 3*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - k - 21 = 2*k, -5*k - 20 = -5*j. Suppose 0 = w + 2*v - j, 5*w - 4*w - 2*v - 1 = 0. Solve 0 = 2*s - 2*c - 12, -2*s + w*c = s - 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 + 9.01. Let s = -0.09 - n. What is the smallest value in -3, s, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:57 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(28) + sqrt(28))*-5)\/sqrt(4) - (-1*(sqrt(7) + -2) - sqrt(28)\/(sqrt(4)*-6))**2.\nAnswer: -319\/36 + 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 94900?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 88*b - 1144. Let n be r(13). Let o(x) be the third derivative of 0*x**3 + 0 - 1\/30*x**6 + 1\/5*x**5 + n*x - 1\/3*x**4 - 21*x**2. Factor o(h).\nAnswer: -4*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 17*a - 15*a + 4, -9*a - 2*b + 17 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16912\/5 - 3434. Let x = f + 302\/5. What is the common denominator of 270\/48 + 3\/2 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 0 (c) -0.24 (d) -125 (e) -51 (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/65 - (-2)\/10. Suppose u = 4*j - 12, 15*i - 19*i = 3*j - 21. Suppose -8 = i*h - 4*a, 7 = 4*h + 2*a - 19. Put h, 3, 0 in descending order.\nAnswer: h, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -21*a + 3. Suppose -7*g = -2 + 65. What are the prime factors of d(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4 + 6*o**2 - 71 - 2*o**2 - 4*o**2 + 7*o**3 wrt o.\nAnswer: 4*o**3 + 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = 3286 + 4557. Let u(d) = 173*d + 2 - 2 - j*d. Let g(s) = -4*s**2. Determine g(u(y)).\nAnswer: -25600*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6836 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-1300)*-13)\/((-18)\/10 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 1667*w**2 - 284338*w\/5 - 1740752\/5.\nAnswer: (w - 8369)*(w + 8)*(w + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2054, -4067, -6144, -8315, -10610?\nAnswer: -13059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = 88. Suppose 0 = 5*v - 4*u - 2 - 18, 3*v + 4*u - o = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 492, 986, 1480, 1974?\n\"Answer: 494*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3423 - 3433. Let j = -138 + 198. Let n be 19\/6 + u\/j. Solve 6 = -5*p + n*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*q - 37 = -280*q + 4*j, -5*j - 23 = 4*q. Let d(l) = -2*l**2 + 3*l + 3. Let g(m) = 6*m**2 - 8*m - 8. Calculate q*g(z) + 8*d(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157948697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188585767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 + 0 = 2*o, 4 = -4*j. Let g(y) = -3*y - 4. Calculate g(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -233, -917, -2057, -3653?\n\"Answer: -228*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w + 51. Give b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 179285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4195504020.\nAnswer: 2, 3, 5, 7211, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 2*g + 2*g + (-5*g + 4*g + 3*g)*(-3 + 0 + 4) + 2*g + g - g + 0*g - g + 2*g + 1 + 2*g - 1 + (3*g - 2*g + 5*g)*(1 + 0 + 3) as k*g + b and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-18)*(-5)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 681195000 to the nearest one million.\nAnswer: 681000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = 0. Suppose l*x - x + 24 = 0. Suppose -x = c - 3*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257\/1394 - -42400675\/4182. Let b = v + -1213247\/120. Let m = 219\/8 - b. Find the common denominator of -11\/10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*y - 0*y. Suppose 2*s + y - 16 = 0. What is the third derivative of -5*c**2 + 6*c**4 + s*c**2 + 3*c**2 wrt c?\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.07 - -5. Let i = 0.07 + w. Let v = 5 - 5.1. What is the biggest value in -2\/11, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21054 divided by 2.\nAnswer: 10527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 25 + 55. Suppose m - 4*v + x = 251, -5*m = 5*v - 1280. Round m to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:05 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -19 - 32*d - 18*d**3 + 31 + 32*d. Let g(z) = 7*z**3 - 5. What is 12*g(w) + 5*x(w)?\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13965 and 175.\nAnswer: 69825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d**2 - 39*d + 15. Let f(k) = -2*k**2 - 8*k + 3. Let v(m) = 24*f(m) - 5*x(m). Determine v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62752, 62621, 62464, 62269, 62024, 61717?\nAnswer: 61336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -1 + sqrt(1872) + sqrt(1872))**2*6.\nAnswer: -432*sqrt(13) + 101094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7 or -101?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/7 + 300*u\/7 + 608\/7 = 0. Calculate u.\nAnswer: -2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -13)\/(2\/3) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -199, -405, -611, -817, -1023, -1229?\n\"Answer: -206*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 89\/2*g**2 - 88\/3*g**3 + 28 + 0*g. What is the second derivative of u(r) wrt r?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(4\/(-48)). Suppose 14 + 1 = -3*b. Let r(o) = o**3 - o**2 + o. Let t(s) = 6*s**3 + 3*s**2 + 5*s - 1. Let y(q) = b*r(q) + t(q). Determine y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95738 rounded to two dps?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + -0.3. Let i be (1\/(2\/(-4)))\/(-4). What is the second biggest value in -0.5, r, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41473215 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10294*u**6 + 2*u**4 - 3*u**3 + 656*u**2 - 2*u - 48.\nAnswer: 1235280*u**3 + 48*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -75. What are the prime factors of 3\/(-2)*u\/6 - -168?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l - 1. Let j be s(-3). Let u(h) = -11*h + 14*h**2 + 80*h - 26*h - 9 - 42*h - h**3. Determine u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3051422 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l + 184. Suppose -104 - l = -3*z. What is z rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022855748 to 4 decimal places.\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23921.4 + 1397793.489.\nAnswer: 1421714.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1377005\/19 + -72447. Factor -66\/19*m**2 - 2\/19*m**3 - 576\/19*m - i.\nAnswer: -2*(m + 1)*(m + 16)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1232604470.913 + -1233537019. Let v = 932608.08700029 + x. Let t = -60 + v. What is t rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 2*g**3 + 3*g + g**2 + 3*g**3 - 4. Let d(h) be the first derivative of h**4\/2 - 8*h**3\/3 + 5*h**2\/2 - 6*h - 262. Calculate 5*d(w) - 8*p(w).\nAnswer: 2*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 51875, -2, -10 in descending order.\nAnswer: 51875, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:13 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 2*z)*(-1 - 2 + 4) + 8*z + 49 - 49.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10010010100010 (base 2) to base 7\nAnswer: -36225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1089 + -1089.50816. Let l = -0.51 - g. What is l rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1801)\/(-1) + (-51 - -42)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4436*g**3*q + 181*g**3 + 15*g - 2 with respect to q.\nAnswer: -4436*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 10) to base 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.7 + -66. Suppose 33 = -t + 35. Which is the closest to 1? (a) d (b) -0.08 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -327*b*j**2 - b*j*q**2 - b*q**2 - 38*j**4*q**2 + 94*j wrt j?\nAnswer: -654*b - 456*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47368 or 47369?\nAnswer: 47369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-2299) + 2\/11. Is x > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11639000 to the nearest 100000.\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from ylyeyqjeleyjll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + -13 + 6 + (7\/(-1) - -1). Find h such that -3\/7*h + 0 + 0*h**3 + 3\/7*h**5 + 6\/7*h**v - 6\/7*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16221, -16222, -16223, -16224, -16225?\n\"Answer: -u - 16220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/2? (a) -0.2 (b) 0.2 (c) 0 (d) 428 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - 2.6. Is u greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -199 - 2*o + 31 + 38 + 69 as r + j*o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 2. Let c be v(11). Suppose 4*d + 12 = 4*y, 0*y = 3*y + 4*d - c. Solve -b - 16 = y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1412460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4 + -4 + (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = 2*h + 14, -3*h + 33 = 3*r. Solve -c - 2*n = -r, 0 = 5*c + 6*n - n - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*o + 89*o - 8. Let m = 1 + 1. Suppose -m*f - f = -15. Sort f, o, 2 in decreasing order.\nAnswer: f, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 1, -3 in decreasing order.\nAnswer: 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 7) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781075495.\nAnswer: 5, 156215099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 43334*j\/5 + 5276832.\nAnswer: 2*(j - 21040)*(j - 627)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2 - 13304384*n + 37265856 wrt n.\nAnswer: -2*n - 13304384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267*b - 457*b = 22412 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(14\/(56\/1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1156, -3868, -11236, -25588, -49252, -84556, -133828?\n\"Answer: -388*u**3 + 4*u - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 10*z**2 - 6*z - 53. Let i be b(-10). Let k(y) = 0*y + 9 - 5*y + 2*y**2 - 10*y**2 + y**3 + y + 8*y. Give k(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-536 + 844)*((-121)\/(-726))\/(4\/6 + -1).\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28446 and 1254.\nAnswer: 540474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/5)\/v)\/v)**(-33)\/(v**1*v**(-2)) assuming v is positive.\nAnswer: v**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 - -9.16. Let t = 35.66 - 39.66. Which is the closest to -0.1? (a) 0.1 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (618\/201 - 3)*(3 + (-104)\/40)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 21\/2 + 3\/4*k**2 + 27\/4*k = 0?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676 + -198. Are 479 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 523683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*w + 4, -2*o - 4 = -4*w - 2. Let i(b) = 6*b + 4. Let y(l) = 34 - 11 + l - 6 - 16. Calculate o*y(v) - i(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2025)*-2 + sqrt(2025))*-6)\/(-4*(sqrt(245) + sqrt(245)*2*5 + sqrt(245))).\nAnswer: -45*sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 16.2 (c) 4 (d) -4 (e) 547\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80705 divided by -5.\nAnswer: 16141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*t + 1457*y - 1459*y, 3*y = -t - 18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/(39 + -44 + 282\/56).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vozo when four letters picked without replacement from zovvzo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574374 = -946*w - 540318 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3709*w - 3439*w + 61549 + 367331 = 0 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2825 - 1?\nAnswer: -2826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 4*l**2 - 3*l**2. Let o(h) = 31*h - 228. Let j be o(8). Let b(i) = j*i**2 + 2*i - 8*i**2 - 15*i**2. What is k(b(s))?\nAnswer: -18*s**4 + 24*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.68 + 5.14. Let j = -2.46 + d. What is the smallest value in j, 5, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(152)*2 + sqrt(152)))\/(sqrt(128)*-1) - ((2 + 1*sqrt(76))*1)**2.\nAnswer: -80 - 35*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6\/5, -3, 0.6, 55, 0.5, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25)\/2)\/(1*(-7)\/(-56)). Let f = -400 - y. What are the prime factors of ((-54)\/15)\/((81\/f)\/9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58 + -1b?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-344*r**2 + 3*r**3 + 344*r**2)*(1 + 0 + 1).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 15*i + 55. Let t be o(-7). Calculate the remainder when t - -24*6\/3 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*k - 11 = -0*q, -3*q = -43*k + 255 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147 in 1\/12, 60, -2\/5, 1\/5, -5, -4?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10843, -13094, -15345, -17596, -19847?\n\"Answer: -2251*d - 8592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 8 = 12*l. Suppose -2*x + 3 = -j, -l*j + x - 5 = 7. Which is the closest to -0.1? (a) j (b) -0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 13.347, 2, 0.7, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10415 (base 6) in base 5?\nAnswer: 21301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155751 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**9*b)\/b*b)\/b)\/b**9*b**(-10)*(b\/(b**0*b))\/b assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2779*x + 46*x**3 - 2779*x)*(-63 + 47 - 209 + 42 - 3 - 231) as v*x**3 + h*x + b*x**2 + s and give v.\nAnswer: -19182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x + 61. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156*-1.668.\nAnswer: -1928.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 68?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 20191.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 3528218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32746 - -4?\nAnswer: 32752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*l - 538 = 0, -5*n + 104*l + 2625 = 102*l. Suppose 2*p = 3*p + 258. Let x = n + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4567, -4569, -4571, -4573?\n\"Answer: -2*r - 4565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 124?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003416 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -5*b, 4*b - 3*s = 1 + 8. Suppose b*n + 8 = n. Is (-345)\/n + 6\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 36. Let s be 1\/((-1)\/26) - -2. What is the lowest common multiple of g and s*3\/(27\/(-6))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 2*s + 1. Let g(a) = a**3 + 16*a**2 + a + 18. Let y be g(-16). What is z(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211 (base 4) in base 11?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4 + 0)*-2. Suppose -7*q + y*q + 110 = 0. Suppose 2*u - q = -3*u. Solve -4 - 2 = 2*k, -3*k = -2*x + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.13, 2\/7, 19489095?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00119775072 rounded to seven dps?\nAnswer: -0.0011978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 216. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-30) + (-17)\/6. Let k(x) = -x**3 + 3*x**2 - x - 2. Let o be k(3). Is o equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 1 - 2*c**2 + 0*c**4 - c**4 + 4 in the form w + m*c**2 + o*c**4 + u*c + k*c**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.01 (b) 15 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(540) - sqrt(60))\/(-3*(sqrt(12) - (sqrt(48) + sqrt(12)))).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 164, 393, 572, 677, 684, 569, 308?\n\"Answer: -4*g**3 - g**2 + 260*g - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20342, -39971, -59598, -79223?\n\"Answer: d**2 - 19632*d - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1889318.\nAnswer: -1889316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 - 5*18\/60. Which is the closest to 1\/4? (a) 71\/2 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 145 = 10*z, -3*z + 669*j - 674*j - 24 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1041675 and 22287.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 - 230*q - 146. Determine t(-57).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*y = 0, -2*t + 32 = t - 5*y. Let u = 120.99 + -122. Let b = 0.01 + u. Sort 1\/4, t, b in increasing order.\nAnswer: b, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6406 from -0.2.\nAnswer: -6406.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 31045 (c) -1 (d) -8\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 362.8 - -2.2. Let s = -367.79 + q. Let y = s - -2.79000119. Round y to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*f**3*g - f*g + 5*g + 28 with respect to f.\nAnswer: -321*f**2*g - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.62008447 rounded to three dps?\nAnswer: -33.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/21588 and 121\/12024516?\nAnswer: 12024516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9004732 to the nearest integer?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = -95457 + 95286 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91419805 and 10568.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 20 = -4*a - a, 2*a + 4*b + 20 = 0. Let m be 5181\/(-5) - (-41)\/205. Let x = m + 71486\/69. Do a and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*4 + -1 + sqrt(14)\/sqrt(2) - (0 + sqrt(560)\/sqrt(5)).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/15 + -2 + (-78)\/(-15). Factor -1\/2*q**2 + 0*q + 0 + q**c - 1\/2*q**4.\nAnswer: -q**2*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7534 or 2899?\nAnswer: 2899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 57 = -9. Let n be (-10)\/(90\/9)*-44. Calculate the highest common divisor of a and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.70199 + 23.7. Round r to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14383928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g + 3 = 0. Let s(y) = 2*y**3 + 2*y - 3. Let i(q) = 16*q + 1 - q**3 + 20*q - 59*q + 22*q. What is g*i(o) - s(o)?\nAnswer: o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**3)\/f)\/f**(2\/5))\/((f*f**(-2\/15))\/((f*f**(-6\/7))\/f)) assuming f is positive.\nAnswer: f**(-433\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 205167.7g?\nAnswer: 205167700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.1. Let q = 4.4 + -4. What is the closest to 0 in 1\/4, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504500 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54495 by 10899.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**2\/2 + 10. Let a be x(-3). What is the first derivative of a - 4 - 3*y - 2*y wrt y?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 + 0*u**2 + 5*u**2. Let v(j) be the third derivative of j**5\/60 - 2*j**2 - 80. Determine i(v(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1569536 divided by -16\nAnswer: 98096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*j + 52*j + 41*j**2 + 73*j**2 - 81*j to i*j + u*j**2 + d and give u.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3\/3 - 25*d**2\/3 - 1240*d - 9900 = 0. Calculate d.\nAnswer: -18, -10, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-70)*-14)\/((1632\/30)\/(-17)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15))**(-2\/31)\/(d**(3\/11)\/(d\/d**(-22))) assuming d is positive.\nAnswer: d**(8080\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 102 - 117 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 699, 2737, 6127, 10863, 16939, 24349, 33087, 43147?\n\"Answer: -j**3 + 682*j**2 - j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2443 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3065 + 3065.3. Let l(i) = i**3 + 8*i**2 + 6*i - 8. Let r be l(-7). Let w be (r\/(-7))\/((-12)\/14). What is the smallest value in w, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:15 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 4*p - 1. Let o be w(2). Let g(s) = s**3 - s**2 - 4*s - 1. Let i be g(o). Suppose 2*v = i*v - 303. List the prime factors of v.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501 - 1464 + 505 = 292*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56337262 (base 8) to base 14\nAnswer: 188c306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12055 (base 6) in base 7?\nAnswer: 5066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h - 5. Let f be m(4). Suppose -2*q = 4*s - 66, -2*q + f = 2*s - 19. Suppose 3*w = 7 + s. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + n + n = -4, 5*m + n = -2. Suppose -2*t = -v - 25, m = -2*t + v - 4*v + 21. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 + -124. Find the first derivative of -a - 50 - 277*i + 525*i - 341*i wrt i.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 2179.\nAnswer: 217.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(0 + 0 - 11*f)*(145 - 61 + 155).\nAnswer: -2629*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 33*q**2 + 33*q - 38. Give r(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - p**2. Suppose 3*d + 3*u - 5 + 8 = 0, -6 = 2*d + u. Let z(a) = 6*a**3 + 13*a**2 - a - 3. Let t(w) = d*h(w) - z(w). What is t(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**4 + g + 3 - 312*g**3 + 312*g**3 - 7*g**2 in the form p*g**4 + o*g**2 + a*g**3 + v + j*g and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 = 5. What is the least common multiple of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.28 + 49.17. Round y to 0 dps.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77622 plus -4.2?\nAnswer: -77626.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 + 21\/6)*-22 - -1 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 9 - 34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*x - 15, 0 = 4*k + k + 4*x + 20. Let r(w) = -w**2 + 2*w - 186. Let n be r(k). Let s = n + 260. 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 remainder when ((-5180)\/(-8))\/5 + 15\/10 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + a1042a?\nAnswer: a10445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*a + 2*y, -4*a = y + 4 - 19. What is the nearest to 0 in a, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1150 and -81\/70.\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62926076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -4*b + 2*x, 0 = -b + 3*x + 147 - 9. Calculate the highest common divisor of b and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3) - 1)*-1. Suppose 8*c + 35 = -5. What is the closest to 2\/3 in d, c, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n**2 + n + 8. Let w(t) = -t + 5. Let r be w(5). What are the prime factors of q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 852847, 852845, 852843, 852841, 852839, 852837?\n\"Answer: -2*h + 852849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 2*g**2 - 94*g + 11*g - 2*g**2 + g**3 to the form k*g**2 + s + o*g**3 + h*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.01 + 74. Let m = 5.9900114 - h. Round m to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/1 + 2295\/(-1530)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2241474428.\nAnswer: 2, 41, 59, 83, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 4\/(-3 - (-52)\/16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9135795 and 13265.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -541.1 and -0.061835023?\nAnswer: 541.038164977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297472 - 219568 = -184*a. What are the prime factors of a?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1974 by -14.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wckfkknkffc. What is prob of sequence nc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -4)\/(1\/(-209)). Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 1226 - 14064. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*w + 4*w - 400, -4*w - s + 384 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*p = -110*p + 2*f + 163700014, -f = 7. What is p rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 7*l - 4. Let p be i(-8). Let s = -34 - -34. Suppose 6*d - 9*d = s. Which is the closest to d? (a) -1 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 - 90. Suppose 3*p - 70 = -a*l, -4 = -p + 2*l + 6. Solve -3*v - 2*v = p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y - y)*(0*y + 1 + y - 27*y**3 - 22*y**3).\nAnswer: 147*y**4 - 3*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6017 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59329 rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + r - 27. Give y(-6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*n - 1115, -3*n - 53 = 3*s - 734. What is the remainder when s is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x. Let f be n(1). Let y(i) = -2 + i**2 + 0*i + f*i. Let w be y(-2). Solve w*o = 3 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 13*c**2 - 16*c + 51. Let s be o(12). Solve 3*l + 11 + 1 = 3*v, v = -s*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25822 - 28489. What is q rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 c when three letters picked without replacement from {c: 4, z: 1, e: 1, l: 3, o: 1, x: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 27\/(-6))*(-8)\/6. Let h(n) = n**2 + 2 - w*n**2 + 4*n + 4*n**2 + 1. List the prime factors of h(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -32. Put n, -4, 1 in decreasing order.\nAnswer: 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/12*6\/4. Suppose 3*b - 3*o - 7 = -2*o, -b = -h*o - 7. Solve 4*f + b*n = 18, -4*n + 23 = 5*f - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/5 - 6422*h**4\/5 + 25712*h**3\/5 - 5144*h**2 = 0 for h.\nAnswer: -3215, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i - 493. Determine w(50).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.7, -570, 1\/131, -0.2.\nAnswer: -570, -4.7, -0.2, 1\/131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 7*b**2 + 17*b - 7. Let q be f(-9). Find the second derivative of 2*r - 9*r + 15*r**q - 3*r wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62981556 is divided by 1218.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2382 - -2742. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2179885 by -5.\nAnswer: -435977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, z: 1, g: 1, m: 1, b: 1}. Give prob of sequence zm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*h + 21664 = -8112 - 7560 for h.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4178*a + 534*a = 18848 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10713634100 rounded to the nearest 1000000?\nAnswer: 10714000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*n**3*y**4 - 200*n**3 - n**2 + 7*n*y**4 with respect to y.\nAnswer: 88*n**3*y**3 + 28*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*r*u*y + 3*n*r*u - n*r*y + 3*r**2*y + 21*r**2 wrt y.\nAnswer: -2*n*r*u - n*r + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4 = -3*o, 3*z - 4*o = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osossosoosoo. Give prob of picking 3 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123383 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 37*o**2 - 165*o + 55. Determine f(41).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 122011101 (base 3) to base 5\nAnswer: 400021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((98\/(-98))\/(5\/(-2)))\/(12\/20*3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227032 to the power of 1\/2, to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9186 + -0.2354. What is b rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 0, 2*h - 2*d + 0*d + 38 = 0. Let i(u) = 2*u**3 - 4*u**2 - 2*u + 2. Let q be i(3). What is the units digit of (-4)\/q + h\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2693 + 4.2693. Let d be 2\/(6 - (2 - 0)). What is the second biggest value in 3, d, x, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*c**3 + 107*c**3 - 3*c**2 - 41*c**3.\nAnswer: -14*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29\/3 (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 1\/3, 0, -2\/5, -1\/14, 1.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052 a factor of 73223584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:14 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233 + 232. Sort -2\/5, 0.02, s.\nAnswer: s, -2\/5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-2)\/10*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a + 202 = -4*l, 5*l + 0 = 2*a + a - 10 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 37 - (-52 + 23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/8*(-1)\/6*(-387)\/129.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m = -1472. Suppose -102 - m = -b. Suppose -b = -2*x + 10. Calculate the highest common divisor of 30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - 71. Let k = 2.812 + -0.812. Which is the third smallest value? (a) k (b) q (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 84, 138, 196?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33271 and 34823.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293*v**3 + 624*v**3 + 612*v**3.\nAnswer: -57*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (5\/(-25) - 5637\/15). Suppose -4*i + 840 = -t. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12584 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let r be q(3). Let z(m) = -2 - 3*m**3 - m + 3*m**3 + m**2 + m**r. Calculate the least common multiple of 8 and z(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, 25302, 5, 4, -0.1 in decreasing order.\nAnswer: 25302, 5, 4, 1\/5, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 297.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23624 less than -2?\nAnswer: -2.23624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 120688.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 4. Let g be i(-6). Suppose -4*z - g = -0. Let r be z\/((-14)\/36) + -3. Calculate the highest common divisor of r and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-18)*(27 + -29)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by (3*-4)\/(-3) - (-226 - 483\/(-23))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -10, 1, 3 in descending order.\nAnswer: 3, 1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 637 and 3178.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -8 - ((10 - 9) + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141575, -141578, -141581, -141584, -141587?\nAnswer: -141590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26998083 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/2*(-64)\/20. Let p = n + 28. Suppose p*i = 177 - 45. Is 33 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7240, 28988, 65236, 115984, 181232, 260980?\nAnswer: 355228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*-2)**2 + sqrt(2057) + (sqrt(2448) - 2*sqrt(2448))**2 + (-6*(sqrt(68) + sqrt(68)*1) - sqrt(68))\/sqrt(4))*3.\nAnswer: -6*sqrt(17) + 32028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - z + 36. Suppose z*n = 19*n - 360. Calculate the highest common divisor of n and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -27. Suppose o*k = -g + 3, 9 = -3*k - 2*k + 3*g. Suppose k*q + 2*c - 645 = -q, 3*q + 3*c - 1920 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 418 + 1107. Suppose -z + 110 = -5*p. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1082 and -4331.\nAnswer: -4330.8918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(6)*-1*-1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16938030 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 11, -2 in ascending order.\nAnswer: -7, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-10) + 21\/15. Suppose -3*z + i*z = -4. What is the third derivative of 5*p**6 - 6*p**2 + 6*p**4 - 2*p**6 - 6*p**z wrt p?\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-39)\/52)\/(6\/(-23704)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 + 11*r**2 + 6*r + 10. Let v be p(-5). Suppose -v*n - 27 + 17 = 0. Suppose 3*z - 17 + 8 = 0. Sort z, -6, n in descending order.\nAnswer: z, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1376 divide 2091565408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (93\/(-9))\/1 - (-12)\/(-18). Let h = w - -212. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*g - 11629990, -2*g - 78014 + 11708018 = 5*x. Round x to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:48 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/795 (b) -3 (c) -122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfvfumq. Give prob of picking 1 m, 1 v, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 + -118. Let f = c - 66. Let u = 32 - f. What is the smallest value in 2, -1.1, u, 0.5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -75*h + 5031. Determine j(7).\nAnswer: 4506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 2272528*m - 6817548.\nAnswer: -4*(m + 3)*(m + 568129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((243\/(-162))\/((-3)\/(-62)))\/((-3)\/(-6))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 1. Let q = -94 + 95. Let y(f) = f + 1. Calculate q*t(r) + 3*y(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**2 - 2*i - 1. Suppose -18 = 3*c + 6. Let j be c\/(-14) - (-15)\/35. Suppose 10*p - 9*p = -j. Give k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1219544\/14 - (-79)\/((-6636)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/493161 and 13\/2301418.\nAnswer: 6904254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.58875*12\nAnswer: 19.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-448)\/(-280)*2\/(-8)*2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t - 65 = 0. Calculate the highest common divisor of t and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 17. Let k = t + 13. What is the least common multiple of 3 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 - (1 + -1)). Let p be 6 + -2 + -6 + -1 + 3. Suppose p = 3*y + 7 + 14. Put w, -2\/5, y in decreasing order.\nAnswer: w, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 - 12 = 0. List the prime factors of -7*(a - 8\/(-14)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 3*v**2 + 5 - 3 + 19*v**2 as g*v + l + n*v**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -412*a**3*d**4 + 22*a**3 + a**2*d**2 + 5*a wrt d?\nAnswer: -9888*a**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 5328?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(7\/2)\/r**2*r**(-28)*r*r**25\/r assuming r is positive.\nAnswer: r**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 - 239*a**2 + 171*a**2 + 78*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 63 = -238. Let u = l - 17. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 20?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -z + 9. Let j be -3 + 4 + (3 - z). Factor 19*v + j*v**4 - 5*v**2 - 19*v.\nAnswer: 5*v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10310, -10337, -10364, -10391?\nAnswer: -10418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 5*w**2 + 3*w + 4. Let j be r(4). Let t = 143\/424 + 2\/53. What is the closest to j in -1\/8, t, -1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -353, 0.06, -1\/14?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y = 9*q + 22*q - 27*q + 159, 2*q = -5*y + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d. Let t(y) = 135*y - 272*y + 136*y. Calculate -35*t(n) - 5*z(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368413 - 3.\nAnswer: -368416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86922 - 86926.200032. Let f = -4.2 - s. What is f rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 38.83. Let l = -0.1821 + d. Round l to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + q**2. Let r be i(-1). Solve 3 = 4*c + 3*w, r*c - 3*w - 8 - 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/4 - 2*a**3 - 21*a**2\/2 - 13*a + 74. What is the remainder when b(9) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 + 64439?\nAnswer: 64463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 349 + -1046\/3. Let q(c) be the first derivative of g*c**3 + 12 + 1\/2*c**2 - 4*c. Calculate q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -1\/7, -0.2, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -27*s**2 + 15*s**2 - 1 + 12*s**2 + 34*s**3. Let m be r(-1). What is the units digit of (-28)\/m + 342\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from nnopnobbbpnobu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 10*c**2 - 2*c + 1. Let f be 8 - (0 - (-14)\/7)\/(-1). What is w(f)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(6 + 208*r - 338*r + 135*r).\nAnswer: 15*r + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7766359 + 1.856569. Let f = -15.9199569 - l. Let m = f - -16. What is m rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -244200243?\nAnswer: -244200244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1980, 1997, 2014, 2025, 2024, 2005, 1962, 1889?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 26 (c) 0.23 (d) -35\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 14*p**2 - p - 11. Suppose 3*c + 4*u + 54 = 0, -5*c = 4*u + 33 + 49. Let n be q(c). Suppose 2*m - 81 = -n. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20580 and 103194.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + 4*-3*sqrt(68) - (sqrt(68) - (-6*sqrt(68)*2 - sqrt(68) - sqrt(68))))\/(sqrt(24)\/sqrt(216) + 1*sqrt(4)*2))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312045.\nAnswer: 3, 5, 71, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 9. Let y be r(5). Let w be 0\/(-1)*y\/(-4). Let v be 9\/51*(-2)\/3. Is v at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(450)\/(sqrt(9) + sqrt(81)\/sqrt(144)) - (2 + sqrt(1250) + sqrt(1250)*-2 + -1)**2.\nAnswer: -1251 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 + 6*r - 5. Let c be u(5). Let n(h) = -h**2 + 3. Let g be n(3). Let a = 2 - g. Solve c = 2*l - a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3707057*k**4 + 1669509*k**2 + 1 wrt k.\nAnswer: -88969368*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ese when three letters picked without replacement from {e: 5, s: 9}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 9*o - 2*o - 4*o + 17*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4229420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 8*f - 6 = -j, 0 = 3*f + 5*j - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-12) + 75832*13\/39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) + 356\/(-6). Suppose 5*c - 4*n - 309 - 27 = 0, -3*n = c - 71. Let y = z + c. What is the remainder when y is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 + -23 - 11 - (-1 + 12)) + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*x, -5*k + 5*x = -11 - 4. Suppose 0 = 5*i - 3*l - 145, -k*l = -5*l + 15. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4377\/7 - -625. Put 0.5, l, -0.1, 4 in increasing order.\nAnswer: l, -0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(50\/10))\/(1\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v. Let u be j(-2). What is the units digit of u\/15 + 76\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58217*o**3 + 2*o**2 + 121*o - 23.\nAnswer: 349302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 102\/19, -5, 97, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(171))\/(sqrt(9) - (2*(sqrt(441) - sqrt(9)) - sqrt(9))).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 810\/(-7560)*1520\/57\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + s - 70. Calculate the least common multiple of s and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 7*r**2 - 8*r - 5. Let j be f(-6). Suppose -j*t - c + 4 = -4*t, 4*t = -2*c + 6. Let z = -1 + t. Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -15. Let y = d - -4. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide -3 - 1\/((-10)\/17140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8856898 to the power of 1\/2, to the nearest integer?\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -31. What is the units digit of i + 3 + 80 + 2*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + n)*(-408112*n + 408112*n - 279*n**2) + n**3 - 4*n**3 + 2*n**3.\nAnswer: -559*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 651, -204, 107, -4.\nAnswer: -204, -4, 107, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmhy when four letters picked without replacement from jhmyyhhhhhhm?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/((-55)\/(-10)))\/(2\/(-3)). Suppose -3*c = -12, 2*q - 6*q - 3*c + 12 = 0. Suppose v*i = -q*i. Solve -4*a + 12 = -i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206421.723ms to days.\nAnswer: 0.0023891403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9628, 18910, 27528, 35152, 41452, 46098, 48760, 49108?\nAnswer: 46812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -l + 28. Sort 4, 10, -6, l.\nAnswer: -6, l, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 15*u + u - 6*u + 3*u**2 + 10*u**3 in the form h*u + l*u**3 + y + x*u**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 4, -8, -3\/1955, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 660 = q. Let k be q\/42 - (-2)\/14. Solve 3*h - 1 = 2*z, 0 = -k*z + 3*z - 3*h - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1\/2, 2\/37, -1470 in descending order.\nAnswer: 3, 2\/37, -1\/2, -5, -1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 91980733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39955 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 18*g - 24. Let n be u(-19). Which is the second smallest value? (a) n (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 1922 = n + 1900, n + 5*o = -23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-2 + 4)*(-14)\/10. Suppose -20400 = -i*l + 5*l. Round l to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80446733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-231))\/((-32)\/112)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 31*o**2 - 33*o - 62. Let k be i(30). Let a = 154 + k. Solve -a*v + 10 = 5*q, q + 2*v + 2 + 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -920 + 919.99. What is the third smallest value in n, 0.1, -2\/21, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from rremehxxexrercxhecec?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 544 and 1343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Let u(l) = 32*l - 13. Let y(w) = -4*q(w) + u(w). Is y(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2 + 10 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 4*j - 3. Let w = -151 - -172. Suppose 9 = 6*i + w. Give v(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -287*l**2. Suppose -6 = 8*w + 18. Let t(p) = 4*p. Let m(v) = -v. Let a(q) = w*m(q) - t(q). Determine a(b(n)).\nAnswer: 287*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7998, 15975, 23952, 31929, 39906?\nAnswer: 47883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m**5\/3 + 3440*m**4\/3 - 66356*m**3 + 2129264*m**2\/3 + 11014672*m\/3 + 3955072 = 0 for m.\nAnswer: -264, -2, 53\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 980*v**3 + 983*v**3 - 1969*v**3 - 4*v.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41215405.\nAnswer: 5, 7, 11, 107053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(9\/((-45)\/(-10))). Solve 4*h + 10 + 6 = t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - ((-342)\/(-2) + -2). Let y = -173 - j. Find b, given that y - 12*b**3 - 3\/2*b + 33\/4*b**2 + 21\/4*b**4 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*n - 5*z - 0*z, 0 = -n + 2*z + 2. Suppose -n*g = -17 - 31. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184 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: Evaluate ((-6)\/(-4))\/(10\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 8*h. Give x(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 53, 68, 81, 92, 101, 108?\n\"Answer: -j**2 + 20*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 6*b - 5. Let y be a(7). Let q = 7 - y. Suppose 2*r = q - 3. Sort r, 5, 0.\nAnswer: 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 960092 = -h, h = -4*n - 149693 + 917772. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*1160.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 2 - 5)*(4*s + 0*s - s).\nAnswer: -6*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 22*x**2 + 78*x + 10. Determine a(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5008 + -4999. Let o(n) = n**2 + 19*n - 256. Calculate o(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 59. Suppose 0 = -0*x - 2*x - g*p - 31, -3*p - 3 = 0. Let w(v) = -v**2 - 15*v + 29. List the prime factors of w(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 216, -5, 1\/4, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -702056 and -0.06.\nAnswer: 42123.36","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -912*s + 908*s - 3*u + 104 = 0, 28 = -18*s + 2*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = r + 5*t, -13*r = -10*r - 3*t - 201. Which is bigger: 63 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-147)\/(-14))*2\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2188648 and -10\/16401.\nAnswer: 466182024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052540 (base 6) in base 10?\nAnswer: 53772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let b(w) = -w - 8. Let j(z) = -b(z) - 2*s(z). Let f be j(6). Suppose f*h + 3 = -1. Put -1, h, 5 in ascending order.\nAnswer: h, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(((-3)\/10)\/((-6)\/(-5)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 245735109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/12 + 5*b**3\/3 + 5*b**2 + b. Let z be (66*13\/117)\/((-10)\/15) - -4. Determine a(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579, -603, -665, -783, -975, -1259, -1653?\nAnswer: -2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrrrrrrrjrhkfjr. Give prob of sequence jh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + a - 2. Let f be u(1). Let x(b) = 125*b + 2. List the prime factors of x(f).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24238711 and 69?\nAnswer: 72716133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 15569 = 18701. Are 781 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56226 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8174410 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 9*v. Solve v + 9 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwhwwhwdhvwdwyh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 81955.8 milliseconds in nanoseconds?\nAnswer: 81955800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1376 + 0.0284. Let i = -0.014 - v. Which is the third biggest value? (a) -2 (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = 29. Suppose -5*u + 23 = 3*y - 2, 0 = 3*y - 2*u - z. Determine c so that -c + 3*c + 4*c - y*c**2 - c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442430 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2\/5 + 572936*w\/5 + 82063915024\/5 = 0.\nAnswer: -286468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6361163 minutes to seconds.\nAnswer: 38.166978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -581 + 393. Let b = k + 193. Solve -b*s = -6*s, 0 = -t + 5*s - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 17*p**2 - 72*p + 12. Calculate u(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -112 - (-10 + 4 + -47)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-3)\/6 + (-8711)\/(-20). Let p = 2173\/5 - t. What is the common denominator of p and (-12)\/75 - 6\/(-3 + -3)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1128 = -2*i, 3*i = -y - i + 264. Let o = y + -199. Let z = -649\/8 + o. What is the third biggest value in 0.4, z, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let i be (j\/(-3))\/(1\/(-9)). Suppose -i*u = -3 - 3. Solve b + u = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64327 - -98013. List the prime factors of f.\nAnswer: 2, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.671 - 11.671. Sort 2\/7, 5, 0.039, 0.5, q in decreasing order.\nAnswer: 5, q, 0.5, 2\/7, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1362.2 + -1362. What is the smallest value in -1\/4, -5, t, 0.11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18743*l**2 - 20799*l**2 + 39561*l**2.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4435 is divided by 84?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 594394388 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let x(s) be the third derivative of 0 + 0*s + 0*s**3 + 0*s**4 + 2*s**2 - 3\/20*s**5. Let a(n) = n**2. Let w(q) = 21*a(q) + 2*x(q). What is w(k(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -235289?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8535166, -8535132, -8535098?\n\"Answer: 34*i - 8535200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2247065002 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5738 in ascending order.\nAnswer: -5738, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*a - 0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 20 = 2*a + 3*a, -24 = -a - 5*f. Which is smaller: a or -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + -1 + sqrt(1584) + 0 + -6*sqrt(44)\/sqrt(4) + 0.\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60308 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1310*n. Let z(i) = 398*i**2. Determine z(h(u)).\nAnswer: 683007800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 167*i + 383. Determine y(-4).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 29. Calculate o(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 8*g**2 - 2*g + 6. Let x be l(-8). Let t = x - 37. Let n be (t\/(-4))\/(1\/4). Solve 0*i + n = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 118. Let m(q) = -2*q + 2. Let c(u) = -u + 2. Let j(i) = c(i) - m(i). Determine f(j(t)).\nAnswer: t**2 + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*y + 55 = -2*y, -4*y + 81 = 5*l. Let g(n) = -n**3 + 19*n**2 - 35*n + 23. Let t be g(l). Let k(b) = 6 - t + 5*b. Let m(v) = 4*v. Give m(k(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t - 3. Let b(l) = l**3 - 74*l**2 + 396*l + 824. What is the remainder when i(4) is divided by b(68)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8211 - -16237. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 16*m + 17. Let k be a(7). Suppose 2*r = -4*u + 6394, 3*u - 3193 = k*r - 4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/8)\/(2\/(-8)). Let v(u) = u - 1. Let i be v(-3). Let l be 1 + i - (-12)\/3 - 2. What is the closest to -2\/3 in -2\/7, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8316*k**3 + 6772*k - 78107392?\nAnswer: 24948*k**2 + 6772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15*1*6\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 39 - 137 - 9*h + 57.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184478155?\nAnswer: 5, 1549, 23819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -96818408?\nAnswer: -96818404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2298*d + 99 - 48 = 51 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 42.967 and -0.7.\nAnswer: 42.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 955 divided by 172.\nAnswer: 955\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 30910?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.08 (c) 18 (d) 2 (e) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -176 + 118 + 121 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 10*u + 26. Let v(i) = i + 1. Let o(k) = -n(k) - 6*v(k). Factor o(m).\nAnswer: -2*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 11*f**4\/12 - f**3\/6 + 54*f**2. What is the remainder when 53 is divided by v(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - 1.03. Let y = 0.7 + z. Let i = -1 - -0.8. Which is the second smallest value? (a) -1\/6 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174524.\nAnswer: 2, 7, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109640269 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53117013 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102796 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-147)\/9*(-18)\/(-6). Suppose 4*m - 32 = -180. Let d = m - z. Solve -w - 2*t - d = 0, 0 = 2*t + 8 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124600 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y - 1. Let i be s(-3). Suppose 3*m = -i*h + 3 - 2, 5*m + 5*h - 5 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**3*(r\/r**11)\/r*(r\/(r**(2\/7)\/r))\/(r*r\/(r\/(r\/(r**3\/r)))*r) assuming r is positive.\nAnswer: r**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18 and 67\/346?\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 1. Let o(k) = k**3 - 9*k**2 + 5*k - 1. Suppose 4*x - 2*r = -10, -13*x - 4*r = -11*x. Let g(u) = x*y(u) + o(u). Calculate g(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:21 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 713414005 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.9 + -1.1. Let f = -12499.0580025 - -12516.058. Let n = l + f. What is n rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62\/483 - 1\/69. Which is the closest to -1? (a) 0.3 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 12*q + 8. Which is the closest to -0.1? (a) q (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 338949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/5759 + 443467\/138216. Calculate the common denominator of 1\/27 and x.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 + 6*t**3 + 4*t**3 + (2*t**2 - t**2 - 4*t**2)*(2*t + 2*t - 7*t) - 8*t - 4*t**3 + 8*t to g*t**3 + a*t**2 + o*t + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, 23, 1\/3, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g - 18. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 16732.\nAnswer: 9\/16732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 + -8.8?\nAnswer: 146.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + 10000111101101010111011?\nAnswer: 10000111101101011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by -60.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122183210?\nAnswer: 2, 5, 43, 67, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 - 160 = 2*f - l, -2*f - l + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 137. Let a(h) = -3*h**3 + 5*h**2 - 5. Let p(t) be the first derivative of -5*t**4\/4 + 8*t**3\/3 - 8*t - 1. Calculate q*p(u) - 8*a(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -78*l**4 + 8*l**3 - 509*l**2. Let c(j) = j**4 - 3*j**3 - 2*j**2. Let m(k) = 2*c(k) + q(k). Find the third derivative of m(i) wrt i.\nAnswer: -1824*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -323203 + 0?\nAnswer: -323203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 12\/5 - 24\/5*k - 3\/5*k**3.\nAnswer: -3*(k - 2)**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 + 6140007*x**2\/2 - 24560052*x + 49120120.\nAnswer: (x - 4)**2*(x + 6140015)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.432097675 rounded to three dps?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k + 10. Let g(d) = -d**2 - 1 - k + 3. Let h(c) = -c + 1. Let p(s) = -30*s + 36. Let z(q) = 36*h(q) - p(q). Determine g(z(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7322777 and 249083?\nAnswer: 7571860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 1. What is n(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y - 158 = 21*y + 5*u, 3*u = -2*y - 34 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 4*b + 4. Let x be k(-5). What is the common denominator of -40\/7 and x\/(-2) + 213\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2, 1239, -1\/43, 4 in increasing order.\nAnswer: -2, -1\/6, -1\/43, 4, 1239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -171470 divided by 10?\nAnswer: -17147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*y + 112*g**3 + 20*g**2*y - 5*g*y**2 - 2*g wrt y?\nAnswer: 2*g**3 + 20*g**2 - 10*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 172, 62, -154, -512, -1048, -1798?\nAnswer: -2798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 3, -1\/35, -5?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3925 = -5*s - 5*f, -s = 2*s - 3*f - 2379. Solve 18*b = 861 - s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6481 - 4952. What is the greatest common factor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u + 4. Let q(d) = 13*d + 7. Calculate 3*q(o) - 5*r(o).\nAnswer: 9*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40732, -57891, -75050?\n\"Answer: -17159*q - 23573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4671813.\nAnswer: 3, 29, 53699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204.0184 + 0.0184. Let m = 203.903 + o. Which is smaller: m or 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5339766238 to the nearest integer?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.5 + 0.5. Let r be (-33)\/(-6) + 3\/(-2). Let g be 36\/315 - r\/10. Is g > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/28 + 14\/(56\/8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 1.73. Let t = j - -0.17. Suppose m + 0 + 4 = -2*x, 4*x + 32 = 4*m. Which is the closest to -1? (a) -5 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000002121 + 1?\nAnswer: 20000002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nonooonnnnnnnnnnnnn. Give prob of picking 3 o.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (1 - 0)*3018. Let l = -30239\/10 + o. What is the common denominator of -43\/3 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.96 in 1.2, -2\/23, -36?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a + 7. Give b(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 36. Suppose v*k + 12 = 8. Let a = k - -27. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1078 and -69\/1694.\nAnswer: 11858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60969 is divided by 6342.\nAnswer: 3891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -5)\/(2\/(-6)). Let a(q) = 2*q + 4. Let m be a(n). List the prime factors of (m - -10)\/((-2)\/(-7)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 226 + 45?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 13122670.\nAnswer: 13122666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 5*d + 73, 42*r + d + 21 = 44*r. Let z = 15 - 18. Let x be -3 - 160\/(-18) - z. Is x less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(10\/3))\/((s**(-29)*s*s)\/s) assuming s is positive.\nAnswer: s**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 8 = -5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -32. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44506361 = 44506342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*i - 13*i = 29*i - 138 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*3\/(-6) + 4 + 11. Suppose y*r = 85 - 21. Solve r*z - 2*z - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 1 = c. Let m be 33\/7 + 6\/c. Let b be -3*m\/(15\/(-8)). Calculate the greatest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23485\/4209 + 4\/46 + 12. Let u = 0.5 + -0.9. Which is the fourth biggest value? (a) q (b) u (c) 1 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -13 (c) -3 (d) 2.5 (e) -1 (f) -2192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81000 - 21191. Suppose -m - 26187 = -2*d - i, -42984 = -d - 4*i. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/1193, 3, 146 in decreasing order.\nAnswer: 146, 3, 15\/1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - (-5 + 1 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351673 divided by -3.\nAnswer: -351673\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-9)\/12)\/((-9)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7044 greater than 49300\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 8)*(-6)\/4. List the prime factors of (57\/s - 1) + 9\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599319 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 10*v + 4 = 0. Sort -0.1, v, 0.\nAnswer: -0.1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10103\/42 + -1678\/7. Find the common denominator of j and 17\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8\/7 (b) -0.3 (c) 1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -77. Suppose 2*u + 10 = 0, 3*a = 8*a + o*u - 235. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3906 and 252?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 - 3950*c**2 + 818125*c - 14822500 = 0. Calculate c.\nAnswer: 20, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f**2 + 5*f. Let m(s) = -4*s - 14*s**2 + 18*s + s**3 - 3*s**3 + 16*s**2. Calculate 8*a(b) - 3*m(b).\nAnswer: -2*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14244 (base 9) to base 15\nAnswer: -2d04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1327*o**3 + 548*o**3 + 390*o**3 + 391*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 11) to base 14.\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + s + 116. Let m(d) = -3. What is -k(a) - 2*m(a)?\nAnswer: -2*a**2 - a - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(4 + sqrt(1300) + 2*sqrt(1300) + (sqrt(1300) - (1 + (sqrt(1300) - (sqrt(1300) + -1)**2)))).\nAnswer: -39120 - 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gegegge. Give prob of sequence egg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*n - 9. Let t be ((-11)\/n)\/(8\/(-48)). Solve -5*r = -3*p + t, -5*p + r - 3*r - 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2986.\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*i = 809*i + 210 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**2 + 9*d. Let j(y) = 5*y**2 - 4*y. Let x(m) = 9*j(m) + 4*l(m). Let v(b) = -9*b. Determine x(v(q)).\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 12*a**2 + 14*a - 4. Let v(l) = -l**3 + 11*l**2 + 13*l - 4. Let o(x) = -3*h(x) + 4*v(x). Let y be o(9). Is y greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5533?\nAnswer: 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = d - 96. Let h = d + 468. Let -h*y - 1428*y**3 - 1368*y**2 - 615*y**4 - 48 - 189\/2*y**5 = 0. Calculate y.\nAnswer: -2, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) 5 (d) -151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w + 10. Which is smaller: w or -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*w - 146*w = 85*w + 11344 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*y + 14. Suppose 0 = -5*c + 2 + 8. Find the third derivative of -46*i**2 + 3*i**6 + 18*i**c + 15*i**y wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 + -120.1. Let i(j) = -2*j**2 - 40*j - 194. Let d be i(-7). Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 17. Let l be 1 - (s - (3 + 1)). Let y be 1*(-1 - 4*-1). Solve 4*f = l*d - 28, -2*d = -4*f + y*d - 33 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(48\/(-9))*76 - -4. Let n = j - -48. Let g(b) = 4*b - 10. Let p(y) = 3*y - 9. Determine n*p(m) + 4*g(m).\nAnswer: m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2755 = -4*y - 3*r + 2*r, -5*y - 4*r + 3430 = 0. What is the greatest common divisor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 4*m - 7*m - 3*h, -5*m - 3*h + 234 = 0. Suppose 5*n = 6*n + 3. Let w be (-16)\/3*n\/1. What is the greatest common divisor of w and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1968 and 23944?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011011101100 - 1011110?\nAnswer: -1111011101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 29522693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 18*m + 484 = -7*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**3 + 22*b**2 + 80*b + 24.\nAnswer: -2*(b - 6)*(b + 2)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*k**3 + 4255*k**3 - 779*k**3 - 2693*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1011001101?\nAnswer: -1011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24962 and 10?\nAnswer: 124810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*a**2 - 371*a**2 - 122*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -586482 - -586839.143. Let p = 357 - z. Round p to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 7*r + 12. Determine s(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -14*q + 84. Factor q + 20 - 38 - 2*z**2 - 6*z.\nAnswer: -2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-24)\/(-15))*(-5)\/(-250)*110?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v - 16*v - 48 = 2*n + 18*v, -51 = 2*n - 28*v + 3 - 6 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11791 in -3\/2, 0.4, -0.06, 2, -2\/17, 1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u + 99. Let r be x(-13). Let w(f) = f + 13. Let j be w(r). Factor 8\/5 - j*s + 10*s**2.\nAnswer: 2*(5*s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1169\/5 + 234. Let b(v) be the third derivative of 9\/70*v**7 + 5\/224*v**8 + 0 + 0*v**4 - 4*v**2 + 0*v**3 - c*v**5 + 3\/20*v**6 + 0*v. Factor b(r).\nAnswer: 3*r**2*(r + 2)**2*(5*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 + -133. Let u(a) = 3*a - 9. Determine u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -0.344, 2.78 in descending order.\nAnswer: 2.78, 0.15, -0.344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -1247, -2791, -4953, -7733, -11131?\nAnswer: -15147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16091.1 minus -0.7?\nAnswer: 16091.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -75. Calculate the greatest common divisor of 99 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 7*b)*(7*b**3 - 13 + 13) + 5*b**4 - 4*b + 4*b.\nAnswer: 54*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*t - 116*t - 91 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19130, 38262, 57404, 76562, 95742, 114950, 134192?\n\"Answer: b**3 - b**2 + 19128*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 113.9 (b) -3 (c) -5 (d) -32\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqkqpcp. Give prob of sequence pqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256414263.\nAnswer: 3, 7, 12210203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 1, f: 5, m: 1, u: 3, a: 6, d: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33078\/5 + -6616. What is the nearest to -29 in 0.3, c, -1\/5, -0.04?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + 7 + -8 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -1558. Let s = -446 + u. What are the prime factors of s?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 6118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 1948 - 598. Suppose 2*p - 197 = q. Suppose -p*m = -216*m + 10. Solve 6 = h + m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2056, -2050, -2042, -2032, -2020?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.5 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 2735?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(612) - (-1 + 2 + sqrt(612))))**2 - (-4 + (sqrt(153) - (sqrt(153) - 4*(sqrt(153) - sqrt(153)*-1 - sqrt(153))))\/(sqrt(144)*-2)).\nAnswer: sqrt(17)\/2 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54 - -153?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*a - 6, 3*a + 8 + 1 = 2*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -5)*((-21)\/(-14) - 1). What is the smallest value in 0, 0.06, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -50. Solve -v - 4 = 3*a + 13, -w*a - 19 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337856 is divided by 31852.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1699000000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1409*g**2 - 64816*g + 69. Calculate w(46).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5968342 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 142*k**2 - 26*k - 67. Let c be m(-3). Suppose c = 4*n - 1243. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.599 rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 62776.5481 to zero decimal places.\nAnswer: 62777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195437?\nAnswer: 3, 41, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 487731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 + -1*1. Let j(t) = 2*t + 19. Let n be j(-8). Let v(w) = w + 0*w**2 - 2*w + n*w**2 - 2*w**2. What is v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence occ when three letters picked without replacement from oouuoocoowucuoo.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 not equal to 90629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1219*x**3 + 184*x**2 - 184. Let q(j) = 20*j**3 + 3*j**2 - 3. What is 3*n(t) - 184*q(t)?\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13*t + 1. Give d(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20112 (base 4) to base 5.\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 1\/436 (b) -0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/60 + 7*u**4\/24 + u**3 + u**2. Let c(f) = -f**2 + 6*f + 5. Let j(d) = -5*c(d) + 4*l(d). Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51333 <= -975300\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u - 3. Solve 0 = -5*v + u*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -453 - -453. Solve u = i - 40 + 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -387, -564, -729?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 307.7 - 322. Let j = -7.1 - p. What is j rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 - 0, -5*l - 5*k - 30 = 0. Suppose 7 = 2*o - i, -5*o - 8 = -6*o - i. Sort o, l, -3 in ascending order.\nAnswer: l, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.018 + 0.018. Let b = 0.2 - 0.7. What is the biggest value in b, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/800*-50)\/((48\/(-102))\/8)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16114\/9 - 1790. Let g(a) be the first derivative of -8\/15*a**5 + 0*a + 1\/9*a**6 + 5\/6*a**4 - 7 - i*a**3 + 0*a**2. Find d, given that g(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.08. Which is the nearest to -1? (a) 3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + k + 7635 = 0, -239*g + 3037 = -237*g + 3*k. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 632*t**2 - 67423*t + 182. What is v(-93)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 14*l + 4. Let p(o) = -o**2 + 6*o - 5. Let f be p(4). What is the units digit of h(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 - (49 + -252)) + -44.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123692539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s**2 - 17*s + 3. Let a be w(4). Let x = 151 - a. Calculate the least common multiple of x and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -204\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5518 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100011 + -1101101?\nAnswer: 100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3 + 3)*(8 + 2*t**3 - 8 + (-4*t**2 + 3*t**2 + 3*t**2)*(0 + 0 + t) + t**3 + 3*t**3 - t**3 + 0*t**3 - 6*t**3 + 2*t**3).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/4157750 and -29\/7068175.\nAnswer: 70681750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23991 is divided by 146?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -8, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-7 - -10)*-1. Let i(g) = -g**3 - g**2 + 2*g + 4. Let p be i(0). Sort r, 3, p in decreasing order.\nAnswer: p, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092651 to 3 decimal places.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6604*u**2 - 54*u + 22*u + 32*u.\nAnswer: -6604*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-13 - 1\/((-84)\/1068)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6*s**2 - 11*s + 31. Let p be k(7). Suppose -35*g = -34*g - p. Solve -z + g = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/77 - -239\/308. Let d = -8 - -8. Let t = 0.2 + d. Which is the nearest to -0.1? (a) t (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(10*h + 3*h - 8*h)*(-1 + 1 - 2*h).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-8)\/144*21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 7 + 2*p + 4 + 7*p + 3.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1299 and -7600?\nAnswer: -9872400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - 4*q**2 + 19*q + 3. Let w(u) = -u**3 + u**2 - 1. Calculate o(k) + 3*w(k).\nAnswer: k**3 - k**2 + 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 + 5*d - 1. Let c be m(4). Find the common denominator of -101\/14 and (-4 + c)*(-1)\/(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let o(y) = y**3 + 6*y**2 + 6*y + 6. Let b be o(-5). Let s be 4\/b*(-4)\/(-8). Let i(m) = 0*m**2 - 6*m**2 - m**s + 6*m**2. What is f(i(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 33638920*m + 56578846938320 = 0. What is m?\nAnswer: 3363892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 12 = -k, -2 - 1 = -3*v - 4*k. Let a be ((-5)\/v)\/(4\/60). What is the greatest common divisor of 25 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+44.1\nAnswer: 44.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23 - -19)*(-2 + (-18)\/4). Solve 4*o - 5*g + 23 = -10, 3*o - 4*g + z = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.024 (b) -291 (c) 0 (d) 2 (e) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l + 9. Let a(o) = -33*o + 29. Let g(s) = 2*a(s) - 7*j(s). Calculate g(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*b + 440*b - 3960764 = 0. Is b a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 2.1. Let n = 0.6 + f. Let x = 335 - 1674\/5. Which is the biggest value? (a) -5 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 times -0.2?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*z = -2*o - 13, -2*z = 3*o + 5. What are the prime factors of -1 - -2 - (o + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -4 + 5)\/(24\/64). Suppose -q - 385 = -z*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -10. Suppose 0 = 2*h - 6, 2*h - 21 = u - c*u. Suppose u*o + 61 = 241. What is o rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469562.\nAnswer: 2, 234781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3994*s + 51923. Determine f(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27a29c + 4?\nAnswer: 27a2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 4*t + 10 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 717081809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 7178207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:35 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-64.\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 322712*o**2 + 487501180*o + 182421176800.\nAnswer: -4*(o - 82168)*(o + 745)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avavvvavvvvvvvvvvvva. Give prob of sequence vvv.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 326.\nAnswer: -53\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -1967b199?\nAnswer: -1967b194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/36 + (-4)\/12. What is the closest to -0.1 in 44, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29313 in 1, 6\/85, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -1238?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from oezexzcx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122632523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-2))\/15 + (-6)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i, i = 3*y - i + 15. Suppose -824 = -2*v + 5*s, -5*v - 430 + 2544 = s. Let b(t) = -v*t - 8 + 848*t - 427*t. Determine b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131124 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 31 + -18 + -2 + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -344 smaller than 276476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 483 = 5*u + 5*a, 0 = -5*u + 3*a + 576. What is the smallest common multiple of u and 65?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 3. Let q be 3 + (13\/(-26) - (-11)\/(-2)). What is c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 504\/(-3696)*11\/(-3)*-54?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t + 3. Let q be z(0). Suppose 0 = -4*o - 3*h + 620, q*h + 66 = o - 104. Suppose 0 = -8*b + 90 + o. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15526809\/4 != 3881702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 40 = 22*v - 17*v, -4*k - 32 = 3*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - t**3 - 2*t**3 + (2 - 2 - t**3)*(3 - 1 - 4) + 2*t**3 + t**3 - t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -477*a + 473*a + b, -7*a = 2*b - 71 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 + 18*x - 1. Determine s(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -15, g + 0*g + 54 = -4*u. Let b be 2\/8 - (399\/12 + 1). Let d = g - b. Is 3\/34 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71987358 times 0.1\nAnswer: 7198735.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3342 by -1114.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(468)*-5.\nAnswer: -150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - (-3756)\/48. Suppose -4*n + 7*n = s. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1 - 12\/(-2). Solve 0 = 5*m + 3*o + 16, m + o = x*o + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f - 5 = -5*x - 68*f - 15, 0 = -6*f + 4*f + 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9153*f + 9249*f - 3456 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21449851?\nAnswer: 21449851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-50930)\/1386 - -37 - -2*(-1)\/14 and ((-7)\/13 + 1)*9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zziiszsszsszsiizz. Give prob of picking 1 s, 2 z, and 1 i.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.36 + -0.06. Let n = -1.3 + z. Is n at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 26*m**2 - 3419*m + 565. What is g(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 346*g - 1. Let a(j) = -1138*j + 1. Determine k(a(n)).\nAnswer: 1295044*n**2 + 391472*n - 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4516 - 129 = 5*h + 4*o, -3*h + 2643 = -3*o. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14*17)\/(((-522)\/696)\/((-42)\/(-8)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -90. Let b be 65\/f + (-4)\/22. Let p(y) = 1 - 4*y + 0*y - 4*y. What is p(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:35 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5 + 162*j**4 + 3648*j**3 + 14440*j**2 = 0.\nAnswer: -38, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ca8 (base 13) in base 12?\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 x when three letters picked without replacement from znggggxzzgcgggzzxzgz.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:49 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2582 and -231054852?\nAnswer: 231052270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 212.64621 to zero dps.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -2 - (-122 + 25 + 45).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225377222.\nAnswer: 2, 7, 16098373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4035676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(4 + -8) - -3. Suppose 4*n - 174 = i*s, -n - s + 26 = -5*s. Let l = 132 + -63. Calculate the greatest common divisor of n and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30285*r**5*s**2 + 3*r**3*s**3 - 14*r**2*s**3 - 39*r**2 - 26*s wrt r?\nAnswer: -1817100*r**2*s**2 + 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 124. Let r = i + -8. Let t = 42 - r. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2795*t**2 + 3*t - 3. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000442158 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 5. Let f be 5 - 0*(-1)\/a. Suppose 3*v + 2*q + 3*q = -15, -f*q - 15 = 4*v. Solve 6 = 5*d + o, -2*d + 3 = -v*o + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-96)\/(-40))\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 8 = -16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000915 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 81*i**3 - 11*i**2 + 63*i - 13. Let k(g) = 41*g**3 - 5*g**2 + 31*g - 6. Let a(t) = 7*k(t) - 3*q(t). Find the second derivative of a(n) wrt n.\nAnswer: 264*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43353 divided by 7019?\nAnswer: -43353\/7019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02237 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47375 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-354)\/(-5133) - 742\/3190)\/(3\/(-20))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 153461?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 226? (a) -6 (b) 3 (c) 5\/2 (d) 4 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 0*i**2 - 17*i**2 - 8*i**2 as o + x*i + z*i**2 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**18)**(-1\/9) assuming t is positive.\nAnswer: t**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036728 divided by 6776?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -123, -172, -203, -210, -187, -128, -27?\n\"Answer: p**3 - 68*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -61. Sort v, 1, 5, 4 in decreasing order.\nAnswer: 5, 4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(5) + (sqrt(125)*2 - sqrt(125)).\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -452*q**3 - 7*q**2 + 11*q - 24. Let n be g(9). Round n to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/20 and 72\/935?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 14. Let n be v(6). Let i(b) = -3*b**3 - 1. Let w be i(n). Let x = -25 + w. Put 4, -5, x in decreasing order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i - 6. Let v(n) = -n**2 - 62*n + 24. Determine 9*u(m) + 2*v(m).\nAnswer: -2*m**2 + 11*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 55*j + 64. Determine r(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288470, -288389, -288318, -288263, -288230, -288225, -288254?\nAnswer: -288323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237875575?\nAnswer: 5, 7, 521, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1061.748 millilitres?\nAnswer: 1.061748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, u: 4, y: 10}. Give prob of sequence ypu.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -3 + 0*y**2 + 0*y**3 + 0*y**4 + 0*y**5 - 2*y + 0*y**6 - 1\/147*y**7. Let m(k) be the first derivative of g(k). Factor m(q).\nAnswer: -2*q**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n + 20. Let k be d(0). Is k >= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 3. Let k be c(-2). Solve 2*z**2 - z**k + 2*z**3 + z**3 + 0*z**2 = 0 for z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 43. Let c(g) = 5*g + 5. Let h be c(t). Let p = -22 + h. Solve -5*i + 5*o = -p*i + 30, 0 = -i + 3*o - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*6\/45*10. Let l(g) = g**3 + g**2 - 5*g - 3. Let u(q) = -q**3 - 2*q**2 + 6*q + 4. Let h(o) = w*u(o) - 5*l(o). Determine h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, t: 2, h: 1, l: 3}. What is prob of picking 2 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42955193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -70. Calculate the least common multiple of 15 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/360 + 11*d**5\/120 + d**4\/4 - d**3\/3 - 6*d. Let u(f) be the second derivative of o(f). What is the tens digit of u(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39707350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l**5\/2 - 6639*l**4\/2 - 819165*l**3 - 68343975*l**2 - 355648125*l\/2 - 220591875\/2 = 0 for l.\nAnswer: -245, -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 14 - ((-1 - 1) + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 256.117 and 4.\nAnswer: 1024.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*d - 13 = 2*z, d = 5*z - 24. Suppose -z*c - 6 = -31. Solve i - 20 = c*i + 2*v, -4*i = -4*v - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86589161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:43 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39938516 by 4.\nAnswer: 9984629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (0 - 4\/(-16)) + (-958)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, -2, 3 in descending order.\nAnswer: 5, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-20))\/((-3)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 325352?\nAnswer: -325357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose 3*c - 30 = -c + 2*q, -o*c = -3*q - 25. Suppose 0 = n - c*r, 0 = -3*r + r + 8. Calculate the remainder when 77 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 = -c + 5*d, -4*d + 12 = 0. Solve z - 3*z = c*p - 10, 6 = 3*p - z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7286717361 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9219*a - 1540.\nAnswer: 9219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -1\/6*x**3 + 0*x**2 + x + 1. Let n(s) be the first derivative of p(s). Let t(o) = -o. What is n(t(k))?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/15)\/(14\/15) and 195\/1240 + 7*22\/(-176)?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -192*v - 771. Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3, -5*y + 24 = 35*t - 36*t. Suppose f + 2*f + 3 = 2*l, -y*f + 8 = l. Which is smaller: f or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402217000 rounded to the nearest 1000000?\nAnswer: -402000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3914 - 3877. What is the remainder when -3*456\/(-9)*(0 - -1) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 17, 41, 73?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/20*(-14)\/(-63). Let s = -329 + 333. What is the third smallest value in v, -0.04, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a + 10. Suppose h - 13 = -h - z, -a*h + 9 = -3*z. Let n(b) = -148*b - 16. Let c(g) = 207*g + 23. Let u(m) = -5*c(m) - 7*n(m). Give u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 f when four letters picked without replacement from feeyeeffeefyylwwy.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1022?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -1, 5, 4 in ascending order.\nAnswer: -1, 4, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6372 and -77\/12.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veclqceecvqxevevelq. What is prob of picking 1 c and 1 l?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*c**2 + 74 + 0*c**4 - 146*c**2 - c**4 + 73*c**2 wrt c.\nAnswer: -4*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 469db - 1c?\nAnswer: 469bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (72\/3888)\/(2\/426). Let d(a) be the second derivative of -4\/9*a**3 + 0 - 4\/3*a**2 - 17*a - x*a**4. Factor d(r).\nAnswer: -2*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/8*(-1350)\/(-3375)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, -2, 0.4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 307*l - 23553. Give j(-151).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 38.2, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(5 - 11) + 20. Let q be 4\/w - (260\/55)\/4. Which is the biggest value? (a) 2 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1375 and 3300?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004803834 to 7 dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 145*g + 5. Let j(y) = -4*y**2 - 73*y - 3. Let z(k) = -5*j(k) - 3*t(k). Let h(q) = -2*q**2. What is z(h(s))?\nAnswer: 8*s**4 + 140*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 5.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, 3, -9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Suppose -o - 2*o + 67 = 5*y, -o - x*y = -20. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 8*t**2 + 3*t - 3. What are the prime factors of x(8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3387041, 3387042, 3387043?\nAnswer: 3387044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-840)\/10920)\/((-1)\/(3*1))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(425) - (1 + sqrt(425))**2)*3 + (-1 + sqrt(425))*-4*2.\nAnswer: 5*sqrt(17) + 3842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-78)\/13)\/(-42))\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 85*c**2 - 4*c - 86*c**2 + 29*c**3 - 1 - 2*c + 5 to f*c**2 + p*c**3 + m*c + u and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27199168 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*f + 104, 39141*f + j + 68 = 39138*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 0 - 8 + 1.\nAnswer: -8*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let p(z) = 511*z**2. Give p(r(w)).\nAnswer: 2044*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/892 and 81\/178354?\nAnswer: 79545884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - (2 + -2 + (-5 - -8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 8:15 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 12 = -3*h, 12 = 3*h. Suppose -f = s - 6, -2*s + 4*f + c = 6. Factor -11 - 7*b**3 + 15*b**s - 6*b**3 - 10*b**2 + 6*b + 29.\nAnswer: 2*(b - 3)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 82*n**3 - 2*n**4 + 0*n**4 + 84*n**3 + 7*n**4 + 3*n to the form p*n + x*n**3 + f*n**2 + q + i*n**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9*0 - -3. Let x(k) be the first derivative of -2\/11*k**2 - 2\/11*k**3 + 0*k + 6\/11*k**4 - 14\/55*k**5 - g. Factor x(y).\nAnswer: -2*y*(y - 1)**2*(7*y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 849, 4, 2, 11.\nAnswer: -7, 2, 4, 11, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -8c5?\nAnswer: 8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 0*g + 0*g)*(g - 21 + 21) + (3*g**3 + 0*g**3 - g**3)*(18*g + 30*g + 62*g).\nAnswer: 222*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0*17\/(-51))\/(1*3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 2. Let k be g(-5). Let m be -2 - (4\/20 - k). Let c(w) = -w**2 - 5*w. Let x be c(-5). Is x at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prprcppcpypyppyyy. Give prob of sequence ypc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4414021422 + -4?\nAnswer: -4414021431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 3\/7 (c) 1\/3 (d) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**26\/(c\/((c**(-1\/5)*c)\/c)) assuming c is positive.\nAnswer: c**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -230.6, 3\/11.\nAnswer: -230.6, -5\/2, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/20 + 5*r**4\/4 - 13*r**3\/6 + 21*r**2\/2 - r. Suppose 11*p = 10*p + 14. Is z(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 1 (b) -0.4 (c) 0.002 (d) -40\/57 (e) 0.5 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16082\/56483 - -8\/8069. Suppose -5*k + o - 20 = 0, -4*o = -3*o. Which is the nearest to 2\/5? (a) -4\/3 (b) -0.4 (c) k (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21564971?\nAnswer: 2087, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, 4, -904 in increasing order.\nAnswer: -904, -0.4, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:34 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -2. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 19499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7119 * -0.5982\nAnswer: -4258.5858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01982 and 7634.\nAnswer: 7634.01982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171))\/sqrt(9) + 4 + 2.\nAnswer: -sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130381629?\nAnswer: 3, 7, 19, 31, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*m = 67*m + 480 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 0*t**2 + 3*t**2 + (-2*t + 7*t - 3*t)*(71*t + 70 - 70).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -7) + (0 - -2). Let b(x) = x**3 - 7*x**2 - x + 6. Let u be b(i). Is 2\/7 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30845, -61953, -93061, -124169, -155277?\nAnswer: -186385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwwdccwwwwwcwdc. What is prob of picking 1 d and 2 w?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2443, 9901, 22303, 39643, 61915, 89113, 121231?\nAnswer: 158263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 887*p + 7979. Give u(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 - 6*m. Suppose -2*a + 5*x = 3*a - 25, 3*x = 5*a - 25. Calculate h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 - 114*z**2\/5 + 2*z\/5 + 114\/5.\nAnswer: -2*(z - 1)*(z + 1)*(z + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:38 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o\/(o\/(o*(o\/(o**(-2\/41)\/o))\/o)))\/(o**(6\/11)*o*o*o\/o**(1\/12)*o) assuming o is positive.\nAnswer: o**(-7649\/5412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 4. Suppose 2*t - 5 = -1. Let d be o(t). Let g be (-2 + 15\/6)*d. Solve 5*b - 4*w - 25 = 0, -3*b = w - g + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7487 + 7488)\/(6\/(-22))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482769 is divided by 4653.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 13. Let w be p(-7). Let t = w - 2. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 12*l**3 + 504*l**2 + 2548*l + 2058.\nAnswer: -2*(l - 21)*(l + 1)*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*o - 2)*(4291*o + 4162*o - 770*o) in the form x*o**2 + g*o + m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, z: 1, o: 1, t: 1, i: 3, s: 5}. What is prob of picking 2 i and 2 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.304539 rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/(-16))\/(45\/(-1680)*-14))\/(-8)\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u + 72 = -64 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -526485 - -1074447. Let f = j + -802962. What is f rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-18)*12 - -12. Let m(h) = h**2 - 7*h - 4. Determine m(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus -35874.4?\nAnswer: 35874.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7) + 14 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d + 5*d)*(2*d - 2*d + d)*(-96 + 96 - 10*d**2).\nAnswer: -60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(((-3)\/(-9))\/(-1)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**3 - 489*i**2 + 16695*i - 130275 = 0.\nAnswer: -193, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19127489 and 5.4263494.\nAnswer: 19127494.4263494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2057)*1)**2 - ((sqrt(2057) + -1)*-5)**2.\nAnswer: -49391 + 550*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 2, d: 1, c: 2, a: 1, t: 2}. What is prob of sequence zacc?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96725 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 5*f. Let d be m(-4). Let t be ((-3)\/d)\/((-3)\/(-12)). Let y be 8\/6 + (-19)\/t. Which is the closest to -0.2? (a) 1\/3 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n + a - 53, -4*n + 5*a = -39. Suppose -5*x - 4 = -14. Suppose 0 = -10*r + 48 + x. Solve 0 = 3*z + v, z = -r*v + n - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**13*(f**(1\/4))**6 assuming f is positive.\nAnswer: f**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131203 is divided by 227.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2557751100 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321890 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-47 + (-43 - -41))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -20. Let p = 12.1 - y. Let x = 14 + -15. Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 - 1. Let s be f(-7). Let a be (-25)\/s + 12\/((-4)\/1). What is the highest common divisor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3*(-39)\/182. What is the closest to o in -0.3, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 4:01 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/5)\/(t**4*t)*(t*t\/(t\/t**(1\/2)))**(10\/17) assuming t is positive.\nAnswer: t**(-367\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 20. Let o be ((-15)\/c)\/((4\/1)\/20). Suppose 3 + 6 = o*n. Solve n*y + 6 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 2*t**4 + 0*t**4 + (t**2 - 4*t**2 + t**2)*(-5*t + 5*t - t**2) - 103*t**3 + 99*t**3 + 547 + 13*t**4 - 551.\nAnswer: 16*t**4 - 4*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28042362 and 205578?\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4520 and 316061?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/2083, 2025, 0?\nAnswer: 2025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (716 - 0)\/(21 + -25). Is y bigger than -1258\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:51 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013851 + -461.11.\nAnswer: -461.123851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 959349082 and -5?\nAnswer: -4796745410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(1008\/588 - 5\/7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4101158 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*p + 29, 0*p = -2*z - 5*p + 23. What is the smallest common multiple of 7 and 2*(-1 - z\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3\/5 - 196*r**2\/5 - 736*r\/5 - 144 = 0.\nAnswer: -45, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(12\/5)\/(m\/(m\/(((m**20\/m)\/m)\/m))*m) assuming m is positive.\nAnswer: m**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 29*k - 2640. What is s(68)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18\/4 - 7\/(-14) and 1*((-1)\/(-3) - (-16)\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -248 + 310.5. Let i = 70 - f. Let u = i + -5.5. Which is the third biggest value? (a) -2\/11 (b) u (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeu when four letters picked without replacement from {e: 14, n: 1, u: 2}?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 17*v**6\/30 - 13*v**2\/2 - 7*v - 4. Let h(a) be the first derivative of x(a). Find the first derivative of h(u) wrt u.\nAnswer: 68*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q - 12. Let d(u) = -u**3 + 3*u**2 - 4*u - 2. Let b(j) = -2*j**3 + 6*j**2 - 9*j - 4. Let a(l) = q*b(l) - 7*d(l). Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*f + 155*f + 47 - 47 + 171*f.\nAnswer: 227*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 - u + 2. Let x be s(-2). Let j = 49 + x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + (212 - 72 - 171).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 121*o**3 - 5*o**2 + 5*o + 415. Let f(z) = 61*z**3 - 3*z**2 + 3*z + 207. Let k(m) = 3*b(m) - 5*f(m). What is the first derivative of k(d) wrt d?\nAnswer: 174*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, l: 13}. Give prob of picking 3 n.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56.3 + 53. Let k = b + 0.3. Let p = 0.4 - 0.5. Put k, -1, p in decreasing order.\nAnswer: p, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 187?