diff --git "a/data/dm_maths/full_data_2/10743_11255.jsonl" "b/data/dm_maths/full_data_2/10743_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10743_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3310 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from ybzyx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 323002667 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 11) + -57 + 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53*57*(-1)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15407692 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 68*l - 32. Let j be p(-8). Solve 516 - j = 10*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 94*u**2 + 31. Let l(n) = 188*n**2 + 61. Let s be 94\/18 + 20\/(-90). Let o(v) = s*g(v) - 3*l(v). Differentiate o(k) with respect to k.\nAnswer: -188*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/70 and 223\/91140?\nAnswer: 91140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/630 - j**6\/180 - j**5\/180 + j**4\/36 - 49*j**2 + 75*j - 1. Let l(y) be the first derivative of c(y). Solve l(p) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 132575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93684.599 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 7:45 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**3 + t - 2. Let m be y(1). Let n(b) be the first derivative of 38*b**3 - 39*b**m + 11 + 16. Let v(p) = -17*p**2. Determine n(v(a)).\nAnswer: -867*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11\/4, -61, 9, 17, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.21006 (c) -0.06 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 7956973714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m - 455*m = 145 + 334 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19225, -4, 2 in decreasing order.\nAnswer: 19225, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-99)*18*(-15)\/(-330)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 130. Let h = 27\/2 - 14. What is the closest to -2\/15 in m, h, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 200*h - 1666. Let s be q(8). What is the third smallest value in 3, -12, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*35\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621200 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/295776 and -19\/48.\nAnswer: 295776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4765 * 0.6\nAnswer: -2859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 24*k - 78 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21785131322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(35\/(-28))\/((-2)\/(-8)). Let y(m) = 95*m + 8. Is y(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261151.62 - 864.\nAnswer: 260287.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x**2 + x - 1. Calculate g(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*611.8.\nAnswer: 1223.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*c + 7*o = 66*c - 53, o = c - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -3 (c) -9\/2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = t - 16, 4 = -0*t + t. Let q(j) = 2*j**2 + 18*j - 4. Let f be q(4). Suppose -148*x = -143*x - f. Solve k*a + x = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 4*c)*(-7*c + 8*c + 27*c) - 3*c**2 - 2*c**2 + 3*c**2 as d*c**2 + b + m*c and give d.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1405 = -10*y + 1645. Let o = y - 112. List the prime factors of o.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 489\/9 - (-3)\/(-9). Let a be n - (-1 + 0 + 2). Suppose -t = 4*d - a, 0*d + 35 = 5*d - 5*t. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a - 50. Is (-4)\/(1*2\/a) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-636)\/(-265) + 6\/10 + -1. Solve -b + n + 3*n = 12, -t*n = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 49*v - 1. Let b(c) = 64*c + 1. Let i be b(0). Calculate y(i).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 + 709*b**2 + 148*b + 24. Calculate a(142).\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 412658 and 112897?\nAnswer: 11967082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 15 - 5*r + 8*r. Let t(b) = -7. Calculate 13*t(g) + 6*v(g).\nAnswer: 6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 8*v - 16. Let l be c(10). Suppose l*a + 328 = 2*n, -5*n + 5*a + 765 = 6*a. Does 32 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2936.5 - 2937. Sort g, 0.21, 3.1, -0.2.\nAnswer: g, -0.2, 0.21, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 2*x + 57 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-8918.6\nAnswer: -8919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1219 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16926 divided by -18776?\nAnswer: 8463\/9388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-54)*(-54)\/(-12) + (-14 - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4772\/7 - 690. Calculate the common denominator of d and 97\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(((i**(-4\/3)\/i)\/i)\/i*i*i)*i*i))**24\/((i**1*i)\/i)**(-47) assuming i is positive.\nAnswer: i**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**4\/2 + 5*q**3\/6 + 200*q**2. Let u(n) = -n**2. Determine x(u(p)).\nAnswer: 12*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddysdsssds. Give prob of sequence dy.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 74*z - 432. Let u be b(6). Suppose 3*p - 4*y - 17 = 27, p - 14 = y. Are u and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 11 - 67. Calculate the highest common divisor of 28 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = 17. Sort -6, 3, g in ascending order.\nAnswer: -6, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1073, -0.3, 6 in descending order.\nAnswer: 1073, 6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37295654?\nAnswer: 2, 11, 17, 99721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 + 86*u**2 - 704*u + 1338. What is s(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 16*k**3\/5 - 17*k**2\/5 + 6*k\/5.\nAnswer: -k*(k - 1)**2*(5*k - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21530716 - 11?\nAnswer: 21530705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -295*w - 296. Calculate c(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -83. Let o be 32\/48 - h\/(-3). Suppose -d - 3*b - 1 = -o, 2 = -b. Calculate the remainder when 25 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/((-8)\/(-3)) - -2. Let f = 44 - 34. Let v = f + -41. Which is bigger: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + v - 5, 3*q = 6*q + v + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000566672922 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*z - 78, -4*l + 0*z = 3*z - 62. Let k = -5151 + 5160. Calculate the remainder when l is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/10)\/((-4)\/(-10)). Suppose 2*n + h - t = 25, -60 = -4*n - 4*h. Let c = -8 + n. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29201 and 0.3?\nAnswer: 0.087603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2255 divided by -202\nAnswer: 2255\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 1 + 1)*(8*h + 26 - 26)*(-h + 4*h - h).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.1. Let j = 0 - -3. Let p be 2 + ((-5)\/(-35) - 298\/126). Which is the closest to t? (a) 1 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1180 divided by -5\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39862381 less than or equal to 39862382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114\/8*36\/(-45). Is -10 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*x = 16, 58*v + 702*x = 707*x - 86 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = -7*z + 18*z. What is the derivative of -77*q - 80*q + z*q + 23 + 9 wrt q?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Two letters picked without replacement from mmmq. What is prob of sequence mm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069547166 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**5\/5 - 12292*p**4\/5 - 110964*p**3\/5 + 36884*p**2\/5 + 308272*p\/5 - 221904\/5 = 0.\nAnswer: -9, -2, 1, 3082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210627*u = -210853*u + 7006 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6*h - 4*p - 1920, 0 = 5*h - 2*p - 1930. What is the highest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*s - 112 + 238 - 122)*(2*s + 2 - 2) - 7*s**2 + 9*s**2 + 34*s**2 to the form t + y*s + b*s**2 and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/12 - 7*w**2\/12 - w.\nAnswer: -w*(w + 3)*(w + 4)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/8*(-4)\/(-6)*72\/1377.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y - 42 = -5*d, -3*y = 5*d - 29. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*t - 1059433 = -9743*t - 3870*t + 382871 for t.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-2))\/(-38 - -41). Solve 8*z - 4*z = -2*y + a, -z - 7 = 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + -10 + 33 - (-4 + 1 + -3)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249.38 - 243. Round o to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + n**4 + n**4)*(-4 + 4 - n) + (3*n - 3*n - n**5)*(7 - 1 - 4).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 316 - 104. Let f = 86 - g. What is the third derivative of -479 + 56*o**2 + 479 - 19*o**f - 40*o**3 wrt o?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 34582921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 13*l - 19*l - 37*l - 12*l - 20*l + 94*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(4*a + 2*a - 4*a + (-4 + 2 + 5)*(-169 - 15*a + 169)).\nAnswer: 43*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -9) + 63389 + -38 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**3 + 4*g**3 - 20*g**3 + 5*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d**3 - 6583*d - 6583*d - 6575*d - 6587*d - 56*d**3 + 26328*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = -2*x, y = -4*y - 15. Let d(m) = -x*m - m**2 + 8*m**2 + 3*m**3 - 2*m**3 - 6. Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/34 - (-696108)\/357 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2*c - 2. Let w be v(0). Calculate the smallest common multiple of 6 and (1 + -14)\/(w - -1).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -0.2, -6\/215, 0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(j + j - j - 4 + j + 4 + (0 + 2 + 0)*(-2*j + 4 - 4) + j + 0*j - 2*j) - 2*j + 0*j + j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 10. Let u = 7 + l. Let w = u - -7. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*8\/4*1. Suppose -5*a - 1 = n*t - 25, 0 = 2*t - 4. Let g(o) = 5*o**2 - 5 - 4*o - 2*o**3 + 3*o**3 - a*o. Determine g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5830, 11521, 17212, 22903, 28594?\n\"Answer: 5691*m + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 134. Calculate the remainder when 205 is divided by l(22).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/(-110)*(-25)\/2. Suppose -c*m + 1770 = -l, -2*m = -3*l + l - 716. Does 62 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 = -4, 2*o + 3*s + 5 = 0. What is the derivative of -2 + 0 - 2 + o*w + 3 wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4.99808. What is s rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (567 + 23155*i - 1276 + 709)*(2 - 1 + 0)*(-3 - 1 + 6).\nAnswer: 46310*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - -0.18. Let j = -270 + 390. Let g = -120 + j. Which is the second smallest value? (a) g (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 8*g - 7. Let u be l(6). Suppose u*q = 1141 + 60359. What is q rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 192633.\nAnswer: 2\/192633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 10\/(-3). Let y(m) = 23*m - 501. Let z be y(22). Let w(h) = -3*h - 43. Let x be w(-15). Solve -4*f + 2*f + s*j = -x, -z = 3*f - 2*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(8))\/sqrt(3) + -5 + (6*sqrt(175) - 1*(sqrt(28) + sqrt(7))))**2.\nAnswer: -280*sqrt(7) + 5513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 104*o + 108*o - 215*o - 26, v - 2*o - 23 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 897*d - 3*d**2 + 1135*d + 644*d - 298*d + 666*d to i + f*d**2 + h*d and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83 + x + 33 + 34)*(15*x**3 + 11 - 11) to m*x**4 + t*x**3 + z*x + s + d*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*15\/2\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -110, -373, -886, -1733, -2998, -4765?\nAnswer: -7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -5, 26\/37, 0.4, -3 in decreasing order.\nAnswer: 26\/37, 0.4, 1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/183190 and -67\/90.\nAnswer: 1648710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16272743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 8\/4817, 2\/3, 2?\nAnswer: 8\/4817","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = -4*l - a, -3*a = l. Suppose l*v = -2*r + 21 - 1, 3*r - 32 = -5*v. Solve 4*x + v = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67532 and 16?\nAnswer: 270128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 + 451*19\/627?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5966912.\nAnswer: 2, 7, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/7)\/((-1160)\/20300)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*v + 5*y, 5*v + 2*y + 5 = -25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188181 and 21231?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -17, 7, -0.3, 10218?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let n be 10\/30*-1 - 7\/(-3). Let r be 7\/n - (-45)\/(-90). Put -2\/23, v, r in increasing order.\nAnswer: -2\/23, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*d**2 + 9*d + 192 + 107 - 9*d.\nAnswer: -366*d**2 + 299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(3\/(-1) - -1). Solve -m*y - 4*s = 36, y + 2*s = 3*y - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 16*z**2 + 14*z - 1. Is u(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -15. Let z be ((-13)\/52)\/(s\/(-6)). Find l, given that -3\/2*l**4 + 9\/4*l**3 + 0*l + z*l**2 + 0 - 9\/4*l**5 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(4\/7))\/(t\/(t*t*t**10*t*t)))\/((t\/(t**(-18)*t))\/t)**23)**(-4\/9) assuming t is positive.\nAnswer: t**(3524\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57, -76, -83, -72, -37?\n\"Answer: c**3 - 26*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -253. Calculate the common denominator of -79\/2 and 20\/(-130) - l\/(-234).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838639 is divided by 161?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1251.13399 + -2.82399. Let i = w - 1262. Let q = i + -0.31. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -671 - -666. Which is the second biggest value? (a) 169 (b) j (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4670, -37361, -126102, -298919, -583838, -1008885, -1602086, -2391467?\n\"Answer: -4671*v**3 + v**2 + 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/3 + 283142*x**2\/3 - 4*x\/3 - 1132568\/3 = 0.\nAnswer: -283142, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(-1 - -13). Suppose b - s*b - 170 = 0. Let p be -4*b\/(-16)*-2. What is the greatest common factor of p and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*u - 1843 - 4181 = 1326 + 1950 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 + -176. What are the prime factors of (65*9\/36)\/(w\/(-28))?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 1. Let h(s) = -s**3 - 6*s**2 - 5*s + 5. Let n be h(-5). Let v = n + i. Solve -3*f + 2*c = -c + 3, -v*f - 4*c - 36 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1739 or 1?\nAnswer: 2\/1739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 8:47 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**2 + 1\/4*y**4 + 1\/720*y**6 + 0 - 3*y - 1\/60*y**5 + 0*y**3. Let i(u) be the third derivative of r(u). Give i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.635793 meters?\nAnswer: 1635.793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p. Let d(t) = 12*t**2. What is n(d(r))?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from dadxadd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -7, 16.\nAnswer: -21, -7, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w - 240*w + 72*w + 80*w - 11*w**2 - 7.\nAnswer: -11*w**2 - 20*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5 - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*630\/120?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejj. Give prob of sequence jeje.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3 + 3)*((-3 + 4 + 0)*(-1 - 2 + 21) - 1 + 0 + 4).\nAnswer: -84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/9 - 107534*a + 10643688 = 0?\nAnswer: 99, 483804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y**3 + 608432*y**2 + 1014012*y - 405608 = 0 for y.\nAnswer: -50701, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -4\/15 (c) -3 (d) 4 (e) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (-3)\/(-6). Let v(g) = g**3 + g + 10. Let s be v(h). Solve 2*o - 4*w = w + 23, 2*w + s = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:18 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -864 + 1114. Is y less than 250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 179946?\nAnswer: 1799460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -182\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = 0. Let v(b) = -b**3 - 8*b**2 + 25*b + 53. Let j be 29*(-2)\/6 + 4\/(-12). Let w be v(j). Solve -4*s + w*s = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1. Let m(t) = -t - 1. Let i(b) = -m(b) - s(b). Let k(f) = f**3 - f - 4. Let r be k(0). Determine i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 - 9*v + 4. Give d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 897586578 or 897586580?\nAnswer: 897586580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 - ((-5 - 23) + 44 - 28)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aac - 67?\nAnswer: -b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from jeeeeeeeejewejeejj.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9212\/8 + 4\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let i(l) = l + 3. Let q(s) = s + 2. Let k(v) = 2*i(v) - 3*q(v). Calculate p(k(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*u + 6. Let t(c) = c**3 - 9*c**2 - 2*c + 15. Let n be t(u). Is (0 - n)*(-44)\/(-33) + 465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 + -514611?\nAnswer: -514520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**5 - 3*h**4 + 437*h.\nAnswer: 120*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24775993 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.2 (c) -2\/945 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 10*q - 11. Let z be f(10). Let p = 64 + z. Suppose 4*b - 4*g - 52 = 0, 7*g + p = 4*b + 4*g. Calculate the lowest common multiple of b and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:10 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -26*p + 40*p + 194, 5*n = -p - 33 - 10 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 332.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 45*a + 70. Calculate the lowest common multiple of z(47) and 20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -344*n - 20*n - 331 + 6519 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244340 and 46265?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 8.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/11 (b) 0.2 (c) -1.2 (d) 0.1 (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442492.\nAnswer: 2, 110623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from bbdblkpkpbkbpddbpbd?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-2))\/(4\/60). Let m be (29\/(-5))\/(3\/u). Suppose -4 = -3*p + m. Calculate the greatest common factor of 33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/4 + 185*g**4\/4 + 16773*g**3\/4 - 358853*g**2\/4 - 93860*g = 0.\nAnswer: -80, -1, 0, 19, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39518273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.56l in millilitres?\nAnswer: 604560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38611820?\nAnswer: 2, 5, 13, 97, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1299 = -769. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 56 - 13. Calculate the remainder when 125 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*x + 0 + 3 - 2 + (4 - 4 - 1)*(-2*x + 2*x + 2*x) - 32 + 32 - 36*x - 2 + 2 + 2*x + (x + 0*x + 0*x)*(-1 - 2 + 4) - 2*x - 4 + 4.\nAnswer: -16*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7650\/47 or 162?\nAnswer: 7650\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 2*z**2 + 3*z. Let t(h) = h**3 - h**2 - 2*h + 1. Let g(f) = -4*t(f) - 3*v(f). What are the prime factors of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/21)\/(z*z*z**(-4\/5)*z*z))\/(((z\/(z*z**(-3)*z))\/z)\/((z**(-1\/4)*z)\/z)) assuming z is positive.\nAnswer: z**(-1909\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 39.5.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 2*q**2 + 4*q**2 + 1 + 7*q + 1. Let b be f(7). What is the smallest value in b, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5487939 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 82 + 0 - 422*j - 3.\nAnswer: -422*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(11) + 2)**2 - sqrt(11)) + (sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 0) - sqrt(1331)))**2.\nAnswer: -3*sqrt(11) + 5336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526016021 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 12 = 0. Suppose -5*r = 4*o - 45, -q*r = -0*r + o - 25. Suppose 84 = m + 2*y, 2*m + r*y - 162 = 3*y. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) 7\/2943 (d) 6 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 7 = -3*i, -i - 2*i = 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 79 - 17 = 0. Let z = 26 - p. Solve -2*d - 5*o + 19 = 0, -z = o - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k**3 + 960*k**2 + 46969*k + 90246. Let z(h) = 17*h**3 + 1920*h**2 + 93952*h + 180493. Let q(y) = -7*i(y) + 4*z(y). Factor q(p).\nAnswer: 5*(p + 2)*(p + 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:26 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h + 720 = -151*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -w - 3*w + 36, 3*t + 3*w - 24 = 0. Suppose 5*f - 6 = -t*s - 21, 2*s + 5*f = -5. Let o = s + 2. Sort 2, o, 10 in descending order.\nAnswer: 10, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17 = -u, -4*u + 4 = -u - 4*v. Solve 0 = -u*w + 13*w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/((-1372)\/182)*4 and 46\/245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w + 40. Let i(p) = -236*p - 442. Let x(k) = 3*i(k) + 34*y(k). Calculate x(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j**3 + 3570*j**2 - 189*j - 44978. What is v(-238)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 10 - (6 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 13) in base 8?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 0 + 2 + (-91440)\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11046 is divided by 2591.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2959*y**2 - 1545*y**2 - 3*y**3 - 1414*y**2 - 5*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 85*h**2 + 122*h + 4536. Give w(87).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 82) + 3 + 59 - (117 - (2 - 0)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1174 + 9612 + 8468)*(-3 + 3 - 3*i).\nAnswer: -50718*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g = -33*g + 700. Suppose g*w = 28*w - 1584. Solve 83*t - w*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/120 + 13*l**5\/60 - l**4\/2 - 5*l**3\/2 - 2*l**2. Let b be d(12). What is the tens digit of b\/((0 - 2)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55553 is divided by 947?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 94808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c - 4*c)*(2 + 20*c**2 - 21*c**2 + 12)*(4*c - c - c).\nAnswer: 12*c**4 - 168*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-3 + -27 + 28 + 3 - (0 - 0)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401 = -17*h - 282 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xqqxqhqqxqqqqfx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - -3) + -67 - (1 + -51).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -7, -1 in descending order.\nAnswer: -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 522556*d**5 - 33 + 111*d**3 + 201 - 522553*d**5 - 219*d**2 + 51*d**4 - 114*d = 0. What is d?\nAnswer: -14, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**3 + 2*q**2 - 14*q - 13. Calculate r(-4).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 88.7. What is the nearest to -1 in 0.2, 2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/(-6))\/(1\/3). Let m(d) = d**2 - 12*d + 14. Let f be m(y). Solve 0*q - 5*q = 3*z - 7, f*z - 5 = -4*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469, 1471, 1475, 1481, 1489?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 1. Let y be 1 + (-19)\/33 + -1. Let q = -1\/11 + y. What is the closest to q in 0.1, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2 - 10. Let c = -10 + 18. Let g be (-2 + c)*22\/3. What is the highest common divisor of g and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 214618882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-517)*2684\/488.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5*f + 45, 18*f = 15*f - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2207, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*x**2 - d*x + 52*x**5 - x**3 + 19*x wrt x?\nAnswer: 4*d + 1040*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from rttrtqrtttqrqq.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33\/4 (b) -0.05 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20903802.423 and 0.1.\nAnswer: -20903802.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 + -8 - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0*g**2 + 0 - 8*g - 1\/6*g**3. Let k(y) = -13*y**2. What is v(k(z))?\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**3 + 2*j**3 - j**3 - 258*j**2 - 2415 - 394*j**2 + 81*j**2 wrt j?\nAnswer: -9*j**2 - 1142*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5 = -v, -461*s = -463*s - 5*v + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3549 - -5006. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 894150 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003289259 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30879928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2921, -2977, -3071, -3203?\nAnswer: -3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2 + 89*j**2 - 86*j**2 in the form a*j + k*j**2 + y and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -75c1d2?\nAnswer: 75c1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2 - 148910310*z - 1108714021214805 = 0.\nAnswer: -14891031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 5. Let m = 13 - 9. Let r = a - m. Solve -9 = -i - p, 2*p - r = -i + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n + 1212 - 1212 - 4*n**3 + 2*n**5.\nAnswer: 2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141927 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324342 (base 5) to base 4.\nAnswer: -2233112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2702 + 2684. Let b(f) = 3*f**3 + 17*f**2 - 17*f + 25. Let q(p) = -p**3 - 1. Let u(l) = b(l) + 2*q(l). Let i be u(t). Which is greater: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007674369 rounded to six decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170ba + 1a?\nAnswer: 170d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(1100)*1) + 0 - (-1 + 3 + sqrt(1100) + sqrt(1100) + -2*(sqrt(1100) + 4 + sqrt(1100))))**2.\nAnswer: 120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 17. Suppose -3*l + y = 2*l. Suppose -3*j + 75 = -3*c, 4*c = -5*j + 3*c + 101. Calculate the remainder when j is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + sqrt(200) + sqrt(200)*-1 + 2)*-6 + -3 + sqrt(200) + (sqrt(200) - (-2*sqrt(200) + -2)))**2.\nAnswer: 520*sqrt(2) + 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/(-282)*((-8)\/(-6))\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**2 + 10*y**2 - 16*y**2 + 17*y**2 + 8*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*p + 2*g, -p - 3*g + 6 = 3. Let o be 0 + (p - -2) + 2. Let f(t) = t**3 - 4*t**2 + 2*t + 1. Calculate f(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-320)\/(-24))\/(1 - (-21)\/(-27)) is divided by ((-6)\/(-1) - 15)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*z**4 - 28786*z**2 + 28787*z**2 - 19*z**4)*(2*z + 0*z + 3*z).\nAnswer: -305*z**5 + 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17818548*s**2 - 17818536*s**2 + 53455248*s**2 - 17818389*s**2.\nAnswer: -225*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 12*g**3 - 12*g**2.\nAnswer: -3*g**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.1 - -79.9. Let p = f - 104.0000263. What is p rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(4\/7)*u)*u**(-3\/5)\/u assuming u is positive.\nAnswer: u**(-76\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.1, 2\/51?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003099 is divided by 3003074.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:57 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/23284 and -5\/3529.\nAnswer: 82169236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 14*l**2 + l + 5. Let k be i(14). Suppose 2*g - k = g. Calculate the greatest common factor of g and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2355 + -1871.5. Round k to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*c + 129*c - 41*c.\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjhjjhjjjjjjj. Give prob of picking 2 h and 1 j.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, v: 3, j: 2, z: 6, q: 2}. What is prob of sequence zvzq?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(102) + sqrt(102))\/sqrt(6) + (sqrt(1700) - (sqrt(1700) + 5*sqrt(1700))**2) + sqrt(17).\nAnswer: -61200 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 + 20\/5. What is the lowest common multiple of (0 + -1)*(-3)\/d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307683072 to the power of 1\/2, to the nearest integer?\nAnswer: 17541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 379753.407 to the nearest one hundred.\nAnswer: 379800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/6201 and 49\/36261.\nAnswer: 24983829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmd when three letters picked without replacement from {h: 4, m: 1, x: 4, q: 4, d: 7}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 9. Let b(k) = -11*k - 19. Let s(p) = 4*b(p) + 7*h(p). What is the derivative of s(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1021320 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 296168 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 6. Let q be u(-5). Let x = -78 - q. Let v = -33 - x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/33)\/(z\/(z\/z**(-6)*z)) assuming z is positive.\nAnswer: z**(233\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -40*a**2. Let c(u) be the first derivative of -u**2\/2 - 79. What is m(c(v))?\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (111\/(-2))\/((-4020)\/3752) + 6\/5\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45473627 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -431 or -100641\/233?\nAnswer: -100641\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.342.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 937 - 927. Let p = 7 + -2. Calculate the remainder when n is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m. Let f be y(-2). Suppose -3*v - 15 = -3*c, 0*c + v - 3 = -c. Suppose f = c*i + i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 41. Put -5, b, 0.2 in increasing order.\nAnswer: -5, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9178)\/1765)\/((-1)\/5)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4419, -14325, -24237, -34155, -44079, -54009?\n\"Answer: -3*v**2 - 9897*v + 5481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + sqrt(35))*-5)\/(sqrt(5) - (sqrt(15)\/sqrt(3) + sqrt(5))*-2).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21754*-155.\nAnswer: 33.7187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peplepklpelblpe. Give prob of picking 3 l and 1 k.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxy when three letters picked without replacement from jjjsjjjjsjyxxyjjjjsj?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.943 rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 47 = -8. Let f = y - -12. Let r = 400\/4161 + 2\/219. Is f <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from opkoofofrfom?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 29. Let r be v(-6). Suppose -r*j = -8*j + n + 14, 3*j + 5*n = 2. Solve -2*g = -3*k - 1, -2*k = -j*g - 2 - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l**(2\/11))\/(l**(1\/2)*l**(-3\/4)\/l) assuming l is positive.\nAnswer: l**(-69\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 1 + 7. Let j be 6\/(-4)*(-4 - -2). Suppose -12 = -3*u - 3*w, u = 2*w + j*w - 2. Solve z = 2*r + m, 0 = -0*r + 2*r - u*m - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 54. Let x be b(-14). Let d be (9 - 11)*x\/4. Sort 4, -3\/2, d in decreasing order.\nAnswer: 4, d, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 165004031 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 16. Let r be k(-4). Suppose g - r*c = -6, -2*c + 43 - 7 = -2*g. Is 92*(g\/(-8) - 3)*-2 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3 - 7298*x**2 - 180900*x + 1087200 = 0.\nAnswer: -3624, -30, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 399909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-2\/3)\/c)))\/(c**(4\/3)*c)*(c\/c**(-2\/3))**(-48) assuming c is positive.\nAnswer: c**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194898406?\nAnswer: 2, 97449203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451 + 684. What are the prime factors of k?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - 13. Let r be ((-4)\/4)\/((-1)\/b). Let p = 603\/5 + r. Is 0 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 3.24141\nAnswer: -3.30141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 37*y. Let u(i) = 10*i - 144. Let s be u(15). Solve y = -v + s - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450396 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14390\/6 - (-14)\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 9. Let u be (-32)\/(-14) + (-2)\/7. Let n(c) = u - 4*c + c + 2*c + 0. Determine 2*a(z) - 9*n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -28747000 to the nearest 100000.\nAnswer: -28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 131615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5630 and 68\/460092045.\nAnswer: 920184090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 247*s**5\/12 - 1603*s**4\/24 + s**3\/6 - 1100*s**2. Find the second derivative of x(d) wrt d.\nAnswer: 2470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.8 + 53.6. Which is the second smallest value? (a) m (b) -0.3 (c) -2\/3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19\/144 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 148, 923, 3018, 7093, 13808?\n\"Answer: 110*g**3 + 5*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 429782167 - -299.44.\nAnswer: 429782466.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 3 + 3)*(-7*g**4 - 15*g**4 + 28*g**4).\nAnswer: 48*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67b + -22?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 - 7080*h**2 - 14188*h + 21264 = 0.\nAnswer: -3, 1, 1772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m - 3 + 33. Suppose 0 = -m*b + 5*b - 26. Suppose -b*k + 204 = -7*k. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1048 - 38?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*v**2 + 14 - 6*v**3 - 16 + 19*v**3 + 52*v**3 wrt v?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 + 7*d - 1. Let h be b(2). Let r be 0*h\/(-9) - -20. Solve -6*s - r = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 978515 - 206220. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + -3302030?\nAnswer: -3302210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 286\/110 + 3\/(-5). Let y be ((-156)\/(-130))\/(t + 9\/(-5)). Solve -2*w - 20 = -y*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-8))\/((-1)\/(-32)). Let i = -7 - z. Let o be (-7)\/(-5) - 9\/i. Which is smaller: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230618, -461301, -691982, -922661, -1153338?\nAnswer: -1384013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*q + 47 - 332 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15785900 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, 0.5, 17\/2, -1, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1564 and -26.5066.\nAnswer: 41456.3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Which is the closest to 0? (a) l (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/45, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(1 - 5\/2). Let z(l) = -l**2 - 31*l - 184. Let s be z(-23). Suppose s = 5*h - 26 + g. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6007 = 7*v + 694. Which is greater: 760 or v?\nAnswer: 760","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1bc (base 16) to base 14\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, r: 3}. Give prob of picking 2 z.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g + 1. Let a(l) = 4*l**2 - 3*l - 102. Calculate -a(f) + 3*w(f).\nAnswer: -f**2 + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -20034021255?\nAnswer: 20034021304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16981*s**3 + 550*s**2 + 2*s + 5 wrt s.\nAnswer: -101886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25936 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -228.171 and -0.3?\nAnswer: 68.4513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*w - 41 = -5*u + 488*w, -2*u - w + 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.91635 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 5:37 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250620 (base 7) in base 5?\nAnswer: 2432202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 86. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -64 - -38) + 0 + 15 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -423570.5 + -0.06?\nAnswer: -423570.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 6*j - 62. Suppose 0 = k + 3*k - 2*o - 126, 4*o - j = -3*k. Calculate the greatest common factor of k and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339316 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 5*v + 35, 15 = 2*z + 18*v + 61 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 1. Let t be (-1)\/w*(-7 - -2). Let b be 2\/2*(37 - -4). Solve -4*n = n + 4*h, -t*h = -4*n - b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/40 and 33\/37634.\nAnswer: 752680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 + 83*d**4 + 8*d**3 + 3124*d**2.\nAnswer: -120*d**2 + 1992*d + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 61*n - 178. Determine q(35).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/24 - (70\/(-21))\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133 and -0.1.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5306*b**5 - b**4 + 572*b**2 - 2*b.\nAnswer: 318360*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*n - 53184, 6*n - 3*n - 31906 = 5*g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -667 + 676. Let v = 0.02 - 0.42. Let w be -8*(0 + 2\/4). Which is the smallest value? (a) v (b) 0 (c) r (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78, 306, 644, 1098, 1674, 2378, 3216, 4194?\n\"Answer: r**3 + 49*r**2 + 74*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -3*f - 0*f. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1\/88, -1\/2, -3, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 6437496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6936 divided by -5\nAnswer: -6936\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-3)*3\/(-2). Let q = -28724 - -57451\/2. Sort k, -2\/11, q in ascending order.\nAnswer: -2\/11, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5092844 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802 + 1705 = 633*u - 2557. Solve 16 = -u*w - 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800730008 to the power of 1\/2, to the nearest integer?\nAnswer: 52922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 63\/(-15)) + (-2)\/10. Suppose 15 = 4*i + y. Suppose c = j - 0*j + 3400004, 0 = i*c - j - 6800004. What is c rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 1:23 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285 and 10488?\nAnswer: 52440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/14))**(-1\/7)\/((s*(s*s**(-30))\/s)\/(s**8*s)) assuming s is positive.\nAnswer: s**(3723\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 1, t: 2, w: 1, x: 2}. What is prob of sequence otm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and 37\/67.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w. Let f(l) = 11*l**2 - 14*l. Give x(f(p)).\nAnswer: 55*p**2 - 70*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 4*n**2 + 2*n - 5. Let o be w(4). Let q be 0\/o*1\/(-2). Suppose q*r - 4*r + 16 = 0. Solve b - r = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 5. Suppose 14*h + 10 = 16*h. Suppose -44 = h*m - 3*z, 0*z = m + z + 4. What is t(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3344 + 3350 - (19 + -1 - 0) - (-61 + -1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 6273480*b - 3279712609200.\nAnswer: -3*(b + 1045580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*q**2\/2 + 164037*q\/2 - 54681 = 0. Calculate q.\nAnswer: -18227, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**3\/3 - 5*m**2\/2 - 9*m. Let s be u(-5). Let h(j) = -6*j - 2*j**2 + 8*j**2 + 0*j**3 - j**3 - 1. Give h(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -26*j + 430. Let a be c(11). Suppose -2*i + a = 34*i. Solve 4*f - 4 = -i*g, -6*f + f = 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736471939 to the power of 1\/2, to the nearest integer?\nAnswer: 27138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54 + 0.6. Let p be (-6)\/(-39) + (-384)\/1144. Suppose 3*j = 3*i, 24 = -2*i - 0*i - 4*j. Which is the second smallest value? (a) i (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 2 + 96*x**2.\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = -22*v - 5*s + 15, 2*v - 2*s = -14 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-6*sqrt(99)*-2)**2 - (sqrt(99) + -1 - sqrt(99))*-3))*1.\nAnswer: 14250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000720569 to seven decimal places.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(192) + sqrt(192) + -1*sqrt(192)*-4 - sqrt(192)))\/(sqrt(6) + (sqrt(726)*-2 - sqrt(726) - sqrt(726)) + sqrt(54)*5).\nAnswer: -5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27456 and -361248.\nAnswer: -333792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**5 + 11*y**4 - 9*y**3 - 35923*y**2 wrt y?\nAnswer: -240*y**2 + 264*y - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-8))\/((-1)\/16). Let y be 10\/4 + (-10)\/d. Solve -5*m = 4*o + 1 - 9, 0 = -o + y*m - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 483*t + 783*t + 934*t. Let i(m) = 2*m**2. Calculate i(z(v)).\nAnswer: 9680000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = -11*s - 447. Solve 6*d + 7 = s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 10\/(-15)*(-3)\/2. Solve -4*f - m*r - 3 - 1 = 0, -5*f - r - 17 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 8. Let u be a(-3). Is 13 a factor of (752\/(-40))\/(u\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:28 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -2. Let c(r) = -r**2 - 4*r - 1. Let d be c(l). Suppose 15 = p + 2*u, 0 = -d*p + p + 2*u + 3. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + v - 452 = 4*v, 4 = 4*v. What are the prime factors of w?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4.6, -1, -455, -0.02, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - -0.09. Let h = -0.1792 - -0.0492. Which is the smallest value? (a) -2 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 11*l**3 + l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a - 124 + 124 + 51*a + 45*a.\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2645*n**5 - 65665*n**4 - 324435*n**3 + 462605*n**2 - 72920*n + 3060 = 0.\nAnswer: -17, -9, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 - 22*v**4 + 20*v**3 + 22*v**2 - 21*v = 0. What is v?\nAnswer: -1, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 17*j**2 + 2. Let y be i(-17). Suppose -3 = -4*t - b, 0*t + y = 5*t + 3*b. Which is bigger: -2\/91 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 646261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -5*q**4\/12 - 5*q**3 + 22*q + 27. Let h(s) be the first derivative of a(s). Factor h(v).\nAnswer: -5*v*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9*(-3744)\/13. What is the greatest common factor of n and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 3\/(15\/(-100)). Suppose 0 = 10*a - k + 2. Solve -a*f + 7*f + 1 = -h, 15 = 3*h - 3*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 41 = 2*o. Suppose -3*p + 2*i - 59 = 0, 77 = p - 5*p + 3*i. Let t be -4 - 1*p\/5. Which is the nearest to o? (a) 5\/6 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 6*g - 7. Let i be k(-7). Let w(v) be the second derivative of i*v**2 - 1\/4*v**4 - 9\/20*v**5 + 0 - 3*v + v**3. Suppose w(n) = 0. What is n?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 87*w**2 + 240*w - 239. Give d(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*o*r**3 + j*o*r**2 - 15*j*r**3 - 63*o - r**3 wrt j.\nAnswer: 2*o*r**3 + o*r**2 - 15*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 175, 3, 67\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*g = -7, 2*g = -3*s + 3*g - 1. Let a be (-6)\/((1 - s) + -2). Suppose 3*u + 0 + a = 0. Does -1 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 198343, 396842, 595337, 793828?\n\"Answer: -2*m**2 + 198505*m - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 23*p**2 + 95*p - 2850. Give y(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 24 = -14. Solve 4*y + r + 10 = 4*m, -3*m = 4*y - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**3 + 12*j**2 - 17*j + 15. Let q(b) = -4*b**3 + 6*b**2 - 8*b + 7. Let v(o) = 7*q(o) - 3*r(o). Let l = 12 - 7. List the prime factors of v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k*t*w**3 - 8368*k*t*w**2 + 2*k*t*w - 3331*k*w**2 + k - 3*w**3 with respect to t.\nAnswer: 4*k*w**3 - 8368*k*w**2 + 2*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80*i**2 + 2*i**2 + 10*i**2 + 32*i**2)*(-51 + 7 - 13)*(-i**2 + 2*i**2 + i**2) to the form n*i**3 + m*i**2 + d + b*i + l*i**4 and give l.\nAnswer: -14136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287971987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/3 (b) 33 (c) 167\/94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8796105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/144*(-832)\/(-112)*(-2)\/3?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 891\nAnswer: -1\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 48. Let z = d - -49. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1410334774?\nAnswer: -1410334776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - -3035426?\nAnswer: 3035355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**7\/420 + j**6\/60 - j**4\/3 + 6*j**3 + 81*j. Let s(w) be the second derivative of v(w). Suppose s(n) = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/7 - 368372*o**3\/7 - 22624542720*o**2\/7 - 463854814346092*o\/7 - 30976821741283678\/7 = 0. Calculate o.\nAnswer: -61373, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.1032 - -8.1. Let v = c - -3. Round v to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 2499483.\nAnswer: 2499483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 4, x: 1}. Give prob of sequence aabb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 8*m**2 - 4*m - 14. Suppose -158*c = 5*c + 113*c + 1932. What is k(c)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x + 13. Let b be p(-3). Let k = 47 - b. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzzzxqgxxooaazzgx. What is prob of sequence aq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(6\/(-2))*4. Suppose -5 = 5*h - m. Find the second derivative of 2*b + 4*b**2 + 3*b - h*b wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100320 and 4560?\nAnswer: 100320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238243 divided by 5?\nAnswer: 238243\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by ((-24)\/20)\/((-45)\/1725).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -40. Let f = -13 + 24. Suppose f*o = k*o - 900. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8496576 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -275612, -551223, -826834, -1102445?\n\"Answer: -275611*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15317 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3851*q - 1. Let b(u) = 12*u. Calculate b(p(d)).\nAnswer: 46212*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-26))\/(6190\/8047)*-2*15\/102?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4\/4 - n**3 + 3*n**2\/2 + 12*n + 16. Let s(t) = 11*t + 1. Calculate the remainder when a(-5) is divided by s(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9206043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(204)*5)\/((sqrt(84)*-2)\/sqrt(7) - sqrt(12)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -883159, -883136, -883111, -883090, -883079, -883084, -883111, -883166?\n\"Answer: -k**3 + 7*k**2 + 9*k - 883174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 64\/1057869?\nAnswer: 64\/1057869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -29784891.5 to the nearest 100000.\nAnswer: -29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2*m + 1. Let j be i(6). Suppose 5*y - 30 = 5*w - j, -5*w + 5 = 0. Let a = -5 + 10. Solve 0*g - g + 3*h = 0, g + y*h - a = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 7*t + 20. Let c(y) be the second derivative of y**4\/12 - y**3\/6 - 5*y**2\/2 - y. List the prime factors of c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382.813964934 take away 0.196?\nAnswer: -383.009964934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710160 is divided by 657?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*n**2 + 5380380*n + 768625.\nAnswer: 5*(n + 153725)*(7*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 + -16 + 4*1. Determine v, given that -9*v + 5*v**w - 2*v**3 + 9*v - 8*v**3 - 5*v**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210655183 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/13)*v*(v**(-5)*v)\/v)\/(v**(-13)*v**(-6\/13)\/v*v))**5 assuming v is positive.\nAnswer: v**(605\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*t = 2*t + 15, -3*t - 59 = -5*i. Suppose -7 = -2*d - q + i, 28 = 4*d - q. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*n**3 + 4 - 4.\nAnswer: -380*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*y - 26388629*i - 24450020*y wrt i?\nAnswer: 2*y - 26388629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315992 by -63.\nAnswer: -315992\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:16 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 49 + 347. Let b = o - 67. What is the remainder when b is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -1. Suppose -i = 4*w + w - 5, -3*w = -3*i + 15. Let b be 2*(-5 + 29\/(87\/18)). Solve w = -2*n + 4*a + 6 + c, 2*a = -b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18*k - 248. Let g be v(49). Let f = 2599 + g. List the prime factors of f.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 4*s + 0*s)*(16474 + 35327 + 5221 - 15649 + 25917) as x*s + g and give x.\nAnswer: 134580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 + -133036?\nAnswer: -133201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - m = 7, -2*m = -2*o + m + 14. What is the third derivative of -2*b**4 - 3*b**2 + o*b**4 - 2*b**4 + 0*b**2 wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 14. Let z be y(6). Let c = 19 - z. Suppose 5*j + 4*w - 90 = 0, 4*w = -3*j - 0*j + 54. Which is greater: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (85 - 13) + (2 + 0)\/(-2). Find the first derivative of 6*n**3 + 20 - 84*n + 73*n + v wrt n.\nAnswer: 18*n**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5073 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/24*(-8)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 44*r**2 - 5*r + 152. Give z(44).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2113664080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1646*x**3 + 1812*x**2 + 28*x**3 - 694*x**3 - 746*x**3 wrt x.\nAnswer: -18348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 0.13. Let u = 10 + -12. Let x be u\/2 + 4\/6. Which is the smallest value? (a) x (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1469*f = 1425*f - 2922*f + 420 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 713?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let n = -0.149 - 0.051. Which is the closest to -0.1? (a) 2\/5 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -692 - -684. Let h(l) = -l**2 + 13*l + 170. Let x be h(b). Solve 5*g = 2*v + v + 34, 31 = -x*v + 5*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/7347458 and 77\/4339050.\nAnswer: 551059350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1220.3 and 2?\nAnswer: 2440.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.592 - 0.53. Let r = -5.062 + v. Sort -2\/19, r, -3.\nAnswer: r, -3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(72)\/sqrt(2))*1*5 - (-5*sqrt(480))\/(1*sqrt(30)\/sqrt(3)))**2.\nAnswer: 6075\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8237*q**2 + 9236205 - 9236205)*(q + 0*q + 2 - 4)*(-2*q - 3 + 3) to w*q**2 + j*q**3 + h*q + k + r*q**4 and give r.\nAnswer: -16474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5103))\/((sqrt(72) + 1*sqrt(72))\/sqrt(8)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2 - 2*n + 34. What is the units digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/15*h**3 + 0*h + 0*h**2.\nAnswer: -2*h**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13106763*q**3 - 2*q**2 + q - 806155925 wrt q.\nAnswer: 39320289*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 18851833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8098610 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703 = 75*r + 258*r + 6031 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5404 = -305*o - 81*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32872350629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Suppose -g - 4*g - 220 = u. Let n = g - -47. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 - 110*o**2 + 115*o = 0. Calculate o.\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:38 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63 and -1076.\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.2 (b) -0.1 (c) -2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -26, -36?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h - 12. Let j(x) = -x**3 - 6*x**2 - 5*x + 2. Let w be j(h). Let -p**2 + 8 + p**w - 4*p**2 - 4*p = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40788 and 171.\nAnswer: 774972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((120\/(-14))\/5)\/((-12)\/210). Calculate the greatest common divisor of 195 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12744 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200 - -31?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265789576*n**4 - 1245301*n**2 + 54*n.\nAnswer: -6378949824*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) 12 (c) -5 (d) 2598 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2265 in decreasing order.\nAnswer: 2265, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 34.79287674.\nAnswer: 35.19287674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1973827 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 0*b - 3*b. Let u(k) = 17 + 2*k**2 - k**2 - 17. Determine u(p(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/4396 and 9\/77.\nAnswer: 48356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-2)\/1 - -5). Sort 2, -5, 4, n in descending order.\nAnswer: 4, 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(405) - sqrt(405)) + -5 + sqrt(405) + -4)**2.\nAnswer: 234*sqrt(5) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19584 * 0.4\nAnswer: 7833.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 25 = z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 42 + 680*o - 678*o + 32. Let d(h) = 5*h + 4. Let k(i) = -6*i - 5. Let q(z) = -5*d(z) - 4*k(z). Determine y(q(g)).\nAnswer: -2*g + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/216 and -71\/44712.\nAnswer: 44712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0)**(1\/23)*((r**(-10\/3)\/r)\/r*r*r)\/(r**(-1\/7)*r*r))**(-23))**47 assuming r is positive.\nAnswer: r**(117829\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -300?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 5*i**2 + 9 - 3*i - 4*i**2 - 16 to the form b + p*i**2 + o*i and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2430 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 490976809*d**4 - 429797104*d.\nAnswer: 5891721708*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119826*p**2 - p - 17697 wrt p.\nAnswer: 239652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -298 + -122. What is the remainder when 137 is divided by (((-2)\/(-2))\/(-1))\/(21\/v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -l, 22 = -l - c + 2. What is the closest to -2\/57 in -0.2, l, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1) + 84\/7. Suppose a = -5*l - 3. What are the prime factors of 13 + 2 + (l - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1493880.\nAnswer: 2, 3, 5, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 476?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1701?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2423 and 1036?\nAnswer: 251.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 + -154. Let r be -1 - (-338 - (-6 - -3)). Suppose -130 = -2*q - 4*s, r = q + 4*q + s. What is the remainder when q is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 b when three letters picked without replacement from gbggggggggbbgg?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9006864 a multiple of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 4. Is s(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -25*q**3 - 2*q**2 - 3*q - 2. Let c be n(-1). Let s = 8 + c. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Suppose -x + 12 = -4*x. Let z(i) = 3*i. Suppose -8 = 3*s - 7*s. What is s*z(n) + x*h(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 6 - 14*n - 28*n - 29*n as d*n + c and give d.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1444 + -0.2244. Sort -2\/3, 0.03, z in increasing order.\nAnswer: -2\/3, z, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*g - 1258 = 0, -751 = -2*r - r + 5*g. Suppose -8*x - 52 + r = 0. Calculate the remainder when 149 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 338 and 6?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2 + -1 + -1. Suppose l = -0*z - 3*z + 4*k - 22, 4*z + 2*k = 0. Sort z, -4, 7.\nAnswer: -4, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 7*o**2 + 7*o + 4. Calculate m(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*s**3*w**2 + 127131*s**3 + 177*s**2*w**2 - 2*s*w**2 wrt w.\nAnswer: 54*s**3*w + 354*s**2*w - 4*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 16\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 21 = 0, -2 = -d + 29*x - 30*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**16)\/(r**4*r*r*r)*r**(-6)*r\/r**(-8\/5)*r assuming r is positive.\nAnswer: r**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3996*u**4 + 1441?\nAnswer: -15984*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/262260 and 7\/2820.\nAnswer: 262260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 67*a**2 - 4*a + 4. Let f(k) = 1207*k**2 - 71*k + 71. Calculate 71*b(y) - 4*f(y).\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/(-87)*18\/91\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecncqccncccncecc. Give prob of picking 4 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 32 + r - 31 - 2*r**2 + 3*r**2. Let m be t(-2). Suppose p - 54 = -4*g, 30 = 2*g + m*p - 4*p. What is the remainder when 39 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 265789568*x**3\/9 + 68485127392*x**2\/3 + 11881526*x\/3 + 1546\/9 = 0.\nAnswer: -773, -1\/11528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -399 + 431. Let h be 288 - ((-8)\/5)\/((-18)\/(-45)). What is the greatest common divisor of h and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1352, -1343, -1328, -1307, -1280, -1247?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 25. Suppose -c*m - 36 = -17*m. Calculate the lowest common multiple of 27 and m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 i, and 1 s when four letters picked without replacement from {u: 4, q: 1, i: 3, r: 5, s: 1}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljr when three letters picked without replacement from llprpjlprp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/21 and 51\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 2*z**2 + 61. What is u(0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 2. Suppose -q + 4 - o = 2*r, 4*q + 10 = 3*r. Suppose -r = -2*z + 12. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2175, 2569, 2963, 3357?\nAnswer: 3751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-544*a + 2364*a + 362*a)*(-a**3 - 17 + 17) in the form x*a**2 + n*a**3 + h + u*a + g*a**4 and give g.\nAnswer: -2182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2557 - 1624 - 1411)*(m - m - 4*m) to the form g + v*m and give v.\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5867)\/(-2) - 10\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 22 + 5. Let u be (-1 + -13)\/(-11 - t). What is the highest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1300) + 0.\nAnswer: 3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**2 + a + 2. Let k be ((-14)\/21)\/((-428)\/432 + 1). Let s = k - -74. Let w(b) = 3*b**2 - 1. Determine s*n(o) + 5*w(o).\nAnswer: 3*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 28 = -j, 0 = 4*t - j - 7 + 30. Sort 2, 0, 2\/11, t in decreasing order.\nAnswer: 2, 2\/11, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -456\/5*y - 18\/5*y**4 + 144\/5 - 46*y**3 - 812\/5*y**2 = 0?\nAnswer: -6, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393764687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000059392 rounded to 7 dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6663 greater than 5\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2. Let c(r) be the second derivative of -r**4\/12 + 17*r**2\/2 - 255*r. Determine q(c(a)).\nAnswer: 2*a**4 - 68*a**2 + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/36)\/((-495)\/36).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, q: 7, e: 4}. What is prob of picking 1 b and 1 e?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80511 and 2867.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - k + 233, 5*y + 3*k - 47 - 336 = 0. Let q(i) = 85*i - 3 + 5*i**2 - 4*i**2 - y*i. What is q(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = -4*y - 7, -2*z + y = -3. Suppose 10*d - 41 + z = 0. Suppose d*l - 58 = -50. Solve l*j - 1 = 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1\/2, 2959, -0.4?\nAnswer: 2959","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 389\/7*(-39)\/13. Let g = 167 + w. Let r = -776\/5595 - -2\/373. Sort -2, g, r in ascending order.\nAnswer: -2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**2 + 1008*k - 1008*k.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*u + 10, 458*k - 14 = -4*u + 465*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 404326883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**5\/5 - 5*y**4\/2 - 11*y**3 - 22*y**2 - 20*y - 202. Factor k(l).\nAnswer: -(l + 1)*(l + 2)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q + 5. Let z be o(2). Let r be ((-144)\/10)\/(z\/30). What is the tens digit of 1\/((-2)\/r*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1811.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2\/4 - 14817*f\/4 - 55620 = 0.\nAnswer: -15, 14832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12364 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 374, 51, -1, 1 in ascending order.\nAnswer: -1, 1, 51, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 32 + 40 = 0. Solve 0 = 7*t - h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/5 + (-12)\/(-60). Suppose -c = 2*b - 5*b + 47003, 0 = -z*c + 3*b - 141003. What is c rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, m: 10}. What is prob of picking 2 h and 1 m?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 7) to base 4.\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) 6\/17 (c) -2 (d) -0.1 (e) 125 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-13)\/21)\/((-195)\/702) - (-2556)\/(-3195).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388, -421, -486, -589, -736?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 227, 324, 447, 596, 771?\n\"Answer: 13*j**2 + 58*j + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qobb when four letters picked without replacement from {r: 4, q: 9, i: 4, o: 1, b: 2}.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n + 1688 = 0. Suppose 5*u = 3*u + n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -175, -509, -1017, -1705, -2579, -3645?\nAnswer: -4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/5 (b) 13\/5 (c) -18867 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-12))\/(2 - (-8)\/(-12)). What is the smallest value in 2\/7, 4, t, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*q*y**2 + 24*y**2 wrt q?\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 10*q + 9. Let h(y) = y + 1 - 5*y + y. Calculate the remainder when h(-5) is divided by g(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (46*f**2 - 290*f + 290*f)*(-2*f + 0*f + f) + f**2 + 0*f**3 + 0*f**2 + 2*f**3 as o*f**3 + a + z*f**2 + q*f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/735 - p**6\/70 - 2*p**5\/21 + 25*p**4\/14 - 125*p**3\/21 - 15*p**2 + 2. Determine i, given that l(i) = 0.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 1. Suppose 4*i = 2*r - 2, r + 22 = -5*i - 3*r. Let u(d) be the second derivative of -d**3\/3 - 4*d. Give i*p(b) - 5*u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44124 is divided by 213.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 14*s**2 + 10*s + 19. Let m be c(13). Let o be (-12)\/m - 84\/15. Let i = 1\/27 - 29\/54. Sort 4, i, o in decreasing order.\nAnswer: 4, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 269296228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 12*z**2 - 29*z - 8. Determine v(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(72)*-5 + sqrt(72))\/sqrt(4))\/((sqrt(30)*2)\/sqrt(5) - sqrt(6) - (sqrt(294) - 2*sqrt(294))))**2.\nAnswer: 147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-36)*27\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -767 + 1684. Suppose 0 = 6*q + y - 3137. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.43 * 45030\nAnswer: -64392.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3*t**3\/4 + 29*t**2\/8 + 3*t\/2 + 20. Determine f, given that g(f) = 0.\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 645102\nAnswer: -7\/322551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2 + 5614*f + 3606988 = 0.\nAnswer: -539, 3346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 30. Let l = 1.5 - -2.5. What is the closest to -1\/8 in l, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106911, -213824, -320733, -427638, -534539, -641436?\n\"Answer: 2*o**2 - 106919*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 1\/3, -117 in decreasing order.\nAnswer: 6, 2, 1\/3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -539*l**3 - 140*l**2 + 3 wrt l?\nAnswer: -3234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/(-210))\/(4\/(-30)). Let m(b) be the first derivative of -18\/5*b - 5 - 2\/15*b**3 - 6\/5*b**z. Factor m(p).\nAnswer: -2*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 63. Find the third derivative of k**6 - y*k**6 - 19*k**2 + 4*k**2 - 2*k**6 wrt k.\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -516 - 222?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15.4 and -0.3.\nAnswer: -15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 26*t + 21. Let i be a(-25). Let s(h) = -h + 5. Let k be s(-5). Let o = 88\/9 - k. What is the closest to -2\/3 in -1, i, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17512 by 1210.\nAnswer: 796\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265753 to the power of 1\/2, to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189756.9 * -68.\nAnswer: -12903469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -0.03 (c) -3\/7 (d) 1 (e) -6 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9464327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2740 + 2758 = -6*f. Let g(l) = -2*l - 11. Let k(m) = -m - 1. Calculate f*k(a) + g(a).\nAnswer: a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**14*(t\/(t**38*t))\/t assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33566720?\nAnswer: 2, 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 161162 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -235, -1, 0, 46 in descending order.\nAnswer: 46, 0, -1, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 19\/2714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 54*v**3 + 1 + 1.\nAnswer: 54*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12262 (base 8) in base 4?\nAnswer: -1102302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114881 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohh when three letters picked without replacement from hahhhahhhhhhohoho.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45730 and 2806360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247548095*z**2 + 303870844 wrt z?\nAnswer: -495096190*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50987 - -427\nAnswer: -50560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)\/j*j\/(j*j*j**4\/j))\/(j\/(j*(j*j**(-2\/5))\/j))**(2\/59) assuming j is positive.\nAnswer: j**(-1184\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 1, 0, 8, 7.\nAnswer: -116, 0, 1, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*m**3*o**2*p**3 + 50*m**3*p**2 - 3*m**2*o*p**3 + 2*o**2*p**3 + 4*o wrt o?\nAnswer: 298*m**3*p**3 + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -6. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbpp when four letters picked without replacement from pwstbrp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let j be 0\/((5 - 4) + -2) - 3. What is the closest to 1\/2 in 0.2, j, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 2*s**2 - s**2 - 5*s**2 - 2*s**2 + 4*s**2 + (-3*s - 2*s + 4*s)*(2 - 2 - 2*s) + 173 - 173 + 15*s**2 as h*s**2 + n*s + p and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**7\/1008 + r**5\/12 - r**4\/4 + r**2 - 5. Let q(h) be the third derivative of k(h). Let v(n) = 15*n. Calculate v(q(t)).\nAnswer: 75*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**2 - 28*z - 152. What are the prime factors of g(-5)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269117 is divided by 9070?\nAnswer: 6087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1219*l**4*x + 3*l**4 - 14*l**3*x + 183198*l**2*x wrt l?\nAnswer: -29256*l*x + 72*l - 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 334188? (a) -5 (b) 7 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 387*o + 114947. What is l(-297)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 598, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-226)\/(-24) + 1\/1 and 9*(-2)\/(-30) - 1034\/40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508 - 74 - 94 - 271 + 4*z**3 - 69.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by -6.\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 539, 980, 1421?\n\"Answer: 441*q + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/4 - 197*k\/2 + 38809\/4 = 0.\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 495259 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3205 divided by 10\nAnswer: -641\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/(m\/((m*m*m*m**(-35))\/m*m)*m))\/(((m**(-38)*m*m)\/m)\/(m*m**(2\/47))))**(-10\/11) assuming m is positive.\nAnswer: m**(-2370\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11912545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - 2\/70. Suppose -21*r + 0*r = -588. Let m = 24 - r. Which is the closest to -0.1? (a) -1 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u**2 + 3*u**2)*(-4 + 2*u + 4) + (3*u**3 + 2*u**3 - u**3)*(6 + 7 + 1) + 0*u**3 + 2*u**3 - 4*u**3.\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x - 4. Give t(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*h + 17. Let u(r) be the second derivative of -r**2 + 1\/5*r**5 + 3\/2*r**h + 0 + 6*r - r**4. Find b such that u(b) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-3)\/(-3))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*y + 4. Let r(p) = p**3 + 5*p**2 + 3*p + 2. Suppose -13 = -4*t - 4*w + 3, -5*t - 3*w = -24. What is the least common multiple of r(y) and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 12, o: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118225?\nAnswer: 5, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j + 206*j + 276*j + 384*j + 86*j as l + n*j and give n.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3204 - -3222. Calculate the lowest common multiple of 1332 and i.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/3452 - 6887\/58684. What is the fourth biggest value in 1.9, -3, -23, q, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 1\/2 (c) -12543 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -4.8. Let g = z - -4.4. Let p be (-4)\/(-5)*(-7 + 29\/4). What is the closest to -2\/5 in 2\/13, g, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/1232)\/((-3)\/(-6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -103. Find the common denominator of -19\/12 and (-38)\/(-2) - (-24)\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11621032 and 376.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76.79168 - 9529910.20832. Let i = 9529960.999948 + b. Let g = i - -26. Round g to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97 + -18 + 40 + (0 - 4)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + 2*a)*(6*a - 2*a - 3*a) - 2*a**2 - 3*a**2 + 6*a**2 - 4 + 3 - 2*a**2 + 4*a**2.\nAnswer: 6*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o + 583884 = 28*o - 228*o. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + s = -6*h + 10, 5 = 3*h + 2*s. Solve -5*n + 2*n + 5*a + 13 = 0, -2*n = -h*a - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2429.623939 from -2204.\nAnswer: -4633.623939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/32)\/(5*36\/(-180)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79974, 159921, 239830, 319689, 399486?\n\"Answer: -2*d**3 - 7*d**2 + 79982*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 14*w - 118 = 12*w, 2*i = 3*w + 79. Let c(q) = -q**2 - q + 4. Let z be c(0). Calculate the greatest common divisor of z and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*j - 4 + 5 - 2*j.\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174 + 447. Let i be (2\/(-6))\/((-7)\/p). Which is bigger: i or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*j - 272*j - 20086 - 7322 + 5240 = 0 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*c**2 - 560*c - 3136\/3.\nAnswer: -(15*c + 56)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.5208 millilitres to litres.\nAnswer: 0.8705208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25931651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*y, -497*a = -501*a + 3*y - 34. Put -5, a, 0, -228 in ascending order.\nAnswer: -228, -5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/63*(-6)\/(-4))\/((-18)\/126)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/9 + 3185*p\/9 + 196000\/3 = 0 for p.\nAnswer: -175, 3360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2 + 1 + 0). Suppose 5 - 4 = a*h - 2*p, h - p + 1 = 0. Solve -4\/3*d**2 - 14\/3*d**h - 10\/3*d**4 + 0 + 0*d = 0 for d.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 61, 218, 521, 1018, 1757, 2786?\nAnswer: 4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -5, 11, -15 in increasing order.\nAnswer: -15, -5, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299*g - 9563 = -1128*g + 2572. Let v(u) = u**3 + 3*u**2 + 2*u + 3. Let b be v(-2). Solve -5*q + 21 = b*r, -g*r - 6 = -5*q - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2646056ms in seconds?\nAnswer: 0.0002646056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -17 - (200 - 208).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -38. Sort 14, 5, b in descending order.\nAnswer: 14, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4277, 4260, 4217, 4136, 4005, 3812, 3545, 3192?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1749 + 173*h + 1749)*(-4*h + h + 4*h) in the form c*h**2 + s + q*h and give c.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c - 49*c + 9 + 3 = 0, 2*n + 4*c - 21 = -c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63.3065 and -0.2.\nAnswer: -12.6613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*q - q. Suppose -q*z = z - 16. What are the prime factors of 3*z\/3 - -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 16773396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101 - 102?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 3*d**3 + 2 + 2*d**3 + 14153*d**2 - 14366*d**2 - 3*d + d**4 to f*d**3 + x*d**2 + i*d**4 + v + z*d and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -11*z**4\/12 + 53*z**3\/9 - 17*z**2\/3 - 8*z\/3 + 68. Let l(s) = 0. Calculate s.\nAnswer: -2\/11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -15*q**2. Let j(i) = 28*i**2 + 3. Calculate j(y(m)).\nAnswer: 6300*m**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3852*t - 561 = 3801*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*k - 961 - 854, 3*p = 3*k + 1797. Let h = -318 + p. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**(-39)\/(a**(-4)*a*(a\/a**(2\/11))\/a*a))\/((a**(-6)\/a*a**(-2))\/(a\/(((a\/a**(-1\/2)*a)\/a)\/a)*a)**7) assuming a is positive.\nAnswer: a**(1383\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 4 - (0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 4 + 44 = 0. What is v in 2*v**4 - j + 6 + 2*v**2 + 21 - 32*v - 4*v**4 + 8*v**3 = 0?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**3*m**3 + 311*a**3*m + 7131*m**4 + 2*m wrt m.\nAnswer: 42*a**3*m + 85572*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 1, l: 1, b: 2, v: 1, q: 1}. What is prob of sequence qlit?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 + -17)*(-34 - (-30)\/6). Solve m*w = 45*w - 64 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = 5*a + 21, 2*d + 2*a = 30. Calculate the remainder when 21 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13209036.\nAnswer: 2, 3, 29, 37957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + o**2 - o**2 + (-o - 3*o + 5*o)*((-2 + 2 - 2*o**2)*(-o + 4*o - o) - 3*o**3 - 3*o**3 + 7*o**3 + 3*o**3 + o**3 - 3*o**3).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -433*c. Let m(f) = -10391*f. Calculate j(m(p)).\nAnswer: 4499303*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 7*z + 6. Let s be d(-4). Let y(u) = -s*u**2 - 9*u**2 - 3*u + u**3 + 29 - 37. Is y(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21216, -20080, -18944?\n\"Answer: 1136*p - 22352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 548, 399, 154, -193, -648, -1217?\n\"Answer: -t**3 - 42*t**2 - 16*t + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35354*1.5.\nAnswer: -53031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7\/(-49) - (-645)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 13*u**7\/1680 + 107*u**5\/60 - 34*u**2. Let a(z) be the third derivative of i(z). Let n(o) = 2 + 2*o - 2. What is n(a(x))?\nAnswer: 78*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(204)\/((sqrt(300) + sqrt(12))*6) + ((sqrt(85)*-2 + sqrt(85))*-2)\/sqrt(5)*-5.\nAnswer: -359*sqrt(17)\/36 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -96*(0 + 4\/(-6)). Suppose -4*v - 4*s = 28, -3*v - 427*s - 5 = -426*s. Calculate the greatest common factor of l and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(245) + 1*sqrt(245) + sqrt(245) + sqrt(245) + 3)*-3*-4 + 0)*5)**2.\nAnswer: 604800*sqrt(5) + 14144400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 28*f + 20. Let a be v(-10). Sort -2, a, -4 in ascending order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9038 or 157.2?\nAnswer: 157.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3549438 divided by -394382.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 at most -11269.266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x + 61. Let g = -8 - x. Suppose -5 - g = -k. Calculate the greatest common divisor of 20 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 110 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:12 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 + -7)\/(2\/(-5)). Let u = -19 - s. Let y be 7\/(-14)*(-11 - u). Solve -4*b - 10 = y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74*-0.0406\nAnswer: 3.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(1 + 2*sqrt(363) + sqrt(363) + sqrt(363) + 6*(-1*sqrt(363) - sqrt(363)) + (sqrt(363) + sqrt(363) + -1 + sqrt(363) + -3)*2 + -2))**2.\nAnswer: 38016*sqrt(3) + 147168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60929 and 90277.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 437 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4134*x**3 + 11*x**2 + 170337*x wrt x?\nAnswer: -24804*x + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g - 3. Let x(u) = 6*u + 3. Let z(d) = 3*q(d) + 2*x(d). Let v be z(-2). Suppose v*f = 2*k - 0*f - 36, 4*k - 72 = 4*f. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10654*w**2 + 13585 with respect to w.\nAnswer: 21308*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n, -4*d - 4*n + n = -9. Solve 2*x - 5*m = -d*m - 7, 13 = 4*x - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149564033*t**2 - 274800852.\nAnswer: -299128066*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = s + 1. Let h(a) = a**3 - 3*a**2 - a + 3. Let r be h(3). Suppose r = 4*t - 5 - 7. Calculate the lowest common multiple of s and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**7\/70 - 9*z**6\/10 - 67*z**5\/20 + 9*z**4\/2 + 34*z**3 - 2354*z**2. Let u(h) = 0. Calculate h.\nAnswer: -34, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*s**4 + 78*s + 3*s**5 - 75*s + 111 + 4*s**4 wrt s.\nAnswer: 60*s**3 + 372*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 383, 770, 1161, 1556, 1955, 2358, 2765?\n\"Answer: 2*l**2 + 381*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514723503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29752 divided by 1436.\nAnswer: 7438\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51502 at most 51504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z + 2*z**2 + 26*z - 11*z as u + w*z + s*z**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g**5 - g**4 + 3*g**3 + g**2 - 237*g wrt g?\nAnswer: 480*g**2 - 24*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9304 is divided by 1317?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3. Let q(x) = -x**2 - x - 4. Let y = -10 + 13. Calculate y*i(u) - 2*q(u).\nAnswer: 2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -43872*m**2 + 3*m - 29. Let z(x) = -3*x**2. Give j(z(w)).\nAnswer: -394848*w**4 - 9*w**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 4:52 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*y**2\/2 - 13305*y\/2 + 258681.\nAnswer: -3*(y + 529)*(9*y - 326)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(2\/15)))**9)**(-15\/7)\/(y*y**(1\/4)\/y*y\/(y**2\/y))**(-5\/7) assuming y is positive.\nAnswer: y**(-67\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85579469.\nAnswer: 797, 107377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.424 + 14.401. What is the fifth smallest value in 3, 1\/6, -3, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4981 + -8744. Suppose b + 4130 = 2*n + 5*b, 5*n = b + 10314. Let f = n + u. Round f to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z - 3. Let x be y(7). Let b be 1560\/(-45) - 1\/3. Let u = b + x. Solve 4*s + 2 = 2*s, 0 = -5*m - 2*s + u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*y + 297*y - y**3 + 7.\nAnswer: -y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6863 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 4, v: 9}. What is prob of sequence vwv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 2153*a**2 - 986078*a - 24200176.\nAnswer: -(a + 26)*(a + 616)*(a + 1511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/5 + (-12)\/30. Find the third derivative of 5*m**5 - 34*m + 34*m + k*m**5 - 12*m**2 wrt m.\nAnswer: 960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 218ec81 - -8?\nAnswer: 218ec89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m + 8. Let i be 0\/5 + (m - -4). Suppose -i*v - 2*y + 274 = 0, -v - v + 4*y + 292 = 0. What is the highest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19658, -39311, -58964, -78617, -98270, -117923?\nAnswer: -137576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 h when four letters picked without replacement from hbhhhhnhqfnqhhbfq.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -0.2 (b) 1\/12 (c) 2 (d) 24\/59 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2 - 40)*(-o**2 + 2*o - 5*o**2 - o).\nAnswer: 300*o**2 - 50*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.52 + 24.613. Let m = -0.093 + k. Is m greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -2. What is the units digit of 5\/30*h*-69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518472.1 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15198136 and 164.\nAnswer: -15197972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.74261 months in years?\nAnswer: 1.1452175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 87486.03 and -4.\nAnswer: 87482.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*o - 9 = 0, -5*y + 37 = -5*o + 7. Solve -j - 23 = 4*k, -y*k + j - 16 = -2*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaatctrttccrcccccac. Give prob of sequence ttc.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3887, -3869, -3845, -3815, -3779, -3737?\nAnswer: -3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2 + 3*c**2 + 2 - 4. Suppose 3*m + 2*f = 6*m - 2, m + 4*f + 4 = 0. Let l(w) = -3*w + m*w + 2*w. Calculate l(y(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4780923666.\nAnswer: 2, 3, 211, 347, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r**4 + 42297*r**3\/4 + 820983*r**2\/4 - 420435*r\/2 - 268650 = 0. What is r?\nAnswer: -20, -3\/4, 5\/3, 1194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 4 = 2*u, 2*s - u = 1. Suppose -5*b - s*g = -183, 4*b = g - 0*g + 136. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -7*m**4 - 260*m**3\/3 - 232*m**2 - 112*m + 735. Factor h(z).\nAnswer: -4*(z + 2)*(z + 7)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2687.00006512 + -2687. What is f rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -24) + -8 + (-1 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65285.025 rounded to the nearest one thousand?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 183*d - 18891. Calculate w(74).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 20, -27*u + 26*u - 48*n + 188 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 1059585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*s - 12 = -3, -2*g = 4*s + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p**2 - 4*p**2 + 7*p**2 as z + x*p**2 + h*p and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:39 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11 and -3\/545.\nAnswer: 5995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3.9, -1\/9, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 33, 32, 31, 30?\n\"Answer: -t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -8.809.\nAnswer: 17.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -442, -2, -3, -26649, 4 in ascending order.\nAnswer: -26649, -442, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541637 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/180 - 13*h**4\/36 + 23*h**3\/6 + 234*h**2. Determine z so that r(z) = 0.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 22180*h**3 - 81984672*h**2 - 100977772892*h + 101059779746 = 0. What is h?\nAnswer: -3697, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*l - 4*x, -x = -4*l + 5*l - 18. Which is greater: 20 or l?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 204368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32809672 and 65830.\nAnswer: 164048360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeteeeeeeeeeeex. Give prob of sequence ete.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {c: 4, j: 1, z: 1, g: 7, a: 2, k: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Let n be ((-4)\/p)\/((-6)\/45). Solve -4*f - 4*j = -5*j + 15, 2*f = -n*j + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from {v: 4, p: 2, b: 1}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 716205 + -270325. Suppose -5*g = 1780880 - w. Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**4\/4 + 4*s**3 - 24*s**2 - 11*s - 17. Let f(r) be the first derivative of h(r). Suppose f(y) = 0. What is y?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3775\/2 - -1888. Let k(d) be the first derivative of v*d**4 + 0*d + 2 + 3\/2*d**2 + 0*d**3. Find the second derivative of k(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 9*b + 17. Let p be n(-7). Suppose i + 3 = -p*w + 2*i, -i + 3 = 0. Solve 0 = 5*z - w*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - i**2)*(-i**2 + 0*i**2 + 4*i**2) + (-151*i + 53*i**2 + 151*i)*(-i**2 - 5*i**2 + 2*i**2).\nAnswer: -215*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 7\/24*w**4 + 0 + 0*w + 3*w**2 - 23\/6*w**3 + 1\/60*w**5. Let c be y(-11). Calculate the highest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-1)*(2 + -3). Let d be (-2 - -3)\/(1*o). Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 2. Let g(k) = -3*k - 7. Let h be (-8)\/2 + 30\/(-10). Let m(a) = h*n(a) + 2*g(a). Let t(x) = -4*x. What is m(t(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20284, -20103, -19910, -19699, -19464, -19199?\nAnswer: -18898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274231062?\nAnswer: 2, 3, 7, 725479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b**4 + 8\/15*b**7 + 0*b**3 - 11\/10*b**6 + 0*b - 5\/84*b**8 + 0 - 6\/5*b**5 + 38*b**2. Factor v(p).\nAnswer: -4*p**2*(p - 3)**2*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -30. Solve v*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -49734*c + 248799. Give t(5).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88)*1 + 4*(sqrt(88) - (sqrt(88)*1 - sqrt(88))))\/(sqrt(800) + sqrt(800) + 2*-5*sqrt(800))*-5.\nAnswer: 5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 - 7*z + 2. Let t be m(-5). Let v = 40 + t. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - 0.058?\nAnswer: -44.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243645, -974572, -2192783, -3898278?\nAnswer: -6091057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 4 (c) -0.03 (d) -17\/3874 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5035 - 5?\nAnswer: 5030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/7)\/(-1) - (163 + 4560\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 643624182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 82700*x + 82700*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 4*x - 196, 0 = -3*u - x + 104. Suppose 9*d - 3*d - u = 0. Suppose -4*c + 6 + d = 0. Solve -4*v = -2*o - 3*o - 7, c*v = 2*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -707287237*b**5 - 80424435*b + 7.\nAnswer: -14145744740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1078*i**3*t**2 + 2050*i**3 - 2*t**3 wrt t?\nAnswer: 2156*i**3*t - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 868329888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 26. Suppose 0 = -5*q + 14 + 76. Suppose -2*n + q = -n. Calculate the least common multiple of v and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1303*p + 1311*p = 72 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 246916 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 24*q - 84 = -g, -g + 44 = -q. Calculate the greatest common factor of g and 8099.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21458638.\nAnswer: 2, 19, 564701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 34*n - 10. Is k(15) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 72. Give k(-24).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4014.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-252)\/(-114))*-2*(-18)\/(-15)*-5\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1694 + 1652. What is the second smallest value in -3, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 516679 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m - 1. Let d(s) = -4*s + 1. Suppose 18*x - 15 = 13*x. Suppose -3*q = c - 4*q - 4, -x*q - 6 = -c. What is c*j(i) + 4*d(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v + 36. Let r(l) = l**2 - 4*l + 139. Determine -3*r(z) + 12*w(z).\nAnswer: 9*z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 13 = 2*d. Find the common denominator of 2\/d - (-706)\/(-28) and 1 + 370\/(-36) - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/15*(-6)\/4. Let n be (-2 - (2 + l)) + 7. Suppose n*b - 25 = -b. Solve -12 - 13 = -b*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {z: 1, j: 3, m: 1, s: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -3818.\nAnswer: -3817.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 194247, 389314, 584381, 779448, 974515, 1169582?\n\"Answer: 195067*m - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1709 (b) -1\/5 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 8*h**2 - h + 8. Let f be x(8). Suppose -4*v = 3*z - 115 - 45, -3*v + 3 = f. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210b6 (base 13) to base 3\nAnswer: 1111202012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*y + 6211 + 2247 - 1508 = 0 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 10, 135, 2 in decreasing order.\nAnswer: 135, 12, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577908.\nAnswer: 2, 3, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228585021.\nAnswer: 107, 613, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 11 = -5*o + 4*c, 5 = -o + 4*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5729 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*a - 16, 0 = 3*u - 5*u + 3*a - 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -58?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112595, -113032, -113757, -114770, -116071, -117660, -119537?\nAnswer: -121702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - 53) + 75\/14 + 1\/2.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 148*s**2 - 48*s + 297. What is w(3)?\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*j + 187, -4*j - 52 - 180 = -f. Let z = j - -80. Suppose -z = -0*v - v. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.6 + 1.6. Let q = 20 + p. Let b = 5.4 - 5. What is the second biggest value in q, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 32?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9 + 12*w**2 + 8*w**3 + 7*w - 7*w**3 - w**2. Calculate the remainder when v(-10) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2112)\/22)\/24*15\/300.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + x + 15, -3*i + 0*x + 21 = 5*x. Is 15 a factor of (9 + 1)*(-90)\/i*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251410 a multiple of 1740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 9:21 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5837.6 times -65\nAnswer: -379444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-2)*(-6)\/4. Let j = z + 7. Let a be 710 + (j + -1)\/(-1). Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2579 = -d + 3953, -2164 = -s + 3*d. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 28*s**2 + 40424*s - 11552 = 0.\nAnswer: -1444, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -3 - (2 + -5). Let v = 11.455 - 11.955. What is the smallest value in s, -11\/2, v?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + s - 25, -4*s + 23 = -y. Let z be ((-6)\/2)\/(11\/y). What is the closest to -2 in -5, z, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/279 - -311\/2232. Let o = 2 + -2.1. Let l = -4.5 + -0.5. What is the smallest value in a, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 1, n: 2, o: 1, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 8*s**2 + s - 8. Let j be i(8). Suppose -6*p + 4*p + 10 = j. Suppose 2*o - 13 + p = 0. Solve o*l = -10 - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034590427 rounded to five decimal places?