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from ccqzzqzzqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 3*z + 2. Let n be u(-2). Suppose 5*q + 11 - 26 = n. Solve -q*m = -y, -5*m + 3*y + 6 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 1\/7, 2\/7, -1.5 in descending order.\nAnswer: 8\/3, 2\/7, 1\/7, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttejq. Give prob of picking 1 q and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 51552 = -109*p + 52*p. Are -4296 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4832 + 48249\/10. What is the common denominator of -111\/80 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 41 = -7*v + 2*v, -5*v + 4*t = 9. Let u be (-108)\/v - 30\/(-75). Let p = -2 + u. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/2 + a**3 - 21*a**2\/2 + 9*a = 0. Calculate a.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9666 + -8070. Is 57 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*n - 3*a, -a + 5 = 7*n - 2*n. Let p = n + 5. Suppose 0 = -10*w + p*w + 335. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0763301 + 8.19\nAnswer: 9.2663301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 4, k: 3, r: 2}. What is prob of sequence er?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 174. Let g = l - 73. Suppose 2*p = -2*q + 34, 3*q + 76 - 1 = g*p. Is p < 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001232 * -514\nAnswer: -514633248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6868, 13188, 19508, 25828, 32148?\nAnswer: 38468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + -2 - (-646 - 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 443?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21*b**2 + 10*b + 11. Let n(k) = 41*k**2 + 21*k + 22. Let i(h) = 4*n(h) - 7*w(h). What are the prime factors of i(-4)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o - 2*o)*(2*o + 7*o - 2*o).\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 + 3 + -2 - -5) + 5. What is the first derivative of -c - 63*i**4 + 35*i**4 + 68*i**4 wrt i?\nAnswer: 160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m - 0. Suppose m*b = -5*c + 10, 4*c = 3*b - c + 10. Solve 3*d + 0*d = b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24400681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + 4 - (-10 + (4 - 9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91\/2 - -817\/18. Let o = 2504.5 + -2505. Which is the nearest to 7? (a) v (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 32, 42, 50, 56, 60, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:44 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*d + 81*d = 330. Calculate the highest common factor of d and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 6:53 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 1. Let d(j) = -6*j**2 - 4. Calculate -7*b(v) + 2*d(v).\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 7. Let g be a(8). Let x be g\/(-1) - (2 - 1). Let m be -7 + x + 2 - -3. Let f(h) = h**3 + 5*h**2 + 4*h - 1. Determine f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 8 = -41*b. Let p(h) = 2110002*h**3 + 4*h**2 + h - 1. Let k be p(b). What is k rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 75 = -11*i. What is the remainder when 97 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.92 + -101.92. Let h = -0.1145 + -100.5755. Let p = h - v. Round p to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22900 and 1750.\nAnswer: 801500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b**3 - 2*b**2 + 2*b - 24. Let g(y) = -y**3 - y + 1. Let p(i) = 6*g(i) - s(i). Let o(r) be the first derivative of p(r). Solve o(m) = 0 for m.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and (6\/(-8))\/((12\/(-176))\/3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = 5*r - 5*t, -485043*r = -485045*r - 2*t + 78 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f**2 - 4*f**4 + 39*f**2 + 31*f**3 - 23*f**2 + 5*f**4 in the form a*f**3 + u*f**2 + z + t*f + i*f**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 15 - 17)*(-4 + o + 4).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2 - 2*r + 10. Let w(v) = -v**2 + 1. Let o be (16\/24)\/((-4)\/(-6)). Let p(m) = o*c(m) + 2*w(m). Factor p(f).\nAnswer: -2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 40. What is the closest to 1 in 0.5, i, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*-3*sqrt(125))**2.\nAnswer: 28125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {i: 1, g: 2, b: 8, y: 1, u: 2, p: 6}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*l - 24, l + 9 = 7*t - 3*t. Suppose 4*a = -12, 129 = l*c + a - 5*a. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-45)\/6*1)\/(2\/(-2492))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 79*z + 277. Let a be d(-3). Solve a*r = 3*r - 148 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h. Let f(x) = -113*x - 2. Calculate f(t(p)).\nAnswer: 1130*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -17. Suppose k*i - 12 = 7*i. Suppose 22*n - 8 = 18*n. Put n, 0, 5, i in ascending order.\nAnswer: i, 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (8 + 13) - 7) + 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (4 + (sqrt(243) + sqrt(243)*-2 + sqrt(243))**2) - (3*-3*sqrt(243))**2) + 3*(-3*(3 + sqrt(243)) + -1).\nAnswer: -19717 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from nnnnnnnynnnnnnnnnnn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 8\/11, 5, -2, -120, 0.1 in increasing order.\nAnswer: -120, -2, 0.1, 0.5, 8\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/1 + 139 - -3. Suppose 0*i + n = i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (12 + -8 - (-20 + 24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -347 in 3\/4, 3\/5, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1432*u - 10411 + 7580 = 15785 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 410*n = 0.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**2*j**2*u**2 + i**2*j**2 - 2*i**2*j - i*j - 23*j**2*u**2 - 68*u wrt u?\nAnswer: -26*i**2*j**2 - 46*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + -117. Let t(l) = -l + n*l - l. Let h(y) = 6*y + 3. Calculate t(h(p)).\nAnswer: -12*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a17 (base 13) in base 2?\nAnswer: 1000011101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -3\/10, 9?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:32 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 2. Let r be z(0). Let c(k) = -k - 4. Let f be c(-6). Let n(v) = -4 - 4*v + f + 3. Calculate n(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -37*o - 9. Let h(y) = -y**2 + 14*y - 18. Let x be h(13). Let l be x*(1 + (-3)\/15). Is a(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35021 divided by 259\nAnswer: -5003\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 0 + 0)*(-31492 + 31492 - 190*w**2) + (w**5 + w**2 + 0*w**2 - 2*w**5)*(1 - 1 - 2) - w**5 + 1 - 1 + (-1 + 1 + 2*w**4)*(2*w + 0 + 0).\nAnswer: -565*w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 5*x**2 - 2*x**2)*(2 + 1 - 1)*(-4 - 1 - 4).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*l - 10, -69*n + 56*n - 10 = -2*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9*340\/(-153) - 5) + -13. Suppose 2\/3*f**h + 38 - 116\/3*f = 0. What is f?\nAnswer: 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 192 = -4*l, 11*b = 7*b - 4*l + 252. Which is smaller: 67 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3\/8, 1.07, -1\/4, 2.07, -2 in decreasing order.\nAnswer: 2.07, 1.07, 3\/8, -1\/4, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*o = 762*o + 155 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -978 divided by -3\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 15 = -5*v - 3, 15 = -3*v - 5*i. What is the remainder when (-355)\/(-5) + v + -6 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-693)\/(-18))*(-14)\/(-6))\/(56\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -90.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1233067 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299676, -299656, -299636, -299616?\nAnswer: -299596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 + 0.01. Let g = -6756 + 6760. What is the smallest value in t, g, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*-5*21\/(8820\/16).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a31 - -1?\nAnswer: 1a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (sqrt(2) + 5 + 0 + sqrt(2) + sqrt(6)\/(sqrt(3)*-1))*-5)**2.\nAnswer: 210*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -7. Calculate the greatest common factor of w and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x\/(((x*x**(1\/4)\/x)\/x)\/x))\/x)\/x))**(-38)*x**(-15)\/x*(x*(x**11*x)\/x)\/x assuming x is positive.\nAnswer: x**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2 - 977*d - 613 - 1097 + 872*d - 760*d = 0.\nAnswer: -171, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-2 - 6\/(-2)) - -106 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -397. Let q = 212 - m. Sort 2, q, -0.4 in decreasing order.\nAnswer: 2, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**8\/196 + 2*u**7\/735 + 19*u**6\/105 - 4*u**5\/7 - 4*u**4\/21 + 64*u**3\/21 + 6*u**2. Solve p(g) = 0 for g.\nAnswer: -4, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -43. Suppose -5*i = 3*k - j*i - 47, 0 = k + 5*i - 19. What is the derivative of k - 131*u**4 + 20 + 116*u**4 wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 p when four letters picked without replacement from {p: 2, b: 17}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2981 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958384 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 98*c**3 - 21*c**2 + 63*c - 7. List the prime factors of w(5).\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - 109. Let a = v + -53.6. What is a rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111043*j**4 - 93*j**3 + j**2 - 25082356 wrt j.\nAnswer: 2665032*j - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -55. Let z be (-8)\/y - (-4)\/22. Suppose -6*b - 102 + 36 = z. Put 0, 1, b in decreasing order.\nAnswer: 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32323130110 + 10?\nAnswer: 32323130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**46*g)\/g)\/g*(g*g**(-1\/57))\/g*g*g)\/(g**(-3\/29)*g*g\/g**(-28)) assuming g is positive.\nAnswer: g**(28243\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21917 - -21926. Solve 0 = 19*s - 20*s - f for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 184218752?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73741 + 73812.329. What is d rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a7 (base 11) to base 12.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 + 2\/6 + (-10)\/(-6) and 19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 11*r - 6. Let u be a(-10). Factor -u*x**5 + 191 - 191 + 4*x**3 - 4*x**4 + 4*x**2.\nAnswer: -4*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1057.3 + 1058. Which is the second biggest value? (a) l (b) -296\/3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/x**(4\/9))*x*x)\/x*x**14*x*x*x*x*x)\/(x**(-4))**(-3) assuming x is positive.\nAnswer: x**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -3, 6 in ascending order.\nAnswer: -11, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**6\/60 + 17*s**5\/60 - 19*s**4\/24 - s**3 - 5*s**2. Let j be r(-9). Let a = j + 14. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 6 + 1)*(-3*u**2 - u**2 + 2*u**2) + 9*u**2 + 27*u**2 + 2*u**2.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 25 = -f, f - r = 32 - 8. What is the remainder when 44 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let p(z) = 4*z**2 + 1 - 3*z**2 + 0*z**2 + v*z - 4*z. What is the units digit of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {k: 2, b: 3, l: 2, e: 1, a: 1, t: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and 41783.\nAnswer: -1378839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k + 5. Let m(c) = -c**2 - 3*c - 5. Let d(z) = 4*j(z) + 3*m(z). Let n be d(-4). Suppose 4*u = -5 + n. Solve u*h + 8 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/3606?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 50 = -6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 9*u**2 + 27*u + 81. Let k = 557 - 550. Let x(b) = -b**3 - 3*b**2 + 9*b + 27. Let w(c) = k*x(c) - 2*m(c). Factor w(j).\nAnswer: -(j - 3)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.264 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 53. Solve 2*g - b*x = 11 + 14, 3*g - 2*x = 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444579899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 339?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-75))\/((-59058)\/(-1785) - 33).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 - 988*a**3 + 4872*a**2 - 7760*a + 3872 = 0.\nAnswer: 1, 2, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.017 - -0.01788. What is i rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxbyyvxvoxyvyxv. What is prob of sequence ob?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 + 3*g**2 - g**2)*(-g - 4*g + 4*g) - 15*g**3 - 17*g**3 + 7*g**3 as i*g + b*g**3 + d*g**2 + s and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 964 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 217*w**2 - 63. Let b(p) be the third derivative of 7*p**5\/60 - p**3\/3 + 3*p**2 - 16. Let g = -567 - -630. Calculate g*b(u) - 2*l(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171847 (base 14) to base 2.\nAnswer: -11000110000001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l**2 - 19588120*l + 1865536 = 0 for l.\nAnswer: -233192, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*w**3 - 28*w**3 + 105*w**3 - 43*w**3 - 9*w - 48*w**2 to the form v*w + z*w**3 + o + n*w**2 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (105\/(-350))\/(3\/(-4)). What is the smallest value in y, -4, 1\/5, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 13*a - 979. What is the remainder when f(27) is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 - 2. List the prime factors of d.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c**3 - 10*c**3 + 18*c**3.\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 51. Let y be (-8712)\/(-15) + 0 - t\/(-10). Suppose -13*k = -4 - y. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 9*2\/6. Suppose 0 = 2*m - b*m - 13. Let n(t) = -t**3 + 5*t - 21. Is n(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2 - 4*i + 3. Let y be v(1). Suppose -39 = 4*p + 5*m, 3*p - 5*p = -3*m + 3. Let w = p - y. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 0.3, 5, -5, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 44 + 149 = -4*k, -5*g - 83 = 3*k. Let m = -14 - 10. Let h = k - m. Let x(f) = -f**2 - 5*f - 3. Give x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 125. Suppose 66 = r - 0*r. Let k = u - r. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31040 (base 10) to base 12.\nAnswer: 15b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 10. Suppose 2*t = 13 - 3, 4*t - 108 = -b*w. Let h = 10 + -3. Solve -a + 0*a - w = -4*s, s - a = h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3536800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -1, 9 in increasing order.\nAnswer: -9, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 8\/9 (c) -4\/9 (d) -4 (e) 486 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 816836 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14912 is divided by 355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*c - 101 + 1220 = 0, 3*c = 3*b - 684. Calculate the greatest common factor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2561 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from mld?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/8*1\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/15223 and 17\/481?\nAnswer: 563251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 53*y - 68. Let u be w(-25). Which is bigger: -5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0.0401 (b) 0 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63*(-3)\/(-21) + 44\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168624.\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**7\/b))\/((b\/b**(-5\/4))\/b))\/(b*b**(-1)\/b*b)**21)\/((b\/b**(1\/4))**(-2\/11)\/((b\/(b*b*b**(-2\/5)\/b*b))\/b**(2\/7))) assuming b is positive.\nAnswer: b**(-10779\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55756514.\nAnswer: 2, 11, 139, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 8*g + 7. Let y = 11 + -11. Suppose i + 8*i - 18 = y. Let j be v(i). What is the highest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855803 is divided by 50336?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12298 and 62686?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {b: 3, g: 4, k: 2, n: 9}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8912410 rounded to the nearest 100000?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 403947\/2871278 + -1\/79026. Calculate the common denominator of -40\/9 and f.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -321 - -331. Let y(j) = -j**3 + 2*j**2 - j - 2. Let f be y(2). Let s = 8 + f. What is the remainder when n is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226731876?\nAnswer: 2, 3, 7, 61, 44249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-160)\/30)*2\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(0 - -1)*-4. Let k be d\/20 + (-1)\/5. Suppose 2*l + 2*u + 52 = k*l, 5*l - 224 = u. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2041127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -252 and 0.0763.\nAnswer: -19.2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1331, 2657, 3979, 5297?\nAnswer: 6611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 14. Let f be 6\/a + (-7)\/9. Let v(u) = u. Let d(p) = 9*p + 1. Let n(y) = d(y) - 5*v(y). Give n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-12)\/x)\/x)\/x)\/x**(-2\/59)*x\/(((x\/(x\/(((x*x**(-2\/3))\/x*x)\/x)))\/x*x*x)\/x)*(x**(-1\/5)\/x*x)\/x)**(1\/13) assuming x is positive.\nAnswer: x**(-12832\/11505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 83470.8ug?\nAnswer: 83.4708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45566*n**3 - 4323*n**2 + 63595420 wrt n?\nAnswer: 136698*n**2 - 8646*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35558 = 83*z + 35060 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s**(-2\/7)*(s**(-1))**(-20\/9))\/(((s**6\/s)\/(s*s**3\/s))\/((s*s**5)\/s*s**(-4\/7))) assuming s is positive.\nAnswer: s**(401\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(-9)\/18?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - sqrt(204)*1*3) - sqrt(204))*1)\/(sqrt(36)\/(sqrt(3)*2 - sqrt(3)) - 3*-2*sqrt(12)).\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 22*q**2 - 50*q - 32. Let x be t(-24). Suppose -5*m = -h - x, -5*h = -3*h - 2*m. Let n be 0 + (1 + -13)\/h. Which is greater: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2400 and 192?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2320332223 - -1?\nAnswer: -2320332222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 177. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 332 (b) 0 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 110914551?\nAnswer: 110914551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/32 - (10 + (-2655)\/240). Let i(r) = r**3 - r**2 + 1. Let h(j) = -2*j**3 - 3*j**2 + 3. Determine u*h(t) - 3*i(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 2*h - 3. Let k be t(-3). Solve -2*a + k*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62086.\nAnswer: 2, 37, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 30 = 5*w. Suppose 4 = 2*s - w. Sort 2, -3, s in decreasing order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -3 + -1 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. Suppose 5*b - c*b = 30. Let f = 30 + b. Solve 0 = -f*g + g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose -4*b + 5*u = 2, -3*u + 13 = q*b + 3. Solve c**2 + 5 + b*c - 5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*8\/(-6). Let s be (-9)\/(-6)*(-2)\/(-3). Put s, v, -2 in decreasing order.\nAnswer: v, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110 (base 2) to base 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1270 divided by 2.\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332585 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnmanlalnmmnmnnnr. Give prob of sequence lml.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d + 0 - 224 = -52*d. Let b = -2 - -3. What is the smallest common multiple of d and (1\/2)\/(b\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - 2) + (0 - -17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8761214 divided by -113782.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36037206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1003, 3951, 8843, 15661, 24387, 35003, 47491, 61833?\n\"Answer: -3*o**3 + 990*o**2 - o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1943*c + 224*c - 1054*c + 308*c)*(8*c + 4*c**2 - 8*c) in the form t*c + z*c**3 + n + s*c**2 and give z.\nAnswer: -9860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*c + 20, -94*c + 3*a = -92*c - 8. Solve -11 = -3*r + 4*o, 38*r - 36*r + c*o = 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*v + 7238 - 5413 = -10253 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*x + 10*x + 216. Let v(m) = m - 12. Calculate v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -104 and 813.99709.\nAnswer: 709.99709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 81 = 91, -35 = -4*f - 3*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45277 - 1901477\/42. Let z = 10\/233 + 5285\/12582. Calculate the common denominator of z and d.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 3*a**5 - a**5 + (3*a**4 + 0*a**4 - 5*a**4)*(1 - 1 - a) + 66*a**3 + 15*a**5 - 66*a**3.\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23829 and 2165619?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 5. Let a(h) = 1. Let z(q) = 5*a(q) - k(q). Let n(s) = 786*s + 73. Let o(p) = -3877*p - 360. Let r(t) = 74*n(t) + 15*o(t). What is r(z(u))?\nAnswer: -18*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(108)\/sqrt(441)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 570158*o**4 - 19*o**3 - 3*o**2 - 33170*o + 1931.\nAnswer: 13683792*o - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 18. Suppose -3*t + 60 = g. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = 8. Let s = q - -30. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1803, -5083, -8363, -11643?\nAnswer: -14923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -39*y - 4*z - 247, -5 = 555*y - 556*y + 4*z for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 21*a + 64 = -19*a, -22*a = -3*g - 584 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9348 rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 820 and 113324?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299077118, 299077117, 299077116, 299077115?\nAnswer: 299077114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2132 and -81\/328.\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3361898223.\nAnswer: 3, 17, 353, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 10*v + 32. Let d be v*(-27)\/(-36) - (1 + 0). Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-5))\/(29\/(-1267445)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {f: 1, b: 3, r: 6, m: 4, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*f + 18. Is f\/(-14) + 1334\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7714 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, l: 2, u: 1, k: 2, f: 1, p: 6}. What is prob of picking 2 a and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -33, -70, -121?\n\"Answer: -7*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-713) - (-142)\/(-1633)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 + -7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 6*u**2 + 5*u + 5. Let n be r(5). Let x be (-4)\/(-10)*60\/4. Solve -n*i + 3*y + 2*y + 15 = 0, 0 = -3*y - x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 512787431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 7*m - 306. Suppose 0*q - m = -q. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*9\/(-6))\/(684\/8).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 3*m - 595, 459 = 4*h + m. Suppose -5*c - 41 = -h. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 2*p**2 + 282 - 269 - 6*p. Let g be o(3). Solve -3*b + 5*b = -2*z - g, 0 = -b + 5*z + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00390856 to four decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.53 and -41.10879979.\nAnswer: -26.57879979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*(-3893)\/458\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-684)\/108)\/(((-32)\/(-6))\/(-4))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 3 - 1) + (-1547)\/(-13) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgnnnss. Give prob of sequence sn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 157986100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 3 + (-12 - -54)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(-20)\/(-50)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from rnvruqz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 430*x**2 - 299*x + 1576. What is g(144)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001 - 110100011111101110110?\nAnswer: -110100100000001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -279*h + 18. Let z(k) = 6*k + 4. Calculate z(c(d)).\nAnswer: -1674*d + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1674 + 1920. Calculate the remainder when l is divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*p**4 - 192\/7*p**2 + 512\/7*p - 512\/7 + 32\/7*p**3.\nAnswer: -2*(p - 4)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 17*r + 191. Let u be s(-11). Solve 3*t + 3*d + 9 = 0, -11 = u*t - 0*d + 3*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1901*l + 673. Let z(o) = 3799*o - 1338. Let f(r) = 7*j(r) + 3*z(r). Find the first derivative of f(t) wrt t.\nAnswer: -1910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 11*b + 13. Let s be y(-11). Let i = -16 + s. What is the common denominator of 58\/3 and 13 + 2\/(8\/i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let n(g) = 83*g**2 - 3. Calculate n(o(z)).\nAnswer: 83*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, -1\/9, -1, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 278 and 16.892.\nAnswer: 294.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10491 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 0.0844?\nAnswer: 0.2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 10:29 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -482 + 524.46. Round c to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 3, m: 4}. Give prob of sequence jm.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -3, 3, 1 in ascending order.\nAnswer: -154, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2750.599 milligrams to tonnes.\nAnswer: 0.000002750599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 2*j**2 + j + 3. Let r be d(0). Suppose b - 22 = 14*y - 15*y, -r*y = 2*b - 45. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/60 and 3\/5 + (-115346)\/(-19140) + -7.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84*b + 112*b + b**2 + b**2 + (-b + 4 - 4)*(-b + b + 4*b).\nAnswer: -2*b**2 + 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, k: 1, h: 3, c: 5}. What is prob of sequence ccc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81, 295, 657, 1167, 1825, 2631?\n\"Answer: 74*n**2 - 8*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*b = 15400498, 2*z + 2*b + 9101939 = -1165059. What is z rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -34*z + 105. Let r(v) = -v**2 - 3*v + 1. Let a be r(-2). Let m be j(a). Solve q - m + 2 = b, 0 = -3*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869 times -9831?\nAnswer: -28205139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3983317 and 151\/10218.\nAnswer: 23899902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 639444.7 millimeters?\nAnswer: 0.6394447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -13, 156, -7, 3 in ascending order.\nAnswer: -13, -7, 3, 5, 8, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 314341249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/12*3*(-17)\/44625*-7.\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70\/3 in 8\/3, -4, 1\/2, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78037016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19690987517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 - z + 1. Let v be i(1). Let c(q) = 0*q**2 - 2 - 7*q - 4*q**2 + v*q**2. What are the prime factors of c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let j(b) = 7*b + 11. Let p(f) = 6*c(f) + j(f). Let a be p(-8). Suppose 4*q = 0, -g + 60 = 4*g - a*q. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 507, 473, 355, 111, -301, -923, -1797?\n\"Answer: -7*w**3 + 15*w + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2\/(((v**(-1\/12)\/v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -378, 4.3, 0.5, 4, -2\/9, 3\/4 in decreasing order.\nAnswer: 4.3, 4, 3\/4, 0.5, -2\/9, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36837, -36822, -36799, -36768, -36729, -36682?\nAnswer: -36627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(3 - (-14)\/(-4)). Suppose 0 = -7*i + x*i + 545. What is i rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25211.73 millilitres to litres.\nAnswer: 25.21173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -78380000 to the nearest one million.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/4 + 8*k**3\/3 - 7*k**2\/2 + k + 38. Suppose 4*b = 3*d - 21, -22 = -2*d + 2*b - 8. What is y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 7. Let c = -3 - t. Suppose s + 11 = 3*x, -s + 2*x - 6 + 0 = 0. What is the nearest to c in 3, 0.2, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34851 + -34849. Let n be (-15)\/12 + (-1)\/(-4). Let b = n - -4. Solve -f*u = b*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4233, -8469, -12705, -16941?\nAnswer: -21177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*h*y**2*z**3 - 6*h*y*z**2 - 6*h*z**2 - h - 3*y**2*z**3 + y*z**3 wrt y.\nAnswer: -58*h*z**3 - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 17136 + 15651558*m - 15651558*m in the form d + p*m**2 + g*m and give d.\nAnswer: -17136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:43 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + -7.6. Let j be 35\/360*6 + 2\/(-24). What is the second biggest value in j, -2, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4\/4 + 5285*u**3 - 23206815*u**2\/4 + 451214260*u - 445417840 = 0. Calculate u.\nAnswer: 1, 83, 2072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**5 + 207*q**4 - 1259*q**3 + 2629*q**2 - 2334*q + 752 = 0.\nAnswer: -47, 1, 8\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456612234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7224 + 12367. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46*l**2*v + 1171*l**2*z + 4428*l**2 + 90994*v*z wrt v?\nAnswer: 46*l**2 + 90994*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*v**2 - 488*v - 832.\nAnswer: -4*(v + 2)*(9*v + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:51 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -v + 4*o, 73*v + 46 = 74*v - 8*o. Put 42, -50, v in descending order.\nAnswer: 42, v, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1, -16.5 in descending order.\nAnswer: -2\/5, -1, -16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 + 833985*s**2 + 5838140*s = 0 for s.\nAnswer: -7, 0, 166804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, v: 2, m: 5, y: 3}. What is prob of picking 2 b and 1 v?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 11*n**3 + 12*n**3 - 9*n - 3 - 2 - 22*n**3. Let g be f(5). Factor g*x - 2\/11*x**2 + 2\/11.\nAnswer: -2*(x - 1)*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i**3 + 0*i)*(-397*i**2 - 259*i**2 + 146*i**2) + (1 + 4 - 4)*(-2*i**4 - i**5 + 2*i**4).\nAnswer: -1021*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1618615385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5743605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/364*-21*60\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1816*o + 12958*o + 493402 = -253112 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**3 - j**3 + 4*j**3)*(-50 + 9 + 18)*(7*j - 2*j + 7 - 11) to the form m*j + l + q*j**4 + p*j**2 + w*j**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12202315131 + 12?\nAnswer: 12202315143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3028 and 116382694.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 17*c = 0. Suppose c = -14*t + 11*t + 375. Let i = 179 - t. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -14769.91.\nAnswer: 88619.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**7\/21 - v**6\/15 + 89*v**5\/20 - 93*v**4\/4 - v**3\/2 + 3138*v. Find the third derivative of m(t) wrt t.\nAnswer: 120*t**2 - 48*t + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -41) + -9 + -39 + 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*c + 27. Solve -5*x - c = -4*i, -5*i = -x - 2*x - 27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -7*y - 4*n - 10, 3*n = y - 1. Let x = 230266\/2373 + 343\/339. Let o = 292\/3 - x. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.5 (b) 1 (c) -2 (d) 1\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3412515 to the nearest 1000.\nAnswer: -3413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -165.64?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_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: What is 67 minutes after 7:45 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 45*o - 26 - 421*o - 121*o to x*o + n and give x.\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 68*k - 365. What is n(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*t - 8. Suppose 0 = 2*c - 21 - 5. Let a = c - 8. Solve a*w = r - t*r + 3, -r - w + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6 + 4*o - 5 - 11*o - 1 + 0. Let s(l) = -l**2 - l + 1. Let q(i) = g(i) + 2*s(i). What is q(-7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85347, -681812, -2300521, -5452596, -10649159, -18401332?\n\"Answer: -85187*t**3 - 156*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a**2 + 3*a)*(1870261*a**2 - 1870261*a**2 + 702*a**3).\nAnswer: 702*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 7*i**2 - 5*i + 3. Let n(x) = -x**3 - 5*x**2 - x + 3. Let a be n(-5). List the prime factors of o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (434452\/44723)\/(18\/(-7)).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2862*j**2 + 11*j - 2. Let c be k(-2). Suppose -c = -13*b + 4215. Does 44 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t - 7. Let l(u) = 6*u - 3. Let d(h) = 7*l(h) - 3*z(h). Let q(k) = -20*k. Give d(q(y)).\nAnswer: -60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/10)\/((231\/10670)\/(-21))?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9334 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chddcdcdhdhdcdhd. Give prob of picking 1 h, 2 d, and 1 c.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1942520 (base 11) in base 9?\nAnswer: -6153226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = w + 2*h - 28, h - 32 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:35 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5445 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + (13 - 60) + 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/24 + 185\/30. Which is greater: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 45?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 2*u)*(-3 + 1 + 0) + 37*u + 3*u - 12*u)*(-3 + 3 + 2) + (u - 2*u + 3*u)*(-1 - 2 + 5) - 3*u + 5*u - u as f + x*u and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**2*h*h**(-1\/19)*(h\/(h**(-5)\/h))**(-6) assuming h is positive.\nAnswer: h**(-780\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 22 = -6*k + 14, 2*y + 116 = 41*k - 54 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b**(-14)\/b))\/b)\/(b*b**0*b))\/(b**(-11)\/(b**(-13)*b)))**(-5\/6) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-21)*-18 + 17. Solve 0 = -2*t - 10, -i*t = -671*y + 666*y + 30 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 38 = 19. Is y greater than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 13*l**2 + l - 17. Calculate j(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 29*f**2 - 58*f - 59. Let u be o(-28). Let k = u - 346. List the prime factors of k.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10234.000005329 + -10234. Round y to seven decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005359 to four dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 m when four letters picked without replacement from {x: 1, k: 2, z: 4, o: 3, m: 4}?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -445, -852, -1275, -1720, -2193, -2700, -3247?\nAnswer: -3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210221001022 + 12?\nAnswer: 210221001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-22)*((n**(-2\/9)\/n)\/n)\/n)**21 assuming n is positive.\nAnswer: n**(-1589\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*a**3 + 90*a**3 + 2589*a**3 + 335*a**3 + 2779*a**3.\nAnswer: 5890*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**3))**(-2\/5)*(a**1\/a)\/(a**(-7)\/a) assuming a is positive.\nAnswer: a**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28693 + 28692. Which is the nearest to j? (a) -4 (b) 1\/6 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.5, -9\/5, -2, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = d - 196, -2*d = -5*k + 14 - 481. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = 3*w, 2*w = 3*j - 6*j + 2. Let y be 56 - -2*(-3 + j). What is the highest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86115 (base 14) in base 4?\nAnswer: -1033012213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 60*j**3 + 55*j**3 + 467*j - 109*j**3 - 467*j.\nAnswer: 6*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136 + 138. Suppose -u*k - 7 = -2*q + 9, -3*q + k + 18 = 0. Solve -b = 2*b - 9, -q*y - 1 = -2*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 32. Let u be z(18). Suppose u*l - 94 = m + 319, 0 = -3*l + 3*m + 303. Suppose 2*b = l - 20. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 11:19 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/4 + 35839*b\/4 + 655394 = 0.\nAnswer: -73, 35912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -12, 5*a = 3*d + 12316 - 3660. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864708?\nAnswer: 2, 269, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3481\/2 + 1\/2*x**2 + 59*x = 0. Calculate x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4464972245 to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {b: 4, g: 1, h: 4, o: 1, e: 3}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10*l. Differentiate -9*j - j + 11 + l*j with respect to j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p + p - 664 = 233. Let h(f) be the first derivative of -1\/12*f**3 + 1\/32*f**4 + 0*f + 0*f**2 + p. Factor h(z).\nAnswer: z**2*(z - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 0*h**2 - 3*h**2 + (7*h + 32*h + 56*h)*(-13*h + 3*h + 4*h).\nAnswer: -572*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 17. Let j = q + 12. Let c be ((-3)\/15)\/((-8)\/(-60)*-6). What is the second smallest value in j, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072\/1340 - (-132)\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2*l + 0*l)*(-7 + 0 + 3)*(-3 + 2 + 2)*(2 - 4 + 0).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -119366.03 rounded to the nearest 1000?\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2773892516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 196035196 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -137506?\nAnswer: -137501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 131614 = 13*o + 20*o. What is the lowest common multiple of o and 10?\nAnswer: 38710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*d + 1 - 2 = 3*m, -6*d = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686 (base 16) in base 14?\nAnswer: -215c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2077 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 3*w - 21. Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8 - 4. What is the units digit of c\/(-4) + (-303)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 734243319 divided by -3\nAnswer: -244747773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 25 (b) 1\/3 (c) 2\/15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/9 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 392.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (2458\/(-732) - (-56)\/168). Is 0 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/45)\/(2\/(-10)). Find the third derivative of l**4 + l**2 + 0 - 2*l**3 + 0*l**3 + q + 2 wrt l.\nAnswer: 24*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102712683?\nAnswer: 3, 229, 307, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 23 - 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2 + -2)*1. Let o(m) = -m**2 + 8*m - 2. What is the remainder when 3 - s\/(2\/50) is divided by o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a**2 - 2 + 2)*(a**2 + a - a) - 358*a**2 + 358*a**2 - 27*a**4)*(-1 - 3 + 5)*(-38 + 7 + 18).\nAnswer: 325*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124678120 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b**2 + b + (30*b + 8 - 8)*(19*b - 538 + 538).\nAnswer: 569*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5571667602 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (6 + (-6 - -1) + -1)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b + 118*b = -41*b + 86*b. Solve 16*n + 41 - 57 = b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 13 (b) 1\/5 (c) -20196 (d) 1\/3 (e) 3\/7 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(52) + sqrt(52)*4*-6)**2 + 0 - (-5*(-2*sqrt(13) + sqrt(13)) - sqrt(78)\/(sqrt(42)\/sqrt(7)))**2.\nAnswer: 24960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10211 + -10361. Put 8, -2, -3, v in descending order.\nAnswer: 8, -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1101.004124 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 194315?\nAnswer: 194318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*v + 16 = 0, -6*j - 9 = -3*j - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**3 - 6*a**2 - 8*a + 3. Let u(z) = -z**3 + z**2 + z. Let r(s) = -l(s) - 5*u(s). Let v be r(2). What are the prime factors of v\/(53\/18 + -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 10 - -7) + -8 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -291, -809, -1803, -3429, -5843?\n\"Answer: -26*q**3 - 4*q**2 - 4*q - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 6, 60*p - 3*w + 15 = 63*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 649*y. Let w(j) = -118*j + 1. Calculate u(w(f)).\nAnswer: -76582*f + 649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s + 6*s - 17*s - 2*s - 3*s + 3*s + (5 - 3 - 4)*(-3 + 3 - s) + 0*s + 2*s - 3*s in the form m + g*s and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4 and 59\/4472.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 4*g - 3. Let t be a(0). What is the closest to 3 in t, -2\/3, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbff when four letters picked without replacement from fbxfbhxfxdobdfb?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 8*w - 14. Let j be r(-8). Let a = -177 + 262. Let h = a - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-842)\/8 - (-8)\/32. Let p be 7\/(s\/6)*-5. Suppose -i = -0 - 2, p*g - 8 = -i. Solve 0 = l - g - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 24*f**2 - 6*f - 6. Calculate the remainder when 119 is divided by c(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 709648605 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = h + 3, 7412*h = -5*p + 7413*h - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 930396 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*a - 239*a - 31562 = -264*a + 360*a for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-2)\/(-9)*21. Let y be (2\/v)\/((-3)\/12). Let s be 5 + 4 + 301\/(-35). Which is the nearest to y? (a) -0.1 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 18401988.\nAnswer: 55205964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000215979602 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23079 + 23081. Solve -t + 2 = -b*x, 4*t + 46*x - 14 = 48*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81358769 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/6096 and -71\/16832072?\nAnswer: 100992432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 22*g**2 - 70*g - 111. Let d be a(25). Solve 849 - 779 = d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k. Let n(i) = 3158*i - 1437. Determine y(n(x)).\nAnswer: -9474*x + 4311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/222*((-170)\/20)\/17.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-1 - -1) + 0 + 78 + -77?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 753055830 to the nearest one hundred thousand.\nAnswer: 753100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 423*s - 341 wrt s?\nAnswer: 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s - 8 = 0. Let b = s + -1. What is the units digit of 1\/b + (-25)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 384\/5 + -77. Let g = 138 + -135.02. Let t = 0.02 + g. Sort o, t, 2.\nAnswer: o, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzu when three letters picked without replacement from {v: 2, z: 2, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 20102210120100?\nAnswer: -20102210120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 4*d - 8 - 25, 2*b = -2*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 53 + 0.1073\nAnswer: 53.1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(1\/3)\/y*y)\/y)\/(y*y*y*y*y**(2\/7)\/y*y))\/(y**(3\/5)*y*y\/(y\/(y*y*y**5*y))) assuming y is positive.\nAnswer: y**(-1423\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 198*j - 1. Let p(k) = -2*k. Determine g(s) + p(s).\nAnswer: 2*s**2 - 200*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2220 in 11, 2, 1\/6, 10\/29?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 19 - (6 + 6 + (1 - 4))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1008 - -1237. Suppose -3*t = -15*v + 10*v - 115, -5*t - v = -r. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 7:19 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 3:12 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -15. Let t = m + 5. Put 2\/5, t, -4 in descending order.\nAnswer: 2\/5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.8 and 7800?\nAnswer: 201240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/12 + 7*o**3\/2 - 5*o**2. Let z be g(9). Sort z, 20, 5 in descending order.\nAnswer: 20, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 5, -2*p + 4*v = -7*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -76. Solve 1 = l*f + o, -o = 5*f - f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5275374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 - (141 - 142)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*j**2*k**2*v**2 - 2*j**2*k**2 - 2*j**2*v + 3161*j*k**2*v - 16*k**2*v**2 - 16*k*v**2 - 2*k*v wrt v?\nAnswer: 104*j**2*k**2 - 32*k**2 - 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.82 - -31.82001283. Round b to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t + t + 5*u - 12, 5*t + 6*u = 6*t + 14*u - 4*u - 11 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7936 - 7936 + 56*o)*(-13 + 0 + 1 + 0).\nAnswer: -672*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -366709*x**2 - 219066?\nAnswer: -733418*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666, 2589, 5782, 10239, 15954, 22921, 31134, 40587?\nAnswer: 51274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -918 greater than or equal to -919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + sqrt(144) + ((sqrt(144) - sqrt(144)*2) + sqrt(144))*-1 + sqrt(144))\/(-3*sqrt(12)\/sqrt(54)).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - m + 1\/2*m**2.\nAnswer: (m - 3)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 301 + 3*y - 603 - y**2 + 301 + 3*y**3 in the form d*y**3 + f*y + j + r*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17))**(-35)*l**(-2\/11)\/((l**(-12\/7)\/l*l)\/l*l) assuming l is positive.\nAnswer: l**(-3384\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:15 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 = -2*m. Suppose v - m - 2 = 0. Solve -3*g = -4*g - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5\/13 + 20*l**4\/13 + 48*l**3\/13 + 4*l**2\/13 - 46*l\/13 - 24\/13 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-163)\/((-53790)\/(-1056))*(-75)\/(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5166, -10278, -15386, -20490, -25590?\nAnswer: -30686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2347.4?\nAnswer: -2348.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4520260 (base 9) to base 16.\nAnswer: 25252b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -11, -2, 2\/7, 0.17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2533?\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 187 = 453. Suppose -3*y = -c + 39, -3*y - 17 - 55 = -2*c. What is the remainder when f is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -228889373 and -0.3.\nAnswer: 68666811.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24201457 (base 8) in base 13?\nAnswer: 113b775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130*w + 0*w**2 + 2*w**4 + 795 + w**4 + 0*w**2 + 137*w wrt w?\nAnswer: 12*w**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + -2 + sqrt(5) + -5 + -4).\nAnswer: -8 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -121, -415, -903, -1585?\n\"Answer: -97*g**2 - 3*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 231 and 20?\nAnswer: 4620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104959\/21 + -4993. Is 6 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 55, 571*g - 569*g - 32 = -5*o. Factor 11*l + 121\/2 + 1\/2*l**o.\nAnswer: (l + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**4\/24 - 2*n**3\/3 + n**2\/2 + 1. Let w(o) be the second derivative of i(o). Give w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-8) - 25\/(-10). Let f be 2\/(d\/3) + 2. Is 3 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -24. Let a be j\/6*8\/(-10). Let k(m) be the first derivative of -m**3\/3 + m**2\/2 + 2. Give k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 415000571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:49 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. What is the second derivative of -5*w**3 + 5*w**3 + w**4 + w - 4*w**u wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*u + 2*u - 150, -u + 24 = b. Suppose 4*z - 4*j + j - 130 = 0, z + 2*j = u. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 26 = 4*l. Suppose 0 = -2*g - y - l, g + 14 = 4*y + 1. Let k be (2\/(-34))\/(g\/(-18)). Put k, 4, 3 in decreasing order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2800 = 12*y + 944. Is y <= -311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + n**2 + 5 - n**2 + n**2. Let c(v) = -v + 7. Let k be c(0). Let y = k - 3. What is g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053868 times 389?\nAnswer: -20.954652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1025099 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -7*s**2\/2 - s + 144. Let b(y) = y. Calculate -6*b(g) - w(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845, 929, 1121, 1463, 1997, 2765, 3809?\nAnswer: 5171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -17. Solve 4*z + 2*y = -2, 2*z - b = -3*z - y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from lccbnelccc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3dbd3 + 379?\nAnswer: -3d858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -25*g. Let j(f) = f**2 + 4. Determine j(s(o)).\nAnswer: 625*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.6. Let f be (42\/9 - 2)*-3. Let z = f - -23\/3. Which is the nearest to 1\/5? (a) z (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 47, 82, 153, 272?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 100011110011101?\nAnswer: 100011110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(308)\/(sqrt(7) + sqrt(49)\/sqrt(7)))\/((-1*sqrt(4) + sqrt(4))*4 + sqrt(4)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-25)*s)**(3\/2)*s*s\/(s*s\/s**7)*s*s*s*s\/(s\/s**(1\/11)) assuming s is positive.\nAnswer: s**(1113\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.03827953?\nAnswer: -0.015311812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932584913?\nAnswer: 13, 71737301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 z when three letters picked without replacement from zzzgzghyzyggzz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*x + 6 = -21, 0 = 2*p - x - 81. What is the remainder when p is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -7*g**6\/120 - g**5\/60 + g**3\/6 - 3*g**2. Let y be b(-1). Let c = y + 3. 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: Let s(z) = z - 2. Let r be s(5). Let d(b) be the first derivative of -r*b**2 + 3 + 5*b + 1\/3*b**3. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 48\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*m + 4, -3*z - 3*m - 12 = -0*z. Let f = 11 + z. Solve 2*y = 4*h + 4, 2 = 4*y - 2*h - f*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 32 = 2. Let t = g + 3. Suppose 0 = 4*s - t*s + 20. Solve -5*y + 2*h + 19 + 8 = 0, -s*y = -5*h - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**8\/53760 - a**7\/1920 - 19*a**5\/60 - 9*a**2. Let c(l) be the third derivative of x(l). Factor c(q).\nAnswer: 3*q*(q - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*y + 44 + 36, -42 = -2*y + 3*n. Let o be ((-36)\/y)\/((-2)\/(-4)). What is the biggest value in -2, -0.4, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1730 and 66226130?\nAnswer: 66226130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 + 25*z**3 - 25*z**3 + (96*z + 58*z**2 - 96*z)*(-3*z**3 - 4*z**3 + 4*z**3).\nAnswer: -170*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 477 and 53?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001141 to seven decimal places.\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by 932.\nAnswer: 95\/932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x + 3. Suppose 0 = -x*w - 0*w + 24. Suppose 3*p - 8 = -5*v, 3*v = -0*p - 3*p + w. Solve -4*j + 3*y + 5 = -3, -3*j - y + p = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748\/63625 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 + 209 + 0 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 7. Let b = -8.0000007 - f. What is b rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2.55, 0.1, 0?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*w + 26, -4*t - w = -2*t - 8. Let h = 78 - 73. Let y(r) = r**2 + r - 30. Let z be y(h). Solve z = l + l + q - 4, 3*l + q - t = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/3, -23, 0.02.\nAnswer: -23, -3, 0.02, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 756*s**2 - 11871*s - 26790 = 0. What is s?\nAnswer: -2, 19, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 0.\nAnswer: -10, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-20) - 2\/4. Let k be (-16)\/12 - (-1)\/3. Is a less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -498 - -541. Let r = 7 - 2. Suppose r*b - n = 72. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2192 = -124. Let b(k) = k**3 - 2*k**2 - 6*k - 19. Let u be b(5). Find the second derivative of -16*l - h + 1158 + u*l**4 wrt l.\nAnswer: 312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -204, -160, -58, 126, 416, 836?\n\"Answer: 4*x**3 + 5*x**2 + x - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.37538mm to kilometers.\nAnswer: 0.00003837538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1978 divide 21615338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*z - 3*z + 1040 = 0, -3*g + 2*z = -629. Find the common denominator of 2\/((-3)\/((-138)\/(-20))) and 1309\/g - 5\/1.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 7}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.993 * -344\nAnswer: 1717.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 12) + (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 - 6*k - 3. Let r(v) = 12*v**3 - 11*v - 4. Let u(y) = -7*b(y) + 3*r(y). Let x(f) = -f**3 + f + 1. Give -u(l) + 9*x(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*o - 4*l, 57*o + 68*o - 7*l + 9 = 125*o - 4*l for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -40070 * -68.4\nAnswer: 2740788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (25\/20)\/((-2)\/(-4512))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 2*v, -4*d - 2*v = -v + 49. Calculate the remainder when (184\/(-16))\/((-1)\/2) is divided by 24\/(-90)*-5*(-2 - d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-4 + 0 + 6)*(3 + 3 - 4)*(-382*b - 16 + 49 + 383*b) as d*b + q and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 0*v + 5*v + (-4*v + 2*v + v)*(3 + 3 - 5) + 0*v + 2*v - 6*v - 5*v + 2*v + 4*v + (0 - 4 + 6)*(3*v - 5*v + 0*v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1414470332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2634914643 + -22.\nAnswer: -2634914665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61285379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d920 (base 14) in base 7?\nAnswer: 214140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.90567 - 0.09433. Which is the third biggest value? (a) 0.4 (b) z (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:33 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1ca (base 13) to base 15\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Suppose -5*k - 2*h = -15, -4*k - 5*h - 2 = 3. Put -3, k, z in descending order.\nAnswer: k, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 79.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28456021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5027.349032 - 5.\nAnswer: -5032.349032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:42 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -524 - -509. Calculate the remainder when 415 is divided by 33 + (6\/o)\/(6\/15).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -45. Let o be 6*((-6)\/(-4))\/(-3)*i. Suppose -c - o*k - 1 = -5*k, -13 = -c - 5*k. Solve q = -q - 4*x - 22, -c*q + 3*x = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(6175\/(-57)))\/(((-15)\/4)\/(-5))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(104) + (sqrt(104) - 2*sqrt(104)*-3)))\/(-4*sqrt(16)\/(sqrt(2) + sqrt(6)\/sqrt(3))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = -8*a + 398. Let f(v) = -32*v**3 - 17. Let s(t) = 11*t**3 + 6. Let y be (-136)\/(-10) + 9\/(-15). Suppose o = -y - 4. Determine a*f(x) + o*s(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*0.17806.\nAnswer: 0.062321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 51, 2, -37 in increasing order.\nAnswer: -37, -4, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {l: 3, k: 2, z: 3, n: 7}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 60.3673um?\nAnswer: 0.0000000603673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*k = 237*k - 13083000. Round k to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82832580 and 15?\nAnswer: 82832580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ncwtubtwu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 4*l + 2. What is the tens digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22757.486 rounded to the nearest 10?\nAnswer: -22760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*l**2 + 2*l - 166 wrt l.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10))\/((-18)\/(-15))*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10239544 to three decimal places.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927 (base 13) to base 9.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 475 = -q + 4*q, 266 = -3*c - 2*q. Let p = 0 - c. What is the highest common divisor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 178833086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16755\/106 or -157?\nAnswer: -16755\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Let c(i) = 3*i**2 - 5*i - 2. Let l be c(z). Suppose -2*w + r + l = -2, r + 23 = w. Calculate the remainder when 54 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l - 22*l = 12. Let h(i) = -3*i - 4. Let v be h(-4). Suppose 0 = -l*o - 12 - v. Put o, 5, -1\/3 in decreasing order.\nAnswer: 5, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.923 - -24. Let y = -0.342 + h. What is y rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0 - 8*p**3 + 9*p**3 + 6*p**2 - 2*p to the form q*p**2 + n + h*p + t*p**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.073*-15852\nAnswer: -1157.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:06 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -34. Suppose u*h - 3 + 9 = 0. Let i be ((-2)\/8)\/((-1)\/2). Which is the second smallest value? (a) -4 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8585, -17167, -25753, -34343, -42937, -51535, -60137?\n\"Answer: -2*c**2 - 8576*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1155\/10 - (-2)\/(-4). Let d = p + -76. Suppose 0 = -d*w + 40*w - 10. Is w <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0*u**2 + 9\/2*u**6 + 0 + 0*u**5 - 83\/3*u**3 + 0*u**4 + 50*u. Find the second derivative of g(k) wrt k.\nAnswer: 1620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/18*3*20\/(-15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**4\/4 + 4*x**3\/3 - x**2 + x - 2. Let r be (3\/4)\/((-1)\/4). What are the prime factors of m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 60.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 9. Let h be m(-7). Let s = h + -3. Sort -3, s, 2 in increasing order.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 8*v - 2*v + (-v - 2 + 2 + (7 - 4 - 2)*(-v + 6*v - 3*v))*(0 + 2 - 1) to m*v + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 - 3*f + 4. Let m be g(-3). Let n be 4*(1\/(-4) + m). Is 16 a factor of (2\/(-5))\/(n\/(-1800))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 6*i = 18. Factor 2\/3 + i*c**2 + 4*c + 8\/3*c**3.\nAnswer: 2*(c + 1)**2*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 1\/4, 4, -1\/5, -0.1, 7.37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14077 times -10.6\nAnswer: 149216.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*v = -6, 5*w = 4*w - 5*v + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(117)\/(sqrt(9) + sqrt(36) + sqrt(36)*5).\nAnswer: 5*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 5*l + l + (-1 + 1 + 4)*(-9 - 11 + 7)*(-l + 3*l + l).\nAnswer: -153*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**6\/1800 + c**5\/300 - c**4\/40 + c**3 - 6*c. Let r(t) be the second derivative of k(t). Let r(d) = 0. Calculate d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 149.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3113325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -g - 3*f + 1564, 0 = -3*f - 6. What is the remainder when g is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.238, -341, -5\/4, 0.3 in decreasing order.\nAnswer: 0.3, 0.238, -5\/4, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 h, and 1 z when four letters picked without replacement from zmzmzzwzwmhhzzzhz?\nAnswer: 81\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3845*o**3*t + 16847*o**3 + 2*o*t wrt t.\nAnswer: -3845*o**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 14. Let j(u) = -u**2 + 5*u + 70. Let z(k) = 4*j(k) - 20*l(k). Let n(a) = -1384*a**2. What is n(z(s))?\nAnswer: -22144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/13)*y**(2\/17) assuming y is positive.\nAnswer: y**(-76\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 28188*u**2 - 4230664*u - 4258848.\nAnswer: 4*(u - 148)*(u + 1)*(u + 7194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u**4 - 4 - 2*u + 0*u**3 + 2\/5*u**5 + 0*u**2. Differentiate p(q) with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h + 11. Suppose 273 = 13*p + 273. Determine s(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 46*k. Let w(a) = 275*a. Calculate w(q(z)).\nAnswer: 12650*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3755.76, 0.3, -13.\nAnswer: -3755.76, -13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + r - 13. Calculate d(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 2*u**3 + 0*u**3)*(2 - 4 + 4) - 20223*u**2 + 255*u**3 + 20223*u**2.\nAnswer: 251*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 596 and 115177.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(2057) + -4)**2 - ((-2*-1*sqrt(119))\/sqrt(7))**2).\nAnswer: -88*sqrt(17) + 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -740335 by -57.\nAnswer: 38965\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30063821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y**2 - 13*y + 13*y + (32 - 9*y - 32)*(0*y + 3*y - 5*y) + 0*y - y**2 + 0*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 155, 1\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = -y - 5, -3*y + 5*o - 7 = 0. Let q be 11 + (y - 0) + 0. Let c be ((-2)\/(-2))\/((-3)\/(-90)). What is the highest common factor of c and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 41*v**2 + 1227*v + 2456. What is the remainder when 515 is divided by p(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.1 and -0.068.\nAnswer: 2.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61 - 341c?\nAnswer: -347d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(-18 + 4*x + 18)*(-1 - 4 - 6)*(2*x**2 + 4 - 4) - x**3 + 5*x - 5*x as a*x + j + w*x**2 + p*x**3 and give p.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1\/5*n**3 - 85*n**2 + 7\/50*n**5 + 0 + 11\/40*n**4 + 0*n. Let c(w) = 0. What is w?\nAnswer: -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54460300 + -4?\nAnswer: 54460263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z + 2. Suppose -t - z*t = 6. Let x be (3\/(-4))\/((-3)\/t). What is the third biggest value in -2, 3\/7, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 11*m**2 - 17*m - 18. What is v(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**4\/36 - 5*l**3\/9 - 25*l**2\/6 - l. Factor c(w).\nAnswer: -(w + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1642*n - 22 = -1646*n - 3*i, 3*n = 5*i + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2136?\nAnswer: 1\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 4. Let z be (-4)\/(-1*(-2)\/(-15)). What is the greatest common factor of z and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4}. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -10*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjzwwjkekjjjkzjk. What is prob of sequence kzjj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 52. Let l = c - 25.3. Let q be 0\/((-1)\/((-3)\/(4 + -7))). What is the closest to -0.1 in -1, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55535?\nAnswer: 5, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 6154\/244795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265568?\nAnswer: 2, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 2:39 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 47*k**2 + 13*k - 23. Let m(q) = -12*q**2 - 3*q + 6. Let t = 107 - 81. Let p(g) = t*m(g) + 6*i(g). Differentiate p(j) with respect to j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*q = -3*q + 62, m - q - 52 = 0. Calculate the remainder when 468 is divided by m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1758364607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1\/3, -2\/9, 2.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 840*b**2 + 4*b + 839*b**2 - 2 as p + j*b**2 + u*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811.5967km to nanometers.\nAnswer: 811596700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 130.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 16. Let u be z(-8). Suppose -2*w - 2*j + 52 - u = 0, -74 = -2*w + 4*j. Suppose -w = -2*n + 25. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*x, 5*s - 3*s - 88 = -2*x. What is the remainder when 821 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1849 or 1848?\nAnswer: 1849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 3332 - 2682. What is the remainder when 443 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/402 and 79\/268?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 33 = -2*p. Which is bigger: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 2) to base 6\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.025 rounded to one dp?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 86 (c) 7 (d) -1\/4 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45235515 + -21?\nAnswer: -45235540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 23 = -13*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-11 + -2 + 4 - 18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -195. Let y = m + -102. Solve c + 2 = -y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6331.0597 to the nearest ten.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.63715 from 132239807.\nAnswer: 132239807.63715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 + 5*b**2 - 4*b**2)*(-10*b + 10*b - 19*b**2) to the form p*b + j*b**2 + r*b**3 + s + i*b**4 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 202 and -0.5?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-5)\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/6015 and -149\/7090482?\nAnswer: 35452410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28158*b**2 + 1223*b**3 - 28158*b**2 + (b**3 - 2*b + 2*b - b)*(-3 - 11 - 12).\nAnswer: 1197*b**3 + 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1232390 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42574, -85147, -127720, -170293, -212866?\n\"Answer: -42573*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-12)*3 + 7. Suppose 11*o = y*o - 8. Let t be (6 - 2)*((-3)\/12 + o). Let p(c) = -2*c - 7. Determine p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29189*z - 5205 = -29189*z + 58254*z + 2979 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - (sqrt(120) - (2*sqrt(120) + sqrt(120)))\/sqrt(10)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 - 2.2. Let l = 0.11 + -5.71. Let f = -1.6 - l. What is the nearest to 6\/7 in c, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 51.\nAnswer: -3, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*a + 23, -4*v = 27*a - 31*a - 12. Put 3, 36, -2, a in increasing order.\nAnswer: a, -2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.5 + -94. Which is the closest to m? (a) -0.2 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/56 and 99\/40833758?\nAnswer: 163335032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3587099303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -166\/7? (a) 5 (b) 0.5 (c) -20\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-70)\/(-60))\/7*-9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191\/405 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/88 and 25\/154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2033866 divided by 20.\nAnswer: 1016933\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 25, 0 = 2*r - 3*z - 2*z + 39. Let u(l) = -l**3 - 33*l**2 - 32*l - 2. What is u(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.693 + -32.2384?\nAnswer: -7.5454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -465 - -652. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + 2*t**4 + t**4 + 2*t**4 - 5 + 5 + (0*t**4 - 2*t**4 + 3*t**4)*(-2 + 3 - 2) + 0*t**4 - t**4 + 3*t**4.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2133 - 1145. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 344, 0, 22, 5\/6, 2.\nAnswer: 0, 0.5, 5\/6, 2, 22, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 138, 267, 400, 537, 678?\n\"Answer: 2*s**2 + 123*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-641)\/6410)\/(4\/(-96)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5442553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = 0, -3*p + 5 + 1 = -5*h. Which is bigger: 1\/82 or h?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - -4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2800\/32 - (-2)\/(-4). Let x = -77 + j. Solve -d - d + x = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46878047897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + i + 4 + 7 = 9*c - 15 - 8, -3*c = 2*i - 31 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 29. Suppose -3 - f = -x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -17 - ((-216)\/(-12) + -1907). What is the highest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24b3ad + -3?\nAnswer: 24b3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + -10. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 5*f + 5. Let i be x(5). Suppose -6*s + 15 = -s. Suppose -i*n + 29 = 2*u, s*n + 72 = 4*u - n. What is u rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdddddx. Give prob of sequence xx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.046 and -93992791129.\nAnswer: -93992791128.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1762 and 1766 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57588, 115117, 172660, 230211, 287764, 345313, 402852, 460375?\nAnswer: 517876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -111*x - 224. What is the remainder when p(-5) is divided by 93?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3711920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j + j + 16 + 3*j + 5*j. What is g(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -74*p**2 + 5*p - 17. Let w(d) = -76*d**2 + 7*d - 18. Let h(q) = -4*w(q) + 3*x(q). Let m be h(2). What is the highest common factor of 38 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 6. Let k(z) = z - 1. Let q(y) = -k(y) + u(y). Let g be q(9). Let v(j) be the second derivative of -j**4\/12 + j**3 - 5*j**2\/2 - j. Give v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*b - 2*f, -6 = -2*b - 2*f - 4. Let s(l) = 2*l**3 - 7*l**2 + l + 14. Let v be s(b). Calculate the greatest common factor of 40 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.32? (a) 0.15 (b) 1\/2 (c) -0.1 (d) 4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f - 7*f = -2883 + 2035 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592*h + 14598 = 43254 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02873802 rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154621 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:11 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6816 (base 16) in base 6?\nAnswer: 323210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a. Let x be a - ((-220)\/4 + -1). Suppose 4*n - x = -3*z, 4*n = 8*n + 2*z - 56. Calculate the remainder when 26 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*w**2 + 1596*w**2 + 265*w**2.\nAnswer: 2313*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5344 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: What is the seventh root of 3660336 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:02 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206759, 206760, 206761, 206762?\n\"Answer: u + 206758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*m**2*z**2 - 19*i**2*m*z + 12*i**2*z - i*z**2 - 191*m**2*z**2 wrt m?\nAnswer: -4*i**2*z**2 - 382*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886070 (base 16) to base 5.\nAnswer: 4242000314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*h**4 - 395302*h**3 - 1088503*h**2 - 16*h.\nAnswer: -744*h - 2371812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - (-20)\/6. Let u(s) = s**2 + 112*s - 25423. Let r be u(-225). Solve -t*f + 4 = -r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60950 is divided by 30386?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25664\/96 + (-2)\/6 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*d**2 - 21*d + 5476 wrt d.\nAnswer: -30*d - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 320 = 125*y - 54*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189433\/24 - 7895. Find the common denominator of r and 17\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36928750 or -36928751?\nAnswer: -36928750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 116*r - 11269. Calculate s(93).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 7:04 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*d - 229*d + 461*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 231812?\nAnswer: 231812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5632 and 1809632?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*s - 73, 3*q - 49 = -0*s - 2*s. Suppose 3*i - 2*k = s, 5*i + 5*k = 2*k + 13. Let b = 7 + -5. What is the third biggest value in i, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -617 and 18.58.\nAnswer: -11463.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d**2 + 35*d. Let c be z(-2). Suppose 5*k + 140 + 22 = 2*i, -4*k = -5*i + 371. What is the remainder when i is divided by -18*((-8)\/c)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a + -23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -186380*v - 193963?\nAnswer: -186380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s + 217 = 104 - 179 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52340426 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*n**4*t - 21155*n**2*t - 8538*t + 119 wrt n?\nAnswer: -192*n**3*t - 42310*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(9\/(-6) - -1). Let q be (-16)\/140*10\/j. Let i = 44 - 131\/3. Which is the closest to q? (a) i (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 28*a**2 - 42*a + 220. What is the hundreds digit of l(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80.4 - -705.4. Let u = 625.01245 - r. Round u to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 430421*y\/6 - 699413\/3.\nAnswer: -(y - 107602)*(4*y - 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 114533*f + 572586. Give x(-5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-3) - (-40)\/60. Let i be ((-2)\/(-4))\/((-2)\/(-28)). Let m be i\/(-2) + (-2)\/(-4). Is n less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = p + 3*p, -39 = -4*b + 3*p. What is the smallest common multiple of 2 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25735 or 1?\nAnswer: -2\/25735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v = 66*v, 4*v - v = -5*y - 2*v - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10100000111110 (base 2) to base 12\nAnswer: 5b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - 50 + 100 - 50.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5*4)\/(3\/(-78)*-13). Let r(v) = -v**2 + 43*v - 124. Let l be r(n). Let y(j) = j**2 + 2*j - 6. Calculate y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/17 (b) 975600 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*j**2*u**2 + c*j**2*u + 13*c*j**2 - 22*c*j*u**2 + 45*c*j - 10084*c*u**3 - 38*j*u wrt u?\nAnswer: -4*c*j**2 - 44*c*j - 60504*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 24*r**2 + 231*r - 1469. Give z(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 85 = -35. Sort 5, -2, s, 3 in increasing order.\nAnswer: -2, 3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2541, 2534, 2527, 2520?\n\"Answer: -7*d + 2548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125329 is divided by 4485?\nAnswer: 4234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0*r - 3 + r**3 + 0*r**3 + 8*r + 0*r**3 - 6*r**2. What are the prime factors of z(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -1102, -3946, -9488, -18628, -32266, -51302?\n\"Answer: -150*u**3 + u**2 + u + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 5*r + 6*r)*(-687*r**3 + 427*r**2 - 427*r**2).\nAnswer: -4809*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 192 (b) -0.3 (c) 487427\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 6*c - 27*c + 792 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5\/3 (b) -1 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59276208 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 - 32470248*y\/7 - 32470244\/7.\nAnswer: -4*(y + 1)*(y + 8117561)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from qqqqqqqqqqqqvqvqqv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1619892 by -539964.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-32)*-2 + (-120)\/64?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:47 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 4) to base 6\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 737*j + 756. Let s be q(-1). Solve 2*z + 12 = 4*h - 2, 0 = -2*h + 5*z + s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 1871*q - 7468. Calculate u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 163*u**2 + 153*u + 160. Is 205 a factor of f(-161)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 17 = -73*k + 70*k, -4*x + 3*k = 1. Let f(i) be the second derivative of -3\/5*i**5 + 0 + 0*i**4 + 0*i**3 - 18*i + 2*i**x. Differentiate f(m) wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-1)*(-6)\/9. Let i(r) = -2*r**2 + 113*r - 163. Let k be i(55). Sort b, 3, -1, k.\nAnswer: b, -1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, -0.6, -230785, 3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -193 + 192 - ((3 - 6) + 24)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 289*r + 22. Let g be h(12). What is g rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40014 and 42471?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*z = -2*z, 28 = -2*l + 3*z. Let p = -5 - l. Let m = 7 - p. Solve 2*c = -2*q - m, 4*c + 14 = 4*q - 2*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 5) to base 7.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -10, -34, -68, -112, -166, -230?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.599489 milligrams?\nAnswer: 4599.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 16098368*w**2 + 515149312*w + 4121198592.\nAnswer: -2*(w - 8049216)*(w + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882841.\nAnswer: 101, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 6111 - 15193 = 0. Let r = 26683\/10 + v. Calculate the common denominator of 5\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 2 = -73. Suppose 0 = -5*q + 3*c + 1115, -j*q + c - 909 = -9*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*6*sqrt(153)*-1)\/(sqrt(18)\/(sqrt(8)\/sqrt(4))*-2) + 1)**2*-4.\nAnswer: -15304 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*f*o*r + 190*f*o + 7*f - 826*r wrt o.\nAnswer: -56*f*r + 190*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/14*(-116)\/87\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -112.75532?\nAnswer: 563.7766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)\/(49\/21 - 3). Suppose -39 = -4*o - y + 26, p*o - 65 = -4*y. Solve -16*f + 3 = -o*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -1 + 0 - (74130 - 74164)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let t = -20015\/12 + 1668. Let m(y) be the third derivative of -y**2 + 0*y**3 + 0 + 0*y + t*y**4. Give q(m(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -542, 0.\nAnswer: -542, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -0.0799?\nAnswer: 0.010387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + (-880)\/77 + (2 - 1). Which is the closest to -2? (a) n (b) 1 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*d - 18797 - 52057, 0 = -j - d + 23632. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*t**2 + 87*t**2 + 304*t**2 + 141*t**2.\nAnswer: 621*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 13) to base 12\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154752\/(-34944)*1*-7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*n - 2*m, 6*n + m + 383 - 380 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 188*t**2 + 170*t - 15986. Determine p(94).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19\/6, 3, -1\/3?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24012.4151 rounded to the nearest 10?\nAnswer: -24010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 - (-8 - (-86215)\/(-35)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -94, -144, -246, -418, -678?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of -1*1\/(-3) + (-92512)\/(-168)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 907198.\nAnswer: -17\/453599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6499 and 679?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*x**3\/2 - 347*x**2\/2 - 4225*x\/2 + 1875\/2.\nAnswer: -(x + 25)**2*(7*x - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 35*c**2 + 50*c - 35. What is the thousands digit of n(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {b: 3, o: 6, c: 1, w: 1, s: 1, k: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*h - 682 + 403, h = -2*k + 49. What is the highest common factor of 2491 and h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -422 + 420. What is the remainder when 3\/(-1) + -8 + 194 + a is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8876662.2s to hours.\nAnswer: 2465.7395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-2 + -3)*-1 + sqrt(425)*-1*-5*-6)**2.\nAnswer: -840*sqrt(17) + 333209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7555*b + 7544. What is u(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 272 - -451?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -5 (c) -80034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose -2*z + 4 = l - 1, -30 = 5*l - z. Let k(q) = -2*q**2 + q + 44. Let b be k(5). Sort u, b, l in descending order.\nAnswer: u, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*-21*224\/168\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 2\/35 (c) -4 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.848 + -4.847993005. Round p to 7 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 1537*q**2 + 94335*q + 92799.\nAnswer: (q + 1)*(q + 63)*(q + 1473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -903454 and 0.6.\nAnswer: -542072.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -585785 or -585838?\nAnswer: -585785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 27\/273322?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2\/23, -294\/31 in descending order.\nAnswer: -2\/23, -294\/31, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 7765 and 7797 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684205 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 + 9*f - 22. Let t be i(6). What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 25 = -79. Suppose -3*x + 1583996 = h, -1584004 = -3*x - 5*h + c*h. What is x rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhhtth. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/3))**(1\/5)\/(t\/t**(-2\/7))**(-14\/11)*(t**(-3\/2)*t*t**(-2\/9))\/((t**0*t)\/t*t**(-4)) assuming t is positive.\nAnswer: t**(5129\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(6\/19)\/(w**8\/w*w*w**(2\/25)) assuming w is positive.\nAnswer: w**(-202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 127, 252, 377?\n\"Answer: 125*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33302 + 1?\nAnswer: 33303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/423054 and -10\/2583.\nAnswer: 121416498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) -1 (c) -1\/11 (d) -988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4557 - 4537. Suppose 0 = -l - 4*d + 8 + 21, -d + 50 = 5*l. Solve 0 = -5*z + 2*h + 12 + l, -5*h + n = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 4*v**3\/3 - 5*v**2\/2 + v. Does 6 divide l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97108, 97013, 96918?\nAnswer: 96823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - h - 20. Let m(r) = -3*r**2 - r - 13. What is -7*m(p) + 5*y(p)?\nAnswer: p**2 + 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*r = -161, 4*z + r = 6*r - 122. Let v = 266 + z. Suppose 3*o = 5*t + 227, 5*o + 2*t = 166 + v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*f - 6 - 155*f - 567*f as g + s*f and give s.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(-165)\/66.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1.9. Let g = 1 + k. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 503.088 to the nearest integer.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -489 - -493.98. Let w = c - 4.6. Let d = 0.02 + w. What is the smallest value in d, 0.1, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - u + 20 + 9, -2*u + 23 = 3*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16783 - -16782.9996336. What is y rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/1210 - 1272\/(-1408)*-10)*4*2.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4101 + 877 = -885*z + 1201 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 1, a: 1, f: 1, n: 4}. Give prob of sequence onno.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30210 - -202?\nAnswer: -30002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o - 3. Let m(b) = 3*b - 6*b - 1 + b. Let w(t) = 8*m(t) - 3*r(t). Is 2 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83\/276 - -5\/23. Is 0.1 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.89225 grams to tonnes.\nAnswer: 0.00004289225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 101940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025019799 to six dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5, 21, -3, -13 in decreasing order.\nAnswer: 21, 5, -3, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whnnwwnnwn. What is prob of picking 1 w and 1 h?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.78992 centuries to months.\nAnswer: 76547.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**4 - 8981606*t**3 - 2888*t**2 - 4503 wrt t.\nAnswer: -24*t - 53889636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(4\/3 + -6 + 3). Suppose -d = k*d - 390. What is the remainder when (6\/(-5))\/((-2)\/d) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.73 - -25. Let s = 0.01 - u. Let b = s - -1.56. Which is smaller: b or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 41*s + 5 = -5*n, -25 = -3*s + 4*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(3)*1 + (1 + sqrt(3) + 0)**2.\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -345*j + 12631. Give a(35).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = -3*f, 5*d = -0*d - 3*f - 13. Let n be (1 + d)\/((-3)\/(-15)). Let z = -11 + 16. Put z, n, 2 in decreasing order.\nAnswer: z, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141523, -141581, -141639, -141697, -141755?\n\"Answer: -58*j - 141465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506242 and 31438.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1661*h**2. Let l(j) = j. Calculate l(y(q)).\nAnswer: 1661*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Let i = 47 + -139\/3. Let o = -0.18 + 4.18. Which is the closest to p? (a) o (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13331302 (base 4) to base 14\nAnswer: bc66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -269354541\nAnswer: 134677270.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47337130?\nAnswer: 2, 5, 197, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -807968, -1615931, -2423894, -3231857?\nAnswer: -4039820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*(-28)\/32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 275*a**3 + 2*a**2 - 1. Let k be o(1). Suppose k = 5*w + 31. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(0 + 1)\/2. Suppose 0 = i*j - 0 - 10. Suppose 5*b - 4*s = 9, 0*s + s = 5*b - 6. What is the lowest common multiple of b and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, and 1 p when three letters picked without replacement from {p: 1, i: 5, m: 11, x: 2}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.56736934 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 68*q**3\/3 - 49*q**2\/2 - 4*q - 176. Is b(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 871.2 + -875. Put 0, 5, r, 0.3 in decreasing order.\nAnswer: 5, 0.3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95365382?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.84 + 5.14. What is the smallest value in -0.4, -179, -4, t?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2110.225 and 237.\nAnswer: -1873.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -2.130148\nAnswer: 2.9822072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13979 + -3953. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 o when four letters picked without replacement from {c: 1, u: 2, q: 4, o: 8, w: 1}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2 + 7*j**2 + 8*j**2 - 2*j - 8*j - 21. Is z(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.242392759 + 117062.\nAnswer: 117062.242392759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:06 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-36)\/(-81) - 2\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 + 6*s - 3\/7*s**2.\nAnswer: -3*(s - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let p(l) = 6*l + 1. Let m = -1468 - -1470. Calculate m*p(h) + 5*x(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -314*i - 175*i + 484*i. Let y(s) = 2*s + 58. Determine f(y(r)).\nAnswer: -10*r - 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 13*w**2 - 29*w - 8. Let t be c(15). Calculate the lowest common multiple of (t + 3 + -13)\/((-6)\/4) and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 5*k - 16, -4*x + 26*k = 27*k - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311475 is divided by 20757.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at most -283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9388036 and 8?\nAnswer: 18776072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -65.000108. What is h 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 2488782093?\nAnswer: 3, 7, 521, 227473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3382 - -6280. Let q = 10723617\/7 - 1534848. Let b = x + q. Find the common denominator of b and 71\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, c: 8, f: 4}. Give prob of sequence cc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6 = -1 + 1, -73*m + 3260 = 2*b + 3483 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -499?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30056317 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39941 + 0?\nAnswer: -39941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 0, 29, 90, 195?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7092 is divided by 355?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 7*i + 8, -16*i = -4*q - 14*i + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 9*j + 33. What are the prime factors of l(-9)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6213272.4us?\nAnswer: 0.001725909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 102078 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.82 and -252396.\nAnswer: -206964.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/96*1\/15*2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124.6992 * 4.\nAnswer: 498.7968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:47 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 92?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.821279 + -0.821277. Let z = -20 + 9. Let s = z + y. What is s rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3978\/272)\/(9\/(-24)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(9\/10)\/k)\/k*k**(-2\/27))**(-14))**(-37) assuming k is positive.\nAnswer: k**(-82103\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v - 68. Let f = -23 - v. Suppose -a + 226 = f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -553*u + 567*u. Solve u*x - 4*q = -13, -5*x + 6*q - q = 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8 + 21*b - 6 - 20*b. Give u(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = 0, 8*l - 186 = 10*l - 2*u. Let s = l + 295. What are the prime factors of s?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109.92 * -568\nAnswer: -62434.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44952 less than 1.1?\nAnswer: 0.65048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1070 and 461420.\nAnswer: 49371940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32539, 65078, 97617, 130156?\n\"Answer: 32539*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 37 + 13. Suppose -304 = -j - 3*j. Let x be j\/16 + 9\/r. Solve -x*t = 13 - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b + 999. Let u be j(-73). Let h(d) = 50*d - 1. Let v be h(3). Find the second derivative of u*x**4 + 0*x - 2*x - v*x**4 wrt x.\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 49*v**2 + 163*v - 997. What is y(46)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104339*v + 7315*v**3 - 104341*v - 20657*v**3.\nAnswer: -13342*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/27865 and -71\/70?\nAnswer: 390110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, -3\/2 in decreasing order.\nAnswer: -3\/2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/21)\/(-5*(-1)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 538\/(-8) - 2\/(-8). Let j = -25 - k. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4991, 5017, 5043, 5069, 5095, 5121?\nAnswer: 5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 2*l - 30. Let m be i(-8). Let y be -2 - (28*1)\/(-2). What is the highest common divisor of m and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1734 + -1108?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -859\/3*j + 1\/6*j**2 + 737881\/6 = 0. What is j?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + 16. Suppose 4*p + a = 2*p + 28, -3*p + n = -3*a. Suppose 9*u = p*u - 148. Round u to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27021*w + 2*b - 61 = -27026*w, -22*w + 5*b - 187 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/(-364)*(-14)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + -0.1. Let v = 0.47 + -0.37. Sort b, v, -3\/4 in descending order.\nAnswer: v, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 - 35*w**2 - 20*w - 45. Determine j(-9).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17\/5 (b) 2\/15 (c) 1 (d) 30\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22721751.\nAnswer: 3, 13, 194203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(m + 2 - 2) + 3*m - 1 + 1)*(231*m**3 + 101*m**3 - 154*m**3).\nAnswer: 712*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1670\/257063 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose 0 = -w*x - 2*x + 20. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 3*t**2 + 4*t - 2. Let w(n) = -2*n**3 + 5*n**2 - 4*n + 7. Let v be w(3). Let i be (v\/(-8))\/((-1)\/(-4)). Suppose -12 = z - i*z. Calculate p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23487 is divided by 7816?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181902*p**3*r**2 + 5*p**3*r + 2*p**3 - 2*p**2*r + 298*r wrt r?\nAnswer: 363804*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 219. Let h be u(0). Suppose -3*v + h = 24. Suppose -2*q + 26 = -4*x, -3*q - 4*x + 29 = -10. Calculate the greatest common factor of v and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1056\/99 + -5 + 1\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 + 3*y - 9. Let b(d) = -3*d + 24. Let j be b(9). Let s be j + ((-20)\/(-5) - (-5 - -3)). Does 5 divide f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/(-18))*29. Let o = 301 - n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*w - 22 = -419*w - 2*t, 0 = -14*t + 42 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or 1073?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 77661*z**2 - 77752*z + 6989580.\nAnswer: (z - 77662)*(z - 9)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.3. Let w = y + 0.8. Let n be 1\/4 + 2\/24. Which is the nearest to n? (a) w (b) -2\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-3420)\/44)\/(-57)).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 806911 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -16. Let i = x + 15. Let s = -168 + 2858\/17. Sort 0.3, s, 3, i in descending order.\nAnswer: 3, 0.3, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**6\/50 - 63*x**5\/100 + 27*x**4\/5 + 2376*x**3\/5 + 7776*x**2 + x + 221. Let b(a) = 0. Calculate a.\nAnswer: -12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:25 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1419\/7 + (-22)\/(-77). Calculate the common denominator of m\/28*-7*(-6)\/28 and -67\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -3 - 22 - -3 - 0 - -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(624) - ((sqrt(624)*-1*-3 - sqrt(624)) + sqrt(624)) - sqrt(624)) + sqrt(624) + 2*sqrt(624)*-6))\/((-1*sqrt(60)*2)\/(sqrt(160)\/sqrt(8))).\nAnswer: 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001111589 to six dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -139*k**4\/24 - 19*k**3\/6 - 3*k**2 + 11*k. List the prime factors of j(-3).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 119310250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:12 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 476948614 to the power of 1\/2, to the nearest integer?\nAnswer: 21839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308\/3*y - 308\/3*y**3 + 2\/15*y**4 + 514\/5 - 1544\/15*y**2 = 0. What is y?\nAnswer: -1, 1, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*y = -2, 0*u + 2*u + 4*y - 12 = 0. Solve -5*l - n = -u, -5*n + 7 = -2*l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503073, 501402, 499731, 498060, 496389?\nAnswer: 494718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 4. Let f(b) = -55*b - 123. Let s be f(-12). Let w = 548 - s. Let x(k) = 16*k - 20. Determine w*j(q) + 2*x(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3507 and 6489.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -537 by -17278.\nAnswer: 537\/17278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 18*n + 9*n + 9*n - n**3 as k + l*n + r*n**3 + p*n**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 49659077 and 49659077 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:59 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - b + 5*b. Let p = 19 - 19. Let z(i) = p*i**2 + i**2 - 11*i**2 + 16*i**2. Give t(z(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 33*s**2 + 49*s - 20. List the prime factors of j(15).\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13317179 a multiple of 1566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 4)*(-1194*q**2 - 380*q + 2386*q**2 - 1195*q**2).\nAnswer: -12*q**2 - 1520*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 42 = n. Let z be ((-14)\/n)\/(2\/(-3)). Solve 3 = -4*w + r - z, 3*r = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -317 + 7?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 - 31*y**2 + 3 + 8*y**2 + 3*y**3 - 4*y**2 as h*y**2 + a*y + o*y**3 + j and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46a4a (base 16) in base 7?\nAnswer: 2313412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 272, 407, 542, 677?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6658795 to the power of 1\/2, to the nearest integer?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-19 - -9) + 1 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233915027 is divided by 99?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - y - 14 = 0, -1 = 5*w + 5*y - 21. Let z = -3.7 - -4. What is the third biggest value in w, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -77 - (-1 + -1 - -2). Let v = 121 + 3. Let h = n + v. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2. Let y(f) = 43*f - 2. Give y(a(m)).\nAnswer: 301*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-153)\/108)\/(-17)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from {m: 6, i: 9, q: 2, f: 2}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-21)*c)\/c**(-9\/10)*c*c**(-1)\/c*c*c**(1\/8) assuming c is positive.\nAnswer: c**(-759\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**7*c*c\/((c*c*(c*c\/((c**(-4\/5)\/c)\/c*c*c))\/c*c)\/c)*c)\/(((c*c\/(c\/c**(-6)))\/c*c)\/(c**2*c))*(c**4\/(c\/(c**(-5)*c)))**(-4\/13) assuming c is positive.\nAnswer: c**(1008\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 - m + 4. Let u(y) = -1. Let l(w) = -g(w) - 2*u(w). Let a be l(1). Solve 0*f + 12 = a*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(2 - 1 - 2)*(-5*f**2 - 2*f**4 + 5*f**2)*(8*f + f - 11527 + 11511).\nAnswer: -18*f**5 + 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1100001100110?\nAnswer: -1100001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596*-918.\nAnswer: 547128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071b (base 15) in base 9?\nAnswer: 78568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 16 = 0, -6*b = -5*b - y + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y. Suppose y = f - 5 - 0. Suppose -51*v + 673 = 10. Solve -4*b - 11 = f*i, -b + 5*i + v = i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475393 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -333.7 and -52?\nAnswer: 281.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1783 + 6501. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 7, -14, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 15*x + 312. What are the prime factors of -8*(x + 0) - 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251904 - -9504. Round u to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*k**2 - 27*k**2 - 1 + 0 + (0*k**2 - k**2 + 0*k**2)*(0 + 3 - 4).\nAnswer: -8*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 2194544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10535.85+5\nAnswer: -10530.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 2, o: 1, m: 4, z: 5, t: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.64145024 take away -5?\nAnswer: 14.64145024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k - 6. Determine o(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 4*v + 2 - 12*v + 7 - 7 + 0*v + v - 2*v + 2*v - 2*v - 2*v + (v - v + v)*(-4 + 1 + 2) to the form o + w*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.5 - -24. Suppose -40 = -5*c - 3*c. Let g be (-2)\/6*(-9)\/5. Put y, g, c in descending order.\nAnswer: c, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 59?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0, 165, -7.\nAnswer: -7, 0, 59, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(540)*2*2)\/((sqrt(300) - ((sqrt(300) + (sqrt(300) - 1*sqrt(300)))*-5 - sqrt(300))) + (sqrt(300) - -1*sqrt(300)*-1)))**2.\nAnswer: 5184\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 46817.\nAnswer: 889523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 2154074.\nAnswer: 150785.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i + 2. Let r(z) = -11*z + 5. Let y(b) = -9*k(b) + 4*r(b). Let w = -43 + 49. Suppose p = g - 3*g + 3, -3*p - 5*g = -w. Determine y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18 = 9. Solve 0 = 2*c - 4*f + 10, c = f + 3*f - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-24)*-8 + 25\/(-45). Let z = 8 - 7.97. Sort -0.3, c, z.\nAnswer: -0.3, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 14*y**2 + 4*y - 8. Determine q(-14).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 46*p - 1084. Calculate v(25).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:24 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -7. Suppose -n = -5*q + 2*q. Solve q*z + 25 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -32*c**2 + 6*c + 11. Let y be h(7). Let p = -1072 - y. Suppose -4*o - a = -p, 5*o + 3*a - 557 = 5*a. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074105 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 1350 = 1422. Suppose 2*l - 6*l = -56. What is the highest common divisor of u and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 184 = 9*z. Suppose 7 = 6*u - z. Suppose 0 = 2*x - 5*a + 3160, -a = -u*x - 842 - 7058. Round x to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -588, -1331, -2372, -3711, -5348, -7283?\nAnswer: -9516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 5. Let m be q(0). Which is greater: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Let m(u) = 764*u**2 + 8*u - 19. Calculate v(m(g)).\nAnswer: 764*g**2 + 8*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 110830764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2273*n**3 - 70*n**2 - 13*n + 16. Let m(l) = -758*l**3 - 24*l**2 - 4*l + 5. Let k(d) = 13*m(d) - 4*w(d). What is the third derivative of k(i) wrt i?\nAnswer: -4572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 8)*(l**2 - l**2 + 2*l**4).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 96840 to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*k - 5*h, -21*k + 41 = -17*k - 3*h. Let z be (-196)\/(-10) + (-8)\/(-20). What is the greatest common divisor of z and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((-61)\/((-1586)\/208) - 81\/12).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2858\/8)\/(390\/(-416)). Let j = d + 381. Is j less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**2 + p + 1. Let w(s) = -s**2 - 7*s + 7. Let y be w(-8). Let d be a(y). Is 6 a factor of ((-36)\/21)\/(d\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1611 by -559391.\nAnswer: -1611\/559391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 7*h**5\/30 + 22*h**2. Let q(n) = 3*n - 700 + 700. What is q(j(w))?\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckt when three letters picked without replacement from ckkkktkttktkk.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17866b - -4?\nAnswer: -178667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 59*c - 42.\nAnswer: -(c - 14)*(4*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90.99999502 + 91. Round j to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 1154071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:09 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -6. Let s = -8.3 + r. Put 0.3, s, -2\/9 in increasing order.\nAnswer: s, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, d: 7, p: 1}. Give prob of sequence pdd.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-3)*5346\/4455*(-5)\/(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1098*k - 185*k + 1503*k - 157*k.\nAnswer: 63*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*w - 55*w - 3*j + 9552, -2*w - 4*j + 19100 = 0. Does 139 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 1. Let v(t) = -2300*t - 3. Give 4*a(c) - v(c).\nAnswer: 2292*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14, 54, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -106234 (base 8) in base 11?\nAnswer: -25054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 876 or 1371?\nAnswer: 1371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (10\/35)\/(2\/7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (350\/30)\/5*1\/14\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4252 (base 6) to base 10.\nAnswer: -968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 104?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-22)*c)**17 assuming c is positive.\nAnswer: c**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**6*q**2 - 72*g**3*q + 54*g**2*q**2 - 17*g**2*q wrt g.\nAnswer: 600*g**3*q**2 - 432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)*s*s*s**(-6\/13) assuming s is positive.\nAnswer: s**(-227\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - c + 2*c**2 + 6 + 3*c + 2*c**2. Let i(v) = -v**2 + v - 1. Suppose 0*f = -5*f - 5. Let s(l) = f*o(l) - 5*i(l). What is s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 576 + 9*l - 258*l - 279*l + 47*l**2.\nAnswer: -(l - 24)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-20) + 3\/9. Suppose 2*s - 5*n - 6 + 0 = 0, s - 2*n - 2 = 0. Let t be (42\/(-7))\/36*s. Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, g: 1, n: 1, k: 9, r: 1}. What is prob of sequence fn?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 4:16 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 16. Suppose -5*k - 77 + 127 = 0. What is the lowest common multiple of h and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*f**3 + 365*f**3 - 192*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) -3 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 29. Suppose -i = a*i - 2704. Calculate the greatest common divisor of 52 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 + 3*t - 13 - 2*t - 195 - 57 as o + i*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-5\/4)*l)\/l*l)\/l)\/(l*l*l**3)*(l**(-5)*l)\/l**(-2\/5)*(l**(-3)\/((l\/l**2)\/l))\/(l\/(l**(1\/3)\/l)*l*l*l\/(l**8\/l*l)*l) assuming l is positive.\nAnswer: l**(-301\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3344 and 133\/6.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and 2101372.\nAnswer: 23115092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 48*y + 405. What is i(-38)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -2)*2*2. Let c = q + 27. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 53. Find the third derivative of 8*a**5 + 3*a**4 - 51*a**2 - 7*a**2 + 10*a**m wrt a.\nAnswer: 480*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*-764*(-4)\/(-2048). Which is smaller: 6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 * -1\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u - 1. Let n be x(-7). Let z(p) = 69*p**3 - 155*p**2 - 87*p - 7. Let k(d) = -d**3 - d**2 - d - 1. Let j(l) = n*z(l) - 5*k(l). Factor j(f).\nAnswer: -4*(f - 3)*(4*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291682243.\nAnswer: 17, 19, 101, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 32*z**7\/21 + 848*z**6\/5 + 23633*z**5\/5 - 65848*z**4\/3 + 18942*z**3 - 6724*z**2 + 2025*z. Find a such that k(a) = 0.\nAnswer: -41, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299932 and 115393.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28860 = 4*n, -2*v - 17423 = -4*n + 11413. What are the prime factors of n?\nAnswer: 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - 167. Let d = -33 - z. Calculate the remainder when d is divided by (440\/28 - 1) + 84\/294.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.023 + 0.023. Which is smaller: m or 55\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a + 4 + 5*a + 2*a. Let z be m(6). Let o be 1*(-2 - (-584 - z)). Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/24 + 1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 1 e when three letters picked without replacement from eeeboewbboowjwwoobew?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4018674?\nAnswer: 2, 3, 11, 60889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 8*w + 3. Let q be z(-7). Let j(t) = 5*t + 4 - 8 - 2*t + t**2. Let v be j(q). Solve -10 = -2*c - 3*y, -y + v*y + 3 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -b + 14, -5*b - 37 = -3*g - 3*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11495754247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 4*h - 7. Let x(j) = 2*j - 4. Let f(a) = -b(a) + 4*x(a). Determine f(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -10 + 29\/2*s - 14*s**3 - 1\/2*s**5 + 5*s**2 + 5*s**4 = 0.\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 64*z + 1239. Determine b(-18).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -5)\/((-4)\/(-8)). Let c be 44\/m + (-3)\/5. Put c, 5, 4 in increasing order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 4\/3 (c) 9 (d) 1\/5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712694317.\nAnswer: 712694317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -6)\/(1\/(-2)). Let m be 5\/(2 + (2 - 3)). Let h(g) = 3*g + 2 + 0 - m. Let x(z) = -2*z + 2. Calculate i*x(f) - 3*h(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 10*i**2 - 9*i + 24. Suppose 0 = 59*u + 386 + 263. Calculate q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 + 20*q - 8*q**2 - 12*q + 1 + 1 to the form s*q + u + x*q**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2877*p**3 + 14*p + 13. Is i(-1) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(15*k - 1012 + 1012)*(8 - 22 - 11).\nAnswer: -750*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2. Let l(v) = 2*v**2. Let j(c) = 7*l(c) - 5*m(c). Let o(s) = 1 - 1 + 4*s. Calculate j(o(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -428 + 560. What is the least common multiple of 220 and z?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxcf when four letters picked without replacement from {c: 4, x: 6, f: 4}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 - (9 + 1) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isilssissiszzrs. What is prob of sequence rszi?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 80*k + 30. Let p be n(-23). What is the highest common factor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -1\/4, -82?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -104. Solve 3*d - 3 = b*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68330647 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/110 and -191\/462?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 26. Let h be (0 + g)\/((0 - -2)\/(-1)). Let y be (-6*7 - 18\/(-9))\/h. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 55*z - 151. Let s be f(-19). Calculate the highest common factor of 32 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 52456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -91, -145, -205?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4364.085 - -4337. Let j = 51 - 78. Let x = j - f. What is x rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -1.3. Let g = 20 + -34. Let h = g + 13.6. Which is the nearest to q? (a) 2\/3 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**4 + 4126 + 26152*d**2 + 4*d - 26513*d**2 - d - 3*d wrt d?\nAnswer: 4*d**3 - 722*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6556.477 meters?\nAnswer: 6556477000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7715*v - 7715*v + 316*v**2.\nAnswer: 316*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:49 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 3b14?\nAnswer: -3b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*d + (2*d - 3*d - d)*(-3 - 1 + 3) + 2*d + 3*d - 3*d - d + 2*d - 2*d - 2*d + 2*d - 4*d - 9*d - 16*d - 86*d.\nAnswer: -110*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 8*i**2 + 5*i - 5. Suppose -v = 4 + 2. Let t be -6*3\/v*-2. Is f(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67107 and 1896.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 27, 49, 73?\n\"Answer: p**2 + 17*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 124*j**2 + 160*j - 3504. What is the remainder when n(125) is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7761*x - 384. Does 69 divide l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {y: 1, f: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -4, -79\/11, 0.4, -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)\/o)**(7\/5)\/(((o*o\/((o*o**(-6))\/o))\/o)\/(o**(4\/7)\/o)))\/((o*(o**(2\/13)\/o)\/o)\/((o**(-5\/3)*o)\/o))**43 assuming o is positive.\nAnswer: o**(-19858\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -6 - 2. Let z(v) = v + 19. Let f be z(-9). Let r = f + m. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2079 and 42.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -4, 1\/5, 0.4, -23\/10, -11?\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/(-27) - (-1369)\/3)*1.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s = 148*s - 69*s + w + 202, 0 = s - 5*w + 56 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-10)*((-525)\/(-20))\/(-7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2565 and 285?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from fybwfyfffffff?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8\/(-40) - (-5)\/(-50)*-46082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1328 and 14027?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12\/197 + 1523\/2364. Find the common denominator of 131\/48 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 21*q - 85. Let d be r(-15). Solve -d*u = 7 + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697?\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 1)*14\/4. Let s = 1 - w. Calculate the greatest common divisor of s and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 16 = 4*j - 9*j, 5*k - 2*j = -20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + 262*c - 4317. Give b(31).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 4 + 9 - 2 + 4 - 9. Calculate y(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 806 - 847 - 3*g. Let x(v) = -2*v**2 + 2*v + 1. Let f be x(3). Let r be b(f). Solve -r*w + 8 - 23 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 60228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-3 - 12) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.4. Let c = -294.3 - -294. Let p = -12 - -7. What is the smallest value in i, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1377*k**2 + 986*k wrt k.\nAnswer: 2754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = q - 20. Which is smaller: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*q - 6*u - 15, 5*q = 3*u + 25. Suppose 0 = j + q*r - 3, -4*j = -3*r + r - 2. Sort j, -23, -1 in ascending order.\nAnswer: -23, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/72*-2)\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 10}. Give prob of picking 1 l and 2 t.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4989958?\nAnswer: 2, 2494979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f + 1. Let r(b) = -4*b + 8. Let d(l) = 4*a(l) - r(l). Determine i, given that d(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*j - 3, 2*j + 25547136*f = 25547132*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.2 (b) 0.06 (c) 0.9 (d) 104 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244152 (base 7) in base 9?\nAnswer: 266601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375491.\nAnswer: 89, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117890232 to the power of 1\/2, to the nearest integer?\nAnswer: 10858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/5)*y**7\/y)**30)**(-26\/5) assuming y is positive.\nAnswer: y**(-5616\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:53 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (2 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536010 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 123671972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.18 - -22. Let x = l + -0.82153. What is x rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*t - 9*t - 92*t to q*t + c and give q.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 8*q - 4. Let f be v(-7). Suppose 2*y = b - 18, y + 20 = -f*y. What is the lowest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**3 - a**2 - 4*a - 4. Let l be d(-1). Let g be 1*((-8)\/12)\/(2\/12). Put 4, l, -1, g in ascending order.\nAnswer: l, g, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 3. Suppose -23*h + 26 = -w - 28*h, 0 = 3*w + 5*h + 38. Let q(n) = -8*n - 5. What is w*q(u) - 10*y(u)?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 19*h - 30 = 13*h. Solve -2*a - 7 - 2 = -5*n, 4*a - h = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/60 + 5*d**4\/8 - 4*d**3\/3 - 6*d**2. Is 11 a factor of g(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 6)*(h - 1068 - 1059 + 2107) to the form b*h + l and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131002?\nAnswer: 2, 17, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 4*x. Let n be a(2). Suppose -3*g + 63 = 3*w + g, n*g = -4*w + 84. Let o(l) = 16*l - 3. What is the remainder when o(4) is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 + 10*q + 19. Let r be d(-5). Let o = 243 + r. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29945.77 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-3) + (-1)\/3. Suppose z + c*z = 6. What is the derivative of -4*r**2 - 2*r**3 + 4*r**2 + 0*r**z + 3 wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 1091.\nAnswer: -11\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b - 8. Suppose -r + 18 - 95 = -b*i, -5*i - 2*r = -110. Let p = i + 6. Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - sqrt(77)\/(-1*sqrt(11)) - -3*sqrt(7)*-4.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -3*g. Solve -3*h = o - 3 - 12, -g = -h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24914.6234 rounded to 0 dps?\nAnswer: -24915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**8\/1120 + 2*j**7\/525 - j**5\/60 - j**4\/80 + j**3\/30 - 147*j**2. What is p in f(p) = 0?\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2201\/(26\/(-6) + 4) - -3. Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Suppose -5*p - 2*j = -j - 138, -2*j = 4*p - 108. Solve -c - 11 = -d + n*d, -3*c - 5*d - p = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = -4*w, 0 = -g - 4*g + w + 27. Suppose 5*q - 5 = g*q. Let v be ((-1)\/2)\/(18\/(-4)). Which is the closest to 2? (a) q (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 0.4, -0.1, 3\/4 in ascending order.\nAnswer: -0.1, 0.4, 3\/4, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3411 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 652 - 638. What is the least common multiple of 63 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4308 = 5831*d - 6549*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 261817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2 = -2*i, 2*i - 7*b = -4*b + 4. Solve i*m - 12 = -2*z, -29*m + z = -30*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30159102923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 3\/2*y**2 + 16\/3*y**3 + 8*y - 23. Is 33 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + -1 + 1.\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -13) + 8 - -56.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**2 + 3*k + 2. Let x be l(-1). Let w be (-3 - 0\/(-5))\/(x\/51). Calculate the greatest common divisor of 323 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -522113056 or -522113057?\nAnswer: -522113057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 34*i**2 + 10*i - 126. Does 30 divide d(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14427 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/3 (c) -2.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q + 4. Let o be y(0). Let a(x) = 4*x**2 + 0*x**3 - x**3 + 1 - 5*x + x + 5*x. Let z be a(o). Put -10, z, -1 in descending order.\nAnswer: z, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 31 = -2*n - 9*b, n - b - 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1701.75 rounded to the nearest 10?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100011010001 + 10?\nAnswer: 100100011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/(-9) + 3)\/6. Let q = 8075 - 8075. Put q, -43, x, -1\/5 in increasing order.\nAnswer: -43, x, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3282221677?\nAnswer: 7, 468888811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27481 + -27478. Solve -88\/17 + 448\/17*c - 590\/17*c**2 + 50\/17*c**p = 0.\nAnswer: 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-8)\/96*-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438428105*a**5 + 15561*a**2 + 10739*a.\nAnswer: -26305686300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - 3. Let d = 47 + y. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 20 = 10*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 234554 + -1?\nAnswer: 234553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1566884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -22*x + 2*a - 790, -3*a = 3*x - 597. Let h(i) = i**3 + i - 2. Let f be h(3). Calculate the greatest common factor of x and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 4, w: 4, i: 6, v: 5, n: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 800 and 38361360.\nAnswer: 383613600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 183\/2, 6\/1049, 5, -1 in descending order.\nAnswer: 183\/2, 5, 6\/1049, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2, 4855, 1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*f - 3, 5*k + 2 = -f + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8565*g**2 + 22*g + 18. Let j(f) = -4284*f**2 + 10*f + 8. Calculate -4*a(z) + 9*j(z).\nAnswer: -4296*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1697*s - 1699*s + 4 = 0. Let u = -2 + 6. Suppose -2 + u = v. Solve -v*z + 8 = s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216778605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 4*l**2 - 3*l**2)*(4 + 4 + 4)*(-2*l + 4*l + 0*l)*(3 - 3 - l).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2566 - 102253*h**3 + 2566.\nAnswer: -102253*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/7 - 725\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q + 6*q - 101*q**2 + q as v + o*q + h*q**2 and give h.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -601*c**3*v + 2*c**3 + 4*c**2*v**2 - 13*c*v**2 + 308*c wrt c?\nAnswer: -3606*c*v + 12*c + 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from {a: 11, e: 1, w: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 581*y - 424. Calculate c(0).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36481*h**3 - 36569*h**3 + 73052*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:32 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*w**3 + 1414*w - 1414*w - 102*w**3.\nAnswer: -479*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1408, -1315, -1222, -1129?\n\"Answer: 93*d - 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 36. Calculate m(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1623, -0.1, -2\/4009?\nAnswer: -1623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(231\/22))\/((6\/297)\/((-20)\/12))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.013 - 2.914. Round b to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/(-8) + (-21033951)\/(-106) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + s - 17, -v = 4*s - 8. Suppose 0 = 4*o - 4*l - 4, -5*o - 5*l = 16 + 9. Is (3 + 507\/(-6))\/(o\/v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*q**4 - 5*q**3 + 704*q?\nAnswer: -204*q**2 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 0.3?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 9:54 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11296029 is divided by 201?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from ffafalafffaffllffffq.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 v when four letters picked without replacement from {w: 7, v: 12}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 + -6.3.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 + 156.7. Let b = -31.9 - x. Round b to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in decades?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:08 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -25855200 to the nearest one hundred thousand.\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 3*a**2 - a + 2. Calculate h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2 = 0, q - 284*v + 8 = -287*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(1\/19)*v))\/v)\/v*(v\/((v*v**(-8\/5))\/v))\/v*(v**16*v)**(-44) assuming v is positive.\nAnswer: v**(-71008\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0*b + 0*b)*(-3 + 1 + 10*b - 1).\nAnswer: -10*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -148cf3f + 3?\nAnswer: -148cf3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -33*b**3 - b**2 - 67*b - 6. Let u(m) = 198*m**3 + 6*m**2 + 401*m + 39. Let k(t) = 26*i(t) + 4*u(t). Find the third derivative of k(c) wrt c.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122635 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -318, -432, -538, -630, -702, -748, -762?\n\"Answer: w**3 - 2*w**2 - 115*w - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 25 = -3*s, b = 3*s - 270. Let h = b - -585\/2. Let -h*r**3 + 0 + 3\/2*r**2 - 9\/2*r**5 + 0*r + 21\/2*r**4 = 0. What is r?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-180)\/(-200) - (2 + (-16)\/10). What is the biggest value in c, 1, -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*p - 100, 5*p - 40 = -2*a + p. What is the least common multiple of 79\/316 - (-126)\/8 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-4 - -2)*2). Suppose 5*o - 2*o - 360 = w. Let y = o + -240. What is y rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10362816377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**2 + 5*d**2 + d**2)*(-500 + 977 - 346) as o*d**2 + m + g*d and give o.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19507666 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 p = -50 + 53. Solve 3*l + p*r + r = 25, -2*l + 10 = r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3\/5, -1, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -377 + 7706. Calculate the common denominator of -101\/16 and t\/(-420) - (-4)\/(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2910884630.\nAnswer: 2, 5, 653, 445771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*n = 325, 2*v + 5*n - 328 = 3*n. Let q = 164 - v. Sort -4, 4, q in ascending order.\nAnswer: -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1558578800 to the nearest one million.\nAnswer: 1559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8*10.09\nAnswer: 80.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(g + 4*g - 2*g) + (5*g - 4*g - 2*g)*((-2 + 0 + 0)*(-1 - 1 + 0) - 92 - 174 + 172).\nAnswer: 93*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 26. Let w be g(-3). Let o = -0.12 + 0.32. What is the smallest value in w, 4\/5, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6946.421km in nanometers?\nAnswer: 6946421000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcfcccfc. What is prob of picking 3 f and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5523 is divided by 502.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5948 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*s + 139. Differentiate 22 + 23 + 12*z**2 - s wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/7 - 200*x**2\/7 - 1756*x\/7 - 1560\/7.\nAnswer: -4*(x + 1)*(x + 10)*(x + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 4587 = 2007 - 5356 for r.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s - 10 = -61*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*z + n + 72, 2*n = 3*z + 80. What is the hundreds digit of 10\/z*(0 + -354)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 9*q. Let p be n(3). Which is smaller: 4\/235 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.924953ml in litres?\nAnswer: 0.006924953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 3392.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:34 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/20*140\/84?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 1. Let a(w) = 2*w**2 + 6*w - 1. Let p(s) = a(s) - 3*g(s). Suppose 4*b + 14 = 2*d, 0*d - 4*b = 3*d - 11. Give p(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = -k, -i = 2*k + 5. Solve -4*q - 2*z - 2 = 0, q + i*z - z = 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 162543 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -9\/565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256 + 248. Is (-3740)\/k - 6\/(-12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 130 (c) 1\/16 (d) 3 (e) 2\/45 (f) -2\/3 (g) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*i - 3 = 3*z, -5*z = -i - 25. Let b be -2 - (-55 + (3 - z)). Calculate the greatest common factor of b and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 35 = -j + 4*r, -4*r = 2*j - 30. Suppose 13 = -j*o - 7. Let i be ((-130)\/(-60) + -2)*-4. Which is the nearest to -2\/3? (a) o (b) -2\/17 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 51 = -4*b - 4*o, -4*o = 4. Let w be (-44)\/b + 54\/(-18). Sort -1\/9, w, 0.5, 1\/4.\nAnswer: -1\/9, w, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 77.3. Round o to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672846273 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-2 - -10) - -30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -130. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 41, -1, -0.6, 4, 4\/101?\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133162.\nAnswer: 2, 139, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -12*r + 48450. Let n(d) = r*d + 46 + 85 + 40. Let y(v) = -38*v - 2. Let z(u) = -2*n(u) - 171*y(u). Let p(c) = 2*c. Calculate z(p(w)).\nAnswer: 76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 9*h - 270. Let r(n) = -2*n**2 + 4*n + 136. Calculate 13*r(q) + 6*u(q).\nAnswer: -2*q**2 - 2*q + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 28\/8*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -107 (b) -4 (c) 0.1 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275839.38 months to years.\nAnswer: 22986.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3053*f - 500688. Give d(164).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 10*n**2 + 16*n + 23. Let k(m) = -m**3 - 5*m**2 + 8*m + 12. Let g(j) = 11*k(j) - 6*z(j). Let d = 4022 + -4028. Give g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 4\/9*k**2 - 2\/9*k**3 - 2\/9*k**4 + 0.\nAnswer: -2*k**2*(k - 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(sqrt(2736)*-1*-3 + sqrt(2736)*2*-1)*5.\nAnswer: 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6505 - -175658\/27. Find the common denominator of 17\/6 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/31)*s)\/s**(-7\/3))**(-18\/7) assuming s is positive.\nAnswer: s**(-1824\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 11*p + 22. Let d be t(9). Suppose -4*w + d = -q, 2*q + 3*w + 20 = 67. What is the lowest common multiple of 10*4*3\/20 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 780, 1404, 2044, 2706, 3396, 4120, 4884, 5694?\nAnswer: 6556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let q = 3 + j. Let h(w) = w**2 - 5*w. What are the prime factors of h(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1462*m**3 + 2*m**2 + 2*m + 1. Does 77 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1017352*q + 546674 wrt q?\nAnswer: -1017352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 0.5 (c) 2\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/84*56*7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 25 = -5*k, 2*c + 7 + 8 = 3*k. Calculate the lowest common multiple of ((-2)\/c)\/(8\/48) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-12 - (3 - -5 - 1 - 7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*((-45)\/14)\/(-5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (39 - 7 - 12) + 13 + -11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**5\/12 + w**3\/3 + w**2 - 6. Let r(f) be the second derivative of n(f). What is the first derivative of r(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let p = -13410 - -13415. Factor -z**3 - p*z**2 - 4*z**3 + 23*z**5 - 18*z**5 + 5*z**j.\nAnswer: 5*z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61831 or 61829?\nAnswer: 61829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2 = 4*z - 5*n, -2*n = -2*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(584*h - 1136*h + 555*h + 632).\nAnswer: -3*h - 632","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6635 - 6513. What is the third smallest value in 2, -2\/7, z, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 23. Suppose -n = -5*w - 3*d, 4*w + 0*d - 8 = -3*d. Let u(j) = 2*j - 2*j**2 + 4 + 13*j**w - 2*j**2 - 3. Determine u(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80872 equal to 80878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156409 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/(-15))\/(6034\/(-8620))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 17, 11, -3, -25, -55, -93?\n\"Answer: -4*n**2 + 14*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1134*i*l**3 - 2*l**3 - 201*l**2 wrt i?\nAnswer: -1134*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/36 + 11*w**3\/9 + 121*w**2\/6 - 63*w. Find f such that l(f) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1689.6 and -16.\nAnswer: -1705.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a - 4*a + 4*a)*(2 - 3 - 1) - 30 + 10*a + 30)*(0 + 3 - 1) + 2*a - 2*a - a + (1 - 2 + 3)*(a + 3 - 3) + 3 + a - 3.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 108*d. Let q(k) = 3*k**2 - 217*k. What is -5*p(n) - 3*q(n)?\nAnswer: n**2 + 111*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 73168 = 4*d + 5*h, h = 2*d - 36584. Suppose -14*i + 10*i = -d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -177*w - 155. Calculate the lowest common multiple of o(-1) and -10*1\/(0 - 1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -548256*u + 548251*u + 95, -3*u - 40 = 17*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 2. Let z(u) = 5*u - 5. Let s = 36 + -31. Let f(p) = s*j(p) + 2*z(p). Let l(t) = -6*t**2. What is f(l(h))?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 76*n**3 + 47*n**3 + 13*n + 47*n**3 + 7*n.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-10))*39\/65?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.32735048 + -0.3273. What is l rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 3, x: 1, d: 7}. What is prob of sequence xds?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3258300 rounded to the nearest 10000?\nAnswer: -3260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -731 - 4?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1647 or -6221?\nAnswer: -1647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11 - 20*t**2 - 81*t - 92 - 3*t**3 - 7*t**2.\nAnswer: -3*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 36 = -5*l, -5*o = -5*l - 50. Suppose 0 = 9*a - o*a + 15. Solve 2*w + 8 = 2*i + w, -4*i = a*w - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n**(1\/9)\/n))\/n*n)\/((n\/(n\/n**4))\/n*n))\/((n\/n**(-8\/3)*n)\/n*n*n**2) assuming n is positive.\nAnswer: n**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**3 - 28 + 28 + 6*b. Let j(t) = 4*t**3 + 3*t. Let c(z) = 5*j(z) - 2*p(z). Find the second derivative of c(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14221231 + -0.2?\nAnswer: -14221231.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 0)*(37 + 53*j - 37) - j - 2*j + 0*j to the form d + r*j and give r.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-26)*(22\/(-10) + 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1144984*b**3 + 1008989*b**2 wrt b.\nAnswer: -6869904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/2*(0 - 10\/15). Suppose 0*t = i*t - 3. Does -2\/65 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:43 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*o - 5)*(0*o**2 + 4*o**2 - 2*o**2) + (-o**2 - 5*o**2 + 3*o**2)*(2*o - o + 0*o) - 3*o**3 + 0*o**2 + 0*o**2 as k*o**3 + l + v*o**2 + t*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 50. Let c(q) = 8*q - 52. Let s be c(a). Let f be 2\/4*0\/3. Solve -11 = s*i - 3*j, f*i + i = -2*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/3 - 85*t**2 - t. Let m(w) = 23*w**2. Calculate k(m(g)).\nAnswer: 184*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-1\/12))\/p)\/(p*p**3)*(p\/(p\/(p*p**2)))\/p**(-2\/21))**(10\/3))**(-11) assuming p is positive.\nAnswer: p**(4565\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 1. Let q be r(1). Let w = -1 + q. Let l = w - -3. 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 m(c) = 13*c**2 + 319*c - 284. Let h(z) = 29*z**2 + 638*z - 559. Let t(g) = 4*h(g) - 9*m(g). Solve t(b) = 0 for b.\nAnswer: -320, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907814305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 + 2*k**2 + (-2 - 1 + 1)*(-49*k**2 + 71*k**2 - 67*k**2))*(-3*k**2 + 4*k**2 - 2*k**2).\nAnswer: -94*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -71*f**3 + 5*f - 5. Is i(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 3, 4*g - v = 169. Let i(u) = u + 13. Let o be i(12). Let k = g - o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 6?\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*j - 1. Suppose 0 = -2*t - j*v - v + 427, -3*t - 5*v + 648 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p. Suppose p = t - 5. Does 3 divide (0 - 1)\/(t\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, u: 3, v: 5}. What is prob of picking 1 v and 3 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-6))\/8 + (-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(156)\/(sqrt(588)*1) + ((sqrt(13) - (-4 + sqrt(52)\/sqrt(4))) + (sqrt(1300) - (sqrt(1300) + -2)))**2).\nAnswer: -216 + 24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-9)\/(-3 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72108702 divided by -6.\nAnswer: -12018117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2507380*o**5 + 28177544*o**2.\nAnswer: -150442800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f - 2*f - 4*f - 12*f. Let b(s) = -3*s. Calculate 7*b(l) - 5*d(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*u + 29, 5*t - 2*u - 189 = -0*u. Let l = t - 37. Solve l = 4*m - 11 + 3, -4*m = d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79403?\nAnswer: 271, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*n + 1, 0 = -3*n - 3*f - 1 - 5. Suppose 5*u + 4 = n*u, 11 = 3*b - u. Solve -b*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -342\/5. Let i = -6 - -1. Let u = i + 10. Sort 0, u, k in decreasing order.\nAnswer: u, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*w - 17 = 33, -4*o - 5*w = 59. Which is smaller: o or -15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -337, 2.968, 22, -5?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Let l(z) be the third derivative of -z**4\/8 + 4*z**2. Determine l(n(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -4\/5*g**5 + 300 - 18*g**4 + 0*g**2 - 68\/3*g**3 + 0*g. Determine j, given that y(j) = 0.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4915, -11, 0.008 in increasing order.\nAnswer: -4915, -11, 0.008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96900 and 7140?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 1954 - 2009 + 4021 = -2*u, 0*s - 2*s - 2*s - 16 = 0 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/25, -4\/47, -445, -1 in increasing order.\nAnswer: -445, -1, -4\/47, 2\/25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from ggggedaqggggggdaeggg.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - f + 1, -3*c - 2*f = c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**3 + 9*i**3 - 33*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x**1)\/x)\/x*x)**22\/(x**(-3)\/((x*x\/x**(-5\/3))\/x))*x**(-1)\/x**(-6)*x**(-2\/15)*x*x*x\/x**6*x assuming x is positive.\nAnswer: x**(788\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r - 7. Let w(j) = -21*j - 28. Let f(d) = -9*m(d) + 2*w(d). Let i = -26 - -21. Give f(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 k when four letters picked without replacement from {q: 1, p: 1, g: 5, k: 3, r: 4, e: 3}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + 5. Let z be o(4). Suppose 0 = -4*l - 0*h + 3*h + 13, -5*l + 4*h = -16. Suppose -5*d - l + 19 = 0. Solve 10 = d*g - z*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - (-3 - 1)) + -27. Let b = n - -28. Is 42 + 0 + (-2 - b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98846147 and -3.\nAnswer: -296538441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-225)\/(-3)))\/(1\/8)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 564*f - 23704. Give b(42).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2\/9*a**3 + 0*a**4 + 0 + 2\/9*a**5 + 0*a**2 + 0*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588296 and 1466512.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5770684889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17802, 35577, 53342, 71091, 88818, 106517?\n\"Answer: -a**3 + a**2 + 17779*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*d - 164551 + 164593, 58 = -4*c - 2*d for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 2, p: 1, h: 4, q: 3}. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + (8136\/10)\/4. Let n = h - 197. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 15. Find the third derivative of -d**2 + 6*d**3 + d**3 + b*d**3 wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 64*a - 154*a + 90*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 + 0.4. Let k = -3.2 - t. Let x = -2.04 - -0.04. Which is the second biggest value? (a) -5 (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 376\/35)*310\/32. Let h = a - 347\/8. Suppose 12\/7*w**2 + 0*w + 0 + 30\/7*w**3 + h*w**4 = 0. What is w?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1\/(-4)*24. Let j = -15 - s. Is j <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-2) + (-100)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -14*t**2\/5 - 1664*t\/5 - 33666\/5 = 0.\nAnswer: -93, -181\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 10) to base 6\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*y, -2*n = n - 5*y + 22. Suppose 3*j - 87 = -27. Suppose 0 = k - 5*k + j. Calculate the greatest common factor of k and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -169438*l + 169425. Calculate r(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*y + 12, -7 - 3 = -2*y. Suppose -2 = l*k + 6, -r = -2*k - 81. Let u = r - 40. Calculate the highest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 289928 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1619.489 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -27*j**3 + 28*j**3 + 2*j + 2 + 3*j**2 - 4*j**2 - 1. Let x be k(-2). Is 45 a factor of (-108)\/x*-1*(-29 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.44 + 0.0193?\nAnswer: -73.4207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 take away 40569?\nAnswer: -40568.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*b + 38*b - 873 + 247*b + 873.\nAnswer: 397*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 2*f - 7. Suppose q + 2 + 1 = 0. Suppose -4*v + 4 = 36. Let t be 1*(-1 + v + 4). Let s(a) = a**2 + a + 4. Calculate q*x(w) + t*s(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*11936.\nAnswer: 1193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 6. Let f be 1*q - (-16503)\/3. What is f rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*m - 117 = 774. Solve -37 = -m*o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 + -5.8. What is the fourth biggest value in 4, -3, v, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*1*3\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*l**3 + 1399*l**3 - 959*l**3 + 89*l - 89*l.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/((-12)\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*w - 1288, -4*h - 19*w = -20*w - 2596. Calculate the highest common factor of 175 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 204 = 2*v + 3*v, -74*v = -4*o + 2910 + 210 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5325104 - 751.14.\nAnswer: -5325855.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 7423*b - 7427*b - v, 3*b + 4*v = 4 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*d**4*g**3 + 7*d**4*g*o + 8*d**3*o - 2*d**2*g**3*o + d**2*g - 97*d**2 - 6*d*g*o wrt d.\nAnswer: 288*d*g**3 + 168*d*g*o + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -787711720\nAnswer: -787711725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w + 10. What is the remainder when j(-3) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16*m**2. Let y = 11 + -10. What is the tens digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37661308.\nAnswer: 2, 9415327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -20.428, 0.5, -1146?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 1 - -5*sqrt(208)) + ((sqrt(130) + 1*sqrt(130)*-2 - sqrt(130))\/sqrt(10) + -2)**2.\nAnswer: 57 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -49*s + 45*s. Suppose 0 = -3*f + 12 - 30. Let o be ((-6)\/4)\/(f\/16). Solve -s*t + o = -6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = -30. Let t = 23 - w. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 3. Let d(g) = 7*g - 4. Let s(k) = -5*b(k) + 2*d(k). Calculate s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 - -192?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 429.8321 to one dp.\nAnswer: 429.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Suppose -5*k + 8 = -q*k. Let h be k + -15*(-3)\/(-12). What is the nearest to -0.1 in -1, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 1. Let z(s) = s**2 + 5*s + 6. Let d(n) = -2*c(n) - z(n). Let x = 213 - 219. Calculate d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, c: 2, b: 3, g: 2}. What is prob of picking 1 b, 2 w, and 1 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*b + 2*v = -424*b - 24, 5*v = 5*b - 30. Solve b*k = -4*u - 4, -3*u + u = 3*k - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272241583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-5*o + 5*o + 3*o**2).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-7 - -2)) + -34 + 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*u + 71*u - 4272 = 0 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:59 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -60081, 511, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 + 717*c**4 + 140940*c**3 - 24035088*c**2 - 2329612032*c + 4754225520 = 0.\nAnswer: -165, -82, 2, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11 = 1. Suppose -5*d + 4*z + 3 = 0, -d - 4*z + 5 = -10. Let c(u) = 4 - 2 + u**d - u**2 + u - n. Calculate c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284 - 2*p + 230 - p to u + d*p and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -13*u**8\/336 - u**6\/30 + u**5\/60 - 9*u**3 - u**2 - 82*u. Find the third derivative of q(g) wrt g.\nAnswer: -780*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67994616 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2 - 74241090*y - 459311620365675 = 0.\nAnswer: -12373515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t**2 + 18*t + 5. Let l(g) = -15*g**2 + 27*g + 8. Let y(n) = -8*f(n) + 5*l(n). Let j(s) = -s. Give y(j(c)).\nAnswer: 5*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(6776) + sqrt(6776) + 3*sqrt(6776)))\/(sqrt(80)\/(-4*sqrt(40)\/sqrt(4)))*-3.\nAnswer: 3960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 457.3659878 to two dps.\nAnswer: 457.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -782 + 862. Suppose 0 = -20*n + 16*n + h. Which is smaller: n or 127\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.51, -25, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, -0.01 in increasing order.\nAnswer: -5, -0.01, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 5:23 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 16, -35 + 52 = -i + 4*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130222 - -1?\nAnswer: -130221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -12. What is the remainder when w is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017312878 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 3*c**2 - 1. Let j = 32 - -5. Calculate the remainder when j is divided by w(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174363787?\nAnswer: 13, 359, 37361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1791694 + 12?\nAnswer: -1791682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2669930*r**3 - 2669934*r**3 + 5339870*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/3 + 13*s**2\/3 - 40*s\/3 = 0.\nAnswer: 0, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 4*u - 2. Let a be m(4). Let t be -3 - (-7)\/(a\/432). Suppose 0 = 4*i + 4*d - 288, 5*i = 2*i - 2*d + t. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7041\/7 not equal to -1005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxt when four letters picked without replacement from tbtbqtbxxbxob?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 + 10*n - 1. Let r(s) = -4*s**2 + 9*s - 1. Let k(x) = -5*o(x) + 6*r(x). Determine k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142\/773 or 0?\nAnswer: 142\/773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2619*w - 38830. Give s(15).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 2*k + 9. Let q be j(4). Sort q, -2, -1.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1928 + 3856. Suppose 732 + r = 7*w. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 127*q**8\/336 - 213*q**4\/4 + 3137*q**2. What is the second derivative of m(h) wrt h?\nAnswer: 2540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 339 - 167. Suppose 3*i - 1514 - l = 0. Let k = -358 - i. Round k to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21319.58 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1710 + 8*b**2 + 21*b - 22*b + 4*b**2.\nAnswer: 12*b**2 - b + 1710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*m**2*w*z**2 + 2*m**2*z**2 - m**2*z + 21594*m*w*z**2 + m*z**2 - 10*m*z - 11053*z**2 wrt w?\nAnswer: 19*m**2*z**2 + 21594*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/19 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 211*g**2 - 6*g**5 - 211*g**2 + (0 - 2 - 2)*(-2*g**5 + 0*g + 0*g) + 10*g**2 + 2*g**5 - 10*g**2.\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1. Let j(l) = -6*l - 3. Let p(z) = j(z) - 3*v(z). Let i(c) = 5*c. Determine i(p(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -17*j**6\/3 - 4*j**5\/5 - 200*j**3 + 19. Find the third derivative of b(d) wrt d.\nAnswer: -2040*d**2 - 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*r + 17 = -150*r. Sort 4, 1\/4, 1\/5, r in increasing order.\nAnswer: r, 1\/5, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 140 (b) 5 (c) 13 (d) 0.3 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224626?\nAnswer: 2, 13, 19, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n - 12. Suppose -5*w + 50 = -5*u, -12*u = -4*w - 9*u + 39. Give i(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7889\/483 + (-944)\/60?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.4 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001 (base 3) to base 8.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/105 + 3*q**5\/35 + 6*q**4\/7 + 40*q**3\/21 - 611*q. What is o in y(o) = 0?\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221323131 - -1210?\nAnswer: -221321321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 633636, 1267251, 1900864, 2534475, 3168084, 3801691, 4435296?\n\"Answer: -a**2 + 633618*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -6, -113, 0, -3801 in descending order.\nAnswer: 4, 0, -1, -6, -113, -3801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (31 + -21)*(0 + (0 - -1)). Solve -12 = -p*c + 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:51 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 3:20 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/42*(-5)\/(-60)*42\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -10242\/745 and -14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + u**5 - u**3 + (2*u**5 - u**5 + u**5)*(-2 + 1 + 3) - 3*u - u**5 + 3*u + 3*u - 3*u + 2*u**5 + (7*u**3 + u**3 - 7*u**3)*(2 + 2*u**2 - 2).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1941 is divided by 646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 864 divided by 2211\nAnswer: 288\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 0*m**2 - 3*m**2)*(m - 2*m + 0*m)*(0 - 3 + 1)*(-9 + 6 + 10).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*r + 40*r - 105*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*i**4 + 338 + 32*i**4 - 12*i**4 + 19*i**4 with respect to i.\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.43 + -0.43. Let t = -9 - -4. Which is the closest to 0.1? (a) s (b) 4\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimmdimmmdiidpiii. Give prob of picking 1 m and 3 d.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a hour in seconds?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxsexxxxsxeeses. What is prob of picking 2 x and 2 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*v + 31. Let y = -1 + v. Suppose 268 - 100 = 3*k + 2*m, -3*k + y*m + 153 = 0. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 857, 860, 873, 902, 953, 1032, 1145?\n\"Answer: w**3 - w**2 - w + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*1*5 + 1. Let b = x + 50. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20101 + 4?\nAnswer: 20105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1)\/(3\/(696\/16)). Suppose -35*j + r*j = -2250. Does 43 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5393 + 5647. What is the smallest common multiple of 127 and b?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -5*x - 12. Let g = x + -1. Suppose g + 8 = -5*r - 5*o, 0 = 5*r - 4*o - 26. Calculate the remainder when 7 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 3.1, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -818.611 + 857.6. Let j = -33.8 - 5.2. Let h = j + k. Round h to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670 = -3*w + 2710. Suppose -16*b - w = -12*b. Let q = b + 340. Round q to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 41\/(-30) - 2\/(-3). Let y = -6\/5 - n. Is y less than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 66*k - 69*k + 5, -3*k = 3*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2*l - 3*d**2 - 14657*d*l + 573*d + 1064933192*l wrt d?\nAnswer: 2*d*l - 6*d - 14657*l + 573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 5*n**2 + 4*n - 2. Let o be h(3). Let g be o\/2 + (-28)\/56. Let k = -29\/95 - -2\/19. Which is the nearest to 2\/3? (a) g (b) k (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/5)*z**(-3\/4) assuming z is positive.\nAnswer: z**(-11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*v**2 + 7329*v**3 - 7*v**2 - 7330*v**3 + 24*v**2.\nAnswer: -v**3 - 28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/3 and -9\/45675610.\nAnswer: 137026830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/2 - 20813*u - 957927\/2 = 0. What is u?\nAnswer: -23, 41649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqkqrqqqqmmqqqqlm. What is prob of picking 3 m and 1 k?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 20. Let b(a) = 8*a + 16. Let k be b(7). Let g = k + l. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 7. Suppose 0 = -a + 5*h - 3, 0*a + 2*h + 24 = 4*a. Let b be p(a). Let x = 27 - 27. Solve -3*s + x*s - 17 = 2*w, -3*w - 2*s - 13 = b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnfnfnnnnf.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4790 - 1622. Let t = 3169.319 - g. What is t rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 1.71. Let k = -1.5 - o. What is the third smallest value in k, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2528685 to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21636, 2, -3, -208.\nAnswer: -21636, -208, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {q: 3, y: 1, a: 1, x: 3, p: 2, o: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 245\/3317 - 1\/107. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 b when three letters picked without replacement from sbbbbsbb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 239, -1.27, -3\/7, 2\/3, -3\/34, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 724608 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13552*g + 1078852 - 552364 = -815160 for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 50745 = -3*x, 0 = -4*m - 4*x - 2278 + 42842. List the prime factors of m.\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 266 - 87 - 92 + 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/152936 and 115\/229404.\nAnswer: 458808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17906, -5 in ascending order.\nAnswer: -5, 3, 17906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -231\/5 (b) -18\/23 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxpgmmmmgtgxpg. Give prob of picking 1 g and 1 t.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 74*a - 3259. What is i(31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-6 - 4) + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129822 and 1848?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107492721?\nAnswer: 3, 7, 731243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 8*m**3 - m**3 + 2*m**3 - 2*m + 1 to the form s*m + y*m**3 + l*m**2 + u and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 23)\/((3 - (-12)\/(-3))\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 96\/(-432) - 367\/252. Let j = -19\/12 - z. What is t in 0 + j*t + 2\/21*t**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*b - 47*b - 1615 - 369. Solve 69 = 11*s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2160009 - 2*x**3 - 2160009.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c = 5*b - 22*c + 45, 3*b + 43 = -5*c for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 11. Let i(w) = -2*w + 11. Let c(n) = 3*i(n) + 2*z(n). Let x be c(-8). Suppose t + 0 = x. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 4*h - 4 = 31*d, -5*d = 2*h - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**28\/(d*(d*(d*(d\/d**(-15))\/d)\/d)\/d)*(d**(3\/4))**(-26))**(-2\/7) assuming d is positive.\nAnswer: d**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 14*x - 15. Let m be u(-13). Let t be ((-1)\/(-3))\/(m\/(-6)). Solve -t = -b + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6\/4*(-16 - -20) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -62, -71, -72, -59, -26, 33, 124?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = 29*n - 1584. What is the greatest common divisor of n and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -190*24\/(-840)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-100)\/750)\/(2\/10))\/(8\/276)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5743400911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058*u + 1051*u = -14. Solve -3*o + 3 = 0, -7*l = -3*l - 2*o + u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -606 - -621. Let p be (-12)\/m*17*120\/(-16). Calculate the greatest common factor of p and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-12) + 8 + -70 + 77.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28987, 29115, 29205, 29257, 29271?\n\"Answer: -19*p**2 + 185*p + 28821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57\/97 or 2?\nAnswer: 57\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44393 and 57371.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:26 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2054 - 2*j + 6132 - 2062 - 2052.\nAnswer: -2*j - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**2\/b)*b**(-15))**(4\/7))**(4\/19) assuming b is positive.\nAnswer: b**(-240\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 48*h - 14280. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:41 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -114891.5 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97602933 a multiple of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 y when three letters picked without replacement from {z: 1, t: 1, b: 3, y: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i. Suppose i*q + 117 = 3*q. Let o(x) = -x**2 - 12*x + 2. Let j be o(-11). Calculate the highest common factor of j and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1319522476 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/15 + (-17)\/(-35). Let k = -346.57 + 0.57. Let b = k - -342. Put b, -2, r in ascending order.\nAnswer: b, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 6*z. Let r(l) = 5*l. Let y(p) = -5*i(p) - 6*r(p). Let t(v) be the third derivative of -v**4\/12 + 2*v**2. Give t(y(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -41.73. Let z = -0.07 + j. Let b = 0.505 - 0.005. What is the closest to -2 in b, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 108 (b) -2\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7946*b + 8441*b - 2 - 15616*b)*(8*b - 8*b + 3*b**2) as y + s*b + z*b**3 + l*b**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60029*a**4*q**2 + 1807*a**2*q**2 + 2*q**2 - 6800*q - 236 with respect to a.\nAnswer: 240116*a**3*q**2 + 3614*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 5*f**3 - 13*f**3 - 18*f**3)*(-27 + 287 + 150).\nAnswer: -410*f**4 - 10660*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11712*n + 31385*n + 23017*n.\nAnswer: 66114*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = 3*f + x, 12 = f + 5*x. Let g(r) = r - 8. Let h be g(f). Let l = h + 65\/4. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5\/(-15))*-1*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -0.31?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*k - 29. Let r = -61 + 66. Let d(q) = 3*q**2 - 5*q - 8. Let w be d(r). Calculate the highest common divisor of w and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14084*j + 6016*j**3 - 11*j**2 - 17 + 14084*j - 205*j**2 wrt j?\nAnswer: 36096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4) - 18\/((-6732)\/(-1003))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/(-1 - -2). Let s be 6\/(2 + -5)*x. Suppose 0 = -3*a + 9. Solve 4*v + 2*i + 16 = 0, -6*v + 2*i + s = -a*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/20 and 1218\/216 + -2*(-15)\/(-10).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 20*x**2. Let b(m) = 51*m - 51*m + 3*m**2. Determine b(p(n)).\nAnswer: 1200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.34 and -0.0578?\nAnswer: 0.019652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77771872 is divided by 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from iak?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4, -1418, 369, -7 in decreasing order.\nAnswer: 369, 4, 1\/4, -7, -1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 45. Let u be 8\/20 - h\/5. Solve 3*q = u*o - 12, 4*q - o + 14 = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 50 - x - 62 + 174 - x.\nAnswer: -2*x - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006*a**2 + 605*a**2 + 401*a**2 + 3*a + a**3.\nAnswer: a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304232 + -4?\nAnswer: 304223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 78*i - 2 + 111*i as b + s*i and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27594939.\nAnswer: 3, 113, 81401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-44)*(8 - 16\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9065 - 8962. Solve -16*k = -7 + z for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-2)*(1 + -3). Let j be 2\/(-7) - (-32)\/v. Solve -j*z - k = -0*k, -13 = -3*z + 5*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Let p = -398271 - -398274. Which is the closest to p? (a) 0 (b) -2 (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pidyo. What is prob of sequence py?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -3569269\nAnswer: -3569269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-15)*-2 + 1027\/5. Calculate the greatest common factor of s and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46221*h**6 - h**3 - 1261*h**2 - 12.\nAnswer: -5546520*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdyd when four letters picked without replacement from yyfyvdfycydyyeyyyy.\nAnswer: 11\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -349*i**4 - 16*i - 14?\nAnswer: -4188*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(45) + -3)**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18350?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10635259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 6*m + 0*m)*(3*m + 2*m - m) to the form j*m + g*m**2 + k and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o - 5. Let l(j) = -15*j + 5. Let f(b) = 4*h(b) + 3*l(b). Let c(d) = 6*d - 3. Let a(k) = k**3 + k**2 + k - 7. Let v be a(0). Give v*c(z) + 4*f(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5523836 by -2.\nAnswer: -2761918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u + 5 = -q, -u = q + 11. Let p(o) = -o**2 - 10*o + 14. Let d be p(q). Solve 3*c - 1 = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10412 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 101, -5, 28, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157890576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p + 0*p)*(2*p + 4*p - 5*p)*(-5 + 1 + 2)*(-101*p**3 + 316*p**3 + 1428*p**3).\nAnswer: -6572*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0, -5, -171, -1\/561.\nAnswer: -171, -5, -1\/561, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86.05 - 92. Let p = h + 6. What is the second biggest value in p, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421310933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -6\/5*i**5 + 7 + 0*i**2 - 7*i + 0*i**3 + 0*i**4. Find the first derivative of u(j) wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 0*p**2 + 2*p**2 + 0 - 1 + 2*p**4 - 1 in the form z*p**2 + q + h*p**4 + b*p + t*p**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (16 - (13 + 9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19501*l - 1092021. Calculate g(-56).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1079799, -2159580, -3239361, -4319142, -5398923?\nAnswer: -6478704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395467 or -5141079\/13?\nAnswer: -5141079\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 7*r + 8*r - 1023*r**3.\nAnswer: -1023*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 0.6. Let x = -2.8 - -0.6. Let y = x + 1.9. Is y at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -0, -5*w + 19 = -4*y. Let n(f) be the third derivative of f**2 + 0*f - 1\/24*f**4 + 0*f**w + 0. Let g(l) = -2*l. What is g(n(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k. Let s(h) = 85*h**2. Calculate s(z(a)).\nAnswer: 3060*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -485, -745, -1005, -1265?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.980883 decades?\nAnswer: 0.0980883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x + 15. Let k be f(2). What is the common denominator of -3\/28 and (1224\/16 + 1)*k\/(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35375 * 7.3\nAnswer: -258237.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 753229, 753243, 753257, 753271, 753285, 753299?\nAnswer: 753313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, 1591, 6095, 14867, 29329?\nAnswer: 50903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229125.\nAnswer: 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q + 2*j = 50, q = -3*j - 24. Let x be 6\/(-27) + (-76)\/q. Suppose -3*r + 4*o - 359992 = -5*r, 719998 = x*r + o. Round r to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 + 1060 + 40*q + 2*q**2 - 1060.\nAnswer: -12*q**3 + 2*q**2 + 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 34*g = 4*g. Suppose 4*t + 18 = -3*p - 10, 5*t = -5*p - 30. Put 3\/5, t, -2\/7, g in descending order.\nAnswer: 3\/5, g, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/3 - 8143*j**4\/3 - 21701*j**3 - 187133*j**2\/3 - 227792*j\/3 - 32540 = 0.\nAnswer: -8135, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (48\/(-2) - -5) - 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 728616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1013 - -1029) + (-2 - 27)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161 + 156. Sort 13, c, -4 in ascending order.\nAnswer: c, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from annp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 52999. Let h(f) = 2*f + 104. What is h(t(c))?\nAnswer: -2*c + 106102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1700) - sqrt(1700) - -1*sqrt(612)) + -5.\nAnswer: -6 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 divided by 5504?\nAnswer: 705\/5504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287*r**2*w**3 + 54*r**2*w**2 + 2*r**2 + 4*r*w**3 + 1 wrt w?\nAnswer: -1722*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4 + 5. Let h be (-2)\/t*(4 + 5). Suppose 0 = -d - y + 20, -3*d - h*y = -86 + 29. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 10337613 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 38 = 12*n, -4*n + 1049 = -2*v + 1209 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -561 + 2*s**3 + 0*s + s**4 + 2*s - s**2 + 2*s**3 + 5*s**3 + 505 to r*s + h*s**2 + b*s**3 + p*s**4 + f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(27)\/sqrt(3) + sqrt(9))*-6 + sqrt(9))\/(sqrt(75) + (sqrt(75) - ((-2*sqrt(75) - sqrt(75)) + sqrt(75))) - sqrt(75) - sqrt(75) - sqrt(75)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5569.96 + 5481. Let x = -89 - y. What is x rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2 + 26*n + 5. Let z(u) = 10*u**2 + 23*u + 4. Let w(g) = 4*j(g) - 5*z(g). Let p(c) = -3*c**2 - 4*c. Determine 17*p(x) - 6*w(x).\nAnswer: 9*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72.69204 tonnes?\nAnswer: 72692040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4602*2361\nAnswer: -10865322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -19*7\/(-35) + -4. Suppose -10 = 4*j + 2*c, 0 = 4*j + 5*c + 6 + 19. Are d and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3 + 0*k**2 + 0 + k**2 - 3. Let a(w) = w**2 - w + 5. Let s be a(0). Let f be u(s). Calculate the highest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilogram in grams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5 - 9. Suppose -2*g - 2 - 18 = -4*l, -5 = -l - j*g. Do l and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17841 + 45476. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let d(v) = 56 - 243 - 813*v**2 + 134 + 53. Calculate w(d(r)).\nAnswer: 1626*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -196*p. Let i(y) = -5 + 22 - 17 - y. Determine i(b(a)).\nAnswer: 196*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2271, 2170, 2015, 1812, 1567, 1286, 975?\n\"Answer: g**3 - 33*g**2 - 9*g + 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60726659 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -8926\/97. Is -1 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165 - -85.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 37808259?\nAnswer: -3780825.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99082 divided by 4.\nAnswer: 49541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -5*y**4\/6 - 5*y**3\/12 + 25*y**2\/4 - 16*y - 1. Factor j(f).\nAnswer: -5*(f - 1)*(4*f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/608*(372\/279 - (1 + 10\/(-6))).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -6, 6, 1 in decreasing order.\nAnswer: 6, 4, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**(-2\/13))\/(t\/t**(-4\/7))*(t**(7\/2)*t)\/t**(-2))**(6\/31) assuming t is positive.\nAnswer: t**(4245\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {z: 2, p: 1, y: 3, m: 3, h: 2, e: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 8*z + 7. Let q(l) = -l**2 + 13*l - 7. Let f be (13*-1)\/(1\/(-1)). Let i be q(f). List the prime factors of s(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -265, -273, -293, -331, -393, -485, -613?\n\"Answer: -h**3 - h - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let a(k) = -14*k. Let s(o) = -o**2 - 9*o + 686. Let u be s(22). Determine u*f(l) - a(l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**3 - 5*y**2 - 14*y. Let p(v) = 6*v**2 + 19 - 19 + 3*v**3 + 13*v. Let f(h) = -5*p(h) - 6*t(h). What is the second derivative of f(a) wrt a?\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -964*u**2 + 315*u**2 + 318*u**2 + 316*u**2 + 3*u - 3*u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**3\/6 + 2*k. Let c(u) be the second derivative of u**4\/4 - 331*u. Give c(p(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = 32*k + 50*k - 558 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1406 is divided by 102?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*d**2 + 2)*(-9*d**3 + 7*d**3 - 2*d**3) + 45 + 7*d**5 - 45.\nAnswer: 27*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i + 3*o = 0, -5*i + 3*o + 3 = 0. Suppose -5*s = -i*s - 4. Solve -s*r = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**3 - 36*r**3 + 358*r**2 + 68*r**3.\nAnswer: -2*r**3 + 358*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - 48 - (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 times 1.1?\nAnswer: -58.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*c + 212 - 43 = 0, 4*y - c - 371 = 0. Differentiate 43*s**2 - 69*s**2 + 26*s**2 - y + 2*s**3 + 13*s with respect to s.\nAnswer: 6*s**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/(-2))\/4)\/(-2). Sort -17, -4, b, 1 in increasing order.\nAnswer: -17, -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420430 (base 6) to base 2.\nAnswer: -1000010001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 6*(-51)\/6. Suppose -52*o = -d*o. Solve 3*h = h - 3*s + 5, o = 5*h - 2*s - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.05 (b) 0.8 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*u + 40, 34*u + 84 = 38*u - 5*l. Suppose b - 4*c = 6*b + u, b - 5*c - 20 = 0. Solve a - 19 = -4*f - b, -4*a - 4 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c + 9?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 6)*(2*v + 6 - 6)*(4*v**4 + 4*v**4 - 6*v**4).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**5\/15 - b**4 + 32*b**3\/9 + 682. Determine g, given that t(g) = 0.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 219 - 720937?\nAnswer: -720718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267.2085184 rounded to 1 decimal place?\nAnswer: 2267.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5 = 4*j - 5*j, -874 = -l - 4*j - 854 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (-5 - (0 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + 2*v**2)*(0 - 2*v**2 + 0) + v**3 - v**3 + 6*v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(0*s - 4*s + 2*s) + (-2 + 5 - 2)*(4*s + 2*s - 2*s) + 3*s + 0*s - 4*s in the form g*s + d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2 - 3)*27375\/(-2190).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 6*b + b)*(-2*b**4 + 0*b**4 + 3*b**4) + 12 - 1122*b**5 + 2249*b**5 - 1115*b**5.\nAnswer: 4*b**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 900.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*c + 1036*c + b - 15 = 0, 2*c - 5*b + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + p + 2*p**2)*(-3 - 1 + 2) + 2*p**2 + 3*p**2 - 4*p**2 - 55 + 390*p**2 + 181 - 67 - 59)*(0 + 1 - 3).\nAnswer: -774*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 120 + 117 = 0. Put 10, -3, -5, u in descending order.\nAnswer: 10, u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 288452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 922508, 1845017, 2767526, 3690035, 4612544?\n\"Answer: 922509*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 5*x + (-3 + 3 - 2*x)*(-2 - 2 + 2) - 4*x + 2*x + 3*x)*(-1 + 5 - 2)*(-4*x + 2*x - 4*x).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3\/3 + 3*k**2\/2 - k + 782. Let j(c) = c**3 - 7*c**2 + 2*c - 9. Let s be j(7). What is i(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71466388079 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 -380123, -760278, -1140433, -1520588, -1900743?\n\"Answer: -380155*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + b)*(-2 - 5 + 5)*(-1 - 7 + 1).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 24*i**2 - 24*i + 22. Suppose 4*t - 3*l + 4*l = -50, t = -3*l - 7. Give v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 20*n + 13. What are the prime factors of r(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77.572 - -66.6. Let r = 11 + h. What is r rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18000, -3, 39, 0, -2 in descending order.\nAnswer: 18000, 39, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:22 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3048)\/(-4953)*((-65)\/(-150))\/1?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 794375 divided by -2\nAnswer: -794375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/118491 or 0?\nAnswer: 20\/118491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 11*s**4\/6 + s. Let c(n) = -2757*n**2 + 5515*n**2 - 2759*n**2. What is g(c(a))?\nAnswer: 22*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, i: 1, c: 8}. What is prob of sequence ig?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -269, -608, -1071, -1652, -2345, -3144?\nAnswer: -4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 - (-44)\/(-143). Let t be (-270)\/52 + 1 - -4. Let w = t + g. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -17. Suppose -2*i - 285 = -w + 2*w, h*w + 6 = 0. Let s = i - -2960\/21. Are 0 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750074798.\nAnswer: 2, 11, 179, 190471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 - (-1 - 4) - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -1. Let x = -8791\/252 - -244\/7. Let j = x - -1\/9. Which is the nearest to -2? (a) j (b) g (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -200\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/49228 and -45\/32?\nAnswer: 393824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 790*p**2. Let g(n) = 2*n. Determine g(w(q)).\nAnswer: 1580*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 63*z + 5 + 60*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653 - 23*w - 545 - 108.\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -6885\nAnswer: -1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**3 - 6*y**2 + 6. Let p(h) be the second derivative of -h**5\/20 - h**4\/12 + h**2\/2 - 30*h - 4. Suppose 0 = -m + 2 - 1. Calculate m*f(q) - 6*p(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29462, 11, 1, 3, 4, 2 in ascending order.\nAnswer: 1, 2, 3, 4, 11, 29462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s + 0*s)*(4 + 0 - 3) + 4*s - 1 - 3*s + 0 + (-16*s + 7*s - 7*s)*(-10 - 1 + 70).\nAnswer: -941*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -32.4. Let p = -0.3 - -0.9. Let u = p - i. What is the second biggest value in u, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06912 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 64*i + 801. Give p(47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19486598 is divided by 1986?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 14. Let w(d) = -2*d - 5. Give -3*b(v) + 8*w(v).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 29)*(-23 + 86)\/63.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 2*g**2 + 3*g + 2. Let r be d(-3). Let i be 0\/(-1)*2\/r. Which is the third biggest value? (a) i (b) 3\/2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359936*r**5 + 2*r**4 + 1021*r**2 + r - 31.\nAnswer: 21596160*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114 - (-15 + (-5 - -5) + (-5 - -2))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*i**2 + 205*i + 22261 wrt i?\nAnswer: -28*i + 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -384\/13 - -3287\/117. Let d = -2278\/3 + 4471\/6. What is the common denominator of k and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 28*r. Let p(n) = -29*n. Let o be -2 + 4 + 6 - (16 - 14). Give o*d(x) + 7*p(x).\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-4)\/(-6264)*-3). Let l = -245 - r. Solve l*a - 20*a = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/2 of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - 114\/(-15). Suppose u + 8 = -4*q. What is the units digit of q\/(-6) - (-39)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*z - 65326, -z + 72377 = 2*p + 7051. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.87 + -1.67. Let x = 0.112 - k. Round x to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000254 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 157 = -2*y, 4*y = -4*o + y + 210. Suppose -144 + o = -t. What is the remainder when 275 is divided by t?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306005 is divided by 305987.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m**2 + 3*m. Let k be d(2). Let t = 33 + k. Calculate the greatest common divisor of t and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/6 + (-2250)\/420.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 9*x + 7. Let q = 98 - 108. Let d be r(q). Put 0, 6, d in descending order.\nAnswer: 6, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3688*l**2 - 2471389*l + 2471389*l + (3*l - 5*l + 4*l)*(-2*l + 3*l - 3*l) + 2*l**2 + 1 - 1 + l to y + v*l + w*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*x - 48*x + 168. Let q(f) = f**2 + 1. Let g(l) be the first derivative of -5*l**3\/3 - l**2\/2 - 5*l - 1. Let i(t) = -g(t) - 6*q(t). What is i(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7809 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 11)\/(2\/(-4)). Suppose 4*i = d*i - 20. Suppose -4*y - i = -29. Solve 4*q - q - y = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(52) - sqrt(156)\/sqrt(3)*-1))\/(sqrt(16)*3 - (sqrt(576) + 1*sqrt(576) - sqrt(576))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40732 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 176773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.042645 - -0.0429. Round t to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4559 <= -500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5684 is divided by 942?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**6\/135 - g**5\/15 - g**4\/54 + 8*g**3\/9 - 16*g**2\/9 + 2*g + 10. Factor m(k).\nAnswer: -2*(k - 1)**2*(k + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12439646 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -142052 (base 6) to base 8\nAnswer: -32160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1195*b**6 + 4*b**5 + 11*b**3 + b**2 - 802*b - 171 wrt b.\nAnswer: -143400*b**3 + 240*b**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1868 + 1856. Let n = 360 - 840. What is the units digit of (c\/(-15))\/((-6)\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 + 108*q**2 + 3465*q - 124950 = 0 for q.\nAnswer: -34, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 26, 3, 40, 197, 534, 1111, 1988?\n\"Answer: 10*u**3 - 60*u**2 + 87*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b1430b (base 12) in base 15?\nAnswer: -b78c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.082 - -0.118. Let m = 4.92 - -0.08. Let w = -30 + 30. Which is the smallest value? (a) m (b) 2 (c) w (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139 - 111. Suppose 13*l - f = -l. Suppose 4*m = 3 + 1. Calculate the highest common divisor of m and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(3 + 6*(1 + sqrt(12))*-5)*-3.\nAnswer: -360*sqrt(3) - 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*r + 4, -5*j + 3*r + r = -9. Let l be j*203 - 0 - 2. Suppose 0 = -k - 2*k + l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 177*d - 8837. Calculate x(39).\nAnswer: -1934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w\/w**(-3))*w)\/w*w))**(2\/5)\/(w**(-1)\/w)**(-49) assuming w is positive.\nAnswer: w**(-484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let t(y) = -778706*y**2. Calculate t(v(r)).\nAnswer: -3114824*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)\/h*h)**(-2\/51)*h**4\/(((h\/(h**(-3\/32)\/h))\/h*h)\/h) assuming h is positive.\nAnswer: h**(5447\/1632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 38867184*h**3 + 125888204874666*h**2 - 251776293147792*h + 125888127140307.\nAnswer: 3*(h - 6477863)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 take away -0.4551?\nAnswer: -1.6449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110454 or -110458?\nAnswer: -110454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211001012 (base 3) to base 13.\nAnswer: -341c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 55 = 3*c + 2*c, -c - 43 = 3*r. Let a be (1*-22)\/1 + 2. Let b be ((-6)\/r)\/((-1)\/a). Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -6*x + 874*q - 879*q - 55, 4*x + q + 26 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**3 + i**2 - i - 1. Let q(p) = -10289*p**3 - 4*p**2 + 4*p + 4. What is -4*h(z) - q(z)?\nAnswer: 10261*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*s + 564*s + 195*s - 1136*s + 2 + 170*s.\nAnswer: -33*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddn when four letters picked without replacement from dndpndnndpndpnnp?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*m**2 + 7*m - 196 wrt m?\nAnswer: -56*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11226)\/(-42) + (-2)\/7?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 44*k**2 + 2. Let p(h) = -13*h**2. Calculate p(t(b)).\nAnswer: -25168*b**4 - 2288*b**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((-36)\/15)\/((-18)\/(-60))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 81107*t + 14168*t - t**2.\nAnswer: -2*t**2 - 66939*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 13835\/3357?\nAnswer: 13835\/3357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, 3, -4.7, -35 in decreasing order.\nAnswer: 3, 10\/9, -4.7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 43*k + 21*k**2 + 30*k**2 - 85*k**2 + 29*k**2.\nAnswer: k**3 - 5*k**2 + 43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 10. Let q be (-1666)\/(-136) + (0 - 1)\/4. Let a be (-33)\/(-77)*(-4)\/q. What is the smallest value in -4, 0, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(((3*sqrt(1872) - sqrt(1872)) + -5)**2 + -4).\nAnswer: -7510 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 321097, 640852, 960605, 1280356, 1600105?\n\"Answer: -c**2 + 319758*c + 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 891204 and 552.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 13*g + 16. Let o(s) = -2*s**2 - 14*s - 17. Let l(q) = -5*c(q) - 4*o(q). Factor l(m).\nAnswer: 3*(m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4, 5*q + 3 = 3*p - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1668, 2 in increasing order.\nAnswer: -7, 2, 1668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194*n**2 - 3524*n + 40608.\nAnswer: -2*(n - 8)*(97*n + 2538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.380567 to three dps.\nAnswer: -1.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 141.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 124, 123, 126, 133?\n\"Answer: 2*c**2 - 7*c + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 33 = 29. Suppose 0 = 8*m - 20 - p. Let j be (9 - (1 - -2))\/(m\/2). Solve 6 = 2*f, -2*d = j*f - 14 - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 8*s - 13*s)*(3*s**2 + 0*s**2 + 0*s**2)*(15*s + 13*s + 6*s + 4*s - 5*s + 0*s + s + 5 - 5 + (3 + 2 - 3)*(1 - 2*s - 1) - 2 + 2 + 2*s)*(2*s + 4 - 4).\nAnswer: -3456*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + -1*sqrt(2) - (sqrt(2) + (-1*sqrt(2) - sqrt(2)))*-2))**2.\nAnswer: 96*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 642639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Suppose -4*j = p + 14, 3*p + c = -2*j + 1. Suppose -2*u + 11 = 1. Solve -k = -u + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*h + 13 = -210*h + 4*j, 0 = -4*h + 9*j - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 452*q**2 - 7*q + 3. Let d(b) = -301*b**2 + 5*b - 2. Let t(k) = 7*d(k) + 5*z(k). Let s be t(-1). Calculate the highest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6*2\/(-16)). Solve -v*n + 2 = t - 4*t, -4*t - 3*n = 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5329767478 to the nearest 100000.\nAnswer: 5329800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + f. Let o(v) = -3*v**2 + 6*v + 3. Let y(l) = -2*d(l) + o(l). Suppose -11*p + 9*p = -10. What is y(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -8)*18\/(-135)*-5. Suppose d = -7*m - 8. Let n = 2 + -5. What is the nearest to m in 2, n, 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1092*j**2 - 2. Let v(c) = c**2 + 10*c - 1. Let n be v(-10). What are the prime factors of x(n)?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14039)\/505 - ((-2)\/(-7) - (-304)\/(-280)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from szrwj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/69 - -79\/345. Let v = -8 - -11. Let s be (2\/24)\/((-18)\/(-36)). What is the nearest to -1 in v, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 21. Let l(y) = -13*y - 9. Let q(f) = -3*f - 2. Suppose 0 = -4*m - 3 - 5. Let a be m\/(-5) - 12\/5. Calculate a*l(d) + x*q(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 24. Let h(o) = 5*o**2 - 2. Let j(x) = -26*x**2 + 11. Suppose 77 = 6*d + 65. Let y(b) = d*j(b) + 11*h(b). Give y(t(m)).\nAnswer: 3*m**4 - 144*m**2 + 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -287, -244, -193, -128, -43, 68, 211, 392?\n\"Answer: c**3 - 2*c**2 + 42*c - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782 divided by -2?\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33.3, -9, -0.07?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*z - 15, -3*g = -12 - 3. Suppose -2*w = -w + z. Let y(l) = l**2 + 5*l + 6. Is y(w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56807234 and 148.46?\nAnswer: 56807085.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/60 + l**4\/4 + 63*l**3\/2 - 9466*l**2. What is a(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckuckkojvkkovvjjjk. What is prob of sequence jku?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/2000*50)\/((-2)\/26*3).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-12 + 7 - (-2 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 102?