\nAnswer: 0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*m - 14. Solve -m*z = 5*q - 4, -5*z + 11 = -3*q + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -237*c**2 + 10*c**3 - 2*c**4 + 237*c**2 + ((0*c**2 + 4*c**2 - 3*c**2)*(-2*c**2 + 4*c**2 + 0*c**2) - 4*c**4 - 4*c**4 - 3*c**4)*(-6 + 3 + 1).\nAnswer: 16*c**4 + 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0279 + 165.4279. Let l = j + -164.137. What is l rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-8))\/(4\/(-8)). Solve 9 = -8*r + k*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -30 - (-7 + 6 + -24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167164 is divided by 23853.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 102*t**2 + 332*t - 659. Calculate q(2).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 b when four letters picked without replacement from {n: 3, q: 1, b: 2, o: 4, r: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 4\/3 (c) 4 (d) 2 (e) -372625\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -768873*g - 4180. Let l(h) = 16359*h + 88. Calculate 2*k(q) + 95*l(q).\nAnswer: 16359*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 49, 119, 219, 349, 509, 699?\n\"Answer: 15*i**2 - 5*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 30, -1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3502, -4148, -4794?\n\"Answer: -646*z - 2856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 1\/36*f**5 + 28 + 4*f**2 + 0*f + 1960\/9*f**3 - 35\/9*f**4. Factor t(b).\nAnswer: 5*(b - 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 1045*i**2 + 54775*i + 851375.\nAnswer: 5*(i + 35)**2*(i + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8570 and 40?\nAnswer: 34280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 3 - 3)*(-4 - 4 + 4)*(-11*h + 6*h - 17*h).\nAnswer: -176*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:12 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3287 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.104 + 1.104. Which is the closest to -0.1? (a) 4 (b) j (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/145937 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*x + 1 - 25 = 0, 24 = 3*l + 5*x. Let b be 366\/4 + (-2)\/(-4). Let d = b + -63. Calculate the remainder when d is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-40) + 6\/24. Let p = -8\/51 - 113\/255. Which is the smallest value? (a) -1\/6 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = 1. Let c(j) be the second derivative of 0*j**2 + 1\/3*j**3 + 0 + h*j. Let o(d) = 2*d**2. Determine o(c(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose 0 = -11*w - 24 + 200. Suppose -d*l - w + 100 = 0. 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 value of (4\/26)\/(-1)*29\/(-58)*9608\/(-2402)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 26 = -4. Let y(u) = -u**3 - 5*u**2 - 8*u - 38. Let w be y(k). Solve w*j + o + 5 = 0, 4*j = -4*o + 1 - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -459697*f**4 + 4*f + 53534.\nAnswer: -5516364*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 times 9.9243?\nAnswer: 1448.9478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-42)\/x**(-7) assuming x is positive.\nAnswer: x**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6313206 and 2109.\nAnswer: 233588622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, m: 1, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3164)\/339*42\/(-8) and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14, -0.1, 3073?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*2 - -2. Suppose 0 = -4*x - 4*j + 24, j = -5*x + r + 15. Round x to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -377 - -379. Solve -3 = -b + j, 3*j + 5 = o*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18776 + -18775. Put -30, -80, h in descending order.\nAnswer: h, -30, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r - 103*r - 5*u = -52*r + 9, 9 = 5*r + u - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 6*n - 27. Solve -s + n = 2*j, -s - 27 = 2*s - 3*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.1041\nAnswer: -0.02082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*j**2 + 365*j**2 - 191*j**2.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 0*d**3 + 2*d**2 + 1\/60*d**5 + 0*d**4 + 0*d + 0. Let b(n) = -n**2. What is b(p(a))?\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -3944350?\nAnswer: -3944352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (0 + 1)) + 3. Suppose t*s = -163 - 97. Let y = s + 113. What is the remainder when y is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8*j - 590572 = 0. Let b = j - -244843. What is b rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - 20*y + 9*y - 10*y + 34*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d. Suppose -267*b + 250*b = -102. Let j(k) = 1 + 3*k - 4*k + 0*k + k**2. Let r(i) = 4*i**2 - 6*i + 6. Let n(h) = b*j(h) - r(h). What is n(y(u))?\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 + n**5 - 4*n**5 + (-n**5 + 4*n**3 - 4*n**3)*(0 + 1 - 3) + 4*n**4 + 2*n**5 - 4*n**4 + 2*n**5 - 4*n**5 + 0*n**5)*(-22 - 16 - 16)*(-2 - 1 + 1).\nAnswer: 108*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52, 74, 94, 112, 128, 142, 154?\n\"Answer: -y**2 + 25*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224 + -208. What is the remainder when t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 2*l**2 - 13*l**2 + 4*l**2. Let i(q) = q. Calculate k(i(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/6 + 2*g**3 - 7*g**2\/2 + 5*g\/3 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - p - 13, -15 = 4*f + 4*p - 2 + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38 - 14)\/(2\/((-4)\/(-3))). Suppose -k + 4*y - 1 = 15, 4*y - r = 3*k. Solve 4*x + k*w + 24 = -4*w, -x = 4*w + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = -w, -11*a - 2*w = -6*a - 106. Calculate the lowest common multiple of a and 19*1 - (-3 + 4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:01 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 76. Suppose 4*l + 2*j - 6*j - b = 0, 4*j + 20 = 0. Let q(g) = -2*g + 39. Let x be q(13). Solve 0 = -l*r - 4*d - x, -4*d + 11 = -r + 28 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38562494?\nAnswer: 2, 17, 647, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 25 - 11 = -9*v, 4*o + 12 = 18*v - 15*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81852 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 + 1.8. Let h = b + 3.9. Round h to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 689 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*p + 1, u + 3*p - 5 = -3*u. Calculate the remainder when 6*1*1\/3 is divided by 2 + -3 + u\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*y - 3 + 7, 4*w + 4*y + 4 = 0. Let j(z) be the second derivative of w - 4\/21*z**3 - 4\/7*z**2 - 2*z - 1\/42*z**4. Determine f, given that j(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -17006943\nAnswer: -3401388.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2 - -11) + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*t + 16, -2*n + 2*t - 1 = -t. Let b(r) = -6*r**3 - 7*r + 9. Let f(q) = -3*q**3 - 3*q + 4. Give n*b(p) - 9*f(p).\nAnswer: 3*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.261547798441 + -0.4.\nAnswer: 7.861547798441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b**2 - 3*b + 3. Let r(u) = 969*u**2 + 133*u - 133. Calculate -133*q(s) - 3*r(s).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2040030 + -3534?\nAnswer: -2044004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - l = 6, -5*r + 2*l + 18 = -9. Let z(p) = 14 - 2*p - 6 + p. What is the units digit of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21364 and 380?\nAnswer: 2029580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3 - 3939*v**2\/2 - 40455*v\/2 + 78489 = 0.\nAnswer: -646, -27\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrssnuyryrar. Give prob of sequence yu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*o = -5 + 19, -3*o + 5 = j. Suppose -j*b + 8796 = 4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 8*s**2 + 11. Let r be f(-8). Suppose -r*j = -c - 8*j + 7, 5*c + 4*j = 35. Solve -17 - 4 = -c*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2412540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9 + 0*h**2 + 4*h**2 + 2 + h**2. Let b(q) = 11*q**2 - q - 15. Let r(s) = 3*b(s) - 7*t(s). Let p(j) = 6*j**2 + 8*j - 11. Give -3*p(d) - 8*r(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -423 + 1292. Round v to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 162 - 98 = 0. Let j = n - -48. Let r(d) = d**3 + 5*d**2 + 6*d + 5. Let h be r(j). Sort 4, h, -6 in descending order.\nAnswer: 4, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 4*n**2 - 2*n + 2. Let y be v(4). Let k be (-2 + -5)*y\/21. Is 16 a factor of (-2)\/k + -1 + 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-455)*5967\/5508?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zggzzgzgzzjgzj. Give prob of picking 2 j and 1 z.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 103 + 25 = 0. What is the greatest common factor of f and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70668 is divided by 152.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -1 (c) -4 (d) 1\/3 (e) 35\/471 (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 5*w - 10. Let l(s) = s**4 - s**2 + 2. Let x = 174 - 175. Let p(v) = x*g(v) - 5*l(v). Find j such that p(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2695 and 286.\nAnswer: 70070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1153, 2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from ooqqqooqqqqdqqoooqo?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 94459 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -l - 1. Suppose i + l = 3. Put i, 2, -1 in ascending order.\nAnswer: i, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = -4*z + 12*y - 5, 4*z - 5*y = 5. Suppose z = 200*l - 216*l - 1376. Is l >= -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 917*s**2 + 13750*s + 3. Calculate j(-15).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2283 smaller than -2283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/12 - 1\/4. Suppose -17 = -x + 2*k, 6*k - 13 = -4*x + 3*k. Let o(c) = 5 - x*c**2 - 3*c + 6*c**2 - 3*c. Determine o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 94 = -2*h, -30614*v - 2*h + 26 = -30613*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -272*w - 356. What is the units digit of j(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2584 (base 12) in base 7?\nAnswer: -15316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2\/7*h**2 + 0*h + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337471575 a multiple of 687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27959, -27939, -27921, -27905, -27891?\nAnswer: -27879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2362*t**6 - 7126*t**3 - 315159799*t**2 wrt t?\nAnswer: 283440*t**3 - 42756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2))\/sqrt(7)*6 - -4*((sqrt(5) + -2)*-4)**2.\nAnswer: -250*sqrt(5) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 2, w: 2, q: 4, x: 2}. Give prob of sequence cw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 177183281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.049, -3?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(22\/11)*238\/(-306)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11)\/x*((x**6*x)\/x)\/x)**(-9\/4) assuming x is positive.\nAnswer: x**(-207\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c5 + -1?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 799 and 7190\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2375\/6 - -403. Find the common denominator of -53\/8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 2*t**2 - 2*t + 1. Let n(o) be the second derivative of o**3\/6 + 6*o. What is the remainder when n(4) is divided by r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 1f?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/24200 and 117\/2200.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 (base 4) in base 5?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3 + 9\/2*r**2 + 0 + 33*r. What is the lowest common multiple of 5 and q(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9087 - -9177. Calculate the remainder when 24117 is divided by u.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 50 = 4*d. Let t = d - 32. Solve 0*a + 2*a + t = -3*n, -3*n = a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 212172169?\nAnswer: -424344338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.007 and -2316323.916.\nAnswer: -2316323.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 9*v - 6. Let i be w(-10). Find the second derivative of 6*k - 2*k**3 + 0*k**3 - i*k**3 - k wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-4 + 11 + -34 + 37 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-42) + 2 + 79670\/(-1799).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away -109.668?\nAnswer: 109.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 - 166. Solve 21*c = u*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 3*i**2 + 1. Let f(r) = 3*r**3 - 3*r**2 - r. Let c(j) = -3*f(j) - 4*h(j). Let b be c(-4). Let s(n) = -1 + 6 + 0 - 2*n + b*n. Give s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, u: 2}. What is prob of sequence xuux?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 + -9 + (57 - -25).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2*o - 2, y - o = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -3)\/30*-4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 5. Let w be b(-5). Let a(l) = 29*l**3 - 30*l**3 - l + 64*l**2 + 66*l**2 - 131*l**2 + 1163. Is a(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(12\/(-60))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 24*h + 2800. Let w = h - -427. Let j be 1\/3 + (-160)\/(-6). Are j and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + (sqrt(5808) + 1 - sqrt(5808)))**2*-6 - (4 + 5*(sqrt(5808) + (sqrt(5808) + (sqrt(5808) + 0 - sqrt(5808)))**2))).\nAnswer: 440*sqrt(3) + 58136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1028083160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.648*-0.167\nAnswer: 0.108216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -360, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Suppose 3*r + 3*t - 27 = 0, -6*t - 5 = -v*r - t. Solve -r*h = 3*w - 22, 2*h - 6*h = -w - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + -7 - -21 - 1) + (-5 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 77. Let a = i - -57. Suppose -4*s = 2*k - 4016010, -3*k + 3442230 = a*s + 1434215. Round s to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.26? (a) 27 (b) 2 (c) 10 (d) 7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o = -98 + 458. Solve g + m + 6 = 0, 2*m = 17*g - 18*g - o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -24*m**2 + m + 50. Let a(o) = 55*o**2 - 2*o - 101. Determine -3*a(p) - 7*u(p).\nAnswer: 3*p**2 - p - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 + 220*s**3 - 2311*s**2 - 2687519 + 800*s + 826*s**2 + 2690019 = 0.\nAnswer: -50, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 - 11*p + 33. Is 18 a factor of x(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let f be n(0). Suppose -54 = -3*c - f*c. What is the remainder when c is divided by (-403)\/(-31) - (-8)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 3*k**3 - k**2 - 168 + k**2.\nAnswer: -2*k**3 - 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 6*g - 2. Let s be u(-5). Let x(i) = i**3 - 2*i**2 - 2*i - 1. Let l be x(s). Suppose 17 - 65 = -l*h. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)**(5\/8)\/((w\/(w*(w\/(w**(-7\/5)*w))\/w))\/w*w*w**12) assuming w is positive.\nAnswer: w**(-207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by (-84 - 7)*6\/(-14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 4*a = -6*c + 8, 4*c + a + 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/20 - o**4\/3 - o**3\/6 + 3*o**2\/2 - o. Let m be y(4). Let x = m + 3. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*1*4*-2 + -6*5*(2*sqrt(95) + sqrt(95) + sqrt(95)))\/(-1*(-1*sqrt(30)\/sqrt(6) - (sqrt(720)*3 + sqrt(720)))))**2.\nAnswer: 311296\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4*(-253)\/(-1518)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.07, 4, -7369, 2\/23, -5 in ascending order.\nAnswer: -7369, -5, -1, -0.07, 2\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-58)\/(-52) + -1). Let t = 20 + z. What is the second biggest value in 0.5, 3, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - -0.8. Suppose 2*r - 2*q + q - 3 = 0, -4*q - 12 = 5*r. Which is the biggest value? (a) r (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/20 - i**4\/12 - i**3\/6 + i - 12. Suppose 2*w = 0, 5*v + 7 = -2*w + 2. Calculate j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Let h = 130.8 - 131. Let w = -0.07 + 0.07. Sort w, r, -22, h in descending order.\nAnswer: r, w, h, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(-4\/9))*(p\/(p*p**(-10\/7)))\/p)\/(p\/(p**(3\/4)*p)*p*p**(-2\/17)))**(20\/3) assuming p is positive.\nAnswer: p**(37285\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + 0. Let p = o - -4. Let m = p + -61.044. What is m rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times -1940\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/14)\/((-9)\/(-6) + -2). Let s = -6967\/52 + 134. Is a <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-85)\/(-35))*(-8)\/(-6). Let c = -4 + 3. Let a be 7\/12 - (-2)\/(-6). Sort f, a, c in increasing order.\nAnswer: c, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2030900 to the nearest 10000.\nAnswer: -2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 445, 668, 891, 1114, 1337?\nAnswer: 1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Let z be (-4)\/(24\/15)*2. Let f = 10 + z. Let d be j(f). Calculate the highest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 247458 or -19?\nAnswer: 247458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + 6. Let g = 52 - k. Calculate the least common multiple of 2 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -3 + sqrt(117) + 2 - (-5 + sqrt(1872) + 0))**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.41, 1, 1.8?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202 + 103 + 125 - (2 - (2 - 1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -108. Suppose -2*b = 4*b - 3*b. What is the second biggest value in o, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2978 + 0.0022. Let z = 3071\/5135 - -2\/1027. Which is the closest to 1\/7? (a) z (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.8, -1, 1.\nAnswer: -15.8, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -2*v**6\/15 - 8*v**5\/5 - 20*v**4\/3 - 32*v**3\/3 - 12*v + 1. Factor q(k).\nAnswer: -4*k*(k + 2)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09955 rounded to three dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + 6 + -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1050*c*v**5 - 440*c*v**2 + 2*v**2 wrt v?\nAnswer: -63000*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 162329246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 15*c**2. Let z(b) = -b**2 + 318 - 318. Determine z(o(t)).\nAnswer: -225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3358194 less than -5.1?\nAnswer: 3358188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 17*t**2 - 48*t + 75. Give n(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.61 - -0.39. Let u = -10.9832 + x. What is u rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 11*p**2 + 10*p**2 + (-p + p - p)*(-2*p + p + 2*p))*(9*p**3 - 48*p**3 + 5*p**3).\nAnswer: 170*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2102877 is divided by 1248?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 - 4*h**5\/15 - 17*h**4\/24 - 10*h**3\/3 + 2*h**2. Let l be b(-15). Differentiate -4 + l + y**3 + 3*y**3 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 10*f**2. Let h be y(10). Let x be h + -2 + 408\/205. Suppose 5*s = p - 3*p, 4*s = 2*p. Is p <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -1\/4 (c) 0.68 (d) -5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 2945?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9265)\/34*6\/5. Let g = c - -341. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -y - 9, 0 = -3*j + y + 2. Let s be (-1 + -1 - j)\/4. What is the second biggest value in s, 0, -4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.449 + -0.449001817. Round z to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4459*o**4 - 2*o**3 + 134 - 3*o**2 - o**3 - 2*o + 4*o**3 - 4461*o**4 to c + b*o + j*o**2 + a*o**4 + t*o**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 15*l - 4. Calculate the least common multiple of 23 and f(-14).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 160*r**2 - 4783*r - 511. Calculate b(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 559*y - 6718. Determine k(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -573, -680, -857, -1140, -1565, -2168?\n\"Answer: -6*c**3 + c**2 - 68*c - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -5.00695.\nAnswer: 1.502085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 3. What is the remainder when 13 is divided by g(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4385536 and -0.5.\nAnswer: -0.0614464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 862473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-949)\/(-7592)*16\/(-58).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12\/16*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c - 39. Let w = 37 + c. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/22 and 63\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -126*l. Let k(s) = -2*s. Let b(z) = 56*k(z) - v(z). Let y(j) = -2*j. Calculate y(b(w)).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376308182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -38*u - 263. Let y be a(18). Let p = y - -1330. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*o**3*q**4 + 7456*o**3*q**2 - 15*o**2*q**6 + q**2 wrt q.\nAnswer: 576*o**3*q - 1800*o**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1000\/(-30)*(-6)\/4. Calculate the greatest common divisor of 450 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2014996 and 170428?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 262.87\nAnswer: -266.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 97*j**4\/24 + j**3\/3 + 19*j**2. List the prime factors of m(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 5*c**3 + 4*c**3 + (0*c - 5*c + 3*c)*(2*c**2 - 2*c**2 - 2*c**2) - 5*c**3 - 253*c**2 + 253*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + -7.4. Let u = y + 15. Let j = 0.05754 - 0.55754. Which is the nearest to 1\/2? (a) j (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-1))\/(67 + 450500\/(-6715))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 3*j = 5, -f - 4*j = 0. Suppose -5*q + 2*q = -f*m - 40, -18 = 2*m - q. Let g = 20 - 28. Are m and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(2 + 0\/(-1)). Suppose 2*j - 2*h + q*h - 12 = 0, 2*j - 5*h = 48. Calculate the least common multiple of 10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajjajwiaqajjaa. Give prob of sequence jqja.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3 + (-4578)\/(-98))\/((-3)\/(-126)) and 3.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f - 1. Let z be q(1). Let h be z - 12 - 17\/8. Which is the nearest to -3\/8? (a) h (b) 1\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, p: 1, z: 4, m: 6}. What is prob of sequence mmmp?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72) + 3 - sqrt(72)) + sqrt(72))**2 + (sqrt(72) - (-4 + 2*sqrt(72) - sqrt(72)))**2.\nAnswer: -72*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t - 2. Let l be z(2). Suppose -12 + 6 = -3*i. Solve 2*w - l*x = 4, 3*x - x + 14 = -i*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t + 7255384 + 18*t**2 - 7255384.\nAnswer: 18*t**2 - 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -92.5. Let z = -17.7 + f. Which is the nearest to z? (a) -0.5 (b) -0.4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t + 232. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3591 - -3590.9813. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36233, -3\/8, 2\/7, -318?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2\/7, 4, 2\/9, 10522.\nAnswer: -2\/7, 2\/9, 4, 15, 10522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (-3901)\/(-235))*15\/(-372)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17525 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152.1 + 145. Let p = k - -7. Which is the nearest to -1\/2? (a) p (b) -2\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k + 28. Suppose 0 = 4*h - 4*o + 12, 2 = h + 4*o - 10. Does 14 divide x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4916 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0827 + 175.1173. Let q = v - 8.2. Let u = -174.9 + q. Round u to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8687 + -8692. Let s(x) = -31*x - 147. What is s(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 302 and 5666.\nAnswer: 855566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-7)\/49) + 6. Solve 0 = -c*u + 18*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 - 4*o**5 + 3*o**5 + (2*o**2 - 2*o**2 + 2*o**2)*(-16*o**3 - 14*o**3 + 12*o**3).\nAnswer: -37*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1403 and 427.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 975*t**3.\nAnswer: -3*t**3*(t + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-58)\/(-12) - (-168)\/252)*8\/11. Let t(k) = -23*k**3 + k**2. Let z(d) = -22*d**3 + d**2. Calculate r*z(l) - 5*t(l).\nAnswer: 27*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.501? (a) 4 (b) -5 (c) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-42)\/(-7))*2\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -50423565?\nAnswer: -201694260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/2? (a) 0.16 (b) -1\/10 (c) 0.79 (d) -1 (e) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -19 - (4 + 9)) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/132 + m**3\/33 - 20*m. Factor f(s).\nAnswer: -s*(s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15104151 divided by -5034717?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1155 + 1728 + 2*p - 998 to l*p + v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 1. Let i(h) = -6*h - 1. Let o(z) = -i(z) - 5*s(z). Let x be o(-16). Let r = x - -22. Solve 2*v - 7*v = 2*u - 15, -r*u + 5*v - 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 35966 = -212440. What are the prime factors of y?\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 2*d = -43, -2095*w + 3*d = -2093*w + 107 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*s - 9418 - 2505 = 7307 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -73446?\nAnswer: 2\/36723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 4:09 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {r: 2, u: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 0.1, 6\/7, -0.11, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrqqqrqqrfqfrqqqqfq. Give prob of picking 2 r, 1 q, and 1 f.\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**8\/504 + 4*w**7\/105 - w**6\/180 - 2*w**5\/15 - 5*w**2 - 27. Suppose m(u) = 0. Calculate u.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 23*c**2. Let i be y(-23). Suppose -3*m + 5 = 4*z, -6 - 7 = 4*z - 3*m. What is the units digit of (1 - z) + i + 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -2 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*k + 44, -4*d - k = -3*k + 56. What are the prime factors of 3\/d + 130\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -546*o + 178*o - 11*o**2 + 182*o + 186*o + 8 as u*o + c*o**2 + b and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, 1.8, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 112. Which is the third biggest value? (a) -42 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-143) + 390\/33 + -2. What is the greatest common divisor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -189131?\nAnswer: -3\/189131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2156804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 1, p: 3, r: 4, f: 2, g: 4}. What is prob of picking 2 f and 2 p?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/19))**(-6\/11)*(b**(1\/3)*b)**(3\/46) assuming b is positive.\nAnswer: b**(-1928\/4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1955 = -3*r + g, 4*g + 6 + 2 = 0. Let q = -633 + r. Calculate the smallest common multiple of q and 204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -64*s + 2213. Does 5 divide k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076564 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 8*v**2 + 9*v - 10. Let w be y(7). Suppose 0 = -4*q - 4*h - 536, q + w*h - h + 128 = 0. What is the common denominator of -77\/2 and q\/6 + 4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 482\/7. Let k be (0 - (-3)\/2)*750\/(-36). Let d = -32 - k. Put -2\/9, b, d in decreasing order.\nAnswer: b, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:46 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 560929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58499 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + u = -2*u + 5787, 3*x = 2*u + 8661. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -177\/751?\nAnswer: -177\/751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513371?\nAnswer: 513371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.4 and -1.253281?\nAnswer: 20.5538084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 29*f - 2. Let w(m) = 8*m + 18. Let v(z) = 2*z + 4. Suppose 4 = -a + h, 3*a + h + 14 = 5*h. Let o(p) = a*w(p) + 9*v(p). Calculate o(i(q)).\nAnswer: 58*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Calculate the smallest common multiple of 10 and 9\/12*2*d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -3, 4 in decreasing order.\nAnswer: 5, 4, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f + 0 - f**2 - 1\/24*f**4 + 7\/2*f**3. What is the remainder when 66 is divided by j(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1416 (b) 4 (c) -4\/5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(-3 + sqrt(396))**2 + (sqrt(66)\/(sqrt(2) - sqrt(2)*2))\/sqrt(768).\nAnswer: -6913*sqrt(11)\/16 + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -51*r - 3. Let m(q) = -q**2. Calculate m(p(n)).\nAnswer: -2601*n**2 - 306*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 40\/(-16)*12\/(-8)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7147 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/60 + o**4\/8 + 7*o**3\/6 - o**2. Let i be u(-5). Solve 0 = 3*k - 5*c + 5, 0*c + i = -5*k + 4*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 18 + 14. What is the least common multiple of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 724904 and 724903 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-14)\/105?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 61, 55, 35, -5?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 15)*(-1)\/(4 - 1). What is the greatest common factor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 2*n**2 + 2*n**2 + (n**2 - n**2 + 3*n**2)*(2*n - 5*n + n) + (-3*n + 0*n + 4*n)*(3*n**2 - 5*n**2 + n**2) to t*n + c + i*n**2 + u*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 7*g. Solve g = 3*h + 4*p - 9, 2*h - 3*p = 5*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3096168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 + 4*u + 6. Let i(j) = j**3 - 5*j**2 + 5*j + 7. Let n be 45\/(-18)*-26 + -7. Suppose n*q = 64*q - 24. What is q*i(l) - 5*z(l)?\nAnswer: -l**3 + 5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Suppose t*c + 25 = 2*w, 0 = -4*w - 4*c + 107 - 27. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5741624?\nAnswer: 2, 7, 97, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:51 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 49*h**2 - 97*h + 145. Let a be c(47). Let f = 42 - 24. Solve 3*r = -a*o + 5*r + f, o - 2*r - 3 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 5, b: 3, q: 1, i: 3}. What is prob of picking 1 q and 1 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 158937*f - 11761375. Calculate u(74).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2 - 106*o + 15. Let a be z(15). Let m be -32*(a + 8)*1\/(-2). Which is smaller: 129 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 73. What is the third biggest value in d, 5, -2\/5, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 24*b**2 - 89*b + 5. Determine h(-4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 3*f + 6. Let m be v(0). Let o be (-10046)\/4*5\/((-165)\/m). Let h = o + -457. Which is the closest to 0? (a) -0.4 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(p + 2*p - p) + (-3 - 2 + 7)*(-p + 5*p - 3*p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (1 + -3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9609494 rounded to one decimal place?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11422733 less than or equal to 11422732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 9\/(36\/32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1114 - 1110. Which is the fourth smallest value? (a) g (b) 3 (c) -1 (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-470))\/(((-7)\/(-7))\/(-1)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-5) + 2 + 42\/120. Let j = -6 + 4. Let k = j - -2.2. Put -0.5, t, k in decreasing order.\nAnswer: t, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/69984 and -7\/48.\nAnswer: 69984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 283\/2 + -135. Calculate the common denominator of x and 61\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 6 = -2*w, -4*w = -2*r + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 2*o**2 - 2*o**2. Let c(s) = s**2 + 4*s - 7. Let b be c(-6). Let i(a) = -3*a**2 + b*a**2 - a**2. Give r(i(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-2)\/10 - (-12)\/1470*-133).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3055.31457 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3705730, 3705674, 3705580, 3705448, 3705278, 3705070, 3704824?\n\"Answer: -19*p**2 + p + 3705748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 4*u - 2*u**2 + 4*u**2 + 3. Suppose 31*q = 29*q + 18. Suppose -q = -o + 5*g, 0*o + 5*o - g = -27. Determine s(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 23*s**2 + 31*s + 15. Calculate l(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25510 is divided by 1700?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 194.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155316?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13834575?\nAnswer: 3, 5, 61487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6685 + z**2 + 1683 + 1617 + 1687 + 1698.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 2*u - 2*u)*(-2*u**3 + 2*u**2 - 2*u**2) + 2*u**4 - u**4 + 8*u**4 in the form g + r*u + j*u**4 + n*u**2 + b*u**3 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 108. What is the nearest to -1 in b, -3, -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 172231 and -5.\nAnswer: -861155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1*-7498\nAnswer: 7498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**6\/18 - 7*v**5\/15 + v**4\/2 + 6*v**3 - 45*v**2\/2 + 27*v - 47. Factor x(j).\nAnswer: (j - 3)**3*(j - 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -241, -759, -1765, -3421, -5889, -9331, -13909?\n\"Answer: -27*t**3 - t**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-10))\/(4\/(-10)). Let v = 78 + -49. Is -3 + (h - 4) + v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 2\/3*(-42)\/4. Let b(l) be the first derivative of l**3\/3 - 5*l**2\/2 - 6. Give b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/5 - 279*a**2\/5 - 2184*a\/5 - 4336\/5 = 0 for a.\nAnswer: -271, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1575700 to the nearest 10000.\nAnswer: 1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -247*n + 86. Let x(h) = -638*h + 259. What is -8*g(s) + 3*x(s)?\nAnswer: 62*s + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 398148547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 7. Let k = -2 - c. Suppose 2*x = -3*d + 1, 0 = -x + k*x + d - 9. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 240*h - 229*h - 34320. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236894529 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.091957?\nAnswer: 0.0459785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.795 + -724.685. Let p = u + 645. Let o = -3.88829 - p. Round o to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -17*q**2\/2 - 15*q - 23. Let o(d) = 222*d + 195. Let g(y) = 27*c(y) + 2*o(y). What are the prime factors of g(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:06 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 23 + (20 - 12) + -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, -382, -383?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f - f - f + (f - f - 2*f)*(-1 + 1 + 1) + (-124 - 55 - 91)*(-1 - 3*f + 1).\nAnswer: 811*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 4130345505?\nAnswer: 4130345513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 - 10)\/((-2)\/8). Let x be (y\/6)\/(4\/264). Calculate the remainder when 42 is divided by (x\/(-6))\/((-10)\/(-15)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 18 = -3*x. Let l be x - (-2 + 2 - 2). What is the units digit of 30\/4*l\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/90 - j**3\/2 + 7*j**2. Let z(b) be the first derivative of c(b). Let y(a) = 3*a. Determine y(z(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-3 + (-1 - -1) + -178 + 180 - 26).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10527 + -31b?\nAnswer: 1020b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (6 - -9 - 5) + -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2. Let g(h) = 14*h**2 + 8. Let j(i) = -5*i**2 - 3. Let o(p) = -3*g(p) - 8*j(p). Determine w(o(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528 + 536 + 59*n**2 - 2*n - 76*n**2 + 2*n**2 + n**2 - n**2 + (n - 2*n + 3*n)*(0*n - 4*n + 6*n) + 2*n - 2*n**2 - 2*n to c + m*n + y*n**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i - 234 + 279 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*18*(-3)\/(-1 + -5). Suppose b = 3*p, -3*l - 264 = -6*l - 5*p. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r - 158. Let f be g(18). Suppose -5*l - 2*n + 565 = -2268, -l = -f*n - 571. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038 (base 16) in base 10?\nAnswer: -4152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.4, 1\/3, -856.17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 19*p + 60. Determine v(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -326, 43, 1106, 2863, 5314, 8459, 12298?\n\"Answer: 347*q**2 - 672*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m**2 - 2*m - 8. Let x be t(5). Suppose x + 2069 = 2*i. Is i 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 {i: 4, r: 2, s: 2, e: 2}. Give prob of sequence iei.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**3\/6 + 21*g**2\/2 + g. Let d be ((-8)\/12)\/((-1)\/(-6)) - -4. Let q be r(d). What is the highest common factor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 8. Suppose 3*j = -0*j + m - 1, -5*j - 11 = -h*m. Let v = j - -5. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 41457.5?\nAnswer: 41458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 + m - 5. What is the remainder when 11 is divided by r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -27*f - 3*u + 197922, 6 = -u. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 15000 = 3*j - 0*w, -3*j + 2*w + 15000 = 0. What is j rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407.83 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/260)\/(2590\/(-2775))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/(-34))\/(4\/(-12)). Suppose 0 = 3*r - 8*r - 20, 5*i - 21 = 4*r. What is the second biggest value in -3\/7, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7375 - -10448. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 619?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1871*d = -2780*d - 1700*d - 7407*d - 811722 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d7ac (base 16) in base 13?\nAnswer: -1c191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9455, 11326, 13197?\n\"Answer: 1871*k + 7584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -547100?\nAnswer: 547100.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:46 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - (29 - -1)) + (-36 - -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256249*u - 256249*u - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434924 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79 or -111742\/1437?\nAnswer: -111742\/1437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4152, -8288, -12406, -16506?\n\"Answer: 9*q**2 - 4163*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6839021 is divided by 2279666?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 15. Give o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 13. Let v be 0\/((-8)\/2 - -3). Suppose v = d*n + 3*y - 374, -3*y + 12 + 77 = n. Calculate the highest common divisor of 38 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 20 = 0, 4*v - 4*g + 9 = 653. What is the remainder when 969 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2eb74 - 2?\nAnswer: 2eb72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91404893597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -3900555.262184.\nAnswer: -3900559.262184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 11*p**2 - 9*p - 3. Let o = 153 + -149. Suppose -3*y = -c + 17 - 9, -29 = -5*c + o*y. What is the remainder when b(9) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18135137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2. Let m = -24 - -18. Let t(h) = -17*h - 6. Let v(n) = -2*n - 1. Let o(y) = m*v(y) + t(y). What is o(q(w))?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-11)*((-28)\/98)\/((-1125)\/35)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-126)\/(-4)*10\/(-45)*-3. Suppose m - 18 - f = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**6\/90 + a**5\/20 - 2*a**3\/9 + 5*a. Factor k(p).\nAnswer: -p*(p - 2)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzrzlhal. What is prob of sequence rpzh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o. Let d(t) be the second derivative of -1\/12*t**4 + t + 0*t**3 + 0 + 0*t**2. Calculate d(g(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:32 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 17*s**4\/3 + 11*s**3\/6 + 14*s - 3. Find the second derivative of h(t) wrt t.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -3\/7 (c) -1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*g*l**2 + 335*f**2*l**2 - 2*f**2*l + 3*f*g*l**2 - 2*g*l - 2*g - 2558*l wrt l?\nAnswer: -4*f**2*g + 670*f**2 + 6*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-2\/89)\/(r**(2\/19)*r*r\/(r**(-7)*r))*(r*r*r**(2\/3))**(-14\/11)*(r**0)**(-3\/7) assuming r is positive.\nAnswer: r**(-642944\/55803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*n - 1, 133*n - 3*p - 3 = 136*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -1\/20*m**6 + 0 + m**3 + 0*m**4 + 0*m**5 + 0*m - 4*m**2. What is the first derivative of k(i) wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t + 3. Let m(w) = 4*w + 2. Let b = -445 - -450. Let v(k) = b*m(k) - 3*r(k). Determine v(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**3\/6 - 5*s**2\/2 - 2*s. Let l be x(6). Suppose -2*k = -9 + l. Solve 3*i = -7 + k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 676, 1268, 1878, 2512, 3176?\n\"Answer: r**3 + 3*r**2 + 576*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 201*a**2. Let w(i) = 8895*i**2. Determine w(n(o)).\nAnswer: 359366895*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-3 + 5) - 1. Let d = m + 3. Let n = -5 + d. Is n bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 13*j - 444. Let d be h(-12). Solve 5*f = -x - 18, -4*f - 8*x + 4*x - 24 = d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6749 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, 14, -2 in descending order.\nAnswer: 14, 5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 14 - 15)*(1 - 1 + 3*c - 4*c + 4*c - c + (-1 + 1 - c)*(-3 - 1 + 6) - 2*c + 0*c + 4*c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041, -2077, -3139, -4239, -5389, -6601, -7887?\nAnswer: -9259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 - s - 1. Let u(i) = -3*i**3 - 18*i**2 + 9*i + 3. Let c(n) = -u(n) - 2*z(n). Calculate the remainder when c(-16) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 + 12 - 12 - v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 - -1600\/7. Let r = -1.335 - -1.715. Is i at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2) + (-2)\/(-1). Let h be (-6)\/4*(-3 + r). Let y(t) = -2*t + 4. What is the least common multiple of 4 and y(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 3 + 17 = u + u, -6*h - 8 = -5*h + 3*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2*c**6\/9 + 32*c**5\/5 + 160*c**4\/3 + 280*c**3\/3 - 322*c**2\/3 - 312*c + 8908. Solve q(y) = 0.\nAnswer: -13, -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d. Let t(a) = -a**2 - 5*a + 14. Let o be t(-8). Let j be 2\/8 + (3 - o\/(-8)). Let b(n) = -5*n**2 + 47*n + 3*n**j - 47*n. Determine h(b(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5303 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 507647083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279 - 273. What is the greatest common divisor of a and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340278*b**2 - 130 + 130.\nAnswer: -340278*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54339598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3853, 3 in increasing order.\nAnswer: -3853, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11745 and 6.\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/4 - 7*o**2\/2 - 15*o - 18 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 9*y**2 - 2*y - 3. Let x = -2830 + 2821. What is m(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**4 - 6*o + 2. Let a(b) = 6*b**4 - 7*b + 3. Let q = -22 - -15. Let i(n) = q*s(n) + 6*a(n). Find the first derivative of i(f) wrt f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-21) - (-634)\/14. Let z = u - 20. Solve -3*x - z = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 228824430 and 486.\nAnswer: 228824916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350142, 700283, 1050424?\nAnswer: 1400565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10533\/4 - -2634. Put d, -4\/7, -1\/4 in descending order.\nAnswer: d, -1\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7279 and 783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -30*h - 14. Let w(k) = -14*k - 7. Calculate -2*f(l) + 5*w(l).\nAnswer: -10*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 17. Give s(63).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 3*d - 1\/2*d**3 - d**2 + 0. Let w be x(-2). Solve -u - w = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175893 + 0.01949.\nAnswer: -175892.98051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.8707214903 + -257\nAnswer: -255.1292785097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 + (3 - 6) + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-2)\/1056012*-3). Let a be 7\/28 - k\/8. What is a rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 27689*u + 720083\/2.\nAnswer: -(u - 13)*(u + 55391)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccmmmmcmmmcc. What is prob of sequence mm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7478 - 4064. Calculate the highest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1745 - 1738. What is the highest common divisor of s and 2051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2) - (-1548)\/1204. Which is the smallest value? (a) 2\/3 (b) 2\/69 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.2, -27, 30\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12138 and 408.\nAnswer: 48552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.4168 + -32.17. What is o rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*k + 28370, -5*u - 5708 = -k - 34. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, -65\/8, -2\/5, 4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/3 - 2932*n + 8793 = 0.\nAnswer: 3, 8793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1297\/1080 - 98\/135. Find the common denominator of c and -97\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 1. Let n be y(-2). Suppose -1 = -3*k + k - n*d, 0 = k - d - 3. Suppose -k*g = g - 15. Solve 4*m + 24 = -4*h, -h + 2*h - g*m = 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**24\/(u*(u*u**0\/u*u)\/u)**(-1\/26) assuming u is positive.\nAnswer: u**(-623\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1469922, -2939844, -4409766?\n\"Answer: -1469922*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 22.53.\nAnswer: -112.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.477 + 0.683. Let b = r + 38.144. Round b to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224792596?\nAnswer: 2, 7, 59, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (4*sqrt(77)\/sqrt(7))**2 - (sqrt(198)\/sqrt(2))**2.\nAnswer: -275 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145d4 (base 15) to base 6.\nAnswer: -1223001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -12 - 1 - 17*j + 28*j + 27*j. What are the prime factors of l(6)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-2))\/(-143)*33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:35 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, -54, 312, -0.8, -10\/3 in descending order.\nAnswer: 312, 1, -0.3, -0.8, -10\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (27 - 8) - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2879536 is divided by 959831?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3 + (-11 - (14 - 0)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 6*p**2 - 33*p + 44. Let d = 9099 - 9090. Give k(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-159)\/(-53))\/((6\/(-130))\/1).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182 + -166. Suppose 4*b = 5*m + 6 + a, -6 = 3*m. Solve 4*g = 4*x + b*g - 16, g = x - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -305*k - 8. Let i(m) = -209230*m - 5490. Determine 2745*d(l) - 4*i(l).\nAnswer: -305*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277691 = -38*y + 162349. What are the prime factors of y?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 6.7 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4441\/90 + -373\/9. What is the common denominator of l and 11\/4332?\nAnswer: 21660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuua when four letters picked without replacement from {u: 13, a: 1, t: 3}?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 832\/(-80) + (0 - -3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79679 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {c: 1, i: 1, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21465 divided by -35.\nAnswer: 4293\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1111010?\nAnswer: 1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 168868 divided by -2952?\nAnswer: -42217\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-6 - 7 - -3) - 9\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76351845 rounded to two decimal places?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 522\/14 + 1914\/(-6699).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/356 and -99\/16?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 12*i - 7. Let t be n(7). Suppose -t*r = -r. Solve r = -5*v + 3*g + 30, 0*v - 4*g - 8 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**6\/180 - 5*x**4\/24 + x**3\/2 + 5*x. Let r(u) be the second derivative of c(u). Find the first derivative of r(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from ixrrxanavnxx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555, 548, 531, 498, 443, 360, 243?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0090572 to 5 dps.\nAnswer: -0.00906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 114*b**3 - 7*b**2 + 5*b - 1. Let x(k) = k**2 - 3*k - 18. Let g be x(-4). Suppose o + 3*s + g = 3*o, -4 = -o + s. Is n(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 66. Let k be r(-3). Which is the fourth smallest value? (a) k (b) 0.3 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + 0.6. What is the nearest to 0 in -1\/7, c, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpllp. What is prob of sequence lp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534510513 (base 6) to base 10.\nAnswer: -9464877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 7:12 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 1:17 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23333 (base 9) to base 7.\nAnswer: -63300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 261228+-2254\nAnswer: 258974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 (base 11) in base 5?\nAnswer: 21402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 103, 0 in descending order.\nAnswer: 103, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 5 = 41. Suppose 0 = t*f, 4*h - 2*f - 4279 = -947. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(1 + 4 - 3) + 5 + 4 - 6 + 2 + 1 + 0 - 1 - 4 + 3)*(-5 - x + 5)*(0 + 4 - 5).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -434698, -434611, -434464, -434257?\n\"Answer: 30*g**2 - 3*g - 434725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -615, -616, -617, -618, -619, -620?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*f**3*o**3 + 415*f**3*o - 24*f*o**3 + 1891*f wrt f.\nAnswer: 1374*f*o**3 + 2490*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 8, -7*g - 22 = -9*g + 3*n. Suppose -3*m + 4*m - 208 = -g*j, 0 = -2*j + 4. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:53 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15288397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 220*g - 3113. Determine i(93).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5479 smaller than -71220\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 22*c**2 - 370*c - 1050.\nAnswer: 2*(c - 21)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20130 = 4104*a - 3566*a - 23448 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (62\/(-4) + 16)\/((-2)\/(-3140))?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2513*t + 85 - 20 = -2518*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 6, m: 1, z: 1, o: 1, w: 1}. Give prob of sequence saom.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290 != 0.9244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.059398\nAnswer: -0.0059398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 + -2 + 4). Let n = 62895\/61 - 1031. Is w not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*y**3 + 14\/5*y + 392\/5 - 4*y**2 = 0 for y.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.01, -2\/301?\nAnswer: -2\/301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -t + 46*v - 45*v, 0 = 5*v. Solve 4*y - 12 = 4*n, -5*n + 4*n - 3*y = -t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**9\/3024 + m**6\/120 - m**4\/6 + m**2. Let n(v) be the second derivative of f(v). Find the second derivative of n(t) wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3790322485 to the power of 1\/2, to the nearest integer?\nAnswer: 61566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {t: 2, n: 4, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**6\/660 - 727*t**5\/330 - 32942*t**4\/33 + 132496*t**3\/33 + 858*t**2. Factor m(q).\nAnswer: -2*(q - 1)*(q + 364)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17730738 and 1458?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*f + 22 - 4 = 0, 22 = y + f. Suppose -5*h - 7 - 28 = -5*w, 2*w - 12 = 4*h. What is the remainder when y is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -74, -69, -64, -59, -54?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Solve -3 = -3*u, -1 = -z - u + d*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 7}. What is prob of picking 3 b and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.273991 to one decimal place.\nAnswer: -19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33535752?\nAnswer: 2, 3, 311, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72.6? (a) 1 (b) 62 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urp when three letters picked without replacement from xaupyrur?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5 + 372*r**4 + 34962*r**3 + 67340*r**2 - 102675*r = 0.\nAnswer: -185, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*n + 9, 7*n + 2*x = 3*n - 12. Is 2\/n - 591\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**3 + 5*l**2 + 2*l. Let c(q) = 6*q**3 - 4*q**2 - 2*q. Calculate -5*c(h) - 4*d(h).\nAnswer: -6*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11010001100110111?\nAnswer: -11010001100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -110 - (2 + 1 + 1 + 42 + -49)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/20*((-145)\/(-25) + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2439 + 14931 = 36*j. What are the prime factors of j?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + 1. Determine h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6365074706.219 - -0.1.\nAnswer: 6365074706.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508471 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/348448374 and -21\/22?\nAnswer: 3832932114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(52) + sqrt(832))\/sqrt(2))\/(-2*sqrt(18) + sqrt(18)) + -4 + sqrt(468)*3.\nAnswer: -4 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6163 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311 - -1?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7294 + -109346\/15. What is the common denominator of p and -4\/261?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.164 - 22.1636263. Round x to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 3524 = -10176. Let b = n - -1246. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175295801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*k = -z + 4, 10 = z - 4*k. Suppose 0 = 2*h + 4, -z*h + 27 = 4*t - 9. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5506 - -5873. What is the remainder when u is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207511570?\nAnswer: 2, 5, 29, 4163833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 146*r + 1400. Calculate g(-5).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 951357 (base 10) in base 7?\nAnswer: 11041431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 - 196. Suppose 0*t + 240 = -4*t. Let g = m - t. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*2)\/((-1)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 5) to base 3.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 8*p**2 - 26*p**2 + 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - y - 7 = 0, -3*g + 7 = g - 5*y. Sort g, 0.2, -7 in ascending order.\nAnswer: -7, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 306, 1127, 2724, 5355, 9278?\n\"Answer: 43*a**3 + a**2 - a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 4:58 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose w - 3*u + 9 + 6 = j, 4*w = 3*u - 15. Suppose w*o = -3*o + 18. Solve o = 4*k + s, -2 = -2*k - 4*s + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190717073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -26. Let y = j + -7. Suppose w - y*w - 3*d = -21, -w + 14 = 5*d. Calculate the remainder when 34 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vamj when four letters picked without replacement from vmvaavvvaja?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 + -5.85. Let v = f - -5. Let y = -661\/63 - -75\/7. What is the closest to v in 4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17013 is divided by 515.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 15*o + 4. Determine h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1201*z**2 - 181*z**2 + 269*z**2)*(-2*z + 4 - 6 - 4*z).\nAnswer: 6678*z**3 + 2226*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.1 - 8988.2203616.\nAnswer: -8996.3203616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Suppose 0*b - 5 = -c*b. What are the prime factors of b\/(-2)*(-1 - 49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**4 + 3*u + 0*u + 1 - 3*u + u**2 as z + h*u**3 + v*u**4 + x*u + d*u**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25649.589 + 25663. Round i to one dp.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 6*m - 30. Let p(t) = -5*t**2 - 3*t - 2. Let o be (4\/6)\/(((-4)\/(-2))\/(-6)). Let y be p(o). What is the units digit of j(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*i - 10*i + 1640, 3*a = 4*i - 1605. Is i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 10*q - 5. Let c be m(9). Let o(l) = 2*l**2 + l + 14. Let u be o(0). Solve -s + 3*i = -2*s + u, s - 19 = -c*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 4*k - 7. Let t be f(6). Suppose 0 = l + 4*l. Suppose -t*u + 75 = -l*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228336 or -228463?\nAnswer: -228336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -113011?\nAnswer: 113002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/5, 3, -6, -0.9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 2*r**2 + 3*r + 3. Let y be m(-2). Suppose -14*f - 19 = 9. Which is the third biggest value? (a) f (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(15)\/(sqrt(3) + ((2*sqrt(21))\/sqrt(7) - sqrt(3))))**2 - (sqrt(120)\/(sqrt(3)*-1))\/(sqrt(8)*3*3 + sqrt(8)).\nAnswer: -21\/2 + sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1548 - -1602. Solve 20 = 4*l - m, l - n + 49 = 2*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/60 - d**4\/8 + d**3\/2 - 3*d**2. Let q(t) = -3 - 6 + 10*t**3 - 8 + 16*t + 1. Determine -16*a(c) - 3*q(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*(-38)\/2432*16)\/((-261)\/232)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hawaafaaw. What is prob of sequence aa?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/189*(-126)\/448?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 45 + 12. Suppose -5*r + 61 = -j. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 108*y + 503. Calculate d(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Suppose 0 = -f + p*f. Solve 3*j - 15 + 3 = f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3671207 = -153*a - 4989817. Round a to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 33*m**2 + 3*m + 2. Let b be x(-3). Let r = 5147 - 154349\/30. Find the common denominator of (6\/30)\/(36\/b) and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 + 5*s - 4 - s - 1 wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - -1681. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(-6)*(-36)\/((-2)\/(-1)) and 147.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/1663 + 250429\/59868. Find the common denominator of x and -5\/1368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16657098 by 3.\nAnswer: 5552366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23694441*z**2 - 842*z + 92584.\nAnswer: 47388882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/14 + 377\/130?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 62*z**2 - 7*z. Suppose -2*o - 2*b + 18 = 0, -429*o + 425*o = 5*b - 42. Let d(i) = 31*i**2 - 3*i. Give o*t(x) - 7*d(x).\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1091*y + 3207*y + 99*y**2 - 1032*y - 1084*y.\nAnswer: 99*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -20*t + 110. Calculate s(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Let h = 2.8 + -4.8. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n = 2*k + 3672, 0 = 4*n - 2*k - 4898. List the prime factors of n.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5800.605 days?\nAnswer: 501172272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*b - 134*b = -322. Calculate the greatest common factor of 10 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let o(d) = 7*d**2 + 6*d + 9. Let a(v) = 3*v**2 + 3*v + 4. Let z(u) = 9*a(u) - 4*o(u). Give 3*g(y) + z(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 2\/15, -23076, -3\/8, 565 in descending order.\nAnswer: 565, 4, 2, 2\/15, -3\/8, -23076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o - 2*o - 1 + 6*o. What is r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 12) in base 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10624790 to the nearest 100000.\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 + 21*i + 7. Let s be j(-3). Suppose 4*w - 19 = 13. What is the derivative of s*q**3 - 7*q**3 - w + 3 + 4*q**3 wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 21*c**2 + 27*c - 85. Suppose -4*x + 91 = 3. Let a be j(x). Solve -5*q + a = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131123971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 81685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125360*y + 125314*y = 2070 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117634 is divided by 9791?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.96 - -64. Let v = -7 - -4. Let s be v\/4 + 4\/(-16). What is the closest to s in -0.5, q, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -39486571.\nAnswer: -39486567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3 - 5*r**2 + 3*r + 3*r**2 - 2*r**2. Let x(n) = -5*n**2 + 4*n - 4. Let z = -9 + 5. What is z*c(o) + 3*x(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 83 = -487. What are the prime factors of h?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + (-4 + -2 - -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20351*f = -20293*f - 1682 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {r: 9, e: 1, s: 4}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 4*d + 3*i + 16, 4*i = -5*d - 145. Let f(j) = -j + 139. Is 41 a factor of f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59334711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4\/5 - 2872*h**3\/5 - 4*h**2\/5 + 2872*h\/5 = 0.\nAnswer: -1, 0, 1, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1645*a + 45787 - 188293 = -3633*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/108 and (-308)\/(-3168)*(-2)\/9*-14.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (9 - 9 - (2 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -169 + 41*z**2 - 12*z + 10*z + 171 as s*z + p + l*z**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 o when four letters picked without replacement from {d: 2, o: 4, z: 2, r: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 705130630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 4, 14, 49, -3, -21 in descending order.\nAnswer: 49, 14, 9, 4, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9534 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169105143.\nAnswer: 3, 3121, 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 6*b + 16. Let a be s(-8). Solve n - 1 = -a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23213850 and -0.2.\nAnswer: -4642770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -306, -317, -342, -387, -458, -561, -702, -887?\n\"Answer: -x**3 - x**2 - x - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-212160)\/425)\/(-104))\/((-2)\/(-15)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5940 and 1755.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(768) + -2.\nAnswer: -2 + sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*w + 1, 4*w + 12 = 4*k + 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -95*x - 574. Let p be c(-6). Suppose 0 = -4*a - 15 - 17. Let g = a + 5. Sort 2, p, g in ascending order.\nAnswer: p, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17233 + 172451\/10. Calculate the common denominator of 41\/2040 and p.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -840 + 844. Let r(c) = -5*c**2 + 20*c + 3. Let h be r(u). Solve h*i + 5*b = -0*b + 18, -i + 5*b = 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 15 + 29. Let n(q) = q**2 + 2*q. Determine n(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2\/17, 5, 2\/15, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-12)*4\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 415?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**6\/10 - 37*u**2\/2 + 33*u - 12. Let v(o) be the first derivative of h(o). Find the first derivative of v(z) wrt z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307401?\nAnswer: 3, 17, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*q*q*q*q**(-12)*q*(q\/(q**(-2\/15)\/q))\/(q\/(q\/q**(-2\/33))))**(27\/4) assuming q is positive.\nAnswer: q**(-2403\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**2\/7 - 226080*t\/7 + 2129673600\/7 = 0.\nAnswer: 18840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = g, 4*g - 2*l = 25 + 9. Suppose 0 = -2*n + g*n - 1620. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 360 = -8*g. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3430 (b) -3\/4 (c) -2\/6873 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -8.6?\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from zjjjojsjj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 1405*w**2 - 6870*w + 8280.\nAnswer: -5*(w - 1)*(w + 6)*(w + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -1519 + 335. What is the remainder when 294 is divided by j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 265*r**4\/24 + 1823*r**3 + 821*r**2 - 2*r. Differentiate m(i) with respect to i.\nAnswer: 265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4)*(23*u + 356 - 356 - u**2) as z*u**2 + f + p*u and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6*w - 9 = 4*r, -r + 3*w - 9 = 0. Solve 3*z - 2*o - 5 = r, z - o = -3*o + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222240 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: Which is the closest to -1\/2? (a) 2 (b) 20 (c) 5 (d) -1\/4 (e) -86.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52288633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 2*1*(-90)\/(-60). Let y(j) = -20*j**3 - j**2. Determine y(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*t - 15 = 0, -f + 7*t - 2*t + 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, -399, -828?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = f - 54 + 5, -f + 1 = 0. Suppose -4*b + 11 = 3. Let z be b + 6 - i\/8. Solve -z + 0 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2217, -27931, -97719, -233619, -457669, -791907?\nAnswer: -1258371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-56) - (8 - (-434)\/(-49))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**12)**10 assuming h is positive.\nAnswer: h**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 = -304*u - 1993 - 2192 - 877 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454812.\nAnswer: 2, 3, 151, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:39 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18485*f + 36797*f = 18469*f - 16642 for f.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*a - 49. Let t = 28 - a. Calculate the remainder when 142\/(-3)*(-6)\/4 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -977 divided by 1?\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3140*c**2 + 0 - 3138*c**2 + 2*c + 8 to the form q*c**2 + y*c + s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/((-2)\/6). Let a be (3 - 3)*(0 + k). Let l(b) = -b + 3. What are the prime factors of l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 32 = -100. Let k = z - -69. What is the first derivative of 3*y**3 - 3*y**k - 1762*y**4 + 1740*y**4 + 12 wrt y?\nAnswer: -88*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32147\/8 + 4071. Put -4, -2\/3, g in decreasing order.\nAnswer: g, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -367.140235264059?\nAnswer: -363.140235264059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q + 1236 = -39*q. Let b = -150 + q. List the prime factors of b.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16681213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-24) + (-39)\/(-18). Let n(z) be the second derivative of 0 - z + 1\/6*z**4 + 1\/2*z**w + 1\/3*z**3. Determine n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g - 3. Calculate q(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3835, -4966, -6061, -7120, -8143, -9130, -10081?\n\"Answer: 18*l**2 - 1185*l - 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*f**2 + 50564*f + 51*f**2 - 50556*f to n*f + w*f**2 + q and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {m: 11, q: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {p: 1, j: 2, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*q - 4, 0 = -4*x + 4*q - 3*q - 8. Let l be (-3 + (-1)\/x)*-2. Solve 0*v - v = -3*k - 4, 5*v - l*k = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876525.\nAnswer: 3, 5, 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17669 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7367*d - 2263*d - 1664*d to p + c*d and give c.\nAnswer: 3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/5, 190.\nAnswer: -8, 2\/5, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.14 + 0.14. Which is the nearest to -2\/5? (a) 0 (b) 4\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39a09 (base 13) to base 3\nAnswer: 12102222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + (61 - 50) + 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 1, t: 3, k: 2}. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.708163 years in millennia?\nAnswer: 0.000708163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8588 is divided by 2824.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1662 - -2817. Suppose 8*r - l = 21. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h*h**(2\/17)*h))\/h)\/(((h*h\/(h\/(h**(-1\/28)\/h)))\/h)\/h))**(19\/4) assuming h is positive.\nAnswer: h**(8303\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2 - 2*x + 5*x)*(2 + 65 - 94).\nAnswer: -54*x + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + (22 - 19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 - 10.4. Let h = o + 7. Let k be (-15)\/22 - 1\/(-2). Sort -6\/7, h, k in decreasing order.\nAnswer: k, -6\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2637 and 2637.\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -107. Suppose -4*l = -6*l - 3*g + 7510, t*l = 2*g + 11291. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10103 (base 4) to base 6.\nAnswer: -1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, -4\/11, 3\/4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3126035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g - 5. Let u be b(4). Let y = u + -1. Suppose y*w - w - 30 = 5*p, -3*p + 5 = 4*w. Are p and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - t = -4*b - 1099, 0 = -5*b - 5*t - 1865. Let q = b - -812. Suppose -3*n + q = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 4*n - 2. Let m(w) = -w**2 + w + 1. Let k(q) = -2*m(q) + r(q). Let l = -8 + 14. Calculate the remainder when l is divided by k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/1798 and -1\/2926654?\nAnswer: 2631061946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6*k = -79503, -5*k - 14005 = -f + 1939. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3361 = -5*x + 2*j, -j + 674 = 7*x - 8*x. Let v = -471 - x. Calculate the remainder when v is divided by 56.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236190052*j**3 - 33286*j**2 + 39*j wrt j?\nAnswer: 1417140312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 218433.5 years in millennia?\nAnswer: 218.4335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.59 - -0.59. Let x = j - -3. Let t = -23.89 - x. Round t to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 - 21140*s**2 - 2699088*s + 8287632 = 0?\nAnswer: -5154, -134, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooeoooeooooe. What is prob of sequence oeee?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.8. Let m = 0.8 - s. Which is the third biggest value? (a) m (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.62 - -3.566. Let m = 4 + s. Let w = m - -0.05446. What is w rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. Suppose 4*x - 2 + 4 = -2*g, -3*g + 15 = 0. What is the remainder when (t\/(-4))\/(x\/(-60)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - 11) + -24 + (-34 - -35)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/42 and -157\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 19)*(0 - 1). Let x = -186 + 190. What is the common denominator of -59\/9 and (x - -55)\/(g\/(1*-1))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.949 + -0.151. Let w = -5 - v. Let c = 11 - w. Which is smaller: 0.08 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121 - 50 - 14) + -40.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6481165489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 4, h: 1, g: 3, o: 5, l: 5}. Give prob of sequence gmmh.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 7308390?\nAnswer: -7308385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(-48 + (116 - 67)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6180322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5063 = 701. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 2:40 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 2. Let f(n) = n**3 + 15*n**2 + n + 13. Suppose 2*j = 6, -3*j - 4 - 2 = r. Let b be f(r). Give z(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*u - 55, -3*u + 0*u = -q + 37. Let a = 34 + -18. Let k = q - a. Solve 5*h - 2*h = k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1789*p**3 - 2*p**2 - 153*p + 8 wrt p?\nAnswer: 10734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/35 - (4248\/(-63))\/8 - 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + (176\/2)\/8. Let i(f) be the first derivative of -28\/5*f**5 + 20\/3*f**3 + 18*f**2 - 9*f**4 + 8*f - v. Determine c so that i(c) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3878615 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - 195\/(15 + 0) - (-8)\/2. Let y(j) = 46*j - 4. Determine y(b).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*l - 89*l - 104*l - 6*l)*(-17*l**2 + 146*l + 0*l**2 + 15*l**2) to x*l**3 + z*l + i + w*l**2 and give x.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1*sqrt(65) + sqrt(65)))\/sqrt(80) - ((sqrt(52) - sqrt(1300)) + 3*sqrt(117))**2)*-5.\nAnswer: 10*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(4\/(-14))\/(-2).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + 3*x**2 - 287 - 2*x + 287 to t*x**2 + b*x + f + m*x**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 3*u**2 + 3*u**3 - 407 - 386 + 790. Let b(w) = -w**3 - w**2 - w + 1. Suppose -n + 4 = 5. Calculate n*o(p) - 2*b(p).\nAnswer: -p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2932*j. Let r(a) = -47584*a**2. Determine z(r(n)).\nAnswer: 139516288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132828335*i**4 + 131221761 with respect to i.\nAnswer: -531313340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -65*6*(-12)\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 5 - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 15*w + 220000. Round w to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270548544.\nAnswer: 2, 3, 7, 47, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 22 + -6 + (-14 + 10 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -819 - -828. Find the first derivative of 22*p**2 + 49*p - 41 - 2*p**4 - 13*p**2 - k*p**2 - 181*p wrt p.\nAnswer: -8*p**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/685 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-17)\/15 + 18\/60)\/((-4)\/24). Determine j, given that -3\/2 + 3\/2*j - 3*j**3 + 3\/2*j**y + 3*j**2 - 3\/2*j**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7181)\/(-1302) - (-1)\/((-6)\/(-12)). Let f be (56\/(-558))\/((-12)\/9 + 1). Let k = b - f. Find the common denominator of 115\/18 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 1513*q - 74929. Give t(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -2, -4, 4, 139 in descending order.\nAnswer: 139, 4, -2, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -260 or -258?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + 0.9. Let c(o) = -o**3 + 5*o**2 - 4*o + 4. Suppose 0 = 3*d + 2*d - 20. Let r be c(d). What is the third biggest value in x, -0.2, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s + 7. Give n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 15)*(-1 + 5 - 1)*(-26 - 15*n + 26).\nAnswer: 675*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.3169 and 5?\nAnswer: 3.3169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895 + 5*n**3 + 6335*n - 2460*n + 2393*n**2 - 3378*n**2 = 0.\nAnswer: 1, 3, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3022*s**2 + 6042*s**2 - 2990*s**2.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 4580982?\nAnswer: 22904910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 2*i**3 + 5*i + (-4*i**2 + i**2 + 5*i**2)*(i - i + 2*i))*(-3*i**2 + 3*i**2 - i**2)*(14 - 12 + 23).\nAnswer: -50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + 125. Let j = 312 - c. Does 29 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(22\/3)\/(h\/h**5*h**6*h)*((h*h**1)\/h*(h**(-4)\/h)\/h)\/(h**(-2\/3))**(-2) assuming h is positive.\nAnswer: h**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 50*s + 139. Let a be k(-46). Let w = a + 3336. What is the remainder when w is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/5 + 19*s\/5 + 42\/5 = 0. Calculate s.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2040 - 3430003?\nAnswer: -3422413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, r: 4, w: 4, n: 6}. Give prob of sequence pw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 11) + (19 - 19) + 0 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204161068765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 301927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24335136 to the nearest integer?\nAnswer: 4933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 35\/(-25))*-15. Let z = 122 - j. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20 + 47*g**3 - 32*g**3 - 16*g**3 - 224*g + 30*g**2. Let z be r(15). Let y(u) = u**3 + 4*u**2 - 3*u + 9. Give y(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.67 + -0.57. Is 0.09 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1477, 1\/3, -0.3, 0, -7, 2\/7 in ascending order.\nAnswer: -7, -0.3, 0, 2\/7, 1\/3, 1477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2644, -2647, -2650?\nAnswer: -2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -18. Let f(v) be the third derivative of -v**5\/60 - 5*v**4\/12 - 3*v**3\/2 + 10*v**2. List the prime factors of f(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 24 = 62. Let g = j - -17. Does 30 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5593 and 7990.\nAnswer: 55930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5800 - -5584. Which is smaller: -59 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.475782 centimeters?\nAnswer: 0.00005475782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10371 + -5731. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 2*p - 1. Let l be w(-1). Suppose -7 - l = -5*k. Suppose -3 = -k*m + 9. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 1. Let w be u(-1). Suppose 1 = p + 2, p - 9 = -w*n. Suppose 0 = 2*s + h - 39, 3*h - 4*h = -n*s + 108. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 102 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -3)\/((-3)\/(-15)). Solve m*l - 2*p = -4*p - 27, p = l + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -36. Calculate the remainder when 63 is divided by (4\/3 + -2)*c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/15, -2\/57, 7717?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -360172, -720344, -1080516?\n\"Answer: -360172*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 4*u - 8 = -12*s, -3 = -3*u. Solve -x = s*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r - 1. Let q be (-772)\/(-14) + (-8)\/56. Let i = 64 - q. Calculate the remainder when i is divided by y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2 - 4*b - 2. Let y(m) = -m**2 - m. Suppose 3*f + r + 890 = 0, -f - 5*r - 139 - 153 = 0. Let d be f\/(-55) - 2\/5. Calculate d*y(i) - j(i).\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.356. Let l = m + 0.156. Which is the closest to -6? (a) l (b) 1\/6 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49257, 98522, 147787, 197052, 246317, 295582?\n\"Answer: 49265*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2780 and 1.2621?\nAnswer: 2778.7379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let g be 2*1*((-62)\/4 + -4). Let v = g - -39. Sort b, -4, v in descending order.\nAnswer: b, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -2001214?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by -22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1316, 0.01, -6743, -2, 3?\nAnswer: -1316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(5\/8)\/o)\/o)*o*o**(-5\/6))**(-3\/19))**48 assuming o is positive.\nAnswer: o**(-366\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3 - 7 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/16 - (-5)\/(-20). Let f = -7 + 8. Put f, p, 0 in ascending order.\nAnswer: p, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 4, 2473, -24 in descending order.\nAnswer: 2473, 4, -24, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 53 = 51. Let f be 21*(0 + (-1)\/(-3)). Solve -d = 4*z + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + 2*b)*(2*b**2 + b**2 + 2*b**2)*(-3 + 5 + 6) + (0*b + 0*b + 2*b**2)*(2*b + b - 2*b).\nAnswer: -78*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.06, -2\/7 in ascending order.\nAnswer: -2\/7, 0.06, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 43*q**4\/12 + q**3 - q**2 + 13*q. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 + 2684*g**4 - 466996*g**3 + 5507588*g**2 + 19832120*g + 13854848 = 0.\nAnswer: -2, -1, 16, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 4*h**2 + 2*h - 6. Let u be c(-6). What is the units digit of 3\/3 + u\/(-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18368, 32708, 47048, 61388?\nAnswer: 75728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -0.501.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 4. Let x(r) = -r - 2. Let u(d) = p(d) - 2*x(d). Let b(q) = -43*q**2. What is b(u(h))?\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 4*c + 85. Calculate f(0).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29641506749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + y - 2*y)*(0 + 2*y + 0 - y + y - 3*y + (3 + 0 - 5)*(2*y - 6*y + 2*y) + (6*y - 2*y - 2*y)*(-5 - 3 + 5)) in the form s*y**2 + b + m*y and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 57. Which is the second biggest value? (a) l (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -549*p + 529*p + 24 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*k - 3587 = -341*k + 10796 + 15603 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 175*j**4 + 8634*j**3 - 104672*j**2 - 86528*j + 5332992.\nAnswer: -(j - 16)**3*(j + 6)*(j + 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 7, n: 5}. What is prob of sequence nn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 12*h. Suppose t = -4 + 2, 5*y + 4*t - 12 = h. Suppose y*b - 20 = -0*b. Calculate the highest common divisor of 10 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z - 2*z)*(2*z**3 - 3*z**2 + 3*z**2) + (-4*z**3 + 4*z**3 + z**3)*(-4*z**2 + 2*z**2 + 0*z**2).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 2. Let l be k(-2). Suppose -u + 0*u + l = 0. Let t be 1\/3*24\/(-2 + 4). Solve u*n = t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:25 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -16 - (-11 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54484.06 * 2\nAnswer: 108968.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 28. Suppose y*v - 36 = -d, -6*d = -3*d - 5*v - 40. What is the remainder when 5 is divided by (-5)\/d + (-2 - (-17)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121280937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 70 = -17*q. Suppose q*w - 529 - 286 = 0. List the prime factors of w.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(2736) + 5)**2.\nAnswer: -720*sqrt(19) + 98521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303437589*x**2 + 2*x**3 + 303437589*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h - 2. Let f be a(-2). Let p(c) = -c**3 + 7*c**2 + 10*c - 7. Let x be p(f). Solve -d - x = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v**3 + 35*v**3 - 7*v**3 - 23*v**3 + 3*v**4 - 41*v to the form l*v**2 + w*v + n*v**3 + t*v**4 + f and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from crvbrfhrbbbhhrbccr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2529, -4341, -6191, -8079, -10005, -11969?\n\"Answer: -19*y**2 - 1755*y - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f. Let x = 5698.3 + -5698. Put -0.3, -0.05, x, f in ascending order.\nAnswer: -0.3, -0.05, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 5:44 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319494.\nAnswer: 2, 3, 7, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*d - 8 = 0, -l - d + 5 = 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 5:08 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*a - 22 = 2*l, 5*l - 100 = -a. What is the remainder when 102 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -225 + 239. Calculate the least common multiple of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -55012, 1, -4 in descending order.\nAnswer: 4, 1, -4, -55012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14900\/(-800) - ((-20)\/25 - (-7)\/40)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 0)*(3*l + l - 3*l) + 1218*l + 367*l + 1207*l)*(l - 2*l - 3*l) to the form m*l**2 + g + k*l and give m.\nAnswer: -11164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-401)\/401*3\/3*-68?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 13. Suppose 0*t - 28 = -4*t. Let p be b(t). Is (68\/p)\/(6\/99) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8618*p + 104. Let o(u) = 104. What is o(j) - x(j)?\nAnswer: 8618*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 2, 10.\nAnswer: 2, 10, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89 + 71 - 110 - 124 - 13)*(-2*u**3 + 0*u**3 - u**3) to x*u**2 + t*u**3 + p*u + q and give t.\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = -4*q + 3*q, 4*q - 12 = -3*l. Which is smaller: l or 4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131 or 918\/7?\nAnswer: 918\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) 4 (b) 1 (c) -10\/9 (d) 236\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*k - 21*k - 49*k - 43*k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1405*n**3 - 701*n**3 - 661*n**3.\nAnswer: 43*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24652.24 milligrams in tonnes?\nAnswer: 0.00002465224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -38*c**2 - 3*c - 3. Let k(h) = 39*h**2 + 2*h + 2. Determine -2*i(n) - 3*k(n).\nAnswer: -41*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 133*p)*(4*p - 4*p - 4*p**2).\nAnswer: -532*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.0275568 rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -898724\nAnswer: -2696172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j = 423 - 44 - 8 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 281750 = 26*n + 74*n. Calculate the highest common divisor of n and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 714, 1593, 2824, 4407, 6342?\nAnswer: 8629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let q(m) = -m - 1. Give -5*o(l) + 6*q(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhmmnn. What is prob of sequence nmnh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866\/16 + (-1)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/5))**(-9\/5))**(30\/11) assuming g is positive.\nAnswer: g**(-216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156335*q**4 - 514*q - 63 wrt q.\nAnswer: -1876020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyzzyyyyyy. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 19892 = -31704. Let a = -2999 - x. What is a rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 22 = -10*v - 54. Put 11, v, -2, 8, 3 in descending order.\nAnswer: 11, 8, 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -584\/7 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22086202 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/27, 5, -0.142, 46, 8\/23 in ascending order.\nAnswer: -0.142, 5\/27, 8\/23, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 8*u. List the prime factors of h(-11).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.219595 to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -9. Suppose 2*h = -3*h - 90. Let x = 29 + h. Let a(r) = r**3 + 21*r - 11. Let q(u) = 4*u - 2. Calculate v*a(z) + x*q(z).\nAnswer: -2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**4\/24 - v**3\/3 - v**2. Let j be a(2). Let n be 350001 - (j - (-3 + 2)). Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 31*n**2 - 2*n**3 - 31*n**2)*(-n**2 + 6*n**2 - n**2 + (1 - 1 - 2)*(2*n**2 - 3 + 3) - n**2 + 0 + 0 + 4*n - 4*n - n**2).\nAnswer: 4*n**5 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3\/2 + 195*x**2\/2 + 99*x = 0.\nAnswer: -1, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 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: Let k(b) be the third derivative of -b**5\/30 + b**4\/4 - b**3 - 36*b**2. Let g be k(2). Let q be 0\/(-3) + (4 - (0 - g)). Sort 13, 3, q.\nAnswer: q, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*w - 12 = 120*w, 2*w = s + 10. Let j = -6 + 3. Let p = 2.5 + j. Which is the second biggest value? (a) s (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 880213 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -199539107, -199539103, -199539095, -199539083, -199539067, -199539047?\n\"Answer: 2*q**2 - 2*q - 199539107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/3)*j**7)**(6\/7)*j*j**(-3\/7)*(j**(4\/7)*j)\/j*(j**0)**(-13) assuming j is positive.\nAnswer: j**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 16*n**2 + 34*n - 24. Let o be d(-18). Solve 6*k - 3*k + 8 = -2*x, -4*k = 4*x + o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 2*q**2 - 2*q + 6. Let a be u(-3). Suppose a*g = -4*l - 0*g + 207, 0 = -2*l + g + 91. Calculate the smallest common multiple of l and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 5*v - 1. Let i be o(4). Suppose 2 = -4*w - z - 7, i*w = -2*z - 8. Let f be 0*1\/w + 14 + -2. What is the highest common factor of f and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1513 + 1495 - (5 + 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1394439 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60391 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0 - -1) - (2 - (-4 - -10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (213 - 138)\/(1 + 2). Let n(x) = 4*x - 101. Give n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162.5 - 163. Which is the second smallest value? (a) 12 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -6, -10, -14?\n\"Answer: -4*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4316*r**3 - 7764*r - 7769*r - 4317*r**3 - 7763*r - 7764*r + 31060*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 61*n + 47 - 79*n + 2*n**3 - 53*n**2. What is the tens digit of o(54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6832, 6842, 6852, 6862?\n\"Answer: 10*v + 6822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:13 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34953*x - 38214 wrt x?\nAnswer: -34953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + (-1 - -3) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w - 11. Suppose -w - 25 = a. Let f = 42 + a. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + 1.7. Suppose 0 = -4*n + 4, -5*q + 0*n + n + 9 = 0. Suppose -s + 7 = -q. Put -0.4, l, s in descending order.\nAnswer: s, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 7 + 3. Let o be (96\/(-40))\/3*(1 - 26). Suppose f = -w + o. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271*j**5 - 309*j?\nAnswer: -5420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 7*d**2 - 64*d - 302. What is the hundreds digit of b(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187344 is divided by 231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1, y + 1481 = -5*i + 9*i. Suppose x = 5*l + 368, i = -x + 2*x - 3*l. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 29 - 31 - 81*b - 9.\nAnswer: -81*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 5:06 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102*w*z**2 + 62*w*z - 68*w - z**2 - 13*z + 133204 wrt z?\nAnswer: -204*w*z + 62*w - 2*z - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + 1. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(1 + 3 - 6)*(129*g + 7*g + 8*g)*(2*g**3 + 2*g**2 - 2*g**2).\nAnswer: -576*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713590 is divided by 264.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 + -117. Suppose 4*m + 302 = 2*o - 70, 972 = 5*o + c*m. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(8\/7)*w**(-4\/3)*w*w*(w**(-2\/5))**(-48) assuming w is positive.\nAnswer: w**(2071\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56273, 111279, 165019, 217499, 268725, 318703, 367439, 414939?\nAnswer: 461209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6746 is divided by 3263.