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -785 + 824. Calculate the remainder when 102 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-38)\/456)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*d**2*l**3 + d**2*l + d**2 + 8*l**3 + 21 wrt d?\nAnswer: 136*d*l**3 + 2*d*l + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10104 divided by 1?\nAnswer: -10104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 116*w**3 + w**2 - 2*w + 1. Let y be r(1). Let j = y + -68. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136168, -272173, -408202, -544267, -680380, -816553, -952798?\nAnswer: -1089127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/(q*(((q\/q**(1\/7))\/q*q)\/q*q)\/q)*q)\/((((q**(-2\/27)\/q)\/q)\/q)\/q))\/((q\/(q**(1\/3)\/q))\/q*q)**36 assuming q is positive.\nAnswer: q**(-9787\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2412\/1072)\/(4\/(64\/(-78))).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - (-6 - -47)) + -48?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 14*y = 16*y + 18, 0 = -2*y + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - h)*(-12019 - 7098 + 8941).\nAnswer: 10176*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-9))\/x)\/x**(-1\/18) assuming x is positive.\nAnswer: x**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1858389209 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -862*j + 365. What is the hundreds digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 - -21 - -40 - (-4 + (6 - 12))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -771*r + 17731. Give b(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574308 by 7.\nAnswer: 82044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2169 - 2095. Calculate the highest common factor of 2664 and t.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -112613, -112610, -112611, -112622, -112649, -112698?\n\"Answer: -y**3 + 4*y**2 - 2*y - 112614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45093 - 45049.406. Round h to 1 decimal place.\nAnswer: 43.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -2\/9, -4\/29, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*d - b + 8, -2*d + 4*b = -24. Solve 2*w - 5*p - 29 = 0, -3*p + 5*p = -2*w - d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - m - 10, -4*m = -2*l - 7*m + 4. Sort -3, -4, 10, l, 3 in decreasing order.\nAnswer: 10, 3, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1273 or -14723?\nAnswer: -14723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 1 (c) 3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.11 (b) -3\/10 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60050 is divided by 380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/11)*q**(-2\/3))\/(q**(-1\/5)*q)**(-11) assuming q is positive.\nAnswer: q**(1432\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17962*p**2 + 35901*p**2 - 17972*p**2.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2612779 >= -2612764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (64 + 15)\/(-1 + 0). Do g and -80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/79)*(l\/(l*l**(-2))*l*l*l*l)\/l assuming l is positive.\nAnswer: l**(397\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {r: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:04 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*z - 12 = 0, -h + 4*z + 32 - 4 = 0. Let q = -5 - -13. Calculate the greatest common divisor of h and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = -5*h. Let j(z) = h*z + 0*z - z. Let n(q) = 12 - 12 + q. Calculate n(j(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - -112.28. Let k = 3.72 + d. Which is the closest to 3\/4? (a) 3 (b) -0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.2 - -42.2. Let n = 23 - q. Let w = -11.000075 - n. What is w rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let m be ((-9)\/30)\/((-15)\/(-20)). What is the nearest to 0.1 in 2\/9, y, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(28)\/sqrt(4) - (sqrt(343) + (sqrt(343) + -1 - sqrt(343)))**2).\nAnswer: -1368 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**3 + 10*y**2 - 4*y + 4. Let c(r) = -15*r**3 - 29*r**2 + 11*r - 11. Let v(k) = -4*c(k) - 11*u(k). Find the third derivative of v(q) wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 15*i - 17. Let z(q) = 6*q**2 + 75*q + 89. Determine -21*s(r) - 4*z(r).\nAnswer: -3*r**2 + 15*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 97*c - 54. Let s be t(4). Let z = -331 + s. Solve 0 = -d - d + z*y - 5, 5*y + 21 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1440)\/960)\/(-1*6\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(48) + 2 + 1 + (-4*sqrt(27))\/sqrt(9) + sqrt(3) + (sqrt(60)\/sqrt(4))\/sqrt(5).\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 5, s: 1, q: 5, l: 1, j: 1}. What is prob of sequence qjq?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 134*a**2\/11 - 100*a\/11 - 336\/11 = 0.\nAnswer: -84\/67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 6. Let s be u(6). Suppose -5 = -2*k + 7. Let r = k + s. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 + 16*j - 15. Let n be h(8). Suppose -61 - n = -5*m. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptkppkptt. Give prob of sequence kt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14931 is divided by 330?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69.3 - -69. What is the third biggest value in -3\/11, b, 1, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 1, z: 2, q: 2, d: 7, e: 2}. Give prob of sequence czee.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 0 - (-1 + -1). Let b = -18 + 20. Let v(j) = -j**p - 28 - 25 + 46 + 6*j**b + 6*j. Give v(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8843 = 4*g - 5*x, -11064 = -13*g + 8*g - 4*x. What are the prime factors of (-3)\/3*(g + -2)\/(-5)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let q be -2*((-70886946)\/(-52))\/(6\/(-4)). Suppose q = d*a - 8782386. Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 12 (b) -0.5 (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3040526 (base 8) in base 2?\nAnswer: -11000100000101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -4, -191 in increasing order.\nAnswer: -191, -33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10413 is divided by 77.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 174997539 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*3843\nAnswer: -19215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/53 (b) 5 (c) 0.2 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 - 9705*d**3 - 4616150*d**2 + 90552000*d - 336140000 = 0.\nAnswer: -980, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12)*225\/(-14). Let y = -20\/7 - w. Do y and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 3. Let t(c) = -8*c + 5. Let k(l) = 5*b(l) + t(l). Suppose -16 + 48 = -4*s. Let i be k(s). Solve 0 = 3*r - r + 3*o, -4*r = -o - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 3. Let y = 0 + a. Let z = -5 - y. Put 0.5, -3, z in increasing order.\nAnswer: -3, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.859 + -0.279. Is b >= 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-5) - (-2)\/(-5). Suppose -4*q - 5 = 4*k - q, -k + i*q = 7. Which is the nearest to -1? (a) 1\/2 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22*6 - (-3)\/(24\/16). What is the common denominator of (4\/(-42))\/(4\/v) and -79\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3024, -6064, -9108, -12156, -15208, -18264, -21324?\nAnswer: -24388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2637.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -470, -468, -466, -464, -462?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(126\/(-75)))\/((836\/(-44))\/38).\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 4*y = -50, h + 17 = 23978*y - 23970*y for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*o, -o = -2*z - 2*o + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c + 4*c - c + c - c + (2 + 2 - 3)*(-2*c + 2*c + 2*c) - 2 + 2 + 2*c - 4*c - c + 4*c + (4*c - 7*c - 4*c)*(3 - 2 - 2).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/2381 - 49981\/23810. What is the common denominator of 30\/263 and m?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*x**3 - 4*x**2 - 6*x - 4 - 1 + 3*x as g*x**2 + k*x**3 + l*x + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74774 divided by -4.\nAnswer: 37387\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Suppose 0 = -5*v - 2*o + 210, 80 = 2*v + 4*o - 4. Let r(d) = 176*d + 11 - 85*d + 31 - v*d. Calculate 42*j(s) + r(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.03134 + 0.058383?\nAnswer: -104.972957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 14*f - 35. What is z(17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*l = 7*i + 6, 3*l + 13 = -5*i. Is 5 a factor of 10\/(1\/(-2)*i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-9)\/(-3) + 0. Let z = -23 - -23. Suppose -5*b - l - 2 = z. What is the third biggest value in -0.1, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1056 and 1320?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -42.2. Is 26 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**8\/6720 - m**7\/2520 + m**5\/30 - m**4\/8 + m**2. Let l(x) be the second derivative of h(x). Give l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1065*h*s**2*w + h*s*u**2*w + 35*h*s + h*u**2*w - 4*s**2*u**2 - 2*s**2*u + 2*s**2*w + u**2 - 7*u wrt s?\nAnswer: 2130*h*w - 8*u**2 - 4*u + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/3)*u*u)**(-1\/42))**(2\/15) assuming u is positive.\nAnswer: u**(-2\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at most as big as -689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/((-648)\/14))\/(98\/(-8)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140, 129, 118, 107?\n\"Answer: -11*j + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4973.\nAnswer: -2\/4973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/4 + (-1 - -4). Suppose -3*o - 15 = -i*o. Solve 0*u = -o*u + 5*k, u + 4*k - 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uffpfjpfpjpfpjpjpppx. What is prob of sequence fpxp?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/8 + 27*i**2\/4 + 559*i\/8 + 63 = 0. Calculate i.\nAnswer: -8, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w\/((w*(w*w**(2\/3))\/w)\/w)*w))))\/w**4*w**3\/w**(6\/7) assuming w is positive.\nAnswer: w**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -22*k + 435. Let b be d(0). Let w = b - -588. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + n)*(-3 - 4 + 2 + ((-1 + 4 - 5)*(-4 + 0 + 5) + 29 + 25 + 12)*(5 - 2 - 6)*(3 + 0 - 5)).\nAnswer: 379*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by -1460?\nAnswer: 123\/730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.71084 kilograms?\nAnswer: 710840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 2*v**2 + v + 11. Let y be k(0). Suppose 228 = r + y*r. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62188.\nAnswer: 2, 7, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqsqqqsqq. What is prob of sequence qsqs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.3. Let q be ((-19)\/114)\/(2\/(-12)). Which is the second biggest value? (a) q (b) h (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95068, 95073, 95090, 95125, 95184, 95273, 95398?\nAnswer: 95565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -43 + 108 - 7\/(7\/(-6)). Let c = 5 - 2. Suppose -c*j + 229 = -u. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 165, -4, -7, -6 in descending order.\nAnswer: 165, 2, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 664 + -625. What is the highest common factor of 325 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 10*g - 11. Let d = 27 + -19. Let q be k(d). Suppose -15 = -5*n + a, n + q*a = 4 - 1. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8*r = -489. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -18*g + 24*g. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21180769 - -1026.7139.\nAnswer: -21179742.2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 13*w**2 + 19*w - 22. What is the remainder when 636\/20 + 2\/10 is divided by b(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4 + b**3 + b**2 - b = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5727471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1759*y - 108*y - 4443 = -20323 - 22093 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224289\/17253*(-51)\/(-13).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (5 - 0) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 10218.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1421)\/882 - 5\/90)*((-5)\/15 - 0)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2609.381365.\nAnswer: -2605.381365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372514*w**3 + 3304*w - 34?\nAnswer: 2235084*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 - 4*u - 5. Let k = 156 + -110. Let g = -41 + k. Determine h(g).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*-2*((-8)\/100)\/((-40)\/50)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/30 + 4*c**2. Let w(f) = 2*f**2. Calculate w(y(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 22220.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 433 - 432.8302. Let g = -0.17 + t. Round g to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((4\/2)\/4). Suppose 0 = 2*g - 19 + 3. Let r(s) = -s**3 + 8*s**2 + s - 9. Let y be r(g). Is y > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16036 + 16090. Solve -6*g + y - 42 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*h**2*x**3 + 12*h**2*x - 1465*h**2 wrt x?\nAnswer: 132*h**2*x**2 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1590, 1589, 1588, 1587?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-42)\/l**(1\/7)*l*l\/(l**(-1\/11)*l)*l**(-10\/21) assuming l is positive.\nAnswer: l**(-9593\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 396751.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1 + sqrt(405))**2 - (sqrt(5) + (-2*sqrt(5) + sqrt(5))**2*3).\nAnswer: -37*sqrt(5) + 1606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.356796 nanograms to milligrams.\nAnswer: 0.000002356796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and 0.0037.\nAnswer: -14.9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 l, and 1 j when three letters picked without replacement from mlxjm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1080 divided by -20\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 28*c**4\/3 + 752*c**3\/9 - 6400*c**2\/9 - 6592*c\/9 - 448\/3 = 0.\nAnswer: -14, -2\/3, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*j + 3*j - 4313, -4*a = -j - 4303. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, -201, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1198 at least as big as -1197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -111*o - 45. What is the hundreds digit of b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 23 + -24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2\/a**4*a**(-3\/5)*a**(-4\/7)*(a**6*a\/(a\/((a\/a**5)\/a)*a))**3 assuming a is positive.\nAnswer: a**(-111\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let x(g) be the second derivative of 3*g**3 + 3*g**2\/2 - 62*g. What is c(x(y))?\nAnswer: 36*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15133 and 925?\nAnswer: 378325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -26.4. Let f = -617.5 + 618. Put a, f, -0.2 in ascending order.\nAnswer: a, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 35*b - 30*b + 5*f, 8*f = -5*b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68564 or -68567?\nAnswer: -68564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19320 and 172914?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -170, -171, -172?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 49, -1\/2, 2, 1\/2, 0.117?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3580000 to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-22))\/((-33 - -27)\/(-36))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 710 and 3266?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-30*g + 3 - 2 + 22*g)*(6 - 6 - 13*g)*(0*g**3 - 3*g**3 + g**3).\nAnswer: -208*g**5 + 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 86592 divided by 5\nAnswer: 86592\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 7 (b) -3\/2 (c) 19213 (d) 149 (e) 5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 75. Is 4 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (7 - 4)) + 4. Let j be 8\/48 + z\/72. Which is the nearest to -6? (a) 0 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 138, 2, 1512, -37 in decreasing order.\nAnswer: 1512, 138, 5, 2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w**3\/w)*w)**(-9)*(w*w**(6\/11))\/(w**7\/w) assuming w is positive.\nAnswer: w**(-247\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -126262, -126258, -126248, -126232, -126210?\n\"Answer: 3*p**2 - 5*p - 126260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015123 + -353?\nAnswer: 1014330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 6*s - s - 2286. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -385509\/20 - -19271. Let o = 9\/4 + m. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -468991 and -468754 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 7*f**2 - 9*f + 6. Let v be u(-5). Which is the second biggest value? (a) 1\/2 (b) -2\/19 (c) v (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980.652 millennia in decades?\nAnswer: 98065.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 473*v - 15. Let w be t(1). Suppose 0 = 11*k - 12*k + 1. What are the prime factors of w\/4 - k\/(-2)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -784, -805, -826, -847?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let o = 2382 + -2378. What is the fourth biggest value in 2\/7, z, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 1.8. Which is the nearest to -1\/2? (a) 3 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161660 or 161661?\nAnswer: 161661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdvv when four letters picked without replacement from dvdvvvvvvvvd.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02062 - 18.42062. Which is the second smallest value? (a) u (b) -6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 792 = -2*s, -p = 5*s + 2 - 218. What is the remainder when p is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 25682611?\nAnswer: -25682588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.2447 and 827265683.\nAnswer: 827265696.2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 17. Let j be c(0). Suppose 3*v - 9 = -3*h + 2*v, j = 5*h + v. Is 1682\/8 + 3\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:37 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:17 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -2639\/20. Let m(c) be the third derivative of d*c**4 + 1\/350*c**7 + 0 - 1\/100*c**6 + 0*c - 2*c**2 + 0*c**5 - 1\/10*c**3. Solve m(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 14*i + 12. Suppose -3 = 3*k - 18. Does 37 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 6*p + 2. Let c be y(6). Suppose -x = -0*x + c. Let g = 1 + x. Which is smaller: 2\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -214995, -214993, -214969, -214911, -214807?\n\"Answer: 2*u**3 - u**2 - 9*u - 214987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s - 4. Let y be (-4 - -1)*(-4)\/(-6). Put 5, y, s in decreasing order.\nAnswer: 5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2 + 8*n + 0 - 21 - 37. Calculate t(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744699701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/173?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137608, -4, -74.\nAnswer: -74, -4, 137608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146103.48*0.5.\nAnswer: -73051.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-5))\/((-834)\/1390))\/((-1)\/159*-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/12 - -2)*(-18)\/8. Factor c*v**2 - 2*v + 1.\nAnswer: (v - 2)*(3*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + c - 3)*(4 - 3 - 3) + 6 - 6 + 7*c + 3*c + 3*c + 0*c to the form k*c + r and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 - 6296*g**2\/7 - 706950*g\/7 + 202500\/7 = 0. Calculate g.\nAnswer: -225, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19*w. Let s(f) = -19*f. Determine s(i(l)).\nAnswer: -361*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*a - 2 = -4*i, i - 2*a + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12274712 divided by -2503?\nAnswer: -4904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212022013120 + 200?\nAnswer: 212022013320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 62*g**2 - 993*g + 24. What is c(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11c + -5c1?\nAnswer: -4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-2 + 2 + 1) + 1 + 3 - 3)*(2*h**5 - 7*h**4 + 1 + 7*h**4).\nAnswer: 6*h**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.938 + 2.72. Let b = -4.782 + d. What is the nearest to 2\/19 in 3, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(a**(1\/10)*a))\/(a\/a**(-2\/11)*a**(-2\/27)*a) assuming a is positive.\nAnswer: a**(-21407\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -713*x + 2853. Determine b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15789*r**4 + 22019 wrt r.\nAnswer: 63156*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 399?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330869*g**2 - 578690*g**2 + 247829*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 4*o**4 + 4*o**2)*(5 + 0 - 2).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -42*s + 96, 2*s - 2*k + 55 - 51 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 29. Let y = d + -7. Suppose -5*z - 3 = y*m - 21, -3*z + 9 = 3*m. Solve 4*q = -2*s + 12, -2*s + 6*q - z = q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjcjlcj. Give prob of sequence ccbj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2762 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 243723218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 517974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1278 + -18?\nAnswer: -1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = -3*x - 7, 4*u + 20 = 0. Suppose -h - x + 5 = 0. Let a = 8 + h. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8.2. Let c = y + -0.9. What is the biggest value in -5, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 10. Let m = 25 + -22. Let g be z(m). Is g != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/2 + 3*m**4\/2 - 2*m**2.\nAnswer: m**2*(m - 1)*(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -72 and -127021?\nAnswer: 126949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.7 * -118.\nAnswer: -1498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2415330 - 970387. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hozoohhhhohzhh. What is prob of picking 1 o and 2 h?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061181032 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33470981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123 by 5314.\nAnswer: -123\/5314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40079528 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((105\/30)\/7)\/((-1)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000504932604 to 6 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.124 and 10.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322032133 - 10?\nAnswer: 322032123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.056 + -8786\nAnswer: -8786.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -7 + 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 + 13*n**2 - 7*n - 15. Let k be o(2). Solve 76*x = k - 231 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 - 6*i + 10. Let f be h(5). Solve -f + 11 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-35))\/((-100)\/1120*-428).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*z + 15*z. What is the closest to 2\/9 in 1, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**4 - 2378*l**3 - 17940*l**2 + 33354*l - 13041 = 0?\nAnswer: -9, 3\/5, 1, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76*((-96984)\/32)\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-620)\/31 - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(2\/7))\/m**(-1\/3))\/((m**(-2)\/m)\/m**(-4)))\/((m\/(m*m**(-1)*m*m))**(-31)\/((m*(m**2*m)\/m*m*m*m)\/(m\/m**2))) assuming m is positive.\nAnswer: m**(-503\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48 + 0.065690027?\nAnswer: -0.414309973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142*((-96)\/(-14) - (-5)\/35) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -29. Suppose 5*m + 2*t - 23 = -0*m, m + 3*t = 2. Suppose -p - m = -0*p, -3*y + 5 = 2*p. Calculate the remainder when r is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34044.5823 to the nearest 100.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 58?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3432*h**2 + h - 542?\nAnswer: -6864*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = k, -2*p + 4896*k - 4900*k = 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/477*36\/(-32)*-116?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 23*r. Let i(o) = -11036*o**2 - 11064*o**2 + 22266*o**2. Give i(w(l)).\nAnswer: 87814*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.5. Suppose 3 = -4*p - 9. Let z = -36725 + 36721. What is the second biggest value in l, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 48. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x = 31*x + 245. Calculate the remainder when 97 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2 - 2 - j) - 696*j - 549 + 549 + (-2*j + 0*j - j)*(-9 + 0 + 1).\nAnswer: -674*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.000704 - -11. Round w to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 2*p - 7, -7967*p + 7960*p + 38 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - -256. What is the remainder when 116 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 2*x**4 - 4*x**4)*(x - 4*x + 4*x) + 6*x**5 - 3*x**5 - 4*x**5 + x**5 - x**5 - x**5 - 6250*x**2 + 463*x**5 + 6250*x**2.\nAnswer: 460*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 5*o**2\/2 + 277*o\/4 + 143\/2.\nAnswer: -(o - 13)*(o + 1)*(o + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = q + 1, 3*z = q - 2*q + 19. Let n(c) = -c - 1. Let o be n(-5). Solve 0 = q*k - o*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90659 is divided by 10065.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-49) + 19\/7. Suppose f - 9 = -4*y - 4, -f + 4*y = o. Let a(q) = 0 + 4 + q**3 - q - f. What is a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*o - 4*o - 17*o - 10*o - 10*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, b: 15}. Give prob of picking 2 b and 1 v.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c + 15. Let f be z(9). Let p = -59\/5 - f. What is the nearest to -1 in p, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 5\/(-3))*(-153)\/34. Put 4, 2, s in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*o**2 + 104*o**2 + 5 + 30*o - 35*o wrt o.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*-8*54\/720*(-105)\/(-14).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528 - 374. Suppose 2*o = -o + 66. Calculate the highest common divisor of m and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 29. What is the units digit of s(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/51584 and -55\/992.\nAnswer: 51584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 9) + -3 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*c = -324. Suppose d - c = -2*d. Suppose 0 = -4*q + q + d. Round q to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35526803 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*b*i**3 + 4*b*i + 31*b - 181252*i**3 - 12*i + 5326 wrt i.\nAnswer: -648*b*i - 1087512*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjcjcccgcccccgjgcccc. What is prob of picking 2 g and 1 c?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*u + 185 - 42, q + 4*u = 62. Solve 5*a - q = 19*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 42 = 27. What is the units digit of 2\/((-6)\/f)*-161 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 3*p - 1. Let d be o(4). Let h = -17580 - -17535. Let f(t) = -t**2 + 4*t + 3. Let q be f(5). Put d, h, q in decreasing order.\nAnswer: q, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u - 7088 = -2445 + 13853. Let o be (18 - (-2)\/(-2))\/1. Calculate the highest common factor of o and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 34. Let q = s - 4.6. What is q rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 15. Let w(v) = 7*v - 60. Let p(x) = -22*o(x) - 6*w(x). Let c be p(-14). Solve -3*i = -c*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1818174378 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.6, 3, -0.06, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -515, -4, 2\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/5, 693, 21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - o + 1)*(-6 + 6 - 4*o) + o**2 - 4*o**2 + o**2)*(1 - 203*o - 244*o + 1).\nAnswer: -894*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*f - 347*f + 774 = -163*f - 604 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-7 - 16) - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {y: 3, q: 4, b: 3, n: 3, l: 3}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**6*r)))**(-8\/3))**(-1\/10) assuming r is positive.\nAnswer: r**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 0.2, -19 in descending order.\nAnswer: 0.2, -19, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 3728713?\nAnswer: 3728710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/(-4)*(-36)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6328.515t in milligrams?\nAnswer: 6328515000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1245*d**2 - 508 wrt d.\nAnswer: -2490*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 175298, 350631, 525978, 701345, 876738?\n\"Answer: u**3 + u**2 + 175323*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1597457 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 8*z**2 + 7*z - 3. Let g be q(-7). Suppose -3*f + 22 - 10 = 0. Which is the closest to -1\/3? (a) 2 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18102, -72422, -162954, -289698?\n\"Answer: -18106*v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 7. Let t be n(0). Let i(u) = -21*u - 4. Is i(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 15*s + 32. Calculate m(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 637084682 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200121012 - 22?\nAnswer: -1200121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**7\/2520 + t**6\/240 - t**4\/3 + 19*t. Let y(c) be the third derivative of w(c). Factor y(f).\nAnswer: f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + l = 21429, -2*l - 6 = -4*l. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 111471057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 13. Let u be m(14). Let n = -3.05 + 0.05. Let l = n - -3.4. What is the closest to u in l, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/2157 - -12970\/15099. Determine w so that -k*w**2 - 3\/7*w**3 + 0*w + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, 97, 229, 421, 697?\n\"Answer: 4*q**3 - 6*q**2 + 86*q - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5015 - 2?\nAnswer: -5020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.7 (b) 241 (c) 0.5 (d) 0.2 (e) -0.27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 379.7 + -356. Let s = 23 - i. Sort -2, 1, s in descending order.\nAnswer: 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22354101 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 770, 941, 1104, 1253, 1382, 1485?\n\"Answer: -i**3 + 2*i**2 + 172*i + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -9*a - 8*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3*n**2\/2 - 9. Let q(r) = 3*r. Calculate q(b(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -25) + 5 - 26.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -22*s - 48 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*d**2 + 190*d**2 - 282*d**2 - 3*d**3 + 85*d**2.\nAnswer: -3*d**3 + 306*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4707831.\nAnswer: 3, 29, 53, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -14*a - 9. Let d be s(-9). Suppose -5*m - 5*l = -2*l - d, 2*m - 26 = 4*l. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*k = 190*k + 5*h - 16167, -3*k + 3*h + 16215 = 0. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50069 + 79456. Suppose 0 = -18*k + 3229 + o. Is k a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906.757 rounded to the nearest integer?\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 623 + -621. Solve -v*u - 37 + 33 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.847517209 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14146291 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:53 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24880012 divided by 12440006.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4195*r**6 - r**2 - 19*r - 1 wrt r.\nAnswer: 503400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 - 5*l + 1. Suppose 4*c + 15 = c. Let d be i(c). Let h be (d - (-1 + -3))*65. Round h to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 - 1. Let w be m(-2). What is the second smallest value in w, 5, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 1439*m**6\/60 + m**4\/12 + 371*m**3\/3 + 3*m**2 + 436*m. Find the second derivative of r(b) wrt b.\nAnswer: 17268*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 3*t**2 - t**2)*((3*t**2 - t**2 + 0*t**2)*(2 - 5 + 2)*(-3 + 3 + t)*(0 + 2 + 0) + (-28*t - 158 + 158)*(2*t**2 - 3*t**2 + 2*t**2)).\nAnswer: 128*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbddddbddddbdddddddd. What is prob of picking 3 b?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 51*x + 30. Let c be y(25). Suppose -5*k = -k - c*i - 5459, 0 = -4*k + i + 5447. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13613901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3540 and -169\/1770.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 214122, 856485, 1927076, 3425883, 5352894, 7708097, 10491480, 13703031?\n\"Answer: -2*f**3 + 214126*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 7}. Give prob of picking 3 s.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -4*d**2 + 1\/105*d**7 + 1\/336*d**8 + 0*d - 1\/24*d**4 + 0*d**3 - 1\/30*d**5 + 0 + 0*d**6. Factor a(r).\nAnswer: r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*m + 122*m - 27408 = -329*m. Calculate the remainder when 16\/12*(-414)\/(-4) is divided by m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**4\/2 + 41*i**3\/3 + 10*i**2 + 16*i - 191. Let w be r(21). Sort 2, w, 0 in increasing order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*d + 2*f, d + 10*f - 15*f = 31. Solve 5*k = -2*v - d, 3*k = 6*k + 3*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*h**2)*(-3*h + h - h)*(-63*h + 63*h - 11*h**2).\nAnswer: -66*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176782 times 14?\nAnswer: 2474948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 103\/10*m**5 + 0 + 0*m**3 - 49\/6*m**4 - 281*m + 0*m**2. What is the third derivative of d(i) wrt i?\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*d = -0*m - 7, 0 = -m - 2*d + 5. Suppose -o = -m*o. Which is greater: 1\/2 or o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56775954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 8*i**2 + 102*i + 473. Give n(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641350819.\nAnswer: 641350819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, 89, -4 in descending order.\nAnswer: 89, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151633 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -7. Let h = -1301 + 2259. Let d = -955 + h. What is the fourth biggest value in -0.2, s, d, -1\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52715740 rounded to the nearest 1000000?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9522 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*b + 76 = -140 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057893389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -2 + 3*l**2 + 2*l**2 - 7*l**2 + 0. Let m(r) = 2*r**2. Calculate v(m(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(275) + -1))**2.\nAnswer: -1800*sqrt(11) + 49680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e890b - -1?\nAnswer: 2e890c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6044027 (base 9) to base 3.\nAnswer: -20001111000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 = -3*v, 3*v + 9*b - 3 = 4*b. Put 2, v, 1, 3 in decreasing order.\nAnswer: 3, 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33398 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*t - 41090 = -73*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 3*g - 53, -2*g + 36 = -2*x. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*d**3 + 0*d**3 - 2*d**2 - 4 as t + y*d + n*d**2 + p*d**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 77269 (base 10) to base 16\nAnswer: 12dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/7 - 24163268*t**3\/7 - 72982964218242*t**2\/7 - 145965855946688*t\/7 - 72982915891712\/7 = 0.\nAnswer: -6040816, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12486.22919 rounded to zero dps?\nAnswer: -12486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020128 is divided by 1019818?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 7. Let b(x) = 3*x + 1. Let m be b(-3). Let o be a(m). What is the third smallest value in 0.2, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/1986401 or 1?\nAnswer: 10\/1986401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (185196\/(-1449))\/(-122) - 25\/35.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 7:54 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1228*n + 134*n - 80358 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14218*x - 13531*x = -19236 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032319764 rounded to four decimal places?\nAnswer: -0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8549*o + 8540*o - 17091*o. Let m(h) be the first derivative of -7*h**2\/2 - 11*h - 6. What is q(m(s))?\nAnswer: 14*s + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165128 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b - 34. Let z(l) = -19*l + 69. Give 7*q(y) + 3*z(y).\nAnswer: -y - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3960 is divided by 110.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**2 - 9*r**2 - 3*r**3 + (0*r**2 + r**2 + 0*r**2)*(-3 + 3 + 2*r) - r**3 + 4*r**3 - r**3)*(533*r**2 - 6*r + 6*r - 588*r**2).\nAnswer: -55*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35144?\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2a08b (base 14) to base 16\nAnswer: -197cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 739111 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 5 (c) -3 (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 3*j**2 + j - 4. Let p be l(-3). Let y(u) = -47*u**2 - 6*u + 21*u**2 + 25*u**2 + 0 + 2. Let d be y(p). Sort d, -3, -2, 1 in ascending order.\nAnswer: d, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/7 of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -95*q - 51. What is i(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dbbbkubbbbdbkbbudbdb?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -807774 (base 13) to base 5.\nAnswer: -1231041001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1353 + 1356. Suppose -45 = -2*u + u + 2*w, -k*w = -2*u + 91. Let o(g) = 17*g**2 - 3*g - 3. Calculate the remainder when o(-4) is divided by u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -22*c - 8. Let b be p(-2). Let i be 26492\/b + 3\/27. Round i to the nearest 10.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from xlxlirixxi.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3600244764 to the nearest 1000000.\nAnswer: -3600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*w - 1879, -20*r - 3*w - 5637 = -17*r. Let q = -1113 - r. Is 33 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 125 = -17*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((-96)\/(-720)*6\/(-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f**(-3\/2)*f))**(12\/5)*f\/f**(-2\/19)*f**(-4\/17))**(2\/7) assuming f is positive.\nAnswer: f**(634\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79.57? (a) -0.1 (b) -0.4 (c) -3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.2463492.\nAnswer: -0.2463492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 26*s + 1065*s**2 - 90*s + 12*s**3 - 1077*s**2 - 162 - s**4. Determine m, given that w(m) = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00667608035 rounded to 4 decimal places?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -8, 140, -4\/7, -2\/19, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeigneuiqeiii. What is prob of picking 1 i, 1 u, 1 e, and 1 n?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from vgvgvvvgiiigivvg.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2605796.1 months to years.\nAnswer: 217149.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 2a?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 12 = 2*r, -4*r - 44 = -3*m - 31 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -197+-4105\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*i + 350 = s, 2*i - 560 = -5*s. Suppose -2*g + s = -120. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 169*x**2 + 2698*x + 221. Determine r(-15).\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 5\/(-3)) + 8\/(-12). What is the nearest to v in -0.2, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2157, 4320, 6483, 8646?\n\"Answer: 2163*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3977*h**4 + 4393 wrt h?\nAnswer: -15908*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(72)*1 + sqrt(72))*-4 + (sqrt(72) - (2*sqrt(72) - sqrt(72))*-5))**2.\nAnswer: 96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -382, -414, -466, -544?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0.968 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6 + 34. Let b be r\/(-4)*1*2. Solve -b - 1 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -131?\nAnswer: -85\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*w - 4*w. Let h(z) = 8 - z + z**2 - 8. Let k(s) = -7*s**2 + 8*s + 2. Let v(p) = w*h(p) - k(p). Determine v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 2*j**2 - j + 3. Determine f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*j - 7 - 3, 3*k + 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {i: 9, w: 1, v: 9}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose 3 = g + 1. Suppose -5*r = -g*i - 35, -r + 2*i + 15 = -0*r. Solve 11 = 5*k - 2*m - u, 5*k + r*m = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**12)*d\/(d*d**(-2\/11))*((d\/(((d\/(d**1*d)*d)\/d)\/d))\/d)**50)**(3\/11))**(2\/55) assuming d is positive.\nAnswer: d**(1164\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 8*j**3\/3 - j**2\/2 + 143*j + 3. Suppose -2*q + 10 = -5*d - 20, -5*q + 2*d + 33 = 0. Suppose z + 4 = q. Calculate w(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1794357, 1794351, 1794341, 1794327, 1794309?\n\"Answer: -2*u**2 + 1794359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -23.3 (b) 0.23 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -4, 3\/4, -3\/5, 75?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**2*x**3 + 14*i**2*x + 507*i**2 wrt x.\nAnswer: 9*i**2*x**2 + 14*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 269. Let q = m + -161. Let h = -43\/14 - -3. Which is the nearest to -1? (a) h (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 + 3*o**3 - 4*o**3)*(0*o + 2*o + 0*o) + 30 + 12*o - 30 + 2*o**4.\nAnswer: 8*o**4 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9696 is divided by 4847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1083\/(-1824) + 3\/8 and 71\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3*4\/6). Let h = 832\/3 + -277. What is the nearest to 0.1 in d, -2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*m**2 - 3*m - 20 + 3*m**3 + 14 - 5*m**2.\nAnswer: 3*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3390*k**3 - 2049 wrt k?\nAnswer: -10170*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2*3\/15)\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*h + 885*h - 2826*h - 2 + 934*h.\nAnswer: -50*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84789329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 400. Suppose 4*y = 8*y - l. Solve -4*r - y = -9*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -742 and -14?\nAnswer: 10388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -32124*f**2 + 27*f - 216. Let w(k) = -2471*k**2 + 2*k - 16. Calculate 2*s(p) - 27*w(p).\nAnswer: 2469*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 2*a - 2*a)*(-278 + 4130 - 1829 + 4068 + 4613) in the form j*a + b and give j.\nAnswer: -10704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -885348.\nAnswer: -885344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 752715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11000001110000001 (base 2) to base 15\nAnswer: 1e5d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 times -0.4?\nAnswer: -106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150814855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 3*t**2 - 3*t - 3. Let l(w) = 3*w**3 - 11*w**2 + 11*w + 11. Determine 6*l(v) + 22*y(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/6 + 5*g**3\/3 - 29*g**2\/6 + 16*g\/3 - 2 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let r(y) = y**3 + 10*y**2 + 20*y + 39. Let h(s) = -2*s**2 + 24. Let f be h(4). Calculate the lowest common multiple of j and r(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.2, -1, -0.5 in decreasing order.\nAnswer: 6, -0.2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -32) + (-1 - -4 - (-6 - -12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 2. Suppose 2*r = -10, 2*l + 4*r - 69 = -601. Let q = c - l. What are the prime factors of q?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/31 - 218\/403. Sort 0.2, 32, r.\nAnswer: r, 0.2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -98. Calculate the least common multiple of 52 and g.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(468) + (sqrt(13) - -3*(1 + sqrt(13))) + -2.\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - l**3 + l**2 + 8*l**2 - 16*l**2 + 3*l to the form p*l**2 + j + k*l + c*l**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1144 - 143210?\nAnswer: -142011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(250\/15)*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051457907 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1332 - -3998\/3. Which is the third smallest value? (a) -3\/4 (b) 0 (c) o (d) 15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/12 - (-23)\/2. Let b(u) = 10*u - 17. Is b(j) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-11)\/2)*-2. Suppose 0 = c + l - 50. Suppose 0 = -4*u + u + c. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:37 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z - 3 + 1 - 2*z**2)*(z + 6*z + 6*z + (10*z - z + 0*z)*(3 - 1 - 1)).\nAnswer: -44*z**3 - 44*z**2 - 44*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 76. Let f be 589 + (7 - u)*(-1)\/(-2). Suppose -3*i + f = -59. Is i a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983707.\nAnswer: 7, 13, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2882*q + 1673*q + 1882*q)*(q - 6*q + 3*q)*(-2 + 3*q + 2).\nAnswer: -4038*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 8. Suppose -5*y = w*b - 6, 2*b + 0 = 8. Is y at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 1, -13, -31, -53, -79, -109?\n\"Answer: -2*n**2 - 4*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95309170 divided by 19910?\nAnswer: 4787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5414381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*x + 87, -4*q + 5*x - 105 = -9*q. Suppose 2*l + o - 6 = -2*l, -4*o - q = -5*l. Is 153*(l - (-20)\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*v = -10, -9109*u + 5*v = -9107*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1302 or 430862\/331?\nAnswer: 430862\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-36)\/4*(-2)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21 - 41 + 80 - 19 - x + x**2. Determine f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(-1\/25))**(-43) assuming v is positive.\nAnswer: v**(-3268\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11021 (base 5) in base 7?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m + 25. Suppose 12 = -t + m. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-984)\/16*8\/(-3). Let y = 117 - i. Round y to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*x - 2. Let v = 1 - x. Suppose -3*f = -v - 14. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38153075.7 rounded to the nearest one hundred thousand?\nAnswer: 38200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(891) - (-1 + 1*sqrt(891) + sqrt(891)) - sqrt(891) - (0 + (2*sqrt(891) - sqrt(891)))) + 2 + (-1 + sqrt(891) + 1 - sqrt(891)))**2.\nAnswer: 54*sqrt(11) + 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f*f**(-8))\/(f*f*f**(-12)*((f*f*f**(1\/7)\/f*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/(-4)*424\/20 - 6. What is the greatest common divisor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 5*h + 1. Let p be x(-6). Let b = 1973 - 1894. Let r = b - p. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 1. Let p be x(0). Let r(d) be the third derivative of -d**6\/120 - d**4\/24 - 636*d**2. Let m(j) = 7*j**3 + 4*j. Calculate p*m(u) + 4*r(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzzahzfq. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299 - -1200. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0*k**3 + 4*k**3 - k**2 + 9*k**3. Suppose 11 = -5*n + 4*s, -3*s + 12 = -0. Let a be o(n). Solve 2*z - a = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = 0, o + 20 = 2*d - 1. Let i be (2 + -3)*1\/(-2)*-18. Let q be 556\/10 + i\/15. Calculate the highest common divisor of d and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1360 and 16.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - 2*t - 2*t + 0*t + t - 3*t + 2*t - t + 0*t + 3*t - 2*t + (2 - 5 + 1)*(-t - 2*t + 5*t) - t + 4*t - 4*t + 5*t - 4 + 4)*(1 + t**2 - 2 - 3*t**2).\nAnswer: 8*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400711152 divided by 2116.\nAnswer: 189372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8*g + 3117 = 3*n, -3*n = -5*g - 3077. What is the greatest common factor of 88 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 8) to base 16.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -2, -53, -7, -3, -4.\nAnswer: -53, -7, -4, -3, -2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4453 and 17.718.\nAnswer: 4470.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:11 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 42 = -4*p. Let g = 28 - p. Suppose g*b - 35 = 3*b. Let i(l) = -l**2 + 8*l - 7. Calculate i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -524*d**2*f**2 + d**2*f - 24938*d**2 - 2*d*f**2 + 5*d*f - d - 2*f**2 - 11*f + 508 wrt d.\nAnswer: -1048*f**2 + 2*f - 49876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 16*t + 6*t to the form w + x*t and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/8 - 10*h**3 - 300*h**2 + 126*h. Determine b, given that f(b) = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-10)*c)\/c)\/(c*((c**2*c)\/c)\/c))**(-17)\/((c**(1\/2))**(-21\/5)*(c**(-2\/3)\/c)**(-19)) assuming c is positive.\nAnswer: c**(4213\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2632, 5667, 8770, 11941, 15180, 18487, 21862?\nAnswer: 25305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let n be (0 + 0)\/(-3) - b. What is the second derivative of 2 - 2*z**2 - 2 + n*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205131 - 5151 = 9*c. Does 101 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -8. Factor -c**5 - c**4 + 22*c + 2*c**2 + n*c - 52*c - 1 + 2*c**3.\nAnswer: -(c - 1)**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 906594 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0*g**2 + 0 + 4\/3*g**3 - 2*g. Let l(v) = 2*v**2. Calculate p(l(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 559*m - 13201. What is r(-23)?\nAnswer: -2460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -9, -354 = -3*h + 2*u - 0*u. Let r = 197 - h. Is 8 a factor of (r\/(-36))\/(3\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2 (c) 1\/4 (d) -78 (e) -2\/181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.6735ml to litres.\nAnswer: 0.7836735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.901903 decades to millennia.\nAnswer: 0.07901903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 71871249.\nAnswer: 1078068735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 12:30 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 2*k**4 + 0*k**4 + (5 - k**2 - 5)*(-3*k**2 - k**2 + 5*k**2) + (142*k - 99*k + 93*k)*(-1 - 2*k**3 + 1).\nAnswer: -271*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3, -39 in decreasing order.\nAnswer: 3, -1\/2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - t - 72. Let l be g(0). Let b be (7 - 6)\/(1\/(-3)). What is the units digit of ((-4)\/(-6))\/(b\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (-2*sqrt(18)\/sqrt(2) + sqrt(9)))\/sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 2}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5743 + 3996 - 2440 + 4324 = -197*d for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -3\/49, -8, 43, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 251241217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkmmxkmkmxkmmxkkk. Give prob of sequence xkk.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1744 and 14576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7*n = -36. Does 17 divide (n\/10 + -2)*125\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.61 + 1.251. Let n = -112.041 + h. What is n rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 4 (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*b + 5*h + 20, 2*h + 10 = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -70. Which is the smallest value? (a) r (b) 4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7419 * -0.069.\nAnswer: 0.1891911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*k + 4 = 0, -4*k + 26 = 5*g - 20. Suppose 3*i + 124 = g*l - l, 0 = -4*l - i + 106. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.955 take away 0.902?\nAnswer: -8.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2426 + 2447. Suppose u + 5 = 47. Calculate the highest common divisor of u and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 29. Let a = 25 + o. Let z(s) = 2*s - 21. Let f be z(a). Solve -2*b - b = -f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06676 <= 95568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/60 + 406\/10. Suppose -45 = -4*v - 145. Let f = v + z. Calculate the remainder when 47 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 80?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = 2*u. Factor -2*s**3 + 2*s**2 - 3*s + s**u + 2*s.\nAnswer: -s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 + w**2 + 2*w**2)*(2 - w - 2) + (-2*w - 2*w**2 + 2*w)*(-4*w + w + 5*w).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 22 = -5*p + p, w + 4*p = -51 + 69 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8639*v + 8638*v + 1558 = 0. Calculate the highest common divisor of v and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 395162?\nAnswer: 395162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-4)\/8*2. Suppose q - 3*q = -l. Suppose 0 = i - 3 + 4, -5*i + 31 = q*j. Solve 5*f = -j - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28480 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69916770 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*o = -4450 - 12156 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578570?\nAnswer: 2, 3, 5, 7, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -13. Suppose 2*m = -q + 1. Let s(c) = -c**3 - c**2 + 5*c + 2. Let i be s(m). Solve i*f + 3 + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*d = 3 + 1, b = d - 4. Let q be -2 - -2 - b\/5. What is the nearest to 0.2 in 0, 5, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-141.29\nAnswer: -423.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55007 or 55010?\nAnswer: 55007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(315\/10))\/((-8)\/16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 696\/13, -0.2, -11, 0.352, 1\/3?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 3:31 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22007005 by -9235.\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 230 = 4*u, 2*u + 0*k + 2*k = 100. Calculate the remainder when 106 is divided by u.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 7.123421.\nAnswer: -14.246842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 13*v - 79. What is y(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, h: 4, m: 4}. What is prob of picking 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 512.3401 and -1344.\nAnswer: -831.6599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118408340 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1570, -5 in increasing order.\nAnswer: -5, 3, 1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 68 + 148*s - 62*s - 55*s - 5*s**2. Let f be m(-23). What is f rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6063 and 1269?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - 3c1b?\nAnswer: -3c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 293894271 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 1418207.\nAnswer: -92\/1418207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:44 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -19*v + 1865. Calculate the remainder when 521 is divided by v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -15*r**2 - 13*r + 15. Calculate f(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229214077 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 11*k**2 + 9*k + 7. Determine f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 222*r**2 + r. Let c(v) = -v + 5. Let o be c(4). Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + 0*b**3 - b**3)*(2*b**2 - 4*b**2 + 4*b**2) - 312*b**5 - 1972*b**2 + 1972*b**2.\nAnswer: -308*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-32))\/((-14)\/28). Let u = -8 + 8.1. Let o = -0.7 + 4.7. Which is the closest to u? (a) 0.2 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3871 and 31615010.\nAnswer: 221305070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0568 + 0.1926. Let j = q - 0.109. Round j to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8180845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*n - 57*n + v - 103907 = 0, -4*n - 2*v + 138542 = 0. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 20*z**2 + 20*z + 29. Let c(g) = -g**3 - 32*g**2 - 59*g + 51. Let v be c(-30). Calculate j(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 15. Is 12 a factor of y(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 3360?\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 369766611 to the power of 1\/2, to the nearest integer?\nAnswer: 19229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 2*j + 24, j = 4*u - 131. Let a = u - 14. Let y be a\/3 + 6\/(-9). Solve 0 = 4*o - o - y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -23, -115, -297, -599, -1051, -1683, -2525?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 10*x - 21. Let b = -864 + 870. Determine w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515334.\nAnswer: 2, 3, 85889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1422, -5567, -12492, -22203, -34706, -50007, -68112, -89027?\nAnswer: -112758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 33*i**2 + 195*i + 1696. Determine m(-37).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13204 (base 7) in base 6?\nAnswer: -24204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.549 + 0.051. Let n = m + -7. Let u = n - 1. Which is the third biggest value? (a) 3 (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2305470 divided by 1110.\nAnswer: -2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -496\/13 + 38. Which is the nearest to 1? (a) g (b) 4 (c) 0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(3 - 2) - -67. Suppose -41*i + m = -37*i. Calculate the smallest common multiple of i and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*u = -68*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/5*20\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*j**5 - 7120*j**4 - 11185*j**3 + 135590*j**2 - 105420*j + 14760 = 0.\nAnswer: -41, -6, 2\/11, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986419537?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 36 = 30. Suppose 16 = -4*y - 2*q - d, -3*q - 9 = 0. Let j = y + 12. Solve 3 = -2*b - 3*o + 12, 3*b - j*o - 5 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 6*h + 2. Let f = 11 - 7. What is p(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-25)\/(-6))*50\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60133 (base 11) in base 4?\nAnswer: -111133003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -1\/6*j**3 + 0 - 57*j + 0*j**2. Calculate x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + t + 24*t**2 + 5*t to b + s*t**2 + f*t and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -16. Let k(m) = -2*m**2 + 2*m + 3*m**2 + 0*m. Let j be k(l). Solve 3*h + j + 3 = -2*c, -4*h = -2*c - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*o + 300*o - 1191*o + 297*o + 294*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032804368 rounded to five decimal places?\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 164 + 98 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-4)\/(-21))*14\/3. Factor -8\/3*d - 2*d**2 - v.\nAnswer: -2*(3*d + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -3\/2 (b) 737\/4 (c) -0.5 (d) -1.17 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 894108 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -64. What is the third biggest value in 3\/7, -1\/5, 1\/7, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4267*s**3 - s**2 - 13*s + 88 wrt s?\nAnswer: -25602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - x**2 + 4*x - 3. Suppose -u + 23 = -4*s + 1, -2*u - 5*s - 8 = 0. Suppose 0 = 13*y - 10*y - u. Is o(y) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.234 or -13.47?\nAnswer: -13.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78271 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, t: 11}. What is prob of picking 2 n and 2 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/4 + 1 + 1. Solve 0 = -3*o + m - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 22750 = 18*j - 3*j. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*j - 1 + 43*j + 1 to p + n*j and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 102\/23, -2\/11.\nAnswer: -2\/11, 102\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 32*v = -36. Let s be (v\/30*4)\/((-6)\/(-9)). Determine w, given that 8\/5 + s*w**2 + 2*w = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.379 - -0.041. Let o = 0.81 - m. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 392572631 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25240, -25249, -25248, -25225, -25168, -25065, -24904, -24673?\n\"Answer: 2*j**3 - 7*j**2 - 2*j - 25233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 241 - -5?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*a = 658 - 130 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynpnnnbvyvnnyybnbb. What is prob of picking 2 v and 1 y?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 329478 or 329543?\nAnswer: 329543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73170 and 4500.\nAnswer: 3658500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 397 - 396. Let l(p) be the first derivative of 61*p**3 + 3*p**2\/2 - p + 3. What is the tens digit of l(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3*((r**(-2\/33)*r)\/r)\/r assuming r is positive.\nAnswer: r**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**2 + 292*u - 379. What is the tens digit of h(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, -151, 244691.\nAnswer: -151, -4, -2, 3, 244691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/(-675))\/((-4)\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1902097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5, -4*i + 57 = 2*d - 9*i. Let r(j) = 27*j + 534. Let m be r(-19). Let q = d - m. Which is the third smallest value? (a) 0 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6345 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 2, t: 1, m: 1, f: 4, j: 2}. What is prob of picking 1 b, 1 f, and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/4)\/5 + (-90)\/(-8). Let w(v) = v**2 - 11*v + 27. Calculate w(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36205263 (base 7) to base 3.\nAnswer: -20001012000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33984 divided by -354?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(300)*6 - (0 + sqrt(300) - sqrt(300))*-6) + -2*sqrt(300) + 2 + -2*sqrt(300)*-5)**2.\nAnswer: 800*sqrt(3) + 120004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 6*b**2 + 6*b + 17. Let d be v(8). Let y = -116 + d. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 21, -1, 5 in decreasing order.\nAnswer: 21, 9, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*f - 161 + 142, 6*f + 9 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(63)\/(1*sqrt(7))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - -7) + 2 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704038 is divided by 7780.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 143 = -2*j, -j + v = j - 147. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 380 = -2. Let p(f) = -2*f**2 + 55*f - 25. Let w be p(l). Solve -r + w*r = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 80. Is (t\/(-11))\/(-4) + 10586\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + ((-1804)\/14)\/(-11) + -3. What is the closest to -2\/13 in -0.2, 0.52, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:33 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106393234*b**2 - 2*b + 2*b + 106393271*b**2.\nAnswer: 37*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:03 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37265250 a multiple of 2638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*i + 8, i + i - 6 = -2*u. What is the nearest to i in -4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203725 and 290?\nAnswer: 407450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -602791*a**3*u**3 - 49*a**3*u + 50*a**3 - 3660*a*u - 14*u**2 wrt u?\nAnswer: -3616746*a**3*u - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3154166.\nAnswer: 2, 83, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 25*i + 209 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223720 to the power of 1\/2, to the nearest integer?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 250 + -202. What is the derivative of -58*y**3 + 3*y**2 + 1 + 60*y**3 - g wrt y?\nAnswer: 6*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2689*s + 2684*s + 5, 0 = 5*s - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(675\/6)*145\/29?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061270 is divided by 36798.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(-66)*(-12)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -642841, 394 in ascending order.\nAnswer: -642841, 0, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171331?\nAnswer: 73, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1687, 3, -152?\nAnswer: 1687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/224 and 113\/160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 10*f**2 + 3*f - 17. Give s(7).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10474 is divided by 808?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c + 7. Let q be r(-3). Suppose -2*n = -q - 625. Suppose j + 2*p - 63 = 13, -5*j + 4*p + n = 0. What is the greatest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1681135, -1681134, -1681131, -1681126, -1681119?\n\"Answer: r**2 - 2*r - 1681134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -106.4. Let u = -2.5 + 2. Which is the nearest to 3\/7? (a) -5 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 195*b + 195*b. Let w(m) = -2*m**3 - 4*m**2 + m + 4. Let l(n) = -3*h(n) + w(n). Is l(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 54*t**2 + 609*t + 3364.\nAnswer: (t - 29)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438720 to the power of 1\/2, to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 0.059, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2 + 3*l**2 - 1 + l**2 - 2*l**2. Let r(i) = -6 - 2*i**2 - 3 + 3*i**2 + 8. Let g(d) = -m(d) + 3*r(d). Let a(c) = 3*c**2. Give g(a(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = -13. Solve n - d - d = 3, d = -m*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**4 + 0*l**4 + 5 - l - 2*l**3 + 400966*l**2 - 400964*l**2 to the form t*l**3 + d + i*l**4 + c*l + x*l**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 179778418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5*w)\/(w\/(((w\/(w\/w**(-3\/8)))\/w)\/w)))\/(w**1*w**10) assuming w is positive.\nAnswer: w**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*l - 448 = -179*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c234d - 25?\nAnswer: -4c2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216 is divided by 247.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 610 - -3?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 71, 57, 25, -31?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 4*i)*(0*i - i + 2*i) + (-115*i - 80*i + 73*i)*(1 + i - 1).\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5425 + 10455. Let t = 22875 - b. Suppose 0 = -9*z + 4*z + t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(1 - 0) + 4. Let m be (-3 + -1)*-4*10\/80. Find the first derivative of -x**q - 4 - 6 + m + 2*x**2 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 6*c - 14877 = 0. Let i = -727 - c. What is the smallest common multiple of 104 and i?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399099?\nAnswer: 3, 133033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**6 + 914*z**4 - z**2 + 2*z + 286 wrt z.\nAnswer: -720*z**3 + 21936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-35))\/((-36)\/42).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000011 - -10?\nAnswer: -10010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7490158.\nAnswer: 2, 13, 31, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2976 or -1?\nAnswer: 2976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 27*a**2 - 93*a + 93. Suppose -58*u + 270 = -49*u. Let b be p(u). Solve 0 + 1\/2*f + 1\/2*f**b - f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + w**3 + 2 - w - 2*w**3 - 4*w**2 + 0*w. Calculate the smallest common multiple of 20 and d(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-16))\/((-1)\/6). Suppose 4*y = 4*c - 52, c - m*c + 5*y = -11. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(264) + sqrt(264))\/sqrt(6) + (sqrt(44) - (-2*sqrt(88))\/sqrt(2)))*-4)\/(sqrt(484)*-1 + sqrt(484) + sqrt(48)\/(sqrt(84)\/sqrt(7))).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 244.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3\/7 - 26445*j**2\/7 - 105816*j\/7 - 105828\/7 = 0.\nAnswer: -2, 8819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 911286523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 9:55 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8) + 54\/8. Suppose -1 + c = -5*d. Is -1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*(1 - (-6)\/(-9)). Let g(n) = n**2 + 1. Let x(l) = -5*l**2 + 5. Let z(k) = w*g(k) - x(k). Let t be z(-1). Solve 6*m + t = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7485.3 + -7485. What is the closest to -1.2 in w, 5, 19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8746967, -17493935, -26240903?\nAnswer: -34987871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*f + 375 = 0, 5*f = -v + 38 + 37. Suppose -v = -3*s - 2*s. Let c = -11 + s. Solve d = -c - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*h = 18, 24 = 5*b + h - 3*h + h + 3*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.1. Suppose 5*d + 2*x - 30 = 0, 3*d - 5*x + 1 + 12 = 0. What is the closest to d in q, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d + 14 = 198. Let g(r) be the first derivative of -13\/3*r**3 + 0*r + 0*r**d - 13\/5*r**5 + 11 + 0*r**2. Find the third derivative of g(c) wrt c.\nAnswer: -312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/2142 - (-495)\/(-17).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxkx when four letters picked without replacement from {k: 1, x: 4, l: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5212*p - 5139*p + 10511*p.\nAnswer: 160*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 133 + 17 = 0. Let r be 129 + -35 - 14\/1. Suppose -28*o + i*o - r = 0. 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: Let y(r) = r**2 - 12*r - 193. Determine y(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157308 divided by -78654.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 154*b**2 - 11*b - 27. Let x be d(-3). Suppose -4*q - 5*i = -727 - 390, x = 5*q + 2*i. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -481*f**3 + f. Let y be i(-1). Let q be y\/(-18)*(-18)\/15. Let b be 12\/q + 6\/(-16). Solve -3*p + 0*p + 4*j + 8 = b, p = j + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2642031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 16*c**2 - 12*c - 15. Let d be n(15). Suppose 3*y - d = -2*p - 12, 2*p - 3*y = 18. Solve -5*w - p = 3*l + 11, -2*w - 8 = -4*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 minus -0.35?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.880334 rounded to 2 decimal places?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 61*b**2 + 6 + 71*b**2 + 71*b**2 - 202*b**2 - 3*b**3 to the form i + t*b**2 + z*b**4 + f*b**3 + u*b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3539*w**2. Let s(l) = -44*l. What is s(a(g))?\nAnswer: -155716*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/11 (b) -1 (c) -1\/2 (d) -11.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -401453, -401431, -401419, -401423, -401449, -401503, -401591, -401719?\n\"Answer: -m**3 + m**2 + 26*m - 401479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t = 25. Suppose -4*m + g + 22 = -0*g, 14 = 4*m + 3*g. Solve -5*i - 4*l - 11 = 0, 0 = 3*i - m*l + 19 - t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, o: 1, f: 1, n: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7231 - 1434?\nAnswer: 5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:21 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**6\/120 + o**5\/60 + o**4\/12 - 7*o**3\/3 + 15*o. Let j(y) be the second derivative of v(y). What is j(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5156, 7\/4.\nAnswer: -5156, 7\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 2*n + 6. Let d be m(0). Find the third derivative of 2*o**d - 394*o**4 - 8*o**2 + 26*o**6 + 394*o**4 wrt o.\nAnswer: 3360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26000 + -25999.999973012. Round w to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -395 and 165.\nAnswer: -65175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 4*x**2 - x - 171. Calculate y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2*x**2 + 13*m**2 - 9*x**2 with respect to x.\nAnswer: 2*m**2*x - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9308149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 + 32*b + 722. What is the hundreds digit of t(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125066542 or -125066543?\nAnswer: -125066542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -47 - 24) + 1 + -12 + -40.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.12, 6, -3, 60?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280445 is divided by 313?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**2 - 6*t - 31. Let l(i) = 13*i**2 + 11*i + 61. Calculate 6*l(c) + 11*m(c).\nAnswer: c**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/7 - 11\/28. Put i, -0.1, 2\/11, 2\/5 in decreasing order.\nAnswer: 2\/5, 2\/11, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 178*q - 46. Let a be v(7). Suppose -33*z + a = -23*z. What is the highest common divisor of 90 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847 = -2*a + 3*t, 0 = -4*a - 7*t + 8*t + 1669. What is the smallest common multiple of 104 and a?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 2*m - 1. Let k be r(-1). Suppose 3*n - 2 = -4*y, -2*y + 6*y = k*n - 34. Solve -2*p = 4*l - 8, -5*l + n = -p - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4. Is 40*2 + u + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-1 + -1) - 442\/(-117). Sort -0.35, 0, a in descending order.\nAnswer: 0, a, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.8, 76, -1\/5, 14, 1\/7, -3\/31?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 3*t + 24. Let i be c(0). Solve -3*z = -15*z + i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1428*z - 12811. Calculate b(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -21147 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2078 is divided by 190?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*f - 92. Suppose 2*s + f = 3*s. Suppose 0 = 5*l - 10, a + 3*a - 4*l - s = 0. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3291\/286 - 1\/143. Let g = 6868619784638\/20673 + -332250745. Let m = g + -3\/2297. What is the common denominator of w and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 - 8*v - 5. Suppose -1832 + 2665 = 119*s. Calculate r(s).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 5670.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = -7. Suppose v + 5*w + 1 = -0*v, -x*v = w - 15. Do v and 10\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 3*z**2 - 6*z + 8. Suppose 1532*v + 15 = 1537*v. Determine h(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 16*p + 32. Let l be t(-14). Let y = -7 - -3. Let v = y - -4.4. What is the closest to 9 in v, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 - 7*p - 5. Let i be z(-4). Let u(y) = 2*y - 8. Let s be u(i). Solve 0 = 3*b - 0*b - s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1531196373 = 10*j - 17*j. Suppose 20*h - j = 147257661. What is h rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 12*x - 272. Suppose x = 45*m - 41*m. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29799.9 - 28796.785. Let d = y - 1003. Round d to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 717 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -43*x**8\/56 - 5*x**4\/6 + 18*x. Find the third derivative of b(v) wrt v.\nAnswer: -5160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1396 + 1396.0000611. What is c rounded to 6 dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1575?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245 - -248. Which is the nearest to -0.1? (a) -1\/2 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 7*z**2 - 2*z - 7. Suppose -u + 0*u = -3*n + 20, u - 20 = -5*n. Suppose n*r = 10, -3*s - r = -2*r + 23. Is j(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 5*p**3\/6 + 967*p. Let o(m) = 467*m**2. Calculate q(o(s)).\nAnswer: 2335*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9248059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.30579209 * 0.4.\nAnswer: -4.122316836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73354 + 73354.0036129. Round d to 5 decimal places.\nAnswer: 0.00361","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9240739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.9 + -24. Let n = 0.1 + -0.3. Let z = n + 0. Which is the nearest to z? (a) -2\/15 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 3 = -x, -12 = -4*x + 2*f. Let a = -536 - -538. Suppose -a*c = -x*m + 31, m = 2*m - 3*c - 1. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Suppose -4*u + 4*y = -32, o = -4*y - 11 + 3. Suppose u = -c + 4*c, 5*c + 25 = 5*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s + 14. Let d = -10 - s. Calculate the lowest common multiple of d and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.1 + -3.1. Let w = j - 16. Sort 1, -0.3, w in descending order.\nAnswer: 1, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 6. Suppose -l + 5*r + 6 = 0, 0*r + 5*r + n = 2*l. Solve 0 = b + l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/54)*d*d)*d*d\/d**(-17)*d)\/(d**(-7)*d*d**(-4\/15)) assuming d is positive.\nAnswer: d**(6827\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 711 + 239. Let k = 3463\/180 + -437\/20. What is the common denominator of k and (b\/(-72))\/((-1)\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 51200 = 16*y. Round y to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(sqrt(85)\/(sqrt(20)\/sqrt(4)*-4 - sqrt(5) - sqrt(5)) - (sqrt(272) + -1 + sqrt(272) - -2*(sqrt(17) - (sqrt(153))**2))).\nAnswer: -1531 + 305*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*q. Suppose -3*a + 0*a = q. Let b be (-4)\/(-6)*6\/2. Solve a = b*p + 3*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4465299 or -4465298?\nAnswer: -4465298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 l, and 1 m when four letters picked without replacement from fmmllfhlmlmfhlhmmhyb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + p - 2 = 0, -4*n = -n - 5*p - 11. Let r be (0 - 2\/n) + 658\/21. What is the greatest common factor of r and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107596 + -8392699\/78. Let y = n + 46\/13. What is the biggest value in 4, -2\/11, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296058?\nAnswer: 2, 648029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24533?\nAnswer: 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -12 + (-1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15136 and 4472.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) -202029 (d) 3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*s - 4*i, -5*s + 4*i - 3*i = -79. What is the remainder when s is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 4050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -31017229\nAnswer: 2\/31017229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0*r**2 + 0*r**4 - 15*r + 0*r**5 + 0 - 4\/3*r**3 + 4\/15*r**6. Find the second derivative of g(x) wrt x.\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 24.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21\/1430 - 15533\/32890. Let v = -9474 + 142178\/15. Find the common denominator of x and v.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 28*h - 11. Let k be r(5). Suppose -56 = -4*p - k*s, -p + 3*s = -14 - 20. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 18 = -3*j - 7, -6 = 2*j + 2*p. What is the third derivative of j - 2 + 10*w**2 + 7*w**3 + 1 wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -60. Let s = 18 + v. Solve s*o + 10 = 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12104*f - 161 + 164 + 12103*f.\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/8690 and -48\/4345.\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*k - 25. Let a = 41 - 41.7. What is the nearest to 2\/5 in k, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -561, -553, -535, -501, -445, -361, -243?\n\"Answer: g**3 - g**2 + 4*g - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0797776524 to four dps.\nAnswer: -0.0798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9 = 21. Let o(x) = -2*x + i + 6 + 4*x. Let r be o(-9). Is 2\/21 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212190 divided by -42438\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, 0.1, -0.5, -5, 3888, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 72755988?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 388222\/17 - 13295642\/595. Let h = z + -491. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 7*x + 2. Let q be v(-4). Suppose -95 = -q*d - 13*d. Solve -g + d = -0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16861022 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.1 from 5431.\nAnswer: 5428.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/5)\/((-8)\/10)*2. What is the nearest to -0.3 in r, -2, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - 0.24. Let n = -421361135\/7821 + 484882\/9. Let b = n - -1\/79. Sort t, b, -3 in descending order.\nAnswer: b, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*j + j. What is the least common multiple of j\/(-10) - 46\/(-10) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-4*6)\/(sqrt(14)\/sqrt(2)*5))**2 - 4*(-5*sqrt(153)*5*3)**2.\nAnswer: -86052708\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-6)\/4 + 3). Let f be (-8)\/(-3) - (21\/(-9) + i). Let -12*g**2 - 477*g**f - 2 + 2 + 480*g**3 = 0. What is g?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**3 + 4 + 19*r**3 + 5*r - 7*r**2 - 5*r - 7 in the form y + x*r + q*r**2 + h*r**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9930647 or 9930645?\nAnswer: 9930645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-15)\/28. Let r be ((-2)\/3)\/((-6)\/(-9)). Let p = 6.087 - 0.087. What is the second biggest value in r, p, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51471976.\nAnswer: 2, 23, 79, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3855 by 1285.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*r = 6*r + 22, -3*r = g + 11. Let b be g*2 + 0 + 4. Suppose -s + o + 49 = b, -s + 22 = -5*o - 27. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18252 is divided by 16610.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from {w: 4, u: 1, r: 1, n: 1, i: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-36))\/(3\/(-72)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**3 - 3*j**2 - 2*j + 4. Let f(c) = 4*c**3 + 3*c**2 + c - 3. Let a(b) = 6*f(b) + 5*l(b). Let t(u) = u - 4. Let p be t(6). Is 15 a factor of a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a factor of 234763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -151*c - 4. Let w(r) = 149*r + 4. What is 5*k(l) + 4*w(l)?\nAnswer: -159*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3296453095.\nAnswer: 5, 13, 41, 659, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = i - 0*i - 23, -2*o = 10. Suppose -3*k - 90 = 2*v, 0*v - 5*v = i*k + 99. Let x be k\/(-40)*4 - 3. Which is the nearest to 0? (a) -3 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = 19. What is the first derivative of f + v**2 - 14 + 11 - 2*v**2 wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18432 divided by -4608.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 142333, 15, 4.\nAnswer: -2, 4, 15, 142333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3943.2 + 3938.2. Let j = -2 - -5\/2. Sort g, j, -1, 0 in descending order.\nAnswer: j, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322 - -12412?\nAnswer: 13234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 2*s**2 - 4*s - 1. Let b be (10\/(-4) - -1)*2. Let d be u(b). List the prime factors of (-66)\/(-14) + d\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310 + -11221?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227 + 201 - 3*n + 16 - 276 - 780 to s*n + r and give r.\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z + 1 - 1)*(1 + 0 - 19) as s + w*z and give w.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4040546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = y - 5. Let s = -1.59 + 1.59. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 9. Let o = -7.03 - z. Let u = -5.03 - o. Put u, -2, 0 in increasing order.\nAnswer: u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -128, -151, -174?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81372 is divided by 20293?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1425.45034 to the nearest ten.\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 4*v**2 + 4*v + 4. Let r = -10 - -21. Let n = -15 + r. Let x(y) = y**3 + 3*y**2 - 3*y - 3. What is n*x(l) - 3*t(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160269 = -7*u - 4102731. Round u to the nearest 10000.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6 - 47*x - 1 + 12*x. Suppose -24 = 4*y - 0*y. Is u(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 9498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(6)*-1)**2 - (sqrt(144)\/sqrt(8) + sqrt(2))**2) + -3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 46*t**3 - 266*t**2 + 17*t - 117. Calculate q(5).\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 4*f = -6*d - 285, -4*d = 4*f - 48 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {g: 4, r: 5, x: 1, e: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132.9 + -133. Which is bigger: o or -358?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0, -4, -6\/7, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:18 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2695 - -2689.376. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32497 is divided by 16243.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240649849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 3. Let n(m) = -2*m - 2. Let c(v) = 5*n(v) - 2*t(v). Let p be c(-4). What are the prime factors of ((-166)\/p)\/((-2)\/(-4) - 1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j*p*u + 3*j*p - j*u + 427*j + 11*p*u - 2*p + 19*u + 1 wrt u.\nAnswer: 4*j*p - j + 11*p + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50036\/2 + 3256\/296. Calculate the highest common factor of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -97*f - 556. Let z be c(-7). What is the greatest common factor of 4141 and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4216994 rounded to 3 decimal places?\nAnswer: -2.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 11:01 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 400*m**2 - 13*m - 21. What is the tens digit of n(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-368)\/(-3))\/(51104\/28746)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7218127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**4\/24 - d**3\/2 + 2*d**2. Let i be u(3). Factor 4\/5*n**4 + i*n**2 + 2\/5*n**5 + 0*n + 0 + 2\/5*n**3.\nAnswer: 2*n**3*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -201, -197, -193, -189?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 10:45 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1013664793*g**4*o**2 + g**4 - 2*g**2*o + 5*g**2 + 381*g + 85*o**2 - o - 3 wrt g?\nAnswer: -24327955032*g*o**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-49)\/(-15) + 9\/(-3). Let i = -3\/20 - a. What is the common denominator of i and -107\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114 or -1950\/17?\nAnswer: -1950\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 9)*((1 + 0 + 1)*(-1 + 0 + 0) - 1 + 3 - 4 - 2 + 0 + 4)*(-1 - 4 + 3)*(2 + 7 - 3)*(0 + 2*c + 0)*(c - c - 11*c**2).\nAnswer: -5280*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*p = 5, 5*w - 13 = 3*p - 0*p. Suppose 4*c = -4*z - 4, 9*c - 1 = 4*c - 3*z. What is the derivative of 5 - j**c - 4 - w wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x. Let d(m) = m**2 + 2*m - 2. Let u(c) = -3*c + 3. Let q(l) = 3*d(l) + 2*u(l). Determine s(q(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeawpco. Give prob of sequence oe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - 16\/(-6). Suppose 13 = 3*w + 13*u - 8*u, -5*w = -2*u - 32. Calculate the highest common factor of l and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -20020112?\nAnswer: -20020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**3 + 20*s - 4*s**2 - 5*s**3 + 5*s**2 + 37*s - 29*s to the form x + l*s**2 + j*s**3 + a*s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 17*p**2 + 17*p - 8. Is m(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.01 and -443 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -41, 11 in ascending order.\nAnswer: -41, -7, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4650, 9334, 14018, 18702, 23386, 28070?\nAnswer: 32754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3 = 4*c + z, 0 = -4*z - 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/12 and -56\/3033.\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2971828?\nAnswer: 2, 19, 39103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.19 rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14882*s + 14992*s - 29808*s. Let q(y) = -6*y**2 + 2*y - 2*y. Determine q(v(g)).\nAnswer: -26136*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -201768, 2, -22 in decreasing order.\nAnswer: 2, -22, -201768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 2\/127775 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -4\/7, 3, -2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9039 is divided by 2258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -102*v**4 + 4*v**3 - 26*v + 2. Let x(h) = -102*h**4 + 5*h**3 - 25*h. Let s(c) = 5*b(c) - 4*x(c). What is the second derivative of s(r) wrt r?\nAnswer: -1224*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i**3 + 19 - 36*i**3 + 33.\nAnswer: -2*i**3 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -73170?\nAnswer: 73170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, d: 3, y: 4}. Give prob of sequence nnyn.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87 * 0.3.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -431?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**3 - 51*z**2 + 45*z.\nAnswer: -3*z*(z + 5)*(4*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, -2.1, -0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*k = 6*b + 12, -5*k = 15. Suppose -4*w + 7*w - 18 = b. Let s be 1*(w - 0) - 0. Solve 1 - s = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 37*o - 1. Calculate u(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(48 - 12*c - 48) + (2 - 1 + 1 + (-3 + 2 + 2)*(-3 + 3 + 2))*(6*c - 12 + 12).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94.6181 decades?\nAnswer: 946.181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r + 113 + 87 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = y - 89, 0 = y + 125*b - 55656 + 53026 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-125)*-15*3\/3*1?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*b = -55 + 101, 2*b + 24 = 2*u. Solve -2 = -a + n, -19*a + u*a + n + 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1802184 - -49?\nAnswer: -1802137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 divided by -2?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4*w**2 + 3*w + 2. Let s be -2*((-57)\/(-6) + -3). Let z be (-1 - -4)*(s + 17). Let g be z\/16 - 57\/12. Give f(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2228462003 + -2?\nAnswer: -2228462005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*s + 5 = 0, -6*g + 9*s + 6 = -12*s + 15*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + 108*d - 64. Determine t(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 13*k**7 + 2*k**3\/3 - 51*k + 81. What is the third derivative of s(y) wrt y?\nAnswer: 10920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*l - 1113438 = -286*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1276, 10654, 20040, 29434, 38836, 48246, 57664?\nAnswer: 67090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/56 + -59\/168. Let z be 3 + -4 - (-11)\/13. Which is the nearest to n? (a) -1\/2 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -885341 - -1271704. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2847 - -2846.91. Which is the closest to 0.03? (a) 2 (b) f (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 - 15*o**3 + 21*o**2 + 123*o + 90 = 0. Calculate o.\nAnswer: -5, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 10*n**2 - 94*n + 1420. Determine j(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.926 rounded to the nearest 10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*n**5\/5 - 232*n**4 + 16057*n**3\/5 + 187447*n**2\/5 + 18128*n + 2240 = 0. Calculate n.\nAnswer: -7, -1\/4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*u - 1266 = 0, 5*u = -6*o + 2*o + 2541. Let q = -621 + o. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let g(l) = 2389*l**2 + l - 2. What is d(g(b))?\nAnswer: -2389*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 4) + 0 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 6:21 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -24343\/28, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5\/3 + 140*j**4\/3 + 56*j**3 - 848*j**2\/3 - 608*j\/3 + 384 = 0. What is j?\nAnswer: -2, 1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -177, -14, -1, 3 in descending order.\nAnswer: 4, 3, 0, -1, -14, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 19, 5, -3, 163, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5 - 13*v**4 + 7*v**3 + 57*v**2 + 36*v = 0?\nAnswer: -1, 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, s: 5, c: 6, z: 1, g: 2, d: 1}. What is prob of sequence gd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 4*k + 3*k + (2 - 2 + k)*(-3 + 3 - 4) + (-2*k + 0*k + 0*k)*(-1 + 0 + 4))*(-2*k + 3*k + 4*k + (k + k - 16*k)*(-1 - 1 + 1)).\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 27*l**2 + 5*l - 28. Give d(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -277\/5687 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708777 is divided by 2670?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*3*sqrt(320) + -5 + (3*(-1 + sqrt(320) + sqrt(320) - sqrt(320)) + 2)*-2)**2.\nAnswer: -576*sqrt(5) + 46089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -51 - (0 - 8 - -6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45832.41ng in micrograms?\nAnswer: 45.83241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -5*w + w. Let p be (-8)\/(-2) - (-7 + -9). What is the highest common divisor of p and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-5 + -13)) + (23 - 11) + (-3 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029917 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (2 + -2)\/(-1). Let s = 41 - 42. Which is the closest to 0.1? (a) 3 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11872282 and 2796?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6804 = -2*u + r, -u - 4*r - 3392 = -2*r. Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 844 + -1357. Let v = d - -1575. Calculate the highest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t - 3. Let r(v) be the third derivative of -1\/6*v**4 - 13*v**2 + 0*v + 0 - 1\/3*v**3. Give 2*j(b) - 5*r(b).\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6.2 * -4.2\nAnswer: 26.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -76, -145, -242?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:53 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 854667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 - y. Let l = -16 + 13. Let n(k) = -k**3 - 3*k**2 + 3*k. Let b(j) = l*o(j) + n(j). What is the second derivative of b(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 7475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**29*k**3)\/(k**(-18\/7)\/(k**(-7)*k)) assuming k is positive.\nAnswer: k**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 11 = -5*x, 3*j - 1 = -2*x + 3. Let a be 2\/8 + x - 4565\/(-44). Suppose -15*d = a + 17. Which is smaller: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-70)*-1*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.7 - 2.7. Let b = -10.4 + g. What is b rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Let p(h) = -3*h - 1 + 4*h**3 - k + 6 + 2*h**2. Let g be p(3). Calculate the highest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-12)*(-8)\/(-6). Let z be (-12)\/(-56)*k*-7. Let y(r) = -r**3 - 5*r**2 + 4*r - 1. What is the remainder when 31 is divided by y(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79184464 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23047 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 4*b - b - 3*b - 37 - 4*b - 41.\nAnswer: 2*b - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 6) to base 3.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -264327430 and -58529?\nAnswer: 264268901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136))\/sqrt(4))\/(1*sqrt(2)*-6 + sqrt(2)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5214870.\nAnswer: -1\/2607435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*a + 0*a = 51, h = a + 12. Let i = -1 - -6. What is the lowest common multiple of i and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -42. Suppose -5*m = -4*p + 88, 3*m + 96 = p + t*p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-10)*-4 - 3. Suppose -2*h = -m*h + 5*q - 6, 5*q = 3*h + 38. Is h not equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11144 divided by 67228?\nAnswer: 398\/2401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -802 by -7287.\nAnswer: 802\/7287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917.58588 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 3. Let f(r) = -3*r + 9. Let d be f(11). Let g = -22 - d. Determine l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132\/65 - -287\/390. Find the common denominator of -83\/63 and y.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6))**(4\/7)\/(a**(-1\/19)*a**5) assuming a is positive.\nAnswer: a**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {j: 3, z: 10, q: 5, m: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 o, and 1 n when four letters picked without replacement from {t: 7, n: 4, o: 5}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 12. Let v(h) = -5*h. What is v(q(l))?\nAnswer: 20*l**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = 2*q + 27, 16 = q - 5*c. Let o = 12 + q. Suppose -z = -4*z - o*x + 201, -5*x - 55 = -z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 300604751.85752.\nAnswer: 300604751.75752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -3)*-1*-1. Suppose -m*y = -6*y + 18. What is the least common multiple of y and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2374240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 20*d + 3. Is 13 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 + 473. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2444 - 4671 + 1165 = 238*k for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -229, -344, -465, -592, -725?\n\"Answer: -3*z**2 - 100*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-8))\/(((-12)\/40)\/(612\/170)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -3770, -10637, -20824, -34331?\nAnswer: -51158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose 4*z = 5*h - 14, 0 = -h - z - 0*z + 1. What is the first derivative of h + 3*r - f*r - r wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*p - 3*f, -13 = 2*f - 3. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813 + 162859875.\nAnswer: 162860688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -2*r. Let o(g) = g**3 + 8*g**2 + 7*g + 1. Suppose -4*k = 5*i + 19, 3*i = 2*k + k - 33. Let f be o(i). Is r at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -541272, -1082558, -1623850, -2165148, -2706452, -3247762, -3789078?\n\"Answer: -3*w**2 - 541277*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-221)\/(-390) - 4\/10. Let y(d) be the second derivative of 1\/6*d**4 + 0 + 0*d**2 + d + o*d**3. What is the second derivative of y(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16341146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232581?\nAnswer: 7, 37, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 - -75. What is the remainder when (-16961)\/r + 4\/(-18) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 867 and 423.\nAnswer: 122247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -15\/43 (c) 2\/15 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 293385*d**2 + 3*d - 1. Let s be b(2). Suppose -s = -2*c + 4430369. Let v = c - -12398043. Round v to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109750*a + 104891?\nAnswer: 109750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 16. Suppose -2*f + 35 = 3*d, f + 2*d = -2*d + 5. Suppose -3*r + 2*g = -c, 5*g + f = -0*g. Let l(s) = s**3 - s**2 - 3. Give l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*j + 65, -2*l = -4*j - 7*l + 50. Let x = -225 + 230. Suppose -5*p = 3*m - x*m + 11, -5*p = j. Let u(f) = -f. Determine u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -681?\nAnswer: -136.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5704 * -0.19\nAnswer: -1083.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4))\/x*x)\/x*x**3)\/(x**(-6)*x\/(x\/(x\/(x**3*x)))) assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 50. Let x(j) = 18*j - 8. Is x(r) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*w = -724*w + 1738 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214 + -213.9. Which is the nearest to 1\/8? (a) h (b) -2\/13 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3238 - 6019 - 5561 = -43*u. Solve 189*i = u*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/9)\/(((d*d**(4\/3))\/d)\/d)*d\/d**(-1\/10)*d**9*d assuming d is positive.\nAnswer: d**(1009\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 + 24*j**2 + 5*j - 39. Is s(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 73, 83, 87, 79, 53, 3, -77?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228685406.\nAnswer: 2, 151, 7379753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-1*(-3)\/(-99)*3. Which is the third biggest value? (a) -0.1 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2803 + -2799. Find d such that -1\/2*d**5 + 0*d**3 - d**l + 0*d**2 + 0*d + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.04275123 to 0 decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-27))\/(4\/6). Suppose 5*c + 10 = -5, 3*q = -w*c + 20607. Suppose 7*u - 66 - q = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y - 1\/24*y**4 + 0 + 0*y**5 - y**2 + 2\/3*y**3 - 1\/120*y**6. What is c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 + 18. Let u be 0 + (-2)\/(-7) + 34425\/175. Let g = u + -179. What is the smallest common multiple of g and o(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/3 + 190*q**3\/3 + 302*q**2 + 174*q - 540 = 0. What is q?\nAnswer: -90, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 495, 1207, 2115, 3213, 4495, 5955, 7587?\n\"Answer: -r**3 + 104*r**2 + 407*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107955, 107956, 107957?\n\"Answer: q + 107954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.10066231 rounded to two dps?\nAnswer: 30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 34182 = -0*w - 34198 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 14 = 2. Let s(r) = 5*r + 4 - 4 - 2. What is s(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473000 rounded to the nearest 10000?\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h + 38 - 54 = -985. Solve -a = -l - 5, -4*a - 27 = 3*l - h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 + 81 = 11*s. What is the lowest common multiple of 54 and s?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 65. Let t be m(-19). What is the greatest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*l - 2 = -0*r, 4*l = 0. Let q = r + 10. Suppose 0 = 5*g - 62 - q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from fzllyhfyyrzzhll?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Let b be 5 + 0\/(o + -1). Suppose -n = -b*f - 0*n + 393, 4*f - 318 = -n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/44)\/((-33)\/(-24)) - (-383)\/11. What is the highest common divisor of g and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4 - 1859*m**2 - 2630.\nAnswer: 8*m**3 - 3718*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88495\/49212 + 10\/1367. Find the common denominator of -95\/18 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3417*q + 2. Let h(z) = 40832*z. Calculate g(h(i)).\nAnswer: -139522944*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29412622097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = -0*x + 42 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 84. Suppose 0 = 2*o + 2*b - t, 2*b - 65 = -3*o - 24. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 6*j + 3*j)*(21*j**2 - 34*j**2 + 133*j**2 - 30*j**2 + 107*j**2).\nAnswer: -394*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30298*t**4 - 4029*t**2 + 37*t?\nAnswer: -727152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9498 - 882 = -180*o - 685*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/3 + 822*s**2 - 1645*s + 2468\/3 = 0. Calculate s.\nAnswer: -2468, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61402021 (base 8) in base 15?\nAnswer: 1215149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2. Let o(b) = 136*b**2 - 3. Calculate h(o(t)).\nAnswer: 55488*t**4 - 2448*t**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 22 = 4*b, 4*b + d = 3*d + 36. Calculate the remainder when 46 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 3*k**3 - 18*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301909698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-5)\/405*-6\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*x + 123*x = 54*x + 4764 - 1551 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760\/(-209) + (6\/4)\/(45\/120).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163772.\nAnswer: 2, 7, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -298 in 1\/4, -3, 4, -5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = y - 4. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79139500 divided by 287780.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 83. Let x be (w + (5 - 2))*(-1)\/15. Let m(c) = -c**2 - 5*c - 3. Let s be m(-3). What is the closest to x in -1, 4, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26649891*b*r - 11065367*r wrt b?\nAnswer: 26649891*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 + 6)*(-5 - 2 + 0)*(-3 + 3 - 1)*(-176*u - 167*u + 13 + 342*u) in the form g*u + o and give g.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 66 = -6*q + 3*q, m + 2*q = 21. Suppose 5*b + 3*j = m, 2*b - 12 = -2*j - 2. Let g(i) = -i + 3. Let x be g(0). Solve -x*u - 2 - 7 = b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -1\/5 (c) -1136 (d) -6 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1124835 to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.1147 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Let l(k) = 2*k - 3. Let b be l(w). Solve -s + 6*s = 3*h - 4, -5*h = -b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1595 - 716. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -431*k**2 - 2*k + 6 + 3*k + 427*k**2 to the form u*k**2 + m*k + i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2*t**3\/27 + 2*t**2\/3 - 14*t\/9 + 64. Factor h(c).\nAnswer: 2*(c - 1)*(c + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/6 + 1817*a\/3 = 0. What is a?\nAnswer: -3634, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 4*o + 3. Let j be (-114)\/(-9) - 4\/6. Let t = j + -7. Let f be (t\/(-3))\/((-1)\/(-3)). What is y(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1)*900\/315?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -959621016 divided by 4\nAnswer: -239905254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2 - 160. Let x(d) = 3*d**2 + 32. Let a(z) = 2*m(z) + 11*x(z). Find the first derivative of a(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s + 4*s + 5*s to x*s + c and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2\/2 + 7*z + 2. Let o be u(7). What is the second derivative of o*n**3 + n + 2*n**4 + n**4 + 0*n**3 wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/((-9)\/27).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.1 - 9.005. Let s = 0.045 - d. What is s rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 814. Let x(l) = -2*l. What is c(x(y))?\nAnswer: -2*y + 814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u*u*u\/u**(-2)*u*((u**(1\/4)*u)\/u)**(5\/4))\/(((u\/(u\/u**0))\/(u**(2\/7)*u*u*u))\/(u**(1\/4)\/u)**50) assuming u is positive.\nAnswer: u**(-9263\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61*k**2*r + 1921699*k**2 - 5766285*r - 37 wrt k?\nAnswer: -122*k*r + 3843398*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*x - 4 = 0, -u - 5*x = -2*u - 23. Let z be (-13)\/2*-2 + -3. Let w be 6\/z*(-2)\/3. What is the third biggest value in w, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -5 (b) -0.3 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0087302 to four dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:26 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4739530 + 4\nAnswer: -4739526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2789 times 732\nAnswer: -2041548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6386679 to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h + 3*z - 11, 4*h + 4 = 4*z. Solve 3*p = -2*o + 11, -h*p + 4 = 2*o - 6*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 3*b**2 - 2*b - 4. Let k be l(-3). Suppose -k*z - 9*z = -88. Solve -2*m + 2*f + 8 = m, m + 2*f + z = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvxupxvpuuvhvvuzvuu. Give prob of picking 1 z, 1 u, and 2 p.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 39. Let t be (-10)\/(4\/(-2))*z. Suppose -4*b + 203 = t. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4823*u**2 + 3091. Let w(n) = 12057*n**2 + 7728. Let r(k) = 12*d(k) - 5*w(k). Differentiate r(l) wrt l.\nAnswer: -4818*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 19*q = 2*d - 457, 0 = -d - q + 241. Solve 62*j - 3*j = d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 20, 1\/4, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100500 rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -47*s + 148. Let m be p(3). Suppose -m*i - 4*i = -2893. List the prime factors of i.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 150253911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.237731302 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1a2?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -67400.\nAnswer: -23\/67400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((15\/20)\/3)\/((-45)\/(-40)). Which is the closest to 0.2? (a) 1\/4 (b) r (c) 12 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -2 - (-352 + 303)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -49. Let g = -679 + 1161. Suppose -2*a = k - 3*k - 478, g = 2*a - k. What is the greatest common divisor of c and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*v - 308, 0*v + 2*h + 224 = -3*v. Let f = -74 - v. Which is smaller: 0.027 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than 1113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(8)*-1)\/sqrt(4).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 4*n - y - 2, 0 = 4*n + 7*y - 4*y + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13270721850643 plus 0.2?\nAnswer: -13270721850642.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875095 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*a + d = 24 - 6, 5*d + 15 = 125 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + n**2 - 2*n**2 + 0*n**3 + (-3*n + 3*n - n**2)*(-6 + 6 + n) + 2*n**3 + 2*n**3 - 6*n**3 in the form m*n**3 + x*n + f + u*n**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 + 211*f - 13. Is t(42) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 47. Round p to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + z + 1. Let c(p) = -3 + 3*p**2 - p + 2 + 3*p**2 - 5*p**2. Determine -c(x) - w(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592*32.\nAnswer: 18944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 5*v + 10. Let h be o(-4). Let d(y) = y**3 - 6*y**2 - y + 3. Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5958485074 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75*1 - (-236829)\/(-2661).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*50.\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 70. What is the remainder when 52 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 + 2*v - 5. Let h be s(-4). Let c(r) = -r**3 + 3*r**2 + r - 2. Let f be c(3). Sort -2, f, h in ascending order.\nAnswer: -2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1082\/55 + -146\/11. Solve -4\/5*q**4 - 4\/5*q**5 + 16\/5 + 4\/5*q**2 - n*q + 4*q**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -8. Let n(b) = b**3 - 6*b**2 + 4. Let s be n(h). What is the second derivative of -s*z - z**2 + 4*z**2 + 2*z wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (72\/(-90))\/(4\/(-4010))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 2 - 2)*(-2*b + 5*b + 2*b) + (0 + b + 0)*(2*b + 1 - 1).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -514, -3 in decreasing order.\nAnswer: 7, 3, -3, -514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408433 by 25.\nAnswer: 408433\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 14*y + 31. Calculate the remainder when 297 is divided by w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, s: 2, m: 4}. Give prob of sequence mmu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19646, -39906, -60166?\nAnswer: -80426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 9411.\nAnswer: -1882.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.009 less than 5403458?\nAnswer: 5403460.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13703, -27383, -41061, -54737?\nAnswer: -68411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -b + 2*b + 3*o, -4*o = -2*b - 112. List the prime factors of -9*4\/b*25.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 1675*x**2 - 10078*x - 13448.\nAnswer: (x - 1681)*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1390311082 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*i**3 + 129*i**3 - 68*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40500630 - -0.178\nAnswer: 40500630.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3405131.3 rounded to the nearest 10000?\nAnswer: 3410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 0\/(0 - 3). Let t = x - -10. Find the first derivative of 4 - 1 - 2 - t - 2*f**3 wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 87*l - 1280\/3.\nAnswer: -(l - 256)*(l - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Suppose 5*s - 40 = -g*s. Let i(j) = j**2 + 12*j - 22. Calculate the remainder when i(-15) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 485976?\nAnswer: 1457928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 3*w + w + (-w + 3*w - 3*w)*(-3 + 1 + 1) + 2 - 2*w - 2 + 1 - 3*w - 1 in the form z + r*w and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*i + 4732 = -154*i - 988 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424260 and 1740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 258772357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295\/(-118) - (-1865)\/2 and 2?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145775 and 357.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -10 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (214 + 1812*p + 1811*p - 3636*p)*(-2*p - p + 5*p) as o*p + l*p**2 + g and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20 and (-3 + 36\/16)*29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9 = -0*y - y, 9 = 3*y. Let u be ((-4)\/3)\/x - 6\/18. Solve u + 0*p + 5*p**4 - 3\/2*p**5 + p**2 - 9\/2*p**3 = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/8 + 42849*o\/8.\nAnswer: -3*o*(o - 14283)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b - a07?\nAnswer: -9a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**3 + 0*n**2 + 2 + 1\/20*n**5 - 61\/12*n**4 + 17*n. What is the third derivative of w(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598096 and 694608?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 2*d**2 - 1. Let j be g(-2). Suppose -c - 3 + j = 0, -2*n + 2*c - 10 = 0. Let b(t) = 7*t**2 + t. Give b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -4, 54, -2 in descending order.\nAnswer: 152, 54, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52a3a6 (base 14) in base 5?\nAnswer: 1203403001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152 + 18. Let c be (i + 11)*1\/(-3). Find the common denominator of (c\/36)\/(10\/30) and 97\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, n: 1, e: 2}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*h\/(h*h*h**2*h))**(2\/51) assuming h is positive.\nAnswer: h**(-44\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958157 is divided by 246?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47556 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617, 4978, 16815, 39866, 77869, 134562, 213683?\nAnswer: 318970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3\/2)\/z))**(-21) assuming z is positive.\nAnswer: z**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1032, -2142, -3332, -4608, -5976, -7442, -9012?\nAnswer: -10692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o - 12. Let p be y(-4). Suppose -k - 7 = p. Let s be (-4)\/(-26) + (-72)\/k. Solve -2*j = s + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssedeseossesds. Give prob of sequence do.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r**2 + 3*r + 5. Let c = -11 + 16. Suppose c*z - 15 = -0*z. Let l(g) = -5*g**2 + g + 2. Give z*m(w) - 8*l(w).\nAnswer: -2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-696)\/(-261)*(-18)\/(-2) is divided by (-15 + 9\/(-3))*(-1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -33*k**2 - 6*k - 3. Let d be g(-1). Let m be (8\/(-4) - -5)\/((-18)\/d). Sort m, -4, 26 in ascending order.\nAnswer: -4, m, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 2)*(-2 - 2 + 3)*(-192*a + 25 + 239*a - 14).\nAnswer: -282*a - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 6*l**2 + 161*l - 19. Calculate d(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:57 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 53*y + 590. Let g be n(-16). Which is the nearest to 32? (a) 0.1 (b) 5 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42782?\nAnswer: 2, 21391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 44 = 47. Let m(f) be the first derivative of f**3\/3 - 3*f**2\/2 + 2*f + 1. Let x be m(2). Solve -5*z - 3*h + 14 = x, 3*z - 5*h + 5 = -q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65.49 and -23835?\nAnswer: -1560954.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000553731748 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i + i**4 + 58*i + i**3 + 13*i + (-2*i**2 - 1 + 1)*(i**2 + 0*i**2 + i**2) + 0*i**4 + 6*i**4 - 5*i**4.\nAnswer: -2*i**4 + i**3 + 65*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 14.2\nAnswer: 85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 141*u - 57. Calculate the lowest common multiple of b(-71) and 1572.\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-95) + 7300\/30400.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and -13\/2309 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67150122 a multiple of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.583. Let f = -15.82 - -32.703. Let a = f + x. Round a to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.8 + 11.8. Let a = 14 - 15. What is the closest to a in -0.2, o, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11290, -22816, -34580, -46582, -58822, -71300, -84016?\nAnswer: -96970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**3*w**4 - t**3*w - 8*t**2*w**3 - 17*t*w**4 + 301*t*w**2 wrt w?\nAnswer: 96*t**3*w - 48*t**2 - 408*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 20 = 0, 4*x - 2*p - 3*p - 32 = 0. Suppose -x*r = -0*r - 12. Suppose b - r = -5*n - 2*b, 0 = 4*n - 5*b + 19. Does -1\/41 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -12\/18785 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i - 4 = -127. Let w = 0 + 0.2. Which is the nearest to w? (a) 0.5 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 2*h + 2. Let i(y) = 5 - 6 + 5*y**2 - 4*y**2 + y. Let g(c) = 10*i(c) + 5*q(c). Let s(w) = 7*w. Give s(g(n)).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 53*s + 412. Calculate k(-14).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -33. Suppose s = -k - 0*k - w, -5*w = 3*k + 4. Factor -154*t - 10*t**2 + 3*t**3 + k*t**3 + 159*t.\nAnswer: 5*t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 19, 6, -13, -38, -69, -106?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/27)\/g*g\/(g*g\/(g\/g**3)) assuming g is positive.\nAnswer: g**(-106\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 4*f**2 + 6*f - 5. Let l be v(4). Suppose 4*b = -2*n + 1732 - 1724, 20 = 4*b - n. Solve p + 5*s = -4*p + 30, -b*p - 3*s = -l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456841 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: Suppose -99 = 9*s + 306. Let m = 2540 + s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (663\/65)\/(22\/60) + 8\/44\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4507.26188 + -4472.76. Let w = r + 3.99645. Let a = w - 38.5. Round a to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371562.\nAnswer: 2, 3, 61927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.033 and -0.2.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 3*sqrt(143))\/sqrt(11) - (-1 + sqrt(39)\/sqrt(3)).\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 41, -100, 188 in increasing order.\nAnswer: -100, 8, 41, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) 5 (c) 1 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101222101112 (base 3) to base 7.\nAnswer: -1556636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160 + 116. What is the biggest value in -1, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 30. Let f(p) = -32*p - 214. Let g be f(-9). Let o = g + l. What are the prime factors of o?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 37*i + 45. Let w be r(-9). Round w to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 (base 12) in base 4?\nAnswer: 23210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 = 38*k - 695 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*f + 42, -f + 16*g - 12*g = 9. Suppose f*w - 10 = 9*w. Sort -7, w, -2, -3 in descending order.\nAnswer: w, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqkqkkqukuzgznk. What is prob of picking 1 n, 1 g, 1 k, and 1 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 449 - 423. Suppose 2*v = -s - 5 + 24, -4*s = v - 13. Calculate the remainder when r is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - -62 - -12) + 95 + 6\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25801638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 2.14?\nAnswer: 0.4066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-1)*m)\/m)\/m)**(1\/9))**(1\/4) assuming m is positive.\nAnswer: m**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15498*i + 616 = 15575*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*y**2 + 592*y + 11736 wrt y.\nAnswer: 84*y + 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349a69 (base 12) to base 11.\nAnswer: 528aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18. Is -2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -23125.\nAnswer: -1\/4625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123522, -494055, -1111622, -1976223, -3087858?\n\"Answer: -123517*h**2 + 18*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3401697 is divided by 1133895.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t - 6. Suppose 2*l = -2 - 6. Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -16. Let j = -5 + u. Let n = -6 + 11. Solve j*k + 1 + n = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 9.381\nAnswer: -121.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.1721?\nAnswer: 0.03442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8384243 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000973272 to seven dps.\nAnswer: 0.0000973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 - 293987*k - 19398786 = 0. Calculate k.\nAnswer: -293921, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 171*f**2 - 810*f + 26. Determine i(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11149022 is divided by 8079.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(192)*5) - ((2 + -5*sqrt(7))**2 - (2 + (-1 + sqrt(7) - sqrt(7))**2)).\nAnswer: -176 + 401*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1763 and 37351?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6*n - 54 = 0, 741*f - 1483*f - 54 = -745*f + 5*n for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put -3724\/33, -0.2, -0.3, 0.11 in increasing order.\nAnswer: -3724\/33, -0.3, -0.2, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5347*l = 5350*l + 110, 2*t + 134 = 3*l for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*d + 1001*d - 29770 = 252*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/28 + 2*b**3\/7 + 29*b - 29. Let w(u) be the first derivative of n(u). Factor w(x).\nAnswer: 3*x*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/9, -4, -3\/14, -45\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237 - -115. Let z = x + 65. Let b = z - -57.041. Round b to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*z**2 + 6 - 6 to f*z**2 + w*z + i and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -490430887\/1536 - -319291. Find the common denominator of d and -7\/1280.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-2)\/3*6. Suppose -7*z + q*z = -594. Let d be ((-4)\/(-5))\/(2\/45). What is the highest common divisor of d and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*b - 90*b + 212*b - 64*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243 + 237. Let w(z) = 8*z + 14. Let f be w(y). Let o(r) = 12*r**3 + 17*r**2. Let a(t) = -2*t**3 - 3*t**2. What is f*a(i) - 6*o(i)?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 0 in descending order.\nAnswer: 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2)*-2 + -5 - sqrt(2)) + -4 - (3 + sqrt(98) + -1 + sqrt(98))).\nAnswer: -34*sqrt(2) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -2. Let b(r) = 2*r**2 - 3*r - 3. Let g(a) be the second derivative of -a**4\/4 + 5*a**3\/6 + 5*a**2\/2 + 5*a. Determine z*b(n) - 3*g(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q**3 + 3942*q**2 - 1976*q + 115. What is h(-329)?\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 760 - 519. Let p = g - 240.5. Which is the second biggest value? (a) p (b) -1 (c) -3 (d) -13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 488\/(-610) - -2*(-3)\/(-10). What is the fourth biggest value in 0.18, -0.3, v, 3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5918 divided by 2.\nAnswer: 2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 2 + 13*h to the form w*h + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206838 is divided by 6263.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9002 = 5*d - 10115 - 25278. What are the prime factors of d?\nAnswer: 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - 0) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m + 7*m. Suppose 5*p - 20 = -5*v, m = 3*v - p - 8 - 0. Let z(q) = -5*q + 2. What is z(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.51 + -2.93. Let u = y - 0.08. Let k = -8.4879 + u. Round k to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1722 and 126.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*y + 257034 - 1054720. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107443750121\/80 + -1343024330. Let g = -22547 + c. Calculate the common denominator of g and -39\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.9 - -32. Let r be 2\/(-4) + (-12)\/(-24). Sort -0.2, y, r, -1\/8 in descending order.\nAnswer: y, r, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10)\/((v**(-2\/7)*v)\/v*v))**26*v**(-5)\/v**(-7)*(v*v**(-1\/4))**(-25\/3) assuming v is positive.\nAnswer: v**(-7919\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 334638.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 97298?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 302 * -6\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1581 + 17*w - 390 - 11*w - w - 3*w in the form v + h*w and give v.\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/12 - -11\/12. What is the closest to 0.2 in z, 0.4, -2, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -35. Let f = -27 - r. Let s = f - -26. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924*s + 11971 + 66913 = 0 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - 6*(sqrt(110) - (sqrt(110) - (sqrt(110) - sqrt(110)*1)))) + sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + f - 0*f + 17, m - 10 = -2*f. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*t**2*y*z - 2*t**2*z**2 - 6*t*y + 3*t*z**2 - 2*y*z**2 - 8*z wrt y?\nAnswer: -36*t**2*z - 6*t - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2 + 416*q - 1675. Calculate c(4).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 c when four letters picked without replacement from ccggggggccgggcgcggg.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = 24. Solve 3*u = 4*k + t, -k - 2*u = 4*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:05 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 89. Suppose s = -h*l + 4, s - l = 3*s + 7. Let k(j) = 2*j**2 + 3*j + 18. Is k(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9040? (a) 5 (b) 1\/2 (c) 0.4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 35 = -9*a. Solve -3*f + a*f + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/60 + j**2. Let g(f) = -5*f**2 - 5*f + 5. Let v(t) = -5*t**2 - 4*t + 4. Let a(z) = -4*g(z) + 5*v(z). Calculate a(i(l)).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8891 - 8891.0004993. What is s rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) 2\/5 (b) 2 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1138473000 to the nearest 1000000.\nAnswer: 1138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s**4 + 175*s**3 + 510*s**2 - 2300*s + 1000 = 0 for s.\nAnswer: -10, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 7) in base 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 1. Let y be i(-3). Let x be y - -1 - (-115)\/207. Does 5 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(115\/30))\/((-4)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -807?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 10 - 2 + 4*r. Let p be u(-10). Let y be (p + 5)*(-1)\/6. Is -1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, g: 2}. What is prob of sequence gdg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 488, 1939, 4368, 7781, 12184?\n\"Answer: s**3 + 483*s**2 - 5*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**2 - 4*d**2 + 19*d - 4*d**2)*(-23*d - 4*d - 6*d).\nAnswer: 33*d**3 - 627*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752882 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilogram in grams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -11 - -8)\/(9 - -21)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247\/390890 or 1?\nAnswer: 247\/390890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/9 (b) 0.011 (c) 4\/229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 9*u - 8. Let v be r(-10). Let o be (-80)\/15 + v\/6. Sort o, -0.1, -3\/4.\nAnswer: o, -3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pujkc. What is prob of picking 1 k, 1 j, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8114 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (368\/(-138))\/((4\/(-6))\/1). Let p be (-3 - (-308)\/16) + (-6)\/(-8). Sort m, -4, p in descending order.\nAnswer: p, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 1, h: 1}. What is prob of picking 2 p and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose 0*a = -a + 35. Suppose 0 + 3 = -3*q, -5*f + a = -5*q. Solve u*c - f = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, -4, -5, 337, 5.\nAnswer: -5, -4, 5, 337, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008873655742 to five dps.\nAnswer: 0.00887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-40)\/6)\/((-2)\/(-36))*-13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 7*s - 24 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 34. Let z be y(0). Calculate the greatest common factor of z and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbx when three letters picked without replacement from {b: 5, c: 2, m: 1, x: 5, v: 5}.\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/110 + 2*a**4\/11 - 15*a**3\/11 + 50*a**2\/11 + 1709*a. Let p(y) = 0. What is y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 - 2*s**4\/3 + 7*s**3\/6 - s**2 + s. Let y be m(7). Let d = y + 12. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9692461 divided by 59.\nAnswer: -164279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4790157 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a4 (base 12) in base 3?\nAnswer: -202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let h(a) = 5*a - 2. Let q(c) = 6*c - 30. Let w be q(6). Give w*k(x) + h(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 34. Suppose -5*a - 27 = -c, k*c - 33 = -11*a + 14*a. Solve 0 = -2*b - 3*d, -2*d = -2*b - c - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 1 + 7 + 8*u**2 - 2 + u. Is l(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-80))\/(3\/6). Let q = -54 + 52. What is the third biggest value in q, y, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 160*g**3 + 3*g**2 - 3*g - 12. Let d(o) = 800*o**3 + 16*o**2 - 16*o - 64. Give 6*d(z) - 32*t(z).\nAnswer: -320*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 26. Let j be m(7). What is the tens digit of ((-498)\/(-4) - 6\/4) + j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -11*s + 73 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w**3 - 44*w**3 + 128*w**3 + 161*w**3)*(-5 + 9 - 1)*(-3 - 3 + 5).\nAnswer: -684*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 8, u: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.1 - 14. Let c = -7.1 + s. What is the third biggest value in c, 0.1, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*r + 440185, 7*r - 3*l + 0*l - 616229 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 3*i**2 - 14*i + 874. Let z(m) = -3*m**3 + 8*m**2 - 38*m + 2617. Give 8*r(p) - 3*z(p).\nAnswer: p**3 + 2*p - 859","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -20) + 9 + 1 + (1 - (-3 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21110, 84404, 189892, 337574, 527450, 759520, 1033784?\n\"Answer: 21097*l**2 + 3*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:12 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 119969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 823439, 5.\nAnswer: -2, 5, 823439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let u(v) = -6*v + 1. Let w(c) = 4*c. Let z be w(-1). Let g be u(z). Let a be (12\/10)\/(10\/g). Give d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**4 + 1205*i**3 + 390*i**2 - 800*i.\nAnswer: 5*i*(i + 1)*(i + 80)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18394 is divided by 100.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**3 + 5*i**2 + 11*i + 1. Let q(j) = -9*j**3 + 6*j**2 + 13*j + 2. Calculate 6*m(z) - 5*q(z).\nAnswer: 3*z**3 + z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least -734165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20783902301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*u. Let a(p) = -2 + 7*p**2 + p**3 - 7*p**2 - 5*p**2 + 5*p. Calculate a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -474*z**2 + 404*z - 106. Let s(b) = -95*b**2 + 81*b - 21. Let x(a) = 3*l(a) - 16*s(a). Determine d, given that x(d) = 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d - 3888 - 3907 - 53*d**2 + 7798 in the form l*d + f + r*d**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/84754 and 103\/3162.\nAnswer: 4322454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + y**5 - y**5 + 0*y**5 + 2*y**5 - 6*y**5 + (3*y**2 - 2*y**2 + 0*y**2)*(-y**3 + 1 - 1) + y**5 - 3 + 3.\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2 - 1 - 1). Let n(m) = -m + 6. Let h be n(k). Solve -i - 2 = -h*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 28. Let r = n - -6.9. Let i = -17\/45 + 8\/45. Put i, r, 1, 0 in descending order.\nAnswer: 1, 0, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3085 and -1?\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 - 10*s - 8. Let y(o) = 11*o**2 + 29*o + 23. Let x(a) = -8*p(a) - 3*y(a). Let j be x(-6). Let l(r) = 5*r - 1 + 1. Calculate l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 189, 3, -3\/8, -1\/2 in decreasing order.\nAnswer: 189, 6, 3, -3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c + -3a9?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 48 - 48.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1330 and -232861\/175 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 122 in 3\/7, 3, -1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 6*w**3 - 8*w**3 - 9*w**3 + 5*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1315*d*t**2 - d*t - d + 5*t - 8 wrt t?\nAnswer: -2630*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1097580?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h + 0 - 1\/15*h**5 + h**3 + 9*h**2 + 0*h**4. What is the first derivative of j(x) wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11745 by -1305.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 - 4*j - 4. Let u be h(-2). Let f be u\/5*(-30)\/9. What is the greatest common factor of 16 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 44, 101, 210, 389, 656?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/(-22))\/(4\/(-2992)). Calculate the greatest common factor of d and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-28) + (2 - (-7780)\/35) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 1620.\nAnswer: 61560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 8, 35, 84, 161, 272, 423, 620?\n\"Answer: q**3 + 2*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20713812 (base 9) in base 4?\nAnswer: 212012221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 7 + 33. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-91) - (-24)\/13. Let s(y) = 5*y**2 - 4*y**2 - 5 + 3*y**j - 235*y**3 - 69*y**3. Is s(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5692061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + 106. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -58*s**4 - 2*s**3 - 113*s + 4. Let a(c) = 57*c**4 + 3*c**3 + 114*c - 6. Let p(t) = 2*a(t) + 3*g(t). What is the second derivative of p(r) wrt r?\nAnswer: -720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10133 + -2033311?\nAnswer: -2110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272609 is divided by 9400.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*h**3 - 17*h**3 - 3*h**2 - 15 - 55*h**3 + h**2 + 0*h**2 in the form m*h + i + n*h**2 + b*h**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (18982\/(-5))\/(-5*(-32)\/(-400)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let y = 20.36 + -20. Let h = y + -0.16. What is the nearest to 0.1 in 2\/9, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27536.\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26532 is divided by 3815.\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/630? (a) 4\/5 (b) 37 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180)*3)\/(sqrt(36)\/(sqrt(18)\/sqrt(3))))\/((2*(2*sqrt(30) + sqrt(30)))\/(sqrt(10)\/(sqrt(2)*1))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -26490.9 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -99717354.\nAnswer: -49858677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaavaajyjvjyayaav. Give prob of sequence aaay.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 8. Let y(b) = -2*b**2 + 2*b + 6. Let h be y(3). Let x(r) = -21*r + 15 + 10*r + 0*r + 2*r. Calculate h*x(q) + 11*i(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22430251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47440 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 14*g**2 + 17*g - 10. What is the tens digit of d(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244837989 is divided by 4080633.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.1 + -110.1. Let y = 8.603678898 - -83.396318882. Let h = y + l. What is h rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*t + 3. Let b(n) = n**3 + 9*n**2 + 21*n + 11. Let a be b(-3). Solve a*o = t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12182.\nAnswer: 2, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15659 + -15649. Calculate the highest common divisor of 14230 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/10)*g\/(g*g**(-7))*(g**(-2\/5))**(-27\/4) assuming g is positive.\nAnswer: g**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22\/7*r**2 + 2\/7*r**3 - 22\/7 - 2\/7*r = 0. Calculate r.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1728) - (sqrt(1728) - (sqrt(1728) + 1))) + 3 - (sqrt(192) + -1)*2)**2.\nAnswer: -456 - 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/15)\/((-18)\/(-10)). Let u = 0.29 - 0.19. What is the closest to u in 1, z, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -1, 4, 1179?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -471. Let j = 1670\/7 + m. Suppose 0 = 4*d - 5*h + 15, -h + 0 = 3*d - 3. Which is greater: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -336918, -336908, -336898?\n\"Answer: 10*h - 336928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = 4*d - 2*o, 5*d - 7 = -3*o. Suppose -4*y + 4 = -0. Factor -3*m**2 + 2*m**d + 0*m + 0*m + y.\nAnswer: -(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -1\/12*w**4 + 0*w + 0*w**3 + 7*w**2 + 0. Let y(f) = -119 + f**2 + 119. Give y(g(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddf when four letters picked without replacement from {f: 1, h: 4, d: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (36\/(-7))\/(-4). Let o be 2\/(-1 + 5) - (-96)\/(-72). Let y = 4\/11 - 19\/22. Which is the biggest value? (a) x (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -5, 5\/6, -0.05, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 5) + 14 + 4 - 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9699.\nAnswer: 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/56 - -4 - (-27)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/60 - a**4\/3 + a**3 - 3*a**2. Let u be c(-9). Sort u, -0.2, -4 in ascending order.\nAnswer: -4, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592777613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 3*o - 4 + o**4 + 2*o**2 + 13 as u*o**3 + s*o**2 + x + i*o**4 + z*o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/8, -0.3, 13\/7, -44?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 41613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -38\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(605) + sqrt(605)*-4 - sqrt(605)) - -6*((-3*(sqrt(5) + (sqrt(245) - sqrt(5)) - sqrt(5)) - sqrt(5)) + sqrt(5))**2.\nAnswer: -44*sqrt(5) + 9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1 - (2 + 10 - 0)). Suppose 0 = -5*i + 3*y + 14 + j, 5*i - 5*y = 35. Are 2 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 7129\nAnswer: -7134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - i. Let z(y) = -5*y**2 + y. Let o(a) = 2*c(a) - z(a). Find v such that o(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, -5, 1775851 in increasing order.\nAnswer: -5, -3, -1, 0, 1775851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17) + 0 - sqrt(17))**2 + (sqrt(2448) + 3*sqrt(2448) + sqrt(2448))**2 + 3 + sqrt(612)*2 + 0.\nAnswer: 12*sqrt(17) + 61212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - b = 3*o - 9, 6*o + 127*b - 122*b = 31 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3595361 or -3595354?\nAnswer: -3595361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.4 (b) 0.3 (c) 0.1 (d) -409 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1481 - -4442\/3. Which is the nearest to -99? (a) 1 (b) -0.1 (c) -0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 833 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(-28*f**3 + 26*f**3 + 88*f**3)*(0 + 0 + 10) as h*f**2 + t + k*f + b*f**3 and give b.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 275*o**2 + 2*o. Let z(w) = 4*w**2 + 14*w. Let k(j) = -j**2 - 4*j. Let b(l) = 14*k(l) + 4*z(l). Calculate g(b(t)).\nAnswer: 1100*t**4 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*o**2 - 18*d**2*o*t - 26507*d**2 + 490*o**2*t wrt t?\nAnswer: -18*d**2*o + 490*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 17166 - 17169 = -s, s - v - 11 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 10*w - 3 = 0. Suppose -6 = 2*n, 0 = -3*c - 8*n + w*n - 3. Let l be (((-8)\/10)\/c)\/(-5). Are l and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -10119027263.9999501 + 10119026731. Let v = 533 + t. What is v rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221 (base 3) to base 4.\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 9*m - 8. Let a be j(-11). Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 + -20 + 728\/119. Let k = 67\/6 + -131\/12. Which is the second smallest value? (a) u (b) -1\/7 (c) 1\/9 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 18. Is 8\/3 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40092188 by -5.\nAnswer: 40092188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 10. Let b(a) = a**3 + 5*a**2 - 4*a + 5. Let o be b(-6). Let h be q(o). What are the prime factors of h\/3 + (-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r = -188*r - 1735 - 1385 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00322515 to five decimal places.\nAnswer: -0.00323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000608651 to 7 dps.\nAnswer: -0.0000609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149\/210 - 1\/210. Suppose 0 = -c - c. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -680 * -0.151\nAnswer: 102.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 199021 rounded to the nearest one thousand?\nAnswer: 199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(2\/20). Let m be 24\/o*(-1)\/2. Let p = 15 - 11. What is the nearest to 0.2 in -1, p, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and ((-18)\/27)\/((-2)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -6. Let p = r - 6. Sort p, 0, 2.\nAnswer: 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001568511 rounded to 6 dps?\nAnswer: 0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((-28)\/(-70)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(21))\/sqrt(3))**2 + 0.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3978 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2296*b**2 - 45918*b + 14. Give s(-20).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1820575689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*c + 21*c - 572 = 5812 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-26)\/(-195))*(-61 + 51).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 15, r: 4}. Give prob of picking 1 r and 2 u.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -7545.\nAnswer: -2\/2515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 641, 640, 639?\n\"Answer: -i + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 + 224. Suppose -2*k + 56 = -q, -2*q = -4*k - 5*q + c. Let t(u) = 37*u - 5 + u**2 - 70*u + k*u. Give t(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 635 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.001, 14, -0.01, -5?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1618*a. Let b(k) be the third derivative of k**5\/30 - 6*k**2 - 22. Give b(c(t)).\nAnswer: 5235848*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 86 = 0. Suppose 0 = 4*l - 4, -4*l + 0*l = -2*y - 14. Let d(p) = -p**3 - 5*p**2 - 3*p. Calculate the remainder when v is divided by d(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.92 (b) 3 (c) -4 (d) -1756\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6732, -1, 345, 1 in decreasing order.\nAnswer: 345, 1, -1, -6732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 37928 (b) 0.3 (c) -0.2 (d) 0.1 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = -5*a + 2*o - 5, -a = -5*o + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v = -55*v - 34. What is the remainder when v is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 4, 123, 2 in increasing order.\nAnswer: -7, -4, 2, 4, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 18e438?\nAnswer: -18e438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4 + 227*f**3 - 3841*f**2 + 16528*f - 7332 = 0.\nAnswer: 1\/2, 6, 13, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25826291*f**5 + 15121228*f**2 wrt f.\nAnswer: 1549577460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -58, -58, -56?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21480 and 5.\nAnswer: -21475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r. Let c be (0*3\/9)\/(-2). Let o(a) = c + 0*a**2 + 0 - 2*a**2. Give o(d(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-16)*-4*(1 - -3). Suppose -i*s - 2*s + 30 = 0. Solve -3*c = 4*w - 1 + s, 0 = 5*w - c + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/(-21))\/((-8)\/28). Let z = -5 - -7. Suppose d*g - 40 = z*g. What is the least common multiple of g and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*r - 4*v, 2*v + 1 = -4*r + 19. Suppose 0 = 2*b - 5*d - 248, -b = 2*d + r*d - 111. What are the prime factors of b?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2202 and 6628387.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 10. Let l be t(8). Let m be -2 + (6 - -1) + 0. Suppose l*q - u + 16 = -m*u, u = -3*q - 9. Is -2 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 25 - 4 - 4 + 3 - 2 + 1 - 5 + 2 - 1 + 3 + 0 + (0 - 3 + 5)*(0 + 4 - 3) + 3 - 2 + 1)*(-2 + 2 + 2)*(0*z + 2*z + 0*z)*(-1 + 3 - 1).\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.741421 rounded to two dps?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 203, 718, 1579, 2786, 4339, 6238, 8483?\n\"Answer: 173*f**2 - 4*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30660550 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.055 (c) -0.8 (d) -2 (e) 3 (f) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -177*d + 12. Determine a(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6 + 3*v)*(0 + 0*v - 2*v + 1).\nAnswer: -6*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10515*c**2 + 12*c + 16. Let v(a) = 6*a + 8. Calculate u(t) - 2*v(t).\nAnswer: 10515*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 3*r - 3*r + 0*r + r - 3*r + (-1 - 1 - 1)*(0*r - 2*r + 4*r) - r + r + 3*r - 379*r + 42 - 90 + 48 as u + a*r and give a.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 662139460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10525126 + 78105638. Let o = a + -45166479. Let t = o + -10714033. What is t rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29455 > -29455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9337847*z**2 - 369*z**4 + 10 - 24*z + 3*z**3 - 9337847*z**2 wrt z.\nAnswer: -4428*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1943 + 2733. Suppose -w*h = -796*h + 108. Solve 24*p + 18 = h*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7e593d - -4?\nAnswer: -7e5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-2)\/3 - (-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 281629 = 34*y - 144496. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*g - 1467 = -272*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-31)*p\/p**(1\/8) assuming p is positive.\nAnswer: p**(-241\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1196403.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by (-9 - -12)\/(-21)*-203.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/91)\/2*(-16)\/(-6).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -102. Solve -m*u + 11 = 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16306*x**3\/19 + 12*x**2\/19 + 260896*x\/19 - 192\/19 = 0. Calculate x.\nAnswer: -4, 6\/8153, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d. Let w(t) = -6*t + 4*t + 4*t - 4*t. Give w(b(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23 + 2*(-8)\/(0 - -4). Suppose -46*w + 81 = -a*w. Find y such that -16\/5*y + 0 - 2\/5*y**4 + 4\/5*y**w + 8\/5*y**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8344219 years?\nAnswer: 0.0008344219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 2, c: 2, h: 1, y: 1}. What is prob of sequence hcj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/5)*t)\/(t\/((t*t**(-3))\/t))*(t*t\/t**19)\/(t*t*t**(-18)*t) assuming t is positive.\nAnswer: t**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -69. Suppose -v + n*v = 1001. Suppose -12*g + g + v = 0. What is the highest common factor of g and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 - 69*d + 150 = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/132*10*3\/75?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5464 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**2 + 3*k - 4 + 5*k - 4. Let u(m) = 301 - m**2 - 10*m - 300 + 9*m. Calculate -3*l(s) - 24*u(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4671\/2 - -2343. What is the third biggest value in 3, v, -3\/8, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bc431 (base 13) in base 6?\nAnswer: -51104414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n. Let l(a) = 162*a**2 + 8*a**3 - 162*a**2 + 16*a. What is 16*f(b) + l(b)?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 11*a**2 - 13*a + 13. Let y = 39 + -27. Let h be z(y). Is (h\/4)\/(1\/2188) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1591 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158447 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 15 = 6. Let d be (-2)\/(z\/9 + -2). What are the prime factors of ((-39)\/d)\/((-3)\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111974?\nAnswer: 2, 55987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24835526 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4, 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 1206.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Suppose -3*o + t*i + 0 = -8, -3*o - 4*i = 16. Find the third derivative of d**2 + o*d**2 + d**6 + d**2 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {m: 3, o: 16, k: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-68) - (-1200)\/170. What is the closest to -2 in -4, h, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2574 and 12870.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 110000010110 (base 2) to base 12\nAnswer: 195a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/5 - 59992*x**3\/5 + 448436838*x**2\/5 + 21660582328*x\/5 + 21212085496\/5 = 0. What is x?\nAnswer: -47, -1, 15022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -22*c**2 + c - 213. Let d(x) = 3*x + 7. What is w(d(z))?\nAnswer: -198*z**2 - 921*z - 1284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f - f)*(-f + 2*f - 2*f) + 3*f**2 - 2*f**2 + f**2 + (13*f + f - 5*f)*(-3*f + 4*f + 0*f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/15, 5, 4, -5, 29, -1.1, -36\/7?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -61876 (base 9) to base 4\nAnswer: -21331230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 8*n**2 - n. Suppose 0 = 11*x - 67 + 34. Calculate the remainder when k(-8) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 929016.7688954 + -929017. Let l = 4.4689894 - s. Let p = 4.7 - l. Round p to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-42)*183\/(-244)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -75, -141, -205, -267?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let u(b) = -27*b. Let m be 3*-1 - (-2387)\/(-217). Calculate m*y(g) + 2*u(g).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -100.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 476, 424, -1247 in decreasing order.\nAnswer: 476, 424, -1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 2597?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17019 divided by -3\nAnswer: 5673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 640 - 387. List the prime factors of u.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0*y**4 - 1\/120*y**5 + 0 + 0*y + 1\/160*y**6 + 0*y**7 + 0*y**3 - 14*y**2 - 1\/1344*y**8. Determine r so that k(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50.47 - -0.47. Let l = 55.4 + h. Round l to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 95?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 705, 1712.3, -1, -3, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(2 - -6)*(-30 - 45936\/(-1536)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a minute?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172661.\nAnswer: 23, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 15*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -26048394834781+-1\nAnswer: -26048394834782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 118907361 to the power of 1\/2, to the nearest integer?\nAnswer: 10904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -2*h**6\/15 + 13*h**3\/6 - 9*h**2. Differentiate x(v) with respect to v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419669 - 277897 - 1725052 = -11*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23564017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128473, 128331, 128213, 128131, 128097?\n\"Answer: 2*r**3 - 156*r + 128627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - ((-68)\/(-8) + 8). What are the prime factors of (-1548)\/j - (-2)\/8?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:13 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let j be p(-4). Suppose -2*f = o + 142, -3*f - j*o = -o + 219. Let a = 154 + f. Calculate the highest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let q(x) = -3 + x**2 - 7*x**2 + x + 3*x**2 + 4*x**m. Let s(w) = -2*w + 33. Let v be s(15). Give q(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68329640.\nAnswer: 2, 5, 1063, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 + -3?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2\/3, -0.4, 1, -15\/4, -0.2 in increasing order.\nAnswer: -15\/4, -2\/3, -0.4, -0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31001667.\nAnswer: 3, 29, 43, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728810.\nAnswer: 2, 3, 5, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-222)*(-66)\/484*(-1)\/((-6)\/(-33)).\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 148*b - 17306. What is i(117)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0274 and -1347.\nAnswer: -36.9078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -8*s**3\/3 - 14*s. Let z(v) = 2*v. Determine o(z(x)).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123284 and 2368.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -337*u - 136. Calculate the remainder when 2004 is divided by a(-1).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10)*5\/(-3)*(-450)\/(-12). Let q(a) = -4*a + 4. Suppose -5*k + 3*k + 8 = 0. Let s be q(k). Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 358 = 2*j + 1063, -5*m + 1059 = -3*j. Find the common denominator of ((-10)\/(-21))\/(j\/3451) and 49\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**3 - 84*f**3 - 114*f**3.\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:03 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1248, 9977, 33672, 79815, 155888?\n\"Answer: 1247*x**3 + x**2 - 3*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 6*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/4 - 22972*a + 91889\/4 = 0.\nAnswer: -91889, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1872734 is divided by 267532.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 1. Suppose 4 = -n + 3*z + 3, -5 = 5*n + 2*z. Let x be j(n). Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = n - 3*n + 28, 0 = 5*f + 5*n - 45. Suppose 7*w = 25 + f. Suppose 2*r + 3*q - 2*q = 247, -625 = -w*r + 5*q. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2132639.8100026 + 2132640. Let c = 0.19 - f. Round c to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + t + 1. Let g = 0 - 2. Let h(f) = f**2 - f - 1. Let l(w) = g*h(w) - 2*z(w). Let r(u) be the first derivative of -5*u**3\/3 + 2. Give l(r(d)).\nAnswer: 50*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let y(o) = -18*o**2. What is y(d(g))?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 g when four letters picked without replacement from tfgffggfffgfffffgfff?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2537325 divided by 5?\nAnswer: -507465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/77 + 12\/42. Let l = -60 + 63. Which is the nearest to 2? (a) q (b) -2\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*o - s, -3*o - 5 = -3*s - 2*s. Let p be (0 + 0)\/(-8 - o). Let y(d) = -13*d + 19*d - 5*d + 2. What is y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*u*y + 1530*h**3*y**3 - 2*h**3*y + 2*h**3 + 102*h**2*u + 2*h**2*y**2 + h*u*y**3 + 3*u wrt h?\nAnswer: 6*u*y + 9180*y**3 - 12*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 51*r = -1080. Solve y - 7*y = -r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 6087373?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13870885, -27741779, -41612673?\n\"Answer: -13870894*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2 + 4943*u + 14838 = 0.\nAnswer: -3, 4946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1 + 8440\/2. Let j be (-6)\/(-10) + d\/(-35). Let g = j - -188. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98964 is divided by 8996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-2 - -6) + -4. Suppose -m - 4*m = -4*x + 96, -3*x + b*m = -77. What is the remainder when 50 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 2:33 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txtt when four letters picked without replacement from tuuxuutttxxu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2 (base 15) to base 6.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 17*v + 12. Let o be k(8). Suppose f + o*t + 8 = 29, -3*t = 2*f - 37. Find the third derivative of f*a**5 + 6*a**5 + 19*a**2 - 39*a**5 wrt a.\nAnswer: -960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24*o**2 - 3*o - 1. Let c(q) = -45*q**2 + 6*q + 1. Calculate -3*c(r) - 5*j(r).\nAnswer: 15*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - w - 1959 = 0, 0 = 21*m - 26*m - 2*w + 4920. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263 - 228. What is the highest common factor of 28 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4791 = 2883*i - 6039*i + 3040*i + 1009 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**6\/150 - x**5\/100 - x**4\/60 + x**3\/30 + 6*x. Determine p, given that u(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from pjjoqqooo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2846.5 - 2847. What is the closest to -2 in x, 2\/87, 1, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-11)\/66*1)\/(60\/(-9810))\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 + 5217*c**4 + 74097*c**3 - 826881*c**2 + 2135946*c - 1388376 = 0. What is c?\nAnswer: -22, 1, 3, 4, 1753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1088 and 1193264?\nAnswer: 4773056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328 + -328.1. Let l be -1*3 + (-34 - -13). Let z be 1\/(-4) + (-18)\/l. What is the closest to k in z, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*40\/(-250))\/((-1)\/5*1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -12.8 (c) 1 (d) -5 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 74 = 5*k, -2*k = 3*k - 2*m + 59. Let r = 28 + k. Suppose 5 = 4*t - r. Solve 0 = -g + 4*l, -t*l = 4*g - l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.5. Let p = -8 - -5. Let q be (2 - 2)*(-1 - 2\/p). Put j, 3, q in descending order.\nAnswer: 3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/10 + (85\/25 - 3). Let d(s) = -s**3 - 2*s**2 + 1. Calculate d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(28)\/(sqrt(24)\/sqrt(6))) + sqrt(108) + (sqrt(108) + -4)*-5)**2.\nAnswer: -920*sqrt(3) + 1987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340 (base 8) in base 11?\nAnswer: -a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445 + 3*n**3 - 445.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439953 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-5 - (-126)\/(-6)). Let l(r) = -12*r - 54. List the prime factors of l(p).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 687060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {y: 4, s: 3, o: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + sqrt(22)\/sqrt(176)) + (((sqrt(17) + -1)**2 + sqrt(17) - sqrt(17)) + 1 - (0 + sqrt(1700))).\nAnswer: -56*sqrt(17)\/5 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010001111011101 - 11?\nAnswer: -1101010001111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831, 3657, 8383, 15009, 23535?\nAnswer: 33961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -30*f**2 + 3*f - 2. Let v(z) = -8*z**2 + z. What is a(l) - 4*v(l)?\nAnswer: 2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 12*z**2 - 2745*z + 38162. What is p(14)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -27, -58, -111, -192, -307?\n\"Answer: -t**3 - 2*t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -1.96. Let a = -1.3 - -1.1. What is the biggest value in a, -0.4, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036857\/346 greater than or equal to -2998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.041382 to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -65. Let n = -9 - o. Solve l = -4*b - 3, -2*b + l = -3*l + n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 4\/3, -25, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42214704 and 504.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10*w**2 + 3 + 36*w**2 - 27*w**2 - 2*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646130667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 74, 152, 256?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*d + 16, -3*y - 3*d = -3 - 3. Let z = 2 + -3. Suppose 0*r + 4*r = -8. Which is the nearest to z? (a) r (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccg when three letters picked without replacement from cegcfgceccgfcef.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(1840\/280))\/((-56)\/72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*4*(-1)\/2. Suppose 2 = 5*i - m, -5*p - 5 = -5*i. Calculate the highest common factor of 24 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4634949 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-5)*(17 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 0, 3 in increasing order.\nAnswer: -8, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5932 (b) 1739 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907590303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 74116297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 - 236 = 3*f, 10 = 5*y - f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -5, -3 in descending order.\nAnswer: 60, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/8)*(-6631)\/(-1396).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(20)*-3)\/sqrt(10).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002054 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3 = -4*v - 17, 317*l = 319*l + v + 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1667 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 4:50 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41, 92, 185, 326, 521, 776, 1097, 1490?\n\"Answer: v**3 + 15*v**2 - v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-19 + 23 + 2 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2\/2 + 3 - 16. Let h be 45\/(-105) + (-34)\/c. Suppose -4*x + 4*f + 186 = -170, 5*f - 150 = -h*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1. Suppose 4*r - 36 = r. Suppose 2*p + 4*v = -r, -11 = 5*p + 4*v + 19. Let g(w) = 2*w + 10. Let y(o) = p*u(o) + g(o). Give y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348.6 + -349. Which is the nearest to 4\/5? (a) 0.7 (b) o (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2140, -4288, -6436, -8584, -10732?\nAnswer: -12880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 5*z - 7. Let n be c(9). Suppose 0*v + 2*v - n = 0. Let t = -6 + 13. What is the remainder when v is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h**2 - 7*h + 11. Let w(g) = g - 2. Let t be w(-6). Let z be s(t). Let u = 8 - 8. Solve u - 3 = z*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1767 + 2512. Suppose 3*k - 3*t - 477 = 0, -5*k - 3*t - 2*t + u = 0. Let q = 289 - k. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and 0.43481.\nAnswer: 0.52481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 5, -4, -0.3, -12, -2, -24\/1493?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17163.62 and 0.07533.\nAnswer: -17163.54467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 58*c - 255. What is the remainder when g(10) is divided by 144?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hivikkp. What is prob of sequence iv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 43404040?\nAnswer: 43404022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2212401 + 4?\nAnswer: -2212353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 - (-3 + 2 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1112.\nAnswer: 1\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10 = m. Suppose q = -5*c - 0*c + 11, -m*q - 1 = -3*c. Suppose 0 = 3*t - 8 + 2. Calculate the remainder when t is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000915778142 rounded to seven dps?\nAnswer: -0.0009158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 + 120. Suppose c = 6*d - 18 - 0. Find the second derivative of -36*z + 32*z**d + 8*z + 0*z wrt z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*v - 1. Suppose 5*s = -v*g, -7 = -2*s + 3*g + 3. Suppose -t = 2*k - 2*t - 10, -s*k + 3*t + 2 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 26*y**2 - 104*y + 63. Give o(-21).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351959 is divided by 35150?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 45 (c) -2\/16625\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138652?\nAnswer: 2, 3, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2283449 - 2283449 + 1355*w**2)*(2 - 3 - 2 + 2*w).\nAnswer: 2710*w**3 - 4065*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(-4)*(s\/s**(-2\/17))\/s*s\/s**(1\/3) assuming s is positive.\nAnswer: s**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 128 + c + 1\/2*c**2. Let d(g) = -10*g - 2. Let t(p) = 19*p + 5. Let u(x) = 5*d(x) + 3*t(x). What is 4*s(f) - u(f)?\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 43*k**4 + 3*k**2\/2 - 2167*k - 2047. Find the first derivative of x(n) wrt n.\nAnswer: 516*n**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*f + 122*f = 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 0. Suppose 2*r + 4 = 2*j, -r + 2*j = -u*r + 6. Solve -r = 5*c + 3*k + 3, 0 = 5*c - 2*k - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(360)*-5*4)\/(3*-1*sqrt(72) - sqrt(72) - (sqrt(72) + -1*((sqrt(72) - sqrt(72)*1) + sqrt(72)))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*o + 59 + 245 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -o - 7, 4*b + 0*b - 16 = o. Let t(g) = 0*g**b + 2*g**2 + 2 - 3*g**3 + 4*g**3 - g. Let w = 59 - 61. Give t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 225*s**2 - 8*s - 5. List the prime factors of h(-1).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.384 - -19.084. Let p = -1.7 + j. Let z = p + -17.1. Which is the third biggest value? (a) z (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-4)\/(-2)) + -5. Let o = 1 - b. Let r be 130\/6 - (-1)\/3. Solve 0*d - 3*a - 2 = -d, 3*a + r = o*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**(-1)*x))*x\/x**(1\/4))**14 assuming x is positive.\nAnswer: x**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854274404?\nAnswer: 2, 3, 113, 1367459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2841 + 10648. Suppose 6*i = m - 901. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-325)\/2)*(-34)\/204*-90?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (-67 - -65) - (-14 - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 39837382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2 + (-16)\/32. Suppose r*w = -4*k + 4*w + 4510, 3*k + w = 3390. List the prime factors of k.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -16. Let w = 11 + f. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 57067*q**2 + 2 - 3 + 57068*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1272 or -1269?\nAnswer: -1272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 2. Let f be l(0). What is the third derivative of -11*x**f - 3*x**5 + 4*x**5 + 2*x**2 + 3*x**5 wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -17\/3796753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.14 rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 766427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 726858 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = 4*o - 2, -4*t = 5*o - 8. Suppose -92 = -2*y - 11*k + t*k, 202 = 5*y - 4*k. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1789984 by -262.\nAnswer: 6832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (159950\/5)\/2 - (-14 - -18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6481468443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 1669 = 10*v + m, -3*v - m = -1003. Suppose 3*l - 3*h - 1548 = 0, -4*l - 4*h = -v - 1698. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b**2*z - 2*b*z - 130*b - 18*z - 202 wrt b?\nAnswer: -10*b*z - 2*z - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a + 0)*(-a + 1 - 1) - a**2 - 5*a**2 + 2*a**2 - 2*a**2 - 3*a**2 + 3*a**2 + (2 - 2 + 2*a)*(-a - a + 4*a) - 2 + 2 + a**2 + a**2 + a**2 - 8*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/15 + 0 + (-2)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.6 + -14.6. Sort 7\/8, u, -4\/9 in decreasing order.\nAnswer: u, 7\/8, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - -50) + (-65)\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 128416 (b) -0.2 (c) 2\/19 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 0*x**3 + 4*x**3 + (-373 + 187 + 142)*(3*x**3 - 5*x**3 + 3*x**3))*(5 + x**2 - 5).\nAnswer: -45*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**5 - 350*o**4 + 4820*o**3 - 8200*o**2 = 0.\nAnswer: -82, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91.88 + 89. What is y rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let w be ((-36)\/50)\/(93\/(123690\/(-76))). What is the second biggest value in d, 2\/5, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 93*i**2 - 48*i + 101. Let u be b(46). Solve u*l - 1 = 10*l + 5*c, 3*l - 10 = -2*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 + (12 - (-151 + 100))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = -12. Calculate the remainder when (184\/j)\/(-2 + 4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265207, -265205, -265203?\nAnswer: -265201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j + 21*j - 81*j - 850 = 0 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 26*z**2 - 83*z + 338. Let f be h(23). Solve -2*k + f = -2*m, 0 = -37*m + 39*m + 3*k - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*r + 12*r - 82*r - 3*r - 89 + 73 as h + j*r and give j.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {r: 1, f: 10, s: 2, n: 2, q: 1, m: 3}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*q + 0*q = 20, y - 4*q = -21. Let l(n) be the third derivative of 5*n**4\/24 + n**3\/6 - n**2. Determine l(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2313110812 - -1.4.\nAnswer: 2313110813.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.541 + 0.54099713. Round h to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2) + (sqrt(8))**2)*-5*4 - (4 + sqrt(32) + -3 + -3)**2.\nAnswer: -136 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzw when three letters picked without replacement from oowgguzzwruz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98961 is divided by 63.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 145 = 5*o, 3*o - 22 - 71 = -x. Calculate the greatest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + -114. Let o(c) = 4*c. Let b(z) = -4*z - 3*z - 21*z. Let p(y) = x*b(y) + 20*o(y). Let q(j) = 4*j. Determine p(q(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/2))**25)**(-9\/4))**45 assuming k is positive.\nAnswer: k**(30375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2168*s**5 + 853*s wrt s?\nAnswer: -43360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -32*z**3 - 544*z**2 - 3669*z - 62378. Determine a(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-614)\/84 + 4000\/960.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159466 and 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13913731 >= 13913732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(30)\/sqrt(40) + -2*sqrt(147) - (sqrt(432) + sqrt(432)*-2*-4))**2 + -3.\nAnswer: 885723\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4\/7, -1\/3, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*a + 3. Let c = -74 + 68. Is c at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 3*m + 4. Determine i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -ed (base 16) in base 7?\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 + 8*c**2 - 1085*c - 6144329 wrt c?\nAnswer: 6*c**2 + 16*c - 1085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -211, 0.02, -10, 15 in descending order.\nAnswer: 15, 0.02, -0.1, -10, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1451.7, 0, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 30*l - 250. Give j(-21).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/16 and 79\/1010?\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-14)*43\/(-3)*-2. Let u = -46 + x. Let s(l) = 2*l**2 - l**2 - 3*l + 4*l. What is s(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76\/(-684) - 4\/(-36). Let z(l) be the third derivative of 0*l**4 + 0*l**3 + 11*l**2 - 1\/12*l**5 + 0 + t*l. Let p(k) = 2*k**2. Calculate z(p(y)).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*j = -14, -5*y + 2 = -2*y - 4*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -32. Let d = x + 2.7. What is the second smallest value in 2\/3, 12, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47982 is divided by 1163?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, 1\/7, -11\/265?\nAnswer: -11\/265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/15 - 2*l**3\/5 - 2*l**2\/15 + 2*l\/5.\nAnswer: 2*l*(l - 3)*(l - 1)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**4 - 5*o**3 + o**2. Let u(l) = -l**3 - 25 - l**2 + l**4 + 25. Let w(p) = u(p) - v(p). Suppose w(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + y + (-y + 1 - 1)*(2 - 3 - 4) + 1477*y - 3066*y - 300*y.\nAnswer: -1883*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 704 = 2*z, 0*z - 4*b - 1400 = -4*z. Is 353 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 1. Let z(l) = 41*l - 4. Let m(n) = p(n) + z(n). Let u(x) = -9*x. Give m(u(q)).\nAnswer: -333*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-4*m - 3*m + 5*m) + (0*m + 0*m - 2*m)*(-75 - 297 - 125).\nAnswer: 998*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1282396.75789 and -0.1.\nAnswer: 1282396.65789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 631, 4279, 7923, 11563, 15199, 18831?\n\"Answer: -2*n**2 + 3654*n - 3021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2310*d - 895*d + 757*d + 66096 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2268)\/(-486)*66*(-1)\/(-4)*-1*1\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -717, -934, -1295, -1806, -2473, -3302, -4299, -5470?\nAnswer: -6821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.234 - -4.234. Which is the closest to -2\/9? (a) x (b) -19 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {x: 6, o: 2, n: 2, z: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*f - 40, 2*f = -3*f + 4*y. Does 26 divide 309\/6 + (-2)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -27. Solve 2*u = -o + u + 10, n = -4*u + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:47 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 105 + 225 = 132*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-1\/4)*b)\/b**(-13)*(b*b*b**(-6))**(-2\/9))**(-1\/3) assuming b is positive.\nAnswer: b**(-617\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*n**4 + 3*n - 4*n - 7*n wrt n?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 6. Let c be q(3). Let v = 15 + -7. Let h = c + v. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/56 + (-45)\/(-4). Suppose -8*s + j + 12 = 0. Let p(i) = 4*i - s*i**2 + i**3 + 21 - i**2 - 9 - 13. Give p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*x = 7, -2*h = -0*h + 2*x - 18. Suppose -193 = -j + 2*c, -h*j + c + 1020 = 2*c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2599 - -7795\/3. What is the third smallest value in -1\/2, f, 0.028, 3?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(24\/7)\/j**0*(j*j**(-11)*j*j*j)\/(j**(-27)*j) assuming j is positive.\nAnswer: j**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(810)*2))\/(((sqrt(5) - (sqrt(5) + -4*1*sqrt(5))) + sqrt(5))*4).\nAnswer: sqrt(3)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + v = 9 - 4, 0 = -2*i + 4*v - 2. Let h(a) = -5*a - i - 3 + 5 + 1 - a**2. Suppose -2*b + 3 - 11 = 0. Determine h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-308)\/1386*(-18)\/46?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5. Suppose 0 = 23*g - 21*g - 2. Let z(b) = -50*b + 23. Let q be z(g). Sort j, q, -2 in decreasing order.\nAnswer: j, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, -5, -447 in decreasing order.\nAnswer: 0, -3, -4, -5, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2571413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i - 4*i)*(-2*i - 2*i - 2 + 5*i).\nAnswer: -7*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36764 by -18382.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 5. Suppose g*s - 2 = 5*s. Solve 3*v = -5*c + 11, 6*c = s*c - 2*v + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -562\/9 (b) -0.02 (c) -1 (d) -0.5 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 275242292 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -0*k - k. Suppose -5*g - u = -k, -3*g - 144 = -7*g - 2*u. Suppose 4*t + 2*d = g, 3*t + 0*d - 29 = -2*d. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375 times -1416?\nAnswer: -1947000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0769 + -9.9231. What is the fourth smallest value in -2\/3, 0.4, 38, t?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 15. Find the first derivative of l - 1 - 2*v**3 + v**3 - 3 wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*t - 38 = 2*t, -4*k + 3*t = -52. Suppose -12*x = -k*x - 4. Find z such that -1\/2*z**3 + 0 - z - 3\/2*z**x = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -265\/29 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-288)\/42)\/8)\/((-4)\/(-7)). What is the closest to -1\/3 in -2, n, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1533*r = -1536*r + 2*x - 20, x = -3*r + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from qqqqqqaaamqaaaaqmaq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20*(1 - (-1 + 1)). Suppose -q = -11*q + j. Let r be ((-27)\/12)\/((-13)\/8 + q). Let u(f) = f + 4. What is u(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/4 + 43*d**2\/4 + 355*d\/4 + 825\/4 = 0. What is d?\nAnswer: -33, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448340 to the power of 1\/2, to the nearest integer?\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 155003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z = 40*z - 27 - 85. Calculate the smallest common multiple of 672 and z.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 34*a**2 - 39*a + 14. Let q be k(38). Let h be (-4)\/2 + 8 + q\/(-720). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 2*b + 21 + 2 - 5. Let y be u(-14). Let l be y - (-4)\/(-2) - -3. Put 4, 3, l in descending order.\nAnswer: l, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-7))\/(1\/(-699)). Let i = d + -497. What is the lowest common multiple of i and 2?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 33*y - 7 = -3*a, -7*a = 10*y - 5*y - 8*a + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -4*m - 0*m - 2*y - 213, -5*m - 2*y + 6 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 127 - 127 + g. Let u(v) be the first derivative of 5*v**3 - 2. Determine u(a(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**4 + 11*k - 2*k**4 - 14*k wrt k.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518328954 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 257551 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 831 and 12147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-9\/5))**(-3))**(2\/119) assuming d is positive.\nAnswer: d**(-6\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 - k. Let t be p(1). Let q = -18.299 + 4.299. What is the closest to q in -1\/6, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126395 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by -4?\nAnswer: 195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 17 - 23 = 0. Suppose 0 = x + 2*x - 9, 5*x - 12 = h. Let z = 12 - h. What is the remainder when z is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -54. Suppose -w*p = -194 + 50. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*n - n + 2212 = 0, -3*c + 1335 = 5*n. Let f = -417 + c. Calculate the remainder when 156 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let o = -99 + 104. Which is the smallest value? (a) 16 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/6 and 1\/1210667 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000 (base 2) in base 12?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 628*j + 643*j + 636*j + 760 - 1910*j to h + v*j and give h.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/9))**(-2\/141) assuming j is positive.\nAnswer: j**(-14\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 1.78\nAnswer: 46.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*p + 31, -2*p - 3*z - 2*z = -8. What is the remainder when 16 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6799946*t. Let l(z) = 3*z. Give x(l(y)).\nAnswer: 20399838*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 3*r - 3. Let m(p) = -13*p**2 - p + 5. Let c(a) = -24*a**2 - 2*a + 9. Let q(w) = 6*c(w) - 11*m(w). Let h = -2 - -8. Give h*q(v) - 2*o(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 25 = -h, -4*c + 2*h + 442 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0 + 7\/6*k**3 + 3*k - k**2. Let d = 21970 - 21968. What is j(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-50))\/((-5)\/250*-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1\/2 (c) -91682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -21*c**5\/5 + 3186*c**4\/5 + 6957*c**3 + 6774*c**2 - 54324*c\/5 - 17496\/5 = 0.\nAnswer: -9, -2, -2\/7, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -14. Let t(l) = 2*l**2 + 3*l. Let y be t(h). Suppose y*x - 3*w = -5*w + 3919994, x = -2*w + 1959994. Round x to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*h - 41. Solve 32 - 7*d**2 + 3*d**2 + h*d + 6*d**2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -501*m**3 + 5*m**2 + 2*m + 80. Let z(n) = 1504*n**3 - 14*n**2 - 6*n - 248. Let c(b) = -11*o(b) - 4*z(b). What is the third derivative of c(v) wrt v?\nAnswer: -3030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 370*q**3 + 3*q**2 - 13*q + 51. Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 7*o + 1. Let c = 3 - 49. Let u = c - -56. List the prime factors of r(u).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 10:11 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180067.\nAnswer: 23, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1508803*f - 7543983. Determine b(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3*m**3 - 12*l**3*m**2 + 107*l**3*m + 47*l**2*m + 343*l*m**3 + 1 wrt l.\nAnswer: -12*m**3 - 72*m**2 + 642*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -335*c**2 - 54*c**5 - 49*c**5 - 289*c**2 + 29*c**2 - 6*c**5 wrt c?\nAnswer: -6540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*r - w, -w + 13 = -3*r + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + -10 + 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*n = 16, 0*n + 85 = 5*o + 4*n. Suppose 5*f - 2 = o. Let x = 83 - 80. Solve -x*q + f = -i - 6, -q = 5*i - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4859, 4946, 5089, 5288, 5543?\nAnswer: 5854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 1\/3 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p, -4*p = 508*m - 513*m + p - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l + 4*b = -64*l - 27, 2*b = 3*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61762?\nAnswer: 2, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6*b**2 + 4*b**2 + 6 + 56*b**3.\nAnswer: 56*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1104360416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7254.77km?\nAnswer: 725477000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27968514, 27968523, 27968536, 27968553, 27968574?\n\"Answer: 2*k**2 + 3*k + 27968509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 6*-1) + -2. Let s be ((-9)\/90)\/(3\/(-101)). Let c = s - 7\/2. What is the third smallest value in 0.3, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6, 4*z = 3*i + i + 16. Let u be ((-4)\/z)\/(-2) - (-12)\/7. Suppose -u*n + 90 - 82 = 0. Solve -3*f = 0, n*l + 3*f = -16 - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5606099.39 less than -96.8?\nAnswer: 5606002.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61169, -61171, -61173, -61175, -61177, -61179?\nAnswer: -61181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:37 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r = -0*r + 24035. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 4*v + 11. Give t(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/550*((-844)\/144 + 6)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(10*c + 6*c - 31 - 15*c).\nAnswer: -c + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1760 + -850. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(7128\/880)*(-1)\/((-15)\/(-126))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24871876579 plus -2.484?\nAnswer: -24871876581.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-1 + -1)) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*p + 160*p + 152*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 - 84*m + 345 = 0.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580633340?\nAnswer: 2, 5, 129031667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/(k**(2\/13)*k))\/((k\/((k\/(k\/(k*k**(1\/2)*k)))\/k))\/(k\/k**(-10))) assuming k is positive.\nAnswer: k**(477\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14590 is divided by 347.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8240 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -143*t - 55. Let q(w) = -8*w - 3. Determine -3*c(u) + 55*q(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 748*f**2 - 81*f - 2. Let c(a) = 52*a. Determine c(u(g)).\nAnswer: 38896*g**2 - 4212*g - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/32 - (-6)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 55 = 4*w - 52, -5*w - 30 = -4*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: f4074 (base 16) to base 3\nAnswer: 1212210010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -216724 != -217037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*4\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 24 = 0, -3*v - 22*m + 20*m - 1 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 14 + 31. Suppose -j - 21 = -5*a. What is the remainder when 11 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -3*i - 73, i = n - 26. Let h = i - -33. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - c + 4*c + 15 + c. What is the tens digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -108 - 48. What is the remainder when 27 is divided by ((-9)\/(-6))\/((-1)\/2) + j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 38 = -3*u, u + 3*m - 8 = -0*m. Suppose -u*w + 224 = -10*w. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 7*i**4\/4 - i**3\/6 - i**2\/2 + i. Let d be y(3). Suppose 6*t - t = d. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = -2*k, -4*k - 3*x - 65 + 44 = 0. Which is greater: 2\/55823 or k?\nAnswer: 2\/55823","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.392066 meters in micrometers?\nAnswer: 6392066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - 26 - (-232 + 219)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 347781b (base 12) in base 5?\nAnswer: 10042033303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/4 + 4631*i**2\/4 + 56004*i + 673776 = 0.\nAnswer: -24, 4679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (28 - 28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 15 = -3*n. Let z be ((-6)\/(-9))\/(2\/n). Suppose z*j = -j + 16. Solve -3*v = 5*p - 4, -2*v - j*p = -v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a factor of 176197814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-13)\/4)\/((-91)\/4368) and 72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 695?