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*c**4 - 187*c**4 + 86*c**4 + 2*c**4 + 3*c - 3*c + (2*c**3 + c**3 - 2*c**3)*(-5*c + 3*c + 4*c) as k*c**4 + f + s*c + b*c**2 + a*c**3 and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4115 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 891983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 21 - 4 = 0. Let a = l - 1. Is (-15)\/a*8\/2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-5))\/(8057\/(-805) + 10). Let j be (-22)\/88 - s\/4. Let m(x) = -5*x - 2 + 2 + 6. Let u(a) = 10*a - 13. Give j*u(i) - 13*m(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 367\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, v: 1, b: 5}. Give prob of picking 3 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -16\/5, 2\/11, 1, 0.2, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.41096*-2\nAnswer: -0.82192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(99))\/(sqrt(9)*-1*-4).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*x + 158*z = 552*x + 1410, 0 = x + 5*z - 42 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + -20 + (-209 - -246)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Simplify (p**(2\/45))**(-7\/3) assuming p is positive.\nAnswer: p**(-14\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 4 - -4 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -37 - -4*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000 - -100?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2574610576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d - 13. Give b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p**3 - 1\/600*p**6 + 0 + 30*p**2 + 0*p - 1\/75*p**5 + 1\/24*p**4. Let b(q) = 0. What is q?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434069 is divided by 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + -67497370.\nAnswer: -67497370.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - 3.93. Let x = 3.999954 + f. What is x rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12780 and -91\/1554190?\nAnswer: 27975420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 + 19*y**3 - 15*y**3 + 0 + 2*y**3 + 0 + (1 - 4 + 2)*(-y**3 + y - y) to the form v*y**2 + z*y + o*y**3 + x and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308397, 616796, 925195, 1233594?\nAnswer: 1541993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-9))\/(27\/78)*(-21)\/(-4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*i - 897, -4*i = 3*w - 6*i - 2659. Suppose w = 3*t + 4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*x + 110 = 0, -17 = -g - x - 3*x. Let i = 119 - g. Calculate the common denominator of ((-302)\/i)\/(16\/24) and 5\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.021 take away 4?\nAnswer: -28.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-24)*-1)\/((-6)\/4). Which is the second biggest value? (a) 4 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-520)\/140 + (-4)\/(-42)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*z + 4 + 254*z + 6*z**2 - 507*z - 4*z**2.\nAnswer: 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298084 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 38 - 4)*(-4*p**4 + 3*p**4 - p**4) - 3*p**4 + 0*p**4 + 5*p**4.\nAnswer: 46*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -69*f + 740 - 1910 - 1422 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-4 - (-2)\/(2\/49)). Is m at most -381\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3941 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -18.0523839\nAnswer: -54.1571517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m. Let g(q) = 1. Suppose 4 = -2*s - 0. Let x(r) = -r - 1. Let o(v) = s*g(v) - 2*x(v). Determine o(t(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.968821 and -3160.\nAnswer: -3160.968821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.2. Let p = -3 - -3.3. Let a = p + -0.8. Put a, -0.01, k in decreasing order.\nAnswer: k, -0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 - 279*l - 115. Calculate r(-69).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141805, 283589, 425301, 566905, 708365, 849645, 990709?\nAnswer: 1131521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 2, t: 1, z: 2, s: 1, h: 1, m: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*i**4 + 14*i**3 - 16*i**2 - 10196 wrt i?\nAnswer: 64*i**3 + 42*i**2 - 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - j**2 - 3 + 4*j**2)*(3*j**2 + 6*j**2 + 9*j**2).\nAnswer: 36*j**4 - 54*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3045576 + -2045303. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59.9 + -60. Is u at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3 = -5*q, 5 - 11 = -q + 2*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s**3 + 6*s**2 + 5*s - 31. Let o(y) = -14*y**3 - 3*y**2 - 3*y + 16. What is 5*o(l) + 3*r(l)?\nAnswer: 8*l**3 + 3*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1374*p + 1302*p + 3024 = 0 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/13))\/(r\/r**(-3\/5)))\/((r*r*r**(1\/2))\/r)**45 assuming r is positive.\nAnswer: r**(-8873\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 4. Let f be g(2). Suppose -5*z + 54 + 11 = f. Suppose -272 = -5*p + 118. What is the highest common factor of p and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-20)*1*-54. Suppose 2*a = 3*r + 253, -3*a + 258 = 2*r - 5*r. Are i and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95957340 + 162173610. Let x = 66216276.00000112 - d. Let g = 6 - x. Round g to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/28 - ((-14972946)\/(-21) - -2). Round x to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 40*q - 40 + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:42 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28757, -115448, -259925, -462182, -722213, -1040012?\nAnswer: -1415573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b. Let r(a) be the second derivative of -20*a**4\/3 - 9*a + 2. Give r(c(h)).\nAnswer: -5120*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 115012666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 3:30 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6425 and 875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/7))**(-2\/23)*(b**(1\/2)\/b)\/(b\/b**0))**(3\/4) assuming b is positive.\nAnswer: b**(-1557\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(325)*-1 - sqrt(325))*5)**2.\nAnswer: 292500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o*x**3 - 9*o - 39*x**2 + 64*x wrt x.\nAnswer: -24*o*x - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2570, 20512, 69212, 164048, 320398, 553640?\n\"Answer: 2563*y**3 + y**2 - 2*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0350394 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135618 divided by -45206.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o - 19. Suppose -3*z + 5*i - 12 = 36, 4*z - 5*i + 54 = 0. Let m(q) = -7*q - 18. Give z*m(p) + 5*c(p).\nAnswer: 2*p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 15*y - 14*y - 22*y - 14*y + 68*y + 1774.\nAnswer: 2*y + 1774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3 - 2*s**2 - 2*s. Let h(l) = -5*l + 4. Let r(y) = -7*h(y) - 6*m(y). Let c(w) = w + 3. Calculate 7*c(k) + 5*r(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/24 and -45\/1977536.\nAnswer: 5932608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 545, 1058, 1807, 2870?\nAnswer: 4325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by -632888\nAnswer: -97\/632888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.3, 3, -9515, 0.13, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1 - ((-2 - 5) + -328). Let t = b - 332. Let q = 4 - -4. Calculate the smallest common multiple of t and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 61. Let i = u + -16. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55.2 - -14.8. Let s = b - 76. Let f = -9 + 14. Sort 1\/2, s, f in descending order.\nAnswer: f, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + -50171671\nAnswer: -50171671.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 12. Suppose 0 = b - q - 5. Suppose -11 - 34 = -3*t. Solve b*r - t = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*h + 3766 = -140*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/6 + z**2 - 55*z - 14. Calculate n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -0*i, -3*i - 19 = -2*r. Suppose 29 = -r*o + 4, 0 = -4*h + 4*o + 36. Solve 2 = -h*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -132.15568 and 0.06.\nAnswer: -132.09568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**6))\/(a\/((a**(-4)*a)\/a))*((a*a**(-2\/19))\/a)\/(a*a**(1\/8)\/a) assuming a is positive.\nAnswer: a**(-1707\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c + 8 = 0. Suppose 0 = 5*t + c*x + 35, -3*t + x = -0*t + 10. Let r(y) = 0 + 2*y - 6 + 4 - 3*y. Let w(o) = -1. Give t*w(h) + 2*r(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(1\/21))*f*f**(-10)*f\/(f*f**(6\/13))*f**(-4\/5) assuming f is positive.\nAnswer: f**(-14072\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Let v(w) = 54*w**2 + 90*w - 90. What is -90*c(d) - v(d)?\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -494 + 496.01. Round m to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 398.2 - 398. Let r be (-2)\/6 + 10\/(-6). What is the closest to r in -3\/2, 4\/9, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*22*3*261\/522.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1298 and 6708.\nAnswer: 4353492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxyy when four letters picked without replacement from yyyyxyyyx?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l - 10*l + 6*l - 2*l**3 + 3*l**3 to the form n + k*l**3 + q*l**2 + r*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.5 times 0.042?\nAnswer: -9.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 d when three letters picked without replacement from ffdcccddcfca?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5576 (b) -5 (c) 0.6 (d) 179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v - 1. Let n be ((-1)\/1)\/(-1) - -2. Suppose n*g = k + 5*g - 9, -g + 10 = -5*k. Let j be l(k). Which is greater: -2\/3 or j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71338.7mg?\nAnswer: 71338700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + k. Solve 4*q - 20 = -4*m, 3*m - 7*m + 2*q + 2 = k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3654 divided by 1218?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 599448.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 470 = 562. What is the common denominator of (-2)\/(-5) + c\/20 and 27\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8 = 2*t, -m + 3*m - 20 = 5*t. Suppose m*h + 0*h**3 + 4\/5*h**2 - 2\/5*h**4 - 2\/5 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -152, -5, -18, -3 in increasing order.\nAnswer: -152, -18, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211202122221 (base 3) to base 10.\nAnswer: -1510972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4199 and 1105?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 100\/41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -283580.\nAnswer: -1417900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -751.6 + 1904.6. Is j equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**(1\/2)*w\/((w*w\/(w*(w*w\/(w\/w**1))\/w)*w)\/w)*(w**(-3)\/w)**(-26) assuming w is positive.\nAnswer: w**(213\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or -228033?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3043*o**2*s**2 - 7*o**2*s - 3*o**2 + 915*o*s**2 + 31*o*s - 15*o - s**2 - 8 wrt s?\nAnswer: -6086*o**2 + 1830*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 6 + 9. Suppose 6 = -x*h + 33. What is the second derivative of 4*m + 5*m**5 - m**5 + 9*m**3 - h*m**3 wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 11*z + 24. Give b(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/20 + m**4\/2 + 4*m**3\/3 - m**2 - 8*m. Let x be v(7). Suppose -8*l = -x*l - 60. Solve 4*q + q + l = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173361941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0 + 1\/2*w**3 + 1\/4*w**4 + 0*w**2 - 12*w. Factor f(g).\nAnswer: 3*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h - 255. Let b = h + 52. What is the greatest common factor of 10 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 6*c + 9. Let j be a(-7). Suppose -6 + 36 = 10*d. What is the greatest common factor of j and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 756484850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 3*m + 475. Let c(y) = 3*y - 2. What is c(p) - z(p)?\nAnswer: p**2 - 477","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 134588 = 101249. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.31 + 0.31. Suppose -3*s - 173*y + 169*y + 12 = 0, -5*y + 15 = -2*s. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43371078 a multiple of 1879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -806*y**2 - 506*y?\nAnswer: -1612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016961869 rounded to 5 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091972.\nAnswer: 2, 3, 174331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 195, -266, -939, -1830, -2945, -4290, -5871?\nAnswer: -7694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-3)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(12)\/sqrt(4)))\/(sqrt(8) + -2*(sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8))) - (sqrt(18)\/sqrt(2)*-3)\/(sqrt(3)*2*1).\nAnswer: 13*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 15. Suppose 0*g - 5*g + 11 = 3*n, -5*n = -4*g + 31. Let b(u) = -u - 8. Let p(l) = n*a(l) + 5*b(l). What is p(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q - 70 = -6*q + 22*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 798172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/90*(3 - -1*2). Let t(q) = 3*q + 5*q - 7*q. Let y(u) = 14*u**2 + 13*u. Let m(a) = h*t(a) + y(a). What is the second derivative of m(g) wrt g?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-18)\/(t*t**5)*t\/(t**(3\/16)*t)*t*t\/t**(-7\/2) assuming t is positive.\nAnswer: t**(-299\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 2*z**3 + z**2 - 2*z - 9. Calculate t(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c**2 - 6*c - 24. Determine r(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114411 = -3195*b - 66*b - 32886 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -461*n - 5335. Give d(-13).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 2. Let f(t) = -8*t**2 + 2. What is 3*f(d) + 4*i(d)?\nAnswer: 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-25)\/f**(-24))**(-3\/44))**(1\/5) assuming f is positive.\nAnswer: f**(3\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2270748959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x + 0 + 0*x**5 + 0*x**4 - 1\/2*x**2 + 0*x**3 - 1\/15*x**6. What is the first derivative of h(i) wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 5 = -5. Suppose -o + 3159 = 5*t + 3*o, n = -3*o - 12. Suppose 5*x = t + 170. List the prime factors of x.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -12503789?\nAnswer: -12503791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 10*m**2 + 11*m**3 + 10*m**2)*(-m + 8 - 8) to d*m**2 + a*m**4 + b*m + q + p*m**3 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:00 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 - k**3\/6 + 20*k**2. Determine d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.4 + -63.4000305. What is l rounded to 6 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 5*n**2 + 2*n - 5. Let i be r(5). Suppose 8 + 0*o + 4*o**2 + i*o + 7*o = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*h = 7, -8 + 3 = -5*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 23. Let n(o) be the second derivative of -o**3\/3 + o**2 + 19*o. Let j(p) = 4*p - 5. Determine d*j(z) - 9*n(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 8, e: 5}. Give prob of picking 2 o, 1 e, and 1 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -392784.\nAnswer: -1\/16366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.6000287 + 22.6. What is w rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v. Let l(f) be the third derivative of f**6\/360 + f**3\/6 + 6*f**2. Let z(q) be the first derivative of l(q). Give z(s(b)).\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 10:25 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**3 + 24*p**3 - 5*p**3 + 10*p**3 + 3*p**3.\nAnswer: 65*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 698933789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - -0.4. Let s = 4.7 - u. What is the nearest to -1 in 0, s, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*y**2\/2 + 1101*y\/2 - 6336.\nAnswer: 3*(y + 33)*(15*y - 128)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18097 - -2?\nAnswer: -18095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5423 + 1804. Is x a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 252 = 2*g, 5*g - 2*b - 903 = -273. Calculate the smallest common multiple of 300 and g.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/((5280\/(-48))\/55).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551, -1095, -1639, -2183, -2727, -3271?\nAnswer: -3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 673005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*t = 15, 4*k + t - 5 = k. Suppose 0*g + 3*g - 45 = k. Is 16 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250303033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(480))\/sqrt(10))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r, 2*r + 1 - 13 = -4*p. Find the second derivative of 0*z - p*z**4 + z**4 - z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 2, v: 1, c: 2, b: 1, w: 1}. What is prob of picking 1 w, 1 h, and 2 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/22 - -7\/44. What is the third biggest value in g, 10, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 31*r + 45 = 5*b, 2*b - 3 = 3*r. Solve 3*w - 2*w - 4*p + 18 = 0, -r*p + 5 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 70*b**2 - 472*b + 2545. Calculate n(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + (-2)\/(-20). Which is smaller: m or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 17. Suppose q*d - 5*d + 90 = 0. Calculate the common denominator of 99\/10 and ((-38)\/d + -2)*21.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 51*m - 54*m - 483, 0 = -5*k - m - 491. Let h be (-18)\/k + 21175010\/(-55). Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = 3*h - 17, 5*t = -5. Let i(j) = 1 - h*j - 5 + j. Let s(o) be the second derivative of 3*o**3\/2 + 7*o**2\/2 + o. Give -11*i(m) - 6*s(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 4. Let q be o(8). Suppose -q*p + 10*p = 18. Calculate the lowest common multiple of (3 + -2)\/(p\/15) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -899 - -899. Let j(o) be the third derivative of 0*o**3 + 0*o + 0 + d*o**4 - 2*o**2 - 1\/60*o**5. Let l(t) = -12*t**2. What is l(j(b))?\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-26) + (-34)\/(-221). Let g = 19 + -15. Factor -7 - 3*u**2 + i + 2*u**3 + g + 5*u**2 - 2*u.\nAnswer: 2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3621 - 588333?\nAnswer: -603054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10 - 3)*(-6 + 6 - 10*b).\nAnswer: -110*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3034793 is divided by 758690.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**4 + 3*k**3 - 11*k**2 - 3*k + 8. Let f(t) = 2*t**4 + 2*t**3 - 7*t**2 - 2*t + 5. Let h(a) = -8*f(a) + 5*v(a). Factor h(d).\nAnswer: -d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301767324.\nAnswer: 2, 11, 13, 251, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912127 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.1 + 3.9. Let t = -19.7 + v. What is t rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*q + 192 - 32. Solve 3*s + 4*r - 3 - q = 0, 0 = 5*s - 2*r - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + (-4)\/16*-4. Let w be 151\/(-6) + (-1)\/z. Let v be 1\/5*w\/30. Which is the third smallest value? (a) 1.4 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, k: 5, t: 3, z: 5, h: 2}. What is prob of picking 1 t and 1 k?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/32)\/((-14)\/8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 466 by -4.\nAnswer: -233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -11*t + 2. Let u(j) = -13*j + 5. Let a(n) = 20*n - 17 + 27*n - 12*n + n + 3. Let q(c) = 5*a(c) + 14*u(c). What is q(v(h))?\nAnswer: 22*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -p + 23, -5*f - 9 + 53 = 2*p. Suppose -43 = -15*r + p. What is the highest common divisor of r and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -855*x + 2 + 2*x**3 - x**4 + 856*x + 0*x**3 - x**2 to w*x**2 + c + b*x**4 + l*x + u*x**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 2373593.\nAnswer: 7120779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 86302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13)**(-2\/5) assuming u is positive.\nAnswer: u**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/3, -0.5, 4, -1\/4, 0.5548?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3111 divide 164043030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c + 75*c**4 - 3 - 80*c**4 + c to the form t*c**4 + z*c**3 + f*c + a*c**2 + w and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 746 - 612.26. Let n = j - 5.14. Round n to the nearest integer.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*n + 32 = 0, 2*w - n = -5*n + 24. Suppose 1 = w*p - 3. Calculate the remainder when 43 is divided by (2 - (p - -1)) + 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.64 greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 250.\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -4, -1007\/2 in descending order.\nAnswer: 1\/3, -4, -1007\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukbvx. What is prob of picking 1 u, 1 x, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 232325*g**2. Let y(m) = -m. What is y(k(v))?\nAnswer: -232325*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Suppose -2*m - 2*v = -v - 11, -5*v - 25 = c. What is the highest common divisor of m and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 4*v**2 - 2*v - 4. Let q be c(-4). Let r = -61 + 66. Sort q, r, -3 in ascending order.\nAnswer: -3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112222121120 (base 3) to base 9\nAnswer: 488546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14540329 less than 0.7?\nAnswer: 14540329.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-880)*-33)\/(1\/(-5))*-6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6333 + 6348. Put 0, t, 3, -11 in decreasing order.\nAnswer: t, 3, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s - 5*h, 9*s + h - 45 = 5*s. What is the biggest value in s, -2, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f + 0*f + f**4)*(-2*f - 3 + 3) - 2*f**5 - f**5 + 4*f**5)*(-6 - 5 + 4).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 1*(0 + 2*sqrt(2)) + -4 + 2).\nAnswer: -6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Let j be 2*((-3)\/(-1) - 2). Let h(f) = 1. Let p(k) = -k - 1. Let t be -1*(-2 - (-3 - -3)). Let b(v) = j*p(v) + t*h(v). Calculate x(b(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -o + 2 + 9, -o = -2*p + 1. Let z = 61 - o. Is z a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/240 - q**5\/40 - q**4\/24 + 39*q**2. Find s, given that l(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8 + 6)\/2)\/((-1)\/(-13)). Let i = s - -16. Solve -d + i = -2*j, -3*d - d = 4*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + 1 - 74)*(-1)\/2 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48520092.1 rounded to the nearest one thousand?\nAnswer: 48520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:04 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_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: Suppose 4*g = -3*l - 750006, -11 = 2*l - 7. Let m be (g\/(-14))\/(24\/(-37632)). Round m to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 11*s**2 - 3*s - 25. Let h be f(-11). Solve -6*l + 2 = -h*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -887\/4818 + 1\/438. Let j be (-2)\/(-1*(-6)\/(-2)). Let g = -17 + 17.2. Which is the nearest to j? (a) g (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -382 - -3442\/9. Let y = -1\/18 - j. What is the second smallest value in y, 3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + h + 3 + 10*h**2 + 0*h - h**3. Let f be r(10). Suppose -30 = -5*o - 5*n, 2*o = f*n + 40 - 18. Solve 3*y + w + 6 = -o, -w - 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1049)\/(-6) + 5\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208549 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -45, -3, -391, 43, 1 in descending order.\nAnswer: 43, 2, 1, -3, -45, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 11 = 5*p. Does 12 divide (0 - p\/5)*30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641026166.\nAnswer: 2, 11, 109, 267317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) -4 (c) -12 (d) 4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-292)\/18 - 2*(-5)\/45. Let x = j + 19. Suppose 0*m + 4 = -4*n - 4*m, 2*n - m - 7 = 0. What is the second biggest value in -5, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1742, -1 in decreasing order.\nAnswer: 0, -1, -3, -1742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -1.39.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4\/3)\/k)\/k)**30)**(-37)\/((k*k**(1\/4))**(-34\/3)\/((k\/(k*k*k*k*k**(-6)))\/k**(1\/3))) assuming k is positive.\nAnswer: k**(22301\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7000011 + 1.7. What is s rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607767 is divided by 1425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 12 + 2. Let g be (-6 - -2 - -6)*(-19)\/(-2). Let w = u + g. Solve 2*y - y = w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630620 * -4\nAnswer: -2522480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/((o**(-1\/8)*o)\/o)))*o)\/(o*o*o*o**(-1)))\/((o*o**0)\/(o**(1\/4)*o*o)) assuming o is positive.\nAnswer: o**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914384525 to the nearest integer?\nAnswer: 30239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**3 - z**2 + 4. Let g(p) = -2*p**2 - 1. Let f(c) = 4*c**3 + 9*c**2 + 1. Let q(v) = f(v) + 4*g(v). Calculate -5*i(l) - 7*q(l).\nAnswer: 2*l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(2*y + 2*y - 6*y + (y + 0*y + 0*y)*(-3 + 3 + 1) - 2*y - 4*y - 2*y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, -18.\nAnswer: -18, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2421393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 42*b**2 + 1703*b + 4428. Calculate p(68).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 3*f + 3 = 0, 3*j + 178 = 4*f + 149 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 - 3.952. Let w = -0.048 + g. Let v be 5*1\/(-7) - -1. What is the closest to v in -2, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) - (-3 + 102\/(-18)). Let y be 9\/(-27) + -1057*(-3)\/c. Does 4 divide (y\/(-110))\/((-1)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 19. Let a be h(-2). Solve 0 + 1\/2*s + s**4 - 1\/2*s**a - s**2 + 0*s**3 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -1\/2*p**2 - 7\/4*p - 1 + 1\/4*p**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7355550 by 75.\nAnswer: 98074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-160)\/(-5))\/(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 - -2 - (10 + -17))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (72 + (-20 - 44)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = -3*k, k - v - 4*v + 13 = 0. Suppose k*f - 4 = 4. Let b(p) = -p + 3. Give b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/54704 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113 + 23?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117*9\/81 + 10269?\nAnswer: 2, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:55 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 8) in base 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(20)\/(sqrt(20)\/sqrt(2))) + 3 + sqrt(18).\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*p - 33*p + 20*p + 57*p**2 - p**3 - 62*p**2 in the form t + q*p**3 + z*p**2 + f*p and give f.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -6*l - 80 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.21511 and 4143019882?\nAnswer: 4143019881.78489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 38. Let y be (j + (-2 - 4))*(-4)\/6. Solve 6*m + 37*m**2 - 36*m**y - 2 - 3*m - 2*m = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 - m. Let q(t) = -5*t**3 - 13*t**2 - 6*t - 12. Let a(j) = -4*d(j) + q(j). Determine a(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41452086 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -58, 3, -3, -78, 62 in descending order.\nAnswer: 62, 3, 2, -3, -4, -58, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3 - 3 + d**3 + d + 54*d**2 + 4 - 48*d**2. Let u(m) = -m**2 - 9*m - 1. Let w be u(-9). Let j = -7 - w. What is f(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1756680367 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2 - 0) + 0. Let k = u + 3. Let z(d) = 10*d**2 + 7*d - 3. Let b(m) = 3*m**2 + 2*m - 1. Let p(a) = 7*b(a) - 2*z(a). Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (6 + (-1 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43974?\nAnswer: 2, 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9938277.\nAnswer: 3, 23, 41, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1410680.48\nAnswer: 282136.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 180\/6 - (3 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 322?\nAnswer: 1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((((-5)\/(-5))\/(-20 - -19))\/(-3)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = 0, -4*a + 23 = 4*g - 0*g + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 39*r - 11. What is the units digit of z(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -64, -119, -206, -331?\n\"Answer: -b**3 - 7*b**2 - b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -26. Solve g*b + 4*v + 16 = 0, -v - 8 = 6*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*t - 8 = 0, -2*h + 3*t = -2*t - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 4, k: 1, o: 3, x: 8}. Give prob of sequence mk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1111010101?\nAnswer: 1111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 not equal to 206985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102300 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbtfeejbtjefbetj. Give prob of sequence eteb.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*y = -107*y - 676. Solve 0 = -y*h + 3*h - 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-81)\/(-18)*(-4)\/(-6). Let f be 1\/1 + (-5)\/3. Which is the nearest to 0? (a) 5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) 2571 (c) -4\/7 (d) -0.1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28314 times -3?\nAnswer: 0.84942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9014*b**3*z**3 - 19*b**3 - 405018*b**2 + 2*b*z**2 - 2055*z**3 wrt z?\nAnswer: 54084*b**3 - 12330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2 + (-2 + 1 + 0)*(1 + 4 - 4))*(-6*l**5 + 4*l**5 - l**5).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d + d**2 + 13 + d**3 - 9 - 2*d + 0*d**2. Let n be v(0). Let c be (-1)\/2 + 27\/(-6). Sort 5, c, 1, n.\nAnswer: c, 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 10*i + 40 = 0. Let h(p) = 0*p - 2834 - i*p**2 - p + 2836 + p**3. Determine h(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and 2?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58071672 and 14.\nAnswer: 406501704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -3*sqrt(102)*-1) + -1*sqrt(102)*2)\/((sqrt(504)\/(sqrt(12)*-2))\/(-2*sqrt(847))).\nAnswer: -176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from trrttttr?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -140 (b) -2 (c) 1\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 - 510 + 256 - 77*t**2 - 81*t.\nAnswer: -77*t**2 - 81*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a7 - -544?\nAnswer: 70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + -3 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602816623.\nAnswer: 229, 2632387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c**2 - 21 + 21 - 130*c**2.\nAnswer: -106*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/8 in 1\/2, 0.1, -0.469?\nAnswer: -0.469","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -10339719.8033929?\nAnswer: 10339714.8033929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0 + 27*g - 1 to h*g + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -185, -0.4, -2\/15?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-312))\/(108\/(-144)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 2*x + 2*x + 1 + 3. Let s be l(7). Calculate the highest common divisor of s and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 3 - 3)*(-2*r + 8*r + 9*r).\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 179.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 5*x**4\/4 - 13*x**3\/6 - 3*x**2\/2 - 4310*x. Let m(b) = 7*b**2 - 6*b - 2. Give -4*d(o) + 9*m(o).\nAnswer: 3*o**2 - 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133299 + 261308. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 + 4*i + 4. Let y be u(-2). Suppose 8*j + y = 12*j. Let v(h) be the third derivative of h**4\/12 - h**3\/6 - h**2. What is v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 16*g**2 + 25*g - 103. What is h(14)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.7 - -19.4. Let s = -0.3 - j. Is s at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5556*u + 2780*u - 994*u**2 + 2776*u in the form r + z*u**2 + k*u and give z.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64077 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71787982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -22 in ascending order.\nAnswer: -22, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9005 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20128358 divided by -1\nAnswer: 20128358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 2)*4\/5. Suppose s + 3*l - 23 = -s, -o*s + 57 = -5*l. Let g be (-26)\/s - (0 + 1). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight sevenths of a week in hours?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 75564.\nAnswer: 75564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/8*(8 + -2). What is the highest common factor of b and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x - 1\/20*x**5 + 0*x**4 + x**2 - 6 + 0*x**3. Let d(h) be the second derivative of z(h). Factor d(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*d**2 + 20*d.\nAnswer: -2*d*(d - 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4*(-12)\/3. Is g at least as big as -15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eea when three letters picked without replacement from yleallllellaaall?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*r - 1145 = 92*r + 355 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**3 - i. Let n be ((-52)\/(-182))\/((-2)\/28). Let j be n*1\/(-28) - (-8)\/(-7). Give a(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - -15.93. Let g(m) = -64*m - 445. Let y be g(-7). Which is the biggest value? (a) l (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, -56, -161, -266?\n\"Answer: -105*u + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 95?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -24. Let d be ((-3)\/9)\/(2\/(-18)). Let s be 3\/(-10)*d\/(-9). Which is the biggest value? (a) g (b) s (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6032, -54710, -186838, -444140, -868340, -1501162, -2384330, -3559568?\nAnswer: -5068600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, 3, 2\/7, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-21))\/(-5*10\/175).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**5\/20 + i**3\/3 + i**2 + 3*i - 9. Let m be x(-1). Put 2, m, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/49)\/(0 + 5 + (-610)\/140). Let a(j) be the third derivative of 1\/120*j**6 + 0 - 19*j**2 + 0*j + r*j**3 - 11\/24*j**4 - 3\/20*j**5. Give a(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:21 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 5*a = -33*q + 15, -20 = -q - 3*a. Let f = 10 - 14. What is the biggest value in q, -1\/3, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**4\/24 - f**3\/3 + f**2. Suppose 3*d - 45 = -2*c - 3*c, 4*d - 50 = -5*c. Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4880541 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -1 - 5\/(-2))*0. Suppose w = 51*z - 47*z - 76. Solve -3 + z = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 14 = -2*a. Let j(o) = 2*o - 2*o - 10*o**a + 13*o**2. Let y(c) = -2*c**2. Calculate y(j(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 5*m + 8 + 56*m)*(-7*m**2 + 6*m**4 + 7*m**2).\nAnswer: 306*m**5 - 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-5))\/(106*912\/(-181260)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -105 + 35. Let s(u) = 3*u - u - 4*u**2 + 5*u**2 + u**3. Let f(g) = -4*g**3 - 3*g**2 - 6*g. What is q*s(l) - 2*f(l)?\nAnswer: l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*q + z - 59 = -411*q, 14*q + 4*z = -5*z + 159 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -75\/4. Let z = -14.6 + 14.332. Let g = z + 1.268. Which is the second biggest value? (a) q (b) -1\/2 (c) 0 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c + 2009*c**3 + 2899*c**3 - 4893*c**3.\nAnswer: 15*c**3 - 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*s - 4. Let h(q) be the third derivative of 3*q**4\/4 - q**3\/6 + 3*q**2. What is the tens digit of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -88, 952, 2704, 5186, 8416, 12412, 17192?\n\"Answer: 3*f**3 + 338*f**2 + 5*f - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z - 6. Let u be j(9). Suppose -u*n + 0*n = -6. Find the second derivative of -214*c**2 + 7*c + 214*c**2 + n*c**5 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 11*g + 3*t, -2*g + 295 = -5*t + 264 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 303?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(sqrt(13) + sqrt(26)\/sqrt(2) + 2) + -3 + (0 + sqrt(117) + sqrt(13) + sqrt(13)*-1*2)*-2)**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -e403a?\nAnswer: e4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12 - 4. Let a(s) = 1 + 3*s - 10*s + y + s**2. Is a(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5128*r = -5029*r - 1683 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 566171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259372 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: What is the distance between -3557 and 2153909?\nAnswer: 2157466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3480846?\nAnswer: 2, 3, 71, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 28. What is v rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 113020588, 226041176, 339061764, 452082352?\n\"Answer: 113020588*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259.119 + 259. Let b = 4.881 - k. What is the third biggest value in -4\/3, b, 0.5, 6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 15. Suppose 0*l - 4 = -2*l. Let o(d) = 5*d - 7 + 0*d**2 - p*d**2 + d**l - d**3. Determine o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7229 times 0.2\nAnswer: -0.14458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*677*-195*1. Suppose 2*i + q - 248156 = 15847, 0 = i + 5*q - w. Round i to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-201)\/12 + -1*(-10)\/(-5) and 48\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 6*b - 10 = 0. Suppose 0 = y - 5*n + 4 + 5, -b*y + 4*n = 3. Is y >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:43 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-2))\/(41\/(-410)). What is the second derivative of -j*v**2 + 85*v**2 - 40939*v + 40822*v wrt v?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n = -2*n - 108 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 2*u + 4*n - 879, -4*u - n = -1615. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 + 2*q**2 + 3*q**2. Let j(g) = -g**2. Determine a(j(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -121, -175, -213, -229, -217?\n\"Answer: b**3 - b**2 - 68*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 451377984 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -x, -5*j + 6 = 3*x - 6. Is (15\/(-6) + j)*146 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q. Let w(z) = z**3 - z**2 + 2. Let g be w(0). Let a(h) = -11*h**2 - 8*h**2 + 17*h**g. Determine m(a(b)).\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613928?\nAnswer: 2, 3, 67247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*s*y**2 + a*s*y - 3*a*s - 46*a*y - 14*a + 467*s - 199*y**2 with respect to s.\nAnswer: -2*a*y**2 + a*y - 3*a + 467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 11, 0.7, 8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13016724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1633, -5, -3, 1 in descending order.\nAnswer: 1633, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 34*p - 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566890, -566891, -566892, -566893, -566894, -566895?\nAnswer: -566896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*o**6 - 721*o**2 wrt o?\nAnswer: -8040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.181*-9\nAnswer: -1.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 5*t - 4*d - 172, 471 = 8*t - d. Let h be 1082\/18 + (-6)\/(-27). Is h <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 25476345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1085648 - -0.11\nAnswer: 1085648.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(637) + -2*sqrt(637)*-2)**2*-6.\nAnswer: -95570 - 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10010001 (base 2) to base 10\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/15)*m\/(m\/m**(-1))*m*m\/m**(2\/13)*m*m**(1\/28) assuming m is positive.\nAnswer: m**(9547\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38010 or 38117?\nAnswer: 38010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2104 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c + 21 = -79*c. Let j(q) be the second derivative of -1\/6*q**c + 3*q + 0 + 0*q**2. Let m(i) = 5*i**2. Give j(m(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91*((-6)\/(-24))\/((-56)\/(-64)))\/(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 12*d**2 + 2. Let g be o(12). Suppose g*c = 5 + 3. Suppose n = -c*v + 276, -4*v + n = -2*v - 138. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-184)\/16 - 1\/(-2). Let c = 15 + p. Let d(h) = 2*h - 4. Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4504 - 188.92387\nAnswer: -4692.92387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315\/12 - (-4)\/(-16).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + -30 + 20 + -71.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 714 + 4606. Let p = f - 292. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 18*g + 72, -173*g + 8 = -4*d - 175*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from zpooopgprplrogpop.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27389?\nAnswer: 61, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6\/7, 0.06, 2, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.26 - 0.56. Let j = u - 5.8. Sort 11, 2, j, 3.\nAnswer: j, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 840826.\nAnswer: 1681652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31790, -31771, -31762, -31763, -31774, -31795?\n\"Answer: -5*r**2 + 34*r - 31819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 6*t + 7. Let o be i(-5). Let w = 24 - o. Calculate the greatest common divisor of 96 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10581255 (base 9) in base 11?\nAnswer: 2995530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*a - 10, 4*b - 3*a + 42 = 31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-3)\/(-1)))\/(20\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 k when four letters picked without replacement from ttkttkdtktdk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-18) - (3 + -2 - 4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*l - 108*d + 110*d, -3 = 3*l - 4*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.9 - -10.5. Let h = 4.4 - v. Is 1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 5. Let v(u) = 17*u + 14. Determine -11*j(i) + 4*v(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - (-22)\/(-44). Suppose 3*j - 5*a + 21 = 0, -6*j + 9*j - 4*a + 18 = f. Sort j, -8, 3, -1 in decreasing order.\nAnswer: 3, -1, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-5) - (-1)\/(-5). Suppose 43*c - 18*c = -50. Sort 4, b, c.\nAnswer: b, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415.3661 centuries to years.\nAnswer: 41536.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -166*c**2 + 3649*c + 46. Calculate p(22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1960)*2 - sqrt(1960)*-2*6)\/(2*sqrt(72) - 1*(sqrt(8) + sqrt(16)\/sqrt(2))).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 17*a**2 - a + 27. Suppose 0 = -17*p + 23*p - 102. Let u be w(p). Solve 7*v = 2*v - u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + g**2 - 6*g + 2*g**4 + 10*g**4 + 2*g + 3 as b + d*g**2 + r*g + x*g**4 + i*g**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.03, 196, 7\/409?\nAnswer: 7\/409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x\/(x*(x\/(x**(-20)*x)*x)\/x)*x)\/x)\/x)**(-45)*(x**(12\/7))**38 assuming x is positive.\nAnswer: x**(6126\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1225484 and 919113?\nAnswer: 3676452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498870 and 6025.\nAnswer: 2494350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5, -10, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 11 = 17. Suppose -3*f = 5*r + 34, 0 = -5*r - 0*f - w*f - 37. Which is the smallest value? (a) 0 (b) r (c) 5 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 2*b**2 - 1. Let h be p(-1). What is the third derivative of -u**2 + h*u**2 + 3*u**6 - u**2 wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, e: 2, r: 1, q: 2, g: 2}. What is prob of sequence qgza?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -89796, 572 in increasing order.\nAnswer: -89796, -5, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 100 = 3*y. Suppose 3*r = -r + y. Solve -r*g = 0, 0*z = 5*z + g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-12)*s*s**(-4\/9))**(1\/2))**(2\/99) assuming s is positive.\nAnswer: s**(-103\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2607515.4 and 0.1.\nAnswer: 2607515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48.17 and 7?\nAnswer: -337.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8335 + -c?\nAnswer: 8328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 5*y**3 - 4 + 16*y + 5*y**3 - 4*y**3 = 0. What is y?\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -258910.\nAnswer: 2\/129455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 198, 1, -10, -3 in descending order.\nAnswer: 198, 1, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by (5 - 1)*6\/(-5)*-5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u + 2. Let r(z) = 11*z - 3. Determine 4*l(j) + 3*r(j).\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 118364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - (4 + -5)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1649.4 and -0.9?\nAnswer: 1648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 193732031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*w - 0. Let c = -41 - -16. Let j = w - c. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 3772\/(-115)) + -16\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -4*p + 280. Let w = 18 + p. Let g = -95\/28 + 22\/7. Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -262*n**2 - 10*n. Let r be u(-1). Let p = -250 - r. Determine b so that 0 - 3\/7*b**p + 3\/7*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/6 + 1 + 2. Suppose g*b + 5*o - 44 = 86, 73 = 3*b + 2*o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q - 4. List the prime factors of f(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 10*o**2 + 11*o - 11. Let l be m(10). Let y(j) = -3*j + 101*j**2 - l*j**2 + 3*j. Let a(r) = 2*r. Determine a(y(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5\/2 - 613278*v**4 + 3066366*v**3 - 5519445*v**2 + 8585793*v\/2 - 1226541 = 0.\nAnswer: 1, 2, 408847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 69 - 3*z - z + 13*z - 69. Let u(w) = 36*w. What is c(u(l))?\nAnswer: 324*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -34 (c) 0.3 (d) -5 (e) 3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = 26. Let n = 11 + p. Suppose 2*o - 2 = 0, 4*s - 9*s = -n*o - 96. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -497*j - 145*j - 728*j - 51*j to the form a + u*j and give u.\nAnswer: -1421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -86499, -172998, -259497, -345996, -432495, -518994?\n\"Answer: -86499*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-21))\/((-4)\/402). Let k = l - -59. Let d(q) = 3*q**2 + 5*q + 2. Let c be d(-3). What is the highest common divisor of c and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*l + 20*l + 212*l - 135*l = 16500 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -645, -5040, -17111, -40782, -79977, -138620, -220635, -329946?\n\"Answer: -654*t**3 + 86*t**2 - 75*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, 79, 119, 165, 217, 275?\n\"Answer: 3*w**2 + 25*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48708495 rounded to 4 dps?\nAnswer: 0.4871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/3 - 8*t**3\/3 - 32*t**2\/3 + 128*t\/3 = 0. Calculate t.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3649 and -11\/65.\nAnswer: 237185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 788 - 720 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 7*u**2 - 7*u + 17. Let t be k(-5). Suppose h + 14*g - 11*g - 31 = 0, -t*g - 11 = -h. What is the remainder when 112 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -55. What is the third derivative of -34 - 3*t**3 + s + 19*t**2 - 4*t**2 wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/4)*k)**(-22)*(k**(-2))**(-4\/17) assuming k is positive.\nAnswer: k**(-919\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 96 = 13*m, 25*m - 21*m - 28 = 0. Let n(r) = 59*r**3 - 1. Give n(d).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/6 - 108998065*v\/3 + 2376115634748845\/6.\nAnswer: 5*(v - 21799613)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5868 and 1580122.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-76)\/5 + 3\/15. Let v = 20 + y. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - b + 9 = 0, -3*b + 4 = -2*m + 11. Suppose 5*v - 3*s - 10 + 3 = 0, -v = m*s - 4. Let r = 286 + -272. What is the highest common factor of r and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 10, 1\/3, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*-2*((sqrt(468) + (sqrt(468) - (sqrt(468) - (sqrt(468) + 0))) + 4 - sqrt(468)) + (0 + sqrt(468))*-1) + 3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 + 5*i - 2. Is b(-11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-6 + 7) - -132. Suppose 4*l - 195 = -5*t, 3*l - 2*t + 6*t - 146 = 0. Let v = y - l. List the prime factors of v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Calculate r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 1 = -9*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/112 and 29\/5236?\nAnswer: 20944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -760581571 and -422?\nAnswer: 760581149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-153)\/(-55))\/((-2)\/(-5))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 40 (c) -3 (d) -31\/5 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7612230 is divided by 7612194.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 965429+-2252787\nAnswer: -1287358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38412 - 38412.110172. Let t = s - -0.11. What is t rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 6*m**2 - 4*m + 6. Let t be f(4). Let d = t + 54. What is the highest common factor of 30 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -17. Suppose -2*t + m + 0*m = -23, 3*m = 2*t - p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 817563 and 9703?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 2*h**2 - 2*h**4 + 177*h**3 - 1 - 176*h**3 + 0*h**4 - 2*h to the form f*h**4 + p*h**3 + d*h**2 + j*h + x and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1269485, 1269504, 1269523, 1269542, 1269561?\n\"Answer: 19*t + 1269466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 5. Let y(q) = -2*q - 13. Let z be y(v). Suppose 0*a + 861 = w - 5*a, z*w = 4*a + 2539. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850459417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w**2 - 2*w + 0*w**2 + 4*w**2 - 3*w**2 + (-2*w + 2*w - 2*w)*(2*w - 3*w - w))*(1190 + 273 + 1126).\nAnswer: 7767*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-5))\/(-4))\/((-37)\/185).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13610.6 and -0.4?\nAnswer: -5444.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022961504 rounded to 7 dps?\nAnswer: 0.0022962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/1302*-14)\/3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 255, 537, 829, 1137, 1467, 1825?\n\"Answer: h**3 - h**2 + 278*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*y + 3*y**2 + 36*y - 19*y + 4*y**3 in the form h + r*y**3 + c*y**2 + d*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x + 76908 = 76*x. List the prime factors of x.\nAnswer: 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12016 (base 8) to base 10\nAnswer: -5134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h**2 - 83*h**2 + 20*h**2 + 28*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - -1006. What is the highest common factor of l and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n*n)**21\/(((n\/n**(-1\/5))\/n*n*n*n)\/(n\/n**(-1\/11))))**(-3\/40) assuming n is positive.\nAnswer: n**(-10221\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4098*w**3*z + 807*w**2 + 2*z wrt w.\nAnswer: 24588*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 461082*a**3 + 255346*a**2 wrt a.\nAnswer: 2766492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3447315 divided by -689463\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 20*y. Let i(j) = 9*j. Give i(m(h)).\nAnswer: 36*h**2 + 180*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*b - 3548 - 3153 - 7244 - 7475 = 0 for b.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -5*v**7\/42 + 4*v**6 - 217*v**5\/4 + 755*v**4\/2 - 4270*v**3\/3 + 2940*v**2 + 65*v + 1. Solve r(l) = 0 for l.\nAnswer: 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1540224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 16 (b) -1\/11 (c) 1\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -26) + (6 - 20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/100 + -14\/25. Let x = -1 + 0. What is the second biggest value in x, -3, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171.13 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87ede (base 15) in base 8?\nAnswer: -1513560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z + 47 - 9 + 2*z**2 - 23. Suppose 0 = -3*q - 4*f + 106, -q + 17 = -0*q + 5*f. Calculate the remainder when q is divided by m(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 + 0)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.8 + 13.9. Let q = v - 13.1. Which is the closest to -2\/11? (a) 1\/4 (b) q (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i**3 + 4*i**3 + 6*i**3)*(16*i + 14*i + 1 - 23*i) to the form q*i + k*i**4 + w*i**3 + s*i**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 488 by -8.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -326 + 322. Let v = -9.1 - -9. Let h = -1.9 + v. Sort 2\/13, j, h in descending order.\nAnswer: 2\/13, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52385 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 16*h + 48. Let q be s(-3). Suppose 29*o - 16 - 100 = q. Let y(d) be the third derivative of -d**4\/6 + d**3\/2 + d**2. Give y(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214572, -858135, -1930742, -3432393, -5363088, -7722827, -10511610?\nAnswer: -13729437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6 - b + 2*b + 0*b. Suppose 0 = 5*v + 35 - 15. Let g(l) = 3*l + 17. Calculate v*g(k) + 11*o(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 0. Let p = 2668343.9939 - 2668459. Let b = q + p. What is b rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12666 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 272 - 288 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 a factor of 409805045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20569, -31353, -42139, -52927, -63717, -74509, -85303?\n\"Answer: -b**2 - 10781*b - 9787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 4, g: 2, q: 8, e: 2, l: 1}. Give prob of sequence hl.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 2*v - 1. Give q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 12:54 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -10 - -5 - -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -486*h**2 - 2*h. Let b(i) = 2*i - 3150. Calculate b(d(l)).\nAnswer: -972*l**2 - 4*l - 3150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346999 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218 - -220. Let w = 0.3 + 0.2. Let h = 0.7 - w. Which is the second smallest value? (a) -2 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -359, -528, -717, -932, -1179, -1464, -1793?\nAnswer: -2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/20 - g**4\/2 + 14*g**2. What is u in q(u) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 962478385 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16842 is divided by 457?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 29 - 67 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40446 or 40351?\nAnswer: 40351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - 2.03. Which is bigger: k or -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 48 - 20)*(0*k + 4*k - 3*k) - 2*k + 0*k + k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/9*(-2 - -179). Suppose -4*h + b = -3*h. Suppose 0 = -2*l + t + h + 102, -676 = -4*l + 5*t. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809317 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193170221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let f = -9 + 21. Let s = -10 + f. Let r(o) = 0*o**2 - 4*o**s + 0*o**2. What is w(r(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 126*x - 168. Determine n(9).\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**5\/4 + 5*b**4\/12 + 5*b**3\/6 - 5*b**2\/2 - 35*b + 26. Let r(q) be the first derivative of f(q). Let r(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:56 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 51*a - 2687. Determine p(-53).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238204, 238170, 238136?\nAnswer: 238102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 717, 722, 739, 774, 833?\n\"Answer: b**3 - 2*b + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, -6, 2, -44, 342 in ascending order.\nAnswer: -44, -6, -4, 2, 15, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**5*k + 10*i**5 + 50*i*k - 1 wrt i.\nAnswer: -80*i**3*k + 200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3990*x**4 + 8565 wrt x?\nAnswer: -15960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12045, -48598, -109515, -194796, -304441?\n\"Answer: -12182*h**2 - 7*h + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6006 is divided by 735?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20306248 is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000157786988 rounded to six dps?\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*k = -29, -5*y - 11 = 2*k - k. Let d(g) = g**2. Let n(u) = -5*u**2 + 2. Determine y*d(b) - n(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65160.77um to millimeters.\nAnswer: 65.16077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -y - 6, 3*q - 19*y = -14*y + 2. Let f be 34\/8 + -1 - 2. Which is the closest to -2\/3? (a) f (b) -2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12686?\nAnswer: 2, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -397*j**7\/6 + 677*j**4\/4 + 7131*j. Find the third derivative of l(g) wrt g.\nAnswer: -166740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 5) to base 4\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/5)*r**(-7\/6)*(r**13)**(7\/6) assuming r is positive.\nAnswer: r**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 12\/5*j - 3\/5*j**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/4*(-19)\/((-38)\/8). Suppose -x*k - 134 - 121 = 0. Is k at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 2*g)*(7 + 1 + 5)*(1 + 0*g + 2*g + 1) to a*g + p + h*g**2 and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-1)\/(-10) + 0. Suppose -5*g + 13*g = 2320. Let h = -2028\/7 + g. What is the third biggest value in -1\/2, k, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) -4 (c) 2 (d) -1.09 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 + 4 = 0. Suppose 0 = r*x - 0*x. Solve x - 4 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 78, 5, -2 in increasing order.\nAnswer: -2, -1\/3, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i. Suppose i = 3*c - 5*c + 4. What is the third derivative of -s**c - 2*s + 2*s - 2*s**6 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 21. Let z be d(0). Let f be (17\/(-5))\/(z\/105). Is 18 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 + 20*x + 149. Determine v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 295\/11 (c) -2\/11 (d) -3\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 + 2*q**2 + 0*q**2 - 110.\nAnswer: 2*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.5 - -839861.202365.\nAnswer: 839839.702365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 15. Suppose 23 = 3*j + p. Suppose 4*l = -5*n + 168, 0 = j*n - 2*n - 5*l - 123. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 37. Sort 7, i, 0.\nAnswer: i, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.64.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3*q**3 + 8*p**3 + p**2*q**2 + 94*p**2*q + 2*p*q**3 wrt q.\nAnswer: 12*p**3*q + 2*p**2 + 12*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 846*g**3 - 2838*g**3 - 1180*g**3 - 56.\nAnswer: -3172*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/3)\/d*d)\/(d**(-4\/9)\/d))**2 assuming d is positive.\nAnswer: d**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 11:30 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyffyff. Give prob of sequence fy.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 + 2*b**2 - b - 2. Let s be f(-1). Solve 4*x - 4*m = 40, 0 = -s*x - m + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6549 + 0.69. Round z to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -174, -176, -178, -180, -182?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -19, -35, -45, -43?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2694 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7)*2 + 6*sqrt(7)*-1 - (sqrt(252) + 4)*-6)**2.\nAnswer: 1632*sqrt(7) + 8668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8786340 and 1688.\nAnswer: 3707835480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133806488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 290, 5854?\nAnswer: 5854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81062, 161983, 242902, 323819, 404734, 485647, 566558?\n\"Answer: -f**2 + 80924*f + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20382 and 1398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13362 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 33, -123, -331, -585, -879, -1207?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539.7*-1.1694.\nAnswer: 631.12518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -42\/419 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053746 * 0.2.\nAnswer: 0.0107492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2278)\/(-51) - (-4)\/(-6). Suppose -49*x + 17485 = -h*x. Suppose r + 3*b = -r + x, -2*r + 3477 = -b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279023 is divided by 7340.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 - 4*b + 2. Let j be o(8). Suppose -2*s = 5*p - j, 21 = 4*s + 5*p - 27. Suppose -s = -m + 5. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6 - (-26)\/(-4). Let b be (15\/o)\/(2\/(-4)). Suppose 181 = 5*s - b*w + 3*w, 2*s = -4*w + 58. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 0, -26, 4, -147 in increasing order.\nAnswer: -147, -26, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v = -78*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246.49 - -13.69. Let s = y - -186. Let c = -48.83 - s. What is c rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110010222221 (base 3) in base 5?\nAnswer: 144124201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 729*b**2 + 24*b - 2. Give h(-1).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14829 - 2.\nAnswer: -14831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 10*p**2 - 2*p - 34. Calculate d(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/110 and (-12 - (-605)\/50) + (-14)\/16.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 531530589 and 64989?\nAnswer: 7221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-8 - -4) + 18 + 4 + 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 1683, 4423, 8259, 13191?\n\"Answer: 548*q**2 - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 101110920 and 101110921 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = 0, u = -n + 29 - 5. Let w(i) = i**3 - 8*i**2 + 2*i - 20. Is w(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11932*k + 286431. Calculate n(24).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38191b + 5?\nAnswer: -381916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, -4, -128989 in increasing order.\nAnswer: -128989, -15, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*c + 30 = 0, -4*c = 5*o + 24 + 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:40 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/70? (a) -0.3 (b) 1 (c) -47\/4 (d) -54028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 134, 200, 266, 332, 398?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 3*s**5 + 0*s**5 + 3 - 3 + s**5 + (4*s**2 - 4*s**2 + 2*s**4)*(2*s - 3 + 3) + 21*s**5 + 25*s**4 + 2*s**2 - 25*s**4.\nAnswer: 28*s**5 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -28)*(1 + -2). Let u = p - 21. Let x = 0.8 - -0.2. Which is the closest to 2\/7? (a) x (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - h**3 + 4*h**3 + (0*h**3 - h**3 + 0*h**3)*(1 - 4 + 2) - 2874*h**3 + 62*h - 124*h + 60*h.\nAnswer: -2871*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 678915*r**3 + 615505*r.\nAnswer: 4073490*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408170.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18454480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (138\/115)\/((-2)\/(-30)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**4*j + 3495*f*j**3 + j**3 + 9891*j wrt f?\nAnswer: 4*f**3*j + 3495*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 8:51 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*d**6 + 15*d**5 - 3985*d**4 + 10250522*d**2.\nAnswer: 9960*d**3 + 900*d**2 - 95640*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-3*3)**2.\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/16)\/(37\/148)*25\/(-60)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:31 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1024128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1.3 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.331844539 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -6165868364 and -25758.\nAnswer: -6165894122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -2, 144, -0.01, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 72*r.\nAnswer: -4*r*(r - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t. Let w be m(-3). Let c be (2\/6)\/(8\/(-1296)). Let z = w - c. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3198 + 3198 - 240*w**2)*((3 + 1 - 6)*(2 + 4 - 3) + 1 - 2 + 3)*(-3*w + 3*w + 7*w).\nAnswer: 6720*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2336*z**3 - 3696837 + 3696837)*(-2 - 4*z**2 + 2).\nAnswer: 9344*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -7. Put 1, y, -5 in descending order.\nAnswer: 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638912585?\nAnswer: 5, 2251, 56767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/30 - f**5\/12 - f**4\/24 + 3947*f**3\/6 - 4232*f**2. Differentiate p(b) wrt b.\nAnswer: 12*b**2 - 10*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5506 and 16.14?\nAnswer: -88866.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 94*k + 356. Determine y(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2689500 divided by 3.\nAnswer: -896500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 1357*g - 134855. What is c(-93)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000081959367 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33716188697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 222100 to the nearest 1000.\nAnswer: 222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270410 and 80.\nAnswer: 2163280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 + 8*z - 9. Give y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 1 = 2*p, 0 = -5*v + 3*p + 19. Let y(n) = -v*n**2 - 3*n**3 + n**3 + n**3 + 3 + 2*n**3 - 6*n. Is y(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/27 or -1\/2616533?\nAnswer: -1\/2616533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t - 3. Let i be s(-3). Let g be 2\/6 + 44\/i. Solve 2*a - 2 = g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*b + 34*b + 59*b)*(-1 + 1 - b**3) + (0*b**2 + 3*b**2 - b**2)*(9*b**2 - b**2 - 5*b**2).\nAnswer: 81*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215 - -26241154?\nAnswer: 26240636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -34.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178971 + 178719.126. Let n = 252 + p. What is n rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -24 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from bhh?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6966*u + 53611. Calculate w(8).\nAnswer: -2117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1449 divide 177264688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9552 divided by -1592.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (3 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.6 + 10. Let w = 3.6 + z. What is the nearest to w in -4, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58075 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8502786?\nAnswer: 2, 3, 101, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 2184.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -441 + 417.2. Which is bigger: q or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 33*j**2 + 3*j**2 + 108*j - 1570*j**3 + 1572*j**3 - 108 = 0.\nAnswer: 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -137*m - 134*m + 4559304. What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -670*h - 81056. What is b(-121)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*f - 8, -5150*f - 4*v + 16 = -5151*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47088\/7*c**2 + 432\/7*c**4 - 22892\/7*c**3 - 2\/7*c**5 - 23762\/7*c + 0.\nAnswer: -2*c*(c - 109)**2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19272638 and 9542.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 388, 879, 1566, 2449, 3528?\nAnswer: 4803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2045 in 26, 1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.129 and -0.4?\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/3 + 22*b**4 - 160*b**3\/3 - 216*b**2 + 480*b = 0.\nAnswer: -3, 0, 2, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4981.\nAnswer: 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 + 4*g - 7*g**2 + g**3 as o*g + q + w*g**3 + d*g**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 5 - 7)*(3*w + 0*w - 4*w) - 3*w + 4*w + 0*w)*(w - w + w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33840 and 22184?\nAnswer: 1996560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23425000 rounded to the nearest one hundred thousand?\nAnswer: 23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m - 11. Let k be s(11). Find the first derivative of -156*f**2 - 160*f**2 + k + 316*f**2 + 57*f**4 wrt f.\nAnswer: 228*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 3404*v\/5 - 3402\/5.\nAnswer: -2*(v + 1)*(v + 1701)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71950*a - 102*a**2 + 71970*a - 143920*a.\nAnswer: -102*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -469.937 to the nearest integer.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143141.2 - 1.28.\nAnswer: -143142.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10471874 or -73303116\/7?\nAnswer: -10471874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 24110*i - 137*i**5 - 3 + 24063*i wrt i?\nAnswer: -2740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9 - (-5)\/(-15). Let r = 422\/15 - 2927\/90. What is the common denominator of r and (b\/((-425)\/(-30)))\/((-8)\/(-5))?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 0*n**4 + 0*n**5 - 2 + 0*n + 0*n**2 + 0*n**6 - 2\/3*n**3 + 1\/840*n**7. Let t(w) be the third derivative of a(w). Factor t(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*j = 4, -5 = -c - 0*c - j. Let k = 72 - 70. Calculate the smallest common multiple of c and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2745 - 2*o - 1217 - 845.\nAnswer: -2*o + 683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1578*x - 1934. List the prime factors of k(-6).\nAnswer: 2, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 + 2*s - 2. Let f(o) = -o**3 - o. Suppose 0 = -3*p + 82*p + 149 + 9. Give p*f(z) - v(z).\nAnswer: 5*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3. Let v(d) = 45*d**4 + 8*d**3 - d**2 + 258. Let r(p) = v(p) + 4*z(p). Find the first derivative of r(q) wrt q.\nAnswer: 180*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*p - 35, 2*i + 18 = -3*p + 6. What is the units digit of 0 + (-4 - i*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -284 and -4.\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2314*-0.312\nAnswer: -721.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 39*v**3 + 2*v**4 - 26*v**2 + 55*v**3 + 2*v**4 - 6*v**4 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/5)\/(5\/25). Suppose 83 = r - w*h, 377 = 5*r + 2*h + 2*h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.072 and -0.25?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 times -0.05?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 147817.2 months?\nAnswer: 1231.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/3)\/a**(2\/17))\/(a**3)**43 assuming a is positive.\nAnswer: a**(-6653\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0238009 to 4 dps.\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*b + 5, 0 = c - 0*b - b + 2. Let m = 26 - 17. What is the remainder when m is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q. Let b(g) = -253*g**2 - 2. Determine b(h(r)).\nAnswer: -6325*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001101 + -100?\nAnswer: -100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 7971.378043?\nAnswer: -7981.378043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*j + 1\/2*j**2 - 3\/4*j**3.\nAnswer: -j*(j - 1)*(3*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4167 * -3.1336\nAnswer: -13057.7112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t + 143. Let y be p(-8). Suppose -2*m + 5 = -m. Solve -m*j**2 - 3*j**2 + y*j**2 - 6*j**2 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*b, 2*r - 3*b - b = 0. Suppose f - 15 = 2*p - r*p, 0 = -f - 3*p. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(5 - 1). Let f(n) = 7*n**3 - 13*n**2 + 10*n + 2. Let x(o) = -6*o**3 + 12*o**2 - 9*o - 2. Let v(s) = -5*f(s) - 6*x(s). What is v(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -20. Suppose 0 = -m - 3*n - 11, -m + 2*m = -2*n - i. Solve 16 - m = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1620)\/(-180)*-10*4\/16*2\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -9)\/(-5)*54\/3. Let c be (-3)\/(-1) - (-2 - v). Solve -j + 40 - c = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 4 = 2. Is -21\/10 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -13403, 77, -30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 2. What is i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 342.86608 + -343.7. Round z to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47\/35 - 6\/5. Which is the third smallest value? (a) 2 (b) -0.5 (c) 2\/11 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 45. Let v(x) = 10*x - 9. Suppose -9*h = -10*h + 3. Let m be v(h). Let d be g(m). Solve -6 = d*p + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/3710, -4, 10, 0.5 in ascending order.\nAnswer: -4, -1\/3710, 0.5, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-17 - (6 + -14))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.234276 nanograms to milligrams.\nAnswer: 0.000006234276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 20 - 18*q**2 + 20 + (11*q - 10*q + 11*q)*(-3*q + 4*q + q))*(1 - 1 + 1)*(-1 - 1 + 4)*(-1 + 2 - 2) - 3*q**2 + q**2 + 5*q**2.\nAnswer: -9*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 33 (c) 2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -0*b + 5*b - 16, -2*c + 4*b - 3028 + 3018 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 12, a: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 - u - 2*u**3 - u**4 + 4*u**4 - u**4 as v*u**2 + s*u**3 + j*u + o*u**4 + l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (105\/5 - 2). Suppose -13*u - 12 = -t*u. Which is the nearest to -1? (a) u (b) -2\/9 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -33*l**3 + l**2 + 2*l - 1. Give b(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 < -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 122632005?\nAnswer: -122632017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-2\/3)*m))**(1\/3)\/(m**(-2\/7)*m*m**(-4\/7)) assuming m is positive.\nAnswer: m**(26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 + (-7938)\/(-98))\/(((-66)\/7)\/3)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/39 + 20\/117. Which is the closest to 0? (a) -0.5 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-14)\/63 + (-20)\/9. Let o = -0.9 - -0.6. Let y = -0.1 - o. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4345 (base 7) to base 6.\nAnswer: 11104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*f + 2)*(0*f**3 + f**3 + 0*f**3) + (3 - 2 + 0)*(-3*f**4 + 2*f**4 - f**4) - 3*f + 3*f**4 + 3*f.\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (74\/16 - -1) + -6. What is the second smallest value in g, -21, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 37. Is g smaller than 10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8538 + 85481\/10. Find the common denominator of 103\/140 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 6. Let z(y) be the third derivative of y**4\/12 - 7*y**3\/6 - 12*y**2. Let j = -12 + 8. What is j*h(a) + 3*z(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 4*h**3 + 4*h**3 + (-h**2 + 5*h**2 - 6*h**2 + 2*h)*(3*h + 2*h - 2*h)*(-3 + 3 + 3)*(-15 + 6*h + 15).\nAnswer: -110*h**4 + 108*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 24 = 51. Let r(x) be the third derivative of 0 + 5\/6*x**t - 1\/4*x**4 + 0*x + 3*x**2. What is the derivative of r(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9071338 (base 11) to base 8.\nAnswer: 75160217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -122?\nAnswer: 11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 1)\/(-1 + 2). Let c be (0 - b) + (-6)\/2. Suppose 2*o + 7 - 33 = c. What is the greatest common factor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 0, 5 = -n - 0*n + 5*h. Suppose 5*g - 5*i = 25, -g - 3*i + n = g. Calculate the least common multiple of 14 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3a730b - 6?\nAnswer: b3a7305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0, -1\/5, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 - 145*q - 150 = 0?\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.87 - -0.03. Let l = 1.8 - v. Which is bigger: -2.9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047077041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 893803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -1263897\nAnswer: 10111176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 557023.6442?\nAnswer: -557023.1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -z - 9, -219*z + 214*z = 7*y + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727867 is divided by 1774.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.498 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose 0 = 3*f + 166 - 886. Suppose w = -u*w - f. Round w to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -4, 0, -3, 5 in descending order.\nAnswer: 5, 0, -3, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + ((-19 - -19) + 2 - 29)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 550569 = 550576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 6*q**2 + 8*q + 7. Let v be h(-7). Suppose v = -0*k - 5*k + 135. Let j(o) = o**3 - 28*o**2 + 37*o - 9. Is 32 a factor of j(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 515\/3 + -171. Suppose 0 + 0*q + s*q**2 = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363ca45 (base 13) in base 16?\nAnswer: -100aedb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:18 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2601 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2700, 61, 3 in descending order.\nAnswer: 2700, 61, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 294*f - 5. Let a(w) = -294*w + 5. Let b(x) = 3*a(x) + 4*o(x). Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -1\/10*v**5 + 0*v**3 + 0 + 0*v - 2*v**2 + 0*v**4. Let w(f) be the third derivative of f**5\/20 + 31*f**2. Determine w(l(j)).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1212 - -4?\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 18. Let d be m(8). Let u be (-68)\/140 + d\/7. Which is the second smallest value? (a) u (b) 0.1 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1533714346660 and -58.\nAnswer: -1533714346718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c. Let s(d) be the first derivative of 18*d**2 + 1\/15*d**5 + 0*d + 0*d**3 + 0*d**4 + 10. Let g(t) be the second derivative of s(t). Give z(g(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*h + 5*y, 4*y = -h + 7 + 10. Suppose 0 = h*a - 29 - 136. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 65\/10)*6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/1412 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 570*r**3 + 2225*r**2 - 2760*r + 1100.\nAnswer: 5*(r - 110)*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 52, 117, 208, 325, 468?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 13*o - 33*o + 205 - 13*o.\nAnswer: -59*o + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = -2*q. Let x be (30\/q)\/((-3)\/12). Let y be 3 - (-4)\/(12\/x). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/342 - ((-1100)\/342 + 6). Which is the closest to -1? (a) x (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(2448)*-2 + (-4*-1*sqrt(153))\/sqrt(9) + 2.\nAnswer: 2 + 124*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8)*2\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = 0. Suppose -19 = -3*n + 2*d, -5*n + d - 6*d = 10. What is the nearest to 3 in -3.9, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fln when three letters picked without replacement from {t: 1, l: 1, n: 1, f: 1, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 2)*(o + o - o)*(-2 - 1 + 2).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.9656433 to three dps.\nAnswer: -46.966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 82. Let r = 123 + f. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f - 0*f. Suppose h = p, f*h + 1 = 26. Suppose u - p*u = -148. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*h + 80 = 3*c, 3*h + 34 = 2*c. Calculate the remainder when 66 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7314, 58492, 197410, 467940, 913954, 1579324, 2507922, 3743620?\nAnswer: 5330290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 65.3. Which is the biggest value? (a) 1\/7 (b) 0.3 (c) m (d) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15498028 and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - x = 13, -4*b - 3*x + 0 = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a + 1341 - 19*a - 1341 + 8*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -3*y**5\/20 + y**4\/2 - y**3\/3 + 59*y**2\/2 - 16*y. What is the second derivative of g(v) wrt v?\nAnswer: -18*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 87 + 148 + y)*(5 - 2 - 4).\nAnswer: -y - 301","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = -2*z - 2*j, 0 = -2*z - 4*j + 12. Let r be -18 + (-2)\/(-1) + 1. Let b = r - -14. Put b, 4, z in decreasing order.\nAnswer: 4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 3. Let c(u) = 12*u - 32. Let t = -27 + -5. Let x(i) = t*o(i) - 3*c(i). Let y(m) = -m. Give y(x(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -11422 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 7456080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 0, 5*t + 5*x = 11 + 4. Which is the nearest to 1? (a) 1\/2 (b) -2 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16815.48 * 4\nAnswer: -67261.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1036681 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 548 by -548.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and (-21)\/63*12*-8?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 618 = c + 1575, 0 = 3*p + 2*c - 2193. What is the highest common factor of 43 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + -1 + -3) - -2) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = l + 5*a, 3*l + 4*a - 82 = -41 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*o - 563*o + 16184 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4. Let u(a) = 3. Let q(l) = -u(l) + x(l). Let z(i) = 3*i - 27. What is 54*q(s) + 2*z(s)?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4*11\/(-132)*-30.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + w - 81 = 0, 5*b - 4*b + 4*w = 78. Let v = -87 + b. Sort -0.1, 2\/5, v, -1.\nAnswer: v, -1, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 9*n + 2. Let a be z(-6). Suppose 2*y = -3*t + 3, 0 = 5*y + 4 + 11. Suppose -a = -4*d, -5 = 4*i + t*d - 28. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + 155. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*v**4 - 317*v**2 + 317*v**2 + (-4*v**3 + 0*v**3 + v**3)*(2*v - 2*v + 2*v) to the form n*v + i*v**2 + b + a*v**4 + m*v**3 and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = l, -2*b = -3*l + 5*l - 2. Suppose 2*w = -b*w - 4. What are the prime factors of 2\/((-3)\/w + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403433289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(n - 3*n + 4*n) - 63*n + 155*n + 100*n to the form x + d*n and give d.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10483, -20971, -31459, -41947?\nAnswer: -52435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26837936?\nAnswer: 2, 199, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/21))**(-1\/9) assuming j is positive.\nAnswer: j**(-2\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6470 + 15*l**2 + 6470 + 20*l**2.\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 145 + -1c9?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 13*i**2 - i - 5. List the prime factors of c(3).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37189, -37229, -37267, -37303, -37337, -37369?\n\"Answer: x**2 - 43*x - 37147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -34. Sort -1\/10, 0.5, u, 1\/6 in ascending order.\nAnswer: -1\/10, 1\/6, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129567028.\nAnswer: 2, 32391757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)\/r*(((r\/(r\/(r**(-1\/6)*r)))\/r*r*r)\/r)\/r*r)\/(r**2\/(r**(-2)\/r)) assuming r is positive.\nAnswer: r**(-329\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:18 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*-6 + -3 + sqrt(153) + -3)*-5.\nAnswer: -285*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-3 - (0 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - 2*u + 10. Let a(i) = -6*i**2 - i + 11. Suppose 0 = 3*g - 6*g - 2*j - 20, -4*g + 2*j - 22 = 0. Let l(h) = g*a(h) + 7*c(h). Give l(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (6\/24 - 617\/4). Calculate the highest common factor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 75 - -1 - (-9 - (3 - 8) - 7).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.8, -10, 4, -0.3, 1252?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 624958\/(-712) - (-3)\/4. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4650 by -10.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 0, -19\/9 in ascending order.\nAnswer: -5\/2, -19\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675798.\nAnswer: 2, 31, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593091 is divided by 22126?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o - 16. Suppose r = 3, 6*r - 7 = x + 3*r. Let q(d) = -4*d - 3. Give x*h(g) - 11*q(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -493, -1, 1 in ascending order.\nAnswer: -493, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(2*o + 2 - 2)*(149 - 6 - 18).\nAnswer: 250*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 8*y = 0. Suppose 0 = -3*c - y*c + 6. Let o = -4 + 7. Solve -o = 2*a + 2*r + 5, c*a + 7 = -r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from erpepq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m. Let b(n) = 2*n + 11691. Give s(b(u)).\nAnswer: -12*u - 70146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 4. Let a(p) = -8 + 110*p - 10 + 9 - 119*p. Determine -4*a(z) - 9*f(z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1 - m**2 - m - 6*m**3 + 1 + 7*m**3. Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/((-63)\/7)*(-3)\/42. Which is the closest to 1? (a) 8 (b) j (c) -3 (d) -0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 10. Let m = 4 - n. Suppose m*v - 4*z = 6*v - 3200000, 3200000 = 4*v + 5*z. What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3767, 3378, 2989, 2600, 2211?\n\"Answer: -389*w + 4156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9906476 rounded to 3 decimal places?\nAnswer: 4.991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*v - 2. Suppose -v*r + 3*c + 7 = 0, -3 = -2*r - 0*r - c. Is 2 not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (-2 - 0) + -1. Solve -3*r + r + g = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 1, 3 in decreasing order.\nAnswer: 3, 1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 77, 40, 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 a factor of 14085981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 12 = 4*y, -2*x - 5*y - 22 = 0. Let n = 25\/823152 - 3\/1559. Let p = 2\/33 - n. Which is greater: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:21 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times -194?\nAnswer: -40.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11846\/231 - -4\/77. Let k = -52 + n. Let y = -2\/1029 + -2024\/17493. What is the nearest to k in 4, -1\/8, y?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 m when three letters picked without replacement from wwllwmmmwllmmw.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - -0.2. Let c = -3.1 + m. What is the closest to 0.1 in c, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 8 = c, 3*c = m - 285 + 277 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 3\/2 (c) 1\/4 (d) 2 (e) -3\/4 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:43 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.07999823 + -6.08. What is m rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 10) + (-4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-205)\/5 - (-3)\/3. What is the remainder when 8\/i + 302\/10 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453018 = 38*p - 184113 - 321571. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w. Let p(b) = -12*b**2 - 10*b + 2. Let f(d) = -10*n(d) + p(d). Factor f(t).\nAnswer: -2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 3*x**2 - 7*x - 6. List the prime factors of c(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 364 or 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000124515 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 587, 672, 755, 836, 915?\n\"Answer: -w**2 + 88*w + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7778331 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 123*b + 155 - 118*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s)**(3\/25)*s**(1\/5)*s**6 assuming s is positive.\nAnswer: s**(149\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -25*z**4 - 35*z**2 + 5. Let o = -31 - -36. Let p(a) = -12*a**4 - 17*a**2 + 2. Let q(d) = o*p(d) - 2*r(d). Find the third derivative of q(s) wrt s.\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-3 - -6)) + 187 + -158.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 85.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/18 - -7) + (-1)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.01 (b) 1\/2 (c) 1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -206 - -323 - (111 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599 - 599 - 1164*y.\nAnswer: -1164*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40248 and 34645.\nAnswer: 107260920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/6 - 334*y. Let s(b) = -512*b. Calculate s(l(z)).\nAnswer: 512*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6 = -4*y + 3*o, -10 = 5*o. Suppose 33*n - 18 = 36*n. Let g be 6 + n\/(-2) - 5. Solve -k + 2*k - p = y, -k = p + g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*g)*(-142*g**3 + 73*g**3 - 461*g**4 + 69*g**3).\nAnswer: 1844*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62136 and 41424.\nAnswer: 124272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -649\/2, -12\/343?\nAnswer: -12\/343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from ffbhbhbfbbffhh?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30935 + 30960. Solve -88 = 47*v - c*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553108 is divided by 184363.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -217223\nAnswer: 1086115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17127, -32269, -47409, -62547, -77683, -92817?\nAnswer: -107949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088 + -3 + 5 - 2*-1.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:53 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3790566.\nAnswer: 2, 3, 13, 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let k = -0.77 + -0.23. Let a = -0.6 - -0.4. What is the nearest to a in k, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 888, 5428, 13632, 25500, 41032?\n\"Answer: 1832*j**2 - 956*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2192.31 in -4, 3, -1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 17. Suppose m = -0*z + 5*z. Suppose 0 = -z*c + 4*x + 20, -34 = -4*c + x + x. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 19345?\nAnswer: -47\/19345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4138663901 to the nearest integer?\nAnswer: 64332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 d when four letters picked without replacement from dddllldlllllllldlld.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**3\/6 + 3*k**2 - 4*k. Calculate b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/540)\/((-462)\/(-36036)).\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/6)\/(-1*1)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 33 + -39 + -3 + -38 + 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 1150?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, n: 4}. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 29. Is ((-6)\/t)\/(9\/(-2076)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 2. Let i be u(5). Let k be i\/5 - 24\/40. What is the highest common divisor of k and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -4740\/713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, n: 1, x: 1, p: 3}. Give prob of sequence ps.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = -4*t, 3*p = -2*t - 10. Let g be (p\/3)\/((-2)\/6). Suppose 12 + 3 = 5*j. Sort j, 0, g in ascending order.\nAnswer: 0, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 11*l - 57000000 = 0. Round l to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/3 - 2180*g**4\/3 + 3480*g**3 + 444860*g**2\/3 - 10442*g\/3 - 147560 = 0. Calculate g.\nAnswer: -12, -1, 1, 17, 1085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) -5 (c) 87 (d) 3\/4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 4:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827131 is divided by 456733.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:53 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.25252 times -0.3\nAnswer: -0.375756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-16))\/(18\/(-32)). Let x = 1\/11605 - 6331\/11605. Is x bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2244239 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 687529 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-7)\/(-1665)). Let i = n - 79. Put 2\/19, 0.3, i in descending order.\nAnswer: 0.3, i, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7567 - -9.22952467.\nAnswer: -7557.77047533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a7 (base 14) in base 11?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655579121.\nAnswer: 3, 7, 1993, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 9*h - 20 = 0. Let o(x) = x**3 - 5*x - 1. Let b(q) = q**3 - q**2 + q**2 - 9*q - 1. Calculate h*o(l) - 3*b(l).\nAnswer: 2*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (0 - 5) - -8. Let q(b) be the second derivative of b**3\/3 - 7*b**2\/2 + 3*b. What are the prime factors of q(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 3*h - 2*h + 5*h + 10390*h**2 - 10384*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52\/5 of a hour?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8241*x**4 - 30135*x + 62746*x - 1 - 1 - 30370*x wrt x?\nAnswer: 98892*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 1 - 1 - 5*p**3 + 1 - 2 to the form o*p**3 + d + k*p + s*p**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5149 = 16*c - 115. Let u = -196 + c. What are the prime factors of u?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725241 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3 = -3*y. Let r(c) = c**3 - 5*c**2 + 3*c + 4. Let m be r(3). Let u = -9 - m. Sort -3, u, y in descending order.\nAnswer: y, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -29.9986. What is k rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69581933, 139163865, 208745795, 278327723, 347909649?\n\"Answer: -v**2 + 69581935*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 + 0.25. Let y = 36.09 + c. Let j = y + -38. Sort 4, j, 0.4 in descending order.\nAnswer: 4, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3 + 4*n. Let j(z) be the second derivative of -z**4\/6 - z. What is j(y(l))?\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944)*-2)\/sqrt(2) - ((sqrt(81)\/sqrt(3)*-1 - sqrt(27))*-3)**2)*3 + 4.\nAnswer: -2912 - 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/132 and 29\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -923521*q**4 + 2144952*q**3 - 1868184*q**2 + 723168*q - 104976.\nAnswer: -(31*q - 18)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(-6*f**2 + 0*f**2 - f**2) + (3*f**2 - f**2 + 2*f**2)*(-3 + 2 + 4 + (-1 + 0 + 0)*(1 - 9 - 4)) to the form x + n*f**2 + t*f and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/26 + 56*o**3\/39 - 59*o**2\/13 + 60*o\/13 - 65. Find j such that c(j) = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 44*t = -48*t - 2, -5*g - 10 = -5*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + 4 + -6 - 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2136 (base 9) to base 12.\nAnswer: ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -101, 2\/11, 5, -43\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24183 + 24178. What is the second smallest value in t, -0.1, 8\/13, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 11*q**2 + 6*q + 5. Let f(r) = 2*r**3 - 22*r**2 + 11*r + 9. Let b(c) = 2*f(c) - 5*k(c). What is the remainder when 24 is divided by b(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*x + 5*j, -5*x = -5*j - 81 + 111 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/4 in 5, -0.13, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.5 (c) 0.3 (d) -420 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**6\/180 - k**3\/3 + 1. Let z(w) be the third derivative of v(w). Let i(o) = -666*o + 667*o + 44 - 44. What is i(z(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978007?\nAnswer: 937, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1001011 (base 2) to base 5\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1468035 and 285.\nAnswer: 1468035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33962 and 0.16?\nAnswer: 33962.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*m**2 + 34\/11*m + 76\/11.\nAnswer: -2*(m - 19)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 142.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n + 154. Let m be c(-19). Solve 2*x = -4*l + m*l - 12, -5*l - x = 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*w, o - 24 = -39*w + 46*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q - 10. Let h(p) = -2*p + 6. Let b(d) = 7*h(d) + 5*s(d). Let i be b(11). Suppose -2*n + i = 4*u - 5, -3*u + 12 = 3*n. Solve -n = z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9289919.\nAnswer: 9289919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4532693709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*q - 66*q - 7435449 = 0. Do q and -39340 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -153057?\nAnswer: -1071399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20063, -20067, -20073, -20081, -20091, -20103, -20117?\nAnswer: -20133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 7*h**2 + 8*h - 2. What is the remainder when x(4) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - n**2 + 15*n - 25. Let r be k(3). Calculate the greatest common factor of 8 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 11. Suppose z = -5*p + 12 + 13. Suppose -p*c = q + 4*q - 10, -4*q + 13 = -c. Solve -2*j = q*j - 3*b + 15, -j + 2*b = 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = u - 37*s, -u + 2*s - 149 - 124 - 119 = -446 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1546)\/(-14) + 8\/14. Let q = -235\/2 + p. Let x = -7 - q. Which is the third smallest value? (a) x (b) -1\/4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1263103 from 2.6809.\nAnswer: -1263100.3191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b*b*b*b**(10\/9))*b)))\/b*b*b\/(b\/(b*b**(6\/13))*b))\/(b\/(b**14\/b))**(6\/5) assuming b is positive.\nAnswer: b**(7459\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 0*u**2 + 2*u**2)*(-9 + 3 + 7)*(-1 - 2 - 1).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 5. Let g(i) = 4*i**3 - i**2 + 2*i - 1. Let t be g(1). Suppose 0 = -3*v + 9, -5*c + v + t*v + 30 = 0. Let r be d(c). Solve j + r = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/18 - (-10)\/45. Let f be (-6)\/(-16)*(-2)\/3. Put f, 0.2, c in ascending order.\nAnswer: f, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 5, 5\/349, 2\/9, 0.1?\nAnswer: 5\/349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 699 + 4874. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -879 + 1026.6. Round z to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, 691, 2054, 3951, 6376?\nAnswer: 9323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -5*s - 15. Suppose 46 = s*i - 185. Let f = i - -2. What are the prime factors of f?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (148 + -150)\/(-2*(-2)\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/13811?\nAnswer: -2\/13811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-42) - 1*2\/(-3). Factor -m*g**3 + 0 + 1\/3*g + 1\/3*g**4 - 1\/3*g**2.\nAnswer: g*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72634, 69274, 65914, 62554?\nAnswer: 59194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/6)*(c**(19\/4)\/c*c*c)\/c assuming c is positive.\nAnswer: c**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10341 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 104911*u + 899. Let k(d) = -d**2. What is q(k(t))?\nAnswer: -104911*t**2 + 899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*161 - (25\/(-5) - -4). Let j be (-3 + a)*(-10250)\/2. What is j rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 33. Suppose -o = k - 1. Let y(x) = -x**3 - 9*x**2 + 9*x - 6. Let s be y(o). Solve 2*q = s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -39*a + 56. Let t = 56 - 63. Let x be g(t). What is the highest common divisor of 94 and x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59475.029633 + 59475. What is t rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*b - 628, 3*b + 0*v = v + 942. Let p = b + -29. What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 45, 90, 163, 270, 417, 610, 855?\n\"Answer: m**3 + 5*m**2 + m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhudqquuhuhhuhuhqhuh. What is prob of picking 1 u, 1 h, and 1 d?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -108, -306, -656, -1200, -1980?\n\"Answer: -7*i**3 - 13*i**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 596*d**3 + d - 2018 wrt d.\nAnswer: 8*d**3 - 1788*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 21*y + 49. Let l be d(17). Suppose -l = -2*x + 6*a - a, a = -x + 48. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1855, 3711, 5567, 7423, 9279?\n\"Answer: 1856*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c**5 + 76 + 132\/7*c**7 + 0*c**2 - 7\/3*c**3 + 8*c + 0*c**6 + 0*c**4. What is the third derivative of w(l) wrt l?\nAnswer: 15840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 126, 193?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -6, 88 in decreasing order.\nAnswer: 88, 11, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 1. Let k(b) = -4*b - 6. What is 14*f(a) - 3*k(a)?\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2983085 is divided by 243?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by 99.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 12*q**2 - 21*q - 56. Calculate t(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18*39 - (-488)\/(-40) - 61\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 8. Let v be h(0). Let s = -128 + 64. Let w = s - -152. What is the highest common factor of v and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:58 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -409 in decreasing order.\nAnswer: 4, -19, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 5. Let y(j) = 1. Let k be (0 - -4)*(-20)\/(-16). Let r(g) = k*y(g) + v(g). Let f be r(-4). Is 4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136310.62172 + 136308. What is t rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9 = 2*n + h, 5*h - 40 = -5*n. Suppose -3*w - n*x = -2*w - 21, x - 13 = -w. Solve -5*s + w = -3*j, 2*j = -s + 5 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v - 9. Let w be g(9). Let a be 2088\/w + (-2)\/(-9). Let u = a - 17. Calculate the remainder when 15 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 11*x - 4. Let u be f(6). Let w(v) = 44*v - 62. Is w(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 10. Let g be d(7). Let k be (-1)\/g - (-7)\/4. Let f be ((-15)\/20)\/((-1)\/20). Solve f = -5*h + k*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (240*l - 1123 - 28*l + 1124)*(7 - 2 + 14) to j + v*l and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 963521146*k - 206401431 wrt k.\nAnswer: 963521146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*r + 37*r + 39*r - 4*r**3)*(-5*r**2 + 2*r**2 - r**2).\nAnswer: 16*r**5 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1347\/154 - -73\/7. What is the common denominator of h and -85\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (10 - -34) - (-4 - 8) - -3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4696 and 86504.\nAnswer: 50777848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 37*q - 38*q = 93, k + 8*q - 5*q - 13 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4308*r - 3 = -4306*r - 3*p, -5*r + 3*p = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 3, r: 10, l: 4}. Give prob of picking 1 j, 2 l, and 1 i.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7)\/(o\/((o**5\/o)\/o)*o))\/(o**(-1)*o**(-3)) assuming o is positive.\nAnswer: o**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 2*n + n)*(-8 - 30 + 10) - 7 - 6*n + 7.\nAnswer: 78*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n**2 - n + 3. Let d be h(0). Let g(q) = q**2 + 17*q - 18. Let z be g(-18). Solve z*r - d*r = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92713920 divided by 4420.\nAnswer: 20976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 967*z - 969*z + 35 = 0, 5*m = -3*z + 55 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3636 + 964 - 4719 + 741)*(2*z + 2 - 2 + 20) to the form v + g*z and give g.\nAnswer: -13300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6210 and 75734910?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002714309 to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23701\/120 - 395\/2. Let r(b) be the third derivative of 1\/6*b**3 + 0*b - 1\/20*b**5 + 9*b**2 + f*b**6 + 0 - 1\/6*b**4. Calculate r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 297 = 3*a, w + a - 297 = -0*w. Suppose -3*y - 3*v = -w, -y + 2*v + 102 = 6. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354596041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d - 73. Determine t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -5 + (3 - 8) + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 2. Suppose -4 = x*h - 8. Find the second derivative of c + 0*c**h + 2*c + c**2 - 3*c**2 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18549 divided by -229\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-28))\/((-83250)\/(-19425))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 15. Suppose 3*w - 4 = 2. Let j be (3\/2)\/(w\/8). Suppose -5*q = -v - 4*v + 75, v = -q - 11. Let h(f) = -f - 7. Give j*s(t) + q*h(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339 or -240?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 70. Let d = -19 + l. Let g(a) = -5*a - 1. What is g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 1, n: 1, c: 5, m: 2, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*d + 20 - 319, -2*d - 191 = -5*b. Let m be 225 - -1 - (0 + 0). Let o = d + m. What is the greatest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/70 + 145\/(-42) and -1 + 42\/16 - 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 7*z**2 - 6*z. Let b be ((-8)\/12)\/((-1)\/(-9)). What is w(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*n + 4440 = 300*n - 55*n for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24962497 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2 + 1)*-1. Let j(d) = -d**3 - 3*d**2 - 3*d - 2. Let t be j(-2). Suppose v*w + 5*w - 10 = t. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 - 4*g + 14. Let l be n(-6). Let d = 1 - 1. Suppose 5 = 5*z - d. Solve 0 = 4*j - 5*k, j - 4*k = -l*j + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3 + 3)*(-r**2 - 6 + 5*r**2 + 9).\nAnswer: 12*r**4 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3 = -6*g. Suppose -a = -g, 0 = -5*m - a + 21 + 27. Let f be (-3)\/m + 1192\/12. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2282826 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/313344 and 29\/522240?\nAnswer: 1566720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-100) - 2\/5. Suppose -7 - 17 = 2*m - 5*s, -m - 3*s = 1. Let u be 1\/(((-140)\/8)\/m). Is u at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Let h be (7\/((-7)\/(-2)))\/(-6 + 8). Solve -q - l - h = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 10*v - 11*v. Suppose -5*d = -v*d - 16, 3*i - 59 = -4*d. Solve -3*c = -4*h + 5, 4*c + 2*h - 5 = i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1574 - 1617.97. Round z to zero dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.26 + 2.26. Suppose -2*r - 4*h + 19 = -h, -17 = 4*r - 5*h. Let p be (-6)\/r + -1 - -1. What is the closest to 1\/4 in d, 2\/3, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {r: 8, m: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-4 + -1)) + 11 - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48948, 48953, 48970, 49005, 49064, 49153, 49278?\nAnswer: 49445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 11*g**3 - g**3 + ((2 - 2 + 1)*(1 - 1 + 2*g) - 2*g + 8*g + 3*g)*(-g**2 - 1 + 1) to k + z*g**3 + t*g + u*g**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 1298, 1999, 2740, 3527, 4366, 5263, 6224?\nAnswer: 7255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1821632 and 93\/2104.\nAnswer: 479089216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13979 + 17601. What are the prime factors of g?\nAnswer: 2, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -52. Calculate the highest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(15)\/sqrt(5))*3.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**5 + 960*p**4 - 43340*p**3 + 608160*p**2 - 1050560*p = 0.\nAnswer: 0, 2, 28, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.43 and 0.1393.\nAnswer: 1.5693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -1.7, 1490, 1\/5 in increasing order.\nAnswer: -10, -1.7, 0, 1\/5, 1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 750158977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5435 by -5.\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13518172 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5980105.1 and 3?\nAnswer: 5980102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/7 - 25\/14. Let j = -92.22 + 90.22. Let i = -51 + 257\/5. Put i, j, y in increasing order.\nAnswer: j, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:55 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11913)\/(-7353) - 4\/(-86). Let i(n) be the first derivative of 7 - g*n**3 + 0*n**2 + 12*n. What is the derivative of i(c) wrt c?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*n - 2*f - 12 = -141*n, 7*n - 5*f + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108 + 108 + 24*m)*(2 + 3 - 4)*(0*m + 0*m + 2*m)*(2 - 6 - 11 + (-2 + 0 + 1)*(-1 + 2 - 3)) as o*m**2 + i*m + x and give o.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2444 - 2408. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + 10 + -10 - -15. Solve -6257 = -m*r - 6225 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1900) + (sqrt(1900) - sqrt(1900)*-1))*-4 - sqrt(1900))**2 - (sqrt(19) + 4*(sqrt(19) + 1)**2 + sqrt(57)\/(sqrt(3)*1))) + -3.\nAnswer: -50*sqrt(19) + 1605097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723478079?\nAnswer: 3001, 241079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -13. Which is the closest to -1? (a) -2\/3 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18075 = -31*b + 17858 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24455625 divided by -195645\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115789*h - 14920*h + 31005*h.\nAnswer: -99704*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -226*q**3 + 3*q**2 + 71*q - 1. Let t(s) = -s**2 + 6*s. Let f(a) = b(a) + 3*t(a). What is the second derivative of f(c) wrt c?\nAnswer: -1356*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.3. What is the closest to 0 in y, -0.08, 1\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-60)*6*(-4)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45652, -51732, -57800, -63850, -69876, -75872?\nAnswer: -81832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1145552*a**2*n**3 - 143157*a*n**3 wrt a.\nAnswer: -2291104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7177854 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 - 5*p - 57. Let n be f(-12). Solve -7 = -d + 5*r, 2*r = -n*d + 7*r + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24130, 55398, 86666, 117934?\nAnswer: 149202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15455, 30908, 46361, 61814, 77267?\nAnswer: 92720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -2*n - 2, -2*k + 16 = 5*n. Suppose -n*v = 256 - 1374. Does 43 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 4)*5*(-24)\/(-75). Solve -8*s + u = -12*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184710 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 405*j + 7438 = -472*j - 5012 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2. Suppose 3*l - 13 = -7. Let d(q) = 28 - 3*q**l + 0*q**2 - 28. Determine b(d(t)).\nAnswer: 45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2*w - 6. Let z be j(4). Solve -6*i - 4 = -z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 17*m + 66. Let z be c(-20). Suppose -z*f - 10 = -11*f. Solve -3*t = t + 2*k - 20, -t + 5 = -f*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(-2 + -1 + sqrt(99))*3 + -2*(1*sqrt(1331)*-6 - -5*(sqrt(1331) + sqrt(1331) + 0)))**2.\nAnswer: -15336*sqrt(11) + 224725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (2072\/(-76))\/(-7). What is the second smallest value in -35, h, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11027 is divided by 1826.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/354, 0, -4, 0.06, -5?\nAnswer: -7\/354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1428\/56)\/(-51)*(-2)\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than 2\/22057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*k - 2*k + 42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*(-246)\/22550*66?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*q = -208*q - 270 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 6*z + 4)*(3*z + 4*z - 5*z)*(-349 + 11 - 12) to s*z**2 + t*z + m and give s.\nAnswer: 4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -95. Solve z*o = -2*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/8, -44, -5, 2.7, -505.\nAnswer: -505, -44, -5, 1\/8, 2.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 147988153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6295, -25289, -56947, -101269, -158255, -227905, -310219?\nAnswer: -405197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.37901 and 0.08666.\nAnswer: -0.0328450066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s + 176 = 0. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 36 = 3*a - 31, -64 = k - 2*a. Let m = -56 - k. Find the second derivative of d**5 - 3*d**5 - 3*d**5 + 4*d**5 + m*d wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22006 (base 7) to base 13\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-10) - (33\/(-15) + 3). Factor 17*r**3 - 3*r**5 + 520*r**q - 510*r**2 + 4*r**5 + 8*r**4.\nAnswer: r**2*(r + 1)*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 357*k**2 - 356*k.\nAnswer: -k*(k - 356)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3*a - 8 = 0. Let k be (3\/6*-1)\/a. Is k greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7620 divided by -762.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -954 + 956. Find u such that 0 - 2\/3*u + 1\/3*u**x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 - 8 = -q, 3*z = -2*q + 17. Suppose -4*u = -4*x - 36, -2*x - 31 = -z*u + 2. Solve 3*o + 5*y - 32 = 0, 3*y + 2*y = -u*o + 40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/44)\/((-10)\/8*-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63740 and 0.1.\nAnswer: 6374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:24 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 68 = -5*s - 83, -5*p - 25 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6880689700 rounded to the nearest 1000000?\nAnswer: -6881000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 3*v - 5*s, 247 = 4*v - 3*s + 190 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48884636371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - w - 964 = 0, 19*x + w = 22*x - 580. Suppose 26*f - 20*f - x = 0. Solve -3*s - 5*i = -4*s + 19, 0 = -5*s + 4*i + f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**3\/7 + 512*x**2\/7 + 2252*x - 16280\/7 = 0.\nAnswer: -74, -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1673405663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*r - 10 = 0, -3*z - 7*r + r = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 6 = -2*g, -9 = 5*x - 3*x + 3*g. Suppose -5*f + 288 + 572 = x. Suppose 5*r - 8 - f = 0. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3\/5 (b) -1 (c) 0 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14, 2\/15 in increasing order.\nAnswer: -14, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/2*(-3 - -1)\/(-10). Suppose 3*v - 46 = w*f, -f = -4*v - 5*f + 8. Solve 4*g + 13 + v = -4*y, g = 4*y + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 255788.\nAnswer: 41\/127894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**6\/105 + 291*h**5\/70 - 3504*h**4\/7 - 21316*h**3\/21 - 175*h + 1. Factor g(l).\nAnswer: -2*l*(l - 146)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 14. Let c = -277\/700 - -11\/100. What is the closest to -2\/7 in w, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 8217696?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*j - 3)*(-2405 + 1211 - 2032)*(-2 + 0 + 0) to the form y*j + o and give y.\nAnswer: -12904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/10*(-3795)\/46. What is the common denominator of (-5)\/(6 + -11) - v\/(-20) and 1\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 803 + 16273. List the prime factors of b.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-8) + -1)\/((-225)\/(-250)). Put q, 2, 169, -0.5 in descending order.\nAnswer: 169, 2, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 21*y**2 + 62*y + 35. Calculate w(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/528*6\/(-21))\/(3\/(132\/209))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3355, -6767, -10179, -13591, -17003?\n\"Answer: -3412*p + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*x = -8, -4*o + o = -5*x + 22. Let z = 191\/9 + -21. Which is the third biggest value? (a) z (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - 5 = -5*j, r - 7 = -3*j. Let c be (-284)\/(-18) + 2\/9. Let a = c + -10. Solve 2*x - a = -4*p, -p + 1 = j*x + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2\/15))\/(o**9\/o) assuming o is positive.\nAnswer: o**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + 2. Suppose 4*p - 6 = 3*h, -w*h - 8 = -p + 2*h. Let a(r) = r**2 + 7. Is a(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - -198 - 63 - 93?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -6*j - 28. Which is the nearest to j? (a) -2\/15 (b) -18 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42215295 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddkk when four letters picked without replacement from {k: 2, d: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -837, -1688, -2829, -4260?\nAnswer: -5981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -151 from -21.3.\nAnswer: 129.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18833*y. Let k(g) = 2*g**2. Determine x(k(q)).\nAnswer: -37666*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19654938400 rounded to the nearest 1000000?\nAnswer: -19655000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2898 and 211374.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -9a7b8?\nAnswer: -9a807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7626 + 7625.88. Which is the nearest to 0.1? (a) 2\/25 (b) 0.5 (c) 4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at most 96\/217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 1 - 4) + (1 - 20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -131103012 (base 5) to base 8\nAnswer: -2352044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 2320847580331.\nAnswer: 2320847580331.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 2 (c) -1\/8 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 24 = -2*j - 2*j, -18 = 3*j + 5*z. Let x = 4 + j. Let d be 14 + 2 + (-1 - x). Solve -o = -2*q - 11, -4*q + d = -9*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612515, 4900159, 16538043, 39201287, 76565011, 132304335, 210094379?\nAnswer: 313610263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2929627 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/96534036 and 133\/25530?\nAnswer: 482670180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 - -172. Let f = 50337\/26 - 1932. Find the common denominator of (200\/(-32) + c)\/(5\/(-28)) and f.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1449 and 3059.\nAnswer: 27531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, -4\/5, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**4\/8 + 2*b**3\/3 - 25*b**2. Give c(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1763313629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/113, 0.118, -0.1?\nAnswer: 6\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 + (-2)\/(-4). Let q = -0.01 - -0.61. Let o = 0.1 - q. What is the nearest to y in -3, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 31. Determine l(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818 is divided by 2477?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -4*v + 7*z, -4*v - 74 = -4*z - 106 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25099 and 2113009?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -6. Let x be 29\/(-10) + 1 - (-27)\/18. Let n = 615 + -608. Which is the second smallest value? (a) t (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 61 - 27)*(-1 - 5*i + 0*i + 2).\nAnswer: -70*i + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*u + 8248*u**3 + 73*u + 10660*u**3 + 3234*u**3.\nAnswer: 22142*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-460)\/(-110) - (-4)\/(-22). What is the third derivative of -6*x**2 + 14*x**2 + 2*x**2 + 4*x**5 + m*x**5 wrt x?\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 1, -245.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (-1 + 0 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11 - 19 = 0. Let f = x + -4. Let m be (-2 + f)*2\/(-4). Solve m = 5*q + 5*w + 10, -4*w - 18 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -48, 20*i - 19*i + a - 107 = -8*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124821499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjpjpjppj. Give prob of picking 4 p.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.138 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749 = 33*s - 40*s. Let i(g) = s + 3*g - 107. Let b(d) = -6*d**2 + 11*d**2 + 5*d**2. Determine b(i(n)).\nAnswer: 90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k + 11. Let v be c(4). Suppose 0 = v*r - 52 + 1. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 - 2*s - 2. What is j(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2604 and 6972.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - q = -65, -10*q + 269 = 5*z + 384 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53352157 - 7?\nAnswer: -53352166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2 + 7*w - 6 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvfgfi. Give prob of sequence vvfi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50661811?\nAnswer: 29, 283, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 4*t - 5. Let u be d(-6). Suppose -2*i + 12 = -5*n, 2*n - 19 - u = -2*i. What is the remainder when 42 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -5. What is the lowest common multiple of v and (-2)\/(-8) - (27 + (-3396)\/48)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + f - 2)*(-f**2 - 5*f**2 + 4*f**2 + (1 - 2*f - 1)*(-5*f + 3*f + 0*f)) - 3*f**3 + 15 - 15 - 3*f + f**3 + 3*f + (2*f**2 - 3*f**2 + 0*f**2)*(-f + 0 + 0).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21814 + -21813.83841. Round a to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*-12*-1. Let v(s) = -2*s - 11. What is the remainder when 17 is divided by v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 85*v + 10. Let k be x(11). Let i = 10382\/11 - k. Calculate the common denominator of 27\/5 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 13, 46, 125, 268?\n\"Answer: 3*w**3 - 4*w**2 - 4*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 721 + -446. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47849 - 31662. Does 74 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + 0.29. Let k(n) = 2*n + 11. Let x be k(-8). Let y = -3 - x. Which is the nearest to f? (a) y (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 267\/21 + 6\/21. Let a = 6 - n. Which is smaller: -5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 (base 12) in base 15?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.37 + 0.4. Let u = -0.03005 + b. What is u rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i**2 + i**4 + 0 - 141*i**3 - 15*i**2 + 5 - 4*i + 115*i**3 to m*i**2 + b*i**3 + v + p*i**4 + l*i and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4366\/(-1298) + (-3)\/6*(8 + -14)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 8*p**2 + 6*p - 3. Let f be l(-7). Suppose 20 = -v + m + f, -3*m = -v - 16. Let z = v - -19. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (13 - 5 - 10) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, -32, 371, -14 in descending order.\nAnswer: 371, -3, -14, -19, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8 + 4*u + 0 - 5*u**2 - 13. Let h(k) = -14*k**2 + 11*k - 14. Determine -6*h(p) + 17*s(p).\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1001, -1764, -2527, -3290?\nAnswer: -4053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.2639 nanometers to millimeters.\nAnswer: 0.0002632639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1233 (b) -1\/3 (c) 225 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 2*m**2 - 2*m - 4. Suppose 5*l - 4*y - 92 = 0, 0*l - 5*l + 5*y = -90. What is the remainder when l is divided by p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449334 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: What is the next term in -2680, -2681, -2682?\nAnswer: -2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21918 = 1431*u + 1760*u + 5963 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 8*h**3\/3 - 2*h**2 + 4*h. Let d be c(4). Let i = -27 + d. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*272.\nAnswer: -23936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1294*m**2. Let u(n) = -n. Determine u(t(f)).\nAnswer: 1294*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74400 and 2885700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5440 - 104?\nAnswer: 5335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2. Let c(r) = 22*r**2 - 3. What is a(c(s))?\nAnswer: 2420*s**4 - 660*s**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f + 1. Let z(p) = 9*p**2 - 6*p + 6. Let c be 27\/6*4\/3. Calculate c*i(n) - z(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.033, 0.02, -3, 2?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -366.4 - -355.4. Which is the biggest value? (a) 2 (b) 22 (c) q (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17104*v + 343830 - 1968710 for v.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2712856?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 422 * 0.4\nAnswer: 168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770579 is divided by 64214.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9715, -19040, -28365?\n\"Answer: -9325*k - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 2\/5 (b) 3 (c) 5\/4 (d) 1\/4 (e) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 - 40 = -4*b, 0 = -2*p + 5*b + 52. What is the second derivative of -29*j + 89*j - p*j - 27*j + 3*j**2 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458 times 1?\nAnswer: 4458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10208272 times -1\nAnswer: 10208272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(128))\/(1*sqrt(4)*-6).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3567 by 3.\nAnswer: -1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16312 rounded to the nearest one hundred?\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5565308 and 133\/4770264?\nAnswer: 33391848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -520*z**5\/3 - 15988*z**4\/3 - 40796*z**3\/3 - 22640*z**2\/3 + 896*z = 0.\nAnswer: -28, -24\/13, -1, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 32*t = 222. Suppose 7*h - t - 131 = 0. Let n = -1 + h. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 7)*(-6*a - a + 2*a)*(a - a + a**2) as j*a**2 + v*a**3 + p + o*a and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.7 - 19. Let b = 4 + v. Let y = 59\/44 + -12\/11. What is the smallest value in b, 6, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p + 2. Calculate the lowest common multiple of y(-3) and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 2, d: 3, z: 9}. Give prob of picking 1 n and 2 z.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {s: 1, n: 1, l: 1, o: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*i**4 - 89806*i**3 + 2602047*i**2 wrt i?\nAnswer: -288*i - 538836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - 1 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 22*x - 3. Let q be h(-7). Let u = q + 102. Suppose 0 = -4*m - 3*j + 1 - 0, 3*j - 3 = -3*m. Sort -5, m, u.\nAnswer: u, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 + 11*(9 - (-380)\/(-44)). Solve 119*z + 5 = 116*z + 2*n, -5*z + x*n = 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 763497 and 123.\nAnswer: 31303377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (49*a + 17*a + 0*a)*(6*a - 6*a + a**2) as l + w*a + i*a**3 + m*a**2 and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*u + 31, 0*b + 6 = 4*b - 6*u for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(7125\/304)\/5*5*6\/(-75)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750094 plus -2?\nAnswer: 1750092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1\/7 (b) -0.5 (c) 2\/81 (d) 1\/16 (e) 89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-50))\/(4\/10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, d: 9}. Give prob of sequence dldl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 9*t**2 + 7*t + 6. Let a be u(-10). Suppose 0 = -3*s + 3, 5*r + 7*s - 3*s = 49. What is the greatest common factor of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -68*h + 547. Calculate j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + -3.700585. What is y rounded to 5 dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0782463 and -282.\nAnswer: -282.0782463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40528362 divided by 2894883?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 19200.30116 to the nearest ten.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 299 + 56 = 0. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 11*x + 255. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Let w = 2 - r. Solve x = -3*x + w*n - 24, 4*n = 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:28 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - 9.05. Let c = -18 + 13. Let v = n - c. Sort v, 4, 5 in descending order.\nAnswer: 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011000010100 + -11101111?\nAnswer: 10001010100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15442991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*c**3 - 603*c**3 + 2526*c**3.\nAnswer: 2238*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - -4) + (-43)\/5)\/(2112\/(-640))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -7\/6*l**6 + 2\/3*l**2 - 4\/3*l - 9 - 29\/15*l**5 + 17\/12*l**4 + 11\/3*l**3. Determine i, given that t(i) = 0.\nAnswer: -1, -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from oogooojggjjnojjglgoo?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2975 and 6849725.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, -24, -71, -136, -219, -320?\n\"Answer: -9*n**2 - 2*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 494*a**3 - 4*a**2 + 3*a**2 - 484*a**3 + 956*a**3 - a in the form b*a**2 + i*a + d*a**3 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence err when three letters picked without replacement from {r: 11, e: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66634?\nAnswer: 2, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 16. Suppose 0 = -4*u + w + 49. Suppose 0*k = -5*k - 5*b - 5, -4*b = -2*k + u. Solve 5*d = p + 24, 3*p - 1 = -k*d + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -620361*c**2. Let w(z) = -18*z**2. Determine r(w(j)).\nAnswer: -200996964*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 15*q + 6. Let l(d) = 2*d**3 - 31*d + 13. Give 6*l(w) - 13*p(w).\nAnswer: -w**3 + 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**3 + 65*i**3 - 43*i**3 - 221*i + 221*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 265825026508\/2122749027 - 676\/1773391. Let d = m + 230\/171. Let x = d - 124. Find the common denominator of 37\/3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 68. Suppose 2*v - 58 = -5*n - 2*v, 2*v - q = -n. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 2. Let y be j(-3). Let v be (y - 8)*(-1)\/2. Solve -v*z + 4*h + 5 = -5, -3*z + 3*h = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -40, -64, -84, -100?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-58)\/(12470\/(-43)))\/(1\/((-10)\/6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1159, 2257, 3283, 4237, 5119?\nAnswer: 5929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkvbjjkkj. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a34 (base 13) to base 12\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0*a**(-2\/7))\/(a*a**0*a*a)**(-5))\/((a*(a\/(a*a\/(a*a\/(a\/a**1)*a)))\/a)**38*(a**(-1\/3)\/a)\/a*a**6) assuming a is positive.\nAnswer: a**(-1343\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 1:27 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11 - 14*h**3 + 30*h**3 - 5*h**3 + 2*h + 7*h - 11*h**2. Let v(t) = -5*t**3 + 5*t**2 - 4*t - 5. Give -4*m(i) - 9*v(i).\nAnswer: i**3 - i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n - 125. Let m be v(-16). Factor -80*i**2 - 24*i + 3*i**m + 0 + 101*i**2 + 0.\nAnswer: 3*i*(i - 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2439 and 18357?\nAnswer: 14924241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11955 - 0.125. What is r rounded to four dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-5 + sqrt(32) + -2*sqrt(32) + 1)**2 + (sqrt(250)\/((sqrt(200)\/sqrt(4))\/sqrt(10)))**2.\nAnswer: -128*sqrt(2) + 8243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1734\/(-3315) - 2\/26.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.07296 years?\nAnswer: 0.207296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/2 + 15*l + 18. What is the derivative of v(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.11 times -8?\nAnswer: -88.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22437697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 481521.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 62.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + -102. Suppose -4*l + 4*r + y = 0, l = -2*l - 2*r + 14. What is the smallest common multiple of l and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - d - 26 = 0, -5*n = 4*d - 16 - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -1003303?\nAnswer: 1003400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 26097.2 milliseconds?\nAnswer: 26.0972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395 and 7749979.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035032?\nAnswer: 2, 7, 11, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1)\/1*2. Let z(q) = -q**2 + 8*q + 38. Let f be z(-3). Suppose x = f*w + 20, x = -4*x + w + 4. Solve -3*m + 7*m - k = x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2006 - 1983. Solve -3*z = 3*h - 15, l = 4*h + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -28. Let f be (6 - 7)\/(-1 + y). Let p(n) = 7*n**3 - n**2 - n - 1. Calculate p(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by -304378\nAnswer: -81\/152189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from sssmsmm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-10)*292\/30 + -5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 + 10*o**2 + 4*o**2 + 535*o - 6*o**2 to the form h + i*o**2 + j*o and give j.\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -777099483.\nAnswer: -777099482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 + -120. Let y = c - 74.38. Round y to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.44 and -248.05.\nAnswer: 853.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 85878.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 4)*(3 + 4\/(-3)). Suppose -j*w + 349 = -951. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3090514*k + 37. Let b(q) = -3*q. Calculate w(b(x)).\nAnswer: -9271542*x + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 80. Suppose 0 = 6*i + 19 + 11. Let v be ((-20)\/16)\/i + (-357)\/(-28). List the prime factors of s(v).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) 181448 (c) 1\/11 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0bb (base 12) in base 16?\nAnswer: -440f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + j + 0*j + (-2 + 4 - 1)*(-1 + 1 + 2*j) + j + 2*j - j + 5*j - 2*j - 4*j + (-5*j + 0*j + 3*j)*(0 + 2 + 0).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137709 - -4545107\/33. Let u = 64\/3 - o. Let y = -43 + 43.5. Sort y, u, -5 in ascending order.\nAnswer: -5, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48\/72*-3 + (-10099)\/(-1)?\nAnswer: 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**41\/q*q*q**(-26) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 366*g. Let j(z) = 10515*z**2. Determine j(r(w)).\nAnswer: 1408547340*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 954 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 4*j**2 + 5*j + 6. Let c be q(-3). Suppose c*f + 3*f = 5*h - 13, 2*h = 2*f + 6. What are the prime factors of 88 + (f + 1)*7\/(-14)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = -2*x, -4*w + x - 4*x - 3 = 0. Find v such that -15*v**4 - 15*v**w - 3*v**3 + 8*v**3 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1372 + 15?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1568\/6*(750\/875 + 1110\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*w + 7 = -0*g, g - w + 3 = 0. Let y = -2 - g. Let m(v) = -3*v + 1 - 2*v + 4*v + y*v. Calculate m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d + 16. Suppose 2*s = 6, 3*i + 4*s - 20 + 5 = 0. Solve d*w - w + 5*t = 9, -t - i = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1361352 and 951.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059460355 to the power of 1\/2, to the nearest integer?\nAnswer: 32549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4258.\nAnswer: 2, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3385 - 1735 = -10*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*t + 8, 4*t + 7 + 1 = 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 y = -137 - -74. Let a = 75.40993528 - 12.409934. Let n = y + a. What is n rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h - 31. Let i be f(-9). Let u = i - 47. Let l(t) = 2*t + 7. Let s(n) = 4*n + 15. Give u*s(j) + 13*l(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6992*p**3*s - 110*p**3 - 119*p**2*s - 724*p**2 + p - 2*s - 1 wrt p.\nAnswer: -41952*s - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 3 - (15 + -22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*v + 2*v. Does 13 divide 19*v - (4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.3, 4535, -2\/9, -4\/3, -4.\nAnswer: -17.3, -4, -4\/3, -2\/9, 4535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - n**3 + 1)*(-1 + n + 1 + (2*n - 2*n + 2*n)*(-1 - 1 + 1)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 (base 5) in base 6?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6*t**4\/17 - 443594*t**3\/17 + 9460770*t**2\/17 - 11973622*t\/17 + 2956440\/17 = 0.\nAnswer: 1\/3, 1, 20, 73911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 102. Suppose -2*z + 30 = 2*z + 5*n, -3*n = 4*z - l. Solve -p = -3*p + z, 0 = g + 3*p - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2844108 divided by -1588.\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 32, 55, 98, 167, 268?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*10\/175)\/((-888)\/333).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111839 is divided by 37275?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2087 + -2082. Solve -21*t + 26*t - 19 = -f, -t = -2*f + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4 - (-70)\/15 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15623 take away 0.1151?\nAnswer: -15623.1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14163497\/43 at most as big as -329384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 0, -19*p + 4*q = -22*p + 12. Let y(t) be the second derivative of t**4\/12 - 2*t**3\/3 + 9*t**2\/2 - t. List the prime factors of y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 9*v + 6. Let c be g(8). Suppose 5*n + 4 = c. Calculate the remainder when n is divided by -1 - (1 + 1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530510 - 157107*s**2 + 157106*s**2 - 530510.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(6\/11)\/g)\/(g*((g\/g**(-3))\/g)\/g*g)*(g**2\/g)\/(((g*(g*g**(1\/3))\/g)\/g)\/g))\/((g\/((g\/(g**(-2\/9)*g)*g)\/g*g))**(-45))**(-10\/11) assuming g is positive.\nAnswer: g**(208\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 37*k**2 - 141*k - 28. Let c be o(-5). Solve c*j - 5*a - 1 = 0, 32*a - 4 = 36*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479695 is divided by 16269.\nAnswer: 7894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -37*u - 627 + 656, 5*p = 4*u + 6*p + 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 4. Let i be r(0). Let t be (3\/(-1))\/(-3 - i). Let o = 2 + -2. Which is the biggest value? (a) o (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888 + 888 + 15*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -3. Let y(p) = -1. Let i(a) = -a**2 - 7. Let w(r) = -i(r) + 4*y(r). Let m be w(0). What is the highest common divisor of m and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3771 = 4*a, n - 4*a - 944 = 2867. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/4 + 32409*m\/4 - 6409005\/2 = 0.\nAnswer: -11185, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1)**(-18)\/((b\/b**9*b)\/(b*b\/(b\/(b*b**(-3))))) assuming b is positive.\nAnswer: b**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19) - sqrt(76)) - ((sqrt(931)*2)**2 - sqrt(19)).\nAnswer: -3720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h - 410380 = -h. What is the tens digit of ((-2)\/7 + h\/238)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22833 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-140)\/(-15) + 1\/(-3). Let f = k - -1. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1475\nAnswer: 4\/1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + w**2 + 12*w**2 + (2*w + 0*w - 3*w)*(4*w - 2*w - w) + w**2 + 3*w**2 + w**2 - 163 - 11*w**2 + 163.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let j(n) be the first derivative of 75*n**2\/2 + 2*n + 399. Determine w(j(x)).\nAnswer: 75*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188.1 - 187.1. Which is the closest to n? (a) 2\/3 (b) 5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 12. Calculate the remainder when (-52)\/(-14) - (-2)\/o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1860, 3740, 5632, 7542, 9476, 11440, 13440, 15482?\nAnswer: 17572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1036)\/(-35) + (-2)\/(-5). Determine p, given that -o*p**4 - 2*p**2 + 14*p**3 + 68*p**5 - 120*p**5 + 70*p**5 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o - 2. Let g(n) = -2 + 3 - 7*n - 4. Let v be (-4)\/(-6) + (-17)\/3. Give v*m(x) + 3*g(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -6\/13 - 2\/13*i**3 + 10\/13*i - 2\/13*i**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*x - 117*x + 14*x + 2)*(4*x + 8*x - 4*x) - x - 2*x**2 + x.\nAnswer: -394*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*k - 67, -3*k = 5*c - k - 140. Let z be 225 + (7 - -9 - 7). Calculate the greatest common divisor of z and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 658 - 637. Solve f*r - 16*r + 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.44198t in nanograms?\nAnswer: 52441980000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 1944272 - 201712 = 0. What is y rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as -14877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -28?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 19 - 7. Let d(t) = 8*t**2 - 7. Let i be d(u). Suppose v = -4*v + i. Solve v = 5*c - 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12915140279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134032404 (base 6) to base 4.\nAnswer: -22111233310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12100357 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 722.336 years?\nAnswer: 72.2336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 11*v**2 - 4*v - 2. Suppose -3*a + 18 = -0*a. Suppose 4*q + a - 46 = 0. Is m(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352304938?\nAnswer: 2, 181, 3735649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18021, -5, 4, -424.\nAnswer: -424, -5, 4, 18021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21355 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 367 - 366.8. Let i be (-17)\/(-4) + (-1)\/4. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6852)\/(-15417))\/(8\/27)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 10546 = -10*n + 3*a, -2*n + 3*a = -5246. Is 2632 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/690030 and 49\/143910.\nAnswer: 26911170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4500 and -0.4.\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*h**3 + 102*h - 102*h + 133*h**3.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 644\/(-14490) + (-158)\/(-180). Which is the nearest to k? (a) -5 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-316)\/12)\/((-14)\/(-504)). Which is smaller: y or -950?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 11*v - 10. Let b be w(9). Suppose -3*g = g - 5*j + 9, j - 13 = -2*g. What is the derivative of -m**3 + g - 1 - 20 + b*m**3 wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 7*x - 15. Let r = 17 - x. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1)**30\/((m**(-3\/13)*m)\/m*m**(-3\/10)) assuming m is positive.\nAnswer: m**(7869\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195\/988844 - 40611543155\/13955555372. Let s = -3\/2566 - m. Factor -s*t**3 + 30\/11*t + 4\/11 + 48\/11*t**2.\nAnswer: -2*(t - 2)*(4*t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10\/9)*z*z**7*z)\/(z**(3\/19)\/z*z\/(z**(-2\/19)\/z)*z) assuming z is positive.\nAnswer: z**(962\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/(-48)*5 - 96\/(-32) and 27\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.4 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14121?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 - (21 - 31)) + 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/27 - 2\/4)*-7265. Let i = 1216 + n. Calculate the common denominator of i and 107\/10*(5 - 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, -4, -0.4, -10\/13, 1434?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)*u**(-1\/3)*u)\/((u*u*u**(-1\/6))\/((u*u*u*u**(-4)*u*u*u)\/u)))**(-40) assuming u is positive.\nAnswer: u**(620\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 4*u)*(4755 + 12974 - 3182 + 3462 + 2148).\nAnswer: 40314*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 18. What is the highest common divisor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 576, 1928, 4556, 8886?\n\"Answer: 71*j**3 - j**2 + 8*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.753792km?\nAnswer: 9753792000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63338966 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - u - 2. Let y be w(2). Let s be 12\/(-2)*(-1 + -1). What are the prime factors of ((-69)\/y)\/(3\/s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/2*(-28)\/(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 165a + 3?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okoooookoohooo. Give prob of sequence hk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73546574*x**4 - 2*x**3 + 2*x**2 + 319844*x - 36.\nAnswer: 1765117776*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 17588*f**2 - 19359964*f + 57921708.\nAnswer: -4*(f - 2197)**2*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/264)\/((-1)\/9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3214*c + 1076674. What is t(335)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 9:38 PM?\nAnswer: 614","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, 0 in descending order.\nAnswer: 4, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23006, -19818, -16626, -13430, -10230, -7026, -3818?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 288 - 253)*(m**2 + 0 + 0 + (0 + 0 + 2*m)*(3*m + 3*m - 5*m) - 4*m**2 + 8*m**2 + 0*m**2).\nAnswer: -4242*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8808.000013158 - -8808. What is t rounded to 7 decimal places?\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 3. Let t = 15 - f. Let d(s) = -s**3 - 7*s**2 - s - 6. Let y be d(-7). Which is the second smallest value? (a) 0.5 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712037921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -818 + 1295. What is the least common multiple of q and 530?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -161*a - 179*a - 5125 - 1335 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 8:27 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -465 + 8833\/19. Which is the nearest to 1? (a) -0.1 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/(-4) - 10) + 8. Solve 4*u = -4*y + f, -5*u + 5*y + 10 = -5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 4. Suppose 2*z = 3*z - 4. Let o(g) = 6*g + 9. Suppose -2*p + 45 = 3*p. Let d(a) = p*m(a) + z*o(a). Let n(h) = h**2. What is d(n(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t - 4*o + 7000, -6998 = -4*t - 5*o. Let u = t + -670. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980\/(-686)*16\/10 + (1 - 2) + 2?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29354?\nAnswer: 2, 13, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 879*d - 72 = -881*d, 4*d = 8*m + 156 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*g + 1289456 - 1289161. Determine b, given that -4*b + 0 + 1\/4*b**g - 13\/4*b**4 - 47\/4*b**2 - 45\/4*b**3 = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/506 and -45\/322.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*k = -25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - -8)\/(1\/(-3)). Suppose -4*z - f = -3*d - 4, -3*d - 3*z + 3 = 0. Let n be ((-1)\/d)\/(17\/51). Are n and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2269, -4380, -6229, -7816, -9141?\n\"Answer: 131*m**2 - 2504*m + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(1\/21))*p*p**(-3)*p*p assuming p is positive.\nAnswer: p**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 2*u - 6. Let j be a(-3). Let p(f) = -f**3 - 9*f**2 + 2*f + 16. Let n be p(j). Put -4, n, 3\/8, 1 in decreasing order.\nAnswer: 1, 3\/8, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -3\/4, 0, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/114 - 1 - (-40)\/19)\/((-30)\/(-420))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 31 = 6*j. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z. Suppose z*u - 3*u + 12 = 0. Suppose 3*v = 3*t - 153, -3*v - 212 + 5 = -u*t. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b. Suppose -1 = 2*v - 5*c, v - 5*c + 8 + b = 0. What is the remainder when 12 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 119 (c) -6 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-78))\/(403\/((-916825)\/(-350))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338918918.\nAnswer: 2, 13, 277, 47059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 - 3\/1 - 3. Sort u, -3, -1\/4 in increasing order.\nAnswer: -3, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -99. Let g(l) = 2*l - 3. Let y be g(3). Let q be y\/i - (-1)\/(-5). Which is the nearest to -1? (a) 1\/6 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6412 is divided by 2579.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.31 + -40.6. What is n rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 - 12*f**2 - 29*f. What is the hundreds digit of c(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*c = 5 - 8, -4*u = c - 7. 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: Calculate the common denominator of 19\/5482092 and -27\/9724.\nAnswer: 71267196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 146959475 to the power of 1\/2, to the nearest integer?\nAnswer: 12123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2 + -9 + 2. Let v = -6 - c. Suppose 4*g + g + j = 71, -29 = -v*g - 4*j. Calculate the remainder when 102 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 966 and 4132548?\nAnswer: 4132548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 7045058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4 + 1. Suppose 5*g = 5*o + 76 + 104, x*g - 96 = -3*o. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(700) + 2*sqrt(700) + -2)*5*3*3)**2.\nAnswer: -8748000*sqrt(7) + 459561600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshhhssh. What is prob of picking 1 s and 2 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -34db00c?\nAnswer: -34db011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3220512*b**3 + 0*b**2 - 1610246*b**3 - 1610265*b**3 + 5*b**2 - 5*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -59588?\nAnswer: 59588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1563717.9ms to minutes.\nAnswer: 26.061965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g - 6*g - 165 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 7:50 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-8)\/(-1632))\/(1113\/(-168) + 6)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/550 and 2\/10 + (872\/(-70) - -11).\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000346916 rounded to 6 decimal places?\nAnswer: -0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*266.4498.\nAnswer: 266.4498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*d = -30550 + 33592 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1012.7807.\nAnswer: -1012.5807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 9*v**2 - 4*v + 10. Let k be q(-6). Let r = k + 107. What is the second derivative of -s**4 + 6*s**4 + 7*s - r*s wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-199 - -643)*643\/12?\nAnswer: 37, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-18)\/(-48)*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 8241900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -7\/2*n**2 + n - 2 + 1\/6*n**3. Let g(i) be the first derivative of w(i). Determine g(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -21*t**3 - 5*t**2 - 21*t - 14. Let a be c(-4). What is the highest common factor of a and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 1 + 1 + (-3*r + 4 - 4)*(3 - 1 - 3) + 2 - 2 + 3*r - 3*r + 0*r + r + (-r + 4*r - 5*r)*(-3 + 1 + 3))*(-35 + 35 + 17*r**2)*(-2 - 2 + 6).\nAnswer: 102*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 13)*48\/56. What is the smallest common multiple of 10 and ((-16)\/o)\/(6\/9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/6)\/((-1)\/6). Let t = p + 15. Suppose -196 = -3*q + 4*s, -12*q - 5*s = -16*q + 262. Calculate the remainder when q is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2 - -7) + -6)*-67. Let n(a) = -h*a + 126*a - 62*a. Let u(q) = 44*q**2 - 2. What is n(u(t))?\nAnswer: -132*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6306, -14405, -24300, -35991, -49478?\n\"Answer: -898*i**2 - 5405*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 3.547 (c) -3 (d) -1.5 (e) -2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 5)\/(-1 + 3). Let n be 2\/(-8) + (s - 0). Which is bigger: -1\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 46*w - 45*w - 3, -b - 4*w + 12 = 0. Solve b = -v + 18*v + 51 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 6356, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.089 in -2\/7, 0.6, 2\/3, 2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41\/(-7) + (-5516)\/196 + 28 - -64727?\nAnswer: 61, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 3218?\nAnswer: 3218.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221869213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v - 26. Let x be i(-5). Let l be -1 - -1 - (-7140)\/(-5). What is the units digit of (14\/(-4) - x)*l\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 77*d. Let t(r) = -269*r. Let c(f) = -14*p(f) - 4*t(f). Let k(z) = 7*z**2 - 350. Determine k(c(s)).\nAnswer: 28*s**2 - 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -47?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, q: 1, l: 2, e: 1, r: 1}. Give prob of sequence as.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z + 52 + 480. Let l = z + 108. Calculate the greatest common factor of l and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(21\/(-7)))\/(1683\/(-242) - -7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319089 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: Let z(u) = 11*u + 114. Suppose -5*i + 16 - 66 = 0. Let n be z(i). Solve n*a - 6*a + o + 4 = 0, -2*a = 5*o + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-1496)\/(-51)*(-45)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -407*a**3 + 9495 - 5*a**4 - 50*a**3 - 231*a**3 - 58480*a + 19405 + 30264*a**2 + 9*a**4.\nAnswer: 4*(a - 85)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let a(k) = k**2 + 55028*k. Calculate a(u(s)).\nAnswer: 4*s**2 + 110056*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/82413921 and 101\/33684.\nAnswer: 2307589788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/((-18)\/24). Let b be 6\/8 - (-7)\/4. What is the second biggest value in b, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.12 - 19.12. Put 12.8, -0.5, 0.4, g in ascending order.\nAnswer: -0.5, 0.4, g, 12.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3 + 592*s - 587*s + 2. Let i(b) = b - 1. What is -f(c) - 4*i(c)?\nAnswer: -9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.2. Suppose 6 = 2*t, -m - 6*t = -3*t - 13. Let a = -4972 - -4970. What is the nearest to a in p, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270 - 995689786?\nAnswer: -995692056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = -370172 - 472471 - 479637. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -20*j**2 + 13*j**2 - 20 - 38*j**2 - 16*j + 31 - 11*j**2. Let b(v) = 11*v**2 + 3*v - 2. What is -11*b(a) - 2*y(a)?\nAnswer: -9*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 444 - 904 + 453 - 8*s - s**2. Let n = 16 + -23. Let z be m(n). Solve 2*v = -z*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1ae1aeb?\nAnswer: -1ae1ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 256 = 3*g, -228 = b + b + 4*g. Let a = b - -186. Suppose 59*t = a*t - 855. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 - (-1 + 229). What is the common denominator of ((-1)\/16)\/((-33)\/(-6116)) and t\/28 + (-5)\/(-20)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*-1 + -3*sqrt(65)*-5 + sqrt(65))\/(sqrt(5) - ((-3*sqrt(10))\/sqrt(2) + sqrt(5)) - sqrt(30)\/sqrt(6)*-2)*-6.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q**2 - 4*q + 10. Let y(s) = 7*s**2 - 3*s + 7. Let a(u) = 5*v(u) - 7*y(u). Let d(b) = -3*b**2 - 5*b - 3. What is -2*a(w) - d(w)?\nAnswer: w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 0, -2, -73, -29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5075, 20311, 45705, 81257, 126967, 182835, 248861?\nAnswer: 325045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3255\/140 - 17)*14\/35?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112405105 - -5?\nAnswer: -112405100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11688, -11504, -11198, -10770?\nAnswer: -10220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -1*(sqrt(152) - sqrt(152)*-3))\/((sqrt(8) - sqrt(48)\/sqrt(6))*-5 - sqrt(8)) + (sqrt(228)\/(sqrt(6) - sqrt(96)))\/(sqrt(98)*2))**2.\nAnswer: 296875\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -19.2. Let y = 0.2 - a. Let k = -0.8 - -0.5. What is the closest to k in y, 2\/9, 3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198957837 take away 120627?\nAnswer: -199078464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose -f + 2*x - 17 = 0, 3*f = -x + 2*x - 31. Let c(i) = -i**3 - 9*i**2 - 5*i - 40. Let v be c(f). Solve v = 3*j + s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1690, -9245, -22666, -41953?\nAnswer: -67106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.2 - -32.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5317?\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(102\/18870*37)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85401907027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 120 = -3*c. Let s be c\/21 + (-6)\/(-21). Is 3 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*o - 285*o**4 - 18*o + 89*o + 79*o + 33*o wrt o.\nAnswer: -3420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41\/3 (b) 0.2 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -1319\/21. Is y bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*l = 234*l + 269*l + 817 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 2\/161, -7, 2\/13, -1.3, 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*f + 10 = -f, 4*f = 0. Let x(g) = -g + 2*g - h*g - 3*g. Let j(c) = 2*c. Give x(j(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 124\/16 + (-2)\/(-8). Suppose 0*v = -2*v + 2, 3*v = -q + a. Suppose 0 = -q*j - 15, 2*j - 3 + 17 = 2*d. What is the lowest common multiple of d and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3\/90*(1926\/(-3210))\/((-18)\/40)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*o - 2079. What is the smallest common multiple of o and 324?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:45 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 167094413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59790 - 59790 + 10*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -8.2.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 2*r + 5*r - 38*r**2 - 12*r**2.\nAnswer: -50*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-5) - 2\/10. Calculate the smallest common multiple of y - -1 - (-8)\/2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267703 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -12.021. Let g = 0.021 + i. Does g = 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -468*-0.27\nAnswer: 126.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 34. Let o = 16 + i. Is 14 a factor of 54*(-2)\/o - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - 2) + 186\/94 + -11. Let h(c) = c**2 - 4*c - 1. Let r be h(4). Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 14, i: 4}. What is prob of sequence qq?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 303714\/13 - 23362. Which is bigger: n or -13\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/9 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 801*u - 786*u - 120 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2\/93 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21623 + -21598. What is the remainder when 72 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0*y**3 + 353*y - y**3 - 7.\nAnswer: -y**3 + 353*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 143 and -400.2.\nAnswer: -257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(12\/(-2) - -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 22*o - 5*f + 1 = 0, 3*o - 5*f = 1. Suppose -12 = -3*b + o*d, 5*b - 10*b + 3*d + 19 = 0. What is s in -1\/4*s**3 + 0 + 0*s - 5\/4*s**b = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 - 1.97. Let c = h - -2.77. What is c rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -11. Let t be (-6)\/(-1)*19\/76. What is the nearest to 1\/2 in -0.4, q, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -174.4210587 to two dps.\nAnswer: -174.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = -4*j - 1, -2 = -3*f + 2*j. Suppose -2*p = 2 - f. Let z = 1 + p. Round z to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 5*k - 2*k)*(6 + 13*k - 25*k - 6*k)*(34318*k + 42*k**2 - 34318*k) as h*k + w*k**2 + x + j*k**3 + s*k**4 and give j.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 15\/32 (c) 2 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*j**3 + 88*j**3 + 9244833 - 9244833.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c + 98. Calculate x(15).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176 at least 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -63 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1160, 2321, 3482, 4643, 5804, 6965?\nAnswer: 8126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 215 = 39. Let g be (5 - 72\/b)*8. Solve i = 4*o - 6, o + 10 = 2*o + g*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + 5. What is the lowest common multiple of n and 11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -235080*m + 235076. Determine s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1802 - 1271. Suppose 5*a = -4*p + 1114, -2*a + d - 95 = 4*p. Suppose 4*j = 130 + a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjyieaye. Give prob of picking 1 a and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/13815 and -119\/99468.\nAnswer: 497340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -212943 and -638830\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 138610 + 33505 = -12*s. What is s rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 31008?\nAnswer: 31008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -55770000 rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 277 + 157 - 5 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1224 in -1237, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.220573 rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 152 - 4?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-45))\/(0 + 4\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 89*p**2 + 990*p - 19. Give i(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 88, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 43868*i + 6 - 2 + 43750*i - 2 to f + k*i and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 2*k - 5. Let c be d(4). Let p(f) = -f + c - 1 - 2. Let x(w) = 3*w**2. Give p(x(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*2 + 2 - (sqrt(931) + 0 + -5))*-2)**2 + -1.\nAnswer: 392*sqrt(19) + 3919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227390 is divided by 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 8696*m + 60900. What is a(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 128*s**2 + s + 2. Let d be g(4). Let j = d + -8265\/4. Find the common denominator of 103\/14 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 100. Let m = b - -77. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q**2 + 13*q**2 + 2*q**2 - 2*q**2. Let s(p) = -325 - 8*p + 5*p + 4*p + 0*p. What is c(s(z))?\nAnswer: z**2 - 650*z + 105625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqib when four letters picked without replacement from {i: 5, d: 1, q: 11, b: 2}?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 898377, 1796761, 2695145, 3593529, 4491913?\n\"Answer: 898384*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -32*y + 461. Solve 4*k + y = i + k, 5*i + 3*k = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-4)*r*r)\/r**(-1))**(1\/4))**(-2\/17))**47 assuming r is positive.\nAnswer: r**(47\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t - 18*t - 3*t**3 + (t - 3*t - 9*t)*(0*t + 2*t**2 + 0*t) to h + j*t**2 + o*t + s*t**3 and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**3\/3 - 9*x**2\/2 + 6*x + 2. Let z = 11 - 6. Calculate the least common multiple of p(9) and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/7)\/j**(3\/5)*j**(1\/5)\/(j\/j**(-2)) assuming j is positive.\nAnswer: j**(-114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 7b6?\nAnswer: -7b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Suppose -d - 4 + 27 = j*i, -21 = -4*i + 3*d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -15. Let w(j) be the third derivative of 1\/60*j**5 + 1\/168*j**8 + 0*j**3 + h + 0*j - 1\/210*j**7 + 1\/24*j**4 - j**2 - 1\/40*j**6. Factor w(y).\nAnswer: y*(y - 1)**2*(y + 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, 4, -4.\nAnswer: -4, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1636960*d**2 - 818418*d**2 - 818543*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 190771360?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-546)\/28 + 20)*96\/6624?\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/18 + 11 + -14)\/((-12)\/(-144)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + -3.03. Let j = 13 - 8. Let s = 4.8 - j. Sort d, s, 0.4 in descending order.\nAnswer: 0.4, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*b - 120, 0 = 2*b - 8*y + 11*y + 58. Let p = 62 + -43. Let n = p + -45. Is n smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556 + 566. Solve -i = 4*j - h, -6 = j + 3*j - 3*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 2, -5\/7, 7\/1594, 3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/1275)\/((-4)\/6)*(-14920)\/373.\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.4 + 0.198\nAnswer: 7.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17481678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294244683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o + 1. Suppose a - 2*a + 1 = 0. What is i(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let m = o - -5. Suppose -14 = -m*u - 4. Calculate the least common multiple of u and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -101625\nAnswer: 203250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from uuuuaruuura?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -339.\nAnswer: -135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106229.\nAnswer: 19, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1088)*5)**2 - sqrt(1088) - (sqrt(1088) + 2)*6.\nAnswer: -456*sqrt(17) + 27213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 376727960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12113310*f**3 - 24223296*f**3 + 12109983*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 79. Let v be 7\/(q\/8)*2. Differentiate -34*l**4 + 0 + v + 32*l**4 wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205 - 76. Suppose 5*v + m = 49. Is v\/12*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384*a + 2*a**6 + 0*a**3 + 382*a - 317*a**2 + a**3 wrt a.\nAnswer: 240*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 110430?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401945 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2313*v - 4*v**2 + 1216*v + 0*v**2 + 1097*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6) + 3 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-137)\/16 - (-86 - 67221\/(-792))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -5. Let x = -8 + n. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 17. Determine n(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 1. Let w be (0 + i)*(-18)\/45. Solve -2*j - w + 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) -222 (c) 0.3 (d) -17\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 6, n: 8, u: 2, m: 1}. Give prob of picking 2 e.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -818, -1635, -2450, -3263?\nAnswer: -4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1612 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:48 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -668 from -0.4.\nAnswer: 667.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/258632 and -71\/78835736.\nAnswer: 867193096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048*r + 1299*r = -1256*r + 36892 - 3738 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/66 and -101\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9*n = 50202, -q - 66856 = -5*q - 4*n. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 17*w - 6*w + (0 + 1 - 2)*(-w + 0*w + 3*w))*((-w**3 + 0*w**3 + 3*w**3)*(-w + w + w) - 2*w**4 + 0*w**4 + 3*w**4).\nAnswer: 45*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 - 5*d + 5. Let l(c) = c**2 - 1. Let h(w) = 4*l(w) + r(w). Let o be h(7). Solve -4*m - o = m + 5*p, -3*p - 17 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2399 by -494.\nAnswer: 2399\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010113537 to 5 decimal places.\nAnswer: -0.01011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = -5*t, 0*t + 2*v = 3*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-6))\/(42\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(5) + (sqrt(5) - (sqrt(5) + ((sqrt(5)*2*-6 + sqrt(5))**2 - sqrt(5)))) - (sqrt(20) + 2*sqrt(20) - sqrt(20))**2*5.\nAnswer: -1008 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220200231 (base 4) to base 8.\nAnswer: -504055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9\/4)*((b**41\/b)\/b)\/b*b*b)\/(b**0*b*b**(6\/7)) assuming b is positive.\nAnswer: b**(1005\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 23 + 7 = 0. Suppose 11*l + 5 = q*l. Let p be (-2)\/78*2*3. Is p bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16494 and 276.\nAnswer: 4552344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 + 5*v**3\/6 - 7*v**2 - v. Let x be y(-7). Solve 3*d + l + 10 = -x, 2*d + 8 = -2*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041222128 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/77)\/((-495)\/2310).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*r - 4 = 0, -4*l + 8*l = 5*r + 3. Suppose 4*n = l*i - 34, 2*i = 3*n - n + 44. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3482.96 + -3483. What is the second smallest value in u, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**3 - 43*w**2 + 677*w + 4144. What is a(-6)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7.26. Let t = u + 0.06. What is the third smallest value in -1\/8, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.715 - -2.285. Which is the closest to 0.2? (a) -0.4 (b) -0.2 (c) j (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:44 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 75098496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/3 - 75944*y. Let x(q) = 235*q**2 + 2*q - 2*q. What is b(x(t))?\nAnswer: -470*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 78*o + 422. Let g be c(-34). Is (g\/30)\/(2\/(-114)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -4)*(1 + 0). Suppose i*j + 5*a - 30 = 0, -2*a + 22 = 5*j - 20. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l + 2*l + l. Let n(f) be the second derivative of f**4\/6 - 28*f**2 - 32*f. Let a(d) be the first derivative of n(d). Calculate a(h(z)).\nAnswer: 48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 56 + 32. Let o = u - -20. Suppose -20*s + 70*s**3 - o*s**2 - 50*s**3 + 0 + 8 = 0. What is s?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196339.\nAnswer: 11, 13, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5278\/147 - 12\/(-126))*(-260)\/(-78)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/5472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 466*20*(2 - (-9)\/(-6)). Suppose 13*p - w = 11*p. What is p rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -2 + 0 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 - 4*o - 5. Let s(y) be the first derivative of y**4\/4 + 17*y**3\/3 - 11*y**2\/2 - 14*y - 3653. Determine -8*m(u) + 3*s(u).\nAnswer: 3*u**3 + 3*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5056027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, b: 9}. Give prob of sequence ob.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -23*n**2. Let i(u) be the first derivative of -3*u**2\/2 + 19. Give y(i(j)).\nAnswer: -207*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 5 + 17 + -11 + -14 - -10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31104 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 39) + 17 + 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(304) + -2 - (0 + (sqrt(304) - (sqrt(304) - (sqrt(304)*-2 + -1) - sqrt(304)) - sqrt(304)))) + 4)**2.\nAnswer: 288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 3 = -10*k + s, -s - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 5\/((-10)\/(-4)). Suppose 4*q - 52067 - 21373 = k. Let j = q - 53360. Round j to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + ((-5)\/3 - (-2)\/3). Suppose -4*v + j = -3*k, v + v - 4*k + 4 = 0. Solve v*q = -y - 11, -q - 5 = 2*y + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21907235 - -11?\nAnswer: 21907246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in 1, 4, -168?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2. Let k(q) = -q + 5*q + 0*q + 7*q. Determine l(k(w)).\nAnswer: 121*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 218*w + 3. Suppose -14*c + 1 = -13*c. Is y(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 67. Suppose -m*h - 13 + 61 = 0. Let v(u) = -u**2 + 9*u - 2. Calculate the lowest common multiple of h and v(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/33*-12 + (-22)\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(30\/41490). Let v = -3 + i. Is 43 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 1\/2, 548?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 78760311423.\nAnswer: -78760311423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-14))\/(2\/7). Let d be (260\/(-25))\/(c\/(-5)). Suppose -8 - d = -2*f. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llplhhhllhpplllh. What is prob of sequence hhhp?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51446026 divided by 51446026?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 384. Let l = a - 140. Let w = -100 + l. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - j. Let o be 0\/(-3 - -1 - 4\/(-1)). Suppose -u - 6 = 5*h - 5, -5*h + 3*u - 17 = o. Let i(c) = -c**2 - 2*c. What is h*i(s) + 2*w(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/60 + (-3466)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -22\/633?\nAnswer: -22\/633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8395 + -3?\nAnswer: -8398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 less than -14425354.56?\nAnswer: -14425120.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -340 divided by 241171\nAnswer: -340\/241171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/9 - -1)\/(-2). Let l = 7 + -3. What is the nearest to 0 in -3, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.2. Let a = 53 + -55. Let v be -3 - a\/((-78)\/(-123)). Sort s, 5, v.\nAnswer: s, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0523 + -0.5897. Round a to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + v + 7 - 1 + 3 - 3 + 2*v + (-2 + 0 - 1)*(v - 4 + 4) as z*v + l and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiikkkikikiiiiikkki. Give prob of picking 4 k.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1689 - 1173. What is the highest common factor of 129 and i?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*f + 3*u, -5*f = -10*f + 5*u - 30. Let s(g) = -g**3 - 5*g**2 + 4*g. Let x be s(f). Suppose -266 = -2*k - x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62852 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/3 + 5*n**2\/2 - 16*n. Let u be 3*-2*(2 - 1). Let o(x) = -2*x - 11 + 5*x + x. Give u*o(m) - 13*y(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 74*g - 6*g**2 + 11*g**2 - 2 - 4*g**2 - 2.\nAnswer: g**2 - 74*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 323 + -286. Suppose a*r = 216 + 117. Let p(j) = j**3 - 8*j**2 - 10*j - 2. What is p(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 14, m: 4}. What is prob of picking 3 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 2, g: 1, d: 3}. What is prob of sequence gdh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9330 equal to -9083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1150 divide 580380713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -481 + 559 + -3 + -54?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 288 (b) -4 (c) -2\/3 (d) 0.2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 15*n + 30. Let v be z(12). Let h = v + 20. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - c + 3*c + 2, c + 3 = 3*y. Suppose f + f = -y. Let b = -559 - -556. Sort f, 15, b in decreasing order.\nAnswer: 15, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-21)\/(-7)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1423722 by 1.\nAnswer: 1423722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439\/2 + 218. Let p = 23 + -25. Which is the closest to 0? (a) p (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = -3*n. Let d = 1 - -13. What is the remainder when d is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 4*m - 4. Let q be g(-5). Let z(y) = -3*y - 12. Let c be z(q). Is 2 a factor of 2\/(1 - 9\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.115242209 to 4 dps.\nAnswer: 0.1152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-26*(-3)\/39.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2932*n + 2932*n - n**3 - 226*n**2.\nAnswer: -n**3 - 226*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*y + 20 = 0, -5*o = 5*y - 42 - 18. Suppose -101 - 155 = -o*n. Differentiate -10 + 40 - 20 + n*g wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.23975, -1\/3?\nAnswer: -0.23975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 6*q, -a = -2*q - 9. Suppose -j - 11 = -5*z, 5*z + a - 42 = -3*j. Suppose 5269 - 497 = j*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {q: 2, p: 1, v: 1, b: 2, e: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a - 16*a - 333*a**2 + 298*a**2 to b*a**2 + w*a + m and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/87)*l**25\/l*l assuming l is positive.\nAnswer: l**(2260\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -6. Let f(m) = m - 1. Let p be f(5). Suppose -q + o = p. Solve 2*v + q = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p**2 + 204*p - 204*p + 2*p**2 as u*p + s*p**2 + m and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229 + 439. Suppose 5*i = 3835 - w. List the prime factors of i.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -860, 23\/5, -0.2, 16 in descending order.\nAnswer: 16, 23\/5, 0.2, -0.2, -860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2. Let f(z) be the third derivative of z**5\/20 + 5*z**2. Determine j(f(m)).\nAnswer: 63*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 5*u + 2. Let s(f) = 2*f**3 + f**2 + 11*f + 5. Let b(j) = -2*s(j) + 5*t(j). Let v be b(2). Solve -25 = -q + v*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaaaaaaata. Give prob of sequence ata.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15107.31 centimeters to kilometers.\nAnswer: 0.1510731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 72 + 31*u + 79.\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134002*p*w - 294474*w with respect to p.\nAnswer: -134002*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + -52. What is the common denominator of 15\/2 and (81\/2)\/(m\/(-9))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2147 - 2132. Solve -5*i + 2*z = -j, 5*i + 3*z = i - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 114 - 114 + y. Let a(w) = 560*w + 1. Give a(t(i)).\nAnswer: 1120*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 93 + 2. Solve -3*o + s = -4*i - 4, 2*i + 10 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -499 - -4489\/9. Which is the second biggest value? (a) -83 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) -2\/5 (b) 4563\/7 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/84 - 13*o**3\/21 - 12*o**2 + 741*o. What is y in d(y) = 0?\nAnswer: -14, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k + 16 = 0. Suppose w - k = -3*w. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003603 rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7316a7 (base 11) to base 13.\nAnswer: -321169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -6)\/(-12) - (-2)\/(-24)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(sqrt(143) - (sqrt(143) + sqrt(143)*-1))*6)\/(-4*(sqrt(396) + 2*sqrt(396)*1 + sqrt(396))).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 a when four letters picked without replacement from iaapairriacrporarro.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**3 - 9*q**2 - 268*q - 694. Calculate c(-3).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa7b (base 16) in base 4?\nAnswer: -22221323","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455320465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n + 11. Let l(s) = -4*s - 10. Calculate 6*h(c) + 7*l(c).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, 1 w, and 1 x when four letters picked without replacement from wdwpoopdppxdddwddxo?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1869 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:53 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 1. Let j be k(-7). Let a = -7 - j. Let q(y) = -11*y**2 - y - 1. Calculate q(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(242)*-2)**2*-1 - ((sqrt(24)\/sqrt(2)*3)\/((sqrt(1296) + sqrt(36))\/sqrt(6)))**2.\nAnswer: -47499\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.619 + 21.573. Let l = -0.246 - d. Which is greater: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-51) + 99702\/986 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3056702, 3056690, 3056678?\n\"Answer: -12*y + 3056714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150365801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144644058 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjschhnhcycn. Give prob of sequence jy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5478117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 5*k + 4. Let r be f(-5). Suppose 0 = g - 2*z - 81, 5*z = g + r*g - 400. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/350 and 41\/245?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {a: 1, d: 1, i: 1, v: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296*n**3 - 266*n**3 + 785*n**3)*(n - 2 + 2)*(-n + 3*n - n).\nAnswer: 223*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.2879 + 0.0721. Let r = -10.4 + y. Let a = r + 0.04. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2*(-4)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (2 + -2 - (-11 - 12)) + -10?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2843?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.92 rounded to 1 dp?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42547885 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1657240\nAnswer: 7\/1657240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11963*i**2 - 4054*i**2 - 3953*i**2 - 4012*i**2.\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/5*(4 - -1). Suppose -34 = -s*b + 26. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8*-2)\/((-4914)\/(-123)). Let l = x + -4\/91. Suppose -q - 3 = -2. Which is bigger: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvzvkzzvzvzvkvvv. What is prob of sequence vz?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 73*q**2 + q - 12. What is the thousands digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268 < 25613\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Suppose p*f - 132 = 88. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(136) - (sqrt(136) - (sqrt(136)*2 - sqrt(136))))\/sqrt(8) + 3)*1.\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44752, 44189, 43250, 41935, 40244, 38177?\nAnswer: 35734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - 67431\/(-32256)) + (-5 - 0) and 107\/6.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(7) + -1))**2 - (2*-1*sqrt(1008))**2.\nAnswer: -3968 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -43*v - 61. Calculate m(-6).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 12 - 9 - 3*o.\nAnswer: -3*o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22074955 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -823\/36 bigger than 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 15 = 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 12 = 0. Suppose -n = 5*z - 143 - 137, 56 = z - n. What is the remainder when z is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.9094*-0.0366.\nAnswer: -0.28948404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24008976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 49215*n. Let l(h) = 9843*h. Calculate 2*f(m) - 11*l(m).\nAnswer: -9843*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgug when four letters picked without replacement from {t: 2, a: 4, q: 3, g: 6, b: 1, u: 3}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35.2647 and 0.14.\nAnswer: -4.937058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3859*y + 339978. Determine u(-88).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 50. What is the closest to f in 0.3, -4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616280, 616332, 616384, 616436, 616488, 616540?\nAnswer: 616592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/17 (b) 4355193\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 477 + 1877. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1. Suppose 2 + 6 = -2*z. Let d be m(z). Does 12 divide d\/18 - 287\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 12 = 8*r + 5*j, -2 = j. Solve 4*q = -2*h + r, -19 + 2 = q - 4*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + v**5 + 0*v**5 + (2*v**5 + 0*v + 0*v)*(-382 - 1107 + 462).\nAnswer: -2053*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3152\/11 - -3100\/11. Let g be (-2*1)\/(4\/14). Calculate the common denominator of p and (17\/g)\/((-2)\/(-2)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -1\/18, -4, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.182425?