\nAnswer: -29\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/70 + (-23)\/10)\/((-2)\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/51 + 5\/34. Let k(t) be the third derivative of -t**2 + 0 + 0*t + 0*t**3 + 1\/30*t**5 + d*t**4. Find the second derivative of k(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -131. Let o = 101.0113 + c. Round o to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 42. Suppose -o + a = r - 0*o, 4*o + 16 = r. Let z be (-4)\/(-3)*12\/r. Which is greater: 11 or z?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 - 122993082*r\/5 - 1260608184988227\/5.\nAnswer: -3*(r + 20498847)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:32 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -19. Suppose 0 = z + 4*b - 14, -7 = -3*z - 3*b - 2*b. Let v be (-36)\/(-112) - (z\/(-8) - 1). What is the closest to 0.82 in v, s, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134, 253, 372, 491, 610?\n\"Answer: 119*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4060 + -4055. Let a be (-1 - -3) + 0\/1. Solve c + 3 = g, 5*g = -l*c + 7 - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 13. Let j be w(-5). Suppose 0 = 2*b - j, -4*y + 5*b + 15 = -2*y. Solve 3*k + 2*t = y, 3 = -5*k - 3*t + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7788 is divided by 796.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 8.1. Let r = -0.76 - b. Let o = r + 1.86. Which is bigger: o or 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = w + 66, 20 = 4*q + w - 42. Solve -q = -14*s + 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27700 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 8*j**2 + 5*j + 1. Calculate l(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -79.\nAnswer: 12\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -37. What is the common denominator of b and 2200\/48 - -4 - 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174465*a**3 + 174447*a**3 - 6*a**2 - 56*a**2 - 27*a**2.\nAnswer: -18*a**3 - 89*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3297, -31, -3, 11 in increasing order.\nAnswer: -3297, -31, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, a: 2}. What is prob of sequence aayy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - q + 170 + 134 = 5*q, 3*r + 5*q = r - 3*r + 120 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 2.01. Let j = 1.7 - z. Let m(d) = -d**2 + 6*d + 28. Let w be m(9). What is the second biggest value in w, 5, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6541223 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 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: Calculate -66 - (137 - (228 - 77)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/21 - 4*s**4\/21 + 4*s**2\/21 - 2*s\/21 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 - 153. Suppose -5*j = 2*v - 929, 5*v = i*j + 7*v - 744. What are the prime factors of j?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26551 (base 8) to base 14\nAnswer: -4345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-16) + -5 + (-30)\/(-8). Let r = n + 181. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*p + 50 = 0, -5*p = -309 + 329. Solve -56 - 39 = -f*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 17*w**2 + 33*w - 2. Let f = 18 - 14. Let v be f\/(4\/19) - 4. Is l(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8207\/728 + 144\/13. Let q = 1\/14 + k. Which is the closest to -11? (a) -2\/3 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 3*l**2\/2 - 7. Let k(u) = 4*u. Give o(k(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227.96 + -228. Which is the closest to h? (a) 0.5 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c. Let b be m(3). Let j(r) be the first derivative of r**2 - 8*r - 1. Let u be j(b). Which is smaller: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 14. Let y be i(6). Suppose -5*o = 4*v - 57, v = y + 1. Calculate the remainder when 16 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4638 - 4543. What is the greatest common factor of m and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 4 - -4) + -555 + 559 - 18.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/13359 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 0.118, -1, -2194?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 16 - 64 + 17)*(0*o + o - 3*o).\nAnswer: 78*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3 and 0.5.\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*i = 7, 4*v + 3*i - 3 = 20. Suppose v*w = 5*r - 8, 5*r = -5*w + 18 - 3. Factor 4\/5*x**r - 2\/5*x + 0 + 2\/5*x**5 - 4\/5*x**4 + 0*x**3.\nAnswer: 2*x*(x - 1)**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/89 (b) -4 (c) 0.01 (d) 4 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -4. Let g be (-1)\/m*(-4)\/11. Let h = 11 - 6. What is the smallest value in g, h, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 78*o - 72*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let g be 36\/15 + (-4)\/2. Let q be -6*((-138)\/(-12) + -11 - 2\/2). What is the second smallest value in q, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, h: 11}. What is prob of sequence nnnh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313312130 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2262?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7510*i - 5002*i + 17398*i - 4407*i + 29536*i.\nAnswer: 45035*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7510 rounded to the nearest one hundred?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 - 3*o**2 - 4*o**2 + (2 - 2 + 2*o)*(0*o - 5*o + 4*o) - 2*o**2 + 2*o**2 + o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35582703 divided by 3.\nAnswer: -11860901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -115 (c) 48203.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/(-20))\/((0 - 2)\/(-8)). Suppose 0 = o*c - 0*c - 6085. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f. Suppose 4*s + 5 - 21 = f. Let q be ((-3)\/12)\/((-2)\/8). Solve 5*a - q = s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 4*k + 2*s, -k + 91 - 12 = 3*s. Let o = -319\/4 + k. Which is the third biggest value? (a) -0.1 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-1)\/(-21) + 8\/(-24)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123106003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:28 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277144243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0, 270\/11, -9.834?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 103 = -p. Solve 4*z + 23 = p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*j = j + 1412, 1785 = 5*z - j. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)*0*((-190)\/30 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/2*(-44)\/176?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -45*m. Determine k(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1020022131 (base 4) to base 2\nAnswer: 1001000001010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {c: 1, p: 1, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*r**2\/3 + 61*r\/3 + 1.\nAnswer: (r + 3)*(20*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 4. Let f(v) = -v + 1. Let l = -33 - -28. Give l*f(i) + j(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*f + 1 - 6*f - 6*f)*((-1 - 2 + 5)*(-36*f**2 + 47 - 47) - f**2 + f**2 + 2*f**2) in the form q*f + t*f**3 + m*f**2 + y and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17514963 a multiple of 4527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65570 + -2?\nAnswer: -65572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 4. Let n(o) = -19*o + 18*o + 29 - 28. Calculate -2*n(f) - p(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:12 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*u - 2020968*j**2 - 3*j*u + 34571*u + 354 wrt j?\nAnswer: -4*j*u - 4041936*j - 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 2, r: 3, i: 1, d: 2, a: 4}. What is prob of sequence iaar?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*o - 59 = -u, -66 = -5*u + 4*o. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839.6377 days in hours?\nAnswer: 20151.3048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m**2 - 92*m - 152. Give q(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 900018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235937770 divided by 5.\nAnswer: 47187554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:55 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 41, 1 in ascending order.\nAnswer: -3, 1, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05 times 61.9?\nAnswer: 64.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33894.\nAnswer: 2, 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1308, 1324, 1366, 1446, 1576, 1768, 2034, 2386?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 v when four letters picked without replacement from wveeweemevfe?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*h**4 - h**2 + 423.\nAnswer: -600*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.26701ml in litres?\nAnswer: 0.01526701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -62*k**3 + 6*k**2 + 6*k - 23. Let q(d) = -186*d**3 + 17*d**2 + 17*d - 66. What is -17*h(y) + 6*q(y)?\nAnswer: -62*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852876657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, 76, -13, 224 in ascending order.\nAnswer: -13, 76, 224, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let y(j) = -100422684*j**2. Calculate y(g(n)).\nAnswer: -100422684*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 2. Let w(n) = n**3 - 5*n**2 + 2*n + 7. Let t be w(3). Let y(s) = -4*s + 3. What is t*r(k) + 3*y(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -33, 71\/3, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(360) + sqrt(360) + -1*sqrt(360)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/4 + 3*y**3 - 7*y**2\/2 - 8*y - 28. Calculate the remainder when q(7) is divided by 2\/6 + (-64)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/324972 and 97\/3084?\nAnswer: 83517804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from umueuuem.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -6*s + 638. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/357 and 12\/203?\nAnswer: 10353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 4*g + 6. Give c(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*t**3 + 107*t**3 + 2*t**2 - 50*t**3 - 2*t + 5 - 4*t**4 to the form q*t**4 + n*t + k*t**2 + b + j*t**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6011\/414 + 4\/207. Suppose -265 = -4*x + 3*b, -5*x + 0*b = -b - 323. Find the common denominator of v and (-18)\/x + (-14)\/(-35).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 - -318. Let k be (5 - 1) + (o - -34). Calculate the greatest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 3, j: 7, u: 1, i: 1}. What is prob of sequence ifu?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 19657631420014?\nAnswer: -19657631420013.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -4*n + 7*n. Let s = n + -38. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 22514 - 14190 = 0. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3\/3 + 370*u**2 + 1515*u - 5650\/3 = 0.\nAnswer: -5, 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*d - 4*n, 0 = 6*d - d - 2*n - 113. Let v = d + -19. Solve -2*a - v = -a + 3*z, -4*a = 4*z + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13582 smaller than -13572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3 - 18. Let w(o) = 2*o + 11. Let b be w(-9). Let h = 0 - b. What is the remainder when h is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 43831495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:52 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.317327 grams?\nAnswer: 317327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*g**3 - 72*g**3 + 67*g**3.\nAnswer: 137*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1100, 1876, 2614, 3296, 3904, 4420, 4826?\n\"Answer: -3*k**3 - k**2 + 800*k + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.3, -9\/34, 0, -5?\nAnswer: -9\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*l = -30, -494*f + 495*f - 4*l + 24 = 0. Is f bigger than -30\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 16*l - 20*l. What is the greatest common factor of 22 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2174, 4349, 6524?\n\"Answer: 2175*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 4*l**2 + 5*l + 5. Calculate r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 35*s**2 - 1. Let a be t(-35). Calculate the remainder when ((-30)\/(-12) + a)\/(3\/62) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24107 - 27741 - 38113 = 2120*w - 13641 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -0.4, -0.01, 4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4138952 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000724354 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 4. Let s be y(4). Let u = -1 - s. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 2:07 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257475534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 + -0.5. Let g = 2.06 + h. Suppose 8 = -0*p - 2*p. What is the closest to -1\/4 in p, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9859151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10759712.\nAnswer: 2, 41, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1246 + 2869. What are the prime factors of m?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 1a0?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 79. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.2 (b) -2.1 (c) -106 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.2. Let s = -0.3218 - -0.4218. What is the closest to s in -3, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*d = -5885, 5*k = 2*d + 1378 + 5987. What are the prime factors of k?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (0 + 3 + -24). Suppose 6*c + 2 - s = 0. Suppose 6*p = c*p + 126. What is the greatest common divisor of 28 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z + 86*z**3 + 8*z**3 - 2 + 5*z**4 + 366*z**2 + 3*z**3 + 2 wrt z?\nAnswer: 120*z + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -5, 0.2, -42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3407\/5 + -685. Suppose -2*f - 163*f = 495. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637124755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2044, 2\/13, 0, -1\/3, 590?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -84, -149, -238, -357, -512, -709?\n\"Answer: -m**3 - 3*m**2 - 31*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7360851 divided by 320037.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + (0 + sqrt(7))*2.\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 934, 2, -1, 5, -7 in decreasing order.\nAnswer: 934, 5, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 2*g**2 - 4*g - 1. Let n be r(-1). Suppose 4*x + 2*b - 3590 = 0, n*b = 5*x - 2*b - 4510. What are the prime factors of x?\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 624, 657, 690, 723?\n\"Answer: 33*v + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -0.4763215.\nAnswer: -6.5236785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 217111.8898 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 9:15 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(5\/(30\/9)). Suppose -a*g - 22 = -m, -2*g + 53 = 2*m + 3*g. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211120112 (base 3) to base 13.\nAnswer: 135b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 648650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*g + 5 = 0, -5*w - 5*g + 30 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-1))**(-39)*(u**(-1\/2))**(-8\/11) assuming u is positive.\nAnswer: u**(-1283\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d - 9 = 0. Let k = 152 - 152.63. Let u = k - -0.83. Which is the third biggest value? (a) -14 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48.17398575502 - 0.9\nAnswer: -49.07398575502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -8. Suppose 5*l = f*l - 8. Let v be -2 + 5 - (l + 0). Solve -v = -3*x + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061814 rounded to five dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 237. Suppose -k = -4*b + 3*q + 434, 0 = 3*b - 3*q - 504. What is the highest common factor of 120 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5 + 6 + (0 - 1 - 5)*(3 + 0 - 4))*(6*f**4 - f**4 - 20*f**4) as l*f**3 + p*f + j*f**2 + d + r*f**4 and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 + l + 8. Let s be y(-6). Suppose 39 = -s*i + 39. Suppose i = 5*q - 10*q - 4600000. Round q to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)\/q*q**(-5\/7)\/q)\/((q*q*q*q**2)\/(q\/q**6)) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 20, -35 in decreasing order.\nAnswer: 20, -1\/4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329901 or -329907?\nAnswer: -329907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/865, 1\/2, -3, -1, 4 in descending order.\nAnswer: 4, 1\/2, 2\/865, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-81)\/1))\/((-1)\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {y: 1, b: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = s + 29. Suppose 0 = 4*u - 8 + s. Let o be 6\/4*(-16)\/276. Sort o, u, -4, 1 in increasing order.\nAnswer: -4, u, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 3. Let c(w) = w**2 - 2. Let j(u) = 8*c(u) - 5*x(u). Let a be j(1). Calculate the least common multiple of 2 - 0 - a\/3 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -557567 - 4?\nAnswer: -557573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpd when three letters picked without replacement from {e: 2, z: 1, p: 1, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23194, 23196, 23198?\nAnswer: 23200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - p - 28 = -5*p, -4*a + 4*p = -20 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g**(-2)))\/g**(2\/25))**39 assuming g is positive.\nAnswer: g**(897\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 365993 + 0*i - 366010. Let q be (4\/(-18) + 6\/27)\/1. Give g(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**3 - 13*c**2 - 22*c - 4. Let h be a(-8). Suppose 4*y - 5*j + j + h = 0, -j - 483 = y. Is -478 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 3. Determine l(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j**2 + j + 25*j**2 + 5*j**2 - j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/53? (a) 2 (b) 0.2 (c) 5\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.3726 + -12.3726. Let o(u) = -u**3 - 4*u**2 + 7*u + 2. Let w be o(-5). Which is the closest to -0.1? (a) -4 (b) 3\/4 (c) x (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242906 + -728719\/3. Let j = -11 - -7. Let k = 46 - 66. Which is the nearest to k? (a) q (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = i. Let r = 9 - 6. Suppose -3*j + 17 = r*g - 10, -4*g + 8 = i*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7552, -5, -88 in descending order.\nAnswer: 7552, -2, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1414087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23174 + 78907 = -1307*t - 18000 + 29898 for t.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Let f = -37618 - -37620. What is the nearest to f in a, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 19721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 3, d: 6, l: 3, m: 3}. What is prob of picking 1 m and 1 d?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1667720070 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-30)*3)\/(18*(-9)\/36).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1036 divided by -4.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 2 u when four letters picked without replacement from {i: 1, w: 2, u: 5, o: 1}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 108, 1\/6, 5, -0.011, 4, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 856, 1709, 2562, 3415?\n\"Answer: 853*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40238 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**(-12)*p*p**14*((p*p**(-4))\/p)\/p*p assuming p is positive.\nAnswer: p**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/6 + 3*c**2\/2 - 646*c. Calculate d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 620\/(-35) + (-4)\/14. Let q be (-1)\/4 + i\/(-8). List the prime factors of -4*(3\/3 - q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 - 91 = 42*v - 4*j, -j - 3*j - 8 = 2*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*h**2*o + 11*h**2 + 8679*h*o**2 - 4213 wrt o.\nAnswer: 11*h**2 + 17358*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/335, -5, 1, 62, 2 in decreasing order.\nAnswer: 62, 2, 1, -2\/335, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - q - 8 = -0*y, -12 = y + 3*q. Let c be 0 - y - (-2438202)\/26. Let b = c + -15774. Round b to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.29 - 6.29281. Round y to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, 42, 16, -20, -66?\n\"Answer: -5*w**2 - w + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = 4*d + 1, 35 = -5*b - 5*d. Let v(s) = -3*s**3 - 10*s**2 - 19*s - 2. Calculate the remainder when 548 is divided by v(b).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z = -32*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l + 6. Let g(f) = 182*f + 77. Determine 6*g(o) - 77*y(o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 - -937. List the prime factors of q.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 503.\nAnswer: 503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550894?\nAnswer: 2, 275447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*y - 27206 + 26400 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16 - -0.26. Let d = b + -7.3. Let p = d + 7. Put -5, 0.4, p in descending order.\nAnswer: 0.4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493613431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 14695\/6, -5, -143?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -8 + (-2 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060005952 rounded to seven dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 5, -3\/10, -6, 2, 9 in descending order.\nAnswer: 9, 5, 2, -3\/10, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -30*z + 38*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3 in decreasing order.\nAnswer: 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwyjwjdwzzdjewwwwwwy. Give prob of picking 2 d.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 839420 and 3715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 1147?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 11 = -13. Suppose 0 = -j - g*h + 92, -5*h + h = 4*j - 356. Find the second derivative of j*l**2 + l**4 - 5*l - 43*l**2 - 45*l**2 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.03 (b) -1\/4 (c) -0.2 (d) -2 (e) 801\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3511358 and 446.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 37 (b) -17\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 237 = s, -g + s + s - 61 = 0. Let j = 61 + g. Find the third derivative of -2*t**3 + t**j + 0*t**3 - 3*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -715*(-1)\/(14\/(-8) + 3). Suppose -24*u = -37*u + i. Suppose 0 = d + 2*d - 45. What is the remainder when u is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/8, -3\/2, -2.\nAnswer: -2, -3\/2, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3643374 and 3122892.\nAnswer: 21860244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) + (3 - 8). Let f = 1084 + -1089. Do g and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -13*o - 4*w + 33, -4*w + 13 = -o. Suppose 4 = 2*c + 6. Let h be -1 + (-2)\/c + -3. Put -3, o, h in increasing order.\nAnswer: o, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 17*x**2 + 11*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30111031 (base 6) in base 5?\nAnswer: 204132430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*t + 5042 = 418 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 2*h**2 - 3*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1 - (-15)\/(-5)). Suppose 5*h + 10 = 7*g - 2*g, -9 = -k*g + 5*h. What is the remainder when 3 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (0 - -3) - -3. Let f(c) = -206*c**3 + c**2 + c + 4. Is f(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 158*f - 9845. Determine h(-41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b4 + 37?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -5*n**3\/3 - n**2 + 4. Find the second derivative of t(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 20, 34, 52?\n\"Answer: 2*j**2 + 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 214446 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: Suppose -10*k = 53 - 83. Solve 2*n + 8 = a, -8 = -k*a + 11*n - 9*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3002 - 2994. Solve a = 28*z - 26*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 531162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 465 + -462. Solve y*l = 4*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000225906 rounded to six decimal places?\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -379682189 from 0.06.\nAnswer: 379682189.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((-9)\/24)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.023, -1, -5, -0.5, -1.34 in decreasing order.\nAnswer: -0.023, -0.5, -1, -1.34, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35c77 (base 14) to base 7\nAnswer: 1055110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2119\/5 - -424. What is the nearest to -2 in h, 3, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 5*p**2 - 2*p**2 + 2*p - 27*p**2.\nAnswer: -35*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.01, 8\/3, 49 in descending order.\nAnswer: 49, 8\/3, 0, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87792.08 + -1133.92. Let p = r + 88925.60041. Let b = 0.4 + p. What is b rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 3, y: 2, o: 5}. Give prob of picking 1 y, 1 k, and 1 e.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 12218?\nAnswer: 3909760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -22, -19, -16?\n\"Answer: 3*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 + -10e?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6106615.\nAnswer: 5, 23, 53101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 56. Suppose 0 = 2*u - 3*r - 87, u = -0*u + 4*r + 51. What is the remainder when u is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(56\/(-80)) - 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z - 742 = -67. Let t be 45 - (-1 - -1)\/3. Suppose -5*q + 123 = -4*s, -q - 6 + t = 4*s. What is the remainder when q is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 78*t + 0 + 7\/18*t**3 + 2\/3*t**2 - 2\/15*t**5 + 1\/126*t**7 - 1\/45*t**6 - 1\/18*t**4. Factor h(a).\nAnswer: (a - 4)*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267882 is divided by 805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 - 6.4. Which is the closest to 1\/8? (a) -0.4 (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 + 453*t + 119. Determine h(76).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8119.36 * 0.203.\nAnswer: -1648.23008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-76))\/((-33)\/(-44)). Put u, 0.08, -5 in ascending order.\nAnswer: -5, u, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -2854, -6426, -11428?\nAnswer: -17860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277704332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 0.3, -1\/20, -2, -5\/4, 206?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(18)\/sqrt(144)))\/(sqrt(33)\/(sqrt(704)*-1)).\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 1 + 1)*(4 + 1 - 4) + 0*z - 2*z - 2*z + (-z + 5*z - 2*z)*(2 - 5 + 1) - 2 - z + 2 - 5*z + 3*z + 0*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261 divided by 2035.\nAnswer: -261\/2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2504.005 - -2504. Which is the third smallest value? (a) q (b) 3.3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46061485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:36 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 34. Calculate the remainder when 98 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 188\/141*(-15)\/4 + 18905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 125052797 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78\/11? (a) -1\/5 (b) -3\/13 (c) -2 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 8:04 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-2)\/20)\/(6\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6898\/3 + -2300. Sort 28\/3, t, -4, 0.4, 2\/3.\nAnswer: -4, t, 0.4, 2\/3, 28\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(1900)*2 + (sqrt(1900) - (2 + (sqrt(1900) - (-2 + sqrt(1900))) - sqrt(1900) - sqrt(1900))))**2.\nAnswer: -3600*sqrt(19) + 190324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 2 - 2*i**2 - 3*i - 1 as m*i + v*i**2 + k and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-17 + 5 - -1) + 18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 611, 1195, 2013?\nAnswer: 3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 2*t**2 - 50 - 15*t**2 + 17.\nAnswer: -17*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104239 is divided by 4342?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(6)\/sqrt(3) + (sqrt(288) + -2 - sqrt(288)) - (-2*sqrt(3168))\/(-2*sqrt(1331)).\nAnswer: -56*sqrt(2)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i + 3*i. Let a(k) = 22*k + 117. Let q(m) = -5*m - 29. Let p(j) = i*a(j) - 9*q(j). Let w be p(6). Calculate the greatest common factor of 44 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 1 + 5*z - 15\/2*z**2 + 1\/6*z**3. Determine h(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87150 and 24402?\nAnswer: 610050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 + 7*z**3 - 4 - 1 + 3 - 146*z**2.\nAnswer: -5*z**3 - 146*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20528961?\nAnswer: 3, 431, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11581.9653 to the nearest ten.\nAnswer: -11580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 8*x - 11. Let d = -197 + 273. Suppose -9*h - d = -4. Determine f(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414847172 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16166711 and 2227?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70858 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m + 104. Calculate f(15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/2184)\/((-8)\/(-14))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f - 4*f)*(-5156*f**4 + 10321*f**4 - 5163*f**4 + 1260*f**2 + f**3).\nAnswer: -2*f**5 - f**4 - 1260*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/120 - z**5\/12 + z**4\/4 + z**3\/6 - 4*z**2. Let p be y(5). Let i = p + -15. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2521665 (base 9) to base 3.\nAnswer: -2120201202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 7. Let a(b) = 1. Calculate 5*a(v) - g(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15 = 0, 3*y + 3*o + 2*o + 28 = 0. Let j(p) = 5*p**2. Let s be j(y). Suppose 68 = s*h - 322. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -40 + -5 + 6 + -8 + 2 + -5?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -0.6, -20?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)\/sqrt(3))**2 - (sqrt(2) + (sqrt(2) - (sqrt(20)\/(sqrt(10) - 2*sqrt(10)) - sqrt(2)))).\nAnswer: -4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 136, 266, 400, 538, 680, 826, 976?\n\"Answer: 2*y**2 + 124*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1048*b + 1048*b + 37*b**2)*(-8*b**2 + 8*b**2 - 5*b**3)*(1 + 2 + 3 + (-1 + 5 - 2)*(-3 + 2 + 3)).\nAnswer: -1850*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:47 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16*((-18)\/15)\/((-328)\/(-410))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 770525*n + 6164217. Determine p(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(143) + -4*-2*sqrt(143))\/(sqrt(1584) + (sqrt(1584)*2 + sqrt(1584) + sqrt(1584))*6 + sqrt(1584)).\nAnswer: sqrt(13)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256) - -5*(sqrt(256) + sqrt(256) + -1*sqrt(256)))\/(sqrt(8) - (sqrt(8) - sqrt(512)))*-1 + 5)**2.\nAnswer: -30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -9*p - 7. Suppose -p*m = -12*m - 4, 5*a - 2*m = 14. Suppose -20 = -4*s - 2*v, -3*s + v = s - 26. What is the highest common factor of a and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2181623517297?\nAnswer: -2181623517301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3 + 1 - -3) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 times -0.0896?\nAnswer: -7.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 40012343 (base 5) to base 15\nAnswer: 62d33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2009321*j - 453241 wrt j.\nAnswer: -2009321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95242 and -412.\nAnswer: -39239704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628171 is divided by 3610.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*p + 2, -1564*p - 2 + 16 = -2*o - 1563*p for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4522583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*s - 358 + 358)*(0 + 1 + 0).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490 is divided by 302.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*g = 648 - 634, 21 = -3*t - 3*g for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (sqrt(242) - (sqrt(242) + 1*sqrt(242))))**2*2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 11*k**2 + 13*k - 10. Let q be v(12). Suppose 3 = q*l + 5*y - 2*y, 0 = 4*y - 12. Which is smaller: -5 or l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*x = 39, 5*h - 2*x - 15 = 95. Let f(s) = 28*s + 96. Let p be f(6). Calculate the greatest common factor of p and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetteetettttttet. Give prob of picking 2 t.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 66?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 3. Which is the nearest to 0.5? (a) 2\/19 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31349 <= -31278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a + 5. Let i(r) = 5*r + 3. Let v = -3 + 8. Let x(h) = v*i(h) - 3*j(h). Let z(p) = -2*p - 2*p + 3*p. Determine x(z(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a - 63. Let b be g(-13). Let l = b - 89. Solve 20 = -4*h + 3*x, -l = -2*x + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 0.3 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4598 divided by 17905\nAnswer: -4598\/17905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - c + 64. What is the tens digit of j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 3*p**2 + 5*p**3 - 3*p**2 - 5*p - 7*p**3. Let s(f) be the third derivative of f**5\/30 + f**2. Calculate s(d(i)).\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479538083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 12*w**2 + 10*w + 12. Let c(l) = -l**3 - 8*l**2 + 7*l - 7. Let g be c(-9). Let n be v(g). What is the highest common divisor of 3 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (158 + 239 + 1301 - 197)*(-2*p - p + 4*p) to x*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3567.618072 + 3690.0729. Let g = -122.135 + s. Let c = -0.32 + g. What is c rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.2 + -120.8. Let r = x + 152.0000069. What is r rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v**2 + 1088870*v + 44*v**2 - 1088870*v.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 1, w: 1}. Give prob of picking 1 e and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 - 2*f + f + 2. Let v(j) = -2*j**2 - 2*j + 2. Let z(n) = 2*t(n) - v(n). Let y(i) = 6 - 4*i**2 - 10 + 4. Calculate z(y(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29065886690626 minus -3?\nAnswer: -29065886690623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) 3 (b) -0.1 (c) -71 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 242084.727078514?\nAnswer: 242084.627078514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25200 = 1983*p - 1353*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9969 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45030 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c)**(-12)\/(c\/(((c**(-1\/3)*c)\/c)\/c))**33*(c\/((c*c\/((c*c*c*c*c**6*c)\/c)*c)\/c*c)*c*c\/c**2)\/((c\/c**(-2\/5)*c)\/c**(-5)) assuming c is positive.\nAnswer: c**(-3214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1376\/516*1\/(28*-1)*6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 6. Let c(f) = 1. Suppose -83 = -5*o - 2*u, 2 = -u + 6. Let p be o\/(-5) - 1\/1. Give p*c(n) - t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38, -2, 0.3, 1.1, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*v + 10, -13*t + 9*t - 4 = v. Sort 2604, 4, t in increasing order.\nAnswer: t, 4, 2604","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 1 - (1 + -4))\/1. Suppose -n - 24 = 4*f, f + u*n + 4 = -2. Let g be -3*f\/(-99) - 268\/(-22). Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13776 or 13777?\nAnswer: 13777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 3\/(-3 + (-4401)\/(-1468)). Let c = -972 - o. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 93 - 1\/((-6)\/30). Let u = -99 + k. Let d = u - -124. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 32718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(((-70)\/(-7))\/(-20))\/(-5)*-20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.63184 - 0.21364. What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*k - 159 = 285, -2*k - 444 = -3*m. Suppose 0 = 4*h + c - m, 5*h + 0*h = c + 185. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 54 = -6. Let x = -3 - -18. Suppose -x*y = -12*y - f. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfmcgffffxfcxgfggxf. Give prob of sequence ggm.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/83106 and -73\/5157?\nAnswer: 15873246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1)\/((-2)\/3). What is the fourth biggest value in 1, -7, 4, z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2126*a - 25504. What is q(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f - f + 4*f)*(2 - 7 + 3) + 0 + f + 0 - 3*f - f - 6*f - 9 - 12 + 22 + 5*f to m + d*f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - h + 2. Let f be g(2). Let s = 39 + f. Suppose -s = -3*d - 9. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.83387 micrograms to tonnes.\nAnswer: 0.00000000007483387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p**2 - p + 4. Let i be z(-4). Let n(m) = 42*m + 954. Let h be n(-25). Let g = h + i. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:36 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9369*z**2 - 18584*z**2 + 9308*z**2.\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -b + 35. Suppose -b*k = n - 24, k + 2*n = 3*n + 6. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/460170 and -10\/15339.\nAnswer: 460170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 5252. What is the derivative of 1313*b - r*b - 22*b**2 + 88 wrt b?\nAnswer: -44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2918, 6019, 9132, 12263, 15418, 18603?\n\"Answer: c**3 + 3094*c - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 11de7?\nAnswer: 11e0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4 (c) 1\/12 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/12)\/((-2)\/9148). Let j = -1118 - r. What is the common denominator of -37\/2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 267\/(-9) - 2. Let x = 82\/3 - c. Let d = 0.248 - 0.048. Sort x, 0.08, d.\nAnswer: 0.08, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1836 and 25\/36?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*4\/((-24)\/(-93)). What is the tens digit of 2\/3 + b\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-9))\/(4\/24). Solve s*t - 18 = -3*b, 7*t - 3*t - 4 = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/448*12)\/((-29)\/5104)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 147*o**2 - 160*o - 213. Is a(-65) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -41*w**3 + 6*w**2 - 3*w - 11. Suppose 0 = 7*g + 46 + 10. Let v be l(g). Suppose -4*i - v - 13811 = 0. Round i to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2810.07 millilitres to litres.\nAnswer: 2.81007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 3. Let h(z) = z. Give -2*h(r) + i(r).\nAnswer: -5*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let t be m(-5). Let h be ((-8)\/t)\/(7\/(-5)). Let k be (-2 + (-35)\/(-15))*3. Are k and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-1 - -6) - 1. Suppose 3*k + 6 = 0, -g*k - 10 = -3*x - k. Suppose -s = -x - 2. Solve 0 = u - 4*c - 14, s = -2*u - c - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 6)*(-1)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = k - 7 + 2, 0 = 4*j. Solve -d = -k*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + 4. Suppose -4*g = -9 + 1. Suppose -g*w + 3*y = 4*y - 24, 0 = -3*w + 5*y + 49. What is the greatest common factor of w and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1460151066 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -518 + 527. Solve -3*a = z, c + 4*a - 3 = -18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23231 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -746 + 971. Suppose -255 - p = -3*a. What is the remainder when a is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1022, -1510, -2838, -5426, -9694, -16062?\nAnswer: -24950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = -y + 2184, -2*d = 4*y - 8718. Does 33 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c**3 + 36684*c**2 + 177892*c + 216832 = 0 for c.\nAnswer: -448, -22\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 13371837*k**2. Let j(s) = -11*s**2. Calculate j(w(u)).\nAnswer: -1966866272300259*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 34 = 3*n - 8, -9*l + 2*n = -64 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15537653 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34219675 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23097 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-228298)\/(-21)*9\/20 + 6. Let q = u + -4905. Calculate the common denominator of -41\/195 and q.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 21639*l**2. Let d(x) = 531*x. Give r(d(t)).\nAnswer: 6101354079*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/4)*k\/k**9*k*(k\/k**(-12))\/k**(-1\/6))**47 assuming k is positive.\nAnswer: k**(4183\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, 1872 in descending order.\nAnswer: 1872, 25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1657832795?\nAnswer: 5, 1451, 228509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y**3 + 5*y**3 + 51722*y + 51731*y - 103453*y.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 29 = -6*d - 4*l, -d + l + 39 = 0. Let i(w) = -7*w + 1. Let o(q) = -q - 13. Let r be o(-12). What is the remainder when d is divided by i(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(12)*5.\nAnswer: 1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 18*h + 10*h**2 + 10*h**2 - 16*h**2 - 1 + 19*h**2. List the prime factors of s(-22).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 49. Let n = -1678\/13 - -129. Which is the third smallest value? (a) -0.2 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u)*(u - 3 + 3) - 32*u**2 + 55*u**2 - 20*u**2 - 18*u.\nAnswer: 5*u**2 - 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 293*q**4\/4 + 515*q. Let k(y) = 7*y. Give w(k(f)).\nAnswer: 43071*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 78832*r**2 + 87*r**3 + 157643*r**2 - 78811*r**2.\nAnswer: 87*r**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (125 - -1) + 3\/1. Suppose -m*l = -133*l + 32524. Let o = l - 3792. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(78) + 3*sqrt(78))*3)\/sqrt(6))**2 + 0.\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.48 + 6.48. What is the third biggest value in r, 6\/7, -0.4, 22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3. Is r(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93070, -93068, -93066, -93064, -93062, -93060?\n\"Answer: 2*o - 93072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -104*c**2 + 1. Let m be s(1). Let r = m - -120. Calculate the remainder when r is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*b = -3, -5*t - 2*b = 15 - 3. Let c = t - -3. Is 10 a factor of (-145)\/(-15) - c\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.4, 19277, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**8\/224 + t**7\/35 - 3*t**6\/40 + t**5\/10 - t**4\/16 - t**2. Factor v(l).\nAnswer: -3*l*(l - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 - 230. Are f and -43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * 13.2.\nAnswer: 2.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*f + 67 = 0, f = -3*f - 16. Suppose -2*t - 10 = 0, 3*i - 2071 + w = 2*t. What are the prime factors of i?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 111?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-2)*48\/14. Suppose -5*a - p = -4*z, -z - 3 = -2*z + 4*a. Let l = -10 - -13. Solve -2*n = -l*n - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*w + 37 = 0, -40*w = v - 38*w - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, t: 5}. Give prob of picking 1 q and 3 t.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2870598706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4218*i - 4238*i + 8655*i in the form h + j*i and give j.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 578713082 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 69\/(-189) + (-16)\/(-72)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 8*t**2 + 11*t - 12. Let r = -44 + 53. What is d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:01 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 2*l**3\/3 - 3*l**2 + 18*l - 23. Let h(b) = 2. Let v(d) = -14*h(d) + 2*k(d). Suppose v(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71950 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 greatest common divisor of 72 and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:35 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2 = -8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 3*r = 0, 7*t - r = 7*t + 2*t - 0*r + r + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 16. Let c = -173 - -182. Calculate the smallest common multiple of c and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 + 955849?\nAnswer: 955718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 11) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 4. Let u = j + -15.8. Let g = u + -0.2. What is the third biggest value in -0.2, 5, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 308, 305, 302, 299?\n\"Answer: -3*m + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3\/2 - 51*u**2 - 867*u\/2 = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 5 = -m. Let f(h) = 12453*h**2 + 12460*h**2 - 24919*h**2. Let u(v) = -17*v**2. Give m*f(n) + 4*u(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -4 - (3628 - 3725).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20425*z = -20494*z + 759 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 107\/(-35) - 24\/(-8). Let r = -1 + 1. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 4. Let d = -64 - -66. Let g(j) = j - 1. Calculate d*g(h) - o(h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 22 = -6. Suppose 4*p + 2 = -c, v*p - c - c = 4. Solve 5*r - r + 20 = p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 0.5 (b) -7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.9 and 0.02.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/18724108 - 23302153075\/12526428252. Let r = 6\/223 + f. Which is greater: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11487988.\nAnswer: 2, 17, 241, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10441944 divided by 3876\nAnswer: -2694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 55044 = 2*m + 2*m. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56156 is divided by 28046.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 181734277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 3 - 16 + 5 + 3. Let x(h) = 1. What is -f(s) - 5*x(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let p = -28 - -27. Let h(u) = -2*u**2 - 10. Determine p*h(y) - 6*q(y).\nAnswer: 2*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -10 (c) -0.03 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 121123?\nAnswer: 121123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -20*x + 12. Let w(z) = z - 6. Let o(h) = 2. Let v(u) = -6*o(u) - 2*w(u). Calculate a(v(t)).\nAnswer: 40*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.96 + -0.04. Which is the closest to 0.6? (a) t (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7)*4 - (-4)\/14. Let s = 4 - 3. What is the closest to s in -0.3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31, -1223, 3, -4, -5.\nAnswer: -1223, -31, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916873009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459507323 to the nearest integer?\nAnswer: 21436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.31*3.\nAnswer: -63.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1407.30757 to the nearest ten.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 7 = -o + o - b + 2, 0 = -5*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**34)))\/(j**6*j)*(j*j*(j**(-2)\/j)\/j)**(-2\/25) assuming j is positive.\nAnswer: j**(-996\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*3\/(-6)*3. Let b = 1 - j. Let t be (-2)\/(-4)*-2 + 5. Calculate the highest common factor of b and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-23)\/g)\/g**20)\/(g**(-3)*g**(-1)\/g*g))**(2\/57) assuming g is positive.\nAnswer: g**(-80\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**3 + u**2 + u + 1. Let n be f(-1). Let r = 2 - n. Let i be 33\/9 + (-4)\/6. What is the greatest common factor of r and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1052*f + 396. Let n(p) = 3153*p + 1182. Let h(v) = 6*n(v) - 21*q(v). Find the first derivative of h(r) wrt r.\nAnswer: -3174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -50. Let q be (35 + 1)\/(45\/h). Let t = q + 28. Solve -3*r = -r + t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**4 + 0*k**6 + 6 - 101\/6*k**3 + 0*k**2 + 0*k**5 + 71\/21*k**7 - 4*k. Find the second derivative of t(f) wrt f.\nAnswer: 2840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a + 2*a**4 + 16 + 3*a**4 + 32 - 9*a**3 - 49 + 0*a**4 as c*a**2 + d*a**4 + i + f*a**3 + r*a and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 2 - 3*n**2 - 3*n - 2*n. Let j be c(-4). Suppose 93 = 5*b - j*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/7 + 2 - (-5184000)\/(-94500)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 1, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1.56, -4\/21?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -1\/2*f**2 + 8 + 11*f. Determine p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*t**2 - 1700*t**2 + 852*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 108780246.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u + 4*d - 165, -2*u - d = -105. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 27*v. Calculate b(-7).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 17.4, -4, 5, 0.13 in increasing order.\nAnswer: -4, 0.13, 0.3, 5, 17.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51\/4 - -61\/4. Find the common denominator of -8 + 6 + 411\/36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2830234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94169547 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -65*a - 379. Let l be j(-7). What is the highest common factor of 684 and l?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 10049465\nAnswer: -10049468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.291109 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002793 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 61\/(-7) - (-26)\/(-91). Let w be (y\/54)\/((-1)\/(-2)). Which is the nearest to w? (a) 2 (b) -5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-435)\/725)\/(-7*1\/(-5))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggzyhzzhghmgz. What is prob of sequence gg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -628.1?\nAnswer: -628.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 399811\/3 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdddqcd. What is prob of sequence dcc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9986*v**3 + 25*v**2 + 9*v - 754. Let f(t) = 1665*t**3 + 4*t**2 + t - 126. Let w(i) = 13*f(i) - 2*u(i). What is the third derivative of w(q) wrt q?\nAnswer: 10038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1)*((-384)\/(-8) - 32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52 - (3\/(-1) - -4 - -2). Suppose n + v = 8*n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278726345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 491 + -147. Suppose -350*z + 2862 = -l*z. What is z rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124821 - 15*z + 249642 - 124821.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -146112.13 rounded to the nearest one hundred?\nAnswer: -146100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 6. Let u be q(4). Suppose -u = 2*h - 4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g**2 - g**2)*(-4 - 8 + 3)*(-277*g + 0 + 333*g + 0).\nAnswer: -504*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971031.2mm to centimeters.\nAnswer: 97103.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 69*j - 70*j. What is the lowest common multiple of 4 and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10 - (65 + -83).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20 + 4161\/(-209))\/((-2)\/(-22)). Solve 371*w = 370*w - 4*d + 7, -w - d = -u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 13. Let d(p) = 14*p + 39. Let r(f) = -f**2 + 8*f - 1. Let x be r(7). Let s(t) = x*d(t) + 17*g(t). Calculate s(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205.7*-0.064\nAnswer: -13.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/82 in -68, -1\/5, 86?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5753208 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2*t**4 + 2\/5*t - 18\/5*t**3 + 6\/5*t**2 = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -73*r**2\/2 + 10*r - 57. Is i(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + p + 10 = 0, t = 4*p - 10. Calculate the smallest common multiple of 5\/t + 90\/4 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216 + -189. What is the highest common factor of b and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80*j**3 - 2*j**2 - 85?\nAnswer: 240*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times 7.02\nAnswer: 9.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)\/(2\/(-8)). Suppose -5*r = -7*r + z. Does 4 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/9451 (b) -0.05 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9) + 440\/(-33))\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 + r**3\/2 + 3*r**2 - 40*r. What is p(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 + 5*d - 6. Let j be v(7). Let x be (-17)\/(-5) - j\/(-50). Suppose -8 - 49 = -x*m. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6995*p + 47175*p + 4687*p.\nAnswer: 44867*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 - 2*q**3 + 4*q**3)*(1 + 3 - 2)*(0 + 3 - 4) - 4*q**3 + 2*q**3 + 0*q**3 + (-q**2 - 3 + 3)*(-2*q + 169*q + 154*q).\nAnswer: -319*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9878073ns in milliseconds?\nAnswer: 0.0000009878073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645, 718, 897, 1236, 1789, 2610, 3753, 5272?\nAnswer: 7221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 24. Let r be u(-8). Suppose -2*w - 1 + 11 = r, 11838 = 3*t + 3*w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595904.\nAnswer: 2, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30618 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/10*-4 + 6\/(-30). Factor 363 + 42*h - 9*h**2 + 19*h**2 + 24*h - v*h**2.\nAnswer: 3*(h + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/39, -8, 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/7))\/(k*k**(-5))*(k*k*k\/k**3)\/(k*k\/(k**(-3\/4)\/k)))\/(k**(2\/7)\/(k\/(k**(-1\/2)\/k)))**7 assuming k is positive.\nAnswer: k**(477\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1 + 0)**2 + sqrt(99).\nAnswer: 3*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2\/4 + 2067395*q\/2 - 854824417205\/4.\nAnswer: -5*(q - 413479)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49485468 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 28*n**2 - 14*n**2 - 6 - 9*n**2 - 10*n**2.\nAnswer: -9*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:41 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 25*p**2 - 33*p - 7. Let g be x(-22). Is (g\/(-5))\/((-29)\/(-145)) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -6, 6, 61.\nAnswer: -6, -4, 6, 12, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*c*t**3 - c*t + 48*t**3 + 2*t**2 + 1671*t wrt t?\nAnswer: 66*c*t + 288*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975833 is divided by 34817.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a (base 14) in base 8?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9445 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 15*i**2 - 27*i + 15. Let a be l(13). What is the units digit of a - (-4)\/(8\/(-2)) - -81?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 4:53 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -15*g - 4*g - 114, 30*m + 0*g - g - 27 = -21 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194 - -1583. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4372, -17666, -40084, -71836, -113132, -164182, -225196?\n\"Answer: -35*c**3 - 4352*c**2 + 7*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106 - -159) + -27 + 100?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 18791*m - 19324*m + 1)*(0 - 3 + 4)*(2 + 3 + 2)*(0*m + 4*m - 2*m).\nAnswer: -7462*m**2 + 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3044076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2, j: 4}. What is prob of sequence qj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1722 - 1289\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s + 5. Let m(p) = -17*p + 1. Calculate the remainder when m(s) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + -19 + (-39232)\/3)*1200. What is m rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let h(t) = 1 - 1 + 3*t**2 + 5*t**2. Give h(p(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7364\/112 + 6\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1650047 and 749.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.86 + -1.14. Let h = 12 + p. Let g be 2*(7\/6 + -1). Which is the closest to h? (a) 0.3 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*-2)*-3 + sqrt(152))\/(sqrt(72) + sqrt(72)*1 - sqrt(72)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1829132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 612596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 0*r)*(r**2 + 2*r**2 + 0*r**2) + (-4*r - 6*r - 5*r)*(-r**2 + 0*r**2 + 0*r**2).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 2*l**2. Let h(o) = 2*o**3 + 23*o**2 - 28*o**2 + 4*o**2. Give 6*h(j) - 4*r(j).\nAnswer: 4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.540937197 rounded to 3 decimal places?\nAnswer: -3.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21791 at most -21787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 43\nAnswer: 13\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/45)\/(s\/(s*s\/(s**(-2\/131)*s))*s)*s**(-24)\/s*s**(20\/9))**(7\/5) assuming s is positive.\nAnswer: s**(-326242\/9825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -63?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n + 29 = 2*r, -3*n + 20 = r. Solve -25*g = -r*g + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -27804*d - 194642. Give u(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 3*x - 17*x**2 - 4*x + 4 as z*x + a*x**2 + s and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5440 and 1360?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 - 129. Suppose 0 = 2*l - y*l + 45. Solve 8*b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/234)\/(-1*30\/(-18))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.24 in -0.09, 12\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*f - 625*f = 4. Suppose -2*b + i - 2*i + 69 = 0, 0 = 2*b + f*i - 72. What is the remainder when 339 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose 3*k = 8*k. Suppose -2*i - 2*x - 2*x + 12 = k, -4*i = -4*x. Solve 2*f + 3*f = -i*h - 10, -3*h - m*f = 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmrmrmppmrrpr. What is prob of picking 2 p and 1 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-57)\/(-38)*(7665 + (8 - 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17415746 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11051 is divided by 210.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 1 - 1)*(-c**3 - 3*c**3 + 2*c**3) + (-3*c + c + 3*c)*(c**3 + c**2 - c**2) + 2*c**4 - c**4 - 10*c**4 + 102*c**2 - 102*c**2 - 4*c**4 + 13.\nAnswer: -10*c**4 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850606268 to the power of 1\/2, to the nearest integer?\nAnswer: 43019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1, 6 in descending order.\nAnswer: 6, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 5*s**2 - 7*s + 7. Let q(f) = -15*f**2 + 11*f - 17*f + 20 - 15*f + 3*f**3. Let x(y) = 11*h(y) - 4*q(y). Is 3 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 4 (b) -2 (c) -6.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:40 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (6 + -11)) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:05 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p**4\/7 - 52*p**3\/7 + 69*p**2\/7 - 18*p\/7 - 8\/7 = 0. Calculate p.\nAnswer: -2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109.2 - 109. Which is the closest to -0.3? (a) -2\/15 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25 + 27)*(2130\/4)\/3. Calculate the greatest common factor of 20 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17816214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s - 8. Suppose 17 - 5 = -6*x. Let i be y(x). Solve -z + 4 - 6 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 + -73. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159540 divided by -5\nAnswer: -31908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292 + -124. Suppose 3*k - 7*k = -s. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a meter in millimeters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2687 = 305. Let l = o + -393. Solve l*w = 2*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/95)\/((-26)\/(4\/(-2)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/110638 and 89\/856?\nAnswer: 442552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 30*b**2 + 2*b + 16. Let g = -58 - -62. Does 18 divide f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 7:21 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*u - 4 = 0, 2*u = 4*a + 3*u - 14. Let i(r) = -2*r**3 + 5*r**2 - 4*r - 2. Let d(x) = x**3 - x**2 + x. Let f(n) = a*d(n) + i(n). Factor f(v).\nAnswer: (v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 419 - 347 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-200)*110\/(-5).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**2 + t. What is the smallest common multiple of 9 and f(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36716 is divided by 56?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11072 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1696*s + 24 = -1684*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/((-1)\/(-2)). Let o = -4 - x. Sort o, 5, 2 in decreasing order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -7*g + 1. Solve k - 2*c + 1 - 5 = 0, 5*k - g*c = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*6 + (sqrt(18)\/sqrt(6))**2*-5 + (sqrt(300) + 2 - sqrt(3))*-5.\nAnswer: -21*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(32)\/sqrt(4)*6 - 5*1*sqrt(8)))\/(-4*(sqrt(16) + sqrt(112)\/(sqrt(28)\/sqrt(4)))\/(sqrt(16)\/(1*sqrt(4)))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047926 to four dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -15*a**2\/2 + 5*a - 5548. Let x = 10 - 21. Let y(b) = -8*b + 3. Give x*y(g) + 6*i(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + t + 7. Suppose 109*g - 105*g = 0. Let v be l(g). Solve -3*j + v = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 - 255*n**2\/4 - 5289*n\/4 + 5547\/4.\nAnswer: -3*(n - 1)*(n + 43)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 552 + -191. Let r = q + -246. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 966. Let u = 574 - w. Let r = -1753\/7 - u. What is the second biggest value in -2\/3, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 5 - (77\/14 - 1). What is the second biggest value in o, -56, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose -3*d + 29 = m. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004146 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-4 + (-21)\/(-6)). Let y be (-4 - -1) + 5 + -3. Let r = y - 0. Which is greater: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 + -2 + 5 - -2. Suppose 2*z - 98 = 2*u, q*z - 5 = 11. Let l = u - -106. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 8) to base 16.\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13042 (base 9) in base 7?\nAnswer: 34421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8276396 is divided by 3406?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 9*n**5\/2 + 177*n**4\/2 - 1641*n**3\/2 - 39057*n**2\/2 - 19344*n + 247680 = 0.\nAnswer: -16, -5, 3, 43\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 8357729\nAnswer: -4\/8357729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 + 1. Let f be v(-1). Let h = 11 + -19. Let g(s) = -3*s + 2. Let i(o) be the first derivative of o**2\/2 - o + 1. What is f*g(t) + h*i(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 249 + 32*j**2 - 46 - 31*j**2. Let b(u) = 2*u. What is b(g(a))?\nAnswer: 2*a**2 + 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85c (base 15) to base 5.\nAnswer: 30022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 6*i + 1. Let g(h) = h - 13. Let l be g(7). Calculate u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/((-54)\/12 - -5). Put -4, 4, i, 5\/4 in decreasing order.\nAnswer: 4, i, 5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6290+306178\nAnswer: 312468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4895945\/6 - -815991. Factor -p*o**2 + 17\/6*o - 8\/3.\nAnswer: -(o - 16)*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -0.2, 3, 0 in decreasing order.\nAnswer: 3, 0, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -38, 2, 0, 3 in descending order.\nAnswer: 3, 2, 1, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 594*b + 35058. Suppose -3*n + 22 = -n - 2*m, -105 = -5*n - 5*m. What is the smallest common multiple of f(-59) and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 6)*(-4 + 4 - 3*l) + (-2*l - 4*l + 5*l)*(1 + 0 - 3) + 5*l - 4*l + l - 3 + 3 - l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.022? (a) -146 (b) 1 (c) -10 (d) 4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 920*y**2 + 10420*y - 17200.\nAnswer: 5*(y - 172)*(y - 10)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -57, -93, -143, -207, -285?\n\"Answer: -7*a**2 - a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**4 - 8*b**3*j + 6*b**2*j - 3*j - 14 wrt b.\nAnswer: -32*b**3 - 24*b**2*j + 12*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 44, 120, 268, 512, 876, 1384, 2060?\nAnswer: 2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-49)\/(-28) - 1)*12. Let v(p) = p**3 - 3*p**2 + 6*p - 69. Is v(a) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171612786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3068 and 9958964.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**3 + 2 - 2 + 6 + 3*v**2 - 1 in the form x*v + h*v**3 + k + m*v**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280\/6 + -2*(-4)\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7945987.2400558 - -15097516.5400571. Let x = 7151529 - d. Let q = 0.3 + x. Round q to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 - 1 = 0. Solve 0 = -f*m + 6*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 3. Let v = 22 - 26. Let o = 6.04 + -6. Which is the nearest to k? (a) -1\/2 (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1973000 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 + 9)) + 3 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 x when four letters picked without replacement from {l: 3, s: 4, x: 3, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**2*o + 58*n**2 + 2070*n*o + 2*n - 48810451*o wrt n.\nAnswer: -8*n*o + 116*n + 2070*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110000 + 1110112020000?\nAnswer: 1110112200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-71.7.\nAnswer: -21.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20512, -20339, -19886, -19021, -17612?\n\"Answer: 22*n**3 + 8*n**2 - 5*n - 20537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/8 - 1165717*s**2\/8 - 1165715*s\/4.\nAnswer: -s*(s + 2)*(s + 1165715)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(972)*2 + sqrt(972))\/(sqrt(81)\/(sqrt(9)*-3) + sqrt(9) + sqrt(9)))**2.\nAnswer: -108*sqrt(3) + 9373\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 + 6*y**3 - 4*y**2 - 5 + y - y - 4*y. Give c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20480)\/660 + 39\/1287\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1721, -3415, -5117, -6821, -8521, -10211?\n\"Answer: h**3 - 10*h**2 - 1671*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/30 and 109\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 17*q + 20. Let c be d(-18). Suppose -y - c = -3*y. Let u(f) = 36*f**3 + f**2 - 2*f + 1. What are the prime factors of u(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 867, 3145, 6829, 11919?\nAnswer: 18415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -54 + -1 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.747 + -0.547. Which is the third smallest value? (a) 36 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135 - 5112 = -315*z + 3833 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1264\/259 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 54. What is the third derivative of -30*r**4 + h*r**2 + 62*r**4 - 33*r**4 + r**2 wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)\/f)**19*(f**4)**(2\/47) assuming f is positive.\nAnswer: f**(-869\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8*x = 3*x - 199, 5*x + 43 = 2*k. Calculate the highest common divisor of k and 510.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7542567 - v + 5*v - 37*v**2 - 7542567.\nAnswer: -37*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 1324503?\nAnswer: -1324454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42858 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 (base 9) in base 8?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (191\/5 + -36)\/((-45)\/(-900))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -138615, -277231, -415847?\n\"Answer: -138616*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**2 - 27*d**2 - 21*d**2 + 6*d**2)*(-1 + 3*d + 1).\nAnswer: -159*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 10:47 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/7)\/l)**(-30))**(-3)\/((l\/((l**1*l*l)\/l))**(-1\/22))**(-3\/4) assuming l is positive.\nAnswer: l**(39621\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1194 divided by 2\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 12*k**2 + 13*k + 12. Let z = -3268 + 3278. Determine n(z).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34 - (-13 + 16)) + 7. Solve 5*g = t - 8 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 8 + -1 - (-7 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7346 + 7343. Which is the nearest to w? (a) 2 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 229\/4? (a) -31\/5 (b) -0.5 (c) 2.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83064832 a multiple of 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.06. Let h be (6435\/(-4))\/(-11) + -1. Let r = -145 + h. Put s, 2, r in increasing order.\nAnswer: s, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 42160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c*c**0)*c))\/c**(-1\/5)*(c**(-1)\/c)\/(c*c*c*(c\/c**(-2\/11)*c)\/c*c) assuming c is positive.\nAnswer: c**(-274\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*l - 69 = -470 - 103. Find m such that -1\/7*m**4 + 0 - 3\/7*m**l - 2\/7*m**2 + 0*m = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((0 - 0) + 6 - (-31992)\/(-5456)). Which is smaller: j or 32?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029917769 to six dps.\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*v = -1, -4*y - 1 = y - 4*v. Calculate the least common multiple of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-456)\/(-1380)) - (21\/(-14) + 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-14 + (12 - (8 - -6)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.194854 or 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1588 + 1587. Let i = -0.2 + 0.4. Let r = 0.6 - 1. What is the closest to i in p, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 38*x**2 - x - 19. Determine g(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90182 = 2*y + 5*w, 3*w = -5*y + 31364 + 194110. What are the prime factors of y?\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = -2*x - 5, -u - 9 = 3*x. Suppose 0 = -4*z + 3*h - 3, 0*h + h = -4*z + 1. Let k(a) = -7*a - 2 - u + 6 + z. Give k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117493?\nAnswer: 293, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)*f)**0)**10 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5.17.\nAnswer: -5.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 - 18782*s**3 + 9386*s**3 + 9403*s**3.\nAnswer: 7*s**3 - 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(13 + -4). Let h = v + 10. Let y(a) = 7*a**3 - a**2 + 2*a - 1. Let c be y(1). Solve -5*j + 2*m - 15 = c*m, 0 = h*m + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -0 + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {a: 2, v: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15171 divided by 15171?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -1\/24*t**4 + t**2 + t + 1\/3*t**3 + 0. Let c(a) be the first derivative of m(a). Differentiate c(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*c**4*h + a*c*h - 2*a*h + c**5*h - c**5 + c**2 wrt c.\nAnswer: 24*a*c*h + 60*c**2*h - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 14*s**2 + 14*s - 15. Determine u(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8377 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z + 35*z - z**2 - 18*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/7 (b) -0.013 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82207909*p**3*t - 2454*p**2*t + 7724*p*t wrt p.\nAnswer: 493247454*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/30)\/(9\/(-6))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*-78*(-6)\/(-27). Suppose u*d = 25*d + 5. Calculate the greatest common factor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b = 0. Let j(q) = -q**3 - 2*q**2 + 4*q + 4. Let a be j(-3). Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -168, -250, -332, -414, -496?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) 0.14 (c) 8 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99884930 by 71.\nAnswer: 1406830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 55, 106, 195, 340?\n\"Answer: 3*a**3 - 8*a**2 + 34*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 228*h**2 + 889*h + 1486. What is z(224)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49856553 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Suppose 4*t = -w + 101, y*t + 97 = w - 49. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -2515, -8476, -20089, -39238, -67807, -107680?\nAnswer: -160741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 330 = -216 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 1280 = 144*x - o - 1309, -87 = -4*x + 1321*o - 1316*o for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*l = -4*l - 24, -5 = -3*v - 5*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5\/2 + 6170*q**4 + 7564205*q**3\/2 - 30621805*q**2 + 19467550*q + 191580500 = 0. What is q?\nAnswer: -1238, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2\/2 + 1. Suppose -j = r, 4*s - 2*s - 10 = 2*j. Suppose 4*x - s = 36. Solve c = 3*c + x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-0.6352.\nAnswer: 0.038112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f + 18. Let j(b) = 3*b + 6. What is -16*j(c) + 5*q(c)?\nAnswer: 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 = -7. Let b(z) = -2*z - 1. Let w be b(-3). Suppose w = r + k. Calculate the remainder when 5 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 3*j**2)*((-3 - 3 + 4)*(2*j + 0*j - 4*j) - 1 - 2*j + 1).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkl when three letters picked without replacement from lbblblbklllbbllbll?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2370\/553)\/(16\/(-14)). What is the third smallest value in o, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2478 = -65*t - 540 + 3067. Sort 10, -2, t.\nAnswer: -2, 10, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/8 + d**3\/3 + 4*d**2 - 6*d. Let k(t) be the first derivative of q(t). Suppose c + 0*c = 2. What is k(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*n + 104*n + 260. What is the greatest common factor of 1118 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) -1.8 (c) -4255979\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75583.03 millilitres to litres.\nAnswer: 75.58303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2895 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*p - 25 = 0, -3 = -c + 4*p + 17 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 470 = 0. Let v = 314 - 147. Let d = r - v. What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s - 5. Let h be s\/3*(-5 + -7). Let y be (-2)\/((-24)\/9)*h. Solve -j + y = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1176 = -949*v + 1055*v - 414. Suppose 0 = -4*r - 4*m, -2*m = 5*r - m. Suppose 5*f - 3*f - 60 = r. Calculate the highest common divisor of f and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/37 - 556\/111. Calculate the common denominator of 5\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 46. Determine t(-16).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 3390?\nAnswer: 84750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 605, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 12:58 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.09 + -0.09. Let u = c - 22. What is the third biggest value in u, -2\/9, -21, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1999 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/30 and 33\/17188255?\nAnswer: 103129530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + p**2 - p**2 + (-2*p**2 + 3 - 3)*(-6 + 0 + 4) + p**2 - p**2 + p**2 - 1 + p**2 + 1)*(8 + 9 - 4).\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 378?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/2025 and -193\/393300?\nAnswer: 3539700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/69505845 or -1?\nAnswer: -2\/69505845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-24)*3\/2 + 117. Round c to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543920 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f + 47*f = -36. Does 3 divide (561\/34)\/(f\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19053 - 0.24053. Sort -5\/2, -3\/31, h.\nAnswer: -5\/2, -3\/31, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187.43 - -57921.\nAnswer: 57733.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -358 + 628. Let q = a - 115. What are the prime factors of q?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 43*t**4\/12 - t**3\/6 - 9*t**2\/2 + 16*t. Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 8. Suppose 0*t = -3*t - 27. Let o be 9*s\/t + 0. Solve 4*d + 3*u + 6 = u, o*d + 9 = -3*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 + 1465000*w**2 + 4395035*w + 2930030 = 0. Calculate w.\nAnswer: -2, -1, 293003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - 5*g)*(54*g + 8*g - 19*g)*(-4 + 3 + 0).\nAnswer: 86*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 4. Let j be m(-2). Let u(z) = -3*z**2 - 5*z - 7. Let n(s) = 4*s**2 + 4*s + 8. Let b(y) = -2*n(y) - 3*u(y). What is b(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 104416815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970678 - 485342 - 485336 + 1621*b**3.\nAnswer: 1621*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2228267, -4456498, -6684693, -8912858, -11140999, -13369122?\nAnswer: -15597233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 2, -6711.\nAnswer: -6711, -7, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(153) - (1*sqrt(153) + sqrt(153))))\/(sqrt(9) + (sqrt(9) - sqrt(81)*2)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 - 157. Suppose -7*o + 33 - 5 = p. Solve -i + o = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 19 + -6 + 6 + 15.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 4.88.\nAnswer: 0.1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4. Let w(f) = -6. Let i(c) = 4*a(c) - 3*w(c). Let b(r) be the third derivative of -r**4\/12 + 10*r**3\/3 + 2*r**2. Calculate -2*b(d) + 20*i(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 3*w**3 - 2*w**3 + (11*w**2 + 4*w**2 - 7*w**2)*((-2 - 3 + 1)*(-w - 2*w + 2*w) - 3*w - w + 5*w + 1 + w - 1).\nAnswer: 47*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 138*f**2 + 234*f - 5851. Calculate s(-140).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*j = -t - 15, -2*j + 15 = -3*t. Is (-2)\/t - (-441)\/35 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 1\/2, 0.08, 6\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from aaaaaaaaaassa?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16758, 16837, 16916, 16995, 17074?\nAnswer: 17153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(48) + -1.\nAnswer: 3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4328?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from izieiejiz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121436*p**2 + 7 - 43*p**3 - 560715*p**2 - 560721*p**2 + 14.\nAnswer: -43*p**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/o**(2\/15))\/o)*o*o\/(o*o*o\/(o\/(o\/(o**(-5)*o))*o))*o**(1\/2)\/o**(-8))**(-22) assuming o is positive.\nAnswer: o**(-1859\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 140 and -1.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - (-4 + 17 - -82).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30222 rounded to 3 decimal places?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-6)*-1)\/(4\/(-6)). Let t = 1 - 0.9. What is the smallest value in 2\/11, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19374 (b) -2136 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 + 2)*(3 + 2*d - 3)*(-4 + 4 - 2).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*d*k**3 - 12*d*k - k**5 + 7*k wrt k.\nAnswer: -324*d*k - 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*d + 40, -12 = -2*t + 5*d + 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 5531?\nAnswer: -5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 193111, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92831 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15459342.6 rounded to the nearest 1000?\nAnswer: 15459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1 - 3*d + 4*d + 7. Let k be p(-3). Let l(u) = -2*u + 4. Give l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3020470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -36286*v + 108432. What is p(3)?\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexeeeieeeexippeiex. Give prob of sequence pe.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -2*h, -3*m - 3*h = -3. Suppose 154 = 3*b + 4*v + 56, m*b - v = 156. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10083\/100 - -377\/25. Let d = -85 - p. Factor 3\/4*u + d*u**3 + 0 - 3\/2*u**2.\nAnswer: 3*u*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 less than or equal to 82396\/2313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3263 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*p**3*v**4 + 22*p**3*v**2 + 6*p*v**4 - 2*v**2 + 2 wrt v?\nAnswer: 288*p**3*v + 144*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h - 89*h - 19386 = 58*h + 289*h for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444636 is divided by 3394.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1723405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9170645*x**5 + 8027333*x wrt x.\nAnswer: 183412900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16 = 8. Let x = 11 + n. Is x >= -7\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -8. Let x = 11 + s. Do x and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2. Let r(v) be the third derivative of v**5\/60 + 5*v**4\/24 + v**3\/3 - v**2. Let l be r(-5). Let u(z) = -z**l + 4*z - 4*z. Give u(d(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(117)*-6 - (sqrt(156)\/sqrt(3) - 4*-2*sqrt(13))) + 3)**2.\nAnswer: -492*sqrt(13) + 87421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4 - 1 = 0, 2*y + 3 = 3*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2596641978?\nAnswer: 2, 3, 7, 439, 140831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 29 + 50 = 0. Suppose 5*a - y + 5 = 0, 3*a - 4*y = -15 - 5. Suppose -x + a*x = -k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m. Solve m = -5*y + d - 1, 2*y + 2*d = 3*d - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x**3 + 2*x**2 - x)*(3 + 1 - 3).\nAnswer: -x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236785 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 69242.46km?\nAnswer: 69242460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422895 is divided by 11747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73.46 - 72.96. Let s = 2.96 + 0.04. What is the nearest to 1 in s, y, -5, 34?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2635 + 686*n**3 - 1279 - n**2 + n**2 - 1286 wrt n.\nAnswer: 2058*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -1 - 11. Let y be ((-3)\/(-2))\/(1\/4). Suppose w*q + 78 = y*q. What is the highest common factor of 65 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2376 + -3?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/60*7\/7\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158220 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.75871 rounded to one decimal place?\nAnswer: -199.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 10cbb8?\nAnswer: 10cbb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*f\/(f**(2\/25)\/f))\/(((f**3\/f)\/f)\/((f**(-3\/2)*f)\/f*f))*(f**(-1))**(-24)*(f\/((f**5*f*f)\/f*f))\/((f\/(((f**6\/f*f)\/f)\/f)*f)\/f) assuming f is positive.\nAnswer: f**(1371\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 374*p - 373.\nAnswer: -(p - 373)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(432)*1 - (sqrt(432) - (sqrt(432) - (sqrt(432) - 1*(1 + sqrt(432))))) - (sqrt(432) + 4*sqrt(432) + -2 + 4*(sqrt(432) + -1)))**2.\nAnswer: -1176*sqrt(3) + 21217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522215*x + 522209*x - 2*y + 2 = 0, -16*x = 3*y - 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 103, 159, 215, 271?\n\"Answer: 56*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3961 and 255.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -1\/4 - 1\/4*k**3 + 1\/4*k**4 + 1\/8*k**5 - 7\/8*k - k**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1354 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqo when three letters picked without replacement from {q: 3, h: 2, w: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 10 - 13 + 217*a**3 + 620*a**3.\nAnswer: 837*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -165 times 12\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102639 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 9 = 4*o - 3*u, -2*o - u - 2 = 0. Let w = o + 6. Solve -p + 4 = -h, -w*p - h - h - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x**(3\/4))\/(x**1\/(x*x**(-3\/2))) assuming x is positive.\nAnswer: x**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 132, 354, 774, 1458, 2472?\nAnswer: 3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g + 4*g)*(-4*g**2 + 3*g**2 + 4*g**2) + 240*g**3 - 49*g**2 + 48*g**2 - 23*g**3.\nAnswer: 223*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 26*m**2 + 7*m**2 + m**2 + 7*m**2 + 2*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19204224 to the nearest integer?\nAnswer: 4382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/60 + 17*i**3\/30 - 19*i**2\/5 - 115*i. Factor p(k).\nAnswer: (k - 2)*(k + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3435038?\nAnswer: 2, 83, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -2\/7 (c) 7 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.09*-1.3.\nAnswer: -13.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60891 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-423)\/(-423)*1*15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -781 - -871. Suppose 0 = -d*s + 113*s - 552. What is the greatest common divisor of s and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Suppose -4*u = -20 + 4. Put 1, x, u in descending order.\nAnswer: u, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:15 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*c + 215, 0 = 5*k - 0*c - 2*c - 260. Let z = 27230 - 27220. Calculate the greatest common factor of k and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/21 + -5 + (-231)\/(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -6910?\nAnswer: -6911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/42*14)\/((-50)\/(-1))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-136)\/((-24)\/4 + 4) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563 is divided by 254.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) -259\/51 (b) 1\/2 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-4134)\/(-5512))\/(-3*1\/(-460)) and 55?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2227.64 and 12.\nAnswer: -26731.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*r**2 + 75*r**2 - 22*r**5 - 41*r**2 - 243 + r - 59 wrt r.\nAnswer: -440*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241 + 3*k - 111 - 97*k**2 - 113 wrt k?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.6 take away -27427212567?\nAnswer: 27427212546.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -58 + 23 - 589\/(-19). Let j be 10*(-1 - (-3)\/2). Let f = -0.1 + -0.1. What is the closest to j in f, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 8. Let j(p) = -16*p - 43. Let w(q) = -4*j(q) - 22*o(q). Let d(y) = y + 5. Determine 3*d(s) + 4*w(s).\nAnswer: -5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4740103\/71742 + -85\/3261. Let y = c + -730\/11. Find the common denominator of (-9)\/2*(-1)\/13 and y.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128, -275, -438, -623, -836, -1083, -1370?\n\"Answer: -a**3 - 2*a**2 - 134*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + i**2 + 44*i + 12 + 67*i**4 + 3*i**3 - 43*i to n*i + t*i**4 + o*i**2 + u + v*i**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*(-8 + 17). Let v be (r\/60)\/((-1)\/(-2)). Sort v, 4, 0 in descending order.\nAnswer: 4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.7 - -8. Let r = f + 0.6. Which is the second biggest value? (a) 0 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5) - (259\/(-105) + 2). Which is the closest to -0.1? (a) r (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -3 + (2321 - 0\/(-6)). Suppose -2*d = -h + 402. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 times -0.4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-488)\/(-1708))\/(22\/14)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 3. Let u be l(-4). Suppose 0 = -2*i + 2*g + 6, 0 = -105*i + 103*i - 4*g. Put u, 0, -4, i in decreasing order.\nAnswer: i, 0, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 8*w**2 - 5*w - 5. What is the remainder when o(-8) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 17*a - 8. Suppose p = 2*l - 11, -3*p + 2*l - 27 = -l. Is j(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, j: 1, a: 6, p: 5, s: 3}. Give prob of sequence jps.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 10*o**2 - 14*o - 134. Let p be h(-10). Let d(a) = -62*a + 375. Let b be d(p). Solve 0 = 4*r - b*s - 5, -r - 4*r + 2*s + 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -167, -4, -0.6, -0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18951948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -1. Which is the biggest value? (a) m (b) 5\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/5 - 71*x**4\/5 - 339*x**3\/5 - 601*x**2\/5 - 464*x\/5 - 132\/5 = 0.\nAnswer: -66, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3 - 3)*(2 + 1 - 1) - 49*k - 62*k + 65*k + (0*k + k - 3*k)*(4 - 2 + 0) - 3*k - 4 + 4.\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13200*a**2 - 5*a - 321303 wrt a.\nAnswer: 26400*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -3. Let o(k) = 66*k**3 - 3*k**2 - k + 1. Let d be o(-2). Let r be d\/(-12) - (-4)\/16. What is the greatest common factor of r and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 2. Let n be i(3). Let r be ((-36)\/21)\/(52\/182). Let p be 99\/66*2\/(-3)*r. Solve -d = 3*l - 6*l + p, 7 = n*l - d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138755.5 and 2?\nAnswer: 277511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6214532 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + z = 2*z, 5*a - 1 = -2*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1404 - -5126. Let s = n - 150253\/23. Is s >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - x**2 + 4*x + 0*x**2 - 7 + 2*x.\nAnswer: -(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8740.569203 + 0.200797. Let o = 8699 - c. Let t = -42 - o. Round t to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -36*o - 9148. Give t(-254).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*33\/30 - 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*u + 11 = 0, -2*d + 3 = -4*u + 9. Suppose -d*p + 62 = 2*k - 88, 30 = p + 3*k. Calculate the greatest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1432*f**3 + 0 - 3 - f - 7 + 10 to o + u*f**3 + t*f**2 + d*f and give u.\nAnswer: 1432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 2 - 3 + 2)*(46*m**3 - 22*m**3 - 59*m**3) in the form v*m + q*m**2 + l*m**3 + k*m**4 + z and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 7749.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (105\/10 - 9)*2. Determine r, given that -r**2 + 14*r + 3*r**3 + 2*r**2 + l*r**2 - 5*r**3 + 8 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6579 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 5*f**2 + 2. Let k be r(5). Let l(z) = 7*z + 51. Let d be l(-8). Which is the closest to -2\/3? (a) d (b) k (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -950.2203 to the nearest 10.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11244 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(91))\/(-1*sqrt(567) - sqrt(567)) - ((sqrt(13) - (-5 + 1*sqrt(13) + sqrt(13))) + sqrt(13) + (sqrt(13) - -4*(sqrt(13) + -1))))**2.\nAnswer: 91*sqrt(13)\/9 + 107977\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -166106235 (base 7) to base 15\nAnswer: -100be2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (8 + 0)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 10 = 3*d, 18 + 0 = 3*d - 3*g. What is the first derivative of 0*n**2 - 14 + 0*n**d + 11 - 5*n**3 wrt n?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w + 2. Suppose -4*m + 19 = -17. Let s be (9 - m)\/(3\/(-1)). Let g be t(s). Solve -x + g = -3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343922040 divided by -6253128\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*-1*sqrt(114))\/(1*sqrt(384))*-6 + 2.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96 + -1175?\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 - -282. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + -1 + -2 - (3 + -3 + (sqrt(3) + 2)**2).\nAnswer: -10 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4538509?\nAnswer: 4538509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99431, 99430, 99429, 99428, 99427?\nAnswer: 99426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005155823 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*((sqrt(147) + 2 + 1)**2 + -5).\nAnswer: -757 - 210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -706923 in descending order.\nAnswer: 1, -6, -706923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7105667 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -67, -203, -455, -859, -1451?\n\"Answer: -6*h**3 - 4*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(2 + 12\/(-2)). Suppose p + p + 3*l - 77 = u, 2*l = -5*p + 198. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**8\/84 + 29*b**7\/42 - 363*b**5\/10 - 19*b**2 - 127*b. Find the third derivative of j(f) wrt f.\nAnswer: -240*f**2 + 3480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10569, -2, 5 in increasing order.\nAnswer: -2, 5, 10569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1970 and 1342\/200 + 9*70\/(-90)?\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**4\/12 + s**3 + 17*s**2\/2 + 11*s. Let f be u(8). Is (f + 0)\/((-5)\/(-2905)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 - 5*o - 11. Let s(d) = -4*d**2 - 8*d - 16. Let l(w) = 7*q(w) - 5*s(w). Let y be l(5). Solve -2 = y*z - u + 3, 0 = -5*z - 2*u - 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13010605 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -617\/4 + 155. Let b = -0.03 + 3.03. Put s, b, 4 in descending order.\nAnswer: 4, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, g: 2, f: 1}. Give prob of picking 1 f and 1 n.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4147*n + 22743 - 126418 = 0 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 80*z + 4 = -77*z, -4*n = 5*z - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0 - 1\/2*l**3 - 25*l + 17*l**2. Let m be c(8). Solve 4*k + 3 = o, 5*o + 2*k + m = -3*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 = 10. Let z be 0 + (-1 - a\/(-6)). What is the biggest value in -2\/3, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-75) + 96\/(-45). Let l(f) = -f + 2. Let u(m) = -m + 4. Let x(w) = c*l(w) + u(w). Let y(a) = a**2 - 11*a. What is y(x(n))?\nAnswer: n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 4. Let w(h) = h + 11. Let c be (-1 + 2)*(2 + -8). Let m be w(c). Give a(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from jqqqqqqqqjqqqqjqjj.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Suppose 2*t - p - 2 = 3*t, 2*t - 16 = 2*p. Let b = t + 4. Calculate the highest common factor of x and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - -1 - (-36 + 40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*r + 487, 37*w - 316 = 35*w - 6*r. Solve 14*k + w = 217 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -560*q**2 + 442*q**2 - 404*q**2 - 944*q**2 - 41*q**2 to the form g*q + p + f*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 838 - 778. Calculate the greatest common divisor of n and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2201404 - 12014?\nAnswer: -2213423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/27, 2, 3, 10, 2\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 52 = 12. Let n(b) = 8 - i - 6*b - 4*b. Let m(x) be the third derivative of x**4\/6 - 14*x**2 + 17. What is n(m(k))?\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (52 + 49401\/(-858) - 1\/((-2)\/(-7)))\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 6*v + 6. Let z be s(5). Calculate the common denominator of 32\/3 and z*3*(-24)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2. Let q be -2*(-1)\/1 + 3. Let d(k) = 6*k**2 + 5. Let h(r) = 5*r**2 + 4. Let f(y) = q*h(y) - 4*d(y). Give x(f(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12046\/7 or 1721?\nAnswer: 12046\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.044*60797.\nAnswer: 2675.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/4 - 3*z**3\/2 - 5*z**2\/2 - 2*z. List the prime factors of y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, -5\/12, 3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 360, 541, 712, 867, 1000?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*r - 0*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 5*b**3\/3 - 5*b**2 - 15*b + 278. Factor f(x).\nAnswer: 5*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5 - 153474*s**4 + 1963469526*s**3 - 15700543680*s**2 + 33359646375*s - 19622418750 = 0.\nAnswer: 1, 2, 5, 25575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*a + 24. Suppose -3*d = d - a. Solve -2 = -3*h + d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:52 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 y when four letters picked without replacement from uyyyuyyyyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t**3*w - 2*t**3 + 7*t**2*w**2 - 8*t**2*w - t*w**2 + 12*t*w - 12*t wrt t?\nAnswer: 30*t*w - 12*t + 14*w**2 - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.73437 millilitres to litres.\nAnswer: 0.02673437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 145, -5, 3, 2 in descending order.\nAnswer: 145, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -9 - (-3 + 1 + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u**2 - 25*u - 1. Let v(r) = 39*r**2 + 76*r + 2. What is -11*n(y) - 4*v(y)?\nAnswer: -2*y**2 - 29*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*j**3\/5 - 33306*j**2\/5 - 18996*j\/5 - 2712\/5 = 0. Calculate j.\nAnswer: -226, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 986 and 29754.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiiiiiiiiilii?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (52\/(-20) + 3)*35. Let x be (24\/(-40))\/(s\/10). Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 8. Suppose 0 = s - 15 + 1. Let q = 17 - s. Solve -2*z = 4, -2*t - q*z = -v*z - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51534)\/1540 + (-6)\/(-10). Let b = y + -172\/11. What is the common denominator of ((-1)\/(-2))\/(3\/177) and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13476?\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzctttzzrcr. What is prob of picking 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66745154?\nAnswer: 2, 7, 463, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2924400159\/9004 + 324789. Is u less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = -3*y, -50*y = -53*y + 3*l. Let -1\/5*f**y - 64\/5 + 16\/5*f = 0. Calculate f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -824*-2.\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -835 and -0.102?\nAnswer: 85.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhz when three letters picked without replacement from {z: 19, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 14*p = 259. Suppose -4*v - a = -1075, -3*v + 3*a + p = -2*v. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.9 + -4.6. Let k = -5.72 + w. Let h = k + -1.6. Round h to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxubxbubuuuuu. What is prob of sequence xbbx?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*u + 11. Suppose -u = 4*b + 3. What are the prime factors of 1 - -1 - (b + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a8 (base 14) in base 11?\nAnswer: -778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 - 11*h - 10. Suppose 3*q + 1413 - 1653 = 0. Suppose 0 = -92*u + q*u - 84. Calculate k(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {d: 8, q: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 11*h + 4. Let p be z(-10). Let k = p - 3. What is the units digit of 4*(k\/6 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, 0.5, 430, 1\/10, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) 6 (c) -2\/5 (d) -14.752 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 1, z: 1, k: 1, e: 3, w: 3}. Give prob of sequence nwc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10843, -10462, -9815, -8896, -7699, -6218, -4447, -2380?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 10:49 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - 5*n - 4. Let b(k) = 4*k**2 + 4*k + 3. Let w(p) = 4*b(p) + 3*g(p). Let u be w(5). Suppose 0 = 2*v - 118 + u. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 9*y**2 + 20*y + 3. Is v(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 9012?\nAnswer: 9012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 8*d - 7*d + 3264.\nAnswer: -3*d + 3264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122, 447, 982, 1721, 2658?\n\"Answer: -k**3 + 111*k**2 - k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 57*z**2 - 55*z - 60. Let j be f(56). Suppose -17 = -4*k + 3. Sort 15, k, j in ascending order.\nAnswer: j, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = -3*c - 42, 4*z + 2*c + 54 = 0. Let k be (218 - -1) + z + 12 + -3. Is 215 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(832) + -1 - sqrt(832)) + sqrt(832) + sqrt(832) + 2 + sqrt(832) + 3)**2.\nAnswer: 288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**8\/42 + c**5\/60 + 7*c**2. What is the third derivative of d(j) wrt j?\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((6 - -5) + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74576 is divided by 106.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*f + 5*j, 0 = -f - 3*j + 102 - 96 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5 = 4*j - 0, -4*a = 3*j + 5. Suppose 35015 = -w - j*n, -5*n - 4801 = -w - 39786. What is w rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 4*i + 4*i. Let s(u) = 2*u**2 - 3*u + 3. Let y(d) = -9*d**2 + 13*d - 13. Let g(x) = 26*s(x) + 6*y(x). Calculate g(h(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 - 109*j - 100. Determine z(13).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1200 and -139\/150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 26 = 66. Suppose b*h + q + 26 = 9, -4*h + 2*q = 22. Let f(k) = -6*k**2 - 6*k + 2. Let v(l) = -l**2 - l. Give h*v(s) + f(s).\nAnswer: -2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 555\/(-36)*51\/(-1445)*17.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 j when three letters picked without replacement from {j: 2, p: 1, t: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 - -171. Let n(i) = -20*i - 151. What is the least common multiple of 233 and n(c)?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 45*m + 39. Let k(y) = 3*y**2 + 42*y - 39. Let f(g) = -3*k(g) - 2*p(g). Find z such that f(z) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (109\/(-436))\/((4\/6)\/(8\/21))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**8\/168 + n**5\/15 - 7*n**4\/3 - n**2 - 26*n. Find the second derivative of h(z) wrt z.\nAnswer: 40*z**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**4 - 2*m**3 - 11*m**2 + 8*m. Let t(z) = 65*z**4 - 45*z**3 - 240*z**2 + 175*z. Let g(x) = -2*t(x) + 45*v(x). Solve g(f) = 0 for f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11929*d**2 + 5*d - 7. List the prime factors of a(-1).\nAnswer: 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(8\/(-80)). Suppose -4*o + n + 8 = -27, -4*o + 31 = -l*n. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1743 and 7968?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 0*z - z)*(39*z + 21*z - 21*z)*(-3*z + z + 2 + 0*z) to the form u*z + l*z**3 + v*z**2 + a and give l.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -189, -2\/13, 1 in descending order.\nAnswer: 6, 1, -2\/13, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200100110 - -111111?\nAnswer: 100200211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7428000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/120 - m**5\/15 + m**4\/12 - m**3 - 6*m**2. What is p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144022 + -12313?\nAnswer: -211340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -240, -364, -490, -618, -748, -880?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2\/3 - 4252*f\/3 + 8500\/3 = 0.\nAnswer: 2, 4250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/24 + t**5\/12 - 5*t**4\/12 + 2*t**2 + 117. Factor w(c).\nAnswer: 5*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6*(-8)\/12)\/(34\/(-153))*-122.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7631934 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 5*k + 39*k**2 - 35*k**2 in the form m*k + f*k**2 + d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5197 is divided by 102.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.23. Let k = -6 - -6. Let h = g - k. Which is the second smallest value? (a) 2 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111859516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-24)\/(-16)*2). What is the second biggest value in -4, w, -9\/16, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-75)\/(-10) + -5)*-150. Let p = -383 - k. Put p, -1, -3, 4 in increasing order.\nAnswer: p, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-14 + -1)*(-112)\/(-6). Let k be 4 - (w\/(-12))\/7. Put 1\/2, 1, k in decreasing order.\nAnswer: 1, k, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 0 - -18 - 0. Let w = -12 + b. Suppose -3*h = -5*m - 31, -2*m = -0*m - 2. Solve -2*s + h = -w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382422 (base 13) in base 5?\nAnswer: 321104330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(1*sqrt(8) + sqrt(8)) + (sqrt(891)*3)**2.\nAnswer: sqrt(11)\/2 + 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0682 (b) 4 (c) 13 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.52 - -3.48. Let b = -0.1 + -0.1. What is the biggest value in a, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2534725 divided by 8\nAnswer: 2534725\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(-78*1\/5)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a79 + 0?\nAnswer: a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 0.06769.\nAnswer: 0.16769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3059, 3, 1, -45 in ascending order.\nAnswer: -45, -4, 1, 3, 3059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -61, 1 in ascending order.\nAnswer: -61, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -3332.6 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*g + 486*g + 19633 = 136*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/9 + 28*q**2\/9 + 160*q\/3.\nAnswer: -q*(q - 40)*(q + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*11\/((-297)\/(-45)). Sort 1, b, -2, 7 in decreasing order.\nAnswer: 7, b, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.16, 0.4, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.016*288.9\nAnswer: -4.6224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8920447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870.9829 rounded to the nearest 10?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7*c + 3*c = 108, -81 = -4*f + 5*c for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 44?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - d = 3, 9 = 2*i + d + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005377672861 to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11011111011010000011 (base 2) to base 8\nAnswer: -3373203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079056 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 7 + 4*p**3 - 13 - 2*p**3 to the form u + w*p + g*p**2 + n*p**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 23466.2 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 - 72*j**2 + 73*j**2 + 38*j**2 + 24*j**2.\nAnswer: 91*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 133, -20, 4 in increasing order.\nAnswer: -20, 1, 4, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**3 - v**2 - 7*v + 3. Let d(l) = -2*l**3 - 2*l + 1. Let u = -7 + 5. Determine u*q(o) + 7*d(o).\nAnswer: -2*o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 28 = q - 67, 303 = 3*q - 3*i. Let n be 24\/9*q\/12. Find t, given that 2 + 2 - n*t - 288*t**2 + 306*t**2 = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1 - 18*j - 10*j + j. Let a be c(1). Let y = a - -5. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + -da599?\nAnswer: -da582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -80460*x**2 + 643680*x - 18. Give z(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 104*l + 1085. What is f(-11)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*f**3 + 136*f**3 - 69*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118397 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (1*-1 - (-69 + 23)\/23). Put 1, 14, h, 5, -1 in decreasing order.\nAnswer: 14, 5, h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 296157.5 to the nearest 100.\nAnswer: 296200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7*-15\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -618882, -618878, -618872, -618864, -618854?\n\"Answer: f**2 + f - 618884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -15, -11, -11, -15, -23?\n\"Answer: -2*r**2 + 14*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 343730 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p**3 + 4519*p**2 - 69*p + 13. Let s(r) = 11*r**3 - 2712*r**2 + 42*r - 8. What is 23*s(h) + 14*v(h)?\nAnswer: h**3 + 890*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 15, 2*u - 4*l + 16 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 698208 a multiple of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*(-3)\/(-15))\/((-7 - -17)\/10). What is l in -2\/15*l**3 - 2\/15 - p*l**2 - 2\/5*l = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*-6*1\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/7 - 8*y**2\/7 - 20*y\/7 + 24\/7 = 0. Calculate y.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2442 and -25\/215636.\nAnswer: 7115988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) - (-1995)\/175. Solve -4*v - 16 = y - 32, -r = -4*v - 2*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - -2. Let y = k + -0.3. What is the closest to -2\/5 in 5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*v = -271 - 459, -2*v = -4. Let y = k + -142. Solve -i + 0*f - y*f = -11, -3*i + 21 = 2*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (32 - 61 - -80)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -4312?\nAnswer: 4330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5221 - 5221 + 15*t - 3*t**2. Let w(y) = 9*y**2. Give w(l(s)).\nAnswer: 81*s**4 - 810*s**3 + 2025*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-15 + -1 - (7 - (6 + 9)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 48384\nAnswer: -1\/6912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 186, 5\/2 in descending order.\nAnswer: 186, 5\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*f - 12, 3*f - 12 = 10*c - 13*c. Solve 0 = -s + 5*i - 25, c = -s - 3*s + 5*i - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54b (base 12) to base 8.\nAnswer: -1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwqqqqlwwwwkqql. Give prob of picking 3 w and 1 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (215\/5)\/(((-5)\/3)\/(52\/546*-35))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14784*m - 1562. What is the tens digit of b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 19. Give b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (4 - (12 - 4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 2146.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k - 1)*(-k + 3*k**2 + k) + 3*k**3 - 6*k**3 + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -24*j**3 - 8*j**2 + 8*j + 8. Let p(a) = 16*a**3 + 5*a**2 - 5*a - 5. What is -5*l(z) - 8*p(z)?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5300846527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138*l + 1148*l - 188 + 188.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 8 + 2. Let a(k) = -4 + 2 - 2 + q + k. Determine a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let w(s) = 1743*s - 5305 + 2641 + 2664. Give w(h(n)).\nAnswer: -1743*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -3*p**5\/20 - 5*p**4\/4 - 4*p**3 - 6*p**2 + 2*p. Factor g(w).\nAnswer: -3*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -242*u - 15246. Determine f(-63).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6450034 millennia?\nAnswer: 7740.0408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 9*i - 33. Suppose -c = 2*c + 9, 0 = -2*w + i*c + 26. Solve -17*k + w = -12*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 5)*(-4 + d + 4) - 1 + 1 - 5*d + 1 - d - 1 + (4*d - 2*d - 3*d)*(-2 - 1 + 1) - 1 + 1 + d)*(-3 + 3 + 2*d**4).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -32, -43?\n\"Answer: -11*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 41, -5, 0, -10, 3, 26 in decreasing order.\nAnswer: 41, 26, 7, 3, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13998 divided by -3469?\nAnswer: 13998\/3469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/6 + 7*a**3\/6 + 4*a**2 + 25*a. Let r be j(-2). Suppose -2*n = -4*h - 832, -3*n = -r*n. Round h to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.3 - -18.3. Which is the closest to -2\/3? (a) u (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/((o\/o**(2\/15))\/o))\/((o*o*o*o**7)\/o*((o\/o**(-2\/7))\/o)\/o) assuming o is positive.\nAnswer: o**(-331\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2467 + -4?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128627 is divided by 42874.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -221. Suppose o = d*u + 10663, -2*o + 5*o + 4*u = 31937. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 7) to base 3\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -2. Suppose -s + i = -0*s. Find the common denominator of 62\/9 and s\/(-9)*1\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16 = 1414*w - 1413*w, -4*w = -3*f + 19. Find z, given that 3*z**4 + 3\/2*z - 3\/2*z**f + 0 - 3*z**2 + 0*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {z: 2, y: 5, j: 1, v: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417856?\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3653*w - 878*w - 24318 - 2868 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 + -72. Calculate the greatest common divisor of y and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 10 (b) -0.5 (c) 0.02 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + -1 - -4. Suppose -2*m - i*h - 147 = -5*m, -m + 35 = 4*h. What is the remainder when m is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 324.4 - 324.3. Let r = 7.3 - 7. What is the fourth smallest value in 2\/3, a, r, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - -25)*(-4 + (-220)\/(-56)) + 9?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002116 rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4742 - -4754. Solve k - 4 = -g, 8*k = 3*g + 3*k - p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j**2 + 4*j - 5. Calculate the remainder when d(2) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38156.12 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -945\/419?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**2 + 8*t**2 - 120*t**2.\nAnswer: -97*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8 + 11 - 6*i + 5*i + 9. Let l be c(7). Suppose 5*j - 2*j - 9 = 0. Solve l*p + j*f = 6*f - 13, 5*p = 2*f - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 248 = -2*i, -29 = -2*r - i + 63. Suppose 6*o - r = 2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let w(x) = 13*x + 6. Let m(n) = 14*n + 7. Let a(u) = 5*m(u) - 6*w(u). Calculate -a(k) + 5*c(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6324*l + 3527. Is c(-71) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(200) + 2 + sqrt(200)) - (2*(sqrt(20)*3 - sqrt(20)))\/sqrt(10).\nAnswer: -44*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -821 + 823. Which is the second smallest value? (a) 19 (b) n (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = 1234*l - 1244*l - 12*b - 36, 12 = -4*l + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085 divided by -5965?\nAnswer: -417\/1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16767029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n + 68. Determine p(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4\/77 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1353 or -2703\/2?\nAnswer: -1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(55)\/(sqrt(20)\/sqrt(4))))**2*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*4\/(-6). Let n be (3\/(-2) - -3) + -3. Let u = 3 + -2. Which is the closest to u? (a) -0.1 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-500)\/240 + (11 + -1)\/5. Which is the fourth smallest value? (a) w (b) 5 (c) -1 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/13800 and 79\/67206.\nAnswer: 6720600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 58065*b**2 + 116133*b + 58067.\nAnswer: -(b - 58067)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -33, -50, -67, -84, -101?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 1050*t**5 - 55329*t**4 + 905643*t**3 - 4722315*t**2 - 94809*t = 0.\nAnswer: -1\/50, 0, 13, 187\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -215.\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 3*j + 1, -5*q - 5*j = -30. Suppose 5*r - 65 = -4*l, q*l + 41 = 3*r + 4*l. Calculate the remainder when 23 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13072297 and 35?\nAnswer: 65361485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 1, w: 4, i: 3}. What is prob of sequence pww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 2*b**4 - 2*b**4)*(b - 4*b + 0*b + (0 + 1 + 1)*(3*b - b - 3*b)).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 198\/(-8)*(7 + -23). Suppose 14*r = 8*r + o. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1190\/(-42))\/17)\/((-4)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m + 1. Let v(t) be the third derivative of 0*t**3 + 0 + 1\/30*t**5 - t + 0*t**4 - 14*t**2. Give v(z(k)).\nAnswer: 72*k**2 - 24*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 179311?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5 + 3 - 15)*(-5*x + 6*x + 5*x)*(-3 + 3 + 2).\nAnswer: -24*x**2 - 84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9949000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 4)*(-3)\/(-2). Suppose -o*r = 0, -2*u + 207 = u + 5*r. Let g = -47 + u. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 3*p - 2. Let b be n(2). Let y be (-239)\/b + (-3)\/4. Is (-1)\/(-1) + 5 + y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1745*u**2. Let r(d) = d. Determine h(r(c)).\nAnswer: 1745*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = 0. Suppose h = 2*x - 5*z - 148, 0 = 4*x + 2*z - 0*z - 344. Suppose -3*d + x = d. Calculate the remainder when 83 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h + 4*h**2 + 10 + 3*h + 5*h**2. Let g be j(-9). Let l = g + -173\/9. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**8\/168 - 19*p**5\/60 + 9*p**2. What is the third derivative of j(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 120*i - 17. Let n(v) = 182*v - 24. Let d(f) = -5*n(f) + 7*q(f). Let h(b) = 148*b - 51*b - 48*b - 48*b. Determine d(h(k)).\nAnswer: -70*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -1. Let f = h + 8. Suppose 2*l - o - 44 = 0, f*o - 12 = -o. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 174, 387, 602, 819, 1038?\n\"Answer: p**2 + 210*p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(300) + sqrt(300)*-2))**2 + -1.\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7448819 milligrams to micrograms.\nAnswer: 744.8819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 9, 5.\nAnswer: -1, 5, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -3 - 1\/12*w**4 + 2\/9*w**3 - 1\/6*w**2 + 0*w. Solve j(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 - -5. Let o = 0.3 + p. Let g = -19\/15 - -3\/5. Which is the second smallest value? (a) o (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438360 by -43.\nAnswer: 438360\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 + 524*m + 221. Is o(90) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -343*g**5 - 931*g**4 + 8778*g**3 - 9990*g**2 + 4077*g - 567 = 0. Calculate g.\nAnswer: -7, 3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3151*c**3 - 13318*c**3 + 3898*c**3.\nAnswer: -12571*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-62)*4\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.74 - 2.37. Let b = 0.01 + 0.1. Let o = m + b. Is 1\/2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {d: 6, n: 5, q: 1, m: 1, g: 1, r: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 591411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60476863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 50822079.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/29 - -9) + ((-2)\/(-6) - (-40)\/6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784 = 94*f + 129*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 1085 - 10*y**2 + 1085.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:32 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 - -387. Which is bigger: f or 206?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 22*l**3 - 40*l**2 - 33*l + 137. Let r(m) = 7*m**3 - 13*m**2 - 11*m + 44. Let h(t) = 6*p(t) - 19*r(t). Calculate h(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1275 from -0.5.\nAnswer: -0.3725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -210, -383, -556?\n\"Answer: -173*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.47 - 0.4696. Round h to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4824554 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000001010001101 (base 2) in base 7?\nAnswer: -2535145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (1 - (4 + -7)). Suppose 2*b - 3600000 = u*b. What is b rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.066? (a) -3\/2 (b) -13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 8*c + 1. Suppose -4*i + 4*d = -40, 0 = -5*i - 6*d + d + 20. Give z(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2478 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = m - 1290, 631 + 647 = 3*f + 3*m. Calculate the greatest common divisor of f and 5328.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0 + 1\/6*g**4 - 4*g**2 - 1\/6*g**3 + 0*g. What is the first derivative of y(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*q - 22. Find s such that -8*s**2 + 73*s**3 + 8*s - q*s**3 + 28*s**4 + 52*s**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*f = -91, 505*f = 2*b + 501*f - 66 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 69*t\/4 + 71\/2.\nAnswer: -(t - 2)*(t + 71)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -1bd?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -2 - (-1 - 39 - (-226 + 202))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(252)*1 + sqrt(7))**2.\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114084*q**4 - 16227*q**2 - 21*q.\nAnswer: -2738016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 23*w**6\/30 + 5*w**4\/3 - 26*w. What is the third derivative of q(u) wrt u?\nAnswer: 552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*w - 6. Let j(c) = -48*c. List the prime factors of j(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/40644960 and -151\/755996256.\nAnswer: 3779981280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*v**3 - 242998 - 242985 + 485983.\nAnswer: 214*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10023 + 1?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 12. Suppose z - 6 = p, 2*p + 4 + 12 = n*z. What are the prime factors of 1 - (-10 - z\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109.6 + 110. Let x = -0.38 + 0.48. Sort x, 0, a, -0.1 in descending order.\nAnswer: a, x, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-84)\/14)\/(2*-1). Solve -y*w + m - 18 = 0, 4*m - 7*m = -3*w - 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285781358.\nAnswer: 2, 142890679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -20989.\nAnswer: -3\/20989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001553865101 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262464240.\nAnswer: 2, 5, 28280803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 2*b + 4*b + (17233*b - 8549*b - 8524*b)*(-3 + 6 - 2).\nAnswer: 162*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243513 is divided by 1212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*h = -142*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.5 + -1.5. Let w = -29.19 - -33.19. Which is the nearest to n? (a) -5 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110202133 (base 4) to base 9.\nAnswer: -137354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -252605 or -33\/10?\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1936 by -44.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a + 40. Let x be (-3 + 1)*20\/a. Let b(z) = z**2 - 3*z + 3. Let h(o) = -2*o**2 + 5*o - 5. Determine x*b(v) - 3*h(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 21 = 6*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-24)*27\/(-12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 542036 (base 7) to base 12\nAnswer: 46728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127309166?\nAnswer: 2, 109, 397, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let d(c) = -122*c - 79*c + 201*c + 7779*c**2. Determine x(d(n)).\nAnswer: 15558*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/60)\/((-2)\/28). Let f = 5\/6 + v. Let l = -7.1 + 7. What is the nearest to 1 in -5, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88015 or 8?\nAnswer: 88015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Let w = -1119\/8 + 140. Is w equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211002021 - -11?\nAnswer: -1211002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*(sqrt(156) + sqrt(156)*-3 + sqrt(156) + sqrt(156)))\/sqrt(12) + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**3 + f - 3*f + 2*f**3 in the form d*f**3 + a + h*f**2 + r*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2.33.\nAnswer: -1.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b6 + 0?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - -5*-2*sqrt(448))\/(sqrt(16)\/(sqrt(324)*1 + sqrt(324) + sqrt(324))).\nAnswer: -972*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -135*r. Let k(c) = -10*c**2. Determine v(k(y)).\nAnswer: 1350*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -66.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 6, -534, 0.01, -4 in increasing order.\nAnswer: -534, -4, -0.16, 0.01, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = o, -3*o - 24 = -5*o + 2*u. Suppose 4*l = -o*l - 14. Let b(q) = 2*q**3 - 2*q**2 - 2*q - 1. Let z be b(l). Which is smaller: z or -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 > -312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17130, 69910, 157862, 280974, 439234, 632630, 861150?\n\"Answer: -2*n**3 + 17598*n**2 - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u**2 + 9*u + 17. Let n be d(-3). Let k = 127 - n. Solve 10 = 2*y, k*x = -3*x + 2*y - 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2 + (3 + 2 - 1)*(-5 + 3 + 1))*(2*w**2 + 2 - 2) to x + r*w + j*w**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -336?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/21 (c) 247 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.08818 rounded to one dp?\nAnswer: 321.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(931) + 5*(1 + sqrt(931)))**2 - ((sqrt(931) - (-5 + 1 + sqrt(931)))**2 + 0)) + -1.\nAnswer: 420*sqrt(19) + 33529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/20 + (9 - 56\/8)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7233845 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -85*4\/(-20)*13. Let d(c) = -218 + 667 - h - 224. Let i(t) = -t**2 - t - 12. What is -7*d(p) - 2*i(p)?\nAnswer: 2*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -12)\/((-4)\/(-14))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -181579775 from 3412.\nAnswer: 181583187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -428\/7 + 61. Suppose 3*y = 2*o + 2, 4*y - 2 - 2 = 2*o. What is the third biggest value in l, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-3))\/(8 + -16)*69942 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79355 at least 399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23.55*-3.8\nAnswer: -89.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -3301?\nAnswer: -3253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 24 = -3*f + y, -2*y + 39 = f. Let z be (10\/(-15))\/((-2)\/f). What is the highest common factor of 121 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 >= 31792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -g + 21, 0 = -180*g + 179*g - 4*k + 28 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 + -0.06. Is 0.1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u**2 + 15*u**2 - u - 7*u**2 as v*u + g + c*u**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*l**2 - 3 + 1 + 2 to s*l + g + h*l**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181\/10 + -37\/2. Suppose -4*i + 9 = -0*i + 3*j, -9 = i - 3*j. Suppose 2*g - f - 5 = i, -f + 0*f - 5 = -4*g. Which is bigger: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (136\/340 + 4\/(-10))\/(1*2). Solve i = 2*d + 3*f - 70 + 51, -f = 4*d - 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/234 and 31\/1404.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y + y**3 - 18*y - 5*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/43155 and -8\/165.\nAnswer: 474705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 70 + 18. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 17*a**2 - 6*a**2 + 26*a**2 - 2*a**2 + 0*a + 0*a + (a + 0*a + a)*(-4*a + 3*a + 0*a) as s + x*a**2 + q*a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -2\/63*q**3 + 121 + 5\/7*q**2 - 4\/3*q. Let a(c) = 0. What is c?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 7237*m**2 - m**3 + 30867*m**2.\nAnswer: m**3 + 38104*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4425*n - 1057 - 374*n**4 - 4424*n + 192 - 3*n**2 wrt n?\nAnswer: -8976*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3374366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9549273733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**3 + 0*c**5 - 2 + 0*c**2 + 53*c + 0*c**6 + 0*c**7 + 137\/28*c**8 + 55\/6*c**4. Find the third derivative of p(o) wrt o.\nAnswer: 32880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7485 (base 11) to base 2.\nAnswer: 10011010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*(sqrt(100) + sqrt(100)*-2) - sqrt(100))\/sqrt(5))\/(-1*sqrt(484)*4)*-5.\nAnswer: -125*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1010)\/90 - 4\/(-18). Are r and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o + 21*o - 170*o + 16 - 16.\nAnswer: -71*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 4*a + 4. Let r = -6 + 9. What is the lowest common multiple of 24\/10 - 2\/5 and p(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u - 9 = 0. Let x = 5 + u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*326.\nAnswer: -2934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) -2\/5 (b) 348.06 (c) -0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*r - 127 = -2*r, -3*w + 122 = 4*r. Suppose w*m + 98 = 36*m. What is the highest common factor of 784 and m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 39980718.\nAnswer: 279865026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (416 - 399) + 0 + -17 - 19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453510 less than 39.997466?\nAnswer: -2453470.002534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-58*b**2 - 3 - 3 + 54*b**2).\nAnswer: 8*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*f**3 + 22*f**4 - 57*f**3 + (4 - 4 - 1)*((0 + 3 - 2)*(-3*f**4 - 2*f**4 + 4*f**4) + 4*f**3 - 4*f**3 - 2*f**4 + 28*f + 12*f**4 - 15*f - 14*f).\nAnswer: 13*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 32.974. Let v = 2.03782 + -0.03782. Which is the third biggest value? (a) 1\/4 (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 1)*(-6*j + 3 - 4 + 2*j) - 3*j - 2*j + 8*j.\nAnswer: 23*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3453812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9782443 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25056 and 261.\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 11*c**2 - 27*c + 6. Let h be p(-13). Suppose -h = 6*r - 25. Let b(m) = -5*m - 1. What is b(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avjljbjbbjjjljbj. Give prob of sequence lvl.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)\/w)**(-13) assuming w is positive.\nAnswer: w**169","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e49 (base 16) in base 9?\nAnswer: 42650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*c - 0*d + 25, 4*c - 4*d = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 3 + 1\/3*b**3 + b**4 + 0*b**2 + 0*b. Find the third derivative of f(g) wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbbtttttttt. Give prob of sequence ttbt.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11118391 + -0.4.\nAnswer: -11118391.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*-3*(-2 - -1). Let q be (-24)\/(-18) - (2 + (-56)\/21). Let y = -2.056 + 0.056. Which is the closest to q? (a) m (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 1, -4, -15909.\nAnswer: -15909, -4, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -422548?\nAnswer: 464802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.2 (c) -1 (d) 6749 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqiq. What is prob of sequence iqi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110111110100 (base 2) to base 3.\nAnswer: 10111210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 8*g + 10. Let u be a(7). Suppose 1 = -c + u. Find the second derivative of -l**c + 2*l + 1 - 1 wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1068 (base 12) to base 2.\nAnswer: -11100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/13, -249, -46, 10?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, 2.599, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6788, -13756, -20712, -27656, -34588, -41508, -48416?\n\"Answer: 6*o**2 - 6986*o + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**4 - 4*o + 9. Let l(g) = 6*g**4 - 5*g + 9. Let x = 55 + -60. Let w(z) = x*s(z) + 4*l(z). Differentiate w(c) wrt c.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1)*(1 - 0). Let z be (2\/5)\/(10\/(-25325)). Let h = z + 1018. Solve -6 = -h*d - r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t + 57 - 29 - 28.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/(-210)*36\/(-24). Which is the smallest value? (a) w (b) 9 (c) -0.1 (d) 4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40287361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032707 is divided by 579.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knn when three letters picked without replacement from {c: 4, n: 3, x: 3, q: 6, k: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*c + 8080 = 0, 6*t - t - 4*c - 10096 = 0. Suppose 7*y = 15*y - t. Is y a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27*-3)\/(4\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.048497 * 989\nAnswer: 47.963533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w + u + 6, -5*w + 2*u + 9 = 0. Let k = w + 0. Find the first derivative of -4*p**2 + k + 2*p**2 + p**2 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i*(i**(-35)\/i)\/i)\/i)\/i)\/i**(-1\/2) assuming i is positive.\nAnswer: i**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*c**4 + 2*c**2 - 6*c - 13?\nAnswer: 264*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -61*t**2. Let j(q) = 2*q + 5. Let h(o) = -8*o**2 - 10*o - 25. Let z(n) = -h(n) - 5*j(n). Give z(m(u)).\nAnswer: 29768*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*v**5 - 23*v**2 + 1?\nAnswer: -1620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 64*r. Let t(b) = -2*b + 796. Determine t(u(q)).\nAnswer: -128*q + 796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11885866*n**3*s**3 + 51875*n**3 + 18*n*s**4 - 478*n*s**2 - n wrt s?\nAnswer: 71315196*n**3 + 432*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = n - 8, -4*n = 4*g + 5 + 3. Let d = 0 + 2. Suppose d*w = n + 1. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpajaptgptagaa. Give prob of sequence nnt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 37425?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15045 and 127145?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001100 + 110?\nAnswer: 10001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 52 = 3*k + 26 + 41, 29*k + 145 = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -400, -740, -1026, -1264, -1460, -1620?\n\"Answer: -s**3 + 33*s**2 - 432*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/5 - 4488*y\/5 + 4487\/5 = 0. Calculate y.\nAnswer: 1, 4487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:40 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxxxxxxxxxx. What is prob of picking 2 x?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - 10) + (-18)\/27 and (-2)\/3 + (-17)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 435*222\nAnswer: 96570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 2*x - 55. Let d = x - -83. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-4) - ((-436)\/468 + 3). Let x = l + -1318\/117. Calculate the common denominator of -39\/2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/483 + -17492\/161. Let t = 104 + w. Find the common denominator of (3 + -1)*(-8)\/((-256)\/20) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1480\/160)\/(6735\/(-16900) - 4\/(-10)). What is the highest common factor of 507 and y?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1586 - 231. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 48*h**2 - 5*h - 9. Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 2:37 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t - 3*c, 0*c + 4*c - 6 = 5*t. Suppose t*x = -16 + 4. Let k(i) = i**3 + 5*i**2 - 5*i + 1. Determine k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1215\/38 + -118289\/190. Let q = w + 593. Find the common denominator of q and -15\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11955363?\nAnswer: 3, 7, 167, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129940 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfmmcfeelefeleclmell. What is prob of picking 1 l, 1 m, and 2 e?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (2\/6)\/((-5)\/(-495))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z. Let a(u) = -2152*u**2. What is t(a(g))?\nAnswer: -15064*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let c(a) = -52*a**2. Calculate c(i(w)).\nAnswer: -52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(242) - sqrt(242)*-1 - sqrt(242))*1)**2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 19 - (1 + 0 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q + 75. Let g(p) = 13*p + 149. Let c(m) = 6*g(m) - 11*x(m). Calculate the remainder when 187 is divided by c(-22).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:53 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -1135?\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-113384)\/720 + (-2)\/9. Let y = q - -158. Calculate the common denominator of 11\/48 and y.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 = 480*z - 1800 - 356 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 0.3, 0.1, 38?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -6. Suppose -11*p = -t*p - 10. Suppose -4*k + 2*f = -5*k + 1, 2*k - p = 2*f. Put -3, k, 0 in decreasing order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*o - 53, -4*o + 0*a = -3*a + 31. Let n be o\/35 + (-206)\/14. List the prime factors of (-2 - -5)\/((-3)\/n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlhllvcvhchlhvhol. Give prob of sequence vhh.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 g, and 1 y when four letters picked without replacement from vqgygqq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*l - 7 = -1, 3*l - 9 = 0. Put o, 3, 8 in increasing order.\nAnswer: o, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 + 0 + 57*p**2 + 54*p**2 - 9 + 10 + 1 - p**3 as f*p**4 + c + w*p + z*p**3 + v*p**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 1. Let v(q) = 2 + 8*q - 9*q - 5 + 6*q. Let u(r) = -18*f(r) - 4*v(r). Find the first derivative of u(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39861 and 66?\nAnswer: 876942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 32*k**2. Let c(z) = 4*z + 1. Let u(h) = -h - 1. Let b(g) = -c(g) - 3*u(g). Let p(j) = 4*j - 9. Let f(i) = 18*b(i) + 4*p(i). Give v(f(s)).\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/10, -3\/115, 0, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60965 - -60964.99972359. What is s rounded to six decimal places?\nAnswer: -0.000276","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26728000 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20552, 41379, 62206, 83033, 103860?\nAnswer: 124687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -278799*i - 3. Let m be y(-8). Let k = m - -10569611. What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1428368 is divided by 476103.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 + -144. Let p be 40\/(-6)*12\/(-10). Suppose -2*v - p = -6*v. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/10)\/(7\/105). Suppose -p = 3*p - m. Let u(i) = i - 3. What is u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -9*p**2\/5 - 6*p\/5 + 3\/5 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 6190.3714.\nAnswer: 619.03714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t - 369. Let k be l(36). Let z(a) = a**2 - 2*a + 81. Calculate the lowest common multiple of 72 and z(k).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 48.98. Let m = 590\/29 - 35197\/1740. Let g = m + 2\/15. Sort 0, a, g in decreasing order.\nAnswer: g, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-338)\/52*(7\/3)\/((-406)\/(-348))*-1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 51*n**2 + 12*n - 954. Let o(u) = 34*u**2 + 8*u - 635. Let m(y) = 7*o(y) - 5*s(y). Differentiate m(f) with respect to f.\nAnswer: -34*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -552*n - 798*n - 7177*n - 1870*n in the form s + o*n and give o.\nAnswer: -10397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l - 5*w, -l + 2*w - 27 = -23. Let n(r) = r**3 + 6*r**2 + 5*r + 2. Determine n(l).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 1:42 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166751\/12 - 13904. Calculate the common denominator of 19\/6 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1715 - 1085. Find y, given that 24*y + 375*y**5 + v*y**3 + 86*y**4 - 1080*y**4 - 204*y**2 + 169*y**4 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3102 and -73864.\nAnswer: -229126128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 786*l - 30551. What is m(41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-27)\/(-9)))\/(1276\/(-232))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237478.\nAnswer: 2, 118739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 + 4. Let c(s) = 3*s**2 - s. Let t be c(1). Let b(h) = -3*h**3 + 4*h**3 + 3 - 7*h**t + 7*h**2. Determine 4*b(j) - 3*u(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-154) - (-1461)\/(-11). What is the tens digit of (-2)\/1*(-9)\/6 - y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 times -0.1?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3 - 108*q**2 - 855*q + 2166 = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173451931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 14*v + 8. Calculate q(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.19798 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1018*z**3 + 6*z - 6*z - 1012*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/31 (b) 3 (c) -2\/183 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 3*n**2 - n. Let v be h(3). Find the common denominator of v\/90*(-30)\/8 and 43\/(-10) + 9\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/60 + g**4\/2 - 19*g**3\/3 + 7*g**2 + 2*g. What is y(-13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(36) - sqrt(252)\/(sqrt(28)\/sqrt(4)))\/(sqrt(12) + sqrt(300) + sqrt(300) + -2*sqrt(300)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide (1 + (1 - 1))*681433\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v, 0 = 5*d - 4*v - 228 - 176. What is the second derivative of -158*b**3 - 10*b + 1 + d*b**3 - 53*b**4 + 78*b**3 + 2*b**2 wrt b?\nAnswer: -636*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/83313067 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/853 - 1629\/5971. Which is the third biggest value? (a) z (b) -3.1 (c) 7 (d) 5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 22, 3, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*t - 19*t. Let s(k) = 11*k**3 - 2*k**2 + 1. Let m be s(1). Calculate the greatest common divisor of m and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/33*11)\/((-4)\/96*-414).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in 0.41, 10, -3, -1\/4, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**5 - 4*o**2 + 4*o**2)*(6 - 15 - 18).\nAnswer: -162*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*6 - 9\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*b = -k - 14, 4*b = -4*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11112212120 + -12?\nAnswer: -11112212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2370 divided by 3.\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 43. Calculate the remainder when h is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, -17, 4 in increasing order.\nAnswer: -17, -4, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 7*o**2 + 6*o - 4. Let v be t(-5). Let r be v\/4*6\/8. Calculate the remainder when 36 is divided by (13\/1)\/(r - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3)*16\/(-80) - (-9)\/15. Which is the fifth smallest value? (a) 3 (b) 2 (c) u (d) -0.2 (e) -23.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*2\/((-24)\/15).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 3. Let y be (-58)\/4*(-3 - -1). Let z(g) = g**2 + 29*g + 3 - y*g. Let m be z(0). Calculate h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5584 + -2768. Let k be l\/30 + (-2)\/(-15). Suppose 14 = -5*z + k. What is the smallest common multiple of z and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-4) + (248 - 44). Suppose 5*g = 4*u - 302, u - 5*u + 4*g + 304 = 0. Calculate the greatest common factor of u and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 2*q**3 - 4*q**2 - 7*q**4 + 14*q**3.\nAnswer: -4*q**2*(q - 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*1*52\/(-3). Let o be ((-10)\/(-25)*5)\/((-46)\/(-69)). Factor k*x**o + 9 + 64\/3*x**4 + 84*x**2 + 45*x.\nAnswer: (x + 1)*(4*x + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14572, 116815, 394332, 934759, 1825732, 3154887?\n\"Answer: 14606*v**3 + v**2 - 2*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 164662, 165216, 165770, 166324, 166878?\n\"Answer: 554*g + 164108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q**2 + q - 4. Calculate the remainder when 18 is divided by b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-4)*4*(-1)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 210 = 7*q. Solve -q = 7*p + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 13*b**7\/840 - 5*b**4\/6 - 2*b**3\/3 - 27. Let o(u) be the third derivative of s(u). Differentiate o(x) wrt x.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 21, -2\/13, -1\/13, -12 in ascending order.\nAnswer: -12, -2\/13, -1\/13, 3\/7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -110583672 - 2?\nAnswer: -110583674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + 716\/308 - (-306)\/(-1683)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 39 + q**2 - 30)*(0*q - 2*q + q)*(-12 + 12 + 7*q**2).\nAnswer: 7*q**5 - 63*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*t + 10 - 34 = 0, 3*m - 16 = 2*t. Let z be m\/12 - 51\/(-18). Suppose 3*d - 35 = 3*k - 7*k, -5*d = z*k - 40. Solve -w + d = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131017?\nAnswer: 37, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1299 and 2792417.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2818 + 2.4.\nAnswer: 2820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34110)\/3411*1\/545?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 + 6 - 5. Let j(v) = -2*v + 5. Let o(m) = -2*j(m) - 10*s(m). Let w(l) = -2*l**2. Calculate w(o(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)\/((-13)\/1300). Suppose 5*r + 4*j - t = 0, -j - 85 = -5*r - 2*j. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*x + 11 = 0, x - 7 - 1 = 5*b. Suppose 3*u + 2 = 2*l + 1, -3*u - 5 = -4*l. Let f be (-1 - -3)\/((l - 2) + b). Sort f, 1, -1, 5 in increasing order.\nAnswer: f, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + 8*d - 10. Let m(p) = 5*p**2 + 12*p - 15. Let y(k) = -8*b(k) + 5*m(k). Let i(r) = 3*r**2 - 11*r + 15. Give -4*i(x) + 11*y(x).\nAnswer: -x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 59 - 7\/120*k**5 - 1\/4*k**3 + k - 5\/24*k**4 - 1\/180*k**6 + 0*k**2. What is a in h(a) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 3*g + 2*g)*(40 - 10 + 33) - 66*g - 28 + 28 to the form b*g + y and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1052*d**4 - 154 - 9*d + 68 + 77 wrt d.\nAnswer: 12624*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*f + 1, 5*f + 23 = 5*l - 2. Let b be (-3)\/6*(0 - l). Let m(z) = 7*z - 2. Let o be m(b). Solve -7*j + 3*j - o = -4*h, -3*j = -5*h + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 37*a + 333. Calculate m(-10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:27 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 41*r**2 - 70*r + 23. What is the tens digit of p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 73 + 55 = -2*v, -314 = -5*u - v. Suppose -u*h + 57*h = -336. What is the remainder when h is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28321*c**3*f**6 + 2*c**3*f**2 + 1657 wrt f.\nAnswer: -3398520*c**3*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/18 - 104\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 282*t - 1. Let f(s) = 136*s**2 + 727. Give c(f(p)).\nAnswer: 38352*p**2 + 205013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/420)\/(9\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 2. Let k be q(2). Let i = -5 + 5. Let v = 0 - i. Which is the third biggest value? (a) k (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5460 and 52500?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2007 = 5*v, 2*a = -3*a - v + 4950. List the prime factors of a.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3335 (base 7) to base 13.\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(-22)*(-18)\/(-9). Let g = -109\/4 - -989\/36. Let t be (2\/(-6))\/((-10)\/75). What is the biggest value in t, y, -1\/7, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t - 235. Let c be y(-8). What is the units digit of 5\/((-35)\/c) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, b: 8, k: 1}. What is prob of sequence kj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*(sqrt(931) + sqrt(931) + -2) + -5 + -5)*3)**2.\nAnswer: -163296*sqrt(19) + 4852548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91.662 * 4.\nAnswer: -366.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i - 5*i)*(4*i + 2*i - i).\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - 3*d - 66, -n + 16 = 2*d. Suppose -11 = -2*z + u + 2*u, n = 4*u. Suppose 2*i - m - 10 = 2, -z = -i + 4*m. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 12. Suppose 0*k - 1 = k. Is j greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/85 - 79\/255. Let p = -2.81 - 337.39. Let l = p - -340. Sort b, -2\/13, -0.5, l in descending order.\nAnswer: -2\/13, l, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*8\/(-12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2253, 5, -5, -80 in ascending order.\nAnswer: -80, -5, -1, 5, 2253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f - 10*f + 2*f**3 - 15*f - 11*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 337?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5 - 2 + 6 + 9*y - 2. Give i(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -3, 0.2, -9\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 104. Is 42 a factor of 5\/g + (-15864)\/(-96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 22212211?\nAnswer: 22212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37)\/(-222) + 38398\/12. Suppose -88*n + q = -78*n. Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119\/(-170) + (2 - 2 - (-12)\/240*4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211211 - -102012300?\nAnswer: 102230111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 28 - -10) + -31 - -85?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 242*q**3 - 62 - 162 - 237*q**3 as h*q**2 + a*q**3 + z*q + w and give w.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.906 * 1348.\nAnswer: -2569.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10. Let i(g) be the first derivative of 19*g**3\/3 + g**2 + g + 2. What is the units digit of i(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 1. Let c be (-23)\/(-7) - 2\/7. Let r be b(c). Suppose 4*t - r*t - 22 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/(q**5\/q))*q\/(q\/(q\/q**(-10\/7)))*q)**(-42)*((q\/(q**8\/q))\/q)\/(q*q**(1\/5))*q*q\/q**(5\/2)*q*q**(-1\/5) assuming q is positive.\nAnswer: q**(-2359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*(-12)\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182564.\nAnswer: 2, 45641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1297555 + 1297067 = -122*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 3. Let i(y) = y**2 - 4*y - 2. Let w(a) = 3*i(a) + 2*s(a). Let b(n) be the first derivative of -4*n**3\/3 + 3*n**2\/2 - 96. Give 2*b(m) + 3*w(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let f(h) = 8*h**2 - 4. Let n be f(x). Calculate the highest common factor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 c when four letters picked without replacement from vvvccvvc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -239, -802, -1903, -3722, -6439, -10234, -15287?\n\"Answer: -30*a**3 + a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -171, -348, -525?\n\"Answer: -177*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (106\/(-3))\/(4\/12). Let k = -38 - s. Suppose k = -3*p + 140. Calculate the lowest common multiple of p and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cacccka.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/11, 0.07, 2, 7 in decreasing order.\nAnswer: 7, 5, 2, 2\/11, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -7*y**4\/24 + 4*y**3\/3 + 3*y**2 + 11*y. Let k be h(-1). Solve k*q + 85 = 25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 + 17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(3339513*a**3 + 16*a**5 - 3339513*a**3 - 74*a).\nAnswer: 16*a**5 - 74*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 10) to base 14.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1949 + 21770 = 3*m, 2*k = -m + 9913. Is 57 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/5, -3\/7, 3\/5, -2, 69 in descending order.\nAnswer: 69, 3\/5, 0.3, 1\/5, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12020065 is divided by 19705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-2)\/(-4)*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 3*k - 7*k - 5 + 5 + 4*k + (-1 - 2*k + 1)*(-2 + 3 - 3) + 0*k + 4*k - 3*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1148*b**5 - 422*b**2 + 22*b. Let h(q) = -q. Let d(n) = 44*h(n) + 2*w(n). What is the third derivative of d(a) wrt a?\nAnswer: 137760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-3))\/(1\/2). Suppose -4*c = w*s - 24, 2*s + 4*c - 18 = -0. Solve 3*n + 9 = -5*p, 15 = -3*p - 2*n - s*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20603 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 15*a + 6. Let v be p(-15). Suppose 2*c + v*c = 1592. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 560 = -5*n + 2*u, -4*n + 484 = -5*u. Suppose -n = -23*w + 160. Solve 6*z - w + 0 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 25 = -3. Suppose 0 = 6*o - a*o + 10. Solve 5*w = 7*g - o*g + 40, 20 = -3*g + 2*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*-4*(sqrt(192) + sqrt(192)*-1 + sqrt(192) + 4) + 0)*-2)**2 + -3.\nAnswer: 1327104*sqrt(3) + 4313085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 110\/2*1\/(-4) and (-6)\/4 + (-10 - 913\/(-77))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/15, 1, -303\/7, 5\/11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 2*t**2 - 28*t + 3 + 3 + 31*t. Let f(u) = u**2 - 2*u - 5. Calculate -5*f(b) - 4*k(b).\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c6420 - -15?\nAnswer: -c640b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26166996.\nAnswer: 2, 3, 73, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 40. Calculate the remainder when 98 is divided by r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/6 + 65*m**5\/4 + 1360*m**4\/3 + 2560*m**3\/3 - 728*m. Factor p(i).\nAnswer: 5*i*(i + 1)*(i + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5302.024 to the nearest 10.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -7711?\nAnswer: -7709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 176*d + 121*d - 294*d)*(4*d - 5*d + 4*d)*(2 + d - 2*d + 3*d) in the form w*d**3 + u + k*d**2 + c*d and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, 14, 25, 36, 47?\n\"Answer: 11*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6571\/1876 - 462\/67. Find the common denominator of -25\/126 and d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535400 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**3 - 14*y - 6. Let x be (-9 - 0)*(-4)\/(-6). Let i(h) = -h**3 - h**2 + h. Let w(a) = x*i(a) - d(a). Is w(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 24, -26\/7, -12?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.149 and -5?\nAnswer: -10.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 1654669.\nAnswer: -15\/1654669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:43 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-15))\/((-158)\/(-395))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66, 84, 104, 126, 150, 176?\n\"Answer: q**2 + 15*q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -172*c - 22243. What is f(-130)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 - 1800*n + 1803 = 0. Calculate n.\nAnswer: -601, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -101225, -4, 0.\nAnswer: -101225, -75, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10746 divided by -14.\nAnswer: 5373\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13851922 plus -67715?\nAnswer: -13919637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:56 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828711.\nAnswer: 3, 13, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -443, -479, -515?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2724, -2, 2 in descending order.\nAnswer: 2724, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 2*d + 19. Suppose 3*b - 7 = -1. Suppose n + n = k + b, -2 = -4*n + k. What is the units digit of w(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 9*d**2 + 20*d - 26 - 28*d)*(3 + 4 - 4).\nAnswer: -27*d**2 + 3*d - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, t: 14}. Give prob of picking 2 t.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 304077, 304285, 304493, 304701, 304909?\n\"Answer: 208*u + 303869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -8.6.\nAnswer: -60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3191 + -3188. Suppose g + a - 128 = 62, -170 = -g - 5*a. What are the prime factors of (-4*g\/(-18))\/(2\/r)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 11 = 3*c, 189*o - 8 = 179*o - c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:14 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 + 17051*d + 6049084. Determine h(-3008).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 4*w**2 - 3*w**2 + 6*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/9 (b) 3\/4 (c) -4\/5 (d) -1.1 (e) -4 (f) 22\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9285990 to the nearest integer?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5*j)*(-17*j**2 - 26*j**2 + 15*j**2) - j**3 + 2*j**3 + 0*j**3 - 3*j + 2*j**3 + 3*j.\nAnswer: -137*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Suppose 11 = 25*u - 39. Let d(i) = 3*i + 6. Let w be d(-3). Put u, w, p in decreasing order.\nAnswer: u, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqrfrrfffffqfrfrffr. What is prob of picking 2 r, 1 q, and 1 f?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266681 is divided by 88877?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {z: 2, t: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 482681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 - 20*d - 12. Let g be h(-5). Let m = 63 + g. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2 = 0, -v + 2 = 2*k - 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-185)\/(-4) + (85\/(-20) - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Suppose -o*j - 16 = -j. Let m(x) = x**3 + 7*x**2 - 8*x + 7. Let z be m(j). Solve -20 = 2*y - z*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + k = 413 + 222, 2*p = 3*k + 271. Solve -p*a - 20 = -133*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 183.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)*(n**(-2\/7)\/n*n)\/n)**(24\/11) assuming n is positive.\nAnswer: n**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -306949, -2 in descending order.\nAnswer: -1, -2, -306949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 2*u**2 - 7*u**3 + 2*u + 23)*(0 + 2 - 3).\nAnswer: 7*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23976794 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 133. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 62*h - 55. Let j be o(1). What is the third biggest value in 24, j, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/5*n**2 + 0*n - 3\/5*n**4 - 6\/5*n**3.\nAnswer: -3*n**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-2)\/((-4)\/(-40)*(-25)\/270)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 3*z + 0*z**2 + 0 - 2\/3*z**3 - 1\/6*z**4. Suppose r(v) = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-84)*1\/1*2. Let l = 0.4 + -0.2. What is the biggest value in l, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/20)\/((-20)\/50)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffffvfffffv. Give prob of picking 1 v and 1 f.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 679 - 1012 - 934 + 5*g to r*g + p and give p.\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51.56103 nanometers?\nAnswer: 0.000005156103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -3*f**4 - f**2\/2 + 45*f + 128. What is the derivative of y(r) wrt r?\nAnswer: -36*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -4*o + 0*o**3 + 0 + 1\/4*o**4 - 1\/42*o**7 + 0*o**5 + 0*o**6 + 0*o**2. What is the third derivative of x(i) wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(0 + 1)*(74962 - -415) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286310, 576798, 867286?\nAnswer: 1157774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkghhkhgkggg. Give prob of picking 2 k and 1 h.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/145 and 13\/187050?\nAnswer: 187050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a hour in seconds?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 638 and 242?\nAnswer: 7018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.43 * 6.2332.\nAnswer: -520.035876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.743*38.78.\nAnswer: 28.81354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:09 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 962244 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 1. Let y(f) = -5*f**2. Let l(n) = n**3 - 20*n**2 + 34*n + 37. Let m be l(18). Determine m*y(b) - t(b).\nAnswer: -6*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -25 + 7 + (1 + -2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1670.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12\/11 + 14\/33. Suppose -10*r + 18*r = -8. Let l be 10*(-1)\/(-8) + r + -1. Sort 0.09, s, -0.4, l in increasing order.\nAnswer: l, s, -0.4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 3*l = -18, -2*p - 3*l + 18 = 0. Let y = -51 + 53. Let g = p + y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54082389 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-42))\/((-128)\/(-8)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 129*f - 773. Let g be w(6). Solve 5 = -5*q - 2*t, -q - 3*t + g = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -10, -9, 4, 35, 90, 175?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 101*x**2 - 7116*x - 109. Determine m(-90).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 4952376?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 8*i = -3*q + 113, 3*q = -5*i + 106. Suppose 3*u - 22 - 19 = 5*j, 3*u - j = q. Let z(f) = f**3 - 13*f**2 + 14*f - 11. Calculate z(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 282 = -2*f - 72, -5*t - 201 = -2*f. Suppose 0 = 4*d - f - 221. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*t = 16, -5 = -3*l - t - 1. Suppose 0 = -3*u - r + 1866, 3*u - 4*r = -l*u + 1881. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4003825 is divided by 1334566.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**6\/60 - 3*z**5\/8 - 37*z**4\/24 + 41*z**3\/4 - 35*z**2\/2 + 70*z - 5. Factor p(j).\nAnswer: -(j - 1)**2*(j + 7)*(j + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 take away 3?\nAnswer: -2.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1000000 (base 2) to base 12\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3429995, 3429833, 3429671, 3429509?\nAnswer: 3429347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 111*y + 392. Determine c(-115).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 612.2 + -616.2. What is the second smallest value in -2\/3, 3\/10, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 + -3 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, a: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 514167347.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 10 = 0, 17 = -11*q + 15*q - z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -9\/4, -7, -1, 1, 2\/5, 0.067?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2094 divided by 1705\nAnswer: 2094\/1705","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find g such that 17*g**4 - 4435*g**3 - 539*g**2 + 4435*g + 522 = 0.\nAnswer: -1, -2\/17, 1, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 3*sqrt(78) + sqrt(78))*6 - sqrt(78) - sqrt(78))\/(((sqrt(72) - -2*sqrt(72)) + sqrt(72) + sqrt(72))\/sqrt(12)).\nAnswer: 28*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68, 68, 70, 74, 80, 88?\n\"Answer: a**2 - 3*a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 83*j**2 + 8*j - 42. Is g(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s - 3. Suppose 45 = 4*d - 5*h, -4*h = 2*d - 7 - 9. Calculate the smallest common multiple of w(2) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + m)*(-235 + 78 + 22)*(4 - 1 - 2) in the form j*m + w and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 63*g**4 + 3*g**3 - 123*g**2\/2 - 6*g - 2926. What is the second derivative of q(v) wrt v?\nAnswer: 1512*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -213*z**4 - 165*z**4 + z**3 + 254*z**4 - 252*z wrt z?\nAnswer: -1488*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 2.2. Let g = 7.71 + 0.09. Let s = g + -8. Which is the second smallest value? (a) s (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -922652\/89 + 10367. Is 1\/3 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/396 + -9667\/1980. What is the common denominator of 12 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/15008499 and -173\/38203452.\nAnswer: 420237972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**2 - 6*y - 4. Let i be 52\/(-9) - 4\/18. Suppose 14*c - 15*c + 3 = 0. Let r(v) = -c*v + v**2 + 1 - v + 6*v - v. Calculate i*r(d) - x(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 39*i**2 + 322*i - 47. Let d be j(-27). Let v(m) = m**3 - 6*m**2 + m - 4. Determine v(d).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1 + 5)\/(-13 + 12). Put l, 2, -3 in ascending order.\nAnswer: l, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 247497, 989427, 2225983, 3957171, 6182997, 8903467, 12118587, 15828363?\n\"Answer: v**3 + 247307*v**2 + 2*v + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w - 1023. Calculate p(-68).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3818, -7635, -11452, -15269?\nAnswer: -19086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2318888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -1\/2 (c) 2\/3 (d) -2.7 (e) 0 (f) 29.015\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-82)\/3*(-1014)\/52.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017583 rounded to five decimal places?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 311*c**3 - 4*c**2 + 3*c - 10. Suppose 0 = 5*f - 3*f - 18. Suppose 3*k + 6 + f = 0. Let o be a(k). Round o to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 40 + 15 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3150854 divided by -47\nAnswer: 3150854\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*q + 67437 = -95583. Calculate the greatest common factor of q and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k + 15. Let t = 7315 + -7304. Calculate the remainder when o(3) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 - 4*n**2 + 6. Let l(q) = -5*q**3 - 5 + 1825*q**2 - 3642*q**2 + 1822*q**2. Calculate 3*j(u) + 2*l(u).\nAnswer: 2*u**3 - 2*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14552*z + 320229. Give t(22).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2691396959.\nAnswer: 2691396959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002909943753 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73.03 - 73. Let d = 0.03 + 1.97. What is the second biggest value in f, d, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35611, -71225, -106839, -142453, -178067, -213681?\n\"Answer: -35614*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = -3*c + 205 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/18 - (580\/36 - 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -474347249 * 0.5.\nAnswer: -237173624.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 710*o**2 - 18565*o + 499280.\nAnswer: -5*(o - 16)*(o + 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71 or 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*a + 136 = -141*a. Let d(g) = -1 - 5 - 8*g - 3*g. Let l(f) = -f**2 + 7*f - 6. Let r be l(4). Let x(c) = -4*c - 2. Give a*x(y) + r*d(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 323575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*2691\/(-69). Suppose -4*k + v = b, -k = -2*k + 3. Which is bigger: b or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuusuuuuuusuuuuuuu?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129.047 + 129. Round m to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1310, 1322, 1342, 1370, 1406, 1450?\n\"Answer: 4*j**2 + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(833)*2 - sqrt(833)) + sqrt(833) - (-4 + sqrt(833) + 0 + sqrt(833)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and 2?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275066 is divided by 255011.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k. Let x(t) be the third derivative of 61*t**5\/120 - 19*t**3\/3 + 8*t**2 + 2*t. Let w(v) be the first derivative of x(v). What is w(m(b))?\nAnswer: 122*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17048132 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (79231\/(-3) - 7)\/((-4)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -20*r + 270. Give j(17).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 + 177. Let f = l - -76. Calculate the remainder when f is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a decade in months?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111023 + 2575?\nAnswer: -107337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.83, -2\/5, 1, 2?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/2)*b*b*b\/(b**12*b*b))\/(b*(b\/b**(1\/3))\/b*b*b*b\/b**(-1)*b*b))**49)**(-15\/8) assuming b is positive.\nAnswer: b**(26705\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiiiiixiqeexexiqii. Give prob of picking 1 q and 2 i.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -25. What is the lowest common multiple of 1 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 7*d**2 - 3*d**2 + 0*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 1. Give i(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, 0.33 in descending order.\nAnswer: 21, 0.33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7\/2)\/r)**16)**(-30) assuming r is positive.\nAnswer: r**2160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*d + 116, 5*d = 3*d + 5*z - 82. Suppose -4*u - 280 = -772. Let p = u - d. What are the prime factors of p?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:24 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 2651, 6820, 12647, 20126, 29251, 40016, 52415?\nAnswer: 66442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5282 + -9082. Round n to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208, -324, -440, -556, -672?\n\"Answer: -116*s - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3033 = -485. Let f = -6108 - -6134. Calculate the highest common divisor of f and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 13*w**2 + 50*w + 809. What is n(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 (base 4) in base 2?\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (23 + -16 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*2 + 1 - (1*sqrt(228))\/sqrt(12))*-4 + (sqrt(2736)*-3 - (sqrt(76) + 1)))**2.\nAnswer: 420*sqrt(19) + 33541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885968889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(2*o + o + o) + (2*o - 2*o + o)*(0 + 1 + 1) - o + 5*o - 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/231 and -47\/401.\nAnswer: 92631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387)\/43*2\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-2))\/((-4)\/64). Let m = r - 14. Let f(a) = 4 - a**m - a - 6 + 8*a**3 - 6*a**3. Determine f(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/11, -1, 3, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 9:15 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffnunfufnfnnuunn. Give prob of sequence uufn.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o = 7*o - 35 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3108, 3105, 3100, 3093, 3084, 3073, 3060?\nAnswer: 3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (-4 + ((sqrt(2057) + sqrt(2057) + 1)**2 - sqrt(2057))) - sqrt(2057)) + sqrt(2057))*-6.\nAnswer: 132*sqrt(17) + 49350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -5*i**4\/24 - i**3 - i**2. Suppose 20 = 17*p - 14*p + 2*w, 10 = 2*p + 3*w. What is the least common multiple of p and s(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 8. Let l be a*3 + 80\/(-24). What is the nearest to l in -0.2, 0, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672357723?\nAnswer: 1672357723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-6)\/(-4))\/(66\/88). Let l(v) = -15*v + 1. Let n(s) = -7 - 2*s + 7. Give u*l(a) + 14*n(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*a - 10, 5*v - 2*a - 26 = 60. Suppose -21*f = -10*f + 49*f. Sort 4, f, v in increasing order.\nAnswer: f, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Let r = 3.2 - w. Let t = 0.199999 - r. What is t rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 80 = 30*k. Let n(t) = -t**3 - 10*t**2 - 21*t + 2. Let b be n(k). Calculate the greatest common divisor of 53 and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21329*w - 10594*w - 10353*w in the form k + t*w and give t.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15385, 30747, 46071, 61357, 76605, 91815?\nAnswer: 106987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-24))\/(38\/(-12) + 4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4\/7 + 80*o**3\/7 - 12*o**2 = 0. Calculate o.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:43 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:23 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -722, -723, -724?\n\"Answer: -f - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 6.3. Let f be (-12)\/3*1\/542. Let y = -572\/4065 - f. Sort k, -1, y.\nAnswer: -1, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 - (0 + (1 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 12. Which is the closest to -2? (a) h (b) 1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 6*l**7\/35 + l**6\/20 - 7*l**5\/20 + 5*l**3\/2 + 3521*l**2. Find the third derivative of c(p) wrt p.\nAnswer: 864*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 434.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 637 + 317 + 320.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 67 + (-7 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 6, 3 = -3*z - q - 21. Let m(o) = -o**3 - 6*o**2 + 6*o - 6. Let d be m(z). Let t = 2\/1345 + 2636\/36315. Which is greater: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + 11 - 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -5, 9.\nAnswer: -68, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 135*t + 26427. What is z(-199)?\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 192?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + (1 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66.88727 litres?\nAnswer: 66887.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhh when three letters picked without replacement from rhqnhlhlnnhr.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7211 - -2.2789. What is the biggest value in -1, -89, q, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 2*m - 6. Let z be o(8). Calculate the highest common divisor of z and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12112?\nAnswer: -12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:42 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 10*l + 6. Let u be p(8). Suppose -17*r - 80 = -u*r. Find the common denominator of -95\/4 and ((-122)\/r)\/(55\/20).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 8*a + 9. Let v be x(-7). Suppose 2*d - p = 601, p = -d + v*p + 298. Let r = 70 + d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 30 = t - 31, 28 = 4*t + 2*k. Let r(d) = -3*d**2 + 7*d + 12. Let s(i) = 3*i**2 - 6*i - 11. What is t*s(l) + 4*r(l)?\nAnswer: 3*l**2 - 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let l(w) = 9*w + 6. Let n(f) = 8*f + 3. Let o = -90 - -95. Let b(u) = o*n(u) - 4*l(u). Give b(c(j)).\nAnswer: 4*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 1, x: 1, k: 2, a: 1, v: 1}. What is prob of sequence okvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 4*w**2 + 6*w + 1. Let y be b(-5). Let d = y + 0. Sort 9, d, -5 in increasing order.\nAnswer: -5, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 3*i. Let m(r) = -13 + 4*r + 8 + 5 - 3*r**2. Let l(t) = -3*m(t) - 4*w(t). Let k(b) = -1524*b + 1524*b + b**2. Calculate k(l(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + j)*(60 - 6*j**3 - 60 + (j**2 - j**2 + 2*j**2)*(3 - 2*j - 3)).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 114438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58 - -1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10131.4 less than -960.48?\nAnswer: 9170.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p - 210. Determine z(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 8*b + 4. Let a be n(-6). Let m = 2753 - 2755. What is the nearest to 1\/2 in m, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 74*i**2 - 40*i - 2691. Determine y(73).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1145 - -260133?\nAnswer: 261311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/51, -1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by -5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/971 - 133243\/52434. What is the common denominator of u and -13\/32?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -6*c - 21. Let i be ((-31)\/4)\/(105\/c + -4). Let l = i + -17. What is the greatest common factor of l and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5\/2, -0.1, 3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000171712634 rounded to 6 decimal places?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.04143724 * -0.3.\nAnswer: 1.512431172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -8. Suppose -b*p = -7*p. List the prime factors of (-5 + 0)*(p + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p + 1. Let l be n(2). Let k be 1\/l - 182\/(-10). Suppose -z + 16 = 3*o - k, 5*z = -2*o + 157. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172390022?\nAnswer: 2, 7, 12313573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -69. Suppose 5*r = 2*k - 124, 3*r + y*r + 220 = 4*k. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 699*a - 2070.\nAnswer: -3*(a + 3)*(a + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-354 + 324 - (-2 - (2 + -4))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -2, 8, -492 in ascending order.\nAnswer: -492, -8, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -11*f + 15*f + 2*l, f - 3*l + 7 = 0. What is the highest common factor of 5 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21228 + -21227. Which is the second biggest value? (a) -2\/5 (b) t (c) 5 (d) -2023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -146875*m**4 + m**3\/3 - m**2 + 23. Let d be r(2). Round d to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*o**4 - 16*o**4 - 2*o + 0*o + (3*o**3 - 2*o**3 - 2*o**3)*(5*o - 4*o + 0*o))*(12 + 18 - 9).\nAnswer: 84*o**4 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4081 and 749155?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t - 18 = 74 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13242, 26478, 39700, 52902, 66078?\nAnswer: 79222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) 0.3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 4\/48331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**6\/120 + m**5\/40 - m**4\/48 - 17*m. Factor u(b).\nAnswer: -b**2*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2295 = 116*v - 2211 - 4078. Calculate the smallest common multiple of 2\/7 - (-68)\/7 and v.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6. Let h = t - 0.9984. What is h rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.92 - -402526.77?\nAnswer: 402634.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*u**3 + 15*u**3 + 5*u**3 - 1 - 2*u**4 + 8*u**2 + 3*u + 6*u**3 to n*u**4 + v*u + p*u**2 + f*u**3 + z and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 - 348*i + 348*i + 5)*(-42 - 30 - 34) to the form o*i + m*i**3 + g + l*i**2 and give m.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4 (c) 4617 (d) 2 (e) 1 (f) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5400\/(-504))\/((-9)\/42). Let f be (-6)\/((-2)\/(-8) + -1). Calculate the highest common divisor of a and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (2 + 6)\/(-2). Suppose 2*x - 8 = 0, -4*s - 395 = m*x + 1953. Let h be s\/((-1)\/(-3)*3). What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - c - 4300, 4*q - 3*c - 4292 = 0. Suppose 9*b + 302 = q. Suppose o = 4*p - 366, p - 7*o + 4*o = b. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -9. Calculate the remainder when (-98)\/(-3) - (-2)\/i is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21375 + -2 + -5 + (54\/(-9))\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.7 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {d: 2, m: 4, l: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + (-4257)\/924 + 5. Sort -2, u, -0.2.\nAnswer: -2, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14291281?\nAnswer: 1181, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 13*z + 7*z)*(2*z - 4*z + z + (-2 - 2 + 2)*(-5*z + 4*z - z) - z + 1 - 1 - z - 3 + 3 + 4*z + 0*z - z) to y + f*z + h*z**2 and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -11 - -4) + 28 + (12 - 11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 7. Let f(h) = 7. Let m(l) = 4*f(l) - 5*s(l). Calculate the remainder when 22 is divided by m(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k. Let u(m) = 33*m**2 - 70*m**2 + 13*m**2 + 17*m**2 + 31*m**2. Give p(u(f)).\nAnswer: 288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 94384?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 1, y: 11, b: 1}. What is prob of picking 1 y and 1 b?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 17*c - 4. Let z be x(4). Suppose z = 4*u + 20. Suppose m - 5*f - 8 = -10*f, m + 4*f = u. What is m rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 107495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1123 + 768. Let i be (-1)\/5 - n\/25. Solve -4*o - d = o - i, 5*o - 3*d + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633092 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 55) + (66 - (44 - (33 - 34))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -5. Let z = 12.9 - 12.791. Let c = -0.891 - z. Put j, -0.4, -3\/4, c in descending order.\nAnswer: j, -0.4, -3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*k**5 - 1242*k**4 + 10*k**3 - 4985188*k**2 wrt k?\nAnswer: 3300*k**2 - 29808*k + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -l + 7, 0 = l - 2*l + 3. Let -5*a + a**3 - a**d + a + 4*a = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 268 (b) 5 (c) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 7, p: 5, b: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfrr when four letters picked without replacement from frfpffrr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from nyyyr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.0509\nAnswer: 0.2545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 6 + 324\/(-60). Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t + 17. What is f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**6\/240 + z**5\/60 - z**4\/48 - z**2 - 4*z. Let g(c) be the first derivative of b(c). Let g(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*18\/5)\/(-1))\/((-6)\/20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((1\/5)\/1). Suppose 0 = -h + 2*h. Let x be 1*(0 + h) - t. Solve x*a + 34 = -3*y, 0*a - 19 = 3*y + 2*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436 (base 11) to base 6\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017308751 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/60 - f**4\/24 - f**3\/2 + 3*f**2. Let q(w) = -w**3 - w**2 - w - 1. Let u(n) = d(n) - q(n). Differentiate u(g) wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.7171 rounded to 1 decimal place?\nAnswer: -124.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 1:36 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -2. Let s be (-5)\/(-1*x\/(-4)). Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -209. Suppose d*i + 16 = 170*i. Put 18, i, 5 in ascending order.\nAnswer: i, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3330 - 4?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8330 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 283051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (35 - (2 + -3)). Let x be j\/210 - (-4)\/(-10). Which is the nearest to 0.1? (a) 5 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*u - 3*p + 2902, 1930 = 2*u - 4*p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w - 5*w. Do w and 0 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:17 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272) + 1 - sqrt(272)) + (-1*sqrt(153))**2*5.\nAnswer: 4*sqrt(17) + 766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -1879, 1 in ascending order.\nAnswer: -1879, 1, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 14*k**2 - k - 17. What is d(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 48*u - 702\/5.\nAnswer: -2*(u + 3)*(u + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.349419 litres in millilitres?\nAnswer: 5349.419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18479950.19999762 + 18479950. Let a = -0.58 + 0.38. Let c = k - a. What is c rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3469 - 3468.99994878. What is j rounded to six dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 3*y**2 + 4*y - 1. Let l be z(-4). Calculate the common denominator of ((-33)\/15)\/((-4)\/5) and (-2445)\/(-50) - ((-3)\/(-5))\/l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) + 447\/15. Let z = 21 - j. Let s = z + 17. 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: Express 10 - 2 + 3 - 2*w**3 in the form m + k*w**2 + i*w + l*w**3 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24590657, 49181314, 73771971, 98362628?\n\"Answer: 24590657*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 6*i - 4. Suppose -6*q = -q + 25. Give p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2. Let i(m) = m**2 + 13*m - 159. Let d be i(9). Let s(u) = -38 + 118 - 5*u - d - 40 - u**2. What is 2*b(x) + s(x)?\nAnswer: x**2 - 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/96 and (64\/(-1740))\/((21\/5)\/(-1) - -3).\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -9619*x**3\/6 + 3920*x**2 - x + 1699. Differentiate t(c) with respect to c.\nAnswer: -9619","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l*t**4 + l*t**2 - l - 7*t**4 - 30 wrt t.\nAnswer: -8*l*t**3 + 2*l*t - 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/6)\/((-273)\/3432))\/(4\/2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4 and -79\/254826.\nAnswer: 509652","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -7. Let x be (-8)\/24 + 1\/(-3). Which is the nearest to 0? (a) x (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1658*t**2. Let h(s) = 211*s. What is h(c(v))?\nAnswer: 349838*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)\/r)**(2\/3)*(r**(3\/4))**(-7\/6) assuming r is positive.\nAnswer: r**(-71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1.7619687\nAnswer: 7.0478748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34592.55029 - 34592. What is x rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/9*(-200)\/(-17200)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (5 - (8 + 14 + -62))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/(-3)*(5 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*z - 239, 2*z - 7 = -3. Let u(m) = -6*m. Let p be u(12). Let b = h + p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1\/40719596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4)*(4 + 8 - 10)*(-5 + 5 + 1)*(0*i - 3*i + 4*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + n - 5*n = 8, 4*p + n = 8. Suppose -2 - 8 = -p*y. Let c = 40 + -37. What is the remainder when y is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 o when four letters picked without replacement from kkoknnkkkkkkkko?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z**5 - 7*z**4 + 19*z - 4. Let f(u) = -2*u**5 - 2*u**4 + 5*u - 1. Let r(b) = 9*f(b) - 2*m(b). Find the second derivative of r(t) wrt t.\nAnswer: -40*t**3 - 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k + 12*k - 3047362. Solve -34079 + k + 5*x**3 + 2107*x**2 + 10935*x - 1702*x**2 = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = 6*y - 2722. Let m = y - 164. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 7*x + 7\/2*x**2 + 6 + 1\/3*x**3. Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-2)*(-6)\/7. Solve 0 = -k*n - 18 + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102178458 to the nearest integer?\nAnswer: 10108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 119*s - 1 - 118*s + 4. Let f(n) = -n**2 - 1. Let w(h) = -a(h) - 3*f(h). Calculate w(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 27632*h - 7865010 = 0. Calculate h.