\nAnswer: -0.0182425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(8\/12)\/(21\/(-63))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 9)\/(-1 - 0). What are the prime factors of (-6 - (z - 5))*-17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 y when four letters picked without replacement from ymyyyyyyyyyyyyyyyyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4 - -18. Let i = -16 + q. Let j = i + 2. What is j rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -634 - -669. Solve -14 = 2*u + 5*m, -11*u + 5*m = -6*u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from koyeylyy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -355 + 21146?\nAnswer: 20791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let r = 761\/1120 - 63\/160. What is the closest to 0.1 in g, -4, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3288 minus 0.4?\nAnswer: -3288.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - 14. Let k(y) = -2*y - 7. Let q(g) = 5*k(g) - 2*z(g). Let i be q(-6). Solve -i = n - 0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3378025 and -109\/965150.\nAnswer: 6756050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5221992023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 83368235 * 1\nAnswer: 83368235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -117957?\nAnswer: 117954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2231*a + 2213 + 6929 = -4244 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1251, 5005, 11273, 20061, 31375, 45221, 61605, 80533?\n\"Answer: b**3 + 1251*b**2 - 6*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*0*(-8)\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l - 3. Let k be d(5). Find the third derivative of 18*q**2 + 2*q**3 - 3*q**3 - 8*q**k wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1937*y**3 - 509*y**2.\nAnswer: -11622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + 472. List the prime factors of f.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3687 times 238.5\nAnswer: -879349.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12096 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.29 + 32.59. Suppose 0 + 4 = 4*f. Put f, -49, h in decreasing order.\nAnswer: f, h, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 8*f**2 + 5*f + 4. What is z(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22275333 divided by 1?\nAnswer: -22275333","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 21, 14*f + 1516 = 2*l + 12*f. What is the highest common factor of 75 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - -0.3. Let k = -2494667\/10980 + 8179\/36. Which is the smallest value? (a) r (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 0, -7 in increasing order.\nAnswer: -53, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -7.92266194?\nAnswer: 4.92266194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 5*a + 6*a - 9*a - 2*a + 4*a - 3*a + (2*a - 2*a - a)*(6 - 4 - 1).\nAnswer: -10*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let d = -0.6 - -1. Let p = -0.5 + d. What is the nearest to u in -1, p, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266365 minus -1.517385?\nAnswer: -266363.482615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 18*z**2 + 11 + 5*z - 4*z to the form v + c*z + g*z**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54456 and 129816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -20*j + 40. Suppose -4*z - 5*r + 9 = 29, -20 = -5*z + j*r. Factor 2\/3 - 2*a**4 - 4*a**2 + 16\/3*a**3 + z*a.\nAnswer: -2*(a - 1)**3*(3*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 117. What is the remainder when g is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/31, 5\/2 in ascending order.\nAnswer: -3, -2\/31, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 434674950*b - 436707723 wrt b?\nAnswer: 434674950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9525 + 9717.035. Let u = h + -189. Let r = u + -0.035. Which is the fourth biggest value? (a) r (b) 2 (c) -1\/2 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -529e2 (base 15) in base 13?\nAnswer: -923c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 1:14 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932316 divided by -28252.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 866377 = -5*p - 182398, 0 = 4*c - 5*p + 839065. Round c to the nearest one thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 21. Let c = 3 - 4. Let x(r) = -4*r**2 + 2*r + 1. Let w be x(c). Put w, 2, o in decreasing order.\nAnswer: o, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*n - 83. Calculate the greatest common factor of 85 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)*g\/(g*(g\/(g\/(g*g**(-1\/6))))\/g)*g)**(-37) assuming g is positive.\nAnswer: g**(-1073\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (16\/1)\/(-4). Suppose z = -2*u + 4*u + 304. Let k = 416 + u. Calculate the greatest common divisor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:53 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/27)\/((-2)\/(-28)). Let l = 22 - h. Let b = 44618 + -44620. What is the second smallest value in -0.2, 0.2, l, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50025506?\nAnswer: 2, 23, 31, 35081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29460.\nAnswer: 2, 3, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 31418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3191934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + 65*t - 244. Give d(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 8*z**3 + 3*z**3 + 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/120 + l**5\/60 + l**4\/8 + 5*l**3\/3 - 18*l**2. Let o be y(0). What is the nearest to o in -0.4, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 6*l + 2)*(2*l + 2*l - 2*l) to f*l**2 + u + g*l and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66897, -66905, -66915, -66927, -66941, -66957, -66975?\n\"Answer: -z**2 - 5*z - 66891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 44?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 37094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f**5 + 2010*f**4 - 14841*f**3 + 8160*f**2 + 92100*f = 0 for f.\nAnswer: -2, 0, 5, 614\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-40) + 198\/(-495) - (-138)\/16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1727 (b) -83 (c) -1 (d) 35\/11 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 25. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0366 and 106.9.\nAnswer: 3.91254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4.3. Let n be ((-27)\/2)\/(2 - 5). Let g = n - 47\/10. Sort c, g, 4.\nAnswer: g, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-29)\/(-232)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379, -718, -1053, -1384, -1711, -2034?\nAnswer: -2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4388, 8824, 13258, 17690, 22120, 26548, 30974?\nAnswer: 35398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129433812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1368334 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 0 = -2*c - 6, 0 = -3*j + c + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -568*t**3 - 378. Let r(b) = -1136*b**3 - 757. Let m(s) = 3*r(s) - 7*w(s). What is the derivative of m(n) wrt n?\nAnswer: 1704*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 - (-4)\/(80\/25). Suppose -z - 2*a = 2*a - 21, 2*z + 10 = 5*a. Solve -o - f = -2*s + 4, -z*s + 7 = 3*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o - 57 + 6. List the prime factors of -1 - 4 - (-1011)\/o*-3.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.67 - -0.33. Let f = 1 - -1. Let k be (-105)\/(-196) - f\/8. Put -4, k, g in descending order.\nAnswer: g, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000849189941 to 5 decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7880310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(242) + 0)*-2.\nAnswer: -264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 3) to base 10.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r + 23. Suppose -f + 13 = c + 4, 2*f - 2*c = 6. Calculate w(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227.501 + 0.501. Let u = a + 226.9998592. Round u to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1155 + -1?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157650 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2716\/9*b + 2\/9*b**2 + 0.\nAnswer: 2*b*(b + 1358)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 less than -31543491?\nAnswer: -31543356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 285959\/2 at least as big as 142980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13470 + 7246867\/538. Let f = g - 2311\/1883. Calculate the common denominator of f and ((-7)\/5)\/(0 + (-16)\/70).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204 + -145. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.09, 210, -3, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20704\/192 + (-3)\/(-18). Let y be (-30)\/(-4) + 1 - 7\/14. Calculate the highest common divisor of y and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -31*z - 158. List the prime factors of l(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/5625 - 320639\/39375. Calculate the common denominator of w and 43\/682.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70.28 - 69.98. Let f = 0.1 - 0.4. Let l be -2*1*(-1)\/8. Which is the second smallest value? (a) z (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 27*t**3 - t**2 + 1. Let l be v(1). Find the common denominator of 9\/l - (-31)\/15 and -3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -355\/4 - -1453\/16. Let w = z - 2. Suppose 5*l + 39 = 34. Are w and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-21))\/((5751\/(-162))\/71*(-8)\/(-14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 10*b**2 - b + 8. Let g be a(9). Is 8 a factor of (32\/g)\/((-1)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -73. Which is the biggest value? (a) j (b) -5 (c) -2\/5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16148 is divided by 1243.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3290, 0 in decreasing order.\nAnswer: 3290, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5. Let u(o) be the second derivative of o**3\/6 + o**2\/2 + 115*o. Calculate -r(b) - 2*u(b).\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(242)*-5*1 + ((0 + sqrt(242))*3 + sqrt(242) - sqrt(242)) + sqrt(242) + sqrt(242) + (sqrt(242) - (1 + sqrt(242))) + 5)**2.\nAnswer: -440*sqrt(2) + 6066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 31266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 603266, 1206531, 1809798, 2413067?\nAnswer: 3016338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqkjkkmjjjmmqjjkj. What is prob of picking 2 m, 1 j, and 1 k?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.8 (c) -828 (d) -0.07 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23639433 by 6429.\nAnswer: -3677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/120 + i**5\/30 - 5*i**4\/24 + 5*i**3\/6 - 262*i**2 - 2*i. Give o(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 7:03 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w. Suppose 5*z - 45 = 4*y - 7*y, 4*z = w. Find the second derivative of y - 5*u - 15 + 3*u**5 - 2*u**5 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-245)\/(-10) + (-2)\/4. Let m be 0\/(2\/2 + -2). Suppose r + 2*r - p = m. What is the remainder when 15 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 - 5*c + 2. Suppose -2*k + 488 = -2*a, -2*k = 42*a - 37*a - 460. Let n = k - 233. What is u(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 3 - 6 = 96 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 4560?\nAnswer: 455a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -16. Let p be (-36)\/27*102\/l. Let g be 36 + 0\/3 - (-2)\/(-1). Calculate the highest common factor of g and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34\/13 - 97\/52. Let g be ((-96)\/84)\/(6\/(-7)*1). Sort r, g, -3\/2.\nAnswer: -3\/2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-355)\/25)\/(3\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -761457*r**4 + 63702?\nAnswer: -3045828*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p - 9. Find the common denominator of (65\/2 + p)\/2 and 59\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/726 and -38\/231?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87843.21 nanograms in milligrams?\nAnswer: 0.08784321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 5*n**2)*(-3 + 3 + n**3).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 2*o - 11*m + 22, 4*m - 5*m + 286 = 54*o - 5*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*p - 28 = 0, 10 = -4*z - 14*p + 16*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 870860 = -1044879 + 282387. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*j - 20, -2*j + 10 = 2. Solve 5*r = y*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-8)\/32*4\/3). Suppose -q + 3*o - h*o - 15 = 0, -4*q + 3*o = 0. Let w = -4 - q. Is w less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/3 - 6*c. Let j(i) = 2*i. What is j(w(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2089009800 - 12.037\nAnswer: 2089009787.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + o - 6)*(-2 - 1 + 39).\nAnswer: 36*o - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85692 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111101000 (base 2) to base 9\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {h: 5, e: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a + 2. Determine w(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 18*k + 22. Let o be n(-19). Let v(h) = -6 - 4 + o + h**2 - 5*h + 1. Let y(m) = m + 4. Let l be y(1). What is v(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4659405 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20012577, 20012580, 20012583, 20012586, 20012589?\n\"Answer: 3*h + 20012574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28804910.\nAnswer: 2, 5, 223, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 7*w**2 + 7*w - 2. Let j = 54 + -35. Let s be (3 - j)*(-1)\/(-2). What is the units digit of t(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -18.5. Let c = -0.67 - 39.33. Let y = -41 - c. Sort y, u, -3\/8, -2 in ascending order.\nAnswer: -2, y, u, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 418*v**3 + 20*v**2 - 260*v + 15651223 wrt v?\nAnswer: 1254*v**2 + 40*v - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**4\/6 + p**3\/6 - 58*p**2 - 2*p. Calculate g(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(624\/40))\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 24*x - 40. Let f be s(-22). Let a(z) = 44*z**3 + 3*z**2 + 3. Is a(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose 5*z + 5 = 5*r - 2*r, -j*z - 17 = -5*r. Suppose r = -p + 20. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 - 5*d**2 - 5*d + 5. Let i be ((-3)\/4)\/((-2)\/8). Let f(u) = -6*u**3 - 3 + 104*u + 11*u**3 + 3*u**2 - 101*u - 7*u**3. Determine i*c(t) + 5*f(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4776 + 367*k**4 - 35*k + 38*k - 3851 wrt k?\nAnswer: 1468*k**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10764 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/(n*n**4)))*n*n*n**(1\/5)*n**(-1\/3)*n**(1\/5) assuming n is positive.\nAnswer: n**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -262 by -5.\nAnswer: 262\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177314 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*n + 6780 = 7098 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 7*v + 8. Let a be t(8). Suppose -20 = -a*p + 5*p. Let q(i) = i**3 + 3*i**2 - 6*i - 5. List the prime factors of q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -2\/49, 4, 0.21, -11?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1094\/41 in -1, -2\/33, 0.4, -1\/2, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, v: 2, t: 1, d: 2}. Give prob of sequence dtfv.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, u: 3, x: 2, k: 2}. Give prob of sequence xukc.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142938 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/18784731 and 73\/861.\nAnswer: 770173971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 5 - -4) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8618 - 294?\nAnswer: 8324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 27 = -3*a, 2*a = 4*c + 15 + 9. Solve 0 = -3*m + a*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.198, 10\/7, 3, -45\/26?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 9*q - 85. Calculate g(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 18*s**2 + 8*s - 8. Let h be w(8). Let a be ((-12)\/(-680))\/1*h\/18. Let k = a + 12\/17. Are k and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -12*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.685116s to minutes.\nAnswer: 0.0114186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(9)*1))\/(sqrt(8) - (sqrt(512) - 1*sqrt(512))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 1 - 239*a**2 + a + 225*a**2 - 9 - 4. Let w be r(14). Which is smaller: w or 10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -w + 3, 3*i - 3 = 0. Suppose 0 = -6*j + 30 + 120. Solve 4*g = 5*h - j, 0 = -0*h + 2*h + 3*g - w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -759 - -495. Let d = -261 - k. Solve 16 = -d*y + p, 0*p + 8 = -2*y - 2*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7289 + 7373. Calculate the remainder when 1439 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o = -124*o + 63*o - 550. Suppose -4*r + 11 = h, 40 = 5*r + h - 5*h. Solve -r*s = s - o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.9 (b) -5 (c) -4\/3 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -833\/5*p - 3\/5*p**3 - 101\/5*p**2 + 289\/5.\nAnswer: -(p + 17)**2*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 37768*o - 113306\/3.\nAnswer: 2*(o - 1)*(o + 56653)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 24 = 9. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0566035 rounded to 4 dps?\nAnswer: 0.0566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*p - 5263 - 5352 - 3168 = 4469 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130593776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdzsqsz. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 16 = -4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91781267.95000056 - 91781271. Let u = 3.05 + m. Round u to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 13*l. Let i be 6\/(-4)*(l - (-310)\/(-3)). What is the highest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5282 = 10*b - 1168. Which is smaller: b or 646?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2308*x - 41546. Determine f(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11110110?\nAnswer: -11110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 8:49 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 81.08659 days?\nAnswer: 116764.6896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*u + 4*g + 20, -5*u = -g - 4. Suppose -j + 4*q + 58 = 6*q, u = -4*q + 12. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2780.64 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -13*g**3 + 3*g**2 - 195*g + 214. Is u(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 2*l. Let i = -0.8909 + 0.932. Let g = -0.3411 + i. What is the closest to l in 9, g, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 92*t + 2*t**2 + 94*t + (-3*t**2 + t**2 - 2 + t**2)*(11 + 5 - 5) as r*t + k*t**2 + j and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317285421 to the nearest integer?\nAnswer: 17813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 453346790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 76825.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*c - 572*c = 632*c - 135516 for c.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-5) + 84 - -5. Calculate the greatest common divisor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x - 22 = -5*w, -3*x - 2*w = 14. Let r(p) = p**2 + 8*p + 3. Calculate r(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/90 and -125\/198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/525 + 3*q**6\/100 + 33*q**2\/2 - 2*q - 2. Let w(a) be the first derivative of s(a). Determine p so that w(p) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -7. Which is the nearest to -2? (a) k (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:40 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 500427 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 16*z**2 + z - 15. Suppose -4*j + 6 = 2*u - 18, -5 = -j. Let r be ((-48)\/(-9))\/(u\/6). Let v be o(r). Solve -v = 3*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16 + -1 + (-3)\/1. Let c = -15 - r. Suppose c - 7 = -v. Solve 3*h + 5*f + 30 = -v*h, -5*f = 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22021147, 44042291, 66063433, 88084573, 110105711?\n\"Answer: -b**2 + 22021147*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 100*h - 1536. What is l(-83)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 124*g**2 - 4*g**3 + 6 - 110*g**2 - 16*g + 5*g**3. Let i be 6\/((-9)\/((-90)\/(-4))). Let a be c(i). Calculate the highest common factor of a and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*f + 3*x, -2*x = -26*f + 22*f - 38. Let z = 0.5 + -4.5. Which is bigger: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 0 + 6 + 3*l + 3*l. Let b = 82 + -80. Suppose 29*i = 31*i - 2*s - 2, b*i - 14 = 5*s. Let d(t) = t + 7. What is i*w(p) + 2*d(p)?\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -120. Let h(b) = -4*b**2 - 2. What is h(x)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 s when three letters picked without replacement from {e: 5, r: 1, t: 1, k: 3, s: 1, i: 2}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.394 and 190848.\nAnswer: 190855.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 2*w + 3*w)*((189 - 189 + 8*w)*(-58 + 28 + 34 + 27*w)*((-3 + 0 + 2)*(1 - 1 - 2) - 2 + 0 + 1) + (-3 + 3 - w)*(4*w + 2*w - 4*w)).\nAnswer: -428*w**3 - 64*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 219. Let c = 491 + b. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/2 + 11\/6. Let w = -67.1 + 68. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 y, and 1 d when four letters picked without replacement from ynyyfydffd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(702\/180) - -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**2 + 3*s - 8. Suppose -2 = -2*n - 14. Let m be l(n). Let f = m - 147. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**2\/6 - 10113370*q - 30684075827070 = 0.\nAnswer: -6068022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 - 140296*k**3\/5 + 4749651798*k**2\/5 + 12001628755688*k\/5 + 7317956092772809\/5.\nAnswer: (k - 71347)**2*(k + 1199)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:28 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4 = -5*k, -5*q - 1 = 4*k + 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -6 - (3 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071466140 to the power of 1\/2, to the nearest integer?\nAnswer: 32733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o**3 - 6*o**2 + 6*o + 32. Let k(w) = -25*w**3 + 13*w**2 - 13*w - 63. Give -6*k(m) - 13*p(m).\nAnswer: -6*m**3 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**3\/3 + r**2 + r - 1. Let s(l) = 3*l + 6 - 11 - 6*l - 8*l + 6*l**2. Determine 4*s(f) + 22*z(f).\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 + 2*d - 10. Let k be c(7). Solve -k*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 165\/7 (c) -116 (d) 3 (e) 1\/5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005907658 rounded to six dps?\nAnswer: 0.000591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002150138 to 6 decimal places.\nAnswer: -0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2226301 and 9970.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 86.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 299*c**2 - 350*c. Determine w(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n, -n - n - 197 = -3*j. Suppose o + 0*o = j. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 33*z**3 - 18*z**2 + 126*z - 9. List the prime factors of w(7).\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3522*h + 2*h**4 + 5*h**4 + 1 + 3521*h to the form w*h**4 + l*h**3 + k*h**2 + o*h + i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {m: 1, k: 1, o: 1, l: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444289 to the power of 1\/2, to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by -72?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 129? (a) 2\/7 (b) 2\/19 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3306 and -33\/21394?\nAnswer: 1861278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*((sqrt(76)\/sqrt(4) - sqrt(19)) + sqrt(19))**2.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40887 and 54432?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Suppose -20 = -5*q + a + a, 3*q - 12 = r*a. Suppose 0 = -q*f + 221 + 303. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(171) + sqrt(171) + 0 + -6*4*sqrt(171))*-1.\nAnswer: -5 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.5 (c) 0 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 30*w = 238. Solve -w*m + 15 = 29 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h + 90 + 44. What is the greatest common factor of h and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 13) + 3 + 24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/7 - 114*f - 11319 = 0. What is f?\nAnswer: -77, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1567872, 3135637, 4703412, 6271203, 7839016, 9406857?\nAnswer: 10974732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3539 times 4.4972?\nAnswer: -1.59155908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -1.3. Let r = 4 + -4.05. Let z = 3.95 - r. Which is smaller: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -5*d**8\/336 - d**5\/60 + 7*d**2. What is the third derivative of t(s) wrt s?\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 706\/8 - 0 - 297\/(-108).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 76 = 4*b - 7*b, 4*j + 5*b - 76 = 0. Differentiate j*u + 36 + 36*u - 69*u wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3\/3 - 5*c + 1. Let s be b(0). What is the units digit of (-95)\/s - 6\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 518*q**2\/5 + 406*q\/5 - 102\/5.\nAnswer: 2*(q + 1)*(q + 51)*(5*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3549178 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**2 + 224*a - 4. What is o(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -1\/4, -17\/2245.\nAnswer: -1\/4, -17\/2245, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4946898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6676 - -6676. Solve r = -20*w + 16 + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36032081 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 3*r**2 - 19*r**2 + r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 1221?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 288\/30 + (-4)\/(-10). Suppose s + 2 = 4*v. What is the greatest common factor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - 178. Let s be (-12)\/(-54) + l\/(-9). Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 16*n**2 + 17*n + 84. Let d be f(-17). Suppose 4*s - 42 = -346. Let w = s + d. Calculate the lowest common multiple of 20 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-743)\/(1 - (-2736)\/(-6)). Let g = -3\/91 + s. What is the closest to -2\/13 in -1, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -15*53\/3*-3 and 5?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 5:42 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*v = -3*v + 100*v - 21937 + 28499 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127454474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -24 + 20, -2*l - 2*p = -4. Solve 36*k + h - 27 = 31*k, l = -k + 4*h - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r + 13*r + 11*r - 31*r**3 + 27*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(320) - (sqrt(320) + -1 + 3))**2.\nAnswer: -96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b + b + 0*b)*(-2 + 0 + 5)*(-8*b - 1 + 1) in the form d*b + m + h*b**2 and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*g = 6, 4*u + g = -4*g + 8. Suppose 2*x = -u*o - 0*x + 16, -47 = -4*o - x. Let f(s) = 7*s**2 - 4*s**2 - 4*s**2 + 13*s - 4. Give f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000867399 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/6 - (-18)\/3. Let o(a) = a**3 - 2*a**2 + 5*a - 4. List the prime factors of o(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/2*t**2 - 5\/2*t**4 + t + 9\/2*t**3 + 0 + 1\/2*t**5.\nAnswer: t*(t - 2)*(t - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -11. List the prime factors of 8 + i + 999\/3.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + m - 322 = 0, -4*p - 3*m + 8*m = -616. Let c be 6\/33 + p\/33. Find the third derivative of 31*a**2 + 12*a**3 - 16*a**2 - c*a**2 wrt a.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -344542 and -14534.\nAnswer: -359076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1858, -5199, -10768, -18565, -28590, -40843?\nAnswer: -55324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 8 = g + 1, 48 - 43 = 5*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*f - 87*f + 167*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46549 is divided by 46432?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 36.76. Let i = p - 0.04. Which is the smallest value? (a) 0 (b) i (c) -1\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4964045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -w + 21, -3*w - 1 = -4*a - 0*w. Solve 5*b = k - 4*k + a, 3*k = 2*b - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 3*j**2 + 0*j**2 + (4*j - 4*j - 2*j)*(-4*j + 2*j + j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.777107l to millilitres.\nAnswer: 2777.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11548 - 11498. What is the remainder when 1207 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b + b - 2*b)*(5 + 3*b**3 - 5)*(64 - 70 + 31) as u*b**4 + a*b**2 + s + h*b**3 + q*b and give u.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-2) - 4) + (-1628)\/2. Is (6\/8)\/((-17)\/o) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00238446079 rounded to six decimal places?\nAnswer: 0.002384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -387 + 387.5. Which is the closest to -1? (a) -2\/5 (b) -43 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*n + 313*n - 2*n**2 + 306*n to the form s + m*n + y*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p - 25. Let v be n(-2). Suppose -51 = 2*r + v*r. Suppose 13 = 2*g - t, 4*g - t - 18 = 3. Sort -2, r, g in increasing order.\nAnswer: r, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161030212 divided by -1876\nAnswer: 85837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 35*r**2 + 37952*r - 37766. Let c(n) = 4*n**2 + 4744*n - 4722. Let m(b) = 17*c(b) - 2*k(b). Solve m(d) = 0 for d.\nAnswer: 1, 2371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4421951 seconds?\nAnswer: 442195100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(4\/(-6))\/((-24)\/18). Let d = 13 + -8. Put d, w, -2 in descending order.\nAnswer: d, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t, -3*r + 25 = -2*r + 5*t. Suppose -196 = -r*f + 204. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 + 382*m - 4 - 22*m**2 - 120*m - 2*m**3 - 262*m in the form p*m + s + b*m**2 + h*m**3 and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04850812 to 3 decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 33*h**2 - 5*h - 3. What is the hundreds digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-31)))\/(y**4*y) assuming y is positive.\nAnswer: y**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 22. Let m be t(-11). Solve -3*i - 12 = 4*y, -2*y + m*y - 8 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -75*p**4 + 442745*p**3 - 9380590*p**2 - 7058180*p - 1294040 = 0.\nAnswer: -2\/5, -1\/3, 22, 5882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*i = 265196, 24*i = 19*i + 20. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177844300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -981681*x**4 - 1253524 wrt x.\nAnswer: -3926724*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4963 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 38*k**2 - 38*k + 35. Let s be p(18). Which is bigger: 1\/5090 or s?\nAnswer: 1\/5090","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t*t**(-24)\/t)\/(t**(-11)*t)**(-14) assuming t is positive.\nAnswer: t**(-167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 1, l: 1}. What is prob of sequence le?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244704 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74573424?\nAnswer: 2, 3, 17, 41, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 29*t**3 - 15*t**2 + 9*t. Let c(h) = -10*h**3 + 5*h**2 - 3*h. Let m(u) = 17*c(u) + 6*s(u). What is the units digit of m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Suppose 3*j - 6 = -i*j. Let p = j + 1. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + (sqrt(192) - -2*sqrt(192))**2).\nAnswer: -5184 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 523 or 1389?\nAnswer: 1389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1490*y - 378. Calculate f(-1).\nAnswer: 1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-1 - (sqrt(405) + -2)**2.\nAnswer: -409 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m\/(m**(3\/22)\/m))\/m))**(-13)*m\/(m**4\/m)*m**(-1\/29) assuming m is positive.\nAnswer: m**(5865\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - -1. Let q = -45 - -49. Suppose 0 = 3*i + q*d - 29, -7*i + 4*i + 34 = -d. What is the remainder when a is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2. Let j(r) = -64*r**2 + 1 + 46*r**2 - 1. Determine d(j(n)).\nAnswer: 972*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1342*o + 4735*o. Factor 0*b + o + 72\/19*b**2 + 2\/19*b**3.\nAnswer: 2*b**2*(b + 36)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/11 (b) 1\/10 (c) -745\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - d, 3*n = -n + 2*d + 2. Suppose z - 3*z = n. Suppose p + 0*p = 2*y + 27, z = -5*p - 5*y + 75. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r. Let h(q) = -3*q + 8. Let n(a) = 28*a - 70. Let d(y) = -35*h(y) - 4*n(y). Calculate d(v(m)).\nAnswer: -70*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 79*x + 14*x + 4281726. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v**2 - 2*v + 3. Give t(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129633 is divided by 168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 14*y + 16. Let i be x(-11). Let h = -35 + i. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) + (-4*sqrt(3) + 1)**2 + ((sqrt(27) + (sqrt(972) - sqrt(27)))\/sqrt(9))**2) + 3.\nAnswer: -154 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -609530 and -609529 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*b + 28 = 0, -3*k + 0*b = -2*b - 4. Solve 0 = 4*p - 2*s, 18 = k*p - 5*p - 4*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/3 and 21\/82913.\nAnswer: 248739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*a**2 - 31*a**2 + a - a as q*a**2 + d + f*a and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/4920 and 83\/264?\nAnswer: 54120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, w: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*n + 10 = 0, 35 = 3*h - 0*n + 4*n. Suppose -y - 196 = -h*y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -41, 3\/4, 39, 30, 3 in increasing order.\nAnswer: -41, -3, 0.5, 3\/4, 3, 30, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 538812331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 1.9 (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 267514 (base 12) to base 10\nAnswer: 634912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j - 28965 = 9411. Suppose i + 30 = 6*i. Suppose -72 + j = i*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -762*f**3*q + f**2*q - f*q - f - 632 wrt f?\nAnswer: -4572*f*q + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/24 + 5*y**4\/24 + 3*y**3 + 61*y**2 + 2. Let m(a) be the first derivative of l(a). Let p(n) = -n**2. Give m(p(j)).\nAnswer: 5*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1480120.472+-5\nAnswer: -1480125.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.7 (c) 2477 (d) 19\/2 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4) - (-21)\/42 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1971 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 41*p**2 - 57*p - 899. Calculate h(39).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141 or 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-26)\/14)\/((-136)\/(-714))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 152 = -4*q. Let g be 4 - 28*(-20)\/q. Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110 and 7.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1559 + 4.0309. What is k rounded to 1 decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20876625 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-7 - 1)\/2. Suppose -u*t + t + 48 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3 + 5. Suppose h - 25 = 20. Suppose -n*v + h = -221. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 600312.9ng?\nAnswer: 0.6003129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 68*q**2 - 129*q - 198. What is s(66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8385 - 0.1615. What is the second biggest value in 0.24, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0) + -1 + 17 + -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 2 x when four letters picked without replacement from xxfxfwffwxxwflxxxw?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1. Let x be (-5 + -7 - -5) + 3. Give l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 4 in increasing order.\nAnswer: -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 498628495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l**3 + 5*l**2 - 16*l - 13. Let v(r) = 24*r**3 + 9*r**2 - 33*r - 27. Let j(s) = -9*b(s) + 4*v(s). Factor j(n).\nAnswer: -3*(n - 1)*(n + 1)*(4*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*((-150)\/(-10))\/(-15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 121*i + 24. Let b be h(2). Let o = -248 + b. Solve 0 = 16*f - o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 9*q**5 + 93*q**4 + 183*q**3 + 123*q**2 + 24*q = 0.\nAnswer: -8, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3\/10 + 4813967*g**2\/5 + 2317419162544*g - 208569284357184\/5 = 0?\nAnswer: -4813976, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 4\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-5)))\/(l**(-2\/9)*l*l))**24*l\/(l*l**2)*l**7*((l**0\/l)\/l*l)**28 assuming l is positive.\nAnswer: l**(163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3705 and -145\/8892.\nAnswer: 44460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 695, -7, -0.0016 in decreasing order.\nAnswer: 695, -0.0016, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*4\/(-2)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 6*h - 750. Suppose 5*g - s - 261 = h, -5*g = -4*s - 389. What are the prime factors of g?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 6*d + 3. Let c be u(3). Suppose c*v = -0*v + 177. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3635 - 6?\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((-10)\/(-40)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyuvkub. Give prob of sequence bk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320*q**3 - 5*q**2 - 8540*q?\nAnswer: 1920*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 19\/4*h**4 + 0*h + 1\/2*h**2 + 0*h**3 + 197. Determine a(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*x + 297 = 98*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/325)\/((-3)\/(-65)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/2345 and -19\/5366030.\nAnswer: 37562210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kndggkgknkkknkgne. What is prob of sequence kke?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5 + 2 - 5*x**2 + 1248*x - 1256*x + x**3. Determine p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 8901.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 36. Let s be y(16). Let k = s - -4. What is the remainder when 23 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23314214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180563 is divided by 4999.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137317018, 137317019, 137317020, 137317021, 137317022, 137317023?\nAnswer: 137317024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1323210100 (base 5) to base 13\nAnswer: -8c9cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 34*a - 46 + 3*a**3 - 30*a + 96*a - 33*a.\nAnswer: 3*a**3 - a + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*t + 73 = 0, 82 = 4*u + 2*t + 3*t. Let z = 46 - u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) 2\/13 (c) 3\/2 (d) -0.1845 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + 2*m)*(13 - 13 - 10*m) - 52*m + 52*m + 7*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -66. What is the fourth smallest value in -4\/9, -0.2, x, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12.803787 microseconds?\nAnswer: 0.0000000035566075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k. Let x(j) = 5*j. Determine p(x(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*c + b - 4*b, -2*c = -2*b - 6. Let g(a) = -6 + 4 + a - 1 + c*a. Suppose 0 = i + i + 6. Determine g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - (6 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = t + 5, t + 3*t + 5*n + 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17691637 and 7.\nAnswer: -123841459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 - (3 - 2) - -1. Let t = -1125 - -1129. Solve 4*c - n = t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 5*w + 97 = 0, -67 = -2*y - 5*w. Suppose -y = -5*h - 9*k + 11*k, 4*h - 2*k - 32 = 0. Calculate the lowest common multiple of 6 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*u + 9. Let f(q) = q**3 + 2*q**2 + 7*q. List the prime factors of f(u).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1294*t = 141*t - 1330*t + 46587 + 119774 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5549\/36023 + -7\/36023. Determine v, given that 54\/13*v + 28\/13 - x*v**3 + 24\/13*v**2 = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*i - 0 + 12, 5*x + 2*i = 6. Let t = -27045 - -27045.04. Which is the nearest to x? (a) t (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 141. Let v = q - 42. Calculate the remainder when 53 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, q: 12}. What is prob of sequence qlq?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226059?\nAnswer: 3, 75353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 14 = 34. Suppose 0 = v*h + 10 - 20. Solve b = a - h, -a - b = a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*v + 2*m - 6, -4*v - 8 = 3*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 45 = -8*y. Suppose -2*l + 4 = -g - 3, -y*l + 5*g + 14 = 0. Suppose -2*p - 9 = 1. Put p, l, -3 in decreasing order.\nAnswer: l, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134069 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -69332*i + 4. Let j be v(-3). Suppose 5*t - 3*t - j = 0. Suppose 6*f - 7*f = t. Round f to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.026888479 take away -7668.84?\nAnswer: 7668.866888479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pettetteeept. Give prob of picking 4 t.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87.52474kg?\nAnswer: 87524740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.465 to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/16)\/(-1*(-12)\/(-3 - 21)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468612099?\nAnswer: 3, 52068011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * -0.039.\nAnswer: -0.0663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.99641ml in litres?\nAnswer: 0.01099641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227.5 - 0.\nAnswer: 227.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6 - 1 - 14 + 0*m + 3*m. Let b be n(-10). Let h = 0 - b. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1193*l**3 - 1225*l**3 + 402*l**3 + 462*l**3.\nAnswer: -1554*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 72 = -l + 15, -4*f = -l - 76. Suppose -q = n - 6, -q - 2*n + 7 + 4 = 0. Suppose 16 = -35*h + 191. Solve q + f = h*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*u**3 + 2*u**3 - 116*u**3 + (u**2 - 3*u**2 + 3*u**2)*(u - u + u) + 0*u**3 + 0*u**3 + 2*u**3 + u**3 + 4*u**3 - 4*u**3.\nAnswer: -89*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6228651 and 715.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -308?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 9*d**5\/7 - 102*d**4\/7 + 249*d**3\/7 + 36*d**2 - 108*d\/7 = 0.\nAnswer: -1, 0, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 517445163 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -m. Suppose -43*k + 36*k + 3087 = m. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/60 + a**4\/12 + a**3\/6 + 10*a**2. Suppose 0 = -88*z + 89*z - 4. What is the smallest common multiple of z and t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/364, 35, -0.3, 11\/9 in increasing order.\nAnswer: -0.3, -1\/364, 11\/9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(20)\/sqrt(4)))**2*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416727.\nAnswer: 3, 19, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -22*k**5\/5 + 197*k + 177. Differentiate b(v) wrt v.\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34350 and 111294.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 752, 9 in descending order.\nAnswer: 752, 9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 356 = 336. Is v at most as big as 13\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-40)\/32*768\/3200\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 2)*(0 + p + 0) + 0*p - 2*p + 4*p)*(-2 + 5*p + 2).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, 3, -12 in decreasing order.\nAnswer: 3, 2, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 20 (c) -13 (d) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 4*y**4 + 0*y**3)*(4 + 3 - 5)*(2*y + y + y) + (-3*y**3 - 2*y + 2*y)*(-2*y**2 - 2 + 2) - 3*y**4 + 3*y**4 - 2*y**5.\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1282315, 2564557, 3846799, 5129041, 6411283?\nAnswer: 7693525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3950 and 6952.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -21020211211202?\nAnswer: -21020211211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 110011 (base 2) to base 3\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**9\/504 - 15*l**8\/16 - 87*l**5\/10 - 3*l**2 + 6. What is the third derivative of s(v) wrt v?\nAnswer: -120*v**3 - 18900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**28*h)**(6\/13) assuming h is positive.\nAnswer: h**(174\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g - 0*g. Suppose 7*b - 55 = 8. What is the highest common divisor of g and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -34802.2.\nAnswer: -34802.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 - -5) - 1) + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 609412 - 609417. Let w = 1\/37 - 151\/111. Which is the biggest value? (a) w (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1671, 3327, 4967, 6591?\n\"Answer: -8*k**2 + 1680*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 149 - 5*v - 86.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1020.7731 months?\nAnswer: 0.85064425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7449364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/30 - 41*s**4\/24 + s**3\/6 + 2*s**2. Let p be z(-20). What is p rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/33231 and 49\/1749.\nAnswer: 33231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166912545 rounded to the nearest 100000?\nAnswer: 166900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -4.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 + 2*d**2 + 59 + 57 - 180 - 3*d**2 - 26*d - d**3 + 66 as m*d**3 + a*d**2 + s + k*d + l*d**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(24) + (sqrt(384) - sqrt(384)*2) + sqrt(24) - sqrt(24)))\/(sqrt(768)*-5) + -5 + -3.\nAnswer: -8 - sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3652423786*k**2 - 1256*k**3 - 3652423786*k**2.\nAnswer: -1256*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 19 = -3*m - m, 3*z + 5*m - 23 = 0. Let p = -6699 + 6652. Put z, -1, p in increasing order.\nAnswer: p, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 4. Let y be b(4). Solve y*t - t + 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 6:02 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/5)*g*(g\/g**5*g*g)\/g*(g*g\/((g\/(g*g**1))\/g))**(-30))\/((g*g**(1\/2)*g)**(-5\/3)*((g**1*g)\/g)\/(g*g**(-2)*g*g)) assuming g is positive.\nAnswer: g**(-3511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 p when three letters picked without replacement from {g: 1, p: 3, r: 6, n: 1, k: 1, z: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*l - 607*l - 455934 + 455937.\nAnswer: -153*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 83*w - 972. Give b(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 5:05 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**4\/4 - 4*w**3\/3 + 2*w**2 + 5*w - 121. Let f(u) = -2*u**3 - 4*u**2 + 3*u + 4. Determine -5*f(y) + 4*z(y).\nAnswer: -2*y**3 + 4*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170264 is divided by 188.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/(i\/(i*i\/i**(-3\/2))))\/(i*i*i**(4\/5)\/i*i*i*i**(-8)*i) assuming i is positive.\nAnswer: i**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 315 = 8*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 16) in base 8?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {u: 3, a: 1, m: 1, k: 2, e: 8, h: 3}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Let f = 3 - v. Solve 0 = -4*g - f*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548153 is divided by 547368?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - t - 13. Let g = -24 - -21. Let i be y(g). Let d = -35 - -86. Calculate the greatest common factor of d and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/84 and 131\/34524?\nAnswer: 34524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 2*o**2 - 4. Let g be j(-2). Let u be (6\/(-72))\/((-3)\/g). Is u <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 25126885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -274016, -1096049, -2466104, -4384181, -6850280, -9864401, -13426544?\n\"Answer: -274011*w**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/((-15)\/(-50)). Suppose -5*k + 3 = 4*n + 41, 0 = -4*n + a*k - 20. Let v = 24 + n. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9783\/3128 - 1\/391. Find the common denominator of -109\/24 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 4, u: 7}. Give prob of picking 3 o.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -c - 6, 2*m - 4*c + 3 + 1 = 0. Let p(t) = 4*t + 4. Let w(n) = -3*n - 4. Let a(f) = m*w(f) + 3*p(f). Let o(j) = j**2. What is o(a(x))?\nAnswer: 36*x**2 + 48*x + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -3.02. Suppose 3*b + 20 = -2*b. Let x = b - -3. Which is greater: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 286620a?\nAnswer: 2866205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + -68. Let i = 261 + l. Suppose 5*w - i = -0*s + 3*s, 4*s - 188 = -5*w. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34841*m**3 - 423 - 41*m**2 - 597*m + 143*m**2 + 1233 + 34838*m**3 = 0 for m.\nAnswer: 2, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + 2) - sqrt(700)) + 2)*-2.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -9747\nAnswer: -1\/3249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:55 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66554 = 2899*z + 26214 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-14) + (-2)\/(-7). Let -4*u**3 + 0*u**3 + z*u**3 - u**4 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 549.\nAnswer: 11\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 22. Suppose -2*s - 14 = -30. Let j be a(s). Let d be (7 - -1)*(1 + 0). Solve 0 = 4*r - d, -5*l - 3*r + j = -1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1085 and 33871747?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -1298\/9. Let i = -160 - -803\/5. What is the closest to c in i, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-395 - -372) + 0 + 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/204 + (-5)\/(-4))\/(86\/1677).\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92287 - -173853. List the prime factors of b.\nAnswer: 2, 17, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = k - 17, 0 = 4*k + 4*p - 36. Let u be (-8)\/10 + (k - 5). Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 20872.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ityytitttiyii. Give prob of picking 1 i and 1 y.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -1 - (-6)\/(-5). Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqqqqeqqwqqmq. What is prob of sequence wqw?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (130\/(-25))\/((-1)\/5). Suppose 4*r - 5*m = b, 1 = 2*r + 5*m + 3. Find the second derivative of -3*o + r*o**2 - 6*o**2 + 6*o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-12) - (-2)\/3. Suppose -3*x + 0*x + 6 = r. Calculate the lowest common multiple of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2136622, 4273188, 6409758, 8546332, 10682910, 12819492, 14956078?\nAnswer: 17092668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676 and 102206?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20487.\nAnswer: 3, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n + 116 - 39 = 1061 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/4 - y**4\/3 - y**3\/3 - 14*y**2 + 3. What is the second derivative of a(i) wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:29 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n**2 + 350*n - 872. What is m(21)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 13*r + 7 - 7 in the form v + z*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.075 take away -0.16?\nAnswer: -0.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -o + 90, 3*h = -h + 20. What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560, -576, -598, -626, -660, -700?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 74\/14. Let l(w) = 10*w. Let f(g) = -12*g - 1. Let k = 162 + -158. Let t(a) = k*f(a) + 5*l(a). Let o(m) = 2*m - 5. What is r*o(y) + 6*t(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 + 128*l**2 + 170*l + 247. What is i(44)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 4*a + 10. Let b be q(5). Find the third derivative of 9*w**2 + 5*w**b - 4*w**5 + 2*w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203\/8 - 205\/8. Which is the nearest to p? (a) -5 (b) 1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g**2 - 4191*g - 4152 = 0.\nAnswer: -1384\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2296, -1239, 570, 3125, 6420, 10449?\nAnswer: 15206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 3 = -5*k, 0 = a + 2*k - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3*m**2 - 7*m - 10. Let r be x(-4). Suppose -3*w + n = w - 195, -4*w + 186 = r*n. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3101121100 (base 4) to base 13\nAnswer: -240505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 - 17*d**2 + 6*d - 9. Let g be k(4). Let b be 5 + (-16)\/8 + g. Let c(v) = -v**3 + 3*v**2 + v + 3. What is c(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2.462 (b) -0.1 (c) 23\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*d - 0*s + 3*s, 0 = 5*s. Calculate the lowest common multiple of d and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - 0) - (-60 - (116 + -175))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*20\/(-30)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2 - 9*r. What is g(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 31 and 306\/349 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 287, 679, 1243, 1985, 2911?\nAnswer: 4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.371 and 0.1.\nAnswer: -0.0371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -241984.6495 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 12:25 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 3*d**6 - 4*d**3\/3 + 81*d**2\/2 + 3*d - 64. Find the second derivative of f(j) wrt j.\nAnswer: 360*j**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1300))**2 + 0)*-5.\nAnswer: -6500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:34 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 + -0.14. Which is the nearest to -4\/7? (a) v (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 761.743 litres?\nAnswer: 761743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8 = k, 5*k - 8*v = -267 + 284 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = -5*l, -2*q = -l - 0*l - 2. Suppose -16 = -2*m - 3*u, -4*m + 9*m = -u + 14. Which is the closest to -1? (a) q (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15094)\/(-4) - (161\/46 + -2)?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/198 + (-4)\/(-18). Let i = -5.1 + 1.1. Let j = 1.1 - 0.1. Which is the nearest to j? (a) 0.4 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y - 6 + 5 + 7. Let p(f) = 6*f + 3. Let v(l) = -4*h(l) + 7*p(l). What is the least common multiple of 10 and v(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o**(-1))**(2\/9) assuming o is positive.\nAnswer: o**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 332147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/8 + l**3 + 3*l**2 + 115*l. Factor k(h).\nAnswer: 3*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a - 5. Let h be g(0). Let j(s) = -3*s - 3. Calculate j(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*p**2*y**3 - 92*n*y**3 - p**2*y - 31*y**3 wrt n?\nAnswer: 2*p**2*y**3 - 92*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30379*t - 30379*t + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*c = -4*c - 12 - 9, -119*a + 2*c = -91*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 2. Let j(n) = -n**2 + 4*n + 9. Let w(x) = x**2 - 20*x - 17. Let u be w(21). Suppose -r = -2*r - u. Calculate r*j(i) + 18*m(i).\nAnswer: 4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901642.\nAnswer: 2, 41, 47581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 883651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*b + 606 + 156, -3*m + 2*b + 2273 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 6*f + 23512. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g + 1. Suppose 5*m = 8*k - 9*k + 21, 22 = 2*k + 5*m. Suppose -5*x = -7 + 12. Let y(n) = n**2 - n + 1. Calculate k*d(i) + x*y(i).\nAnswer: -i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -6 (c) 43 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkkhkkh. Give prob of picking 3 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3188553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1*r*r)\/r*(r*r**(-2\/9))\/r)\/(r\/(r**(-6)*r)*r\/(r**(1\/3)\/r)))**(23\/6) assuming r is positive.\nAnswer: r**(-1219\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318776608.\nAnswer: 2, 3, 17, 1420819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3179, -3165, -3127, -3053, -2931, -2749, -2495, -2157?\nAnswer: -1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -308.1843049 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-6)\/(-3)) + -1. Let t = 11 + f. Suppose t*u = -u. Solve u*n = -n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + 2 + -5 - (18 - 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 2*g + 2 + g**2 + 3*g**4 - 5*g**4 + 6*g**4 + 4*g**3 to the form s*g**3 + v + n*g + q*g**4 + k*g**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 55, 174, 401, 772?\n\"Answer: 6*s**3 + 5*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 11:53 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 2*c**3 + 47528 + 26784 - 8000 + c**2 + 7*c**2.\nAnswer: 2*c**3 + 5*c**2 + 66312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = c - z + 27, -c + 1 = -4*z. Let w(b) = -b - 21. Calculate w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*o**3 + 7*o**2 - 13*o - 9159?\nAnswer: -33*o**2 + 14*o - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:57 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 47.1629.\nAnswer: -707.4435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 16*b = 0. Find the third derivative of 3*x**2 + 3*x**6 + 0*x**2 + 0*x**6 + b*x**6 wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(98) + -1*sqrt(98) + -2 + -2))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.409 + -0.009. Round j to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 4*d - 2. Suppose 10*j - 6*j + 44 = 0. Let u = 15 + j. Suppose 25 = 5*c, -u*m + 2*c = -2*m + 2. What is v(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36861861719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4895874.\nAnswer: 2, 3, 101, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (540\/225)\/(12\/(-200)). Suppose 12 = -o - 29. Let l = o - j. Let k(b) = -8*b + 1. Determine k(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Solve v = 5*o - w*v - 20, -5*o - 2*v + 27 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5184))\/((sqrt(72)*-4 + sqrt(72))\/sqrt(6)) + -1*(sqrt(1728)*2)\/(sqrt(729)*-2).\nAnswer: 44*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-6 + -19)) + -106 + 40?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*z - 1547, 3*z = -2*u + 642 - 1648. Let q = u - -748. List the prime factors of q.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 20*i**2 + 31*i + 285. Give t(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/8*2*-1. Let s = n + -1. Suppose -c - 2*c = s. Put c, 3\/5, 2\/13 in descending order.\nAnswer: 3\/5, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 7, d: 6}. What is prob of sequence yo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -153, -200, -285, -414, -593, -828?\n\"Answer: -f**3 - 13*f**2 - f - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 17*y = 198. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7009, 5, -4, -2, -3 in descending order.\nAnswer: 7009, 5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -19. What is the units digit of ((-4)\/n)\/((-3)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0*g**2 + 9 + 3*g**2)*(5*g - 3*g + 0*g + (3*g + 2*g - 3*g)*(-4 - 1 + 3)) to the form n*g**3 + q*g + w*g**2 + k and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/1147 or 0?\nAnswer: 4\/1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/7, 0.2, -2\/5, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-650))\/(4\/25*70\/(-84)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 224.9\nAnswer: -193.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 4*m - 246. What are the prime factors of (m\/(-4))\/((-2)\/4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151557*h**3*n**3 - 29*h**3*n**2 + 2*h**2*n**2 - 3*h*n**2 + 195*n**2 wrt n.\nAnswer: -909342*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 55*t**2 - 55*t - 54. Let w be z(56). Solve 24 - 28 = -w*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3448384)\/(-192))\/((7 + -8)\/(15*-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -20. Which is smaller: t or 3\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.3, -5, -0.01, -9, -37 in decreasing order.\nAnswer: -0.01, -0.3, -5, -9, -15, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4005*k + 510. Let z(p) = 24029*p + 3042. Let s(c) = 35*j(c) - 6*z(c). What is the derivative of s(v) wrt v?\nAnswer: -3999","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*69.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, y: 2}. 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: What is 90414208 divided by -1?\nAnswer: -90414208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4368 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 19 = 3*l. Let n = l - -15. What is the remainder when 47 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48798 or -48793?\nAnswer: -48793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-224)\/(-483)) - 1\/(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 25.7. Let m = -1.7 - n. Sort m, -1\/3, -1\/4 in ascending order.\nAnswer: m, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2522 - -10095\/4. Which is the second smallest value? (a) -0.5 (b) 0.02 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o + o - 1287. Suppose -o*b + 139*b = -476. List the prime factors of b.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -45, -95, -165, -261, -389?\n\"Answer: -o**3 - o**2 - 26*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3118, 3599, 4392, 5491, 6890?\n\"Answer: -t**3 + 162*t**2 + 2*t + 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 330?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3114*l = -1548*l - 1564*l - 2*x + 4*x - 116, 3*l + 7*x = 190 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -1\/3*g**4 - 10\/3*g**3 + 0 + 24*g - 8*g**2. Find d such that l(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -0*q + 46*u + 92, 15*q - 42*q + 4*u + 18 = -22*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - 5*b - 2*b**3 + 11*b**3 + 0*b**3. Let k(f) = -5*f**3 - 3*f**2 + 3*f. Let n be (9\/(-3))\/(2\/12). Let c be 2\/(-9) - 58\/n. Give c*w(i) + 5*k(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of (-68)\/(-187) - (-188076)\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 f when three letters picked without replacement from {u: 2, l: 5, n: 4, f: 1, k: 2, w: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400519479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*n, -4*n - 6 + 2 = 4*r. Suppose 3*g + 2*g - 20 = -5*b, 2*b - 10 = -r*g. Solve -11 = -2*v - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1038 in -1, 1.3, 1\/2, -0.5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 2*n**2 + n + 1. Let k be r(3). Let f = -0.36727 - 0.03273. Which is the smallest value? (a) -3 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 682 - 409. List the prime factors of w.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 558 - 1271. Let i = b - -713.0136. What is i rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 638, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -96*s - 750. Let y be p(-8). Solve -13*d + 7*d = y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - r**2 + 3*r**2 + (0*r**2 - 3*r**2 + 5*r**2)*(-2 + 4 + 0) - r**2 + 3*r**2 + 12*r**2 + 673*r**2 - 305*r**2 - 338*r**2 + 2 + 2*r.\nAnswer: 47*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51916792426173 + 0.06.\nAnswer: 51916792426173.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 2. Let i = 106 + -106. Let f(j) be the first derivative of j + 0*j**2 - 1\/4*j**4 + i*j**3 + 2. Give -12*f(p) - 5*h(p).\nAnswer: 2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(480)\/(sqrt(30)\/(sqrt(9)\/sqrt(3))) - ((sqrt(144) + sqrt(144)*1)*-2)\/sqrt(3).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + s - 2*s + 2*s + s**2 - 8*s**2 - 2*s**2 + (-5*s + 1 - 1)*(-4*s + 4*s - s)*(-2 + 4 - 3) to the form b + o*s + f*s**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-1 - sqrt(288))*-6.\nAnswer: 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:41 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 688579\/55 + -12519. Let l be ((-92)\/690)\/((-1)\/(12\/(-88))). Let b = y + l. Sort 0.5, b, -4\/5, 0.2.\nAnswer: -4\/5, 0.2, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5496420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**4 + 8*y**3 - 3766*y**2 - 2*y + 3960383 wrt y?\nAnswer: -4*y**3 + 24*y**2 - 7532*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/16*(-4)\/131. Let q = m + 6883\/524. Let j = q - 55\/4. Which is the closest to -1? (a) 3 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.021, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*l - 2 = 3*j, 3*j - l - 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 129 = 288. List the prime factors of d.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150646696?\nAnswer: 2, 359, 400643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 230003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2*(-10)\/8). Let o be 1*-1*(-6)\/(-2). Let n be 27\/(-135) - (-68)\/(-85). Which is the smallest value? (a) o (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 54 = 3*x + 3*w, -5*x - w - 58 = 0. What is the common denominator of (-531)\/x*6\/(-18) and -50\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a*a*a\/(a\/(a*a\/(a\/(a*a**6\/a))))*a)**31)**31 assuming a is positive.\nAnswer: a**7688","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. Let h(d) = d**2 - 4*d - 2. Let x be h(w). Find the second derivative of -4*p - 12*p + 194*p**3 - 207*p**x wrt p.\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4069*o**3 + 2040*o**3 + 10*o + 2035*o**3.\nAnswer: 6*o**3 + 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = -1. Find the common denominator of (t\/(-15))\/(4\/(-183)) and (-723)\/(-90) - (-2)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65218.074 + 65290. Let a = 27 - 99. Let z = a + k. What is z rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 4) to base 13.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*76\/(-10) + 0 - 3. Let g = 0.1 + -0.1. Which is the second smallest value? (a) 4 (b) f (c) -0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245638 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4862953892 to the nearest integer?\nAnswer: 69735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(sqrt(300) + (sqrt(300) - (sqrt(300) + 2 + 2))) + 1 + 3 + 3))**2.\nAnswer: -46000*sqrt(3) + 133225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 4*w**2 - 4*w - 1. Determine d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsnascsbacc. Give prob of sequence as.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c + 12. Does 7 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 81 = -27 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. Let a be x(-3). Let q be 1*4 + 2\/a. Suppose 2*w - 3*u = -w + 36, -5*u = q*w - 36. Solve -t = -4*c - w, 27 = -2*t - 4*c + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -251 in -23, -1, 4\/7, -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1836 + 2150. Calculate the remainder when x is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let o(g) = 2*g + 287. What is o(b(m))?\nAnswer: -4*m + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (46 + (34 - 48) - -54).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.2. Let y = 0 + f. Let q = 7\/16 - 33\/112. Which is the second smallest value? (a) y (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + (sqrt(90) + (sqrt(90) - sqrt(90)*-2) - sqrt(90))*-6)\/sqrt(5))\/(-2*1*sqrt(9)*6).\nAnswer: 17*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from zxuuzzzizzzzuku?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 108.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 0.3 (c) -0.5 (d) -66 (e) 2\/7 (f) 0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/(1\/(-9)). Suppose -6*w - 3 = -t*w. What is the units digit of (0 - w)\/((-2)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i - 39. Calculate the remainder when (6795\/604)\/((-1)\/(-4)) is divided by v(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + n = 1021 - 1028, -m - 17*n - 348 = 116 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-2\/25) assuming f is positive.\nAnswer: f**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 2*z**2 + 3*z + 3. Let q be j(-3). Let k(v) = 9*v - 4. Let l be k(q). What is the lowest common multiple of 8 and 8\/20*(l - -2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (8 - (21 + -10)) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(4\/(-24)). Suppose i + 150 = 5*t, -5*i = -t + h*t - 60. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14773 = -38*h - 1681. Let g = -429 - h. Solve -g*d + d - 4*m = 3, 4*d + 3*m = -11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 2. What are the prime factors of r(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1076, -1067, -1058?\n\"Answer: 9*y - 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -68 + 52. Let b be ((-6)\/(-12))\/(9\/r - 1). What is the closest to -2 in 0.5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 4937473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(1*sqrt(4)) + 1.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24 = 68. Solve 2*a - u = -a - 4*l, 5*l - 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from hjhjjjjjhjhjjjhjjh.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmpmmdrpdmmmm. Give prob of sequence dr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 28. Let w be i(11). Suppose c + 4 = -w. Let a = c + 24. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823844531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 - 21*h**2 - 17*h. Let l be -3 + 3 - (-1 + 5). Let t(j) = -2*j**3 - 10*j**2 - 8*j. Let z(w) = l*u(w) + 10*t(w). Factor z(i).\nAnswer: -4*i*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -33. Calculate the common denominator of 113\/6 and (-2)\/y + 0 - 15\/510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12*t**3 - 3*t**2 - 3*t - 1. Let d be m(-1). Suppose -108 = -83*j + 101*j. Sort j, 0, d in ascending order.\nAnswer: j, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d09 - 520c5?\nAnswer: -512bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 5*i**2 + 2*i - 6. Suppose 0 = -3*u + 5 + 7. Let f be o(u). Let g = 21 + f. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.84 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8) + (-3)\/(-4) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3. Let w be v(1). Let b = 3 + w. Suppose b*c = -c. Is 1\/4 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*5\/(-25) + (-28392)\/(-546).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1418 = 786. Suppose 5*u - s = 94. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rns when three letters picked without replacement from {n: 1, h: 6, s: 1, r: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1530.6703 to the nearest ten.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3949 and 27358.821.\nAnswer: 23409.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, u: 3}. Give prob of sequence oo.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f - 1. Let z be a(-1). Let g(n) = -n**2 + z*n - 10*n. Let x(h) = 2*h - 11*h + 7*h + 0*h + 7*h. Determine x(g(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12160079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.64, 0.2, -4?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w + 196. Let f be l(0). Suppose h = f + 102. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17601030014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/647 + -629\/1941. Is p at least -2004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let l(p) = -6*p**3 - 2*p - 3. Let w be (-8 - (-100)\/12)\/((-2)\/(-18)). Give w*r(f) - l(f).\nAnswer: 6*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 3*i - 2. Let d be n(4). Suppose -25 = -2*q + 5*z, -5*q + 2*q - d*z = -85. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -22112.\nAnswer: -43\/22112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.42226 or 0.0536?\nAnswer: 0.0536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8724091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313322852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2206188 and 980528?\nAnswer: 8824752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*u = -14*u - 34*u + 713 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 6. Let h(k) = -4*k + 23. Let u be h(-7). Let f = 55 + -28. Suppose u = -3*l + f. Let r(v) = -v + 2. What is l*r(p) - 3*t(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/8 - 3*f\/8 - 1\/4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110233635*w + 110233557*w = 2730 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 7*n + 5, 3*n = -4*w - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478*h**3*w + h**3 - 10447*h*w wrt h?\nAnswer: -2868*h*w + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 7) in base 13?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 805. Let w(s) = -9*s**2. Calculate w(g(i)).\nAnswer: -9*i**4 - 14490*i**2 - 5832225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*o**2 + 2*d**3*o + 972*d**3 + 37*d**2 + 16*d*o**2 wrt d.\nAnswer: -12*o**2 + 12*o + 5832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51413 + -3282?\nAnswer: 48131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 153254 (base 6) to base 14\nAnswer: 5682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7476 - 3?\nAnswer: -7479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, l: 14}. Give prob of picking 2 d.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 - -202. Solve -5*n = 4*n - r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94729413 and 252696.\nAnswer: 757835304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -933\/53 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/2 - 4. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*s + 9, 0 = -7*s + 2*s + 5. Suppose -p + t = -5*z, 4*p + 9 = -2*z + z. Sort 0, z, 0.5.\nAnswer: z, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6250\/150)\/(2\/(-337104)). What is m rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4498, -9093, -13680, -18253, -22806, -27333, -31828, -36285?\n\"Answer: v**3 - 2*v**2 - 4596*v + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 0.1288?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 141 = -64*s + 601 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 10*q**2 - 13*q + 26. Let n be j(11). Solve -2*l = 2, 3*u + 2*l = 2*u - n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183558089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15371*b**3 - 8397 wrt b?\nAnswer: 46113*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 4. Let t be v(-8). Let c = 26 - 15. Calculate the least common multiple of c and 205\/t + 1\/(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 20. Let r be (35\/14)\/(1\/2). Let m = r - 1. Put m, 7, n in decreasing order.\nAnswer: 7, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2854*z - 108453. What is t(38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14 + 7 = -4*j, 3*t + 15 = 6*j. Solve -22 = 2*c + 4*n, -2*n = 2*c + j + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 - (-8 + -34 + 21 - -49).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-16) + (-13)\/(-4). Let t = b + 0. Solve -3*v + j = -0*j - 5, t*v = -3*j - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4917502ns?\nAnswer: 0.0000000004917502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*w - 410, 309 = d + 2*d + 3*w. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/217?\nAnswer: -6\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.02 - 0.02. Let u = 30.9793 - z. Round u to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-447.3\nAnswer: 134.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 8*t - 90, 192*f = -5*t + 191*f + 45 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3525730*28\nAnswer: -98720440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 123 + (-2 - (-1 + -1)). Suppose -5*u - 13 = -w. What is the least common multiple of 4 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -0.0010115.\nAnswer: 0.000151725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 900778717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2148 divided by 179\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.7 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**4\/12 - 41*f**3\/6 - 3*f**2 + 64*f + 1. Calculate s(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 36*r + 16. Let m be l(-11). Let o be m\/25 - (-1)\/5. List the prime factors of (-3)\/o + 109\/5.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(4\/7)\/i)\/i*i)\/i)**(-49)\/((i\/(i\/(i\/(i\/(i**19\/i)))))\/(i*i\/((i**(-28)\/i)\/i*i))) assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.552 - 1.449. What is the second biggest value in d, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430 and 14443?\nAnswer: 144430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 700 - 697. Let r = -53 - -100. Is g greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21832.934 to the nearest ten.\nAnswer: 21830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 2627.8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) -9 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1946, -1955, -1976, -2015, -2078?\nAnswer: -2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 + 1. Suppose 44 = 2*j + 5*q + 5, -3*j + 2*q + 11 = 0. Calculate d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3*t**3 - b**3*t + 3*b**2*t - 4*b*t**3 + 3*b*t**2 + 30*b - t**3 + 3 wrt t?\nAnswer: 36*b**3*t - 24*b*t + 6*b - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -21. Let l be (x + 79)*4\/2. Let v = l + -83. List the prime factors of v.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5\/(-20) + 132\/16 and 1300.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2671680.93 rounded to the nearest 10000?\nAnswer: -2670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 + 1)*(2*z + 1 - 1) + z - 1 + 1 - z - z + 0*z + z + z - 4*z)*(-32 + 9*z**3 + 32) to the form d + c*z + j*z**4 + r*z**3 + p*z**2 and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -18. Let v = 1 - g. Suppose -s + v = 3*s - 4*j, 3*j = 2*s - 6. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6815451 is divided by 101723?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2316\/72 - 2\/(1 + 11). Let f = z + 55. Is 25 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, f: 3}. Give prob of picking 3 w.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/24*30\/4. Suppose 5*j - 30 = k, -6*k + t*k = -j + 6. Let l be (4 - 26\/j)\/(-1). Sort l, -0.5, 0.4, 1\/7.\nAnswer: -0.5, 1\/7, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460968 divided by 4.\nAnswer: 115242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 20. Calculate the remainder when v(-21) is divided by (0 - (-33)\/12)*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 + 3. Let s be x(-3). Let q = 20 - s. Let n be 2\/11 + q\/(-44). What is n rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) 0.4 (b) -5 (c) -0.9 (d) 1 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9*s**3 - 1.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 182289*0.014\nAnswer: 2552.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -1354, -4882, -11776, -23164, -40174?\nAnswer: -63934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**4*v + 75*b**4 + 2*b + 4208*v wrt b?\nAnswer: 12*b**3*v + 300*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**9\/72 - i**5\/60 + 9*i**2\/2 - 9*i. Let l(m) be the first derivative of f(m). Find the third derivative of l(b) wrt b.\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 11\/4*g**4 + 0 + 0*g - 61\/6*g**3 + 53*g**2. Find the first derivative of n(y) wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 times -0.5?\nAnswer: -147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3049 is divided by 2215.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116 + 235. Calculate the remainder when i is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*12.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 divided by -3?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 390870 plus -28.2192?\nAnswer: 390841.7808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 382 + 135 - 159 = 0. Suppose -2*k - 4*g - 1 = -5, -3*k + 3*g - 3 = 0. Solve d*i = -k + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5\/3*m**5 + 0*m + 0*m**2 - 25\/3*m**4 + 10*m**3 = 0. What is m?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 8*i - 4*i. Let h = 57 + i. Suppose -2*p = -6*p + 64. What is the greatest common divisor of p and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w + 1 + 3*w**2 - 2*w + 4*w - 3. Let o = 5 - 7. Let b be k(o). What is the highest common factor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7336.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -4038 + 3814 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 160*b**4 + 115*b**3 + 1300*b**2 - 1860*b = 0 for b.\nAnswer: -3, 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252791 = -513*o + 2691*o + 1105*o for o.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {l: 1, m: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 11. Let o be -5 + 0 + 0\/(-4). Let c be z(o). Suppose c - 3 = 3*i. Solve 5*r = -3*v - 6, -4*r - 3*v - 4 + i = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*h + 128 = 0, -5*z - 362 = 8*h - 5*h. Let i = 4 - z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 4 (c) -1\/3 (d) 3\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4*i + 12, -i - 18 = 2*i - 3*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714 and 1724208.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 977\/11 - 89. What is the second smallest value in q, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8031\/12*-4*-1999. Let g = -4173814 + 7335137. Let n = p - g. What is n rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 498430*d + 1250245 with respect to d.\nAnswer: 498430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 3*k - 7*y - 438, -k - 5*y = -154. What is the remainder when k is divided by 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 4*p**2 - 4*p - 2. Let c(q) = q**3 - q**2 - q - 1. What is -4*c(z) + d(z)?\nAnswer: -6*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -9 + -26 - ((0 - -2) + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -36*i**3 - 14. Let k(f) = -7*f**3 - 3. Give 14*k(h) - 3*q(h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*u**2 - 1)*(4 + 3 - 6) + 2*u**2 - 2*u**2 + u**2 + 2*u**2 + 5 - 4 - 2 - 3*u**2 - 1 + 1 to the form f*u + a + k*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4370472 to the power of 1\/2, to the nearest integer?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g + 32*g - 16*g - 7*g. Let n(t) = 43*t**2. What is a(n(x))?\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 w, and 1 y when four letters picked without replacement from {y: 2, l: 4, r: 1, w: 4, o: 2, v: 1}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131)\/917*(-3)\/(-15)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*p*s**2*t**2 - 16*p*s**2 + p*t**2 + p + s**2 - 26*t**2 + 3 wrt t.\nAnswer: -38*p*s**2*t + 2*p*t - 52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1823.\nAnswer: 14584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 68\/(-10))\/((-16)\/(-80))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*n - 105 + 29, 3*b - n = 53. What is the greatest common divisor of b and 2826?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -2. Let t be -17*((-6)\/(-2))\/(-3). Solve 7*z = j*r + 4*z - t, -r + 7 = 3*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 548 - 494. Solve 3*j - g = -15*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 + (-42)\/(-24)). Let k be 2\/(-6) - 2\/(-18). Sort s, k, 5 in descending order.\nAnswer: 5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3738853 smaller than -29910819\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29706*w**3 + 21*w**2 + 50768607 wrt w?\nAnswer: -89118*w**2 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800.5332 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - f + f)*(12*f - 7 + 8 + 3*f).\nAnswer: -30*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4391.513um to kilometers.\nAnswer: 0.000004391513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, l: 2, v: 2, f: 3, s: 6}. What is prob of sequence ts?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102.802 + 103. Let y = -1.198 + n. What is the nearest to y in -4, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = -s, 3*d = 4*s - 5*s + 4. Let o(n) = -1 + s - 1450*n**2 + 1439*n**2. Let h(b) = 2*b**2. Give h(o(u)).\nAnswer: 242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/877 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h - 5*h**2 + 3\/2*h**3 - 1\/4*h**4 + 1\/60*h**5 + 0. Factor c(q).\nAnswer: (q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 - (-1630)\/10. Let g = a - -497. What is the lowest common multiple of 38 and (1\/3)\/(11\/g)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3038811613 and -1.3235.\nAnswer: -3038811614.3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.241 - 3.849. Let z = 0.09 + n. Let c = -2 - -4. What is the smallest value in z, -2, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t**2 + t - 1. Let x be (-20)\/8*(-8)\/(-10). Let d be h(x). Let l = 2 - d. Which is smaller: l or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 9489243?\nAnswer: 3795697.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 44)\/(-7) + -6. Let g(k) be the first derivative of c*k**2 + 7*k + 1 + 0*k**3 + 7\/5*k**5 + 0*k**4. Differentiate g(u) with respect to u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*r + 310*r + 4141116 = 0. Is r\/36 - (3 + (-100)\/36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 8*l + 88. Let i = l + 86. Let w be 506\/66 + (2\/(-3))\/i. Solve 0 = -2*u - w - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 834 + -571. Suppose 8*k = 3*k + 25, 2*a = 5*k - d. Let q = a + 173. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 14 = j, 0 = 4*j + 4*z - 3 + 27. Let g = 0.006 - 0.006. Which is the nearest to j? (a) 3 (b) g (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30206.01cm to kilometers.\nAnswer: 0.3020601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/1850*(840\/(-8))\/7.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {f: 4, o: 1, q: 3, z: 2, j: 7}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -34075.\nAnswer: -3\/34075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/33 - (-176008)\/44. Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2)*((-1316)\/56)\/47.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 0.11, -0.4 in decreasing order.\nAnswer: 2, 0.3, 0.11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451 by -9.\nAnswer: -451\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*d - 8 = 0, d - 3*d = -4*u + 6. Let y be (-1)\/(-1 - (-16)\/18). Let i be 2\/y*6 - 1. Is i bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 567624 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616370 is divided by 205449?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151311 - -1?\nAnswer: 4151312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/13 - 8*a\/13 + 42\/13 = 0 for a.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -47*q**2. Let r(y) be the third derivative of -y**5\/120 + 22*y**3\/3 + 4*y**2. Let c(z) be the first derivative of r(z). Calculate p(c(b)).\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.94 - 0.06. Let x = -4 - -3. Let b be (-13)\/(-20) + x\/4. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 54.2617 minutes?\nAnswer: 3255702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwvr when four letters picked without replacement from {l: 8, r: 4, w: 2, v: 3}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*z - 27, 24 = -i + 5*i - 4*z. Let c be 2 + 1 + (-1 - 0). Suppose 0 = -c*j + j + 6. Solve q - i*x + 0*x = 0, -4*x = -2*q - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 403875.1 to the nearest one thousand.\nAnswer: 404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*(111\/(-12) - -7). Which is the fourth smallest value? (a) -0.4 (b) -14 (c) g (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1048)\/(-786))\/(4\/27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, -553, -1271, -1991, -2713, -3437?\nAnswer: -4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1. Let w(v) = -v**3 + 4*v**2 + 24*v - 71. Let l be w(6). Let f(s) = -s - 3. Let m = 1 - 2. Let d be (-15)\/m*3\/9. Calculate d*q(h) + l*f(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171865737 is divided by 1090?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 293*d + 1783. Give i(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s - 6. Let w be h(5). Solve 3*k = w + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 6 = -27*a. Solve -5*k**2 + k**a + 2*k + 4*k**2 + k**3 - 3*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10852109 and 4299.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -56) + -77 - 68\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17226529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + g - 53, 2*g = -0*d - 3*d + 155. Suppose 4*r - d = 51. Let o = 35 - r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*t - 92*t - 354200000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.00512 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39624352 divided by -3758.\nAnswer: 10544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6*f + f + 30, -2*l = -5*f - 20. Let g = l - 11. Put -2, g, -4 in increasing order.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.1146 + 17.1. What is c rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/28 - 4589\/4788. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -3*g + 5*v + 26, 2*g + 122*v = 121*v + 27 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 338520 and 8184.\nAnswer: 3723720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 12) to base 4\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20179*m - 19697*m = -4079 + 1669 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 10*s**2 - 12*s - 10. Let g be m(-11). Let u(n) be the first derivative of 7*n**4\/4 + n**3\/3 - n**2\/2 - 1. Give u(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d - 20. Let i(o) = -5*o - 7. Let l be (3\/6)\/(1947\/648 - 3). Let q = -116 + l. Calculate q*i(n) + 3*h(n).\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-70)\/(-4)))\/(-8 - -5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/26 and -223\/5460?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3187406 minus 4.5?\nAnswer: -3187410.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/4, 1\/5, -0.2, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -1\/9 (c) 462 (d) 4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 41*t + 585. What is the least common multiple of a(16) and 2?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**3\/3 + 15*a. Let c(b) = 2*b**2. Determine l(c(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3439753 grams to micrograms.\nAnswer: 343975.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 10*x**2 + 26*x - 25. Let d be o(11). Let l = -13 - -21. Suppose -t + l*t = d. What is the remainder when 34 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(-42800*p**3 - 784*p**2 - 797*p**2 + 1581*p**2) in the form t*p**3 + k*p**2 + d*p + i and give t.\nAnswer: 85600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose 0 = p*a + 5 - 49. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceghtqcqh. Give prob of sequence cgt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 5\/12*g**4 + 3*g - 1\/2*g**3 + 0 + 3*g**2 - 1\/20*g**5. What is d(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 + 3*u - 5. Let f(t) = t**3 + 9*t**2 + 8*t - 4. Let g be f(-8). Is o(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/60 + 5*s**4\/6 + 7*s**3\/3 - 2*s**2. Does 19 divide n(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*z**2 - 68*z**2 - z**3 - 70*z**2 + 272*z**2 + 30*z**3 - 69*z**2.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585676864?\nAnswer: 2, 24776201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 20 = 5*t, 2*b + 3*t + 7 = -18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -11. Let z be ((-6)\/(-9))\/((-2)\/c). Let a = z + 5. Solve a*o - o = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/60 - d**4\/3 + 5*d**2. List the prime factors of q(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 4*k + 18*k - 7*k - 74 - 8*k.\nAnswer: -k - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-25)*r*r**(2\/53)\/r assuming r is positive.\nAnswer: r**(1380\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 571346 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -0.04, -3.2, -299, 1, 8 in increasing order.\nAnswer: -299, -3.2, -1\/9, -0.04, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0.06, -0.2 in decreasing order.\nAnswer: 0.06, -0.2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/378 and ((-74)\/36)\/(5\/(-165)*-11).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 25*d - 14. Let o be q(10). Suppose -o*r = -35*r - 29. Let h(g) = r - 12 - 17 - 26*g. Let v(k) = -k. Give v(h(m)).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 156*q + 2995. Calculate w(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-3 + -3 + 54 - (15 - 13))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/16)\/(5\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*z - 46*z + 51*z.\nAnswer: 99*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67.824 + -191.\nAnswer: -123.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1 - 17\/(-9). Let b = 0.1 - 0.21. Let c = b - -0.61. Put h, c, -1\/6 in ascending order.\nAnswer: -1\/6, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3853 in -3\/2, -0.5, 0.4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and -8628.\nAnswer: -8637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2672*k**2 + 7731*k wrt k?\nAnswer: 5344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13751, -15166, -16579, -17990, -19399?\nAnswer: -20806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12336546282 + 0.3?\nAnswer: 12336546282.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oto when three letters picked without replacement from {o: 5, t: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3 - 5*(-31112)\/120 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69200 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.096 - -0.304. What is the closest to 10 in 8, 1.1, 0.3, k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**2. Let z(l) be the first derivative of -1\/6*l**3 - 10*l - 4 + 0*l**2. Let x(i) be the first derivative of z(i). Determine y(x(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*v - 105*v - 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from gaflfalafgdaglaa?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41246715 to the power of 1\/2, to the nearest integer?\nAnswer: 6422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*n + 29*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43833, -86933, -130023, -173103, -216173, -259233, -302283?\n\"Answer: 5*b**2 - 43115*b - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138*15\/12*(-56)\/20. Let h = 1447 + q. Calculate the remainder when h is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5557 times -63.4\nAnswer: 352313.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16561 - -16544.9896. Let j = s + 16. What is j rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245326 is divided by 1555.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 6}. What is prob of picking 4 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 524*x**3 + 20016*x**2 - 140464*x - 365120 = 0. Calculate x.\nAnswer: -163, -2, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let m be (-4)\/(-22) + (-62)\/(-22). Suppose -x + m + 8 = 0. Let j(i) = i**2 + x*i - 11*i. What is r(j(y))?\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14480a4 (base 11) to base 16\nAnswer: 25eb63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/16, -2\/57, 112, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 + 0*l**2 + 2*l**4 + (-2 + 2 - 8*l)*(4*l**3 - 3*l**3 + 0*l**3) - 3*l**4 + 3*l - 3*l to t*l**2 + f*l**4 + q*l**3 + i + x*l and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42540 is divided by 157.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9726, -9715, -9696, -9669, -9634?\n\"Answer: 4*u**2 - u - 9729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {u: 4, t: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:00 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 s when four letters picked without replacement from {s: 8, d: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4)*(-10*z + 7*z + 20*z)*(0 + 2 - 4).\nAnswer: 136*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 times -105.87?\nAnswer: -57699.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**4 - 17*i**4 - 4*i**2 + 16*i**4 + i**2 - 398*i + 2*i**2 to f + s*i**3 + a*i + t*i**4 + g*i**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 3*n)*(0 + 1 + 0) - 1 + 2*n + 1)*(0*n**3 + 3*n**3 - 2*n**3).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499 = 67*z + 171 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 29784?\nAnswer: -29782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5*y - 7. Let m be l(-6). Let t(q) be the first derivative of -7*q**4\/4 + 2*q**3\/3 + q**2 + q + 17. Determine t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z. Let q(l) = 0*l**2 + l**2 + 9*l**2 - 4*l**2. Determine q(m(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 36*u**2 - 10*u - 487. Give j(36).\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.6 - 23.2. Suppose 5*y + l = -2*l - 1, 0 = 3*y - 2*l - 7. What is the smallest value in m, 2, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1051, -1038, -1025, -1012, -999, -986?\n\"Answer: 13*r - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 2\/3, -30\/197, 0.1, -1, -19, -4?\nAnswer: -30\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.5391 millennia in decades?\nAnswer: 83653.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 379 + 377 = 0. What is the highest common factor of 158 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*g + 3814 = 105*g. Let i = 1202 + g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 247, 365, 479, 589, 695?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -570.462 + 25.462. Which is greater: d or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*v - 2*h - 9, -2*v - h = -7. Suppose -v*i - 20 = -m, m + 6*i = i + 36. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -55*a. Let f(k) be the second derivative of k**4\/8 + 31*k**2 - 174*k. Let c(z) be the first derivative of f(z). What is c(d(l))?\nAnswer: -165*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 70*a**2 - 25667*a - 783. Calculate m(199).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -19.4. Which is the closest to 2? (a) m (b) -4\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 7*b + 55. Let x(s) = 33*s**3 + 2*s**2 - 1. What is x(b)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -18?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 8 + 7)*(-14 + 2*b - 3*b + 12).\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 908*i - 914. Let b(v) = 6*v**2 - 2725*v - 2744. Let n(q) = 13*a(q) - 4*b(q). Factor n(c).\nAnswer: 2*(c - 453)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7 - 2*a - 3 - 5 + 3*a**2. What is the tens digit of i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 484*j**2 + 26*j - 25. List the prime factors of w(1).\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 665 - 34?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20119, 28484, 36849, 45214?\nAnswer: 53579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*f*x**3 + 890*f*x**2 + 97085*f + 4*x + 19 wrt x?\nAnswer: -96*f*x**2 + 1780*f*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -130213 (base 4) to base 2\nAnswer: -11100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1694*d + 999*d - 4799*d as b*d + q and give b.\nAnswer: -5494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (1\/(0 + 1))\/(1\/22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a = 702. Let v = a + -127. Does 44 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 + -1f8b7?\nAnswer: -1f895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -166709.\nAnswer: -166712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7d9 (base 15) to base 12\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -248, -5 in decreasing order.\nAnswer: 70, -5, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*c + 131 = 2*c, 300 = -5*p + 3*c. Let k = p + 213. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - (-21 - -19)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2239 rounded to zero decimal places?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -644?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 n when three letters picked without replacement from unnuuu?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 18*m - 1. Let w(v) = -44*v**2. What is p(w(q))?\nAnswer: -792*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251402487 to the power of 1\/3, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o + 21. Let f(r) = -4*r - 20. Let b(g) = -4*f(g) - 3*x(g). Let k be b(0). What is the highest common factor of k and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 110010111?\nAnswer: -110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 9, 30, 71, 138, 237, 374, 555?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + -4. Let p(f) = f**2 + f - 1. Let q(o) = 10*o - 21. Let v(a) = p(a) + q(a). Let k be v(g). Solve 3*y - k*y = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((60\/(-150))\/(740\/(-50)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7923389 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64*p**3*x + 132*p**3 - 4*p*x - 7608*x - 3 wrt p?\nAnswer: -192*p**2*x + 396*p**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 8*j**2 - 12*j - 15. Calculate the least common multiple of x(-7) and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 0.27?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2211, 2\/9, -5, -1\/17, 64?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 10 = -5*o. Suppose -s + o*u - 3 = -23, 0 = 3*s + 3*u - 105. Let z(h) = 10*h**2 - 3*h + 6. Calculate the remainder when z(3) is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 246\/679 - 147247\/348327. What is the common denominator of 67\/2 and a?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -9\/19405?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-9 - (-1 + -36 - (94 + -74)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115\/(-23)*4\/50)\/((-4)\/(-260))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2 and -53\/2732292?\nAnswer: 2732292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-19)\/(-2))*2. Let l = -83 - z. Let i be l\/63 - -1*2. Is i smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180 + 99. Let h = -78 - i. What is the remainder when (-38)\/(-4)*(-1 - -3) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 - 4 = 0. Let d be (-10)\/(-4) + k\/(-2). Factor -1\/3*c**3 + 0 + 0*c + 0*c**d + 0*c**2 + 1\/3*c**5.\nAnswer: c**3*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1929 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3513 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 15*h + 2. Let y be i(11). Let o = y - -46. Suppose 10 = -m + 5*x, 6*x - x = o*m - 5. What is the biggest value in 1\/2, m, -21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/f**(-12)))\/f**(1\/26)*(((f**(-35\/6)*f)\/f)\/f)\/f**(-6) assuming f is positive.\nAnswer: f**(-502\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3650 + -3?\nAnswer: -3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -660 - -1024. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, s: 1, k: 7, i: 1, m: 5, g: 2}. Give prob of sequence mmgk.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 12384.\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 9. Let d be z(-2). Calculate the highest common factor of 60 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/23566 or 0?\nAnswer: 3\/23566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -u - 3831, -4*w - 7659 = 5*u. Let l = w - -3289. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101001001110 (base 2) in base 3?\nAnswer: -2122001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -95268*t**2 - 136*t + 136. Let a(p) = 4142*p**2 + 6*p - 6. What is -68*a(b) - 3*o(b)?\nAnswer: 4148*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 21 + 87 + 3 = 4*i, -25*x + 50 = 2*i - 11*x for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 16*s**4 + 34 - 18*s**2 - 32 - 2*s**3 - 24*s**4 to the form l*s**3 + q*s + z*s**2 + i + b*s**4 and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/360 + (-16)\/(-36)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 4*j**2 - 6*j - 75. Let d(l) = -10*l + 8. Let c(h) = -3*d(h) - 4*o(h). Let z(i) = 308*i**2. Calculate z(c(t)).\nAnswer: 1232*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:28 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*f - 4*f + 4*f)*(3 - 6 + 2) + 15*f - 6*f + 30*f)*(-2*f + 0*f + 3*f) + (-5*f - 15*f + 22*f)*(-f + 0 + 0) to s*f**2 + t + i*f and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 1, f: 1, w: 1}. What is prob of picking 1 w and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -a + 148, 0*c = -c + 1. Let z = -36 - -42. Suppose 2*s - r = -z*r + 51, 0 = 4*s + 2*r - 78. Calculate the greatest common divisor of s and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7389053, -7388780, -7388509, -7388240, -7387973, -7387708, -7387445?\nAnswer: -7387184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 599 - 594. Solve -5 = -5*m + b*g - 0, 2 = -4*m + 2*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22e + -95?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/5)\/(((-264)\/(-27))\/(-4)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let w = -0.42 + 0.42. What is the second biggest value in w, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*h**3*i*w**3 + 5*h**3*w**2 - h**3*w + 6*h**2*w**3 - h**2*w - 68*h*i*w**2 + 6*h*i*w + 146*i*w**3 + i*w wrt w.\nAnswer: 810*h**3*i + 36*h**2 + 876*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 9*c**2 + 4*c - 1. What are the prime factors of t(-6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 201. Let r(s) = -2*s + 2. Determine 4*r(m) + w(m).\nAnswer: -3*m - 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 66?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19926 (base 11) to base 9\nAnswer: -42038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 493.926 seconds?\nAnswer: 8.2321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Find the third derivative of m*r**2 - r**2 - 2*r**2 - 4*r**3 wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 19*q - 15*q + 11 - 2*q. Let u(z) = z + 5. Let m(r) = 7*u(r) - 3*v(r). Determine m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55771 is divided by 13936.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, f: 4, g: 2, c: 1}. Give prob of picking 1 c, 1 i, and 2 f.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 l when four letters picked without replacement from ttallklata?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 65447351\nAnswer: -13089470.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b. Let g(x) = x + 2993820. Determine n(g(m)).\nAnswer: -3*m - 8981460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207909.81 + -91199.2. Let a = r - 116701.009959. Let b = -9.6 + a. What is b rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24986 (base 11) to base 6.\nAnswer: 433405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**21\/b*(b*b**(-1\/2))\/b assuming b is positive.\nAnswer: b**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 4 + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*w + 6*n - 23, 5*w - n = 11. Suppose 4*k = w*k + 37. Is (k\/(-2) + 0)\/(1\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 962 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3*y**2 + 1005*t**3 + 3*t**2*y + 67*t**2 - 3*t - 37092*y + 3 with respect to y.\nAnswer: -2*t**3*y + 3*t**2 - 37092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 17.4. Let x = -2.8 - s. Sort x, 3, 4, -3 in descending order.\nAnswer: 4, 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4499, -18011, -40525, -72035, -112535, -162019, -220481?\nAnswer: -287915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhnnnnnhnn. Give prob of sequence nh.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/8 + 8)\/(36\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49404952343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817*w + 1637*w - 2 + 2 - 815*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288741687 to the nearest integer?\nAnswer: 16992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.5 + 1.8. Let p = -6 - s. Let w = 67 - 69. Which is the nearest to 0.1? (a) 0.2 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 526556*p**5 - 281*p**3 - 166625823*p wrt p?\nAnswer: 10531120*p**3 - 1686*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unyzwuygwuwwwuu. Give prob of sequence yy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-4) + 32\/(-24)*30\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 12:15 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 929976.8mm in kilometers?\nAnswer: 0.9299768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -9 + 25. Let f = -70 - -104. Let j = f - 34. Solve j = 5*u - l + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86.2 + -80.2. Which is the nearest to -0.1? (a) m (b) 1\/3 (c) 1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*j + 34 = 0, -10 - 20 = -3*w - 3*j. Suppose -2*m + w = -3. Let r(d) = -d**3 + 8*d**2 - 9*d + 5. What is the remainder when r(6) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1252 and 10?\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/49 + -223\/147. Let b(o) = o**2 + 5*o - 9. Let u be b(-6). What is the third smallest value in 2\/5, u, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135.84 bigger than 571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 61e5 (base 15) to base 4\nAnswer: 11003102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjzmjzjmjjjjm. Give prob of sequence jmm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 5*r**2 - 4*r - 3. Let p be s(6). Calculate the greatest common divisor of 54 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 159354, 319579, 479804, 640029?\n\"Answer: 160225*i - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s - 294972 + 295308 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 4*g + (-2*g + 2 - 2)*(-1 + 1 - 2) + 2*g - 3*g + 2*g - 2*g + 2*g + 2*g)*(125*g**2 - 212*g**3 - 125*g**2).\nAnswer: -1272*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbsb when four letters picked without replacement from ssssbsssbbsssssbbbss.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3\/2, 1, 5\/7 in descending order.\nAnswer: 1, 5\/7, -3\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-2304)\/112) + 12\/(-21)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -164*r + 8976. What is u(54)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 285 - 284.6. Let i = 0.12 + 2.88. Let f = -4 + i. Which is the smallest value? (a) v (b) f (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2871*b - 10 = 2861*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5546\/4149 or -1?\nAnswer: -5546\/4149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 + -15104205?\nAnswer: -15104002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.59 + 1.59. Which is the closest to d? (a) 4 (b) -0.2 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12026 - 11919. Solve -110*m + 9 = -v*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*4*-3)\/(sqrt(24)\/(sqrt(10)\/sqrt(5))) + 2.\nAnswer: -12*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, d: 5, k: 1, s: 1, g: 1}. What is prob of picking 3 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g**3 + 1)*(439 - 195 - 228)*(-15 - 6 + 5).\nAnswer: -256*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*m = 944, 165 = 3*t - 2*m + 873. Let i = -106 - t. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-233)\/(-2330) - 13\/80.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0*f + 14 = 4*o, 0 = f + 2*o - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 3. Suppose 4*j + 0*b - 2*b - 30 = 0, a*j = b + 20. Solve -j*p + 5 = 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) + -2 + sqrt(1216) + sqrt(1216))*3)**2 + (-5*sqrt(342)\/sqrt(6))\/sqrt(3))*-2.\nAnswer: -197064 + 1738*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 6*p + 3. Let d be v(6). Suppose -7707*q = -7690*q + 102. Which is the biggest value? (a) d (b) q (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.17 (b) -3\/17 (c) -4\/3 (d) -11.1 (e) 18.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(11 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r**2 - 456*r + 817. Determine o(36).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55953 is divided by 55817?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 277*g**4\/6 + 399*g**2\/2 + 4*g + 78. Differentiate z(o) wrt o.\nAnswer: 1108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 144?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 74\/1147 + 678\/62?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/8 + 2\/4. Suppose q*b = 10 + 18. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 + 13\/3. Let z(w) be the second derivative of -w**5\/20 + 7*w**4\/12 - w**3 - 12*w. Calculate the remainder when 95 is divided by z(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14412 divided by 27.\nAnswer: 4804\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 861*g**2 - 87*g - 87. What is the hundreds digit of n(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202 - 0?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*o - 29 - 83, -64 = -3*c + o. What is the remainder when 505 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 7. Let x(o) = o - 2. Let z(d) = -2*s(d) - 7*x(d). Let r(k) be the first derivative of 8*k**2 - 8*k**2 + 1 - 7*k**2 - 11. Determine z(r(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11999 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14932.\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.139 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -124 in decreasing order.\nAnswer: 2, 1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 15*k = -17*k + 312 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.149 + -0.11. Let q = -9.42 + 9.401. Let c = q + u. What is the third smallest value in 1\/2, -3, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*c - 1197*c + 116626 + 17564 = 0 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 3092?\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*d*q**4 + 3951*d*q + 10*d - 59906*q**3 - 259*q**2 wrt q.\nAnswer: 7440*d*q - 359436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*1)\/sqrt(10) + sqrt(8))\/(-1*sqrt(324)) + ((-2 + sqrt(200))*-1)**2)*1.\nAnswer: -362*sqrt(2)\/9 + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.1432, -0.3, -0.09, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7575343?\nAnswer: 37, 53, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169849*s - 4*i + 5 = -169846*s, 4*i = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = 2*d - 6*d, 5*d = 0. Suppose -4*k + r*z = -2020, -4*k + 2524 = k - 2*z. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23505, -18892, -14277, -9660, -5041, -420?\n\"Answer: i**2 + 4610*i - 28116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8075552 divided by 9?\nAnswer: 8075552\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(78) + (-1*sqrt(78) - sqrt(78)))\/sqrt(6) + sqrt(13) + sqrt(13) + sqrt(13) + -4*(sqrt(13) - sqrt(52)\/sqrt(4)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -2013180.\nAnswer: -1\/134212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v*y**2 - 293699*v + 102956*y**2 - 2*y wrt v?\nAnswer: 2*y**2 - 293699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s**2 + 7282*s + 4852 = 0.\nAnswer: -1213, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 419\/102 + -84\/17. Let m = -180.06 - -180.19. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.049 + 1.851. Round c to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let u = -15 + 28. Let p = u - 19. Let f(h) = -15*h**2 - 5*h - 1. Let i(l) = p*g(l) - 2*f(l). Factor i(r).\nAnswer: 2*(3*r + 1)*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n - 2. Let t be f(-1). Solve t = 2*u + 2*k, -k = -0*k - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -174*a - 10. Let i(m) = 523*m + 26. Determine 3*i(l) + 8*o(l).\nAnswer: 177*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.721 + -11.721. Which is the third smallest value? (a) d (b) -3 (c) 3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, q: 13}. What is prob of picking 2 v?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8610, -17214, -25814, -34410?\nAnswer: -43002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = -71. Let f = 125 - o. Calculate the greatest common divisor of f and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1167\/8102?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3*g + 6356 - 6291 = 0, -3*w + 3*g + 39 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 41 + 1. Put r, 0, -59 in ascending order.\nAnswer: -59, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-3)\/((-243)\/(-3)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:13 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 30. What is the tens digit of (-38)\/u*(-42)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - -1 - (-59 - (23 - 50) - -21).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-32))\/(44\/(-176)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262515464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87\/622 + 162404\/1162207. Let u = 227979\/164428 + k. What is the common denominator of u and ((-194)\/8 - 0) + 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6798564*-0.1\nAnswer: 679856.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000526 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 5. Let p = h - 10. Suppose 0 = 2*d - p*d. Solve d = q - 5*q - 2*o - 6, 3*q = -3*o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 489840 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let a(w) = -6261734*w. What is a(p(r))?\nAnswer: 6261734*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = m, -m + 12 = 2*f. Suppose m*w - 2 = -5*o, 3*w + 4*o + 0 = 1. Suppose 3*s + w*b = 27, s + 47 = 6*s + 3*b. Solve -k - k + s = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16404928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 15. Let v be c(11). Suppose v*n = 7*n - 72. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2147301 and 11.\nAnswer: 23620311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*o + 162 = 2*x, x - 34 = o. List the prime factors of 3 + 0 + 3 + x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -24*d**2 - 5*d - 5. Let u(c) = 145*c**2 + 29*c + 29. Calculate -29*g(o) - 5*u(o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11545)\/(-10)*(-48)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 116*j - 98. Let d(o) = -18*o + 111. Let w be d(6). Let h(f) = 2*f - 1. Let s(n) = w*h(n) + v(n). What is the first derivative of s(k) wrt k?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - q**2 + 8*q - 2*q**2 + 2*q. Let g be m(-10). Suppose g = 5*h + u - 18, 26 = 4*h - 8*u + 3*u. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (103 - (-1 - -1))\/(30\/(-36)). Let j = 124 + r. Which is the smallest value? (a) 29 (b) -0.4 (c) 3\/2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138924 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:12 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/693, 0.9, -21?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 269142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 v when three letters picked without replacement from uvnfyfnyyfaayv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 36. Let b be (3 - -4)\/(-7)*(-16 - 2). Let z = b - o. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5 - 18*n**4 + 126*n**3 + 24*n**2 - 387*n - 270 = 0 for n.\nAnswer: -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -20, -1\/2, 3 in ascending order.\nAnswer: -20, -1\/2, -0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/((-12)\/544). Let p = 148 - m. What is the highest common factor of p and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**4 + 58 - 112 - 14*a + 54 wrt a?\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1254 and 153450.\nAnswer: 2915550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 137 in descending order.\nAnswer: 137, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 941 + -926. Factor 3\/2*p**5 + y*p**2 + 15\/2*p + 15*p**3 + 15\/2*p**4 + 3\/2.\nAnswer: 3*(p + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2030 = x + 28*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, -1\/493, -0.1, -4, -1 in increasing order.\nAnswer: -5, -4, -1, -0.1, -1\/493, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2172 - 1505. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 6*n. Let z be w(-6). Factor -2\/9*s**4 - 2\/9*s**5 + z*s**3 + 0*s**2 + 0 + 0*s.\nAnswer: -2*s**4*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 0*m - 3*m)*(-1 + 0 + 0)*(5 + 2 - 5) to g + s*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -17.8. Let i = -5498.9 + 5499. Which is greater: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1293744 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7*c + 1. Let b(v) = -v**3 + 2*v**2 + 4*v - 1. Let l be b(-3). Suppose -l*s + 37*s - h = 37, -2*s + 6 = 4*h. Calculate i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {o: 1, d: 1, h: 2, c: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/13))\/d*d**(-3))\/(d\/(d*(d**(2\/3)\/d)\/d))**(-4\/3) assuming d is positive.\nAnswer: d**(-161\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 1\/21*k**3 - 1\/84*k**4 + 0 + 1\/420*k**6 + k**2 + 0*k - 1\/210*k**5. Solve f(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1217, 1227, 1215, 1169, 1077?\n\"Answer: -2*o**3 + o**2 + 21*o + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4864, 10252, 15640, 21028?\n\"Answer: 5388*r - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/21)\/x**(14\/9) assuming x is positive.\nAnswer: x**(-104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -33 (b) -54 (c) 1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*y + 4005 - 984 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199410 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 28*o**2 - 66*o - 191. Calculate r(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 + 215. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3 - 2*k)*(k**4 + 3*k**4 + 8*k**4).\nAnswer: -24*k**5 - 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0547 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/24 and 47\/2534286?\nAnswer: 10137144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))\/p)**(-1\/22)\/(p**(-1\/12)\/((p*p**(1\/11))\/p)) assuming p is positive.\nAnswer: p**(29\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229370.423337531 + -0.3.\nAnswer: -229370.723337531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 22\/3. Let z = 2 - 2.01. Let y = z + -0.99. Which is the nearest to h? (a) y (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-48)\/567)*(-624)\/936?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*s + 27 - 11 = 0, 4*s = -d + 20. Solve 10*h = 12*h + d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r + 224. Let l be v(-11). Solve l - 6 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**3 + 28*m - 160. Give w(5).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 + 19*n - 79. Let r be v(10). Suppose -9*q - 5*j - r = -13*q, -2*q + 5*j = -293. What is the remainder when q is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 416 - 421. Which is the fourth smallest value? (a) 1\/19 (b) -4 (c) 3\/2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-5) + (1 - (-3)\/(-5)). Is (c*-3 - 16354\/(-51))*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 5078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69*((-7)\/(-70) + (-34)\/204)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32519\/4 - 3\/(-12). Let h = 162517\/20 - d. Calculate the common denominator of h and -107\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m + 1. Suppose 3 = 4*y - y + 3*i, -2*i - 22 = -2*y. Let s = y + -4. Calculate c(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2. Let l = -12244 + 12246. Let z(r) = 2*r**3 + 5*r**2. Calculate l*z(i) - 5*a(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6976 - -6979. Let h = -2 + 1.8. What is the third biggest value in n, h, 2.02?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57033 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: Solve 2151*r = 2144*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 4*j + 3. Let g be a(4). Let k = 8 - g. Which is greater: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(95) - sqrt(95)) + sqrt(95))\/(-2*sqrt(15)\/sqrt(3) - sqrt(5)) + -2.\nAnswer: -2 + 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 759 in descending order.\nAnswer: 759, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1032224 by -37.\nAnswer: 1032224\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83251*o + 83311*o - 420 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 28*o - 3. Let q(c) = -c**2 - 15*c. Let b(u) = k(u) - 2*q(u). Suppose b(i) = 0. Calculate i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/18 and 0 - 1690\/(-294) - (-215 + 221).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2 = -2*f, -5*f - 45 = -y - 4*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 11 = -4*y + 4, -5*w - 4*y + 11 = 0. Solve -9 = w*o + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 229.\nAnswer: 15\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 320 - -288. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - o**4 - o**4 + (7*o - 4*o + 3*o)*(0 + o**3 + 0) + 2*o**4 + 5*o**4 - 3*o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 5*f - 4. Let o be p(2). Solve -27 = 6*h - 3*h - 5*c, 2*h + 2*c = -o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*l - 52, -5*l - 112 = 3*j - 34. Let s be -2*(-6)\/(-54) + (-94)\/l. Let z be (-2)\/2*(0 - 1). Solve z = y, 0 = 3*o - 0*y + s*y - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -315*b - 1017. Let o be p(22). What is o rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = d - 2*d. Let y = -31 - d. Let l = -9 - y. What is the least common multiple of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 18. Suppose r = -3*w + 4*w + 14, -2*w = -r + i. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9333a1 (base 11) to base 14.\nAnswer: -2adc13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22531 - 22532. Let d(u) = u + 8. Let h be d(-8). Put 1, h, -2, g in descending order.\nAnswer: 1, h, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120413 + 14?\nAnswer: 120431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 439 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + 2*o**2)*(-9 - 4 - 3)*(-o - 4*o + 6*o).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121\/7 - 17. Let y = -0.6 - -0.4. Which is the third smallest value? (a) y (b) z (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/j*j**(1\/12)*j**11\/j**8)**(1\/25) assuming j is positive.\nAnswer: j**(-11\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5595988*s**2 - 11192003*s**2 + 5595960*s**2.\nAnswer: -55*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 5 + 0*m**2 - 2\/15*m**3 - 1\/200*m**5 + 1\/20*m**4 + 29*m. Let f(s) be the first derivative of x(s). Factor f(d).\nAnswer: -d*(d - 4)*(d - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48\/947, -2, 3 in descending order.\nAnswer: 3, 48\/947, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -3)*(-15)\/(-3). Let k(y) = -y**3 - 12*y**2 - 15*y + 13. Let c be k(-11). Calculate the remainder when 13 is divided by 6\/10 + c\/a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683515272 by 11352.\nAnswer: 60211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*i - 24, -3*r = -24825*i + 24827*i + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvgggbbbvggjfb. Give prob of picking 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 565806 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l\/((l\/(l\/(l**16*l)))\/l)))*l)\/l*l*l)\/l**(-1\/4)*(l*l\/(l**40*l*l))\/l*l**(37\/5))**(1\/7) assuming l is positive.\nAnswer: l**(-927\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p - 19. Let y(d) = -d - 2. What is l(v) - 6*y(v)?\nAnswer: 15*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40*(-33)\/(-770))\/(3\/14*1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 17 - 39. Let b = 54 - n. Let c = 19 - b. Calculate the common denominator of c and 50\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 108355*t + 108356.\nAnswer: -(t - 108356)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*x + 368*x + 11360 = 677*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 5*y - 11, 2*v - 23279 = 9*y - v - 23276 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/4, 14, 0.5, -3\/2, 2\/9 in decreasing order.\nAnswer: 14, 0.5, 2\/9, -0.2, -3\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, k: 5}. Give prob of sequence dk.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -63*n**3 - 24*n**2 - 54*n - 6. What is the least common multiple of 561 and j(-2)?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111100000100111000 (base 2) to base 13\nAnswer: 364384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = 9. Suppose 6 = -4*a + 2*a, 2*h - i*a - 52 = 0. Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -145*k - 680. Determine y(-8).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3197 + 3239 = -n, -2*n - 109 = -13*y for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3)*12\/(-8). Let y be (1 - n - 1) + 4. Let j(s) = y*s**2 + 0*s + 0*s. Let l(z) = -2*z. What is j(l(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.548 rounded to 1 dp?\nAnswer: -33.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 114.93. Let n = 4.83 + d. Let h = n - 2.9. What is the smallest value in 2, h, -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + 22\/(-24). Let y = -5 - -4.7. Let l = -1.3 - y. Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h = -7*h + 372 - 4772. What is the greatest common factor of 225 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2709 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 4*m**3 - m + 3*m**3 + (m - m + 2*m)*(-5*m**2 + 0*m**2 + 2*m**2) + (0*m + m**2 + 0*m)*(-84 + 9*m + 84).\nAnswer: 2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 4*w**3 - 4*w**3)*(5 + 7 + 1).\nAnswer: 65*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n**2 + n**2 - 7*n**2 - 57697*n - 1 + 57700*n. Let o(f) = 5*f**2 - 4*f + 1. Give 3*d(z) + 4*o(z).\nAnswer: 2*z**2 - 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -y + 8, -y = -0*n + 3*n + 8. Let p be (-2 - 6)*y\/4. Suppose s - 87 = -4*q, -4*q + s + p*s = -93. What is the smallest common multiple of q and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -56, -2\/9, -2\/3, 2\/11, -3, -0.92?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 1.9. Suppose -46 + 46 = -4*l. What is the smallest value in s, l, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 30 = c + 3*g, -3*c + g - 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4740713 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7083592.\nAnswer: 2, 885449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -45. Let a be (q\/6)\/((-3)\/(-66)). Let u = a + 184. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 0*d + 3\/10*d**2 - 13 - 1\/5*d**3. Factor i(a).\nAnswer: -3*a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = 2*n, 4*n - 2*n - 8 = -x. Suppose 2*t + 2*z + 14 = 4*t, -x*z = 6. Let y = t - 2. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1546?\nAnswer: -1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1275?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Let u(t) = -8953475*t**2. Give x(u(v)).\nAnswer: 80164714575625*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/16 - 3*w**2\/8 + w\/2 + 11. Factor j(t).\nAnswer: (t - 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, -10, -952, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 3. Let u be i(-3). Let p = -11 - u. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2100 and 18?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 118 = -105 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1.9. Let j be (1\/(-21))\/(60\/14 + -4). Let v = -1.5 + 1. Which is the closest to q? (a) v (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.01115644 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8005114 - 0.0994216. Let j = 0.9 + q. What is j rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 21320 + 21542 = -108*r, -3*l + 1 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(405) - sqrt(405))**2 + sqrt(605)*2.\nAnswer: 22*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10322 is divided by 154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12913156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 31 (b) -2\/5 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 7)\/(4\/(-4)). Suppose -i = -4*p + 17. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.9 - 24. Let f = -6.9 + h. What is the nearest to -2 in -5, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*z + 174 - 26*z - 270 - 311.\nAnswer: 69*z - 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/198)\/((-84)\/(-11718))*4\/(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bb7bc (base 14) in base 8?\nAnswer: -7706472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/28, -1, 0.7?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1821040 divided by 2\nAnswer: -910520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396)*2)\/sqrt(11))\/(-1*sqrt(147) - sqrt(147)))\/((-5*sqrt(66)*-2 + sqrt(66))\/(sqrt(11) - 2*sqrt(539))).\nAnswer: 13*sqrt(2)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 take away 603712?\nAnswer: -604077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 667*a + 9 - 4 - 193*a - 5 to the form j + q*a and give q.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 94 = 2*x. Suppose -5*o + x = -3*o - 2*b, -b - 247 = -5*o. Suppose 14*l - 904 = -o. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 2381 + 4290 = 50*h - 1353 for h.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-12)*-107)\/(13\/(-195)). Let o = h - -544. Calculate the lowest common multiple of 1 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11858586 at most as big as -11858585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1076*v**2 - 94*v**3 + 286*v**3 - 99*v**3 - 95*v**3 to i + h*v**2 + k*v**3 + o*v and give h.\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111 (base 2) in base 6?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*j**2 - 1\/3*j - 2\/3*j**4 + 1\/3*j**5 + 0 + 0*j**3.\nAnswer: j*(j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 20*d**2 - 29*d - 10. Let j be o(-22). Let b = 345 + j. Solve -10 = -b*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + (10 - -39) + 26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17166.9 * 0.0735\nAnswer: -1261.76715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j. Let z(w) = -537*w**2 + 685*w. What is z(g(f))?\nAnswer: -43497*f**2 + 6165*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*a**2 + 1380151 - 4490*a**2 - 1380151.\nAnswer: -4381*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*n + 271 = 0, -373 = -112*s + 108*s + 3*n. Solve 0 = -103*z + s*z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7729087.\nAnswer: 113, 68399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + z)*(1 + 1 - 1) + (141 - 26 - 75)*(3 + 4*z - 3*z - 5).\nAnswer: 38*z - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136289273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24204 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:06 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5540*l - 4340*l - 4861*l - 2654*l as t*l + b and give t.\nAnswer: -6315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.01 - -0.09. Let p = -16 + 11. Let o = p + f. Which is the nearest to 1? (a) -3\/4 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 5. Suppose 0 = 159*p - 167*p - 88. Let i(t) = -16*t + 26. Give p*n(k) + 2*i(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 24)\/((-4)\/(8\/(-2))). Is 22 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 21) + -8 + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from prppprp.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-495) + 14\/(-45).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/d*d*((d*d\/d**(-1)*d*d*d)\/d)\/d*(d**1)**(1\/5) assuming d is positive.\nAnswer: d**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 - 0.0016?\nAnswer: 305.9984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(1 + 4 - 4)*(4*g - 5*g - g)*(-7*g**2 + 12*g**2 + 0*g**2).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 16 + 20, 4*q + 148 = -13*w + 2*w. Let l = -10 - -4. Let i be (8\/l)\/((-4)\/6). Put -35, q, -1, i in decreasing order.\nAnswer: i, -1, q, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4449182838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1569.31339 - -1601.313. Let r = 32.7 + -0.7. Let c = r - g. What is c rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-5) + (-2 - -1). Let v(j) = -2*j - 3. Let f be v(k). Let l(y) = y**2 - y**2 + 4*y - f - y**2. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/38 - -4\/19. Let f be 1462\/748 - (-10)\/(-4). Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -64. What is the third derivative of -10*q**2 - n*q**2 + 19*q**2 - 8*q**5 wrt q?\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l**2 + l - 1. Let y(v) = -47*v**3 - 5*v**2 + 5*v - 5. Give -5*m(q) + y(q).\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + 0 - sqrt(3) - (sqrt(48))**2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 653407711?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1359144198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*1)\/1 + 12. Let x = -6 - -5. Let f be (-33)\/(x\/1)*1. What is the greatest common factor of m and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1 - (-20 + 3). Suppose -y + 5*y + p = 3*r, r - 9 = 5*y. Suppose 0 = c - 0*c - r. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 7. Let x be g(-3). Suppose 0 = -5*p + 25, -3*p - 1 = -3*n - x*p. Solve 8 = 2*v - v + 4*k, 0 = n*v + 4*k - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {h: 9, a: 3, r: 2, b: 2, x: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1, -376, -1\/5, 0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3*q - 14 = 0, 0 = 30584*j - 30579*j + 2*q - 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1011.5 - 1012. Let k = -0.448 + 0.4. Let v = 0.052 - k. Which is the nearest to v? (a) z (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25 (b) 1 (c) -2 (d) 199 (e) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**8\/1512 + 26*f**7\/945 + 77*f**6\/135 - 484*f**5\/15 - 9*f**2 + 43. Factor d(v).\nAnswer: -2*v**2*(v - 22)**2*(v + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77468649.\nAnswer: 3, 1607, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2. Let o(i) = -i**2 + 17*i. Give o(n(l)).\nAnswer: -81*l**4 - 153*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 5:34 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5681*a**2 - 4130?\nAnswer: 11362*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4370 - -4372. Let d = -0.038 + 0.548. Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2354155 divided by 5.\nAnswer: 470831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16465.32 micrograms in tonnes?\nAnswer: 0.00000001646532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250.909989361 - -250.91. What is j rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7677 rounded to 2 decimal places?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -15*a + b - 20, -4*b = -5*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000101100100000111101 - 10?\nAnswer: -100000000101100100000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(5\/(-3686)))\/((-11)\/11*1). Calculate the highest common factor of g and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frffffrrfrrffrr. What is prob of sequence rr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165550 and 1925?\nAnswer: 165550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-307 - -281) + -3 + -3 + (12 - -2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -1700 - 4228. What is the greatest common divisor of 39 and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 4*l. Let x(g) = -2*g**2 - 3*g. Let n be (2 + -1)*(-9 + 9). Suppose n = -7*j + 4*j - 9. Determine j*t(b) + 4*x(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4 - 1 - 2 + 2*w. Suppose 0 = -3*k - 2*h + h + 41, -3*k + 2*h = -35. Let z = -7 + k. Determine y(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161454650*o**3 - 322909286*o**3 + 161454638*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 1:49 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 - m**4\/12 - m**3\/2 + m**2\/2 + m + 108. Suppose -5*g + 20 = -5*d, 4*g - 2 = 2*g. Is 14 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:20 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 5*i. Suppose -5*m - 2*b + 35 = -i*b, b = m. Let o(n) = -m*n + 2*n - 3 + n + 2 + 5*n**3 - n**2. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2918*n - 3611*n + 667*n.\nAnswer: -26*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38305 divided by -1.\nAnswer: 38305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 6.1, 15\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 22 = 18. Let o be 1\/4 - (-19)\/(-28). Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1067374*l**2. Let z(d) = 3*d. Give w(z(p)).\nAnswer: 9606366*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31414 + -31415. Let u be ((-3)\/(-42))\/(1\/(-326)). Let s = 23 + u. Which is the smallest value? (a) -8 (b) m (c) 2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.451266 nanograms to milligrams.\nAnswer: 0.000003451266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*y**2 - 496*y**2 + 307*y**2 - 487*y**2.\nAnswer: -994*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*o + 323*o + 336*o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u. Suppose -3*q = 5*d - 25, -3*d + 2*q - 6 + 2 = 0. Let p(y) = 4*y + 3*y + y - d*y. Determine h(p(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {i: 10, s: 2, p: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*l + 23. Suppose 14 = -t + 4*t + 4*d, l*t - 5*d = 0. Suppose 2047 = 5*n - i, -t*n - i - 3*i = -810. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 21 = 4*y - 59, -14 = -y + p. Calculate the smallest common multiple of 1 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14608 and 4272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1. Let d(a) be the third derivative of 2*a**3\/3 - 2*a**2. Let k(o) = -7*b(o) + 2*d(o). Let j(x) = x**2 + 6. Give -j(f) + 6*k(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 1:30 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/21 - 86*n**4\/7 - 2470*n**3\/21 - 650*n**2\/7 + 2468*n\/21 + 736\/7 = 0.\nAnswer: -8, -1, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-3*t**5 - t**5 - t + 0*t**5).\nAnswer: 12*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -64, -108, -158, -214, -276?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(4\/(-16)*-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {s: 2, o: 1, y: 6, m: 3, g: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1068, -1\/3 in descending order.\nAnswer: 0.1068, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:23 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -19058.88002614?\nAnswer: -19058.98002614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 1387247 = -35*n + 6422686. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m - 12. Let w be f(-2). Let d be (2\/(-10) - -1) + w\/(-5). Which is the second smallest value? (a) d (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 30216.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.12, 3\/7, -15, 52, -5\/284, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 26 = 11*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/19586450?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6327625 (base 8) to base 14\nAnswer: -31b673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 20*b + 11*b - 26*b + 11*b - 4*b**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087776 is divided by 4442?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058344.2 rounded to the nearest ten thousand?\nAnswer: 2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8728199 meters in micrometers?\nAnswer: 872819.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 497 = 2037. What is the tens digit of (r\/(-80))\/((-1)\/(-116))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -19*a**3 + 19*a**2 - 3*a + 9. Let p(o) = 30*o**3 - 38*o**2 + 5*o - 17. Determine 5*j(w) + 3*p(w).\nAnswer: -5*w**3 - 19*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-17)*j)\/j)\/(j*j*j**(-10)*j) assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34075654, 34075658, 34075666, 34075678?\nAnswer: 34075694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 175 in ascending order.\nAnswer: 0, 5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, -2\/119, -125, -8, 20?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:29 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/373290 and -149\/1947600?\nAnswer: 44794800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 - 18*n + 17. Let s be c(1). Solve -s*r = 10, 4*r + 3 = 5*v + 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d = 0. Suppose d = 3*v, -2*r - v = -4 - 2. Let x be r*8\/10 - 4. What is the closest to -1\/2 in 1\/5, x, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11856*r**3 + 724010 - 724010.\nAnswer: 11856*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.019, 12.6, -2?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -7. Let y = 18 - s. Let w(f) = 129*f + 1178. Let u be w(-9). Solve 3*r + u = x, 3*r + y*x = 3*x - 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ppee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291008 is divided by 367.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8078512.415 rounded to the nearest ten thousand?\nAnswer: 8080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -237*c**2*i*p + 8*c**2*m + c*i*m*p + i*m*p - 2*i + 70*m + 57*p wrt m?\nAnswer: 8*c**2 + c*i*p + i*p + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 24 - 12 - 12. Let q(d) be the second derivative of -10*d**3 + 22*d. Determine q(p(m)).\nAnswer: -120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - 2 - (5 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 13. Let j be d(4). Let s be 16\/56 - (-68)\/595. Solve 0 + s*i + 1\/5*i**j + 3\/5*i**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608 and 2888.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**27\/z)\/((z**26*z)\/z)*(z**(-24\/11)*z)\/(z*z**19*z) assuming z is positive.\nAnswer: z**(-244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1566760297 to the nearest integer?\nAnswer: 39582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.8454 + -0.0454. Let s = 2.8 - r. Let h = s - -38.9946. Round h to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1982, 1978, 1972, 1964, 1954, 1942?\n\"Answer: -w**2 - w + 1984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -695747?\nAnswer: -1\/695747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 4*k. Let o(x) = -11*x**2 + x + 34. Let j(r) = o(r) - 3*q(r). Determine j(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 2*v**2 - 4*v - 13. What is h(-6)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -515.631868 - 8.401832. Let h = -524 - s. Let u = h + -0.03. Round u to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -53, -1\/8, 2, 0.3, 0.5 in decreasing order.\nAnswer: 2, 0.5, 0.3, -1\/8, -6\/7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*i + 40. Let p = i + -18. Solve 0 = -c - p - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15 - 4 - 8\/(-2). Suppose 216 = -38*a + 42*a. Calculate the remainder when a is divided by l*(0 - (-4)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 701936 and 13854?\nAnswer: 2105808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -20)*(-2)\/4. Let y = 20 + s. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0348 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53528209851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853331.\nAnswer: 37, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64631224?\nAnswer: 2, 7, 1154129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522 <= -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -8.91.\nAnswer: -142.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10575 and 255162060?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 64027425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 3. List the prime factors of x(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 - -1)\/(-3)*-5. Let h = 30 - d. Suppose h*t = 4*t - 12. Solve 0 = 2*g + t*x - 5*x + 8, -g + 4*x - 7 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 15 = 37 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-5))\/((-6)\/45). Let t be (l - -3) + 6 + -11. Let w(n) = -3 + 3*n**2 + 0*n - 3*n + n**2. Let m(b) = -11*b**2 + 8*b + 8. What is t*w(f) - 3*m(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*a**3 - 26*a**3 + 1950*a**2 + 30 - 1953*a**2 to the form v*a**2 + y*a**3 + h*a + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*h - 48*h + 1518. Let b = h + -253. Let o(j) be the second derivative of j**4\/12 - j**3\/6 + 3*j**2\/2 - j. Calculate o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*g**4 - 3450*g**3 + 6772*g**2 + 4200*g + 576 = 0 for g.\nAnswer: -8, -6\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26741243 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11889, -97270, -329039, -780396, -1524541, -2634674?\nAnswer: -4183995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19543, 19704, 20125, 20932, 22251, 24208, 26929?\nAnswer: 30540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010788542 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0628 - -2.\nAnswer: 2.0628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 * -102231.\nAnswer: 3782.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -25 - (-6 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-16)\/z)*z**(-15\/8)*(z*z\/(z\/(z**25\/z)))\/((z**(3\/8)*z)\/z) assuming z is positive.\nAnswer: z**(163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - p**2 - 9*p + 6*p**3 + 9*p as s + c*p**2 + t*p**3 + i*p and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51772161973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4493927 to one decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 5, 0.034 in decreasing order.\nAnswer: 5, 0.034, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 - w + 2. Let z(p) = p**3 + 10*p**2 - p - 12. Let y be z(-10). Let r be ((-75)\/y)\/(-5)*2. Let n = r + 17. Calculate s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/1127 and -53\/3894084.\nAnswer: 190810116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 107795?\nAnswer: -22\/107795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-21))\/(2\/24). Suppose -8*m + 12 = -i. Solve m*f = f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13883525?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d, -2*o + 10 = -5*d + 4*d. Suppose -2*t + 8 + 24 = 0. Suppose -39 = -3*s + 3*a, t - 3 = s - 2*a. What is the remainder when s is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:24 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**4\/3 + d**3\/6 + d**2. Let j(w) = -w**3 - 11*w**2 + w + 12. Let g be j(-11). Determine t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let l(d) = -18*d - 2. Let i(s) = -43*s + 5. Let t(n) = i(n) + 2*l(n). Give t(v(p)).\nAnswer: -79*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(539) + -1 - sqrt(539) - sqrt(539)) + 0.\nAnswer: -7*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.7, 0.1, 0.3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -88, -120, -186, -298, -468, -708, -1030?\n\"Answer: -2*v**3 + v**2 + v - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/19523118?\nAnswer: -1\/19523118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-158 - 43 - 532 - 165)*(-r + 5*r - 2*r) to l + c*r and give c.\nAnswer: -1796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 3.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -1) + 8 + -50 + 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n + i + 7, 4*n = -2*i - 8. Let q be ((-2)\/4)\/((-14)\/28). Put -2, n, q in decreasing order.\nAnswer: q, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-79)\/(-9) + (-5)\/(135\/(-6)). Let l(w) = 5*w**3 + 13*w**2 - 9*w + 9. Let v(b) = 2*b**3 + 6*b**2 - 4*b + 4. Give g*v(f) - 4*l(f).\nAnswer: -2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 35.46\nAnswer: 46.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -39. Let r = 3 + -2. Let f(t) = 6*t**2 + 1. Let c be f(r). Solve 0 = -k - s + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497374 is divided by 286.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and 0.01549.\nAnswer: -0.0027882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27361175 (base 8) to base 5\nAnswer: -3033342304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:06 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 8:42 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84917307 is divided by 21229325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5625 + 7843 = -358*d - 2284. Sort -2, d, 70 in decreasing order.\nAnswer: 70, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -69*l - 99. Is 10 a factor of z(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -g + 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(3\/4))\/s)\/(s*s**(-3)))\/(s*(s**5*s)\/s*s*s**(-2)*s) assuming s is positive.\nAnswer: s**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 351*t**2 - 364*t - 951818 with respect to t.\nAnswer: 702*t - 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yimmil. Give prob of picking 1 m, 1 l, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(-20)\/100\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -818 - -853. Suppose -2*w - 17 = -5*i + 62, 3*w + 76 = 5*i. Suppose -3*u - m = -198, -i + 81 = u + m. Calculate the remainder when u is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4284 and 1865376.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -38. Suppose i*g + 2237 = 4*o, -3*o + 2230 = o + 2*g. Suppose -3*h + o + 93 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 9*l**2 - 7*l + 11. What is d(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -12. What is the second derivative of m*t + 1 - 5 + 4 - 15*t**5 wrt t?\nAnswer: -300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 + -58505?\nAnswer: -58415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*2*74\/(6808\/(-391))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*f + 24, -17 + 1 = 4*f. Suppose 4*n = 30 + t. Let m be (-2)\/(-9) + n\/(-54). Solve -2*y = -m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3601 + 510655?\nAnswer: 504054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(-3 + 96\/(-320)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 6, r: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 2*q + 7. What is a(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a\/(a**(-5\/2)*a)*a)*a))*a)\/(((a*a**(-9\/7))\/a)\/a) assuming a is positive.\nAnswer: a**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -437 (b) 5 (c) -0.5 (d) -35 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(1\/7))\/(w\/(w**(-17)*w)))\/(w**(-2\/13))**(1\/31) assuming w is positive.\nAnswer: w**(-41898\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3130, -3, 0, 5 in decreasing order.\nAnswer: 5, 0, -3, -4, -3130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let k(t) = t**2 + t. Let s(g) = -10*g**2 + 3*g. Let r(l) = 3*k(l) - s(l). Calculate p(r(u)).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1731 divide 38212511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 72*s**2 + 137*s + 91. What is the remainder when m(-70) is divided by 63?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let h be (-4)\/(-10) - 26\/(-10). Suppose h*u - 2 = 2*u. Does 13 divide (-1 + u)*39\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375) - 6*3*sqrt(375))\/(-1*-2*sqrt(363)).\nAnswer: -85*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose 4*j - s*j = 0, 5*c - 250 = 4*j. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 129\/(-15))*166\/341 - (-26)\/143?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52973137 is divided by 2207214.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 330994*d - 568853 wrt d?\nAnswer: 330994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30953 - 30952.8. Which is the fifth smallest value? (a) 5 (b) g (c) -4 (d) 3 (e) 70\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 149 = -107. Let m be 7*a\/(-56) + 30. What is the greatest common divisor of 221 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 23*j - 9. Suppose 4 - 8 = -f. Calculate the remainder when q(f) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10805 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21, 2, 5, -1, 7, -202 in descending order.\nAnswer: 21, 7, 5, 2, -1, -2, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 78592*b - 14925330 = 0. Calculate b.\nAnswer: -189, 39485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0 - 1\/3*n**3 + 1\/120*n**6 + 1\/4*n**4 - n**2 + 0*n - 1\/10*n**5. What is w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*t**2 + 2*t**2 + 176*t**2 - 1008*t + 167*t**2 + 1419 - 423 - 3*t**3.\nAnswer: -3*(t - 83)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 1640\/(-24))*(-15)\/4?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 402 + 532. Suppose i = 4*g - 2*u, 1 = -g + 2*u + 15. Solve g*h - 2 = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 28 - (23 - (1 - -15)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850327 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4 + 229*w**3 + 16758*w**2 + 390476*w - 407464 = 0?\nAnswer: -106, -62, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 0.1479?\nAnswer: -16.1479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/25, -14, 0.15, -0.5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 1583582.\nAnswer: 14252238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + q + 2, 2*j - 2*q - 2 = -q. Let m = 6 - 2. Suppose m*w - 2*w - 60 = j. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/2 + 16603*f**2\/2 - 141279*f - 149580 = 0?\nAnswer: -16620, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -994400 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -46. List the prime factors of (4 - -2)\/(i*(-2)\/(-15)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 53 + 60 - 3935*i**2 - 141 + 28. Let u(w) = w. What is c(u(x))?\nAnswer: -3935*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 14. Let r be y(5). Let j be 0 + -4 - (-7 + r - 1). Let f(n) = -n**3 - n**2 + n + 109. Does 64 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {i: 1, o: 2, t: 2, g: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -67, -127, -213, -331?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:57 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y + 49*y + 29*y - 145*y + 74*y.\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29045, 29054, 29063, 29072, 29081?\nAnswer: 29090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 247, 559, 997, 1561, 2251, 3067?\nAnswer: 4009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - k = -18, 6*l - 2*l + 7*k - 2 = 0. Solve -l*v + j + 15 = 0, -4*j + 13 = v - 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*j - 0*j + 3*u, -5*j + 2*u = 4. Let q = -2546.1 - -2546. Which is the nearest to -0.1? (a) -0.03 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -561+-8694088443\nAnswer: -8694089004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9574, 9570, 9566, 9562?\nAnswer: 9558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.65 + 0.05. Let z = k - 0.3. Which is the closest to 0.1? (a) -5\/6 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90.2 + -92.4. What is the closest to w in -1, 0.4, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:05 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(171) + 1*sqrt(171).\nAnswer: -1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 91.59 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.946 - 96\nAnswer: -91.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328461 + -328496.9962. Let j = 68 + -104. Let l = u - j. What is l rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1626880\nAnswer: 3\/1626880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729*t + 11734 - 59839 = -8836 + 21246 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 42*v**2 - 115*v + 90. Let r be (1\/(-1))\/(2\/(-22)). What is the least common multiple of u(-39) and r - 2*1\/2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15181284 and 4035.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, a: 10, n: 1, c: 2, v: 2}. What is prob of sequence vc?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 2*q)*(5 - 2 + 0)*(-2 - 3 + 3) + 41 + 28*q - 41.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/365, 4, 4\/133 in increasing order.\nAnswer: -44\/365, 4\/133, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 59. Let o = i + 46. Suppose -t - 4*t + b = -73, 2*t = 4*b + o. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.1 + -0.1. Let u = n + -18. What is the closest to u in 1, 5, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-702)\/1125)\/13*(-10)\/6?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31240.03 + 31240. What is the nearest to -1 in i, -209, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -445865, -892333, -1338801, -1785269, -2231737?\n\"Answer: -446468*x + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 217388652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:01 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 441*k**4 - 8673*k**3 - 136557*k**2 + 297354*k - 152568 = 0. Calculate k.\nAnswer: -163, -12, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**3 - 8*j**2 + 4*j + 4. Suppose -5*x + 2*v + 33 = 0, -4*x + 3*v = -38 - 1. Let q(p) = -8*p**3 - 7*p**2 + 3*p + 3. Determine x*s(w) - 4*q(w).\nAnswer: 5*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 30.000014. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olgwg. Give prob of picking 1 o and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3\/2 (c) 62 (d) -4550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/9*((-15)\/(-35)*7)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x**2. Suppose -5*m = 5*p - 110, 5*m + 4*p - 109 = -0*p. Let g be ((-18)\/63 - (-52)\/(-14)) + m. Let z(u) = 15*u + 4*u - g*u. Give z(j(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 5. Let v be q(-5). Suppose 2*o + 0*o - 2 = v. Let d = 0 + 1. What is the greatest common divisor of d and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12)\/240)\/(2\/(-204)) and -32\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y + 4*y - 3*y)*(-3 + 1 + 0) + 1 + 341*y - 232*y - 1.\nAnswer: 91*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 65*v + 420. Calculate p(71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10533 (base 6) to base 2.\nAnswer: 10111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 78. Let w = y + 123. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s + 9. Let u be v(0). Let t be (-5)\/30*u\/(-6). Factor -t*x**3 - 1\/4*x**4 + 3\/4*x**2 + 1\/2 + 5\/4*x.\nAnswer: -(x - 2)*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 23 = -13*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002934866895 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0 - 3*k**2 - 3\/20*k**5 - k**4 - 5\/2*k**3 + 6*k. Solve o(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23340414 (base 5) to base 10.\nAnswer: -215109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 668076 to the power of 1\/2, to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*y - 330 - 740, 4*y + 1066 = 2*h. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.4, 0, -14.\nAnswer: -14, -1.4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -0.2. Let i = 54 - 52. Let g be i\/5 + -4*(-65)\/100. Which is the nearest to 1? (a) g (b) 1\/10 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from {n: 1, z: 2, h: 1, b: 2, m: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-12))**(-19))**(-42))**8 assuming b is positive.\nAnswer: b**(-76608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 = -2*c + 17, 3 = -c + 3*b. Let u = c + -1. Solve -u = -2*a + w, 5*a + w = -w - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1278, 1.7, 3\/7 in descending order.\nAnswer: 1.7, 3\/7, 0.1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 0.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1000868 and 109736?\nAnswer: 58050344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(2)*-6)\/(sqrt(8) - sqrt(56)\/(sqrt(7) + sqrt(28) + sqrt(7))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.067 - 0.067. What is the nearest to i in 1, 1\/7, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let y(i) be the third derivative of -3*i**5\/5 + i**4\/24 + 9*i**2 + 14*i. What is o(y(f))?\nAnswer: 36*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/12 - 2*k**3\/3 - 12*k**2 - 4. Let p(b) be the second derivative of l(b). Let z be 14\/(-4) + (-2)\/(-4). Give p(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 9\/112 (b) 294\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 477920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82236 and 428736?\nAnswer: 38157504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010475 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12*w**2 - 1 + 3*w**2.\nAnswer: -9*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10 + 3\/(-35) + 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/200)\/(8982\/3992).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(36) - (sqrt(360)\/(sqrt(60)\/sqrt(6)) - sqrt(36)))\/(-3*(sqrt(512) + sqrt(32))).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -62, -59, -56?\n\"Answer: 3*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -0.00076 (c) -0.1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6130401 is divided by 295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1 - ((1 - -3) + 6)) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861562442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.2 - 58. Let v = -2.804 - -8.785. Let r = v + l. What is r rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = 0, 67*y + 4*u - 2685 = 64*y. What is the greatest common factor of y and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -128*t**2 + 14 + 2*t + 127*t**2 + 2*t + t + t. Calculate n(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.17, 170, 1.974?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0*i + 2*i + 3)*(346 + 894 - 798)*(3 + 3 + 0)*(i + i**2 - i) to the form d*i + u*i**2 + o*i**3 + a and give u.\nAnswer: 2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 23 (b) 148.3314 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 6. Let f be j(-10). Suppose f = k + 9. Let u = 106 + -58. Calculate the remainder when u is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.961267 decades to centuries.\nAnswer: 0.6961267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12282 and 25461?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/28 - (-2)\/8. Solve t = -4*x - 3*u - 10, -10 = 5*u - 0*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*n**2 - 2*n**3 + 85*n**2 - 42*n**2 + n to the form x*n**2 + s + g*n**3 + l*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 741924 and 201.\nAnswer: 49708908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 40*s**2 + 3469 - 4*s**2 - 3469.\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2.9\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 2*l, -218*g - l = -220*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1096, 0.2, 0.3, 1\/3, -3\/7, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 5*n - 4. Let u be y(4). Suppose u = -b - 2*b. Solve 0 = -2*q - b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 8*l = -12. Suppose -3*k + 117 = 3*j, -l*k = -j - j + 82. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u - 5. Let o(g) = -g**2 - 76*g + 2161. Let w be o(22). Let r(b) = -2*b**2 + 2*b - 9. What is w*v(c) - 3*r(c)?\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 4*h - 4. Let s be p(-5). Let x be 3\/3 + s + 7. List the prime factors of (-21)\/2*(-6)\/x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -25, 0, 16, -2, -5, 3 in decreasing order.\nAnswer: 16, 3, 0, -2, -5, -25, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voowo. What is prob of picking 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -63, 216, 975, 2454, 4893, 8532?\n\"Answer: 40*w**3 - w - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 6*q**2 + 2. Let s be m(-6). Suppose 11 - 1 = s*z. What is the second derivative of a**2 - z*a + a + 2*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 4, b: 8, z: 1, n: 1}. Give prob of picking 1 n, 1 b, and 1 r.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822476 is divided by 1821732.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from {m: 3, c: 2, f: 3, h: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88239 is divided by 971.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 + 2*c**2 - c - 9. Let x(g) = g**3 - g**2 + 3. Let k(f) = 3*r(f) + 8*x(f). Let l be k(-3). What is the units digit of (-5)\/l + (-25)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 6218*v - 136308. Calculate c(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308679?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -454*v**3 - 4*v**2 + 10*v - 38. Let k be f(5). Round k to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 1. Let c be z(-2). Let k be 14 + (0\/(-2))\/2. Let x = c + k. Solve u = -l - x, -3*u + 0*u = 4*l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/2 + -2. Which is the closest to -0.1? (a) -1 (b) f (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22169363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 + 7*s + 2. Let o = -106 + 112. Suppose -o*i + 352 = 10*i. What is the smallest common multiple of i and l(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*sqrt(32).\nAnswer: -16*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -27 + -22 + (2 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 976 + -967. Let a = 50 - 76. Let p = -22 - a. Solve 2*m = -0*u - 3*u + 17, -p*m - u = -v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from xxaraotrhxarhoa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s - 2*s**2 + 556*s**3 + 93222*s**4 - 93220*s**4 + 6 - 553*s**3 to x*s**4 + q + t*s**2 + n*s**3 + i*s and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 11. Determine v, given that 0*v**3 + 2*v**3 + 9*v**2 - 6*v - 2*v**t - 9*v**4 + 3*v**5 + 3*v**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2436 - 1600*f**2 - 2436.\nAnswer: -1600*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7059\/4 + 1752. What is the common denominator of n and 49\/1474?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-318)\/50*(-300)\/270 + (0 - 7).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 - 79*r - 14. Let f be k(9). Suppose f*j - 1280 = -5*v + 1212, -v + 506 = -3*j. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -6.63.\nAnswer: 8.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17333, 34650, 51987, 69368, 86817?\nAnswer: 104358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:16 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*r**2 + 3 - 3*r**2 as y + f*r**2 + d*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*u + 452 = 0, 2*u - 5*u = 12. Let w be 3\/6 + 95\/2. Suppose -3*i + w = -0*i. What is the highest common factor of h and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26407433*r**3 - 12*r**2 - 97673*r wrt r.\nAnswer: -158444598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23337 and 18151.\nAnswer: 163359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04992191 rounded to five decimal places?\nAnswer: -0.04992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 78*g + 770 = -80*g, -5*x - 2*g = -985. What is the remainder when x is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 85.308104 and -176991?\nAnswer: 177076.308104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 14, -5\/4, -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2. Let n(z) be the first derivative of -2*z**3\/3 + z**2\/2 - 321. Give -n(w) + 6*o(w).\nAnswer: -4*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63441*z**3 + 5733*z**3 + 0*z + 0*z.\nAnswer: 69174*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.009 + -0.291. Let l = 0.082 + o. Let h be (2\/(-3))\/((-4)\/6). What is the nearest to -0.1 in l, 2, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 117390947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 7, h: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**8\/560 + x**6\/40 - 95*x**4\/24 + 11*x**3 + 8*x**2. Let p(m) be the first derivative of q(m). Differentiate p(k) wrt k.\nAnswer: -12*k**3 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.532294 millilitres in litres?\nAnswer: 0.000532294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7253 + 15682. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.47 - 51.69.\nAnswer: -53.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (88 - 85)) + -37 + (2 - 4).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:43 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.8 (b) 0.2 (c) -1\/2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250942076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916*m - 919*m = s + 10, 0 = 37*s - 185 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11718, -18, -3, -4, 1, -2 in increasing order.\nAnswer: -11718, -18, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfukukmfuwf. What is prob of picking 1 u, 1 m, 1 w, and 1 f?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2054 > -2051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 64, 153, 272, 415, 576?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13065181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*s - 49*s + n + 22, 0 = -3*s + 5*n - 7. Let r(p) = -p - 2 + 2 + 4 + 0*p. Determine r(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6 - 291\/4*d + 48*d**4 - 420*d**3 + 297*d**2 = 0. What is d?\nAnswer: 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -73*z**5\/60 + 13*z**4\/8 + 48*z**2. What is the second derivative of t(k) wrt k?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2842893 - -3985796. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 23*g = -163 - 134 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 2*s**3 - 5*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) + (-102)\/36. Is -2 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 125*a - 209.\nAnswer: -125*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 572\/18 - (-14)\/63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h - 5*t + 5 = -22*h, 2*t = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*u + 18 = 0, 5*u - 29 = y + 3*y. Let t(z) = z**2 + z + 1. Let x(m) = 7*m**2 + 2*m - 1. Let a(q) = y*x(q) + 6*t(q). Determine a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzjvjzi. Give prob of sequence vj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1716.8 + 1814. Round u to 0 dps.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -21.1\nAnswer: -84.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30078 divided by -3?\nAnswer: -10026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 - 62. Suppose o = 6*o - 10. Suppose -6*w = -2*w + 8, w = -o*s + 8. Calculate the highest common factor of s and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/13 + (-440)\/65?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(-1) + -1. Let r = 2\/41 + 1831\/287. Let m = -43\/7 + r. Put -0.2, m, f in increasing order.\nAnswer: f, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 33. Let b be v(-13). Let j(m) be the third derivative of m**5\/60 + m**4\/6 - 7*m**3\/6 - 4*m**2 + 38*m. Calculate j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74665416)\/322028 - -232 - (273\/(-93) - -3)\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 4 - 3 - 5 + 3. Is w(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from heeeueuujeuuueeejueu?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 519 by 1265.\nAnswer: 519\/1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2660176?\nAnswer: 266017b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15998756 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -16*f. Let z(c) = -c. Calculate n(z(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3*(-171)\/(-76). Let k(m) = -22*m**3 - m**2 - 2*m - 4. Is k(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1207104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.6 - 171.4. Let y = o - -185.9999831. What is y rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide ((-2)\/(-16) - 110\/(-16)) + 2802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**2 - 56*b. Let j(s) = -s. What is 168*j(m) - 3*o(m)?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**2 + 4*q + 358. Let r(h) = -h - 1. Let p be (-15)\/4 - 3\/12. What is p*r(a) + y(a)?\nAnswer: 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307.0000281 - 307. Round q to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258520637 to the power of 1\/3, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uamgsamusmsmsa. Give prob of picking 1 s, 2 u, and 1 m.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0*k**3 + 9\/80*k**5 + 0 + 0*k**2 - 56*k + 0*k**4 - 1\/40*k**6. Factor s(q).\nAnswer: -3*q**3*(q - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let k(f) = -208*f**2 - 130. Let q(c) = 19*c**2 + 12. Let v(j) = 6*k(j) + 65*q(j). What is 6*d(o) + v(o)?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2299))**2 + sqrt(19))*2 - (sqrt(2299) + sqrt(2299)*-3 + -2)) + 3.\nAnswer: -20*sqrt(19) + 4605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 0.12 (b) -7 (c) 2\/11 (d) -43 (e) 0.4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14287418 rounded to two dps?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 88*j**3 - j**2 + j + 1. Let z be h(-1). Let q = -625\/7 - z. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaagagaaaaaaaggagaaa.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112010103 (base 4) to base 15.\nAnswer: 1bbac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w - 15. Let o(v) = -68*v + 45. Let z = -31 - -28. Let m(p) = z*o(p) - 8*x(p). What are the prime factors of m(4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1405982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.17 - 0.17. Let u = y + -17.0000046. What is u rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 11. Let u be r(7). Suppose 2*a - 2*n = 2, -3*a + n = 2 - 3. Suppose a*v + 36 = u*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a + 50 - 50)*(6*a + 0*a - a).\nAnswer: -65*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125325321 (base 6) in base 8?\nAnswer: 57765461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 50326 (b) -2 (c) 0.2 (d) 4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 + 114*c\/7 + 8.\nAnswer: 2*(c + 28)*(2*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22023919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*r + 14*r + 12*r)*(-284*r + 223*r + 2 - 8) as g*r**2 + d*r + s and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1120)\/(-24) - (-2)\/6. Suppose p = -2*b + 3 + 16, -4*b + p + m = 0. What is the remainder when 22 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.054487 + 2.945513. Let r = -8\/7 - -137\/126. What is the nearest to n in -1, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 4:09 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.163 + 5.437. Let n = -8.6 + q. What is the nearest to n in 0, -1.2, 2\/7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 376 (b) 0.1 (c) -22.7 (d) 2 (e) -4 (f) 5 (g) -30\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-9))\/(4\/(-6)). Let v be -11 - -24*14\/21. Suppose 35 = 5*a - 3*r, -2*a + 3*r = 2*a - 31. Solve -t - v*g = -30, a*t - 3*g - 3 = l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 1, c: 1, x: 2, m: 1, s: 1}. Give prob of picking 1 s and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45236 divided by 526.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1983\/54 + (-3)\/(-6). Let k = 3719\/90 - y. Find the common denominator of k and -38\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -0.349.\nAnswer: -0.04537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + m = 3857, 6*m - 2*m + 12 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s = -72 + 531 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 7*c + 2*c**2)*(2 - 2 - 3*c) - 18*c**3 - 54*c**3 - 20*c**3.\nAnswer: -98*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12042.36665 rounded to 1 dp?\nAnswer: -12042.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(125)*-3) - (0 + -2 + sqrt(5)*-4)**2.\nAnswer: -84 - 241*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977746 divided by 7.\nAnswer: 139678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -4, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955 (base 13) to base 7.\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-2464)\/5654) + -16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01877677 rounded to five decimal places?\nAnswer: 0.01878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 = -2*d + 6, -3*k = d - 14. Let g(z) = z + 2. Let c(r) = 20*r + 13. Let a(t) = -17*t - 11. Let m(w) = -7*a(w) - 6*c(w). Give k*g(f) + 5*m(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2303009 and 9752?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501529117.\nAnswer: 37, 1723, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*4 + 4 + -6*(sqrt(468)\/sqrt(9) - sqrt(52)) + sqrt(52))**2.\nAnswer: 368*sqrt(13) + 27524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -15 + 6 - -5) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/10)\/((-76)\/(-19)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + -0.7. Suppose d - w + 102 = 6*d, 4*d = w + 87. Let p be (-4)\/(-14) - 13\/d. Which is the smallest value? (a) -3 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 9, r: 2}. What is prob of picking 2 w and 2 r?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8 + 9*o**2 - 2 + 3*o + 9. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 54. Let s(k) = 0*k + k**3 + 7*k + 18*k**2 - g + 9*k. Let m be s(-17). Solve -12 = m*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(c**2 + 3*c**2 - 3*c**2) - c**2 + 2*c**2 - 2*c**2 + (4 - 3 + 0)*(-c**2 + c**2 - c**2) - 77*c + 77*c + 4*c**2 + 10*c**2 + c**2 - 5*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:49 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 20. Let k be a(4). Suppose -6*h + 30 + 90 = k. Let q be 2\/4 - 10\/h. Solve q*m + 2*m + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30827*p**3*s - 2*p**2*s + p*s + 434*p - s wrt p.\nAnswer: -184962*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -222*c**2 - 46*c?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -71*z + 3402. What is m(46)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -632 (base 11) to base 4\nAnswer: -23321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.029 - -2.029. Let d = 6.502 - 6.702. Which is the nearest to j? (a) d (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -74, -176, -318, -500, -722, -984?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.0066617, -6.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 8 - -1*20 - 5. Suppose b = -2 + c. Which is smaller: 75\/8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*w + z, 137*z - 22 = 4*w + 135*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*b + 5*b. Suppose 0 = -u - 2*z - 12, -2*z + 0*z = -4*u - b. Find the common denominator of 87\/16 and (-2)\/8*(-58 - u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 1)*(-38*p - 84 + 169 - 76)*(-2*p - 3 + 3).\nAnswer: 380*p**2 - 90*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -133)\/2 - 1. Let i = l + -40. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(30\/(-4))*-1. Let c = 21 + -19. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 20 = -13. Let r = -94\/3 - d. What is the second biggest value in 3, r, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 1112500*n + 14461655.\nAnswer: 5*(n - 222487)*(n - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (7 - 1) - -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - g**2 - g - 1. Let t be y(-2). Solve 5*j - 4*v = -14, -4*j + v - t*v - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1.517.\nAnswer: -7.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -27426\nAnswer: 27426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o + 3*p + 40 = -45*o + 7*p, -4*o = o - 32*p - 4 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80495897 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -990 by 45.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22612832 and 308?\nAnswer: 158289824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -114*q**5\/5 - q**3 - 2*q + 109. What is the third derivative of g(c) wrt c?\nAnswer: -2736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 74*k**3 + 305*k**2 - 17*k - 6. Determine d(-4).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/4)\/s)\/(s**(2\/13)\/s))**35 assuming s is positive.\nAnswer: s**(1995\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 21.947007, 4\/5, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 5. Suppose -27 = 3*s + 2*p, -s + 4*p = 8*p - 1. Let v(y) = 21*y + 26. Calculate s*o(m) + 2*v(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.2 + 17. Let s = -1231.81 + 1232. Put s, 0.3, w, -0.4 in ascending order.\nAnswer: -0.4, w, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 69 (b) 3\/7 (c) -13.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w**2. Suppose 3 + 1 = u. Let b be t(u). Suppose -5*z = -b*i - 2*i - 48, 4*z + 4*i - 44 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112841 is divided by 14091.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:35 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 12*o**3 - o + 51*o**3 - 9893 + 9992.\nAnswer: 63*o**3 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(19))*1 - sqrt(38)\/sqrt(2)*-4)*-5 + sqrt(76) + sqrt(76)*1*2 + 4.\nAnswer: -19*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 26, -10 in descending order.\nAnswer: 26, -1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -16, -48 in increasing order.\nAnswer: -48, -16, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + 2 + 11 + -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g + 9. Let v be z(7). Let j = 7 + v. Are j and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (0 - -1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*b**2*i**3*y**2 + 2*b*i**3 - 1224*b*i*y**2 wrt b.\nAnswer: 278*i**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1e8c (base 15) to base 3\nAnswer: 100010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s**3 + s**2 + s - 3. Let w be c(1). Let r(i) = -13*i - 80. What is the tens digit of r(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1*8)\/(32\/304) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10922876*b*q**3 - 2*b*q**2 + 57791*q**2 wrt q?\nAnswer: 65537256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.08+-1.165\nAnswer: -1.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/8 + (-3)\/(-1). Let r = 7 - 7.3. Let k = -523\/6 - -87. Which is the nearest to t? (a) k (b) 3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0497171113957 and -4.18.\nAnswer: -4.2297171113957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 + 0*z - 3*z**3 + z. Let t be i(1). Suppose t*r - 2*r + 6 = 0. Put r, -5, 5 in descending order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1*(-1 - 2). Suppose -4*r + w*o + 460 = -2*o, 5*r = -3*o + 612. Let y(t) = 4*t - 1. Let z be y(4). Calculate the highest common factor of r and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**3 - 8*g**2. Let y(k) = -9*k**3 - 16*k**2. Suppose 0 = 85*d - 145*d + 660. Calculate d*j(f) - 6*y(f).\nAnswer: -f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(((a*a**(-2))\/a)\/a))\/a)\/a**2*(a**(1\/3))**(-16))**(-1\/12) assuming a is positive.\nAnswer: a**(13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5975*c**3 - 10*c**2.\nAnswer: 5*c**2*(1195*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227978 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i - 7. Let p(b) = 7*b - 9. Let k(y) = 6*c(y) - 5*p(y). Give k(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(4 + sqrt(5) + sqrt(15)\/sqrt(3)*5) - ((4 + sqrt(20))*5)**2*2).\nAnswer: -10824 - 4836*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 9*d - 7. Let h be c(-1). Suppose 5*y - 52 = i, -h*i + 8*i + 6 = 0. What is the lowest common multiple of 15 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -63.\nAnswer: -63.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibi when three letters picked without replacement from ibbibb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let r(p) be the third derivative of -p**6\/240 - p**4\/8 + 2*p**2. Let w(y) be the second derivative of r(y). What is -4*f(q) + w(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - 12) + (-111 + 25 - 19).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 4*g - 2. Let c be b(5). Differentiate -1 + 13 - 11 + 3*i**c with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:49 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -568164 or -568191?\nAnswer: -568191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.64622 + -0.04?\nAnswer: 53.60622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29, -4 in ascending order.\nAnswer: -4, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 811166276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 22*d - 20*d - 3 + 2*d**2. Calculate the remainder when 19 is divided by x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 2*s**2 - 4*s**2)*(-1 + 0 + 9)*(0 - 1 - 9).\nAnswer: 160*s**2 + 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 1872538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:36 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -326896*t + 326920*t + 720 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*y + 1778*y - 914*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2 - u - 2. Suppose 54*y - 29*y + 75 = 0. What is m(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -6902.85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -14. Suppose 0 = -2*l + v + 7. What is the remainder when 17 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/7*(-2)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8002?\nAnswer: 2, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l + 1954 + 1750 = 19. Let q = 2 - -1. Let c(v) = 2*v**3 - 3*v**2 - 2*v - 2. What is the remainder when l is divided by c(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 25. Let y = z + -33. What is the remainder when 11 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((38988\/(-285))\/114)\/((-8)\/10)*154\/3\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -280, -552, -818, -1078?