\nAnswer: -14095, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**3 + 5*h**3 + 2 + 3*h**3. Suppose 0 = 3*p + 5*n - 31, -4*n = 3*p - 13 - 13. Suppose -p*a = -3 + 7. What is m(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) -0.1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bdb (base 16) in base 14?\nAnswer: -7111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 + 378*r**2 + 396*r - 195. Let d be u(127). Calculate the highest common divisor of 532 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*g - 51, 23*t - 21*t = -3*g - 33 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozoooooooooooooooo. What is prob of picking 2 o and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9597 is divided by 2395.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1688, -1787, -1890, -1997, -2108, -2223?\n\"Answer: -2*x**2 - 93*x - 1593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, 2\/7, -28175, 0.1, 7\/5, 4, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 106172\/308 + 2\/7. Let x = -693\/2 + f. What is the closest to 0.2 in x, 2\/5, -0.07?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5\/2 - 2541*x**4\/2 - 531657*x**3\/2 + 2714445*x**2\/2 - 828144*x - 2449926 = 0. What is x?\nAnswer: -426, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 3*z - 5*z)*(1 - 2 + 3) + 12*z - 2 + 0*z - 5*z.\nAnswer: -9*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 - 64. Suppose -h + 27 = -n + h, -4*n - r = -h. Let j = n - -112. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.662 or 0?\nAnswer: -0.662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 4:18 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -68.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**7\/105 + n**6\/360 + n**5\/120 - n**4\/24 + n**3\/3 + 2*n. Let o(t) be the second derivative of h(t). Is o(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6 - (-357)\/(-102).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316608745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001101 (base 2) to base 12.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.6275 - -0.0225. Let d = -1.65 + j. Sort 0.2, -0.4, d in decreasing order.\nAnswer: d, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001299 to six decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*t - 41 = 0, -t = -3*t + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 383323 and 44589?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, c: 1}. What is prob of sequence mc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 1 - 1 + 2*b)*(b + b - b + (-2 + 0 + 3)*(b + 0*b + 0*b) - 5*b + 0*b + b).\nAnswer: -4*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29\/2 + -15. Suppose -4*y + 20 = -9*y - 4*b, 5*b = -5*y - 25. Let x be -1 - 0 - y\/(-3). Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-4 + 1 + 2)*(7*l + 2 - 2).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = 15. Find the third derivative of -y*k**3 - 3*k**2 + 2*k**2 + 7*k**2 + 0*k**2 wrt k.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f + f**2 - 3*f**3 - 7*f + 1 + 0 + 28*f in the form q*f + r + k*f**2 + w*f**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1204 + -1201. What is the closest to -11 in -0.6, -3\/4, 0, s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12065741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/99023040 and 39\/640.\nAnswer: 198046080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**4 + 2*n**3 + 5*n**2 - 2*n - 3. Let k(b) = b**4 + b**3 - b + 1. Let x(p) = -h(p) - 3*k(p). Factor x(i).\nAnswer: 5*i*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5551\/30 - 926\/5. What is the closest to o in 5, -1, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/4)\/(-1)*(-156 + 154)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 + 4*i**2 - 6*i - 19. Let b = -15531 + 15529. Calculate o(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -817, -3169, -7053, -12475, -19441?\nAnswer: -27957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 583 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/(-156) - ((-1046)\/8 - 1). Let c = v - 127. Suppose -3*w - 5*r = -49, w + w = c*r + 41. What is the lowest common multiple of w and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/27 and (7189680\/(-19962))\/20 - -18.\nAnswer: 29943","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**2 - 16*p - 26. Let q be t(-2). Let b be (242\/(-36) + q\/153)*2. Let l(s) = 3*s - 9. What is l(b)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193.9 + 18.9. Let m = j - -96. Let o = m + 79.0069. Round o to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*i**4 - g*i**2 - 1236*i**5 - 662*i**2 wrt i?\nAnswer: -48*g*i - 74160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 11) to base 4.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 25, 3, -2\/3, 7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -625320 + 3?\nAnswer: -625314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(48)\/(sqrt(3) + sqrt(3)*2 + sqrt(3) - sqrt(3)))\/sqrt(8))**2.\nAnswer: 4*sqrt(2)\/3 + 38\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1185 + -999. Suppose -188*a = -k*a - 60. Solve 3*z + 10*h + a = 5*h, 5*h - 5 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-20) + -11)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001291 rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -49 (b) -4 (c) 0.1 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 6*451\/66.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -14*g**3\/3 + 73*g**2 + 176*g. Let h(j) = -55*j + 290. Let o(b) = 3*h(b) - 5*v(b). Find the first derivative of o(q) wrt q.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154912.09 - -155650. Let s = n - 738. Let i = 197\/5 + -1364\/35. Which is the third smallest value? (a) s (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1045 + 3172\/3. Calculate the common denominator of 3\/(-2 - 137\/(-64)) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-7 - (-7 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -1\/5*v**2 - 1\/10*v**4 + 9 + 0*v + 4\/15*v**3. Solve d(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*h = 334, -5*y + 344 = -616*h - 614*h + 1232*h for y.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397832 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1780885\/229 or 7776?\nAnswer: 7776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21633212 is divided by 16229?\nAnswer: 16184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from vdvvsvnsvsvv.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 1, v: 1, s: 3}. What is prob of sequence ossz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 5*w + 109. Let s be h(-13). Solve 2 = s*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3365*o - 1665*o + o**2 - 3 + 2*o**2 - 1722*o. Give z(11).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 64 = 4*j, 5*j + 5*i - 80 = 4*i. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4 and -139\/902292?\nAnswer: 902292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5884 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37967, 78545, 119123, 159701, 200279?\nAnswer: 240857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-280))\/(4\/5).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.723 - -0.723001034. What is b rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8130255 and 37\/18.\nAnswer: 48781530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2)\/o**(1\/3))\/(o**(2\/13)\/o**(-2)) assuming o is positive.\nAnswer: o**(20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x - 2. Let a be q(1). Suppose y + 4 = 0, a*c = -2*y - 1 + 33. Calculate the remainder when 196 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/44 + -49\/220. Let c be (2\/9)\/(3 - 5). What is the second biggest value in 0.5, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(5\/11)*r**27)**(-43) assuming r is positive.\nAnswer: r**(-13459\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Let i(x) = 22*x**2 - x. Is i(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - 1*sqrt(204)*6 - sqrt(204)) + sqrt(204) + -6*sqrt(204)*2)\/(sqrt(588)*-2*-5 + sqrt(588)).\nAnswer: -17*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9))**(-4\/23)*u\/u**7*u**(-11)\/u assuming u is positive.\nAnswer: u**(-3734\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let z(c) be the first derivative of -13\/60*c**5 + 0*c + 0*c**3 + 0*c**4 + c**2 - 3. Let p(w) be the second derivative of z(w). Determine p(y(a)).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d**0)\/d)**(1\/15)*(d*d**(-3))\/d**8*d**(2\/5)*d**(-3)*((d\/(d**(2\/7)\/d))\/d)**(-5) assuming d is positive.\nAnswer: d**(-1684\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1662, -4, -1\/7, -1\/381, -0.5 in ascending order.\nAnswer: -1662, -4, -0.5, -1\/7, -1\/381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3873?\nAnswer: 7746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -71 (b) 0.5614 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513089.\nAnswer: 2513089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m - v - 1, 4*v + 13 = -m. Suppose -m*i - 2*i = -170. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45\/(-10)*56*4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/80*12 - 33\/(-45)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p + 84. Let u be t(-12). Suppose 9 = -n + u. Solve -n*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/9 + 68*b**4\/9 - 578*b**3\/9.\nAnswer: -2*b**3*(b - 17)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -1. Let v = r - -20. Is 6 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/10 - 3*w**2\/5 + 4*w\/5 + 7. Solve k(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194546 * 0.2\nAnswer: -38909.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**3\/3 + 12*w**2 - 26*w + 19. Does 16 divide s(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 + 36?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-156280)\/(-12) + 1\/(-3). Let q = -100984 + j. Let m = -252039 + q. Round m to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -10\/21 (b) -3 (c) 5 (d) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 2, y: 1, r: 1, f: 4, z: 1}. Give prob of picking 1 y, 1 r, and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -135, -314, -575, -924, -1367, -1910?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 5*z**2 - 6*z - 23. Let n = -145 + 152. Let t be x(n). Let k(g) = -16*g - 11. Let m(i) = -2 + 6 + 3*i - 2. What is t*m(f) + 6*k(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a**(-9))**(-21)\/(a**(-2\/25)*((a*a**(-4\/3))\/a)\/a*(a\/a**(2\/3))\/a**(-1\/3)) assuming a is positive.\nAnswer: a**(-54601\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 1. Let k(l) = 14*l**2 - 12*l + 12. Let h = 257 - 269. Let o = 10 - 9. What is h*p(u) + o*k(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4039330395.\nAnswer: 3, 5, 29, 2161, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + v**4 - 3*v**4 + (3 + v**3 - 3)*(-235 + 13*v + 235).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39680 and 41344?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13027540 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 53*d = 18 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/10 + 2400981*a - 24009811\/10.\nAnswer: (a - 1)*(a + 24009811)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27108275 and 46760.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6970.\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -57*q**2 - 7*q + 4. Let s(b) = 49*b**2 + 6*b - 3. Calculate -6*c(i) - 7*s(i).\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**3 - 7*u**2. Let d(v) be the third derivative of 0*v + 1\/60*v**6 + 0 + 0*v**4 + 0*v**3 - 1\/20*v**5 - 5*v**2. Determine 7*d(f) - 3*m(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -64431135 (base 8) to base 5\nAnswer: -12011303303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:15 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*d**5 - 696*d**4 + 16929*d**3 - 124914*d**2 + 28800*d + 79872 = 0. Calculate d.\nAnswer: -2\/3, 1, 13, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d + 5. Let m be t(-4). Suppose 0 = 17*o - m*o + 180. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -9379, 3 in decreasing order.\nAnswer: 39, 3, -9379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6938053662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/12568 - -109183\/18852. Calculate the common denominator of v and -65\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40852697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*q + 3*q**3 + 18*q + 16*q + 19*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + z**3)*((-2*z + 5*z - 2*z)*(0 + 1 + 1) + 6*z - 7*z + 36*z) in the form a + t*z**2 + v*z + r*z**4 + q*z**3 and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 3*s**5\/20 - s**3\/2 - 4*s + 6. Let k(l) be the first derivative of f(l). Suppose k(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 848955, 848950, 848941, 848928?\nAnswer: 848911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/540 + 7*k**5\/135 + 17*k**4\/108 - 10*k**3\/9 + 150*k**2. Solve f(j) = 0 for j.\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51007 + -4896563\/96. Calculate the common denominator of w and 97\/36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 53*b - 1. Let l(d) = -10*d + 1. Let a(s) = 6*l(s) + x(s). Let j(v) = v**3 + v**2 + v + 5. Let z be j(0). Let w(n) = -n + 1. What is z*w(q) - a(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*s**2 + 299*s**2 - 2*s**3 + 305*s**2 - 898*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**3 - 5*x**2 - 5*x - 5. Suppose 9*v + 8*v = 51. Let t(u) = 10 + 0*u**2 - 13 + 2 + u**v - u**2 - u. Give p(a) - 5*t(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**4\/4 - 2*b**3 + 3*b**2\/2 + 15*b - 2. Let j be n(-6). What is the biggest value in 3, j, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 70.6 (c) 0.045747\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*d = -552, -d + 5*d + 568 = 5*j. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152676*h**3*l - 29*h**3 + 89444835*h**2*l - 2*h**2 wrt h.\nAnswer: 916056*l - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -74. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*g**2 - 65*g**2 - 66*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130996, 131001, 131008, 131017, 131028?\nAnswer: 131041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 13 - (-1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r + 21. Let v = 16 + 0. Is l(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105859 = -y - 4*s, 3*s = -4*y + 630746 - 207297. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/832*-168*12\/9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 184, -2\/3, 10.9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*r**5 + 90\/7*r**3 - 405\/7*r + 486\/7 + 0*r**2 - 30\/7*r**4.\nAnswer: 3*(r - 3)**4*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-10) + (-5282172)\/(-73980)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*m - 40 = -16*m. Which is the smallest value? (a) -127\/3 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - -1504?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by -9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20351*z**2 + z + 4561.\nAnswer: 40702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 7*y - 10. What are the prime factors of n(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1226, 10466, 36110, 86540, 170138, 295286, 470366, 703760?\nAnswer: 1003850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 + 4*m - 26. Calculate o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.92 + 0.08. Let f = -23.4 + 21.4. Let y = -26 - -27. What is the nearest to y in -5, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23637*j**2 - 5 - 5*j**3 + 2*j**3 + 5.\nAnswer: -3*j**3 + 23637*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(68) - (sqrt(68) - (sqrt(68) + (sqrt(68) - sqrt(68)*2))))*-3 + -2) + 1)*-5.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/52 - 69\/364. Let q = 27.3 + -27. Which is the closest to -1\/4? (a) p (b) -3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 548*w**2 - 536*w - 12.\nAnswer: 4*(w - 1)*(137*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*x = 44*x + 196812. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04572 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/84 - -1403\/1092. Let q = 161\/117 - w. Factor 0*s - q*s**2 + 0.\nAnswer: -2*s**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 16, -44*a + 49*a - z - 16 = 0. Let p(k) be the second derivative of 1\/6*k**a + 24*k + 0 - 1\/6*k**3 - k**2. Calculate p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1610665)\/(-18))\/(-5) - (-6)\/9. Let g = t - -17889. Calculate the common denominator of g and -67\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 210?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1, -2, -6, -3450, -10 in increasing order.\nAnswer: -3450, -10, -6, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 7. Let v = 4 + -3.9. Let l = v + -1.1. Which is the nearest to l? (a) -4\/3 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -28, 5, 1, -3 in ascending order.\nAnswer: -28, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38703245*r**5 - 3458219*r - 3 wrt r?\nAnswer: 774064900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -24, -58, -106?\n\"Answer: -7*o**2 + o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*q = 23, 0*s + 2*s = 4*q + 14. Suppose 239 = 4*k + s*h, -2*k + h = k - 176. What are the prime factors of k\/5 + (-4)\/(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 624*x**4 - 624*x**4 + 32*x**5 + 1 - 1 - 3*x**5 + (6*x**3 + x**3 - 5*x**3)*(-2*x**2 + 4*x - 4*x).\nAnswer: 25*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -327*n - 46111. Give c(-141).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2321453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 1. Let a be (3 + -12)\/(3\/2). Let l(w) = -10*w - 3. Calculate the remainder when n(a) is divided by l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/1)\/(7\/21). Let x be (s\/(-27))\/((-2)\/4). Suppose 3*v = -v. Which is greater: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 118630405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691402 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**5\/5 + 261*q**4\/2 + 520*q**3\/3 - 261*q**2 - 521*q - 6545. Let j(r) = 0. What is r?\nAnswer: -521, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iillil. What is prob of picking 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 853.\nAnswer: 2\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 45*b + 9. Let v(k) = 11*k + 2. Let h(t) = -9*v(t) + 2*w(t). Let c be (5\/10)\/(3\/12 + 0). Let z(u) = -5*u**c - 2*u**2 + 8*u**2. What is h(z(y))?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132 and 15214.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8051611*f + 12483984?\nAnswer: 8051611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 - 17*f - 72. Let i(g) = 16*g**2 + 55*g + 215. Let y(r) = -7*c(r) - 2*i(r). Differentiate y(q) wrt q.\nAnswer: 6*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 112 = -z + 4*j, 0 = -2*j + 8. Let t = 83 - z. Suppose 4*l - 135 + t = 0. Calculate the remainder when 62 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83439658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -4*(-6)\/(-8). Suppose -36*g + 35*g = c - 14, -w*g + 5*c = -28. Calculate the lowest common multiple of 9 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-9)*(-9 + 57). Let x = -20 - q. Suppose -3*s + 0*s + 72 = 0. Calculate the remainder when x is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33093812 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -27. What is the remainder when 30 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**5\/8 + 7*t**4\/8 + t**3\/8 - 7*t**2\/8 + t\/4 = 0?\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(10\/9)\/(g\/(g*g**(2\/11)*g)))\/((g**(-19)*g)\/g*g*g**15))**(3\/20) assuming g is positive.\nAnswer: g**(131\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.2 + 0.2. Let l = 0.064 + 18.636. Let s = p + l. Which is the second biggest value? (a) 3\/2 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-25)\/(-3)) + (-252)\/(-105). Suppose 3*u + 0*u = 0. Solve u = t + 5*c + 2, t - 1 = 4*c - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let t be f(3). Let c(x) = -3*x**2 + 3*x + x**3 - 2*x - 2*x**3. Let u be c(t). Solve -h - u = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.412 to one decimal place.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617*w + 1615*w - 6 = -4*o, -4*w = -3*o - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 555315*i**5 - 416212*i**2 wrt i.\nAnswer: 33318900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 206, 206, 208?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.46 - 4.46. What is the biggest value in -4, 2, 6\/23, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - u = -8*f + 24, -f + 2*u + 12 = 0. Solve 2*t + 6 = f*d - 6*d, -t = -4*d - 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 - l**4\/24 + l**3\/3 - 6*l**2. Factor t(u).\nAnswer: -(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(-1 - -11)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 = 2*x, 4*x - 784*v = -783*v + 39. What is the remainder when 2795 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 531 and 3363?\nAnswer: 10089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4176 divided by 4.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 151927 or -0.112?\nAnswer: 151927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -17, 6 in ascending order.\nAnswer: -17, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2, -1\/3 in decreasing order.\nAnswer: 3, 2, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 620.85 + -4.\nAnswer: 616.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5) - -1190*21\/(-1050)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -251 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15435 is divided by 3801.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 - 1 = 0. Let w be (1 - -1)\/((-9)\/p). Which is the closest to -1? (a) -0.5 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 7*b**3 - 2*b**2)*((-1 - b + 1)*(-4*b - 2*b + 4*b) - 2*b**2 + 0*b**2 - b**2 + (3 - 5 + 0)*(-6*b**2 + 2*b**2 + 2*b**2) + b**2 + 1 - 1).\nAnswer: -28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)**(1\/20)\/(s**(-2)*s*s*(s\/(s**(1\/10)*s))\/s)*(s*s**(1\/5)*s*s**(1\/3))\/(((s\/s**(3\/5))\/s)\/s**6) assuming s is positive.\nAnswer: s**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12\/13, -426, -5 in increasing order.\nAnswer: -426, -5, 12\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Suppose 3*n - 5*n - 72 = 0. Let q(y) = -10*y**2. Calculate n*r(w) + 4*q(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-548 + 3)*(1 + -2). Suppose -2*s + v = 3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 10*x**2 - x + 10. Let c = -26 + 36. Let q be t(c). Solve q = 2*a - 5 - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52627.8 times -4?\nAnswer: -210511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1.205.\nAnswer: 2.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*i + 1368 = -74*i. What is the remainder when 103 is divided by (33\/(-99))\/(((-10)\/i)\/(-5))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51985, -52086, -52187, -52288, -52389, -52490?\n\"Answer: -101*w - 51884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336)\/60 - -7) + (-2464)\/110.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 4, g: 2, u: 4, i: 5}. Give prob of sequence uui.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140, 122, 92, 50?\n\"Answer: -6*j**2 + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 38, 63, 104, 167?\n\"Answer: t**3 - t**2 + 11*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-238)\/(-36))\/17)\/(25\/75).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*sqrt(320)*3 + -4)**2 + 4 + (2 + sqrt(320) + sqrt(320))*6*1.\nAnswer: -48*sqrt(5) + 25937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 4*o + 6. Let l be q(-2). Suppose -3*m = 3*f - 0 - 3, m + 2*f = l. Solve -3*s = -9 - m, 27 = 4*v + 5*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*y - 32*y + 61. Let d(s) = -24*s**3 + 1. Give d(y).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**2 + 1657*c - 17650. Calculate w(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 + 3\/1 + -3. Let q = m - -68. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 838576 * -88.\nAnswer: -73794688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -29 + 7*l**2 + 1\/60*l**5 + 0*l - 3\/2*l**3 + 1\/4*l**4. Let j(b) be the second derivative of d(b). What is j(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**2 + 5404*c + 40 - 5404*c)*(-c + 3 - 3).\nAnswer: -9*c**3 - 40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8216790991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 918 and 270?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 29 = 9*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8875795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(33)\/sqrt(3))**2 + sqrt(11) + sqrt(22)\/sqrt(2) + -2.\nAnswer: 2*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzz when three letters picked without replacement from {z: 6, o: 1, v: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/9 - ((-2410005)\/135)\/(-17). Is y < -1051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 50*a**2 - 571*a + 142. What is s(-32)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 32. Let k be s(35). Suppose 147 = 5*i - 3*l - 125, 4*l = k*i - 172. What is the highest common factor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 2, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1943*s. Let h(p) = 1939*p. Give g(h(n)).\nAnswer: -3767477*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -511*i. Let k(w) = -1862*w**2 - 2. Calculate h(k(g)).\nAnswer: 951482*g**2 + 1022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3873 times 9\nAnswer: 34857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/3, 1\/2, -7.9 in decreasing order.\nAnswer: 1\/2, 0, -2\/3, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2031*g - 2029*g + 12, 4*g - 5*y - 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odoodo. Give prob of sequence oodd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 + 64 = 0. Let j(l) = 5*l**2 - 8*l + 6. Let z(c) = 14*c**2 - 23*c + 17. Calculate b*j(v) + 6*z(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**5*n + 39*i**5 + 91*i**2*n - i*n + i + 2*n - 98592 wrt i.\nAnswer: -40*i**3*n + 780*i**3 + 182*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438.99984145 - 439. What is m rounded to six dps?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 55, 81, 107, 133?\n\"Answer: 26*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -101426 = -101420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 573, 551, 527, 501, 473?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:39 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1001101?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3584 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (1*sqrt(567))**2 + 0 + -2 + ((sqrt(77) - (-2*sqrt(77) + sqrt(77)))*-3 - sqrt(77))\/(sqrt(11) + 3*sqrt(99)))*4.\nAnswer: 166*sqrt(7)\/5 + 2260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25190 + -25226. Sort 2\/9, -3\/139, u in ascending order.\nAnswer: u, -3\/139, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - f + 1, -8 = -5*i - 144*f + 142*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**6\/120 + 19*s**5\/60 + 2*s**4\/3 + 3*s**3\/2 - s**2. Let k be p(-18). Suppose u - 2*u = -k. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0 (c) -1\/2 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -243732.24595 and 9.\nAnswer: -243723.24595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 59. Determine r(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a second in milliseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*n - 20, 12 = 3*n - 7*n. List the prime factors of 24 - (5 - 3)\/p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2978\/43105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.036\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*k = 381, -3*j = k + 108 - 471. What are the prime factors of j?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32636441 is divided by 741737.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98744?\nAnswer: 2, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 5*g - 3. Let s(d) = -d**3 - 9*d**2 - 7*d + 11. Let p be s(-8). Let n(t) = -3*t - 1 - 3 - 3*t + t**2. Calculate p*n(y) - 4*r(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**3 + 2*u**2*x**2 + 26842*u*x + 202389*x**2 - 5 with respect to u.\nAnswer: 3*u**2 + 4*u*x**2 + 26842*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(10)\/(-3*-2*sqrt(2)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {x: 2, y: 1, l: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25382508.\nAnswer: 2, 3, 59, 35851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/5))\/p*p)**(1\/33)*((p**1\/p)\/p)**(-2\/31) assuming p is positive.\nAnswer: p**(141\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 12:58 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 1007 = -10*k + 90*k - 2191 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*c**5)*(2 + 1 - 5) - 5*c**5 + c**5 - c**5 - c**4 + c**4 + 2*c**5.\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + 11. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m - 3*j + 7 = 0, -5*m + 5*j + 95 = 0. Let y be (2\/12)\/(17\/(-51))*(-280)\/10. Which is greater: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67\/4 of a minute?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-6)\/(-54)*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 224 = w + 186, 0 = -2*w + 4*f + 20 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-36)\/(-22))\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1966*g**3 - 983*g**3 - 39*g**4 - 962*g**3 + (1 - 1 - 2*g)*(0*g**3 - g**3 + 0*g**3) in the form d*g**2 + u*g + n*g**3 + m + x*g**4 and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.119, 4, -2\/7, 0, 1, 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*u + 2*k + k, -4*u = 4*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 1190. Let t = x + 1538. List the prime factors of (3 - 5)\/(1*(-8)\/t).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 5:52 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9202?\nAnswer: 2, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -13*i - 9. Let n(z) = 9*z + 6. What is 7*n(q) + 5*x(q)?\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t + 379. What is the remainder when 468 is divided by c(-20)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 4, d: 7}. What is prob of sequence ed?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 222, 571, 1208, 2229, 3730, 5807, 8556?\n\"Answer: 16*q**3 + 45*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.3 (c) -0.05 (d) -107 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -288, -399, -472, -495, -456, -343, -144?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1483*x - 8. Let a(m) = -1455*m - 7. Calculate -6*a(p) + 5*q(p).\nAnswer: 1315*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*y - 15. Suppose -21*d - 16 + 58 = y. Calculate the greatest common factor of d and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s + 4*s. Suppose -2*t + 4*f = 0, -2 + 0 = t - 4*f. Is 443 + (t + s - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -39\/185, 4, -94, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 + 3*w**3 - 4*w**3 + 7*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (12 - (4 - 5)). Let m = 7 + w. Let q = m + -18. Solve 3*s = -s - 2*n, 5*s + q*n = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 50*n - 1\/15*n**6 + 0*n**3 - 1\/2*n**5 + 0 + 3\/2*n**2 - 1\/12*n**4. What is the third derivative of o(j) wrt j?\nAnswer: -48*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -23 - (67 - 91 - -27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105813 and 3342907?\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 10*z + 2. Let h be y(10). Suppose h*m - 13*m = -44. What is the second smallest value in -5, m, 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(112) - (sqrt(112) + sqrt(112) + 0 + -5))*4 - (sqrt(252)\/sqrt(300))\/(sqrt(12)\/sqrt(4)*-1))**2.\nAnswer: -648*sqrt(7) + 55927\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 6, -3\/7, -1879, 0.3, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 = -3*w, 3*w + 2 = w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55626890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 85. Let w = 51.8 + a. Round w to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -8 - (-28 - -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let y be b(2). Suppose -2*m - y = -3*m. Let a(j) = 4*j - 3. Give a(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490494 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. What is the third derivative of -s**4 - s**4 + s**4 - 5*s**2 + o*s**4 wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4255 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w + 316 - 343*w**4 + 320 + 321 - 967 - 2558*w**4 wrt w.\nAnswer: -34812*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 785102, 785132, 785162, 785192?\n\"Answer: 30*t + 785072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -510273 rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 110, -13, 2\/15, 0.04, -2\/29?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 - -5. Let g = h + -1. Let y = 4 - 6. What is the second biggest value in g, 0, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13904.17ug in milligrams?\nAnswer: 13.90417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) 0.2 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372941247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2248 + 2245. Put r, -1\/8, -6, 0.4 in decreasing order.\nAnswer: 0.4, -1\/8, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + v + 1 = 0, -4*n + 6 = -3*v. Suppose 9*g - n*g = 54. Let j(i) = i**2 - i + 1. Let r be j(2). What is the greatest common divisor of r and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t**2 + 14*t + 20. Let n be z(-2). What is the closest to 1\/6 in -11, 0.4, n, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14663051 and 5416.\nAnswer: -14657635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 3*b + b + b + 3 - 3 + (1 + 0 - 4)*(56*b + 672*b - 94*b).\nAnswer: -1900*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by 47\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f**3\/11 + 11996*f**2\/11 + 25766*f\/11 + 3436\/11 = 0.\nAnswer: -2, -1\/7, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147.99999923 - 148. What is l rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 21*k + 4. Let d(g) = -272*g**2 + 274*g**2 - 5 + 42*g + 8 + 4. Give 4*d(v) - 7*t(v).\nAnswer: v**2 + 21*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2962*f**3 + 345*f**2 - 4524727.\nAnswer: -8886*f**2 + 690*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 6}. Give prob of picking 1 f and 3 g.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.616 rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 4*z + 35. Suppose 172 = 5*w + 57. Calculate the remainder when w is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - -24364010?\nAnswer: 24363757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77))\/sqrt(11) + sqrt(448)\/sqrt(4) + (2 + sqrt(700))**2*6.\nAnswer: 242*sqrt(7) + 4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 723, 512, 169, -300, -889?\nAnswer: -1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12695443 is divided by 4818?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7629739 rounded to 2 decimal places?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-44)\/4)\/33)\/(39\/(-18))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z*z**2*z)**(-2\/51))**(14\/11))**(-2\/69) assuming z is positive.\nAnswer: z**(392\/38709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-4 - 21) - -3) + 3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15022 and 231?\nAnswer: 495726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c4b - 5?\nAnswer: -2c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 18*v**2 + 45*v - 50. Let k be d(6). Let l be (-66)\/(-8) - (-1)\/(-4). Suppose 0 = -3*x - x + l. Put x, k, 0, -4 in decreasing order.\nAnswer: k, x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414428 by -207214.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 81*u + 1404. Let s be a(-13). Is -1.3 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 2*c**2 + c - 4. Let v be b(-3). Let q be (1 + 0)\/((-7)\/35). Let j be 16 - 5\/q*-4. Solve v*o = -o - j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.13. Let k = l + -0.04. Which is the nearest to k? (a) 3 (b) -4\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 2*f - 1. Let r(x) = x**3 + 6*x**2 + 6*x + 7. Let c be r(-5). Let n be i(c). Let h = 17 + n. Put h, 0, 3 in decreasing order.\nAnswer: h, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 232 = -2*q, -2*q - 35 = -c - 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 402724723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(((-15)\/(-4))\/5). Suppose -3*f = -f - t. Suppose -4*d - 2*z = -34, 0 = -5*d + 5*z + f + 46. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -302 from -599.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4592\nAnswer: 5\/4592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 88410000 to the nearest one hundred thousand.\nAnswer: 88400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 76 = -549 + 130 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 30 - 2 = 0. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (-1*sqrt(152) + sqrt(152)))\/(sqrt(288)*3).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)\/1 - 2. Let b be (1\/(-2))\/(t\/66). Solve -b = 5*c + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23475288, -23475277, -23475266, -23475255?\n\"Answer: 11*l - 23475299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1302 + 1304. Let b(u) = 6*u**2 + 51*u - 1. Let s be b(m). Let l = -115 + 165. What is the highest common divisor of s and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 44988*x - 44992.\nAnswer: 4*(x - 11248)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.54\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 992, 1093, 1196, 1301?\n\"Answer: q**2 + 98*q + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5825*z + 180608. Calculate d(31).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110 + 1?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/11)*d\/(d\/(d**(-6)*d))*d**9*d**(1\/5) assuming d is positive.\nAnswer: d**(261\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81892.999965213 + -81893. What is i rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1 + t + 2*t - 2*t. Let b be f(12). Suppose 0 = -j + b + 13. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1112 = -5*r - 4*f, -3*r = -5*f + 866. What is the remainder when 86 is divided by (-940)\/r*2\/((-4)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t + 246. Let m(s) = -10*s + 247. Calculate -2*j(h) + 3*m(h).\nAnswer: -2*h + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/10 and -6\/11941?\nAnswer: 119410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9438 or 0.1?\nAnswer: 1\/9438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108533801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/24)\/(6\/(-8)) - (-4)\/(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3248\/8932*-11*1\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z - 24*z - 8 = -3*d, 1 = -3*z + 2*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 - a - 1. Let n(u) = 4*u**3 - 5*u**2 + u + 14. Let o(x) = -3*m(x) - n(x). Let c = -19 - -27. Suppose 9*w = 8*w + c. Calculate o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2856789173993 and -0.3?\nAnswer: 2856789173992.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*c + 180 - 154, -30 = -4*f - 3*c for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4799 is divided by 303?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16.816*0.03\nAnswer: -0.50448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + -58 - (28 + -52 - -8).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1118400304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3260*m - 2 - 42*m**2 + 3261*m + 0 + (0*m - m - 2*m)*(0*m - 2*m + 0*m).\nAnswer: -36*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 9\/(-4) + 7\/7. Determine i, given that -3\/2*i + n + 3\/4*i**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (-6*sqrt(68)\/sqrt(4) + sqrt(17))**2 + (sqrt(68)*-1)\/sqrt(4))*5 - ((-1*sqrt(136)*-4)\/(sqrt(968)*-1 - sqrt(968)))**2.\nAnswer: 257057\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from vctfctcvth?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h + 132. Let i = 46 - h. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 7\/5 (b) -0.4 (c) -4\/79 (d) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-19)\/(z\/(((z\/z**12)\/z)\/z)))**35)**(10\/7))**24 assuming z is positive.\nAnswer: z**(-39600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21879413865 take away -0.00777?\nAnswer: -21879413864.99223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*m**3 - 2*m - 97 wrt m.\nAnswer: -672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1767*i - 54. What is the thousands digit of r(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5 - 20*b + 6*b + 10*b. Let z(a) = -5*a - 4. Let s(j) = -3*f(j) + 4*z(j). Determine s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 19*p. Suppose 8*j - 14*j + 126 = p. What is the remainder when 60 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-8*(-10)\/(-36)*(-48)\/(-80)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/7))**25 assuming f is positive.\nAnswer: f**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 221, 478, 735, 992, 1249?\n\"Answer: 257*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*k + 23. Suppose 0 = 3*d + c - 4*c - 120, k*c = 16. Suppose d = 13*o - 8. Put -7, 3, o in decreasing order.\nAnswer: o, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 2*z + 2*z + (2 - 5 + 4)*(-4 + 4 + 2*z) + 31 - 1027*z + 1028*z + 39 in the form g*z + x and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -1.3. Let m be 9\/(-4) - (-7)\/28. Sort m, p, -2\/21 in increasing order.\nAnswer: m, p, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 - -10)*(2 - (-13)\/(-3)). What is the common denominator of 203\/(-6) + (-2)\/3 and ((-19)\/c)\/((-10)\/7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5086, 10167, 15246, 20323?\nAnswer: 25398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -11. Suppose -21 = -10*o + 19. Sort m, 0, o.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131132000 (base 4) to base 16.\nAnswer: -1d780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.1836281 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*g + 12. Suppose g*s - 21 = d - 4*d, -2*d + 34 = -2*s. Let l = d - -18. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q - 3. Let u be 2 + -2*((-33)\/(-6) - 4). Let j be w(u). Which is the nearest to 1\/4? (a) j (b) 0.04 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65872 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 3. Let d(q) = 13*q**2 + 13. Let a(x) = 2*x**3 + 13*x**2 + 16*x + 7. Let g = 347 - 352. Let k be a(g). Determine k*d(s) + 9*j(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14ea4 (base 15) in base 16?\nAnswer: -10765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 + 11586*u**4 + 184878*u**3 + 1039020*u**2 + 2307975*u + 1442250 = 0.\nAnswer: -3846, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:32 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -5, -2\/5, -0.125?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/6)\/((-2)\/42). Calculate the highest common factor of 105 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 65, 85, 125, 191, 289?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -7) + -18 + 79.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 2*g = 6*g - 4*g - 13*g - 20, -4*l + 52 = g for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/11)*v*v*v**6 assuming v is positive.\nAnswer: v**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d - 33. Let z(b) = -10*b**3 - 11*b - 6. Let u(l) = -2*l**3 - 2*l - 1. Let q(a) = d*u(a) + 2*z(a). What is the first derivative of q(v) wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:42 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/(n\/((n\/(n\/n**(-6)))\/n)))**(-7\/13) assuming n is positive.\nAnswer: n**(35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 3.5. Let d = 328 + -324. Let f(w) = w**3 - 3*w**2 - 5*w + 2. Let j be f(d). What is the nearest to 0.7 in j, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, k: 7}. What is prob of picking 3 k?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -42 - (-348 - -304).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010011 (base 2) to base 4.\nAnswer: 11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150434800?\nAnswer: 2, 5, 19, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*a - 1, -5*h = -4*a + 3*a - 17. Suppose h = 3*r - 6. Let q(c) = -c**3 + 7*c**r + 0*c**3 + 2*c**3. Calculate q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2795 (b) 0.16198 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7938490*u**2 - 7938490*u**2 + 11*u**3.\nAnswer: 11*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 228246461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*t - 5*m, 0 = -m - 4*m - 25. Let n(o) = -2*o + 20 - 11 + 9*o - 12. Determine n(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99992338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -467*i - 1461. Let f(l) = 44*l + 1. Let u(g) = 3*f(g) - s(g). Differentiate u(j) with respect to j.\nAnswer: 599","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30115.24 millilitres to litres.\nAnswer: 30.11524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 577555.944125 + -577523. Let r = w + 0.072675. Let q = r - 33. Round q to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 = 2*t, -83373*p + 1 = -83376*p + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1545901 and 9.\nAnswer: 13913109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.631*-23032\nAnswer: -37565.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**3 + 61*x**2 + 98*x - 40. Is s(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-5*sqrt(330))\/sqrt(6))\/sqrt(11) + (-5*sqrt(1440))\/sqrt(8)).\nAnswer: -140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-113)\/(14464\/576))\/(1\/(10\/(-24)))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose 4*b + 1964 = 5*t + 313, -h*t + 4*b = -989. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -29 (c) 2\/23 (d) -3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2. Let u = 6 + -6. Suppose u*b + 8 = 4*b. Let l(r) = 55 - 4*r**2 - 55 + 2*r**b. Calculate q(l(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6423887147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) 0.046 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 12. Let v be m(7). Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + b**2 - 2*b - 1. Let h(n) = 2248*n**3 + 3372*n**2 - 6744*n - 3372. Calculate -h(a) + 3372*t(a).\nAnswer: 1124*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-40) - 297\/(-12). Let k be (16\/(-10))\/(((-40)\/g)\/4). Solve -z = -d + k, -d + 2*z + 9 = -0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - g**3 + 0*g**3 + (2 + 1 - 4)*(6*g**2 - 6*g**2 - 17*g**3 + (-3*g + 3*g - 3*g**2)*(-2*g - g + g) - 3 - g**3 + 3).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:07 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2238087726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616008.4 millimeters to kilometers.\nAnswer: 0.6160084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.01 - -0.01. Let g = -2 - s. Let t = 7.99987 - g. What is t rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1061*b*c + b*q + 2*c*q - 550*q wrt c.\nAnswer: 1061*b + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + 6 + -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -807 + 974. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3122 - 11040233?\nAnswer: -11043410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 + 2*i**2 - 3*i. Let n(z) = -4*z**3 - 2*z**2 + 3*z - 1. Let m(w) = -3*k(w) - 2*n(w). What is m(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2234?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 2*a**2 + 2*a + 4. What is the tens digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 48?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let v be 4\/(-18) - 44\/(-36). Let x be 0 + 3 + -2 + v. Solve u + 4 - x = s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6147250 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 637805496 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968841 - 971151 = 66*g for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 10*l - 3. Let u be d(11). Suppose 20*o = u*o + 816. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/((u\/(u*u**4\/u))\/u))))**(-18)*(u*u**8)\/u*u**11 assuming u is positive.\nAnswer: u**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esb when three letters picked without replacement from ffbbbmmqqqsmbqmqbeqq?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**3\/15 + 138*q**2\/5 + 274*q\/5 - 160. Factor d(a).\nAnswer: 2*(a + 1)*(a + 137)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2014 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 6:20 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4524334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003374012 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 18*y - 1. Let g be j(9). Let t be 0 - ((-282)\/9 - -1). Let i = t - 31. What is the nearest to i in -2\/3, g, -3\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100857 (base 9) to base 4\nAnswer: 32211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 51. Suppose -3*o - s = -x, -3*o + 49 = -5*x + 198. Let k(t) = 9*t + 7. Let z be k(0). What is the greatest common divisor of x and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*i + 90*i - 70*i + 3549 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9726.9 rounded to the nearest 100?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/(-9)*12\/(-5))\/((-72)\/(-2628)). Is f > -292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 - 7 = -4*m, -m - 3*f + 8 = 0. Factor -3*b + 0*b + b**m + 0*b**2.\nAnswer: b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*g + 15*g + 15*g)*(22*g**3 + 5*g**3 + 23*g**3) - 24*g + 6*g**4 + 24*g as w*g**2 + k*g**3 + j + x*g + h*g**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43631744 by -8.\nAnswer: -5453968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 212, 289, 368, 449?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b = -6*b + 15*b. Put -436, -1, -4, b in descending order.\nAnswer: b, -1, -4, -436","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81? (a) -1.8 (b) 1\/5 (c) -6 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 658450 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 78, 74, 70, 66, 62?\n\"Answer: -4*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b**2 - 37*b**2 + 118*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -1\/8 (c) 0.2 (d) 4\/5 (e) 351\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/12 - 2*o**3\/3 - 3*o**2 - 2*o. Suppose -32 - 18 = 5*n - 4*k, 13 = 2*n + 5*k. Let a be 3*(0 - (-8)\/n). Calculate d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61\/3 - (-9)\/(-27).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1 - 34*h + 10*h - 17*h. Let d be t(1). Is -1 - d\/(2 + -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8974 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -4*v**7\/7 - 7*v**3 + 7. What is the third derivative of g(m) wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/11 - 2*i**3\/11.\nAnswer: -2*i**3*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 = 2*i - 5*a, i = 2*a + 9. Suppose -5*f = 6*k - k + 25, -3*f + 3*k = -15. Let c(d) = 0*d + 12*d - 7*d + f*d. What is c(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 66*m - 7*m - 274689 = 0. Is m at least -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-3684)\/144 - -26)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*j + 7 = 0, 2*b - 76*j - 3 = -75*j. Solve b*g = 6 - 2, 2*s + 12 = g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.4457 times -128?\nAnswer: -5561.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + (sqrt(102) - (sqrt(102) + sqrt(102) + sqrt(102)*-2 + sqrt(102))*4))\/(sqrt(72)\/(sqrt(84)\/sqrt(7))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*g + 32, -6 + 24 = 4*z - g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p + 152. Let f be b(9). Sort -26, 7, f in decreasing order.\nAnswer: 7, f, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - k - k - 10 = 0, 2*w = -3*k. Let t be (w\/(-2))\/(9\/(-12)). Suppose 2*q + 5*a - 18 = 11, t*a = 5*q. Does 2 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45528655 divided by 205\nAnswer: 222091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1267 + -1248. Sort -0.7, 0, c in increasing order.\nAnswer: -0.7, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8064 and 7002.\nAnswer: 3136896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 40 = -5*h, -5*b - 2*h + 8 = -25. Let z be b\/6 - (-4)\/(-4). Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 3*p**2 + 2*p + 1. Let a = -96 - -96. Let o(n) = -2*n - 2. Let k be o(a). Let w be x(k). Which is smaller: w or 18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -0*d + 4*z, 0 = 3*d + 4*z - 1. What is the remainder when 9\/d - -8 - -2 is divided by 7\/((3 - 1) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2 = 2*f, 23 = -2*n + 99*f - 96*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12*1)\/(52\/(-39)). Solve 4*q - 3 - h = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1608436 milligrams?\nAnswer: 0.0001608436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 4. Let l(b) = -4*b**2 - b. Let q be l(1). Let k be r(q). Solve 3*f + k = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 7. Let y(o) = 2406*o**2 - 2406*o - 16842. Calculate 2406*a(k) + y(k).\nAnswer: 2406*k**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 138\/(-1035) + 4\/30. Suppose v = -16*z - 19*z + 1060045. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79654778\/116101497 + -2\/375733. Let d = m - -2\/103. Find the common denominator of 42\/17 and d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 68\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1167 = 2*q + u, -11*q + 10*q + 586 = u. What are the prime factors of q?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 8*y - 3. Let u be t(10). Let p be (-51)\/(909\/(-60) + 15). Calculate the greatest common factor of p and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 662, 556, 424, 254, 34, -248, -604, -1046?\n\"Answer: -2*k**3 - k**2 - 89*k + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -57, -252, -557, -990?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.00053113 times -1.4\nAnswer: -0.000743582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53017999 to the power of 1\/2, to the nearest integer?\nAnswer: 7281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.45 - 0.55. Let j = -0.3 - -0.4. Let i = -3.9 - j. What is the second biggest value in i, s, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -58*h**2 + 23*h - 12. Let b be i(6). Let k be (-15)\/75 + b\/(-10). What is k rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 5, -3, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182307 divided by -10?\nAnswer: -182307\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + r = -4*u - 229, 233 = u - 2*r. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6949794491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65.7 and 31173.\nAnswer: 2048066.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666522 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 997584176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2755 - 15775*z + 4185*z - 2755 as h + u*z and give u.\nAnswer: -11590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 5*g - 5. Let o(c) = c**2 - 5*c - 4. Let p be o(5). Let y be w(p). Is (y\/(-2) + -2)*-10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1707683*r*t**3 + 89*r*t + 1097*r + 4*t wrt t?\nAnswer: -10246098*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -5*d**3\/6 + 4*d - 4. Let p be 5\/2*(-4)\/(-5). Let r(u) = u**2 + 0*u**2 + 0*u**p. Calculate r(t(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 12*r**2 - 19*r - 11. Calculate d(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1000110010000101100 (base 2) to base 16\nAnswer: -4642c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.19 (b) -2\/9 (c) -2\/15 (d) -36\/361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 2*v**4 - 2*v**4 + (0*v + 0*v - 2*v**2)*(-26*v**2 + 21*v**2 + 34*v**2).\nAnswer: -60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Let k = 16 - 8. Suppose -k*f = -10*f. Give g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 42669?\nAnswer: 298683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -490 - -484. Let n(m) be the second derivative of -1\/2*m**4 - 1\/20*m**5 + 0 - m**2 + m + 1\/6*m**3. Determine n(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204 - -1003?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i + 4. What is the remainder when i\/12 + 709\/6 is divided by (-11)\/(-5) + (23040\/75)\/24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 3. Let s(d) be the third derivative of -d**6\/120 + d**5\/12 + d**4\/12 - 5*d**3\/6 - 24*d**2. Determine s(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(2*-1*sqrt(52) - sqrt(52)))\/(sqrt(288)\/sqrt(8) + sqrt(48)\/(-1*sqrt(12))).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992889888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8979*-0.2.\nAnswer: 1795.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34911232 and 16480.\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 5\/2*j**2 + 3*j + 5\/12*j**4 + 0*j**3 + 0. What is the first derivative of r(x) wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 77*n**2 - 22*n. Let g(a) = a**2 + 2*a - 1. Let s(r) = -15*r**2 - 5*r + 4. Let q(v) = -4*g(v) - s(v). Determine 3*j(u) - 22*q(u).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 - 3*o + 17. Let b be n(-3). Sort b, 2\/3, -3, 2 in descending order.\nAnswer: 2, 2\/3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -13885 and -13994 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -73*q**4\/4 + 65*q + 51. What is the derivative of i(b) wrt b?\nAnswer: -219*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 + -ba73a5?\nAnswer: -ba7405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 157?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -4, -1, -53?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 divided by -501910?\nAnswer: -469\/250955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 4*l + 77. Let t be m(-11). Let f(g) = -2*g**2 + 3*g - 7. Determine f(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let y = -15 + 17. Let l(t) = -2*t**2 - t**2 + 5*t**y. Give z(l(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*c = -15, -5 = c - 3*c - 11 + 4 + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = -89*x - 9*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 92 - 249 = 23 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -297\/5. Let -1\/5*m + 4\/5*m**2 - 2\/5 - p*m**4 - 1\/5*m**5 + 2\/5*m**3 = 0. Calculate m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013829 to 4 decimal places.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 10) in base 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0 - 1\/4*b**4 - 5\/2*b**2 + 0*b**3 + 5*b. Find the first derivative of r(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1759, -4, -2, 405 in increasing order.\nAnswer: -4, -2, 405, 1759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + b**2 - b - 4. What is d(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-12))\/((-2)\/4). Suppose -4*p = -3*g + 7, 4*p - 5*g - 2 = -3. Let c be (2\/4)\/(p\/8). What is the second biggest value in c, 2\/15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/231 and -53\/49?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 1\/180*b**4 - 1\/900*b**6 - 14*b**2 - 2\/45*b**3 + 0*b + 1\/225*b**5 + 0. Factor m(l).\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s = -60*s + 12. Let d be (1 - (s + -2)) + 23 + -2. Suppose 0 = 2*k + v + 4, -4*k = -4*v + 5 - d. Solve -3*h - 3*u - 21 = k, 4*h - 3 + 11 = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100369.8659 - 4.\nAnswer: 100365.8659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 - 3*h**2 + 3*h. Let p(o) = 0 - 1 + 32*o - 44*o**3 - 32*o**2 + 1. Calculate -32*f(x) + 3*p(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 4}. What is prob of picking 1 p and 2 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 776 = 44. Suppose 5*v - 628 = -3*g, 3*g = v - 0*g - w. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 42050 = h + 8*h. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33140)\/(-30))\/((-1)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*14\/(-392))\/((-1)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 43*r**2 - 390*r + 2. Let s be n(13). Let -2\/11*a**4 - 2*a**3 - 50\/11*a - 16\/11 - 54\/11*a**s = 0. Calculate a.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/37667 and -32\/11.\nAnswer: 414337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8336500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -612 and -247517?\nAnswer: 246905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgncnq. What is prob of sequence cnq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12 = 4*h. Let g = h - -3. Let a(m) = -m**3 + m**2 - 3*m + 3. Let y(s) = -s**3 - 3*s + 3. Let j(r) = 6*a(r) - 5*y(r). Give j(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2996 = -271. What is the greatest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293406842.\nAnswer: 2, 17, 8629613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -183 + -b6?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -250 - -250.2086. What is o rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10011313 - 12?\nAnswer: -10011331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 1928454?\nAnswer: 25069902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 9*j + 20. Let u(y) = -y**2 - 5*y + 10. Let m(k) = -2*s(k) + 5*u(k). Suppose 43397 = 2*d + 43415. Calculate m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*w - 60 = -264*w. Let z be 1\/((-1)\/(-1))*-17. Let m = 12 + z. Do w and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.0853.\nAnswer: 0.0853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25880 - -25881. What is the fifth smallest value in -5, 23, -6, 3\/8, g?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -0*d + 1971. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - x**2 + 4 + x - x**2. Let g be r(0). Is 34\/4 - (-2)\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609 divided by 36364\nAnswer: -609\/36364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3123 + -10?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1947 and 89\/1239.\nAnswer: 13629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -27230*c**3 - 9*c**2 - 27*c - 9. Let f(p) = -13614*p**3 - 4*p**2 - 12*p - 4. Give -9*f(h) + 4*o(h).\nAnswer: 13606*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduuuulzb. Give prob of picking 1 d and 1 u.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + -3*(-2*sqrt(117) + sqrt(117)))\/(5*2*sqrt(9)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 - 2. Let u be s(-4). Suppose -2*t = q - u, 0 = 5*t - 33 + 13. Solve 0 = k + 2*k + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*n + 8*n - 1.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187975415 plus 5?\nAnswer: 1187975420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/2)\/2)\/((-504)\/(-5440176)*-257)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -355306?\nAnswer: -355318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 + 244. What is the remainder when x is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*g**4 - 41*g**4 + 42*g**4 - 76*g**3 + 76*g**3 + 20*g**4 + 0*g**4 - 2*g**4 + 0*g**4 + (5*g**4 + 0*g**4 - 3*g**4)*(4 + 0 - 5).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*l**2 - 16 - 11*l - 3*l**4 - 12*l**2 + 10*l - 2*l**3 - 14*l**2 to z + x*l**3 + b*l + p*l**4 + v*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -172. Let j(p) = p**2 + 4*p - 1. Let o be j(-7). What is the highest common divisor of o and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8377991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 85660*z + 6. Let g(s) = -4*s. What is k(g(q))?\nAnswer: -342640*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k + 169836 - 169836. Let v(u) = -432*u**2. Give v(q(a)).\nAnswer: -43200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105664 is divided by 1272.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -986*l**2 + 986*l**2 - 78*l**3 - 32*l**3 + 1.\nAnswer: -110*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 880545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/4913? (a) 5 (b) -3\/7 (c) -2 (d) -0.3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 + 2*x**2 + 8. Let o(n) = -2*n**3 + 17*n**2 + 9*n - 1. Let f be o(9). Let z(k) = 9205*k - 1 - 9205*k - k**3. Give f*w(q) - 4*z(q).\nAnswer: -q**3 - 2*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:03 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -229. Suppose -2*x = 4*h - 6*h + 5560, 20 = m*x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43732987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*y + 29, 10 = -2*y + 2*l + 3*l. Let u(n) = 10*n**2 + 5*n**2 + y*n**2. Let v(m) = -m. Give u(v(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1766732 and 5300196.\nAnswer: 5300196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - 12*t**3 + 7*t**3 - 16*t**2 - t**4 + 11*t**2 + t in the form r*t**3 + v*t**2 + u + q*t**4 + i*t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 1. Let m be q(1). Suppose 4*s = m*b - 29, -4*b + 26 = -0*b + s. Suppose 0 = 2*k - b*k. Round k to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 714.1069mm?\nAnswer: 714106900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1968\/(-192) - (-10)\/1. Which is the second smallest value? (a) 5 (b) t (c) 0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -18 (b) -0.2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -28.9. Is t at least 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5\/9 - 4*i**4\/3 + 2*i**3\/9 + 68*i**2\/9 + 8*i\/3 - 80\/9 = 0.\nAnswer: -5, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 4, 675, 279, -4?\nAnswer: 675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0255895 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*f + 150*f + 2433 - 321 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8645 - -25936\/3. What is the nearest to 0.3 in 417\/5, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*31571\nAnswer: -63142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1483323)\/((-2)\/(-4)). Suppose -k + 3133356 = -s. Round k to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 15*g - 73. Calculate m(-8).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) - 110\/(-15). Let b(w) = -3*w - 2 - 4*w + r + 6*w. Let v be b(-10). What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -247 and -257 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - h + 0*h + 3*h.\nAnswer: 2*h - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5374 + 158?\nAnswer: -5219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*((-1)\/(-2) + -2). Suppose -2*x + 7*x = 0. Let k(p) = p**3 - p**2. Let h be k(x). Which is the closest to -0.1? (a) j (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/140*1)\/(26\/((-546)\/(-35)))\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218*w - 4*w**4 + 11*w**4 - 186*w wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -116. Let p be (3 + g\/(-9))*-3. Let w = -2 - -5. Calculate the highest common divisor of p and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.047 + 0.047022. Round l to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*2*sqrt(1088)*-4)**2 + ((3*sqrt(102))\/sqrt(2))\/((3*sqrt(36))\/sqrt(12)).\nAnswer: -3839*sqrt(17) + 2506777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*a - 6963 + 557 = 0, -4*x + 2*a = -12828. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = 3*k. Let c = 255 + -231.3. Let u = -24 + c. What is the nearest to 1\/3 in u, 1, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 5\/8 (c) -0.6 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 2011.652.\nAnswer: -60.34956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 5*b**4 + 130*b**3 + 130*b**2 - 125*b - 125 = 0 for b.\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 12 = -16*t + 14*t, -2*a - 1 = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2080 + -1193. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 + v**2 + v - 1. Let g be i(1). Let d be (-8)\/(-6)*(-18)\/g. Let m(b) = -b**2 + 6*b + 7. Is m(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from ssuuuusuuuvuusuvuusu.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*p - 71. Let h = -66 + 75. Let i = h - p. Calculate the highest common divisor of i and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = l + 1251, 5*j + 11*l - 10*l - 3138 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*a + 278 + 222*a - 51*a - 57*a - 60*a to l*a + f and give f.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/77 and 33\/23191.\nAnswer: 255101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8432648*s**2 + 3 - 8432827*s**2 - 3 + 16865291*s**2.\nAnswer: -184*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**4 + a**3*h + 33*a**3 + 12*a*h - 10*a wrt a?\nAnswer: 24*a**2 + 6*a*h + 198*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i**2 + 4 + i**2 + 3*i**3 - 5*i**3 + 2*i**4 - 4*i + 8*i**2 to t*i**4 + v*i**3 + b*i + x + a*i**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 66*u - 2 = -67*u, 2*s + 7 = -3*u. What is the remainder when 6 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-126))\/(46\/(-161))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**2 + 34*l + 8. Calculate g(10).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -58 + 63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let u = 66.9 + -70.91. Let n = u - -0.01. What is the closest to x in 0.3, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 206 = -2*a, 4*a - 5*s = -17 - 39 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 76*n**4 + 26*n**4 + 5*n**2 + 9*n + 27*n**4 - 2 + 25*n**4 in the form g*n**2 + b*n**3 + s + q*n**4 + p*n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355 divided by -941568.\nAnswer: -355\/941568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**2 - 5*f + 4*f**2 - 4*f - 13. Let o be c(4). Let q = 139 + o. What are the prime factors of q?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 25 = 0, -v - 4*v + 50 = -4*c. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 1, m: 3, d: 4, z: 1}. What is prob of picking 1 j and 1 d?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 - 108 = -9*c. Let p(m) = 3*m - 1. Determine p(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1534?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/7, 0.138, 1\/7 in decreasing order.\nAnswer: 1, 2\/7, 1\/7, 0.138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vowowooovvoow. Give prob of picking 3 v.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12710.047 + -12674. Let o = 0.047 - h. Let v = o + 36.34. What is v rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**4 - 3*l**4 - l**4)*(-4 + 1 + 5) - 4*l**4 - l**4 + 3*l**4)*(4*l + 2 - 2).\nAnswer: -24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 421 (base 11) to base 3\nAnswer: 200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k = -18*k - 133 + 78 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:43 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 16, o: 4}. What is prob of picking 2 q?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425 + 609. Suppose 0 = -6*t - 22 + s. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17219, 34385, 51553, 68723, 85895?\n\"Answer: v**2 + 17163*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.08. Let f be -10 + (-4)\/4*1. Let h = -0.94 - -1.14. Put h, f, d in ascending order.\nAnswer: f, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, s: 2}. Give prob of picking 1 p and 2 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 = 78*w + 46 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 - (-11)\/(-3) - (-19816)\/6?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z + 30652527 - 30652527 + 106*z.\nAnswer: 52*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 680695 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: What is -201565405 (base 7) in base 14?\nAnswer: -17bb2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11119*u**3 + 3*u + 11120*u**3 + 0 - 3 + 19*u**4 + 5 - 5 + 2*u**2 to f*u + x*u**3 + w + r*u**2 + a*u**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -6\/7 (b) -0.6 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -1253.\nAnswer: 90\/1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 32. What is n(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81244 and 55588?\nAnswer: 1056172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 698, 1103, 1648, 2333, 3158, 4123?\n\"Answer: 70*b**2 + 195*b + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -5 (c) 2 (d) -1\/2 (e) 0 (f) -35\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3591 divided by 1197.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -8. Let z(a) be the third derivative of a**4\/8 + 11*a**3\/6 + a**2. Let k(w) = 3*w - w + 48 - 41. Determine u*z(g) + 8*k(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*d - 36*d - 48*d in the form n + g*d and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 87*d**2 + 89*d + 207. Does 75 divide a(87)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9497013*h**3 - 2*h**2 + 13531328*h wrt h.\nAnswer: 56982078*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28209 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.81 + 6.8091889. What is a rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-6) + (-10)\/(-30). Suppose -576 = -0*c - d*c. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/5 and -85\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 27*k**2 - 10*k - 2. Let y(g) = -g**3 - g**2 + 2*g + 1. Let s be y(-1). What is the remainder when b(s) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-214)\/40 - (-8 + 2)) + 3 and 15\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.925 - -0.075. Let p = m + -65. What is the biggest value in -0.5, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72, 222, 466, 810, 1260, 1822?\n\"Answer: h**3 + 41*h**2 + 20*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3. Let q(k) = -25*k**3. Give q(o) + 5*x(o).\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3544 (base 6) to base 2.\nAnswer: -1101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 8:58 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -46. Solve s = 3*y + 6*s + 35, -s + 6 = -i*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78.28 in 0.02, -4, -3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 82\/953?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14139664?\nAnswer: 2, 7, 11, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352745, 352738, 352727, 352712?\nAnswer: 352693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 10. Let b be s(6). Let n(j) = -j**3 - 2*j**2 + 2. Let m be n(-2). Let x be (8 - 4 - -6)\/m. Solve x*i = 4*a - 21, 15 = -3*i + b*a - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/304 and 55\/418304.\nAnswer: 418304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3 - 6 - 11 - g - 4*g. Let x be m(-6). Differentiate -5 + 4*c - 8 + x with respect to c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*c*m**2 + 3*c*m*s - 6*c*s + 50*m**2*s + 2*m*s wrt c?\nAnswer: -22*m**2 + 3*m*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 + 229. Calculate the common denominator of (-250)\/u*(189\/(-35) + 6) and (-2330)\/360 - (-3)\/1.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1326245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5204 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*d**3*q + d**3 + 135*d**2 wrt q?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.37, -27\/22, -2\/7, -0.09, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -5. Suppose -2*l - 5*y = -l - 16, 110 = 5*l - 5*y. Suppose 1 = 11*d - l. What is the greatest common divisor of d and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*a = -a + 21, a = -4*o - 19. Let r = 32 - o. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 6*t - 26, 0 = 4122*i - 4123*i + t - 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-5 + 20 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 286*u**2 - 1425*u - 21. Calculate k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 - 3*r + 5. Let i(n) be the third derivative of 3*n**5\/20 - n**4\/4 + 3*n**3\/2 - 13*n**2. Give -3*i(o) + 5*j(o).\nAnswer: -2*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -259*q. Let f(d) = 2*d. Give i(f(o)).\nAnswer: -518*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b\/(b*b**(-1))*(b*b*b*(b\/b**0)\/b)\/(b**(1\/5)\/b))**(-6) assuming b is positive.\nAnswer: b**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x*x*x\/x**(-3)*x)**(1\/43) assuming x is positive.\nAnswer: x**(10\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -14\/2750493?\nAnswer: -14\/2750493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 810\nAnswer: 12150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.926 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m - 3410 = -272*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -1111100?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81834 and -0.0606?\nAnswer: 81833.9394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 12*q - 10. What is j(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -2073.\nAnswer: -2082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7496026986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1679824, 1, -17 in descending order.\nAnswer: 1679824, 2, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 34*h**2 + 13. Let f(d) = 6*d**3 - 2*d**2 - d - 2. What is the remainder when f(2) is divided by t(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 19 = -82. Let o = -32 - v. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 5436.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677690.\nAnswer: 2, 5, 37, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 24*b**2 - 7*b. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*p + 2036 = 0. Let j = p - 23. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819815, -819814, -819813, -819812, -819811, -819810?\nAnswer: -819809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4 = c + l, -c + 3*l = 0. Let s be 1*c\/9*-3. Suppose 0 = 3*x - 11 - s. Solve 4*y + 7 = 3*h, x = -2*h + 4*h - 3*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 644125 * -30.\nAnswer: -19323750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376 is divided by 147.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2 (c) -580 (d) 2 (e) -377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 4*b. Let t(j) = j**3 - 9*j**2 + 9*j - 5. Let o be t(8). Suppose 10 = -o*c - 5. Let w(r) = -r**3 + 2*r. Give c*w(a) + 3*i(a).\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(54\/300). Let i = s + 3. Let n = -5 - -4. What is the third smallest value in n, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-80)*14*(4\/10)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2024 divide 187426448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -0.09, 2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -82. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/29, 0.5, -2\/5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000066739039 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0 - 3 + (-2*k - 2 + 2)*(1 + 3 - 5) + k - k + k + 2 - 2 - 2*k - 4*k + 6*k + 2*k)*(-2 + 2*k + 2).\nAnswer: 6*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 10*t - 5. Let p be u(-10). Let y be (-1 - -1)\/(p\/5). Suppose -3*w + 7 = -y*w - z, -3*z = w + 1. Sort w, 4, 1.\nAnswer: 1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 258*c + 197 - 150*c - 147*c. Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:58 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**3 + 7*o**2 + 5*o + 5. Let w be r(-4). Let m = w + 424. What is the remainder when 313 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*i - 1. Suppose 3*o - i*b + 6 = -6*b, 4 = -2*b. What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267881264 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 34*t + 710. Calculate the remainder when w(-12) is divided by 158.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23932818485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*c**3 + 287 - 111*c**3 - 4586.\nAnswer: 3*c**3 - 4299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1)**(2\/19))**(26\/9)*(d**(-1\/2))**(-2\/13)\/(d**4*d\/(d*d**2)*d) assuming d is positive.\nAnswer: d**(-38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20129144 by 14.\nAnswer: 1437796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/((-196)\/(-1792)).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.3 (c) -17 (d) -2\/3 (e) -118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.1 + 11.4. Let m = -3.2 + a. Round m to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.1, -0.2, 4, -10, -2?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441\/12 + (-2)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8863*s**5 + 108*s**4 + 15*s**3 - 316771*s**2 - 378 wrt s.\nAnswer: -531780*s**2 + 2592*s + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13656105 to the nearest one thousand.\nAnswer: 13656000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 8*s**5 - 3*s**3)*(-4 + 4 - 1) - s**5 - s**5 + 3*s**5.\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-286))\/(2464\/(-4235))?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -725\/488 - 7\/488. What is the third smallest value in -5, -13.4, -3\/4, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c + 413 + 377 + 1168 = -48*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 8. Let s(l) = -5*l - 21. Let t be s(-5). Let j be m(t). Suppose -4*n + 168 = 3*a - 5*n, a - j*n - 67 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8906 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:49 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 11:05 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64617 + 5?\nAnswer: -64612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.4381 + 0.8585314.\nAnswer: 12.2966314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24511.072 + 24447.071898. Let n = t + 64. Round n to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**2 + 761324*p + 217520.\nAnswer: 2*(p + 54380)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 3 + 2\/3*s**3 + 0*s**2 - s. Find the first derivative of l(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*h**2*w**3 - 3*b**2*w**2 + 26*b*h**2*w**3 + 2*b*h**2*w**2 + 4*h**2*w**2 + 5*h**2*w wrt w.\nAnswer: 12*b**2*h**2 + 156*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -353755, -707516, -1061277, -1415038, -1768799?\n\"Answer: -353761*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1, -77, 41, -2, 8 in decreasing order.\nAnswer: 41, 8, 1, 0, -2, -3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32900868 divided by -52.\nAnswer: -632709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-49)\/(-14) + -3 + -3*(-56397)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**3 + 7*p**2 - 9*p + 12. Let x be q(2). Let i be (-6)\/(1 + x\/(-63)). Calculate the highest common factor of i and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2721, 113, 4 in descending order.\nAnswer: 2721, 113, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 648*f**2 + 1244*f**2 - 586*f**2 + 2116*f**2 as w*f + a + d*f**2 and give d.\nAnswer: 3422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose -144742 + 30262 = -k*l. Let p = l - -57760. Round p to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13352 is divided by 3280?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*(-156)\/(-8). Let w = f - 24. Solve -11 = w*o - 3*v, v = -5*o + 5*v - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4694 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0481 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82904\/5 + 16579. What is the nearest to i in -2, -4\/5, 1, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 8. Let g = 439 - 436. Determine u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -15. Suppose -3*p = -0*p - x. Suppose 0 = -5*b - p + 32. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60827449.\nAnswer: 1619, 37571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -100.61 (c) 1 (d) -3\/118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 1, j: 2, r: 1, i: 1}. What is prob of sequence iph?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 + 3*y. Let k be z(-6). Let v = k - 16. Suppose -3*d + 6*m - m = -218, v*d - 5*m = 142. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*u = 193, -5*j - 7*u + 1100 = -5*u. Which is smaller: 217 or j?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 30*d**2 + 11*d - 5. Let n(f) = -15*f**2 - 5*f + 2. Calculate 5*n(j) + 2*x(j).\nAnswer: -15*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 504247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1870*s = -9539 - 51530 - 56741 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 8 (c) 713\/5 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.98994238 to 2 dps.\nAnswer: -29.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x + 2*x)*(0 + 0 - 3*x**3) - 4*x**5 - 3*x**5 + 3*x**5.\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31804 is divided by 1983?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -13, 5, 0.4, -2\/9 in decreasing order.\nAnswer: 5, 0.4, 0, -2\/9, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -760\/1379 + -4\/197. Which is the nearest to -8? (a) t (b) -31 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92577.63ml to litres.\nAnswer: 92.57763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 61*q - 65*q. Suppose -32 = -q*w + 23*w. Suppose -60 = -6*x + x. Calculate the greatest common factor of w and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76.641 + -3.199. Let t = o - -80. Round t to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a day in minutes?\nAnswer: 19080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209527.\nAnswer: 191, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.157 and -134032.\nAnswer: -134031.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6503 - 58405\/9. Let i = 14 - s. Which is the second smallest value? (a) 5 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12231 - 8606. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*w - 55 = 0, -5 = -7*w + 2*w. Suppose -b + 4*z = -41, -3*z + l = -5*b + 150. Calculate the remainder when b is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 5\/((-5)\/(-2)). Let m be 1\/5 + 8\/(-40). Let v(n) = n - 3. Let j be v(m). Sort 4, j, x in ascending order.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 132*m - 49. Is y(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296450 and 294.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98587997*u**5 - 57954676*u**2.\nAnswer: 5915279820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 9*l**2 - 10*l + 4. Let x be t(-10). Let o be (-4 + x)\/(2\/1). Which is greater: 4\/49 or o?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = r - 25, -5*r = 4*y - 7 - 13 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 139, 0.1, 2\/117?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 170, 323, 568, 905, 1334?\n\"Answer: 46*n**2 + 15*n + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.27 - 1.77. Which is the smallest value? (a) d (b) 0.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232 + -42?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91 - -168) + -11 + 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 + -149. Calculate the remainder when 47 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51\/7 in -0.1, 3\/5, -3, 352.92?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**0))**(-1\/16)\/(c*c**(-3\/5)*c*c\/(c\/(c**8*c*c))*c*c)*(c**1*c**5*c)**(-38) assuming c is positive.\nAnswer: c**(-1397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -0.7. Let b = 11 - 12. Let z = 4 - b. Put c, z, 0 in decreasing order.\nAnswer: z, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*m**2 - 72536*a**3*p**3 + a**2*m**2*p**3 - 248*a**2*m**2*p + 392*a*m**2*p**2 wrt p?\nAnswer: -435216*a**3 + 6*a**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 18. Let s = g - 2. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) - 94\/4. Let v be (-28)\/(-3) - (-8)\/o. Suppose v = -5*x - 11. Is x at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*u + 21, -9 = 12*u - 13*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4) + -8 + -5 + 0 + 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-77)\/(-21))*12\/(-112).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5453 - 5431. Solve 0 = 5*t - 5*h + h, -3*t - 2*h + s = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 232, 342, 450?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -14659, 0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331832 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 810\/(-108)*(-1 - 1). Solve l = u + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 2}. What is prob of sequence ft?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 65\/39*(-96)\/10*129\/172\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081331253?\nAnswer: 53, 1949, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3512237286439 - -7\nAnswer: 3512237286446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7 + 3*x + 0*x + 25 + 7 + 20. Let g be d(-18). Solve 15 = -5*a - 4*k + 5*k, g*k - 9 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 313.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921866?\nAnswer: 2, 11, 41903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(28)\/sqrt(7)*4).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y + 8*y. Suppose 5*w = -v + 288, -1177 = -y*v - 4*v + 5*w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 854 by 81.\nAnswer: 854\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*15\/(-20)*6\/(-45). Suppose 35 = -u + 6*u + 5*w, -4*u + 22 = 2*w. What is the second biggest value in g, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/((-12)\/(-20)))\/(-1). Let g be w\/((-5)\/(-4)) + -2. Let m be (2\/(-15))\/(2\/(-10)). Is m <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4\/13, -0.5, 28\/19, 125?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by 154.\nAnswer: 75\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -43, -91, -191, -361, -619?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 3 + 0 + 3 + 8*b**2. Let k be ((-20)\/(-25))\/(2\/10). Suppose -2*y - 3*z - 8 = -1, -k*y - 4*z - 8 = 0. Calculate r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/88 and (-266)\/(-20)*-3 - 6\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4759893512 rounded to five dps?\nAnswer: 0.47599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/60 + 7*n**4\/18 - n**3\/2 - 54*n**2 - n + 646. Solve q(o) = 0.\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 5*w. What is the derivative of 44 - 4*q**w + 10 - 23 + 21*q**4 wrt q?\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 - b - 5. Let k(m) = -m**2 - 1. Give 4*k(j) - z(j).\nAnswer: -j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6858 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 580*u + 12109 + 3129 - 2854 + 6756 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7922, -7916, -7910?\n\"Answer: 6*h - 7928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-16 - -24) + 9 + -27\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1767000 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.29028cm in micrometers?\nAnswer: 62902.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 1. Let k(v) = 57*v + 6. Calculate -k(x) + 5*t(x).\nAnswer: -47*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946427?\nAnswer: 3, 7, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -1 - 7. Suppose -431 = -3*r + 3*w - w, -t*r = w - 299. Suppose 0 = 5*k - r - 63. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 + 9*v - 4. Suppose z - 1 = 4. Let i be r(z). Suppose -m + i = -50. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14))\/(-1)*(-14)\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 257*a**4 + 281*a**4 - 619*a**4 - 820*a**2 + 320*a**2 wrt a?\nAnswer: -1944*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, l: 1, y: 7, n: 2, v: 8, x: 1}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose 5*a = 15, k*a = -2*n + 13 - 3. Solve -n*w + 6 = 2*i, -2*i - i - 5*w + 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(20\/(-138)))\/(9*13\/78)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33815*a*i**3 - 8*a*i + 13*a - i**3 - 9*i + 2 wrt i?\nAnswer: -202890*a*i - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48580 and 420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.029454283141 and -6061?\nAnswer: 6060.970545716859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3666)\/3713 + 2\/2)*-2?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 17*u**2 + 15*u + 17. Suppose -m + 0*m - 4*x - 20 = 0, -5*m - 2*x - 82 = 0. Let f be o(m). Solve 0 = 5*v + 4*k + f, -2*v - k = 2*k + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187501 is divided by 62476.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/889552 and -51\/1476992.\nAnswer: 78280576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 116, -55541, -51?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 138*l**2 + 15*l + 1. Let b = 18 + -20. What is the tens digit of j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -9. Let d be 107\/(-7) - (-12)\/42. What is the units digit of ((-48)\/b)\/((-6)\/d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66834200.\nAnswer: 2, 5, 334171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g - 6 = 0. Suppose -52*z = -49*z - 5*a - 42, -5*a = -30. Calculate the lowest common multiple of z and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -37\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1668 - 42*r + 1668)*(3*r - 3*r - r) + 5*r**2 - 5*r**2 - 4*r**2 - 2 - r**2 + 2 + (1 + 2*r - 1)*(1 + r - 1).\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1169 - 670. Suppose 0 = 3*t + k - 2764. Calculate the common denominator of (6\/15)\/((-36)\/t) and -27\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x + 273*x + 188*x - 6544 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (3 - (6 + 2) - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 100*b - 15312.\nAnswer: 2*(b - 66)*(b + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5\/2 - 15*o**3 + 30*o**2 - 45*o\/2 + 6.\nAnswer: 3*(o - 1)**4*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 657630517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (158\/(-237))\/(12\/(-54)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (5 + -8)) + 0 + 21. Suppose -25*i + o*i + 15 = 0. Solve h = 5*v + 27, -i*v = -h + v + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by 58\nAnswer: 71\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 0, 54*q + 4 = 58*q + 3*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -23095.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 4 - (-15 + 18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -841, 3, -1\/8.\nAnswer: -841, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -98, -227, -410, -647, -938?\n\"Answer: -27*f**2 + 6*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73683, -147351, -221019, -294687, -368355, -442023?\n\"Answer: -73668*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282a5 (base 11) in base 10?\nAnswer: 201338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1588554\/49 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1945.7.\nAnswer: 778.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-22)\/11)*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 920712707 to the power of 1\/2, to the nearest integer?\nAnswer: 30343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2630 - -2640. Are -29 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*q + 3 - 4, -2*d - 5*q + 25 = 0. Let g be 0*(2\/(-4) + 1). Put g, 3, d in descending order.\nAnswer: d, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -4 + 20\/5. What is the derivative of -6*s**3 + 4 - m + 2*s**3 - 5 wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1110, 3765, 7962, 13701, 20982?\nAnswer: 29805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 0. Let q(m) = -m + 9. Let b be q(k). Suppose -b*v = -w - 2*w - 138, -3*v = w - 130. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(847) + sqrt(847) + sqrt(847) + -3*sqrt(847) + sqrt(847) + 2)**2.\nAnswer: -22*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-15)*g*g**(-5) assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 23476*l**2 + 117256*l - 140736.\nAnswer: 4*(l - 1)*(l + 6)*(l + 5864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -141, 725.\nAnswer: -141, -4, -2, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 2*r + 32. Determine g(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/3684690 and -157\/900702.\nAnswer: 40531590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1463 - 1459 + 3006)*(2*l + 4*l - 7*l) - l - 2*l + 4*l + (2*l - 1 + 1)*(2 + 1 - 2).\nAnswer: -81*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/120 - b**5\/12 - b**4\/24 - 2*b**3\/3 + 2*b**2. Give k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -3.08. Let n be (2500\/70 - -6) + 4\/(-1). Let t = n + -1313\/35. Which is the fourth biggest value? (a) 0 (b) t (c) -5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13371 - 7566 - 6831)*(-106 - 5*n + 106) to h*n + c and give h.\nAnswer: 5130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62600504*t**3 + 43590276 with respect to t.\nAnswer: -187801512*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}