\n\"Answer: 3*n**2 - 281*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j - 5*n = -52, 4*j - 162 = 3*n. Suppose x = -2*x + 5*h - 104, -84 = 2*x + 4*h. Let a = x + j. Solve a*q = -g + 12, 0 = q - 4*g - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1243 = -221*j + 2027 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9141374917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 4*u**2 - 4*u - 4. Let c be p(5). Let h(v) = -v + 7. Let t be h(5). Suppose 0 = -2*g + 6*x - x, g - 9 = -t*x. Solve g*y = -4 - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30606187, 61212345, 91818503?\n\"Answer: 30606158*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 0.3, 4 in descending order.\nAnswer: 68, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -9. Suppose 5*s - 26 = -2*t + 24, 10 = h*t. Let p = 186 - s. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189240 minus 0.149?\nAnswer: -189240.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -222*f - 1801. Calculate the remainder when b(-9) is divided by 129.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t - 2*t + 2*t - 2 + 2 - 15*t + 26*t - 18*t + t + 0*t + 0*t + (0*t + t - 3*t)*(-4 + 1 - 5))*(t - 3*t + 4*t).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.2, 705023 in ascending order.\nAnswer: -0.2, 2\/3, 705023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let c be s(-1). Let a be ((-3)\/9)\/(c\/(-24)). Solve 3*m - 4*k = 1, -2*m + a = 3*k - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/2 + 167822553*r + 9388136431812603\/2 = 0. What is r?\nAnswer: -55940851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-1 - 0\/(-2)). Let n be -16 - (4 - 3 - 0). List the prime factors of 1\/z + n\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 4\/3 (b) 1\/10 (c) 1\/3 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, 5, 20, 35, 50, 65?\n\"Answer: 15*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*m**2 + 134*m**2 - 2 - 32*m**2 + 2 - 70*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -7849.\nAnswer: -37\/7849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 2*m**2 + 0*m**2)*(0*m**2 - m**3 + 0*m**2).\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 88, 128?\n\"Answer: 40*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 157, 155, 159, 175, 209, 267?\n\"Answer: r**3 - 3*r**2 + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26b6 (base 14) to base 15\nAnswer: 204e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6 + -2940.\nAnswer: -2936.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 880585920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(4\/7)*q*q\/(q*q**(-1\/43))*q assuming q is positive.\nAnswer: q**(1082\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89275038 and 5598.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-6)\/o)\/(o*((o\/o**(-8\/7))\/o)\/o))\/(((o\/o**(-2\/5))\/o)\/o)**(-41) assuming o is positive.\nAnswer: o**(-1076\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, t: 1, u: 1, m: 3, i: 3}. Give prob of sequence mtmm.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 41 (b) -22 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and -0.065.\nAnswer: -1.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 712402.4 decades in centuries?\nAnswer: 71240.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17745 and 64402.\nAnswer: 87908730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 + -1101012201?\nAnswer: -1101021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/45)\/(2\/(-30)). Solve 2*s - s = 0, -m*i + 4*s = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*k, -p + 28*k = 26*k + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48 - 1612*r**2 - 193*r**2 - 2845 with respect to r.\nAnswer: -3610*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - l + 6*l - 7, -3*h = l + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c0a6b3 - 2?\nAnswer: -3c0a6b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 divided by -20?\nAnswer: -93\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25134 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1 + 0 - 1. Let q be b(-10). Let c = q + 24. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 3 + 568*g**4 - 840*g + 68*g**4 + 462*g wrt g.\nAnswer: 7632*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1417 = -29*q - 4*i, 0 = -95*q + 91*q - i + 195 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 11 - (0 + 3 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 9 - 5. Suppose -p - 3 = 3. Let j be 14\/8 + p\/4. Which is the smallest value? (a) s (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 6) in base 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2414*w + 1369 - 49649 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.04.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-63 + 25 - -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001368796 to seven dps.\nAnswer: 0.0001369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let x(q) = -91*q + 1458. Let r be x(16). Solve r*i - a = 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let z(p) = -56*p**2 + p - 27735. What is o(z(a))?\nAnswer: 56*a**2 - a + 27735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5970)\/495 + 12 - (26\/(-221) + (-328)\/102)\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/((q**(-1\/23)\/q)\/q))\/q*q**(1\/50)*q)**(-3\/47) assuming q is positive.\nAnswer: q**(-17469\/54050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -66*h + 24. Let p be d(11). Let x be 1 + (-8324)\/p - (-4)\/(-6). Let m = 406\/27 - x. What is the common denominator of -11\/5 and m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 830403808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/20 and 19\/386042680?\nAnswer: 386042680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 276817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/(j\/j**(-4))*(j*(j**(-2\/13)*j)\/j)\/(j\/j**8))**37 assuming j is positive.\nAnswer: j**(-1517\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 101*u + 153*u + 7 - 236*u. Let y(h) = 19*h + 6. Give 5*q(w) - 6*y(w).\nAnswer: -24*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 4*v - 91. Which is the nearest to -9? (a) 0.06 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 2\/(-2))\/1. Let a(q) = q**2 + 14*q - 238. Let z be a(-24). Suppose 1 - 7 = -3*i. Solve 2*n = -i*r - 2, y = -z*n + 4*r - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/279127160 and -107\/15780?\nAnswer: 837381480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/44)\/((-3640)\/(-56056))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/23571 and -62\/243?\nAnswer: 23571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8290.051um to millimeters.\nAnswer: 8.290051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 307.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3593 + 9637. Is j a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75381 rounded to two dps?\nAnswer: 5.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 6*a + (2 - 1 - 2)*(0*a - a + 2*a) + 4 + 2*a - 4 - 3689*a + 930*a + 1583*a)*((2 - 6 + 1)*(-2 + 3 - 3) + 5 - 2 - 2).\nAnswer: -8211*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1202048 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 215*w + 213*w + 62 = 0, z + 3*w = 5 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.5. Let d = 0 - i. Let q be 15\/75*20\/18. Which is the third biggest value? (a) d (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**3 - q**3 - 3*q**3)*(1 + 2 - 4) + 3 + 2*q**3 - 3 to the form g + k*q**3 + c*q + h*q**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1237, 5, -1, 0.1, 0.032?\nAnswer: 0.1237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293444 divided by 1?\nAnswer: 293444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 + 160*y**3 + 3430*y**2 + 9200*y + 5928 = 0.\nAnswer: -39, -38, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 4*f**5 - 2*f**2 + (0*f - 2*f**3 + 0*f)*(-3*f**2 + 0*f**2 + 2*f**2) + (2*f**3 - f**3 - 3*f**3)*(f**2 + f**2 - 3*f**2) + 3*f**5 - 3*f**5 + 2*f**5.\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 2*r - 1696*r**2 + 1688*r**2)*(-4 - 2 - 8*r**2 + 4) in the form b*r**3 + v*r + f*r**4 + s + p*r**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -902, -4, 3, -579 in decreasing order.\nAnswer: 3, -4, -579, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18845625648 to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5463 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 240. Suppose n = z - 3, s - 4*z + 12 = -z. Sort 9, s, -1 in descending order.\nAnswer: 9, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o - 7. Let z be f(4). Let a be (-31)\/(-2) + z\/(-14). Is 13 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 + 11*x - 11. Let u(z) = z**2 + 33 - 11 - 23 - 1 + 2*z. Let o be -2 + (2 - 33\/3). Calculate o*u(c) + 2*b(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(-1\/7))**(32\/7)*o**(-2\/11)\/((o\/(((o\/(o\/((o**(2\/29)\/o)\/o)))\/o)\/o))\/o)*(o**(1\/4)\/o)\/o**(-4) assuming o is positive.\nAnswer: o**(27715\/62524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1418 = 1018*c - 1015*c, 1426 = 2*k - 4*c. What is the highest common divisor of k and 2050?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30875950 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33704617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -88e18a (base 16) in base 4?\nAnswer: -202032012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*u, 5*r - 19 = -4*u + 5. Let b be 12*((-3)\/r)\/(-3). Suppose -b*x = -5*x - 16. Which is bigger: -0.2 or x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 12*j - 7. Let t be f(-11). Suppose -t*p + 3*d = -331, -p + 0*d + 2*d + 79 = 0. Let i = p - -138. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(2\/120). What is the remainder when ((-20)\/3)\/(4\/m) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 3. Let h be (-1 + 3)*1\/(-1). Let i(v) = 5811 - 5814 - v + 4*v + 3*v. Determine h*i(j) + 3*l(j).\nAnswer: 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/20 - 6\/(-24) - 63\/(-105). Solve v = -3*h, s*h - 13*v + 17 = -8*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (152\/38*((-52)\/(-1104))\/13)\/((-2)\/(-24))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/5)*a**(-2\/11) assuming a is positive.\nAnswer: a**(-32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/186 and 88\/5157873.\nAnswer: 10315746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91651.15 micrometers to nanometers.\nAnswer: 91651150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 1:10 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 12*s**2 - 24*s - 32*s + 56*s. Let z(r) = -6*r**2. What is z(j(f))?\nAnswer: -864*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Expand -1 - c**3 + 1 + (3*c**2 - c**2 - 4*c**2)*(c - 2*c + 0*c) + (-1 + 2*c**2 + 1)*(0*c + 4*c - 3*c) - c**3 - 3 + 3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + (60 - 59).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -2 - (41 + 12 + (17 - 23))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969576135?\nAnswer: 5, 23, 73, 234613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2331 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 6*d - 10*d - 3*v, d = v + 19. Solve -d*i = -18*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31.63793 and 1257.\nAnswer: 1288.63793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527926771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 177*a - 596*a.\nAnswer: -419*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 104733 + 104325 = 0 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.05, -2\/13, 0.5, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337 + -330. Sort j, -0.3, -5 in decreasing order.\nAnswer: j, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 3*r**2 - 5*r - 3. Let u(a) = 41 + 0*a - 45 - 5*a - a + 4*a**2 + 3*a**3. Calculate 4*s(d) - 3*u(d).\nAnswer: -d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -0.1, 88?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 5*j + 3. Let c(l) = 15*l**2 + 23*l + 15. Let x(y) = 45*y**2 + 68*y + 44. Let d(m) = -11*c(m) + 4*x(m). Give -6*d(o) + 22*h(o).\nAnswer: -2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0231529 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2407, 9747, 21985, 39121?\nAnswer: 61155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*a**3 - 1\/4*a**4 + 69\/4*a**2 + 117\/4*a + 0.\nAnswer: -a*(a - 13)*(a + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/4 - (-4)\/(-8). Let r be y\/(-7)*4\/(-14). Which is the closest to r? (a) 4 (b) 3\/2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*g**3 + 871*g**3 - 464*g**3.\nAnswer: -79*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-2 - -2))*1. Let x = -21 + 21. Suppose 6*b + x*b - 90 = 0. Solve b = -h*z - 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 428*x + 8744. Give u(-20).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/60 + 5*a**4\/12 + 7*a**3\/3 - 29*a**2\/2 - 20*a. Let r(y) be the first derivative of z(y). Let n be r(-8). Does -2 = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 1, f: 2, g: 1, q: 2}. What is prob of picking 1 e and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - j = 7*j. Let f be -11 - j*((-10)\/(-4))\/5. Let t = 25 + f. What is the remainder when 54 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2509 = 32*i - 1651. Calculate the lowest common multiple of 55 and i.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 135*m + 754*m - 97*m + 18936 = 0 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 3*k + k)*(-k**3 - 3*k**3 - k**3) + 2 - 2 + k**4 + (0 - k + 0)*(6*k**3 + k - 2*k - 4*k**3).\nAnswer: 9*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a - 475. Give b(-31).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i + 5*m + 49, 0 = -5*i + 5*m - 55. Which is bigger: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 - -389. Let f be (167\/4 + -2)*-4. Let l = z + f. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = 8*q. Let b = q + -1. Let u be b\/(-2)*0\/(-1). Solve 0 = -2*w - u*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 0, 2*k - 25 = -4*b + 11. Suppose -4*s + b*s = 15. Find the second derivative of -5*j**4 - 4*j + 4*j + 6*j**4 - s*j wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from jjmjjuhqju?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 97798*-0.1\nAnswer: -9779.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.90028 centuries to months.\nAnswer: 62280.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -4 (c) -2\/9 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -512, -1235, -1958, -2681, -3404, -4127?\n\"Answer: -723*v + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5*(9 + 1). Suppose 2*s = 4*k + 10, -1 - 3 = d*k. Suppose 0 = -s*p + 145 + 110. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 5*s**8\/336 + 5*s**7\/42 + s**6\/4 + 87*s**2. Suppose u(y) = 0. What is y?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302131693*c**3 - 302131697*c**3 - c + c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2513 * 0.4\nAnswer: 1005.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 + -210. Calculate the remainder when 285 is divided by i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 179*p + 367. Determine r(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10 + 9*g - 2 + 2*g. Let u(a) = 7*a**2 + 50*a - 45. Let j be u(-8). Calculate the remainder when 52 is divided by c(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 - 8*o - 1. Let c(h) = 11*h + 152. Let x be c(-13). Calculate m(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 2*t + 0*t + (4*t + 0 + 0)*(-307 - 624 - 70) - t + 4*t + 0*t.\nAnswer: -4000*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2319455 rounded to three decimal places?\nAnswer: -0.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 2*g - 5. Let t be a(4). Suppose x = -x. Let i = x + 7. What is the highest common divisor of t and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 8, k: 1, h: 7}. What is prob of picking 1 k and 1 y?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5168 + 5168 + 111*p**2 + (0*p - p + 0*p)*(2*p + 9*p - 4*p) + (5*p - 5*p - p)*(-1 + 1 + p).\nAnswer: 103*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t - 4. Let r be i(4). Suppose -3*n = 5*f - r, n = -n - 2*f + 12. Calculate the least common multiple of n and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - o + 0*o + 0 - 5*o + 0 + (-3*o - 3*o + 5*o)*(23 + 5 + 31))*(2*o + 0*o - o) in the form x*o**2 + t*o + b and give x.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**2 - 20307*f**4 + 40564*f**4 - 762 - 20318*f**4 wrt f.\nAnswer: -244*f**3 - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 - 23852*l**3 - 71583*l**2 - 53692*l - 11932 = 0. Calculate l.\nAnswer: -2, -1\/2, 5966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/6)\/(-4))\/(3420\/1080)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 4*q + 23. Let l(a) = -a**2 + 3*a + 21. What is -6*f(n) + 7*l(n)?\nAnswer: 5*n**2 - 3*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*o**4 - 41*o**4 + 31*o**4 + (2*o**2 - 2 + 2)*(0 + 0 + o**2) + 0*o**4 - o**4 - 3*o**4 + 4*o**4 - 5*o**4 + 0*o**4.\nAnswer: -51*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + -2 + 6 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3048382*m + 1295405 wrt m.\nAnswer: 3048382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(432) + sqrt(432) + -2*-1*sqrt(432))**2*-3.\nAnswer: -20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 1 (c) 2\/5 (d) -2\/1199\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)\/(sqrt(63)\/sqrt(81)))\/(1*(sqrt(7) - sqrt(63))*5))**2.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/3))\/s*s**(-1))**(-33)\/(s**(-1\/4)\/(s**(3\/4)\/s))**(-3\/34) assuming s is positive.\nAnswer: s**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 249, 20, -4, -51, 3 in descending order.\nAnswer: 249, 20, 3, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 486845301 a multiple of 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2 + 2)*(3 + v**3 - 3) - 30*v**2 + 11*v**3 - 3*v**4 + 30*v**2.\nAnswer: -4*v**4 + 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 68 = -4*x, x - 59 = 2*z + 2*x. Which is bigger: z or -43?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.1000035 hours?\nAnswer: 6.00021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965377?\nAnswer: 7, 137911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14946 and 2538?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*y**2 + 170*y**2 + 163*y**2 + 155*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/1716*44\/11*-5?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 3. Determine r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 13, -487?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxz when three letters picked without replacement from ctzxbvb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -58. List the prime factors of s.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-7 - -6) + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1698\nAnswer: 1\/1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*f + 294 = -1125, 4*f = -20. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -16. Let c be -8 + 9 + 3*r. What is the highest common factor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 9:39 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m = -25. Which is smaller: m or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 10:58 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3253 - 2626. What is the greatest common factor of t and 1083?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68995100 rounded to the nearest 100000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, v: 4, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-12))\/(210\/(-45))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-50))\/((-39)\/390)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.206, 0, -0.1, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:29 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -18. Is 3 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233352 (base 7) to base 10.\nAnswer: 42030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -86*z + 91*z - 3*q, -q = -2*z - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 853 = 203. Let d = r + 77. Let h be ((-2)\/(-5))\/(1\/60). What is the highest common divisor of h and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28314*t + 26114 wrt t?\nAnswer: 28314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 20*d + 61. What is the remainder when (-1 + 5\/1)*8 is divided by y(22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39939014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1386, 0.2, -2\/5?\nAnswer: -1386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*r - 156, -124 = -3*r - 0*n + 4*n. Suppose l = -l + r. Solve t - 4*k + 21 = 6*t, 0 = 3*t - 3*k - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 8:23 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -128, 5, 3, -0.4, -21\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 28150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24710 + 15?\nAnswer: -24673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -4*w. Suppose -5*m + 106 = -4*b, -b = -m + w*m - 45. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 30, -4, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119 or -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35774957411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = d, 3*d - 9 + 1 = 2*z. Suppose -9*p + 7*p = -b - 4, -d = -3*b + 2*p. Solve b*f - 7 + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 8*o - 5. Let c be d(6). Let s = c - 12. What is the biggest value in -1\/6, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*k + 2126, -k + 5*a - 522 = a. Let d be -1 + 4 - (528 - (2 - 8)). Is k smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**7\/42 + 67*i**6\/30 + 49*i**5\/2 + 539*i**4\/6 + 949*i**3\/6 + 295*i**2\/2 + 6*i + 253. Suppose m(a) = 0. Calculate a.\nAnswer: -59, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 93. Calculate u(-17).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1317547 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/10 - 186\/(-4). Let u = 93 + -50. Let p = c - u. Solve p*d + 16 = 5*b, 0*b = -2*d + b - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120102002112 - 1100?\nAnswer: 10120102001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19274790, 38549549, 57824300, 77099037, 96373754, 115648445?\nAnswer: 134923104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2675\/214)\/(30\/(-9)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424003 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 355*l**9\/252 - l**8\/112 + 27*l**5\/5 + l**4\/24 - 1052*l**2. Find the third derivative of g(h) wrt h.\nAnswer: 85200*h**3 - 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 - 20*y + 4. Let g be k(-6). Calculate the highest common factor of g and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1 + 0 + sqrt(5) + sqrt(245) + -1)*-4 + (0 + (sqrt(5) - (1 + sqrt(5)))**2 - (sqrt(80) + -3)**2))*-5.\nAnswer: 40*sqrt(5) + 439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 16*v**2 + 87*v + 41. Let x be n(13). Calculate the greatest common factor of 266 and x.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 171 = -2*g - 165, c - 7 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/2 - 15*o**2\/2 + 75*o\/2 - 125\/2 = 0. What is o?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 3 - 5*u**2 + 4*u**2 + 1 - u. Give z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015099417 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6568, -9993, -13418, -16843?\n\"Answer: -3425*j - 3143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m**2 - 4*m - 34. Let c(p) = -45*p**2 - 17*p - 137. Give -2*c(b) + 9*z(b).\nAnswer: -9*b**2 - 2*b - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -306.\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 3*sqrt(17))*3 - (sqrt(153)*2 - sqrt(153) - sqrt(153))**2.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -65) + -2 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -75608029 and -0.1.\nAnswer: -75608029.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5090\/2081?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.8 + -2.68?\nAnswer: 20.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358775.\nAnswer: 5, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 104 = -3*i, -i - 2*i = 6. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 3\/191 in increasing order.\nAnswer: -2, -1, 3\/191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = c, -3*l + 2*l + 5 = c. Let i(f) = -2*f**3 + f**2 - 2*f + 1. Let m be i(2). Let a be 9\/m*4 + 2. Is l at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 2*t**2\/3 + 128*t\/3 - 128\/3.\nAnswer: -2*(t - 8)*(t - 1)*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 588870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*l - 104*l = -39*l + 2546 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 - n - 122*n**2 + 60*n**2 + 78*n**2 + 17*n**3 - 1 to the form r*n + d*n**3 + b*n**4 + z + a*n**2 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) + (-28)\/35. Let t be (90\/40)\/(6\/(-8) - c). Let u(d) = -d**3 - d**2 + 3*d + 3. Let y be u(-2). Calculate the highest common factor of t and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -15 - (30 - -19 - 47)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 + 38*r + 24. Let f(m) = 3*m**2 - 24*m - 24. Let o(c) = 3*f(c) + 2*p(c). What is o(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*a**4 + 125*a**2 + 625\/2*a - 150*a**3 + 0 - 5\/2*a**5 = 0. What is a?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8176 and 35308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**2 - 2*d**2 + d**2)*(-1 - d + 1) + 121 + 125 - 2*d**3 - 299 in the form p*d + q + c*d**2 + m*d**3 and give q.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 25 = -d, -4*d - 2*w = 9 + 47 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*q - 1, 5*q = n + 3*q + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + q + 26, -3*k + 2*q + 28 = 0. Let v(l) = 10*l + 43. What are the prime factors of v(k)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/854465?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - -104)*21\/105.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2599 - 2581.97. Let u = d - 17. Which is greater: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32828408 + 73286.\nAnswer: 32901694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/19)*t)**(1\/64))**34 assuming t is positive.\nAnswer: t**(289\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-4466)\/1276)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:17 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.99 + 22. Let y be 4640\/(-30) + 10\/(-2). Let w = 160 + y. Which is the third biggest value? (a) w (b) 0.3 (c) x (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5750 and 75325?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/20 and 83\/7528?\nAnswer: 37640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 5. Let r = z + 2. Let n = 0.66 - -2.34. Which is the closest to r? (a) -1\/9 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1420 by -3.\nAnswer: -1420\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.25 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 6)*(1 + -9). Suppose l + l - g = 0. Solve -4 = -l*q - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z - 3. Give o(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -12, -0.1277, 0.07 in ascending order.\nAnswer: -12, -0.1277, -0.1, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -80*g. Let c(r) = -3*r**2 - 17. Determine c(z(i)).\nAnswer: -19200*i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, s: 1, e: 1}. What is prob of picking 1 m and 1 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*m - 1313*m + 454*m + 426*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 992689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -750, -804, -894, -1020?\n\"Answer: -18*l**2 - 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270676429 to the power of 1\/2, to the nearest integer?\nAnswer: 16452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 4. Suppose 44 = 4*l - 3*m, 2*l + 2*m - 24 = -2*l. What are the prime factors of n(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275\/3 + 92. Determine h, given that -m*h**2 + 0 - 1\/3*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17577 or -17578?\nAnswer: -17577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/12 + 6\/(-36)*-17. Suppose s*r = -8*r - 33. Sort -1, r, 2\/5, 0.\nAnswer: r, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.046, -119.2, 0.4?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1569.\nAnswer: 156.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 625485.7 grams in milligrams?\nAnswer: 625485700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 + 4566*i - 168693 + i**3 + 168693 to the form h*i + z*i**3 + y*i**2 + p and give h.\nAnswer: 4566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let l(d) = d - 2. Let i(t) = -3*l(t) - 7*v(t). Let n be i(1). Solve y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439608.0063 rounded to the nearest one hundred?\nAnswer: -439600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -19316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42234 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.8025 - -0.0025. Round v to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78623 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21050490 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -613.3 smaller than 0.085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*p**5 + 2*p - 2 - 13*p**5 + 2 wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d0fe - -1c?\nAnswer: 6d11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.2, 1\/4, -4, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/11))**(-2\/25) assuming i is positive.\nAnswer: i**(-2\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/(h*h**(-1\/3)))\/(h\/(h\/h**1))**(-1\/70) assuming h is positive.\nAnswer: h**(-11\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 5*y**4 + y**3 + (3*y + 2*y**2 - 3*y)*(y**2 - y**2 + 2*y**2) + 13*y**2 - 13*y**2 - 30*y**4.\nAnswer: -31*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/90 and -81\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*u - 6 = 0, 118*c + u = 123*c - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g**3 - 1726*g - 25*g**3 + 574*g + 577*g + 575*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146062928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 + 3*z**2 - 2*z - 2. Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 4*u + 1. Suppose 0 = -4*l - 2*s + 2 - 24, -3 = -3*l + 5*s. Let t be j(l). Which is the second smallest value? (a) 5 (b) -7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914189 >= 3914187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-2232)\/31)\/(-24))\/(-105)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -89*r**2 + 46*r**2 + r**3 + r + 53*r**2 + 9. Calculate s(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28751 - -28753. Factor -1\/8*w**q - 3\/2*w + 0.\nAnswer: -w*(w + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*z = -57, 10*z = 11*z. Let b be n\/(-1 - (-1 + 4\/(-68))). Suppose 2*m = b - 35. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 23*l**3 - 2*l**2 - 5*l + 2. Let s(j) = 23*j**3 - j**2 - 4*j + 1. Let q(k) = 4*s(k) - 3*y(k). Find the second derivative of q(m) wrt m.\nAnswer: 138*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**(-5\/4)*c))\/c)**46\/(c*c*((c\/(c*c**(-5\/8)*c)*c)\/c*c)\/c)**(-1\/16) assuming c is positive.\nAnswer: c**(-10291\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13*i = 13*i - 111228. What are the prime factors of i?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 25*u**2. Let c(v) be the first derivative of 91*v**2\/2 + 750. What is w(c(f))?\nAnswer: 207025*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -11. Let b = k - -28. Let l = b - -42. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjjo when four letters picked without replacement from joyzzoziozojzzzzyzzo.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -2*g - 3, -g + n = 5. Let i be (-4)\/(-22) + (-24)\/11. Is i > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -25 + (-183)\/(-6)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*1\/((-65)\/91)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + 4*b)*(-2*b - 3 + 3) - 6*b**2 + 3*b**2 - b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70408361, 140816714, 211225057, 281633384, 352041689, 422449966, 492858209?\n\"Answer: -m**3 + m**2 + 70408357*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107390 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 57. Suppose -5*c - 191 = o. Let u(z) = -51933*z - 675172. Let h be u(-13). Do h and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/f)\/(f\/(f**(-2\/17)*f)*f)*(f*f*f*f**(-2)*f*f)\/f**1 assuming f is positive.\nAnswer: f**(-53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -20. What is the lowest common multiple of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*((-10)\/(-4) + -2). Let i = 1001 + -989. Find the third derivative of 0*u**2 + u**2 + 28*u**a - i*u**3 wrt u.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -380, -758, -1134, -1508, -1880?\n\"Answer: k**2 - 381*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2584*n. Let s(y) = y + 7860. Give z(s(k)).\nAnswer: -2584*k - 20310240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014696219 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2423.8 + 2424. Which is bigger: y or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**3 + 2*d**2 + 3*d - 3. What is p(2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10\/3, 2\/9, 0.1, 0.3, -0.01, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g + 22. Let y be z(0). Suppose 68 = 9*v - y. What is the remainder when 266 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -6098*i**3\/3 - 3*i**2\/2 + 121*i - 5147. What is the second derivative of r(o) wrt o?\nAnswer: -12196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192764268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 + r**2 - 6*r + 4. Let t be v(1). Solve t*n - 2 = 0, -2*n - 13 = -z - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + t = 4*z + 18, -9 = -3*t. Let h = 7 + z. Solve -8 = 2*v + 2*f, -h*v - 20 = 3*f + 2*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*m + 3*m**2 - 492*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**8\/1680 - t**6\/120 - t**3\/3 - 3. Let p(z) be the third derivative of w(z). Find the third derivative of p(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from ooyokkyomymyoom?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -25*c + 1. Let o(g) = -3*g**2 + 8*g - 4. Let m(d) = 6*d**2 + 2*d + 4. Let r(a) = m(a) + o(a). What is u(r(i))?\nAnswer: -75*i**2 - 250*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**3 - 45330*c**2\/7 + 24474957*c\/7 - 13970892\/7 = 0.\nAnswer: 4\/7, 1079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1070, 1071, 1072, 1073, 1074, 1075?\n\"Answer: d + 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/(-4) - (-7 - (10\/(-1))\/10).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + (-8)\/(-24). Let h be g*(2 - (2 + -3)). Suppose -4*l = 12, -h*w + 21 = l + 2*l. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -13. Suppose -14 = -n - n - t*r, -3*n - 5*r = -19. What is the closest to -2 in 0.3, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.812795 decades in years?\nAnswer: 18.12795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -72. Let q be (0 + (-1)\/f)*(0 + 0). Suppose -2*g = -2*v - q*g + 292, -161 = -v + 4*g. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1293 + 3938. List the prime factors of ((-6)\/(-10))\/(g\/(-1325) - -2).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 502577810 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + 2112?\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36613917 divided by -27\nAnswer: 1356071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 3*c**2 - 14*c - 9. What is o(-5)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -345\/7 or -50?\nAnswer: -345\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*u**5 + 7941*u**4 + 12177*u**3 - 50277*u**2 + 30669*u - 828 = 0 for u.\nAnswer: -23, -4, 3\/106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 3*t**2 + 3*t**2 + (1 + 2*t**2 - 1)*(-1 - 6 + 4) + (-4*t + 3*t + 0*t)*(-4*t + 0 + 0) to the form p + w*t**2 + c*t and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32742310 to the power of 1\/2, to the nearest integer?\nAnswer: 5722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -242 + 250. Let l(h) = -5 + 10*h**3 + 11*h**3 - 7*h**2 - 9*h - 20*h**3. Calculate l(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*n - 30. Let s(c) be the second derivative of -c**3\/6 - 7*c**2\/2 - c. Let l be s(n). Put -1, 3, l in ascending order.\nAnswer: -1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -20. Suppose -3*g + 3*y + 38 = -2*y, 4*g - 36 = p*y. Let h = 3 - 3. Solve -g = -h*d + 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:52 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 73 (b) 37 (c) -5 (d) -2\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317468202?\nAnswer: 2, 3, 3221, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 187*j + 26 - 15 - 2 to the form i*j + q and give i.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {t: 6, m: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13c (base 14) in base 3?\nAnswer: -100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21594912 + 0.2157. What is l rounded to six decimal places?\nAnswer: -0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95856*f = 85127*f - 418431 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**16*w)\/(w**29*w)*(w**(6\/17))**(-30) assuming w is positive.\nAnswer: w**(-367\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-3)\/7*-28\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3480, -3618, -3842, -4146, -4524?\n\"Answer: a**3 - 49*a**2 + 2*a - 3434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8603490 and -23\/22578?\nAnswer: 610847790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9 = -5. Sort -6, 2, 5, h in ascending order.\nAnswer: -6, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347534 = 216*t - 1323774 for t.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8751451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = 4*q, -4*q - 4 = 3*n. Suppose n = 3*u - u. Suppose 24*d = 19*d + 11*d. Solve 3*x - 2*s - 3*s = u, d = -2*x - s - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216876 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(7))**2*-1 + (sqrt(7) - sqrt(28)) + -5 + -5.\nAnswer: -22 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -y + 4*y - 9, -6 = -2*y + 5*f. Suppose 90 = y*n - 54. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/b**(-1))\/b*b)*b)**(-19))**(-1\/4)\/((b\/(b**(2\/5)\/b))**(-47))**(1\/19) assuming b is positive.\nAnswer: b**(-301\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6724*u**4 - 140*u**2 + 2*u - 4235291 wrt u.\nAnswer: -26896*u**3 - 280*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 38242*h**2 + 365574396*h - 731301768.\nAnswer: (h - 2)*(h + 19122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1683 and 97113231.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 6*n + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9223 = 198*i + 3877 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-22) + 16093\/(-2662).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-31 + 28 - (-2 + 3 - -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -78*b**2. Let k(j) = -4*j. Calculate n(k(t)).\nAnswer: -1248*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3 + 43895*t**2 - 87786*t = 0.\nAnswer: 0, 2, 43893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 6, r: 4, h: 1, l: 1, t: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200313, -400609, -600905, -801201, -1001497, -1201793?\n\"Answer: -200296*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -149 and -2595.\nAnswer: 386655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -2\/9, 2\/7, 2.54, 0.7, 17, 1\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/42*m**7 + 0*m - 3\/2*m**3 + 0 + 0*m**6 + 0*m**5 + 0*m**4 + 8*m**2. Differentiate q(b) with respect to b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q**5\/5 + 738*q**4\/5 - 4088*q**3\/5 = 0.\nAnswer: 0, 7, 292\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 10) + 3 + -17 + 7 + -31\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 5*o - 9. Let x be w(-7). Suppose -x*d = -d - 12. Let t be 3*6\/9 - d. Which is the biggest value? (a) t (b) 0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 8*q**2 + 11*q + 3. Let y = -13 - -25. Suppose 0 = 4*i + 6*g - 3*g - 27, 4*g + y = 0. What is the remainder when f(i) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 134? (a) 2 (b) 901 (c) 4 (d) 0.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2. Let n(k) = k**3 - 17*k**2 - 18*k + 12. Let h be n(18). Let y(t) = 2*t - h + 12. What is v(y(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(17) + 2)*2 + 1)**2.\nAnswer: 44*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ec + -1b?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*l**4 + 2346862*l**3 - l**2 + 4*l + 40930739?\nAnswer: 144*l**2 + 14081172*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3549, 3956, 4649, 5640, 6941, 8564, 10521, 12824?\nAnswer: 15485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252675*g**3 - 197706*g**2 wrt g?\nAnswer: -1516050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 10 = -2. Let m be d\/(-6) + (-2)\/(-6). Let c(y) = m + 0*y - y - y. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 13 - 4. Let l(v) = -167*v + 502. Let q be l(3). What is the third smallest value in d, -10, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1707722881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*(-2 - -4))\/1. Let f be j\/(-5) - 68\/(-20). What is the second derivative of -2 - f*b**2 + 2 - b wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 6, b: 8, h: 1}. Give prob of picking 1 h and 2 f.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/40 + r**4\/24 + r**3\/3 - 4*r. Let t(l) be the second derivative of w(l). What are the prime factors of t(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 + 3*c**2 - 3*c + 2. Let u(x) = 4*x - 4*x**2 - 6*x**3 - 3 + 14*x**3 - 4*x**3. Let a(j) = 4*q(j) + 3*u(j). Give a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 129048?\nAnswer: 3226200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 1. Let b(d) = 1. Let m(w) = -a(w) + 5*b(w). What are the prime factors of m(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f**3\/3 - 48*f**2 - 302*f\/3 - 68 = 0. What is f?\nAnswer: -3, -2, -17\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -14 + 5 + (-2 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -1, 15.2, -2\/289 in ascending order.\nAnswer: -1, -2\/11, -2\/289, 15.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3475*q + 1670*q + 862*q - 5768*q to the form i + c*q and give c.\nAnswer: -6711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 165*z**2 + 3801*z + 144. Give f(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771296252?\nAnswer: 2, 3, 11, 53, 23017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222230.\nAnswer: 2, 5, 71, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/5 + 48*t**2\/5 + 12*t\/5 - 192\/5 = 0. What is t?\nAnswer: -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3328226*a**3 - 3*a**2 + 5166089 with respect to a.\nAnswer: -9984678*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1526013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-10)\/(-14) + -1). Let a(z) = 13*z + 3 - 14*z + 0 + d. Is a(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29378627 to the power of 1\/2, to the nearest integer?\nAnswer: 5420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 + 23*z + 7. Let g be u(5). Calculate the smallest common multiple of 49 and g - (-39 + (-9 - -3)).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**37)**(-1) assuming z is positive.\nAnswer: z**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c + 886. Give b(-46).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4040 divided by -5\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288738, -288731, -288720, -288705, -288686, -288663, -288636?\nAnswer: -288605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0 - (-56)\/(-20))*5)\/(-2). Suppose -v = 3*m - 19. Suppose -4*y = 3*i - 1945, i + i = -m*y + 1946. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 + -128. Calculate the highest common divisor of 286 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.642113689 rounded to two decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 27 = -2*d - v, -3*v - 10 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028592806 to 5 decimal places.\nAnswer: -0.02859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*h - 22*h - 484 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264\/23 - 4313\/506. Calculate the common denominator of 807\/680 - (-4)\/(-10) and s.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371203943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 6*p - 2. Let q be l(3). Find the common denominator of -79\/16 and q\/(-16) - 4 - 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (261\/(-10))\/29*34\/(-510)*-125.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -986, -853, -616, -275, 170, 719?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, j: 3, s: 13}. What is prob of sequence rj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/12)\/1 - (-248)\/6. Calculate the greatest common divisor of k and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l - 22*l - 70. What is the greatest common divisor of 42 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201\/4 - -199\/4. Sort 0.3, 7, -1\/4, z in decreasing order.\nAnswer: 7, 0.3, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-10)*8\/(-16) - 9\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22637*m**5 - 164 + 13 + 23100*m**5 + 14*m**2 + 30*m - 3*m**2 + 0*m**2 wrt m.\nAnswer: 9260*m**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**3 - 2*u**2 + 1. Let y be l(-1). Suppose -y*b - 12 = -2*b, 2*m - 4*b - 10 = 0. Let c(g) = -g + 4 + 3 - 6. Let x(k) = k. Calculate m*x(a) - c(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 54*u - 10. Let i be m(-17). Suppose 6*s - i = -5*s. Is 29 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2842)\/319)\/(-49)*3\/4?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 23. Calculate the lowest common multiple of 11 and x(-15).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 = 22. Let n = 2 + b. Suppose -n*z + 5*v = -2*z, 0 = 5*z - 4*v. Solve -5*h + z*x = x + 15, -4*x = 3*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*f - 4*v + 38, -5*f + 4 = 3*v - 31 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*n**6 + n**5 + 1786*n**4 + 2*n**2 - 8878*n - 62 wrt n.\nAnswer: -4680*n**3 + 60*n**2 + 42864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2040651472.\nAnswer: 2, 127540717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - (145\/10 - 6). Let w = 9.7 - 9.3. What is the second biggest value in i, w, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 4*r**2 + 3*r - 14. Let a be n(6). Let p = a - 50. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11 = -i, 4*b - 8 = i - 5*i. Suppose -1 = b*a - 13, -2*a = 2*h - 24. Suppose 3*g - 5*g + h = 0. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 44*t + 39 = 0. Let r(h) = 52*h**2 - 48*h - 133. What are the prime factors of r(t)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 13. Let i(y) = -y**2 - 6*y + 5. Let w be i(-4). Let s be d(w). Suppose s = 2*z - 32 - 52. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*((sqrt(275) - (-2 + sqrt(275)))*2 - sqrt(275) - sqrt(275)) + -4)**2.\nAnswer: -69600*sqrt(11) + 1003456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4161?\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61707*j**2 + 28*j + 11373423?\nAnswer: -123414*j + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 16*h**2 - 6. Let g(z) = -z**3 - 31*z**2 - 11. Let p(a) = 6*g(a) - 11*u(a). Solve p(w) = 0 for w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1153 + -1127. Let q = -38 + 87. What is the remainder when q is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-6) + (3 - -37).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 724*z. Let v(a) = -a. Determine v(y(b)).\nAnswer: -724*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 2. Let t(y) = 1. Let l be (-7)\/1 - -3 - -2. Let f(q) = l*t(q) - g(q). Let c(n) = 14*n**2. Give f(c(p)).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(2\/21)*t*t*t*t\/(t\/t**(1\/7))*(t*(t\/t**1)\/t)**(-15) assuming t is positive.\nAnswer: t**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.53? (a) -15 (b) 4\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-3)\/((-1593)\/1731). Let r = 7275\/826 - m. Let y = 33\/7 - r. Which is the closest to 0.3? (a) y (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -341168767 and -341168768 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:25 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -90, -5, 7, -7.\nAnswer: -90, -7, -5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 4. Let f be x(4). Let d = -1 + 1. Let g(t) = -1 - t**3 + d*t**3 - 5. Give g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*i - 33 = -0*o, -2*o - i = -5. Solve 9*t = o*t + 10, 5*z - 11 = 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(57\/18 + -3). Let u = 137.9 + -138. Which is the nearest to -0.2? (a) u (b) -1\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85371808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -466, -1944, -4408, -7858?\n\"Answer: -493*i**2 + i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 4\/(140\/103). Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064, -1049, -1020, -971, -896, -789?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 2*r**2 + 85 + r**2.\nAnswer: -r**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k + 3. Let s = -9 - k. Let q = 51 - 50.7. Which is the biggest value? (a) 2\/3 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1327*y + y**3 - 234*y**2 - 1327*y in the form m*y**2 + t*y + i + z*y**3 and give m.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 7. Let z be g(-4). Solve -5*j - 2 = 3*f, -z*j + 1 = f + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2 + 2*i - 1. Let b(f) = -18*f**2 + 4*f - 2. Determine 2*b(h) - 5*v(h).\nAnswer: 9*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*s + 6 = 0, -5*x + 36 - 13 = -s. Let w(i) = i - 4. Let g be w(x). Is g greater than 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 64 = 3*v - 8*v, 5*v + 2*a = -67. Let h be ((-1)\/(-3) - 0)\/(v\/(-78)). Solve 5*u - 9 = 3*x, 16 + 3 = h*x + 5*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2958 and 3500793?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - h)*(4 - 3 + 1)*(-2*h + 23*h - 2*h) to c*h**2 + j*h + m and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26750479*p**2 - 220727235*p**2 - 68785634*p**2.\nAnswer: -262762390*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 50529 = 5*a + 4*m, 0 = -a - 2*m + 16839. List the prime factors of a.\nAnswer: 3, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m + 11*m - 5 - 3 - 3*m. Let a be t(4). Calculate the highest common factor of 72 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 9 = -3*n. Let h be 9\/n*4*1. Suppose 0 = h*b - 5*b - 2*l + 417, 2*l = 2*b - 840. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 17*v - 145*v - 24*v - 122*v.\nAnswer: -274*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2736*v**2*z**6 + 4*v**2*z**3 - 2*v**2*z**2 + 6422*v**2*z wrt z.\nAnswer: -328320*v**2*z**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -610, 21, 8, -4, 5, -2 in ascending order.\nAnswer: -610, -4, -2, -1, 5, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209 by -1490.\nAnswer: -209\/1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*a + 12, -5*u - 5*a = -2*a - 14. Suppose 20 = -0*f + u*f. Find the second derivative of 2*b - 13*b**f + 23*b**5 - 17*b**5 wrt b.\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - -3) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3346817 rounded to the nearest 10000?\nAnswer: -3350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -24 + 10. Suppose 2*l = -5*s + 146, 63 = 2*s + 2*l + 1. What is the greatest common factor of s and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*p - 74*p + 125*p)*(-2 + 0 - 1) as t*p + i and give t.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 44. Let z be (455\/(-26))\/(h\/(-2)). Suppose z = 5*a + 2*q, -6*a + 2*a + q = -15. Solve 0 = -5*y - u + 3*u + 30, 5*y + 5*u + a = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 6*l**2 - 6 + 5*l**2 + 7*l**2 - 5*l**2. Determine k(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0 + 0*h**2 - 2*h**3 - 3\/20*h**5 + 60*h - h**4. Factor o(c).\nAnswer: -3*c*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0 + 9*d**2 - 4 + 7*d**3 - 8*d**3 - 9*d + 3. Let v = 57 - 48. Calculate the remainder when q(7) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2400 and -2.\nAnswer: -4800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 + 5810*l**3 - 3232056*l**2 + 378302464*l + 8905031680 = 0. What is l?\nAnswer: -3397, -20, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -49.5. Let k = -32.72 - -13.72. Let h = d + k. Round h to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddeqvqyyeheqd. What is prob of sequence eeq?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 4. Let o be w(-5). What is the units digit of ((-2)\/2 + 3)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*m - 72 = 531*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20*a - 5. Let h(z) = 42*z - 12. What is -4*h(q) + 9*p(q)?\nAnswer: 12*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*c - 8*c + 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2001 - c**2 + 2001. Let j(g) = g**2 - 2*g. What is -j(y) - 6*m(y)?\nAnswer: 5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4486*l + l**2 + 4486*l + 2*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 672, -116, 4 in decreasing order.\nAnswer: 672, 4, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -64, -5, 1 in decreasing order.\nAnswer: 1, -4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 - 26993168*k**2 - 91078916827690*k - 182157725682724 = 0.\nAnswer: -6748291, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*r = -188*r + 60 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 2*g - 14. Let f(j) = 6*j**2 - 11*j + 71. Give 11*a(q) + 2*f(q).\nAnswer: q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8728.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1251 - -793. Let k = -456 - p. Solve 0 = -k*c - c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759743 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 2f1d?\nAnswer: 2f1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 867*u**2 - 4419*u - 3831279. Determine i(-867).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98505?\nAnswer: 3, 5, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27)*1*-6)\/sqrt(9) - (sqrt(3) + sqrt(30)\/(sqrt(40)\/sqrt(4)) - (1*sqrt(27))\/sqrt(9))) + -1)**2.\nAnswer: 14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55*c + 52?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/22)\/(-2)*1. Let o = -79.9 - -80. What is the closest to o in -0.4, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 3:38 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by -124.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -220\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/(g**(-2)\/g))**(-2\/13))**(-1\/5) assuming g is positive.\nAnswer: g**(8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 906612252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75454)\/1674 + (-4)\/(-54). Let q be (5\/3)\/(-2 - (-85)\/30). Suppose 0 = 2*z - o + 5, -4*z = z - 5*o + 20. Put z, q, b in descending order.\nAnswer: q, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 3. Let w(t) = t - 5. Let b be w(-14). Let m = -14 - b. Suppose m*f - 35 = 5*u, 3*u + 1 = -f - f. What is g(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 13. Let k be c(-16). Let n(b) be the second derivative of b**k + 9*b + 0*b**2 + 0 + 7\/6*b**4. What is the second derivative of n(v) wrt v?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (443\/348 - 2) + (-97)\/(11640\/(-90))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1108*p**3 + 2*p - 5*p + 3*p + 1117*p**3 - 2224*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bubu when four letters picked without replacement from qububbqqbbsbbbqubsu?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, z: 1, e: 3, s: 6, w: 6}. Give prob of picking 2 w.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 4*s**2 - s - 1. Let g be c(-4). Factor 0*y**g + y**2 - 2*y**4 + 0*y**4 - y**3 + 0*y**4.\nAnswer: -y**2*(y + 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310414 + 1441?\nAnswer: 312410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w. Suppose s - y + w*y = 0, -5*y + 9 = -2*s. Solve 5*b - 5*z = -5, -3*b - s*z = 3 - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 g when four letters picked without replacement from {y: 3, g: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -19 (b) -9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432111 - 102?\nAnswer: -432213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -17*m**4\/2 + 56*m**3\/3 - m**2\/2 - 52. What is the third derivative of a(r) wrt r?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18082 - 18082.04. Sort h, 0.4, -0.1, 1\/6, -71.\nAnswer: -71, -0.1, h, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (11 - (-546)\/(-21))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1 (b) -1\/3 (c) 25 (d) -0.4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -320 + 227. Suppose 2*b + 97 = -87. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-1 - (4 + -5)). Suppose -y + 2 = -t. Let 6\/5*p + 3\/5*p**y - 9\/5 = 0. What is p?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157679713 and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109912 and 535821?\nAnswer: 4286568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.48464ug in milligrams?\nAnswer: 0.07548464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4545 rounded to 2 decimal places?\nAnswer: -12.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 456*z**2 + 148*z - 149. Calculate x(1).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 24*o + 29*o**2 + 24*o in the form y*o + u*o**2 + a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 5126. Let q = 8436 - i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17657? (a) -0.02 (b) 2\/7 (c) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -19*j**2 - 4428*j - 226. Calculate z(-233).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 < 7507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46071 - 46069. Factor -56\/11*z - 392\/11 - 2\/11*z**r.\nAnswer: -2*(z + 14)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 27 = -w. Let o be 221400006\/w - (-10)\/45. Round o to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23123)\/8519)\/((-19)\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/16 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -0.2, -18, 0.3 in ascending order.\nAnswer: -18, -0.2, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -3*t**5\/10 + 12*t. Let z(m) = m**3. Calculate 6*w(d) + 39*z(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p - 86. Let i be a(-10). Suppose -3*z + 6*z = -3*v + 705, -i*z - v + 931 = 0. Calculate the highest common divisor of z and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6 - 20\/8) + -11. Let k(l) = -4 + 3*l + 6*l + 14 + l**2. What is the tens digit of k(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/13 + (-44)\/52)*16. Is (u\/(-4) - 3) + 357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103322010 - 102?\nAnswer: -103322112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909 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: Two letters picked without replacement from {r: 2, t: 5, u: 3, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -48.55*-3.7\nAnswer: 179.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-8))\/((-96)\/192).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-8 - (0 + 1)). Let j = r - 6. Suppose 0 = -j*a - 0*a. Is a not equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/98593 + 197240\/887337. Let n be ((-6)\/(-8))\/(27\/8). Solve -u*r**2 - n*r**3 + 2\/9*r + 2\/9 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.8 + 7. Which is bigger: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzln when four letters picked without replacement from {e: 4, n: 2, l: 3, z: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4830, -4795, -4748, -4689?\n\"Answer: 6*i**2 + 17*i - 4853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 - 8*u + 32 = 0. Calculate u.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 - 2*o**2 + 1. Suppose 10 = 5*c + 15. Calculate l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-38)\/(-4))\/((-1)\/(-8)). Suppose 0 = -3*w - 19 + k. Let j = 31 - w. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2577275885 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - 25\/(-10). Suppose -5*d - j = -18. Solve -d*x = -x, -3 = -3*v - 5*x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**13\/(q*q**(1\/2))**(1\/6) assuming q is positive.\nAnswer: q**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-3) + 9 + 3. Suppose 5*z - 5 = -n, -z + 3*n - d = -4*z. Suppose z = 3*k - 22 - 47. Calculate the highest common factor of 161 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216936 is divided by 54209.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 40, -121, -346, -635?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 15) to base 4\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058283?\nAnswer: 3, 1352761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16175, -16192, -16197, -16184, -16147, -16080, -15977?\nAnswer: -15832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = -10. Suppose -2*i - s = -9, d*i + i = 4*s - 14. Let b = i + 1. Solve -2*z = 3*p - 13, 6*p - 3*p - 18 = -b*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -149*p + 177. Let g be m(1). Solve 0 = -20*r - 32 - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00088647 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let r be h(-3). Let a be ((-30)\/18)\/(r\/6). List the prime factors of (-190)\/((2\/6)\/(a\/(-30))).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o - 82. Calculate u(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + ((-6)\/(-6)*3)\/(-3). Solve 5*f = o*d - 35, -f + 17 = 4*d - 0*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1020\/(-102)*27\/(-30)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 21 = v - 3*x, 0 = 5*v + 4*x - 56. Calculate the smallest common multiple of v and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 1) + (-1540)\/119?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3554292.6940132 - -3587260.03. Let v = d + -32942.336. Let p = 25 - v. What is p rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2196619.\nAnswer: 2196619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-8) + 1 - (-15)\/60. Let w(v) be the third derivative of 4*v**2 + 1\/180*v**i + 0*v - 1\/18*v**3 + 0 + 0*v**4. Solve w(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 5*u**2 - 4*u + 5. Let a be r(4). Suppose 5*d = 3*x + 13, a = 4*d + 4*x - x. Suppose i + 0 = d. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 4, 3 in decreasing order.\nAnswer: 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 191.647*-21\nAnswer: -4024.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (2 + 5 - 14)) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d*d**(3\/2)))*d)\/d)\/d**(1\/3))**34 assuming d is positive.\nAnswer: d**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/(-36)*8\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2468*r**2*t**4 - 30*r**2*t**3 + r**2*t**2 - 5*r**2*t - 2*r + 172*t**2 - 27*t wrt t?\nAnswer: 59232*r**2*t - 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7 = -23. Suppose -28*j = -30*j + h. Solve 0*a = j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 299, 1067, 2599, 5159?\n\"Answer: 44*n**3 - 14*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 - 71*t - 65. What are the prime factors of g(-7)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9796.7773 and -0.02544614.\nAnswer: 9796.75185386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**8)**14 assuming c is positive.\nAnswer: c**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286600, 5146573, 11579850, 20586425, 32166292, 46319445, 63045878?\nAnswer: 82345585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 109*u + 4290. Give m(-31).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63588454171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/3))**(-25))**(-11) assuming x is positive.\nAnswer: x**(-275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k + k)*(-k + k - k) + 375*k**2 + 133*k**2 + 2385*k**2 to g*k + m*k**2 + l and give m.\nAnswer: 2891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 113 = 4*w, -2*a + 190 = 3*a + 5*w. Let c be (10\/4 + -1)\/(a\/52). Solve -2*v = 5*g - 3*g + c, 0 = -2*v + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**2 + 7 + 6*j**2 - 3*j**2 - 10*j + 2*j**2 with respect to j.\nAnswer: 2*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 279*u - 1340. Give q(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 312*h**2\/7 + 13320*h\/7 - 87616\/7.\nAnswer: 2*(h - 74)**2*(h - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g + 338 = -62. Let o(w) = 110*w**2 + w + 101 - w. Let i(a) = -37*a**2 - 34. Let j(h) = g*i(h) + 3*o(h). What is the first derivative of j(b) wrt b?\nAnswer: 68*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 - -7. Put z, 3\/7, -0.4 in increasing order.\nAnswer: -0.4, z, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6884 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2164 and 75199.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 161*u**2 - u - 2. Let d(a) = a**3 - 10*a**2 - 1. Let m be d(10). Let q be x(m). Suppose 0 = h + 4*h + q. What is h rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*w = -96*w - 839223. Sort -4, -1, w in ascending order.\nAnswer: w, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2280 and 1520.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1000111000101 (base 2) to base 5\nAnswer: 121144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from llldlulullkuo.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r + 16*r - 2*b + 2, 0 = -3*r + 4*b + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -5*b**4\/4 - 2*b**3 - 5*b + 1. Let n(v) = -9*v**3 - 11*v**2 - 9. Let s be (-1 + 3)*(3 + 0). What is s*n(m) - 11*l(m)?\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 23\/2*s**2 + 23 - 8*s + 0*s**3 + 7\/2*s**4. Let n(c) = 5*c**3 + 8*c - 3. Determine 3*j(x) - 8*n(x).\nAnswer: 2*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-265)\/(-1590))\/(2\/(-16)*3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118528.44 smaller than 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 2*d + d + (1 - 1 - 1)*(2*d - 3*d - d) + (-3*d - 3*d + 4*d)*(0 + 0 + 2))*(-296 + 497 - 457) to y + u*d and give u.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14058?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 - 20*v**4 - 27*v**4 + 6*v**2 + 5*v**3 + 50*v**4 = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**5\/60 + 25*t**4\/12 - 47*t**3\/2 + 207*t**2\/2 - 819*t\/4 + 2581. Factor v(o).\nAnswer: -(o - 91)*(o - 3)**3\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 1789381687224.\nAnswer: 1789381687226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008633 rounded to six dps?\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663644 (base 7) to base 5.\nAnswer: 12212403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 7*b - 500. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-11) + 3142\/(-22). Let v(f) = 214*f - 4. Let x be v(-1). Let l = q - x. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2932 divide 97902412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-387) + (-44172)\/(-1161). Let m be 4\/10 - 4176\/(-10). What is the highest common divisor of m and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 - h**3\/4 - 11*h**2\/2 + 10*h.\nAnswer: h*(h - 4)*(h - 2)*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*d + 10, -4*d - 4 = 2*x + 8. Let l = d + 143. What are the prime factors of l?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -427, -425, -423, -421?\n\"Answer: 2*g - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 27*a + 36993 - 36995 - 7*a**3 in the form z + r*a**3 + u*a**2 + c*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 - (-1 - -3)\/2. Let m = d + -16. Suppose 1 = b - m. Solve 0*j = -3*j + b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 9*v**2 + 6*v + 8. Calculate l(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-1 - 0)\/(-2)). Let t = 6 - y. Calculate the remainder when 40 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/5 + 2259*f\/5 - 2262\/5 = 0.\nAnswer: -754, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000169708 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 68512?\nAnswer: 1164704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 149*w**2 - 308*w - 2056. Let l be a(-147). Determine i, given that -2\/3*i**l + 8\/3*i + 8\/3 - 2\/3*i**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4535 - 54347\/12. Calculate the common denominator of b and -7\/58.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*w = -12, 2*b - 7*w - 8 = -10*w. Solve -b*f + 3*v = -2*f - 8, 0 = 4*f - 4*v - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ashbbcb. Give prob of sequence hc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a + 29. What is n(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006892 rounded to five dps?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssdssssddsdsssssdss. What is prob of sequence dsds?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/661 - -5266\/7271. Factor -w*t + 2\/11*t**2 - 10\/11.\nAnswer: 2*(t - 5)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63716 and 3748.\nAnswer: 63716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*u + 9 + 16, 3*u - 14 = -2*h. Solve -u*v - 23 = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 5, 3, 1\/49, 1\/7, 166 in decreasing order.\nAnswer: 166, 5, 3, 2\/7, 1\/7, 1\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 - 4*l - 3. Let r be o(4). Let p = 28 - 9. Let j = -18 + p. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/140 + (-6)\/(-26). Let b = a + -3\/13. Let l = 29\/105 + b. Is 0 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -10. Let b(c) = -c + g*c - c - 5*c. Let a(d) = 22*d**2. Determine a(b(n)).\nAnswer: 88*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*d + 8*d + 6*d**3)*(1 - 9 + 0) - 46*d**2 + 7*d**3 + 46*d**2 + (-3*d - 4 + 4)*(3*d**2 - d**2 - d**2) in the form c + g*d**2 + a*d**3 + b*d and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -307 - 12018?\nAnswer: -12326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*k - 8046 = 73118, -p - 5*k = -40567. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -20. Let h(a) = -6 - q + 2*a**2 + 11 + 2*a. Is 2 a factor of h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 14*b + 0*b**2 + 0 + 5\/3*b**3. Let u(p) = 1. Let c(y) = -y + 6. Let g(s) = c(s) - 6*u(s). Determine z(g(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 27*q - 325. Determine g(23).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -1\/5*d**5 + 0*d**3 - 3*d**2 + 0 - 1\/168*d**8 + 3\/4*d**4 - 2\/15*d**6 + 2\/35*d**7 + 0*d. Let o(a) = 0. Calculate a.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/834353 and -15\/221.\nAnswer: 14184001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1746 and 27063873?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) + (-30)\/(-56). Let p = -50 + 101\/2. Sort w, -2, -3, p in decreasing order.\nAnswer: p, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 - x**4 - 4*x**4 + (9 - 17*x - 9)*(-28 + 28 - x**2 + x**3).\nAnswer: -18*x**4 + 17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 9*n - 209. Let x(t) = -5*t - 13*t + 8*t + n*t. Let v(c) = -2*c + 112. Give x(v(j)).\nAnswer: -2*j + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + q = -2 + 35, 9 = 3*q. Suppose -p = -4*f + 2. What is the third derivative of -g**2 + 2*g**2 - 3*g**f - g**6 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2800\/(-455) + 2\/13. Let j(u) = u**2 + 9*u + 14. Determine j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 68282*b - 3072682. What is a(45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.2*-0.3.\nAnswer: -8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-24)*15 + (5812\/8 - 9) is divided by 674?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 394 + -262. Suppose 23*w = 11*w + i. Solve -8*g - 13 = w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, -0.1, 1\/6 in descending order.\nAnswer: 1\/6, 0, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 12629 and 12629 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 12 - 1\/3*k**3 + 0*k**2 - 4*k. What is o(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 3034?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -424 by 2441.\nAnswer: -424\/2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 4*z)*(1 - 2 - 1)*(17*z + 65*z + 3*z)*(-3*z + 4*z + 0*z).\nAnswer: 510*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -952 - -1967. Suppose -35*f = -30*f - r. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 + 1080*l - 35838.\nAnswer: 2*(l - 33)*(l + 5973)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*t + 0 + 10*t**3 - 2 - 55*t in the form o*t**3 + u*t**2 + h*t + r and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-100)*(-4)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-105))\/(158*(-121)\/(-95590))?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 - 9*z + 8. Let a(o) = 2*o - 3. Let u be a(3). Suppose g + u*s + 3 = 0, 4*s + 36 = 4*g - 0*s. Calculate j(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + (8 - -1 - ((32 - 75) + 41))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-4 - 2) + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272916213.\nAnswer: 19, 79, 149827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 2*r + 20, 2*r + x + 2 = -3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0 - 33. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14117 is divided by 4118.\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 11:56 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*t + 20, -1 = 5*o + 4. Suppose 0 = -14*y + 2*y - y. Solve t*l + l - 20 = y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -532, -531, -528, -523?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 68 = 4. What is the remainder when 64 is divided by (k\/(-10))\/(20\/(-1150))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/5 + s**4 - 8*s**2 + 8*s. Solve d(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24412906 divided by -4601.\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -0.39. Let a = i + -0.08. What is the biggest value in 1, 4\/3, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2 - 4 + (-1 - 3 + 3)*(0 + 4 + 2))*(3 - 28*y + 1 - 4) + 4*y - 3 + 3.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 24 - 4. Suppose 5*j = 2*i + 34, 0*i + 51 = -5*i + y*j. What is the smallest common multiple of (0 - (i + 3)) + -2 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 2. Let d be (6\/y)\/((-21)\/2). Let t = -6631 - -6631. Which is the nearest to -2? (a) d (b) 3\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/6)\/3)\/(112\/64)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 526423 + -293076. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13865 + -13858. Solve 55 - 52 = a, -5*a + g = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32.6 * -8.3\nAnswer: -270.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-54))\/(1\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17*c**2 - 1273*c - 2537. Calculate q(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64869 is divided by 299?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8)\/(32\/64)*(0 - 0). Solve 0 = -5*p + 15, o = 4*f - 10*p + 7*p + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 36 = -0*m. Suppose 0 = 4*s + 5*d - 135, -m*d = -0*d - 6. What is the lowest common multiple of 78 and s?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189129 + 123336. Let u = h - -149332. Let n = 15539 - u. What is n rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4 = -3*t, 6*t - t = -3*d + 18. Suppose -4*q + t*q = -197. Let v = q + -109. What is the highest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62\/7 or -10073\/2?\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)*o**(-15) assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 946 + -18 + 10 + -1 + 7. Let z = u + -838. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-935*(-87)\/47850\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -79. Let x = h + -38. Let z = -4 + 4. Solve x*f + 4 + 1 = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78c - 1?\nAnswer: 78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**2 + 0*j**2 + 6*j**2)*(-2*j - j + 2*j)*(3 - 5 + 1).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.37 - 0.37. Let f(p) = p**3 - p**2 - 8*p + 3. Let s be f(5). Let v = s - 64. Which is the smallest value? (a) -0.2 (b) t (c) v (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/945 - -4723\/1890. Let t = 5.8 + -0.8. Let l = 0.07 - 0.16. Which is the biggest value? (a) r (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.624912 - 16.125. Let m = 2.592 + -0.092. Let r = b - m. Round r to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssesessssssssss. What is prob of sequence ssss?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t. Suppose t = -6*f + 68 + 10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -14\/3*i**6 + 0*i**2 + 4*i**5 - 72 + 16*i**4 + 0*i + 16\/3*i**3. Solve t(r) = 0 for r.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238436 or -238406?\nAnswer: -238436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 11*h - 32*h. Let s(l) be the first derivative of -3 + 1\/6*l**h + l + 3\/4*l**2. Find m, given that s(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 + 33*z - 5 in the form o + u*z and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1292 and 18428.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1418126?\nAnswer: 1418124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254415, -508782, -763075, -1017258, -1271295, -1525150, -1778787, -2032170?\nAnswer: -2285263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2257c + 2125?\nAnswer: -20457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 5, m: 2, k: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6450 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w**4 + w**2 - 23*w - 6485 wrt w?\nAnswer: 12*w**3 + 2*w - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -215*g**3 - 4*g**2 + 7*g - 2. Let s(f) = 214*f**3 + 3*f**2 - 6*f + 2. Let x(a) = -5*i(a) - 6*s(a). Is x(-1) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260989, -521980, -782971, -1043962, -1304953?\nAnswer: -1565944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 27. Suppose -124 = -2*f - 2*z, 0 = 2*f + z + j - 137. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2650 (b) -1\/3 (c) -5 (d) 0.198 (e) -1 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*f - 21 = -f, 4*q + 3*f - 26 = 0. Suppose 5*j - q*b = 5, -b + 20 = 3*b. List the prime factors of (4\/6)\/(j\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52, 140, 228?\n\"Answer: 88*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5 - 25137*v**4 - 156282578*v**3 + 21225903046*v**2 - 41982857805*v + 20913262475 = 0. Calculate v.\nAnswer: -12635, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 150\/90*(3\/(-20))\/(1323\/(-196))\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 - 7*k + 37. Let g be u(-11). What is g rounded to the nearest 10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 216.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 1.09.\nAnswer: -34.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574085.\nAnswer: 5, 19, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m - 44068 + 409146 = -54*m. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 15*z - 552 = 0. What are the prime factors of z?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, 1, -8, -4, -5, 4 in decreasing order.\nAnswer: 5, 4, 1, -4, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-10 - 17) - 11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(3*sqrt(2)*-1)*2)\/(sqrt(144)\/(sqrt(4)*-1)*-4).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 36, 2 in descending order.\nAnswer: 36, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -391234776 divided by -664\nAnswer: 589209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 296\/481*26\/4. Solve -2*b + 3*j - 217 = -202, -d*j = -2*b - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1675)\/75 + 23)*(-5)\/((-10)\/(-36))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -218705 (b) -4\/5 (c) 2116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3430 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 + 50*d**3 - 140*d**2 + 120*d = 0?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20950*h + 20953*h = -4*d + 28, 0 = -2*h - d + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 15*i**2 - 29*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 165*k - 40, k - 63 = i - 37 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-171)\/36 + 1\/(-4). Let u(x) = -7*x**3 + 5*x**2 - 4*x. Let s(f) = -8*f**3 + 6*f**2 - 5*f. Determine m*s(v) + 6*u(v).\nAnswer: -2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d**4\/4 + 2*d**3\/3 - d - 2. Let y be j(-1). Let q be (3\/6)\/((-10)\/y). What is the third smallest value in 5, -1\/6, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, 170, 407, 646?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:38 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 3:00 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 17. Let q be c(-17). Solve q = -0*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 3 + 3 + (7*k - k - 2*k)*(3*k - 4*k - k) - 5*k**2 + 6*k**2 - 2*k**2 to x*k**2 + i*k + p and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, f: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9722480.\nAnswer: 2, 5, 121531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 106, 235, 416, 649?\n\"Answer: 26*l**2 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 a factor of 20728387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53888540 and 2790.\nAnswer: 484996860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/14)\/((-244)\/2135) + 8. Sort 5, 3, 2\/69, 5\/2, l in descending order.\nAnswer: 5, 3, 5\/2, l, 2\/69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 23 + (-4 - (21 + -23)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52723829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13538 - -25389. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 148*l**4 - l**3 + l**7 - 6 - 148*l**4. Find the third derivative of f(j) wrt j.\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(44) + (sqrt(44) - (0 + sqrt(44))*-5))**2.\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*v + 4890 + 2177 = 1463 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)*-1 + -11. Let l = v - -11. What is the derivative of 3 + 4*i + 7 - 6 + l wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 3*z + 4*z + (-5*z + 0*z + 4*z)*(-1 + 1 + 2) + (-1 + 2 + 1)*(42*z + 38*z - 47*z) to the form w + d*z and give d.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(392))\/(sqrt(5) - (sqrt(5) + sqrt(10)\/sqrt(128))).\nAnswer: -8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(78)*3*1)\/(sqrt(42)\/(-2*sqrt(14)\/sqrt(2))).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2905, 5809, 8713?\nAnswer: 11617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 904192 and 16384.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -40 + -12 + -5?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 3*k + 16. Let b(o) = -o. Let n(u) = b(u) - g(u). Let q be n(11). What is the highest common factor of q and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:50 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -41?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 241479?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*t = -2825*t - 149*t + 246260 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -932 + 931. Sort 1\/5, p, 0.1, -5 in decreasing order.\nAnswer: 1\/5, 0.1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1204\/5337 + 2\/593. Which is the second biggest value? (a) f (b) -2\/19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**8\/3360 + 7*f**5\/120 - f**4\/24 - 4*f**2. Let a(j) be the second derivative of y(j). Differentiate a(q) with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.098156 + 0.08653. Let d = -54.988 - -55. Let h = i + d. What is h rounded to 5 decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11145246 to the power of 1\/2, to the nearest integer?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v**3 - v**2 - v. Suppose 0 = -42*i + 38*i + 120. What is the smallest common multiple of g(-1) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100\/3 at most 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1123 by 43.\nAnswer: -1123\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f + 1872 = 78*f. Find the third derivative of 206*d - f*d - 48*d**2 - 93*d**6 + 14*d**2 wrt d.\nAnswer: -11160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*n**3 - 4*n + 46*n**3 - 5*n wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.1? (a) -6 (b) 3\/2 (c) 0.4 (d) 0.78 (e) -7 (f) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3809 and -59\/220922?\nAnswer: 220922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 5*l + 4*l)*(5 - 2 + 4).\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -24, 4\/3, 0.2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*h - 43, -3*z + h + 4 = -26. Let l = z + -7. Suppose 0 = 4*n + 3*p - 155, 2*n - 20 = l*p + 52. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**5*s*s)*s)\/(s\/(s\/(((s\/s**(2\/21))\/s)\/s*s))*s*s))**(2\/19)\/((s**(-1\/9)\/s)\/s*s**(2\/5))**12 assuming s is positive.\nAnswer: s**(41404\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.23, 101, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.034 - 113.966. Let z = t - -113. Let j = -117\/245 - 6\/49. Which is the closest to 0.1? (a) z (b) j (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2211 - -2216. What is the least common multiple of 566 and p?\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {i: 2, t: 1, a: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 177748, 177743, 177738, 177733, 177728?\n\"Answer: -5*g + 177753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0027 and -4.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -32760 bigger than -32426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 17. Let l be (-184)\/(-6) - (-4)\/12. Suppose -j*i + l*i = 112. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 277*c - 126*c - 149*c - 71*c - 4968 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1674*q - 85. Is w(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 507?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scskksnnskssdksk. What is prob of picking 2 n, 1 k, and 1 s?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.2171?\nAnswer: 0.10855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56354 plus 4?\nAnswer: 4.56354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-nine halves of a microsecond?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1583260*3.\nAnswer: 4749780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 247, -6, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/980*-7)\/(11\/(308\/24))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:49 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10115570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**4\/24 - 2*m**3\/3 - 6*m**2 + 25*m. Determine l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-10))\/(3\/(-10)). Suppose -2 - 392 = -j*x - d, -102 = -x - 2*d. Is 1\/3*(1 + x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p = -39*p + 165. Suppose 191967 = -p*i - 193583. Round i to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 198237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -6605.\nAnswer: -1\/6605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 12) to base 11.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 112 = -4*h, -3*b + 5*h + 19 = -75. Calculate the greatest common divisor of 161 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:03 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1285601 divided by -367\nAnswer: -3503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 - 26305*q + 4621890 = 0.\nAnswer: 182, 5079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.4 (c) 6 (d) -2\/43 (e) 8 (f) 4\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*38054\/(-718).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 29224\nAnswer: -3\/29224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 59, 0.1, -0.5, -762?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 256138985552.\nAnswer: 256138985547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 2, j: 2, s: 2, d: 6, v: 3}. What is prob of picking 1 n and 2 d?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331 + 330.99988256. What is i rounded to 6 decimal places?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/52 and -41\/22.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:52 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 27, 43, 59, 75, 91?\n\"Answer: 16*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 101101010110011001010?\nAnswer: -101101010110011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*(-6 - (-560)\/63). Let n = -94 - -190. Suppose -16*v**2 - n*v + m*v**4 - 52*v**5 + 60*v**5 + 88*v**3 - 18 - 18 = 0. What is v?\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1088 plus 0.57047?\nAnswer: 0.67927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -16*n + 25 - 103, 3*n + 4*n - 2*n = 2*s - 29 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13317 = -2*s + 13349 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -397 greater than -395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(2*y - 3 + 3) + (0*y - 4*y + 0*y)*(-1 + 5 - 3) + 4*y - 3*y + 2*y)*(10*y**3 - 15*y**3 + 23*y**3).\nAnswer: -90*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 573497010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*a + 34 = 0, -11*v + 2*a = -12*v + 21. Let o(h) = -h**3 + 13*h**2 - 5. Determine o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6387?\nAnswer: 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2)\/((-680)\/102*(-7)\/(-336))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(-1 + sqrt(117)))**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a millennium in centuries?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -144, -370, -606, -858, -1132, -1434, -1770, -2146?\n\"Answer: -g**3 + g**2 - 222*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/42*-43*280\/(-24940)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 18. Let k = -763.2 + 763. What is the closest to t in 60, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -584, -2002, -4768, -9332?\nAnswer: -16144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + p. Let o(m) = 1. Let h(q) = -7. Let j(w) = 3*h(w) + 15*o(w). Let l(r) = -j(r) + 3*y(r). Factor l(b).\nAnswer: -3*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4580726t?\nAnswer: 458.0726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eev. What is prob of sequence eve?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llu when three letters picked without replacement from uulllldbgldlluduuuu?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.2 + 276.2. Let q = -272 + l. Let s = 17.1 + -16. Which is the closest to 0? (a) s (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4 + 130*k**2 - 3*k - 34?\nAnswer: -24*k**2 + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/180)\/(99\/(-440)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 10*j - 21. Let b be d(-3). Solve 2*h = -b*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1097, 2206, 3025, 3560, 3817, 3802, 3521, 2980?\nAnswer: 2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -227.\nAnswer: 3\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 8165?\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**2 - 1 - 21*r**2 + 18*r**2.\nAnswer: -15*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 15*r + 200. Suppose -42 + 167 = t. Calculate the greatest common factor of t and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s - 302 + 2070 = 64*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2448\/(-510)*6\/72*4.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 22052*s - 1582578. Calculate a(-72).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 857127 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 11*j**2 - 8*j - 9. Calculate i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -29*t + 9. Let w be h(-3). Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.6? (a) 0.4 (b) 9.4 (c) 377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(6426\/(-24))*2401\/(-6860)?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 23*j - 18*j + 66*j - 135 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -0.1, -4, 145?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:14 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 11*f**2 + 11*f + 17. Let n be y(12). Calculate the greatest common factor of n and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38518\/6 - -1 - (-2)\/6.\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -99*f**3 - 184*f**2 - 19*f - 47. Determine y(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4637 + 4636. Let m be (-2)\/5 - 34\/(-10). Sort g, 17, m, -4.\nAnswer: -4, g, m, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1435, -1450, -1463, -1468, -1459, -1430, -1375, -1288?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -75. Suppose 0 = n - 1, a*l + 4*n - 4 = -0. Suppose 3*u + 0*z - 18 = -3*z, -3*z - 9 = l. Solve 4 = g + u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 130 = -5*u, d = 4*u + 14 - 25 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(98)\/sqrt(7)*-6)\/((sqrt(7) - -1*sqrt(28)\/sqrt(4))*-2).\nAnswer: 3*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63876*v**3 + 44*v**2 + v - 34?\nAnswer: -383256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -540, -504, -486, -492, -528, -600?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*p - 75*p + t - 29, -p - 5*t = -5. Solve 0 = -s + x + 3, -4*s + p = -5*x - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -310e (base 16) to base 14\nAnswer: -4810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 9*y = -48, 374 = 4*v - 2*y + 342 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*j - 28, -2*r - 17 + 1 = -4*j. Let k be (2\/(-6))\/(1\/r). What is the first derivative of 10*q**k + 1 - 9 + 1 - 2 wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -175*m**2 + 1821573*m\/7 + 2974\/7.\nAnswer: -(m - 1487)*(1225*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28422642 to the nearest integer?\nAnswer: 5331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5156513 to the power of 1\/2, to the nearest integer?\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 25, -u - 4*h = h + 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2791*d - 5095. Is l(68) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12\/5 (b) 1\/2 (c) -1\/4 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -8, 78606, 3 in descending order.\nAnswer: 78606, 14, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001537063 rounded to five decimal places?\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtbgtbggtbbbgrgbbtbg. What is prob of picking 1 g and 1 t?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - 6 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135*y + 11220 = 1322*y for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -14, 25, -7 in descending order.\nAnswer: 25, 0, -7, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787*o - 7*o**3 - 1579*o + 22*o**3 + 792*o.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141727 is divided by 10892.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**2 + 2*v - 1. Determine s(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, 3, -1562?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - 1*sqrt(1377)) + sqrt(1377))**2*-1 + (sqrt(272) + -2)*-2 + 0.\nAnswer: -1373 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + o + 11 + 6*o - 2*o.\nAnswer: -3*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.006, -2629\/3, 1\/7?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t + 1. Let v = 139 + -146. Let r(q) = 5*q + 0*q - q + 8 - 9. Calculate v*r(u) - 6*c(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -416 + 785. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 divided by -1?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318274 by 11.\nAnswer: 28934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 258 in -38, -3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 21. Sort -3, -1, i in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -243 + 207. Suppose 17*r = 8*r + k. Solve -r*m + m - 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 5}. What is prob of sequence aabb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 452721 and 11517?\nAnswer: 1737995919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**2 + 4782*p + 1830741 = 0.\nAnswer: -319, 1913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l - 4*c = -2, c = 4*l - 13. Let s = -6 - -6. What is the nearest to -0.1 in l, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5499 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -16111*v**2 + 2*v + 8. Let g be a(-6). Round g to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476469?\nAnswer: 1476469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.805 in 5\/4, 4, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 58 = 12*o + 138 + 77 - 43, -38 = -3*u - 32 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576042165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(8\/(-172)) - 261\/(-174)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41\/74 - 2\/37. Let g = -1.64 - -1.8. Let n = g - 0.16. Which is the nearest to -2? (a) n (b) 2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 4*w + 12. Suppose 0 = w*u - 6 - 138. Calculate the lowest common multiple of u and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -26. Let i(h) = h - 2. Suppose 0 + 4 = j. Let y be i(j). Solve 2*o + y*x = -8, -2*o + z*x + 27 = -x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.59 + -12.29. Sort p, 6, -2\/5, 0.01 in ascending order.\nAnswer: -2\/5, 0.01, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16834*r + 2*r**3 + 16837*r - r**3 to the form a*r**3 + q*r**2 + k + o*r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t*u**2 + 3480*t*u - 1217*t - 26093*u**2 + 204*u wrt t?\nAnswer: -2*u**2 + 3480*u - 1217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:39 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let i(p) be the second derivative of p**5\/60 + p**3\/6 + 4*p. Let l(n) be the second derivative of i(n). Calculate l(t(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + 0*z)*(-3 + 2 - 1) - 6*z + z + 4*z + z + z - z + 7*z - 4*z + 0*z + (-2 + 2 + z)*(2 + 1 - 2) - 3*z - 3*z + 0*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 4*t + 4. Let j be h(-4). Solve -j*g - 2*a = -4 + 20, 3*g + 5*a + 26 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaauuauuaauau. Give prob of sequence aaa.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 2*i)*(3*i**4 - 4*i**4 - i**4) + (-i**4 - 16*i**4 - 7*i**4)*(-5*i + 12*i - 14*i).\nAnswer: 166*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 23.01, -5\/6, -2\/9, -166, 3\/8 in decreasing order.\nAnswer: 23.01, 3\/8, -2\/9, -5\/6, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 2372*r**2 + 4752*r = 0. What is r?\nAnswer: -2, 0, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by 33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 - -214. Suppose -3*s - 5*u + 2805 = 0, r*s - 1870 = 2*s + u. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120197 and 892.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21274, -31075, -40876, -50677, -60478, -70279?\nAnswer: -80080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/164 + 37\/820. Let i(x) be the second derivative of 0*x**2 + 0 + h*x**5 + 0*x**4 + 1\/6*x**3 + 2*x. Find the second derivative of i(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/63*9*2\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -5*i**3\/6 - i**2 + 2*i. Let o be u(-4). Suppose -3*y + o = -3. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9763870.\nAnswer: 2, 5, 193, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.9. Let j = -0.536 + b. Let k = j - -0.063. What is k rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2494?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/13)*q)\/q*q)\/q**(-1\/8))**(-9\/2)*((q*q*q**6)\/q)\/q**0*(q\/((q*q*q**(-2\/5)\/q)\/q))**(3\/8) assuming q is positive.\nAnswer: q**(-2839\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789005?\nAnswer: 5, 557801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d13 (base 15) in base 14?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 7*p - 12. Let t be j(-8). Let c = t + 57. Let i = 73 + c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671948 to the power of 1\/2, to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 2, -4\/131, 5, -0.065 in increasing order.\nAnswer: -1\/6, -0.065, -4\/131, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j. Suppose 4*f + 5*w - 12 = j, 3*f - w - w = 9. Suppose 5 = i + 5*h + 2, -3*h + 12 = 4*i. Solve -o - 21 = 2*o + i*z, f*o = 4*z - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -415320253?\nAnswer: 415320255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/299? (a) -1\/5 (b) -4 (c) 0.127 (d) -2\/3 (e) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + (-9)\/4*8\/(-6). Suppose -41 - 19 = w*y. Let s(o) = o**3 - 5*o**2 + 4*o - 4. Let n be s(4). Put y, n, 1, 3 in ascending order.\nAnswer: y, n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 22463*z + 1 + 22462*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117 + 117 - 189*o**2)*(0*o - 4*o + 2*o) - 16*o**3 + 18*o**3 + 7*o**3.\nAnswer: 387*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 15829311.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {h: 1, j: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 13*f**2 + 12*f - 5. Let j be z(12). Suppose -5*w + 22 = -13. Let g = w + j. Calculate the remainder when 3 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m - 22. List the prime factors of z(7).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + (-5 - -11) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 141923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x. Let d(f) = -4*f**2 + 3*f. Let n(r) = -r**2 + r. Let m = 46 + -26. Let j = m - 19. Let l(w) = j*d(w) - 3*n(w). Calculate g(l(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/35746 and 69\/586.\nAnswer: 35746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:31 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 0 - 2 + 0*s**2 - 7*s. Let z(g) = -g + 2. Let v be z(7). What is the remainder when 29 is divided by o(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.13 (b) 4 (c) 1\/6 (d) 2\/11 (e) -1\/9 (f) -1\/2 (g) 1898\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tuuitcdgg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/65 - 24\/65. Which is the fourth smallest value? (a) 2\/11 (b) 3\/4 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -9 + 1 + 0 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 - 2303\/10. Let x = 471\/10 + -47. Let k = z + x. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224850.\nAnswer: 2, 3, 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3982 is divided by 3982.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 7*b + 4. Let s be k(7). Let h(o) = 4*o + s*o - 4*o. Let u(f) = -2*f. Determine h(u(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*a - 4 = 10, 3*x + 2*a - 17 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5010*x - 6904. Is a(-8) a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (sqrt(119)*-1*-1 + (sqrt(119)*1*-5 - sqrt(119)))\/(sqrt(14)\/(2*sqrt(50))).\nAnswer: -50*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*v + 3*j, -3*j = -2*v + 7. Suppose v*n - 290 = 46. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42512215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40116.69 weeks to nanoseconds.\nAnswer: 24262574112000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**2 - 11*r - 8999. Let z(f) = 4*f**2. Determine t(z(a)).\nAnswer: -144*a**4 - 44*a**2 - 8999","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55269, -55094, -54621, -53700, -52181, -49914?\n\"Answer: 25*h**3 - h**2 + 3*h - 55296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = -3*f - 7, -m = -5*f - 17. Suppose -4572 = -4*v - j, 0 = -4*v - 6*j + 3*j + 4580. Is (v\/m)\/((-11)\/44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -4501?\nAnswer: -4503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 569*f*p + 2*p - 238 with respect to f.\nAnswer: 569*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 1. Let f(s) = 676*s + 2027. Let i be f(-3). Let q(y) = 6*y**3 - 2. Calculate i*g(t) + q(t).\nAnswer: 7*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 299.6 + -298.6. Let n = -35 - -11. Let o be (-2)\/3 - n\/9. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -107*n**5\/60 - 349*n**2. Let y(q) = 4*q. Calculate m(y(a)).\nAnswer: -1712*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -10*m - 3. Let b(k) = -6*k**3 - k**2. Let x be b(m). Suppose -150 = -x*v - 5*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 22*j - 35. Let r be b(20). Suppose -2*v = -2*q + 18, -v - 2 = 3*q - 9. Suppose 13 = 2*p - p - r*u, 3*u = q*p - 137. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -41*w**4 - 15*w**3 + 2*w**2 + 114. Let r(o) = -21*o**4 - 8*o**3 + o**2 + 57. Let p(c) = -11*r(c) + 6*x(c). Find the third derivative of p(s) wrt s.\nAnswer: -360*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2920 (base 13) in base 11?\nAnswer: -4511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951389 is divided by 501.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/56)\/(7\/(-49))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74787 divided by 771.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/((-27)\/(-540)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*g + 11 = -19, 111 = 35*b - 58*b - 2*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/12*(-3)\/(-1031). Let a = 44301\/16496 - k. Find the common denominator of 63\/10 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3268?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*i + 44, -i + 3*a = 8*a. Let t(j) = j**3 - 11*j**2 - 15*j + 4. Let u be t(12). Let s = u + 54. What is the least common multiple of s and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 14610513?\nAnswer: -14610460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.087 - 0.913. Suppose 0 = 4*h - 231 + 71. Which is greater: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/10 + (-3 - 119\/(-35)). Let u(v) = v**2 + 5*v - 5. Let c be u(-5). What is the second smallest value in c, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)*2 - sqrt(10))\/sqrt(2) + (sqrt(5) - (sqrt(5) + 1 + sqrt(245))) + (sqrt(55) - sqrt(220))\/sqrt(11))**2.\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29659.17l in millilitres?\nAnswer: 29659170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.88 minus -219.739052?\nAnswer: 228.619052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*n + 30, -5*n - 2*c + 30 = -0*c. Suppose -n*q + q + 120 = 0. Suppose q*o - 165 = 21*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = -5*f, 0 = -5*f + 3*m - 4*m + 15. Suppose -4 = p - f*p. Factor h**2 - 2*h**p + 1 + 2*h**2 + 2*h.\nAnswer: (h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n - 9*n + 45*n + 1.\nAnswer: 88*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iffw when four letters picked without replacement from {i: 4, f: 10, w: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 128 = -4*w, 4*w - 3*v + 122 + 27 = 0. Let x(y) = -y**2 - 43*y + 55. Is x(w) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-1250)\/375)\/((-4)\/30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22002120 (base 3) in base 14?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f = -5*x + 6225, 0 = -4*x - 5*f + 4993. Suppose 4*c + n = 7*c - x, 0 = -3*c + 5*n + 1242. List the prime factors of c.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1050, 1050, 1052, 1056?\n\"Answer: y**2 - 3*y + 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16 = -4*r. Suppose o = 2*o + r*t - 8, -3*o = 5*t - 17. Let y = 2 + 6. Solve q = -h - y, o*h + 11 = 3*q - 0*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 6*x + 4. Let m be y(3). Suppose -j = m*j + 790. Let g = j + 787\/5. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 175 = -169. Suppose -3*h + 8 - 13 = -g, g + 7 = -3*h. Sort 0, s, 4, h.\nAnswer: h, 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 - k + 1. Let g(w) = 12*w**3 + 10*w**2 + 10*w - 10. Determine -10*a(z) - g(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*(u*(u**(-14)*u*u)\/u)\/u*u))**(-2\/15) assuming u is positive.\nAnswer: u**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -282*m - 240. What is the thousands digit of i(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let r = -822 + 825. Let g be (-50)\/88 - 12\/(-16). Which is the closest to r? (a) -1 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1226*y**3 - 14 + 2458*y**3 + 14 - 1233*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -1681*g + 1680*g + 6, 3*g - 4*r = 53 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 19, v: 1}. What is prob of picking 4 l?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579 - -609. Let j(h) = 0 - h**2 + 1 + 28*h - r*h. Let a(s) = s. Calculate 4*a(o) + 2*j(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)\/(w*(w\/w**(-1\/5))\/w)*((w\/(w*w\/w**(-10)*w*w*w*w*w))\/w)\/(w*w*w*w\/w**4))**(-49) assuming w is positive.\nAnswer: w**(7399\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5579 - 5574. Solve 0 = x + 7*q - d*q + 1, 3*q = 5*x + 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 4*y + 3*y)*(-2 - 1 + 0)*(-y + 4*y + 0*y)*(3 - 1 + 0) to the form n*y**2 + f*y + o and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -306814 (base 9) to base 3\nAnswer: -100020220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26359786*t**3*v**3 - t**3*v + 59244095*t**3 wrt v?\nAnswer: 79079358*t**3*v**2 - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57797884351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2. Let q(j) = j - 52. What is x(q(l))?\nAnswer: 3*l**2 - 312*l + 8112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 4*v - 52 = -18, 2*p + 2*v - 8 = 0. What is the fourth biggest value in p, -7\/5, 0.5, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1664*j - 21639. What is s(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54012.78 millimeters to meters.\nAnswer: 54.01278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scccscgggccgcgsc. What is prob of sequence sgcg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12391192973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/(-25))\/(-2)*140\/42\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 171213*r + 4622747. Calculate i(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2390455735*t**2 - 2390455767*t**2 + 4780911501*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 400628 or 4406900\/11?\nAnswer: 400628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 3, o: 1, u: 4, t: 2, y: 1}. What is prob of sequence txo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2531 divided by 168\nAnswer: 2531\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 - ((-27 - (30 + -48)) + (4 - -1)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 7, m: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 14*c**2 - 70*c + 39. Give d(-10).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3974, -4025, -4076, -4127?\nAnswer: -4178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3768 and 56922705.\nAnswer: 455381640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*v = -4160 - 2345, 5*v = -4*i + 12999. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 11961*c**2 - 3*c + 11961.\nAnswer: 3*(c - 3987)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 499 + -500. Which is the fourth biggest value? (a) 5 (b) n (c) -0.24 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 + 12*i**2\/11 + 16*i\/11.\nAnswer: 2*i*(i + 2)*(i + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/7, 0, -1576 in descending order.\nAnswer: 0, -3\/7, -5, -1576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.047 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 42 - 33 = 12*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -142*j + 432. Let o(f) = -56*f + 173. What is 18*o(b) - 7*w(b)?\nAnswer: -14*b + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjgggggggiggggiij. Give prob of sequence ig.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8062501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493353.\nAnswer: 3, 7, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let q = 15 + -15. Let l be j(q). What is the derivative of l*x**3 - 9 + 5*x**3 + 2*x**3 wrt x?\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -113*n**2. Let b(l) = l**2. What is b(p(u))?\nAnswer: 12769*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 3. Suppose c = 1 + v. Suppose 0 = 2*a - 2 - c. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*4\/(-6)*17. Suppose 3*y = y + o. Suppose 3*q - 16 = y. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753.8986cm to millimeters.\nAnswer: 7538.986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - 101\/12 - -1 and 101\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3219.961 kilograms?\nAnswer: 3219961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let h be u(5). Let d be -2 - -3 - (261\/27 + -9). Let x = -147 - -1031\/7. What is the closest to d in h, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -255.98 to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4065 = 3*q, 4*q + 33*x = 4*x - 5189. Do q and -1335 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1771*o**2 - 2*o + 5*o - 862*o**2 - 908*o**2 - 3*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 502*a**7\/21 - 3*a**4\/4 + 39*a**2\/2 + 45*a + 14. Find the third derivative of v(c) wrt c.\nAnswer: 60240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*g + 419 = -2*w, -2*g - 314 = -3*w. Suppose -l - 27 + w = 0. What is the remainder when l is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - -2) - (-17 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n + 1 = 0. Is n less than or equal to 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2320 and 111\/160.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/41016 and -5\/232424.\nAnswer: 697272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -1 + 6*(2 + sqrt(180))).\nAnswer: 36 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2 (c) -0.30323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -300.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-5 - (-80)\/15). Suppose -2*x - 6 = z, -4*x - 219 = -i - 2*i. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 691672 divided by -172918.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (6 + 2) - ((-2 - -8) + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2681 and 75834?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p - 3*p)*(2 - p - 2) + 2*p**2 + 0 + 0 + p - p**2 - p + (1 - 2 + 5 + 7*p)*(-6 + 6 + 273*p - 119*p).\nAnswer: 1081*p**2 + 616*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from tnnoiuu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 166\/581*1855\/(-10)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m)**(1\/3) assuming m is positive.\nAnswer: m**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 152 - 3441?\nAnswer: -3256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978080219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 6*f + 2. Let l be n(9). Does 10 divide -12*l\/(-15)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -744 - -743.8. Which is the nearest to 0.1? (a) x (b) -1 (c) -6\/11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7*a = -38, 2*a - 45 = 2*j - 43 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25745703*b**4 + 33038338.\nAnswer: 102982812*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o + 15 = 18*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 5*r + 3 = 30*n, 3*n + 3*r = 81. Let x(o) = -o**2 + 28*o - 53. Give x(n).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6314014*h + 12628218*h - 6314195*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b3 (base 13) in base 15?\nAnswer: 2d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -38.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:06 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2597044672 - 2895704334969\/1115. Let a = 2127\/5 - c. What is the nearest to 0 in -5, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18513 >= -330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p - 6 = 53*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + t - 9, -226*p + 221*p = 5*t - 30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-39)\/b*b**(7\/10))**(-2\/181) assuming b is positive.\nAnswer: b**(393\/905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -5, 1601, -3 in decreasing order.\nAnswer: 1601, 86, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 436.24 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -88. Suppose 0 = 3*n + u*a - 27, 1 = 4*n - 3*a - 0. Calculate the remainder when 37 - ((-80)\/(-32) - (-2)\/n) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 376. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89820, 179653, 269502, 359367, 449248?\nAnswer: 539145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26605 and 4718475?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*l - 5 = -0*l, 5*i - 5*l = 25. Suppose i*x - 76 = a, -a + 4 = -x + 4*a. What is the tens digit of ((-312)\/x)\/(9\/(-48))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222\/2465 - -4\/145. Which is the nearest to m? (a) -1 (b) -2\/13 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 25*h + 6*h - 46 - 2 - 207*h**2 - 28*h + 227*h**2. What is the least common multiple of x(-22) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227*r**3 + 224*r**3 + 7 + 8*r - 8 to the form f*r + x*r**3 + i*r**2 + h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.355759 times -1.24\nAnswer: 0.44114116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**5\/120 + 31*k**4\/24 + 32*k**3\/3 - 841*k**2 + 2. Factor l(z).\nAnswer: -(z - 64)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yooooaya. Give prob of sequence oyo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 16*u + 80, -4*c = 5*u + c - c + 91 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -1\/60*z**5 - z**2 + 0*z + 5\/6*z**3 - 1\/6*z**4 + 0. Let a be v(-5). Solve -3*r - 6 = -2*u - r, -r - 5 = a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425824839.\nAnswer: 3, 11, 4301261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675808451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/235 and -57\/8?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903995345?\nAnswer: 5, 11, 59, 278581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 642421269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103991 or -103992?\nAnswer: -103992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6. Which is smaller: s or 2\/45?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3*g - 3*g)*(-5*g + 4 - 4) + (-1 + g - 6*g + 4*g)*(-3*g + 0*g - 8*g).\nAnswer: -4*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0191 + 391.9809. Let w = -166 + q. Let m = 225.99999694 - w. What is m rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4580 and -71\/45.\nAnswer: 41220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-24)\/32). Let r be 5\/3*(19 + -1). Suppose -3*j = z*j - r. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*24312.7\nAnswer: 21881.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 706 (c) -61\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 3*v, u + 4*u = -4*v - 8. Let w = -7.6 + 7. Let g = -3.4 + w. What is the biggest value in g, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-2) + 0 + -12. Let a be 6\/3 - (-4 - 1)\/m. Let n be (-4)\/7*2\/(-4). Are n and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 - (-1224788)\/24 - ((-28)\/24 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00439740908 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3679110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103.9 + -103.9653. Let z = r + -0.3057. Let a = 0.23 + z. What is a rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 349 and 175547?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**4\/6 - 6*z. Let m(y) = -3*y. Calculate d(m(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (3 - (-8 + 16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 8315230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -11. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 9*z**2 + 10*z - 11. Let a be w(8). Solve -2*l + 1 = -a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 1. Let r(p) = 2*p + 8. Let h(q) = 3*b(q) - r(q). Give h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5 - 72*m**4 - 234*m**3 + 156*m**2 + 693*m - 540 = 0. What is m?\nAnswer: -20, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:22 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*m + 3921134 + 117*m - 3921134.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.1 + 26. Let m = 1.88 + 0.12. Let j = -61\/42 - -7\/6. What is the closest to j in m, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, g: 10, n: 4, a: 2}. Give prob of picking 1 g and 1 a.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 11 - 7. Let h = -29 - -15. Let a = s + h. Let v(u) = -u**2 - 9*u - 4. What is v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181362411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**2*v**2*x + f**2*v**2 - 2*f**2*x**2 - 1453*v**2*x**2 + 44658*v*x**2 + 2*v*x wrt v.\nAnswer: 16*f**2*x + 2*f**2 - 2906*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 519153*f**3 + 190246?\nAnswer: 1557459*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.729999244 + 4.73. Round x to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -7dda?\nAnswer: 7ddf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*y**2 - 8*y - 5 + 9*y + 111*y**2 - y**3 + 5 in the form j + x*y + q*y**2 + z*y**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577 = -2*k + 573 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001001 (base 2) in base 16?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 s, and 1 t when four letters picked without replacement from xdsxsxddtxs.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j - j)*(2*j**4 - 2*j**4 - j**4) + 0*j**5 - 3*j**5 + j**5 - j**5 + 2 + 3*j**5 - 3.\nAnswer: -2*j**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/36*(-4)\/(-10)*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40269619 and 5252559.\nAnswer: 120808857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 7*v**2 + v - 5. Let k be p(7). Let h(c) = 3*c - k*c**2 + 3*c + 4*c**2 - 5. Let l be h(-5). What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1. Let v(g) = -3*g - 2. Let d(y) = 2*n(y) - v(y). Let k(a) = -6*a + 5*a - a. Calculate k(d(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7 - 13. Let d(t) = 120*t**3 + 35*t**2 + 35*t. Let m(k) = 7*k**3 + 2*k**2 + 2*k. Calculate x*d(j) + 35*m(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -109. Let n be 1\/(-3 + 231\/78). Let b = n + x. Solve 6 + b = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204 (base 6) to base 15\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -23. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 108*f - 108*f - 6*f**2 - 5*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 - -3973\/15. Let j = -7 - 0. What is the third biggest value in x, j, 4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -11426?\nAnswer: 11427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.238 times -0.5?\nAnswer: -16.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631938.8 decades in millennia?\nAnswer: 6319.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(417\/(-8896))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (-10 - 1) + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**2 - 6*z - 31 - 14 + 8*z - 18*z**2 + 45.\nAnswer: 9*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.1 (c) -0.1 (d) 2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3 - 9) + 7 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-38)*32\/(-40)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**2*z**3 + 12*b**2*z**2 - 41*b**2*z - 2*b*z**3 + 497686*z**3 + z**2 - 25 wrt z.\nAnswer: -54*b**2 - 12*b + 2986116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78192 + 78192 + 2*q + 1456*q**2)*(3 - 3 - 1).\nAnswer: -1456*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179912, -179983, -180054, -180125, -180196, -180267?\nAnswer: -180338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4.9. What is the second biggest value in q, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 4*a**2 + 84*a - 360. Calculate n(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 28*q - 1. Let r be l(-3). Let y = -28 - r. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -2983 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 173388.114 seconds?\nAnswer: 2.006806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3*t**4 - 874*f**3 - 17*f**2*t**4 wrt t.\nAnswer: -12*f**3*t**3 - 68*f**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8433 + -8369. What is the remainder when v is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1626, 3535, 5456, 7401, 9382, 11411?\nAnswer: 13500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -76. Suppose y + 2 = -d*y + 3*h, h = 2. Suppose 5*r + 18242 = 2*t, -2772 - 862 = r - y*t. What is r rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 312. Let l(t) = 4*t - 676. Let h(n) = -6*l(n) + 13*u(n). Let x(m) = 3*m + 175. Give x(h(b)).\nAnswer: 6*b + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.058 + 0.092. Let h = 4.3 + -4.57. Let z = h - n. Round z to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.1, 0.4, 3\/8.\nAnswer: 0.1, 3\/8, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1371*0.0284\nAnswer: -38.9364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6571.36 - 6439. Let o = 131 - w. What is o rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321161 by -6.\nAnswer: 321161\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4837 + 4848. Suppose -5*w = -2*w - 90. Suppose -2*l - 8 = -w. Solve -4*c + t = q - 13, -4*q + l = -c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, e: 3, l: 5, g: 4, i: 3}. What is prob of sequence gi?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*u + 366*u + 17*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*g)*(-g - 2*g**2 + g)*(4*g + 3*g**2 - 4*g).\nAnswer: -18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5573 - -1.0454. Round p to 2 decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + 32. Let u = s + -119.1. Which is the closest to -0.1? (a) u (b) -1\/3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 23*t + 32. What are the prime factors of p(-16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 + 4*h**2 - 7. Let t = -167 + 172. What is the tens digit of q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:59 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.86 - -30.96. Let q = -27.1 + m. What is the closest to -0.9 in q, 2\/17, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - j + 31, -39 - 22 = -5*n + 3*j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 747 divide 1819429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 3*f + 4. Let u be (-2 - -3)\/(3\/15). Let d be r(u). Let m be (d\/(-9))\/(1\/3). Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - -41 - 70 - (1 + -12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)\/(15 - 17). Suppose 3*k + j - 72 = 0. What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m + 7. Suppose -o = -2*o - 2. Let t be ((-2)\/o)\/((-3)\/(-15)). Let x(n) = 13 + 4*n + 9*n - 7 - 7*n. Determine t*p(g) - 6*x(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -356 + 356. Let w = -0.42 + 0.6. Let h = w + -3.18. What is the nearest to h in d, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2556, 2555, 2554?\n\"Answer: -y + 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -47, 4, 136, 0, -1\/11, 5\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - p**2 - 13*p + 138. Let q(i) = -14*i**3 - 3*i**2 - 40*i + 415. Let d(t) = 11*m(t) - 4*q(t). Is d(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and 119\/20490?\nAnswer: 20490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -45. Suppose 4*v + 4*u + 1 = 3*u, -4*u = z*v - 7. Let h be (7 + -7)*v\/(-3). Solve -l + 4 = h, 2*l = -4*c - 3*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85 times 9166430?\nAnswer: -7791465.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b + 76 = 0. Let p = -18 + b. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**2\/2 + 3*o + 27. Let r be u(1). Solve 0 = 3*a - 4*g, 0 = -4*a - r*g - 3*g - 31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25.93, 809, -0.1?\nAnswer: -25.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -368287, -736306, -1104325?\n\"Answer: -368019*k - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/3 + 388\/6 is divided by (-21930)\/1462 + ((-434)\/(-6) - (-2)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**3\/3 + 10*q**2 + 9*q - 135. What is the lowest common multiple of l(9) and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(3*o + 4 - 2 + 0*o)*(-3455*o**2 + 3455*o**2 - 8 - 2*o**3).\nAnswer: -12*o**4 - 8*o**3 - 48*o - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6145 by -5.\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.5, 0, 1134, 14, 2 in increasing order.\nAnswer: -0.5, 0, 2, 14, 18, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -15*y**2 - 292*y + 6231. Determine d(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -324025 (b) 54 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -123 + 122 + 22*v**3 + 2*v + 3*v**2 - 2*v**2 + 6*v**4 - 5*v**3 - 3*v**4 in the form h + j*v**2 + l*v**4 + k*v + u*v**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (4\/(-24)*0)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 11) to base 9.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76\/(-722) - (-17)\/(-19). Let w(p) = 3*p**2 + p. Let d(f) = -67*f**2 - 6*f + 65. Let r(g) = y*d(g) - 6*w(g). Differentiate r(m) with respect to m.\nAnswer: 98*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(3059\/140 + -21)*(-5)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*51.5165.\nAnswer: -18.54594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 6:26 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 38, -3470, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6590*v**2 + 21. Let m(b) = -850108*b**2 + 2716. Calculate -3*m(a) + 388*s(a).\nAnswer: -6596*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 925002*i**2 - 11*i - 6. Let r be l(6). Round r to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(2\/33)*l**(-14)*l assuming l is positive.\nAnswer: l**(-398\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449898345?\nAnswer: 5, 467, 673, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11271 + 11267. Put z, -64, -1, 2 in decreasing order.\nAnswer: 2, -1, z, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*w - 5467 = -56416. List the prime factors of w.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 - t + 9. Let w be x(7). Let o(h) = -4*h**3 - 5*h + 6*h**3 + h**2 - 1 - 2*h**w. Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1389 - -5919. What are the prime factors of z?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46442, 371606, 1254204, 2972954, 5806574, 10033782?\n\"Answer: 46453*m**3 - m**2 - 4*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13845 is divided by 160.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/7)\/w)**(-49)*(w**3)**(-23\/2) assuming w is positive.\nAnswer: w**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-85)\/3)*375. Let g = -66 + d. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -950*a**2 + 1229*a wrt a?\nAnswer: -1900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 56 = -4*q, 2*l + q = -23 + 37 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4) + (-15)\/10. Is t at most as big as 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -364416.4 to the nearest one hundred.\nAnswer: -364400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8454138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/11 - 1190*m\/11 + 3552\/11 = 0.\nAnswer: 3, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 1072. Let m(b) = 10*b - 3218. Determine 2*m(r) - 7*p(r).\nAnswer: -r + 1068","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 9*p**2 - 93*p - 114. What is k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - w**2 - 3)*((-6 + 3 + 1)*(3 + 3 - 4) - 2 + 0 + 0 + 3 - 2 - 2 - 7647 + 16651 + 18737).\nAnswer: -27734*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4258 + 3.470166. Let a = x - 39.038266. Let k = a - -39. Round k to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -400 - -163. Let f = l + 236.999485. What is f rounded to five decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 + 9*r + 8. Let i(f) = 12*f**3 + 17*f + 14. What is -4*i(u) + 7*w(u)?\nAnswer: u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {o: 1, c: 5, s: 1, f: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let v(h) be the second derivative of h**7\/1260 - h**4\/12 - 2*h. Let t(g) be the third derivative of v(g). Determine u(t(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2511 + -2475. Solve 9*q - z = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/96 and -79\/928.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -10746.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - -66 - 65) + -130.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y, 0 = -7*w + 10*w - 5*y - 170311. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8624 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - z = 2, -8*f + 11*f - 4*z + 14 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 + 33*n + 235. Determine q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and -4226186790251.\nAnswer: -4226186790225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1064, 2007, 2954, 3905, 4860, 5819?\nAnswer: 6782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -633 divided by 1?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-12))\/(2\/(-30)). Suppose 0 = -i*g - 2 + 12. Let h(f) = -4*f**2 + 3*f**2 - f**g. Let q(z) = 2*z**2. Determine h(q(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 65. Is 1\/5 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1656*p**2 + 6315389*p + 2*p**3 - 6315389*p + (2*p**2 + 2*p**2 - 2*p**2)*(-2*p + 0 + 0).\nAnswer: -2*p**3 - 1656*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + 118\/(-3). Let y = 41 + u. Let g(o) = 17*o**3 + o**2 - 5*o + 4. Calculate the remainder when 50 is divided by g(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -26. Suppose -2*l = -o*l - 2. Which is smaller: l or -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 150\/11, -0.2, 303\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -3, 111, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -8)\/(-2 + -1). Let d = 1262\/7 - 180. Which is the smallest value? (a) u (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 999*r**3 + 13*r**2 + 99*r - 18. Is b(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 18. Suppose -5*z = -i, -4*i + 20 = -2*z + 2. What is the remainder when i is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 38*d - 243. Give t(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318549.\nAnswer: 1318549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/2 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + (-126858)\/120. Let s = -1069 - g. Find the common denominator of s and 55\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-10) + (-13 - 726\/(-55))*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*w - 35, -3*w = 5*l - 17 - 15. Let q be 3032\/w + 2\/(-6). Let n = q - 338. Find the common denominator of n and -77\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 7*a**2 + 9*a - 28. What are the prime factors of f(-8)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -6 + 13 + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-2)\/q*q)*q))**(-7\/5))**23*((q\/q**0)**(-46))**(-37) assuming q is positive.\nAnswer: q**(8832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/24*-212*(-42)\/98*42\/18.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k. Suppose -3*n - 4 = -n. Let a(p) be the second derivative of 7*p**3\/2 - p. What is n*a(i) - 11*r(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -89*r**4\/24 - r**3\/2 + 237*r**2 + 6. Let d(c) = -3*c. Calculate y(d(h)).\nAnswer: 267*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.52 - -4.26. Let q = y - -0.26. Let r = 1 + q. Which is the third biggest value? (a) 2\/3 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 7*n**2 + 8*n + 13. Let b be l(-6). Sort 4, b, 13 in descending order.\nAnswer: 13, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -21*r + 5*y + 53, 0 = 3*r - 21*y + 23*y + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 0.01?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 69*o + 621. Let i be a(0). Calculate the greatest common factor of i and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 5\/2, -2\/19.\nAnswer: -11, -2\/19, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -14506)\/((-2)\/4). What is q rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1805*i**2 + 1154709990*i - 184675230056205 = 0. What is i?\nAnswer: 6077421\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*h - 3*i - i, 4*h = -2*i + 4. Suppose -5*a + 14 + 21 = h. Let j(n) = n**2 - 8*n + 10. Let x be j(a). Solve w - x*w = -8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiuiiiui. What is prob of sequence uiu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b - 2. Let p be l(-3). Suppose -5*c + 0*c = -p. Let n(j) = -j**3 + 6*j**2 - 2*j - 12. Let m be n(c). Let t(d) = d**2 - d + 4. Give t(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -3 (b) -3\/7 (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-75)*5 - (-38)\/(-21). Let i = -155\/88 + 2251\/616. Let n = i + j. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299.1757*2.\nAnswer: 598.3514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9946 - 7642 + 1931 = -2316*c + 35295 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 50*l**2 - 572*l - 1352.\nAnswer: -(l - 26)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19609 - 19597 + 58812 - 7*a - 19606.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*l**4 - 15*l**4 - 14*l**3 - 231*l + 16*l**3 - 15*l**4 to the form z*l**4 + x + q*l + u*l**3 + j*l**2 and give q.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 3609*d - 303834.\nAnswer: 3*(d - 1282)*(d + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1541608 + -9.3458002. Let w = -12.531 + 3.031. Let y = w - l. What is y rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43707478?\nAnswer: 2, 1103, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36631539983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*h - 33*h - 1980. Suppose -4*v + v - 2*j + 270 = 0, -82 = -v + 2*j. What is the highest common divisor of h and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/25)*t*t\/(t\/t**3)*t*(t\/(t*t**(-2\/5)))\/(t*t**2\/t))\/((t\/t**(2\/3))**(-6\/7))**(-19\/2) assuming t is positive.\nAnswer: t**(134\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286296?\nAnswer: 2, 3, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19014 - -57044\/3. What is the closest to 2 in -13, s, 0, -1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/16 + 9075\/330.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -510\/19 - -1568\/57. Suppose 0*q + 28 = q - 5*s, -44 = -4*q + 3*s. Which is the second smallest value? (a) v (b) -1 (c) -3\/2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(6) + 4*sqrt(24)))\/((-6*-1*sqrt(24) - sqrt(24))\/sqrt(12)).\nAnswer: sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 23 - 89 + 38 + 30 - 22*r**2 to b*r**2 + y*r + s and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -c - 5. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -69. Let l be 2*(-6)\/j*30\/(-8). Suppose 0*d = l*d + 3*d. Solve 0 = -d*q - 2*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1567 - 1568.27. Is g greater than -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392 divided by -8?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -96.2757.\nAnswer: -95.8757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(12\/(-78) + (-386)\/26). What is the third smallest value in c, -0.3, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -12 - 3*j + 11\/2*j**2. What is the remainder when 23 is divided by s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let g(z) = 203229*z**2. Determine g(j(u)).\nAnswer: 812916*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 912610 to the nearest 1000.\nAnswer: 913000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((160\/4)\/(-2))\/(27 + -31). Solve -5*f = -v, 11*r - 14*r - 3*f - 9 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38415778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -156*u + 170*u + 13 + 2*u**2 - 2 + 13.\nAnswer: 2*(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -6368\/6717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 4103?\nAnswer: 4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*j - 8, 2*q + 22 = -j + 27. Suppose -j*s + 387 = -5*k, 11*s + 4*k = 16*s - 645. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 30.75858 weeks?\nAnswer: 18602789184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by -1 + (-5 - -3) + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/8586 and 59\/380448?\nAnswer: 181473696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7228*p**4 - 303*p**2 - 13 wrt p?\nAnswer: 173472*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 91*l**2 + 977. Let c(n) = -2*n**3 - 92*n**2 - 985. Let o(k) = 2*c(k) + 3*x(k). Differentiate o(t) with respect to t.\nAnswer: 6*t**2 + 178*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 368\/40 - -17 - 26.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and (-4 - (-154)\/35) + ((-13240)\/(-25) - 2)?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/4 + x**2\/2 + 1974. Let u(n) = 80*n**3 - 120*n. What is 120*b(q) + u(q)?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:41 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 6*x**2 - 6*x - 6. Let m be l(-5). Let k = 13.68 + -14.08. Which is the smallest value? (a) m (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 334440 and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 0 + 8\/(-44)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4195790 is divided by 599397.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -4?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = 3*d. Let n(y) = -3*y + 1. Let q = -6 - -8. Let k(i) = -2*i**q + 0 + 3*i**2 + 2 - 4*i. What is d*n(j) - 2*k(j)?\nAnswer: -2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -6\/11*t**2 - 2\/33*t**3 - 10\/11*t + 69. Suppose y(k) = 0. What is k?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - b = 3*s - 58, 0 = 5*s + 3*b - 284. Suppose 59*r = s*r + 40. Let m be (-12)\/(-7) + (-2)\/(-7). Solve -m*d - r = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f. Let b(a) = -152*a. Determine y(b(s)).\nAnswer: 608*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 12*w**5 - 6*w**5 + (0*w**3 - 2*w**3 + 4*w**3)*(6*w**2 - 2*w**2 + 2*w**2) - 176*w**3 + 190*w**3 - 2*w**5 + 3*w**5 + 5*w.\nAnswer: 18*w**5 + 14*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 975803 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3658 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3319*f + 6632*f - 3319*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -103 + -59?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5538 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322358374 divided by -953723?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/36 and (234\/48 + -2)\/(45\/(-42)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.36 (b) -1 (c) 1\/8 (d) 1 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6 and -79\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 752*g**3 - 33*g**2 + 12*g + 47. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 - 860\/144. Let s = i + 123\/20. Suppose f = m - 2, m + 4*m - 5 = 0. Is s <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, k: 1, n: 1, v: 1, o: 1}. What is prob of sequence kkck?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/11 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10281 is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33129*g = 33131*g - 154 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -23041875.\nAnswer: -4\/23041875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 n when three letters picked without replacement from {c: 5, b: 4, n: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbqqqqqqqqqqqqqbqqq. Give prob of picking 2 q.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -5*i + 230, -346*t + 4*i = -349*t - 131 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, k: 4}. Give prob of picking 2 k.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1007 = m, -2*m - 703 - 1316 = 5*t. What are the prime factors of (m\/110)\/(2\/(-215)) + 5?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -15. Is 30 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 35. Let x be n(10). Solve 0 = 2*c - 5 - x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(28)\/sqrt(4)*2)**2 + sqrt(7).\nAnswer: sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p - 2745 = -52*p. Let q = p - -187. Solve m = -2*s + 11, q*s - 26 + 1 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f - 1. Give q(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7915303657?\nAnswer: 7915303657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:13 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:30 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2*3\/24. Put -1, s, 5 in ascending order.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*a + 0 + 2*a + (3 - 6 + 1)*(-315 - 3*a + 315) in the form p + f*a and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkj when three letters picked without replacement from kkjkkkjjkjjkkkkkkkj?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.187162738 and -24.6?\nAnswer: 24.412837262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 39420 = 22*x. Let o = 3563 + x. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25290*l**4 + 547*l**3 - 81792483 wrt l.\nAnswer: -101160*l**3 + 1641*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 485 = -m + 2*p, -p = -m - 476. What is the units digit of (-798)\/(-33) - (-86)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, and 1 s when three letters picked without replacement from isydsdppisiipyi?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4979 + 6*k + 4979.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3 - (-2 + 0)). Suppose -n - 4 + 16 = u. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from {a: 6, m: 5, z: 2, n: 1, l: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:06 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 4. Let t(d) = -d**3 - d - 2. Let c(h) = 4*h**3 + h - 2. Let w(p) = 7*p**3 + 2*p - 3. Let n(r) = -5*c(r) + 3*w(r). Calculate a*t(v) - 4*n(v).\nAnswer: -v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 4\/3, 1, -1\/6, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 70*g**2 + 70*g + 63. Calculate c(71).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x - 5*n - 123 = 54, -n = 4*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21503304605 - 0\nAnswer: -21503304605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4018 by -49.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 276*l - 1 = -281*l, -l - 27 = 4*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 2*l - 5*n - 25, -5*l = -n - 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4034859?\nAnswer: 3, 19, 71, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 380*q**3 + 3.\nAnswer: 380*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410095 is divided by 136?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546 = n + 3*z, 3*n + 3*z - 2220 = -n. Let j be n\/7 - 4\/(-14). Suppose -j = -3*l - 2*l. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:14 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 3*a**2 + 2*a - 8. Give f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5\/4 - 95*u**4\/4 + 245*u**3\/4 - 65*u**2\/4 - 125*u\/2 + 40 = 0. Calculate u.\nAnswer: -1, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13229 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 2)*(-37)\/2. Suppose j = -j + v. Find g, given that -37*g - g**3 + j*g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1 + (3 - 6). Suppose 2*n + 8 = -2*n. What is the nearest to -3 in -0.3, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*w**5 - 409*w wrt w.\nAnswer: -3520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9864*t - 96*t = 268920 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 x when three letters picked without replacement from {f: 5, g: 4, x: 1, e: 2, b: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:13 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-25 + 22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2994219 rounded to 2 decimal places?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 4*c + 105, 4*c + 78 = 2*u. Let a(s) = -s**3 + 2*s**2 + 2*s - 14. Let d be a(6). Let o = d + 267. What is the remainder when o is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8622717 is divided by 3992.\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.851660986742 + -12.\nAnswer: -11.148339013258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -46, -52, -28, 44, 182?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 54 = -2*m - m - m + 3*z, 3*m + 2617*z = 2679*z - 526 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 8) + -42 + 2 + -3 + 14\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**2 + 2*m + 10. What is the hundreds digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-1*-5)\/(sqrt(6)*-1*2))\/((3*sqrt(360))\/(sqrt(5) - 5*sqrt(5)*-2)).\nAnswer: -55*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = 34*m + 55 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*16 - (3 + 0). Let x = p - -22. Determine b, given that 0*b**x - 4\/5*b + 6\/5*b**2 - 2\/5*b**4 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = 26*p - 31*p, -p - 5*w = -10. Let r(k) = 457*k. Let x be r(1). Suppose -5*m + 1792 - x = p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 19*v = -15*v - 1, -2*z - 3*v = -7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(((sqrt(11) + sqrt(55)\/sqrt(5) - sqrt(11)) + sqrt(11) + sqrt(11))*-3).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 4*n + 2*n - 2*n + 4*n - 4*n + (n + 5*n - 5*n)*(0 + 2 - 1) + (-114*n - 242 + 242)*(-4 + 1 + 2).\nAnswer: 111*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*x - 69*x - 819 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12468958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -26322*x + 287 - 135 - 152 as p*x + u and give p.\nAnswer: -26322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 590*i**2*z**3 + 5*i**2*z - i*z**2 - 7*z wrt z?\nAnswer: 3540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.2, 27, -0.05, -423?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -18*x**3 - 1. Let j be o(-1). Is 2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12\/15*(-11160)\/(-48) and 18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-271 + (-241155)\/(-897))\/((-10)\/26)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/7 (c) -0.1 (d) -37 (e) -49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.552 - -0.148. Let m = o + -12. Suppose -2*z + 4 = 2*z. Put z, m, -5\/6 in descending order.\nAnswer: z, m, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 870\/(-2) - 6\/6. Let t = 21 - o. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2905394 >= -2905343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 20*t**2 - 40*t - 71. Let c be o(-18). Solve -b - c = -4*d, -2*b + 2*d + 10 = 6*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1195*q = 1193*q + 5476. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3294\/810*(-3 - (-51)\/12) and 41\/440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 12443, 5, -11 in decreasing order.\nAnswer: 12443, 5, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4345 times -0.108594\nAnswer: -0.047184093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, t: 1, e: 1, z: 9, x: 1}. What is prob of sequence st?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02064 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62974916.\nAnswer: 2, 15743729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -64, -167, -322, -535, -812?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4*3\/18)\/(4\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -138*v**2 + 115. Let m(l) = -l**2 + 1. What is -a(d) + 115*m(d)?\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9331237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8019)\/756)\/33*-7*2\/(360\/(-5)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 11:03 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. What is the units digit of ((-2)\/s)\/(2\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/4)*f))**(3\/32)\/((f\/(f*f*f**(-1\/2)*f))\/f*f\/(f**(-4)\/f)) assuming f is positive.\nAnswer: f**(-463\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 128, 123, 82, 11?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12733 + 4243 + 60*y**2 + 4246 + 4244 + 194*y**2.\nAnswer: 254*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 41 = -3*x. Let q = -7 - -3. Let k(p) = -4*p - 5. What is the remainder when x is divided by k(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 329*x + 1. Let y = -18 + 22. Is s(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - -76 - (-19 + (2 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 5, 4007?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26\/3 + -9. Let w = -8.1 + 9. Let t = -1 + w. Which is the closest to q? (a) 3 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -5.33397.\nAnswer: -2.666985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ncnchcnnnnnnccccnn?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o - 22. Calculate the smallest common multiple of (0 - (5 + -2))*o and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525.575724 rounded to the nearest ten?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*n + 7. What is the remainder when 31 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 o when three letters picked without replacement from {g: 6, i: 2, o: 4, c: 1}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003539033759 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35866 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*i + 56. What is the hundreds digit of (-6*2\/i)\/(66\/(-6424))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5353740 (base 9) in base 6?\nAnswer: -141302443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7307170 to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 10*g**2 + 13*g - 4. Let b be -4*(-2)\/((-24)\/(-33)). List the prime factors of o(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -0.4. Let f = 1.4 - 2. Let g = f - i. Which is bigger: g or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1548 + 1001. Let c = z - -3068. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 6 + 2*f**4 - 9 + 0 wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - 3381?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12887494?\nAnswer: 2, 47, 71, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssdssssssdsdsssdssd. What is prob of picking 3 d?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r + 223. Let a be u(25). Is (1035\/92)\/(a\/(-56)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/625960 and 49\/39670215?\nAnswer: 317361720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 - 49*f**2 - 16*f - 44. Determine n(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1073777.2838 to the nearest 1000.\nAnswer: 1074000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 840929 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: Collect the terms in -32*t**3 - 18533*t**2 - 20917*t**2 + 39450*t**2.\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28 - -34) + (8 + 0)\/(-2). Suppose 216 = p*n + 568. What is n rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/30 - 5*v**4\/12 - v**3\/3 + 7*v**2. What is the lowest common multiple of 71 and k(6)?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 g when three letters picked without replacement from {x: 2, d: 5, s: 3, k: 1, g: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2483 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 395 by 118.\nAnswer: 395\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2379 divide 39230744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-286)\/((-99)\/9) - (-7 + 0). Solve -i*o - 110 = -11*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 - 2*l + 2. Let b(a) = -888*a**2 + 36*a - 42. Let g(o) = -b(o) - 21*y(o). Suppose g(x) = 0. Calculate x.\nAnswer: -2\/331, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*-1)\/((-150)\/60). Let k(m) be the first derivative of -7*m - 1 - 1\/3*m**3 + 0*m**v. Give k(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227 divided by -3\nAnswer: -227\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31649\/10 + 3161. Calculate the common denominator of y and 125\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 6\/(-3)*156*-1.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*a**3 + 477*a**3 - 1271*a**3 + 314*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0129208 - 0.0911028. Let j = 0.104 + x. What is j rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1325)\/106*4\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 28 = -13*i + 9*i, -i = -4*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(4) - sqrt(36)\/sqrt(9)*1)\/sqrt(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11856*y - 24024. Give n(-2).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76720661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -9*l - 23400. What is l rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 2*j**2 + 30*j + 327. Let t be n(-6). Let r = 0 + -0.4. Put 1\/7, r, 0.57, t in ascending order.\nAnswer: r, 1\/7, 0.57, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 178 + 0?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4678, -3675, -2666, -1651, -630?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 4*s + 5. Let n be w(5). Suppose 4*z + n = -69. Let b = 44 + z. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15506015, 31012030, 46518045, 62024060, 77530075?\nAnswer: 93036090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1611, 1554, 2.\nAnswer: -1611, 2, 1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -131 + -b118a?\nAnswer: -b12bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309505 divided by -185?\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*k, -5*i + k + 1 = -10. Let u be -4*i\/4*(2 - 6). Suppose -74 = -p - u. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 7*s**4\/2 - 6*s**3 - 9*s**2 + 42. Let u(k) = k**3 - k**2 - k. Give -2*h(b) + 36*u(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86494 and 962998.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436285 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1.24.\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:51 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21693, -43385, -65077, -86769?\n\"Answer: -21692*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.1 - 17.1. Let k = -2.5 - -2. Let v = 0.6 + k. What is the second smallest value in x, 5\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 11537?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6.54 * 0.1\nAnswer: 0.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*m = -l + 188, m + 257 = -4*l. Let n be (l - -1)\/(-9) + 2. Solve 2*q + 8 = -4*i, -4*i + q + n = 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 1302 = -103*c + 19*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3142*h**4 - 305*h**2 wrt h.\nAnswer: -75408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ncbnnwczzhnnhhcbbcbz.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 7*l**2 + 2*l + 7. Determine m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1164 or -37217\/32?\nAnswer: -1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/144 and (-1*2\/48)\/(35\/2457).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 46 = 3*w. Calculate the highest common factor of w and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4068 + -2627. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 99*u. Let w(c) be the first derivative of -2*c**2 - 596. What is w(i(b))?\nAnswer: -396*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -44*((-2)\/1)\/(-3 - -11). Suppose 13*s - 314 = l. What is the remainder when 73 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -11. Calculate the common denominator of 6\/5 and 2\/c*246\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 627588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0029 + 420681.9.\nAnswer: 420681.8971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 21788703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4741 - -4748. Calculate the greatest common divisor of 126 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q, 4*q - 1 = v - 10. Suppose 3*j - 5*j = 0. Let r = j - 2. Is v > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, t: 6, d: 1}. What is prob of picking 1 z and 1 t?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - (-164)\/6. Let o(p) = 11829*p - 23651. Let v be o(2). Solve -3*c + 23 = -v*c + x, 5*c = x - a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 59*v = -22*v - 102, 5*m - 21 = -2*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**3 - 6*t**2 + 4. Let r(q) = 6*q**3 + 7*q**2 - 5. Determine 6*a(p) + 5*r(p).\nAnswer: -12*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9870827 to the power of 1\/2, to the nearest integer?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.48 + -33.55. Which is the second biggest value? (a) -2\/11 (b) 5 (c) v (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 12*s + 10. Let i be n(-14). Let z be 66\/14 + (3 - i\/14). Put -4, -3, 4, z in decreasing order.\nAnswer: z, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4.1, 2\/939701, 3 in descending order.\nAnswer: 3, 1, 2\/939701, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -593*a - 108. Let t be m(3). Let o = 2642 + t. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2480777 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(9\/8))\/f)\/f*f)\/f**(-10))**(-7\/2) assuming f is positive.\nAnswer: f**(-623\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169 + 40 - 207*m**3 + 204*m**3 - m**2 - 21 + 0*m**2 to g + y*m**3 + n*m**2 + v*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 501229*b*t**2 + 93*t**2 - 5*t - 125 wrt b.\nAnswer: 501229*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2150*k + 28806*k + 10750*k.\nAnswer: 41706*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2\/5 - 91368*h\/5 + 695675952\/5 = 0?\nAnswer: 15228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s*s**10)**(-31)\/(((s**(-1\/3)*s)\/s*s)**(-27)*(s\/s**7*s)\/s**(-7\/6)) assuming s is positive.\nAnswer: s**(-9947\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03033 less than -1.3238664513?\nAnswer: -1.2935364513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*q + 1 = 796, -5*g + q - 1303 = 0. Let k = g + 77. Let i be (-24)\/(-30) - k\/15. Calculate the highest common divisor of 26 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -15, 2*p = 3*f + p - 2541. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 5*sqrt(275) - sqrt(275))*4)**2 - (sqrt(704)*-1 + 4).\nAnswer: 8*sqrt(11) + 109996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byo when three letters picked without replacement from hbuhouhbyyzzhbbyu.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t\/t**(1\/10)))*(t**(-10\/3)*t)\/t assuming t is positive.\nAnswer: t**(-73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 4*a**2 + 4*a - 2. Let l be b(2). What is the common denominator of (-85 - 4)*(-1)\/(-10) and (l\/12)\/(5\/185)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/10 (b) -3 (c) 0 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/660 and -89\/14040.\nAnswer: 154440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/8 - -5\/8. Let b = -0.24 + 8.24. Are b and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245) + (sqrt(180) + -2)**2)*5.\nAnswer: -155*sqrt(5) + 920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 50. Let p be g(20). Let x(l) = p*l + 353 - l**2 - 185 - 172. Give x(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, n: 2, b: 5, o: 4, r: 3}. What is prob of sequence bn?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 2*k - 1. Let v be o(1). Let r be 0\/((2\/1)\/v). Suppose r = -g - 1 + 9. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50465 is divided by 16800?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*i = -9, w + 4*i = 3*w + 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 - 858454*q**3 + 184556*q - 4 wrt q?\nAnswer: -20*q**3 - 5150724*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o. Let k be a(-1). Suppose k = 4*u - 3*u - 3. Let s = 3.8528 - 3.6528. What is the nearest to -3 in s, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11573801657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25\/38 - 3\/19. Let r be ((-16)\/(-5) - 3) + -1. Sort r, -5, l in decreasing order.\nAnswer: l, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 243611, 243614, 243619, 243626?\n\"Answer: b**2 + 243610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 4 (b) -54 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*o - 147304, 11*l + 3*o = 9*l + 58927. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -285*n - 2078*n + 122*n - 691*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t - 21 + 21 + (3 - 3 - 1)*(4*t + 0*t - 3*t) + (1 - 1 - 1)*(-t - 2*t + 4*t) in the form o*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18*12*(-25)\/(-300)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -550687.\nAnswer: -5\/550687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134500 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 19*o + 3. Let u(d) = 7*d - 1. What is u(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 take away 0.22?\nAnswer: 3050.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*w - 1002. What is the hundreds digit of (-1 - (0 - 2))*w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1737288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3*(-6)\/11. Let d = 1 + -1. Sort d, 2, c.\nAnswer: d, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125061 - 125064. Let b = -0.1 - -0.1. Let l = 0.1 - b. What is the nearest to u in l, -10, 2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 4. Let d be s(7). Let o be -5 - (0 + 3)\/d. Let h = -129.1 + 128.7. Which is the closest to 0? (a) o (b) h (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3679?\nAnswer: 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/7 - 702*x**3\/7 - 1920*x**2 - 66200*x\/7.\nAnswer: -2*x*(x + 10)**2*(x + 331)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54193 - -0.543. Round s to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10913768 divided by -4?\nAnswer: 2728442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7773723 centuries?\nAnswer: 0.07773723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 + -54?\nAnswer: -57.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*d = -3*w - 20, 0 = -5*w + 5*d + 50. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c13 (base 13) in base 2?\nAnswer: 101010100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/7 - 4716*h**4\/7 - 1481836*h**3\/7 - 53278884*h**2\/7 - 51801760*h\/7 = 0 for h.\nAnswer: -569, -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**6\/24 - 139*j**5\/5 + 77283*j**4\/16 + 139*j**3\/3 - 19321*j**2\/2 - 9964. Determine x so that i(x) = 0.\nAnswer: -1, 0, 1, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-4))\/(2\/4). Let u = 6 - a. What is the highest common divisor of u and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 1\/53 (c) 1\/56 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c23b (base 14) in base 8?\nAnswer: 1344355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -6, -1\/6, -2, -4, 32\/149, -1\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let q(c) = 16*c - 18*c + 1 + 11*c + 14*c. Determine x(q(f)).\nAnswer: 529*f**2 + 46*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*c - 102. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 256*k**2 - 38*k - 205. What is the hundreds digit of c(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6664, 6725, 6786?\n\"Answer: 61*f + 6603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244948 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2679 - -2746. What is the remainder when f is divided by 201\/9 + (-2)\/(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98268?\nAnswer: 2, 3, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1622472 divided by 24\nAnswer: -67603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 73*y = 710. Solve b = y*b - 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*c, 0 = 2*m + c - 0*c. Suppose -2*g + 10 = -0*g. Solve 2*l - 6*l + 3*w - 11 = m, -w = -g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-7))\/(22\/77)*-2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 7*m - 1163. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 4*q - 7. What is the remainder when u(-6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t = -c - 12, -2*c + 5*t = 9. Solve 2*n - 5*j - 45 = -c*n, -2*n = 4*j + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + k - 2*k**3 + 26*k**4 + 167239535 - 167239533 to the form n*k**3 + q*k + j*k**4 + x + s*k**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 >= 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.005*881.\nAnswer: -7933.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -23)\/((-6)\/(-4)). Let c = -20 + i. Let d = 41 - c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 7 = 4*g + 5*p, 0 = 2*g + p - 9. Solve -g*s = 2*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a litre in millilitres?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -959, 3\/10, -0.4, -3 in decreasing order.\nAnswer: 3\/10, 0, -0.4, -3, -959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 15*p + 4*b = 13, 3*b = -p + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 31 = -4*h. Suppose i - 4*i - 117 = 0. Let f = h - i. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + -2 + 4 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = -3*d - 181500, -2*f = 2*d + 121000. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 85 - 79 = 0. Which is smaller: 10.7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/219994 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a + -2177?\nAnswer: -2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**2\/2 + 108. Let x(b) = 237*b**2 - b. What is n(x(i))?\nAnswer: 237*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6435)\/1155*42\/(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzzczzczzzzpppzzzz. Give prob of picking 2 c.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 2*x + 1. Calculate the remainder when s(3) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 14) + 266 + -274?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 78323050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {g: 3, e: 4, n: 5, b: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468 (base 10) to base 2.\nAnswer: 111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(12) - (sqrt(432) - ((-1*sqrt(432) - sqrt(432) - sqrt(432) - sqrt(432)) + sqrt(432))))\/(sqrt(44)\/(sqrt(11) + sqrt(44) + sqrt(11))).\nAnswer: 552*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2 + 7*y + 2. Let o be x(-6). Suppose o + 85 = 3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 - 49\/((-7840)\/(-1060))?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + u = 100, -m + 2*m - 5*m + 66*u = -232*u - 7450 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 707849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187294186 - 187294186 + 2*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (13 + -6)) + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3682*o = -2*t - 3686*o + 18, -7*t + 8 = -o - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000 + 10?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/8*(-6)\/(-15). Suppose 3*i + 5 = 4*i. Solve 2*v - k*v = -i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:23 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/54 + 79\/54. What is the third biggest value in p, -3\/8, 28, -0.9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292013739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 3\/4 (c) -77200 (d) -6 (e) 4 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -252*q**4 + 109324*q**3 + 349392*q**2 + 90896*q = 0?\nAnswer: -26\/9, -2\/7, 0, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 7*s**2 + 6*s - 5. Let k be d(-5). Suppose 5*a - k = -0*a. Let h(r) = a*r**2 - 2*r**2 + r**2. Let i(t) = 3*t. Calculate i(h(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -1329 - 465. List the prime factors of h.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*y + 30\/11*y**3 - 14\/11*y**2 - 18\/11*y**4 + 0.\nAnswer: -2*y*(y - 1)*(3*y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -1 - (-2025)\/(-27)*10\/108?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 54 = 12*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 475 = -5*f. Does 31 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 0.2, 41\/6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 64. Let f(i) = 9*i - 127. Let k(l) = 5*d(l) + 3*f(l). Calculate k(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-1 - -1)) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385, -979, -1979, -3391, -5221, -7475, -10159, -13279?\nAnswer: -16841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2. Let i(x) = 1 - 15*x + 11*x - 1. What is u(i(t))?\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(95) - sqrt(95)*-3))\/(sqrt(40)\/(sqrt(16)\/sqrt(2))) + -1*(1 + (-1 + sqrt(38)\/(sqrt(2)*2))**2).\nAnswer: -27\/4 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 209*i**2 + 628*i - 2307. Give h(206).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66044125 divided by 13208825\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2110, 2225, 2340, 2455, 2570, 2685?\n\"Answer: 115*s + 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 68*c**2 + 3*c + 230. Calculate u(-68).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 71171 * -1\nAnswer: -71171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/1431)\/((-187)\/459)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 - 23?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829707, 1659414, 2489101, 3318756, 4148367, 4977922, 5807409?\nAnswer: 6636816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbggkggobdbdgkdbg. What is prob of sequence bbk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m - 1. Let c(q) = 192*q + 18. Let w(h) = -74*h - 7. Let s(r) = -12*c(r) - 31*w(r). Determine 5*d(k) + 6*s(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*q - 2*q + 2*q)*(-680*q - 418 + 418) + (q + q + 0*q)*(-2*q + 0*q + q) to the form h + d*q**2 + a*q and give d.\nAnswer: -10882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797343 is divided by 948.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -13. Suppose 3*l - 1112 = -a, -5*a + m*a + 366 = l. What are the prime factors of l?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j + 3 + 7*j**2 + 0*j**2 - j**3 - 1. Let t be p(8). Factor n**3 - t*n + 0*n + n.\nAnswer: n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = -5*j, j - 6*d + d + 7 = 0. Let g(y) = y**3 + 2*y**2 + 3*y + 1. What is g(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 20.1. Which is the third biggest value? (a) u (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/6 + 2*g**4\/3 + 9*g**2. Find the second derivative of z(b) wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -23277046*i**2. Let r(l) = l. Calculate r(x(y)).\nAnswer: -23277046*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q + 8*q**3 + 0*q**4 + 7 - 1\/120*q**5 + 0*q**2. Let z(r) be the third derivative of a(r). Let j(n) = -9*n. Give j(z(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-56))\/((-2)\/16))\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 3*f + 949*f**3 - 4*f - 951*f**3 + 2*f**4 in the form u*f + g + w*f**4 + x*f**2 + s*f**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1045)\/(-3762)*(-18)\/(-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - -26) + 24 + -29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(2) + -2) + -2 + (sqrt(98) - -1*sqrt(98)))**2.\nAnswer: -1352*sqrt(2) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 69?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.338, 2, 0.5 in ascending order.\nAnswer: -1\/8, 0.338, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3\/(-1) - -8. Let y = t + -6. Find the second derivative of 4*m - m - 2*m**y - m**5 wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 265252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/15 + 5)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 7, u: 11}. What is prob of picking 1 u and 1 d?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9063273 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*r - 315*r + 3*r**3 - 7*r**3 + 636*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4)*(-600)\/(-1350). Let x(a) be the second derivative of 1\/20*a**6 + 0 + 1\/8*a**5 - 35*a - h*a**3 + 0*a**2 - 1\/6*a**4. Let x(t) = 0. What is t?\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 15, f: 4}. What is prob of picking 3 o?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**23\/((s*s**13)\/s))\/(s**(-3)*s*s\/s**(-14)) assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18390 divided by 4.\nAnswer: -9195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 3, x: 4, d: 3, n: 2, y: 2}. What is prob of picking 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.086 and -775?\nAnswer: -66.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4289, 4078, 3817, 3506, 3145, 2734?\n\"Answer: -25*s**2 - 136*s + 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:20 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmmtm. Give prob of picking 1 m and 1 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*i - 10, -v - v = -4*i - 22. Let l = -3 + v. Suppose -u - l*u = -66. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10532601 is divided by 52663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*a = -54, 0 = 4*c - 2*a + a - 55. Calculate the remainder when 26 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 3*y + 3*y + (-2 - 19*y + 2)*(-12*y**2 + y**2 - 8*y**2) as q*y**2 + p*y**3 + l*y + o and give p.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -230*h + 221*h + 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-520)\/48*2)\/(2\/(-6)). What is the highest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1\/(-4)*(-8 + 5 + -5375 + -10)?\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 582432*m + 118068860.\nAnswer: 4*(m - 145405)*(m - 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 15. Let q = -1.07 - -0.07. Let p be (39\/1170)\/((6 + -1)\/20). What is the nearest to q in f, 4\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196213 times 10.2?\nAnswer: 2001372.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(18\/9)\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566902157 to the power of 1\/3, to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose 0 - x = h. Which is the closest to 0? (a) -0.3 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8031450.766892 from 3.1.\nAnswer: -8031447.666892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*((-2*(2*sqrt(175) - sqrt(175)) - sqrt(175)) + sqrt(175) + -3 + -3)*-3)**2.\nAnswer: 17280*sqrt(7) + 105984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2148 = 298760\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/3? (a) 4 (b) 35 (c) 0.059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1250*o - o**2 - 2551*o + 1301*o. Let s(y) = 483*y**2. Give x(s(d)).\nAnswer: -233289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -619 + 1159. Suppose -2*q - a = -8*q. Calculate the greatest common divisor of 72 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -37*q**2 + 7*q - 4. Let n(g) = 25*g**2 - 5*g + 3. Determine -7*n(p) - 5*r(p).\nAnswer: 10*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70146, -140288, -210430?\nAnswer: -280572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 (base 10) in base 8?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7.7, 4, -2\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -803, -794, -779, -758?\n\"Answer: 3*f**2 - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13398288 to the power of 1\/2, to the nearest integer?\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyttlvqtttryvyryttly. What is prob of sequence qqtq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -3 (b) 1\/3 (c) 29542 (d) 2\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 39. Suppose -14*v - 231 - 49 = y. Let l = 83 + v. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**3 - 10*a**2 - 5*a + 1. Let s(t) = 15*t**3 + 22*t**2 + 10*t - 3. Let n(z) = 7*o(z) + 3*s(z). Give n(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 130\/40 + (-43)\/12. What is the closest to d in -5, -17, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 214619 and 6.\nAnswer: 1287714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 422455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**2 + 6*a + 1. Let m be p(7). Suppose m = 3*d + 2. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**2 - 1378425*k - 150188920 = 0.\nAnswer: -275576, -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 rounded to the nearest ten?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698553.\nAnswer: 3, 77617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/3)\/2)\/((-2)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(483\/70 + -7). Let o(g) = g**3 - 9*g**2 - 9*g - 10. What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, z: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-3)*((-15)\/(-10) + 0). Let w be (20 + r)\/(4 + 6). Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9\/5)\/t**(-9))\/((t\/t**(-2))\/t)**(-31) assuming t is positive.\nAnswer: t**(346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138 + 140)*22\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 4, 2\/7, -1.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 40 = -2*i. Is 6 + (2 + i - -323) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/294658 and 6\/24519755.\nAnswer: 343276570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-3 + 4 + -2). Let f be 17\/j - (-4)\/6. Which is the nearest to -1? (a) f (b) -3\/4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/19 + 1844*d**3\/19 - 18606*d**2\/19 + 31672*d\/19 - 14912\/19 = 0. What is d?\nAnswer: -932, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132558 - 113462. Round u to the nearest one thousand.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 11*t**5\/20 - t**4\/24 - t**3\/6 - 16*t**2. Let s(a) = -a. Let b(v) = i(v) - 3*s(v). List the prime factors of b(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 28*d**3 + 24*d**2 + 112*d - 160.\nAnswer: 4*(d - 5)*(d - 2)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77606 is divided by 25637.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 5:52 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1848186 (base 9) to base 2\nAnswer: -11111100111100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62\/7 + -61\/14. Let d = v + -31\/6. Let b be (-3 - 34\/(-12))*-4. What is the nearest to -0.2 in -3\/5, d, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 7 = 5*v + 8*j, -19*v + 3*j = -20*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(68) + (sqrt(68) - (sqrt(68) + 4 + sqrt(68) + 1))**2 + -5*(-1 + sqrt(68) + sqrt(68) + sqrt(68))**2 + -4*(-4 + sqrt(68))*5.\nAnswer: -2893 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 115*g - 561. Determine m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-9)*(-42)\/(-70). Solve 3 = g + 4*d + 14, -2*g = -a*d - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Let p be (-12)\/(-9)*3\/o. Solve 3*m + p + 13 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1638)\/4)\/(-3) - 83\/(-166). Suppose x*n - 136*n = 3. Solve n*l = -0*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -41 - 38 + 8*a + a**3 + 6*a**2 + 84. Calculate v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32804470 rounded to the nearest 100000?\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*v - 30 = 0, 9*v = 6*v - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 1145 = 89*f - 2579 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1805 divided by 27\nAnswer: 1805\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 325 and 4420?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-520)\/624 - (-156835)\/5199. Let n = 1\/3466 + p. Factor 4\/3*q**2 + n*q + 484\/3.\nAnswer: 4*(q + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 - 16*s**2\/5 - 952*s + 9568\/5.\nAnswer: 2*(s - 52)*(s - 2)*(s + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 38*j + 237. Calculate p(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let c(a) = -21*a + 129 - 129. What is c(z(v))?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 639?\nAnswer: -2\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 2*r**2 + 5*r - 7. Is x(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = -2*z. Put 4, z, -2 in descending order.\nAnswer: 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 16341*u + 245140\/3.\nAnswer: -(u - 5)*(u + 49028)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -27*r. Let l(o) = 33*o - 35. Let g(j) = 116*j - 126. Let d(t) = -5*g(t) + 18*l(t). Calculate -11*d(x) - 6*m(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w*w)**0*((w\/((w\/w**(-24))\/w))\/w)\/w**(-2\/7))**(22\/9) assuming w is positive.\nAnswer: w**(-3652\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1320 divide 2569774680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 5*n**4\/12 - n**3\/3 - 7*n**2\/2 + 11*n. What are the prime factors of i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 4.98. Let t = k - -11. Let c = 4 - t. What is the closest to 1 in 1, 2, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*-1*2)\/(-6*sqrt(27)\/sqrt(3) - sqrt(9)))**2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d**2 + 998*d + 14359. What is w(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 - 171. What is the fourth biggest value in z, -3, 4\/27, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24*b + 132 = 5*p, -p - 3*b = -55. What is the remainder when 1224 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(363) + 1)**2 - sqrt(363)) - 1*(sqrt(363) + (sqrt(363)*2 - sqrt(363)))) + 4.\nAnswer: 22*sqrt(3) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 + 8*b - 12. Let y be k(7). What are the prime factors of y\/10 - 75\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 202911, 405822, 608737, 811656, 1014579, 1217506?\n\"Answer: 2*g**2 + 202905*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 259314 and 924?\nAnswer: 3630396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j = -67*j + 39536 + 6024. Calculate the remainder when j is divided by 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvvgvggbgk. Give prob of picking 3 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 1 - 32. Suppose w*v = 12*v + 62. Round v to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is the highest common factor of 576 and 38136672?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35, -0.08, 2613?\nAnswer: 2613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*h + 4*j + j, 10 = -2*j. Suppose -140 = -5*b - 5*g, -2*b + 84 = 2*b - 3*g. Let w = h - b. Calculate the greatest common factor of w and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.83 + -1.13. Which is the fourth biggest value? (a) 5 (b) -0.5 (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 12*q = -2*v + 29, 0 = -3*v + 3. Which is smaller: 13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35126.05 decades?\nAnswer: 4215126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 3 - 3)*(3 - 2 - 3) + 3 - v - 3 + 0*v + 2*v - 4*v + (4 - 4 - 1)*(-2 + 2 + v) - 3*v + v + 0*v + 3*v + 2*v - 3*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 279*o - 54. Let m(x) = 467*x - 109. Let y(t) = -3*m(t) + 5*n(t). Give y(18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22487912 rounded to three decimal places?\nAnswer: 1.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by 1.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 3:40 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (66*x - 145 + 230*x + 147)*(6*x**2 - 11*x**2 + 21*x**2) in the form z + c*x**2 + w*x**3 + h*x and give w.\nAnswer: 4736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -29) + -8 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 9*m**2\/2 - 12*m - 1. What is the tens digit of p(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7) + (sqrt(63)*6 - sqrt(7)))**2 + 1.\nAnswer: -108*sqrt(7) + 2278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(176) + 1)*4)**2.\nAnswer: 4608*sqrt(11) + 101952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8815 to 1 dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61, 122, 185, 250?\n\"Answer: n**2 + 58*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 858354960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00162316 rounded to five decimal places?\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 4. Suppose -2*a - 3 - z = 0. Let r be (-4)\/2*(-2)\/4. Put r, a, 2 in descending order.\nAnswer: 2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a hour in minutes?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 + 0?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53228878129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 3*k + w, -5*k + w - 146 = -w. Let v be -2 - 0 - -1*(-48)\/k. What is the smallest value in -8\/3, v, -1\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 - k**2 + 15*k + 13. List the prime factors of h(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:22 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 294217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 90. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2207109, 4414219, 6621329, 8828439, 11035549, 13242659?\n\"Answer: 2207110*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 523036906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 17*b**3 + 391*b**2 - 7*b - 169. Give d(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363140097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212 + 211.967. Let o = 0.0305 + l. What is o rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 3. Let a be s(-2). Is (2008\/(-24))\/(a\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 3 + sqrt(11) + sqrt(88)\/sqrt(288).\nAnswer: 3 + 19*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f + 5. Let u = -11 + 23. What is the remainder when u is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 32*u**2 + 48*u + 55. Is h(28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/80 and 119\/110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 35 (b) -3\/8 (c) -24475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.422.\nAnswer: -0.0422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -4\/5, -8.757945 in descending order.\nAnswer: -3\/7, -4\/5, -8.757945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/10 - (-2)\/5. Let v = 22 + 4. What is the remainder when v is divided by 9\/(-1*w\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -1\/2 (c) 0.2648 (d) -5 (e) 4 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -172, -158, -150, -148, -152, -162?\n\"Answer: -3*w**2 + 23*w - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5*o - 25, r - 5*o = -156 + 181 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39647839 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 11*s - 6. Let i be -5*(-8 + 6 - (-15)\/25). Suppose -4*f + i = 23. Determine a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.37 and -1.721?\nAnswer: -0.63677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2903, -2901, -2899?\n\"Answer: 2*u - 2905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/60 and 19\/612060?\nAnswer: 612060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3360183 minus 3.75?\nAnswer: -3360186.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7777.9 + -7301. Let l = 458 - i. Let q = l - -10. What is q rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 + 0*m**3 - 3*m**3 + 0*m**3 + 0*m**3 - 6*m**3 + (-1 - 2*m + 1)*(0*m**2 + 3*m**2 + 0*m**2) in the form y*m**2 + f + n*m**3 + g*m and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 123692\nAnswer: 5\/123692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 2423175.58041979?\nAnswer: 2423175.08041979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55215, 110409, 165601, 220791, 275979, 331165, 386349?\n\"Answer: -y**2 + 55197*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5190 and 10.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - m**2 - 4*m + 3. Let d be f(3). Let u be (3\/d)\/((-2)\/(-36)). Suppose 2 = 5*x + 4*l, -10 = u*l - l. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 - 3*u - 5. Let d be w(-5). Suppose a - d = 6*a. Let j = 3 - a. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9088)\/(-3408))\/((-11)\/9*-2)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 40449870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 > 253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 3*l**3 + l**2 + (-l - 3*l + 5*l)*(-2*l + l**2 + 2*l) + 0*l**3 + 0*l**3 - 2*l**3 + l**2 - l**3 - l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjvv. What is prob of picking 1 q and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(3\/7))\/(m\/m**(-5)))**27 assuming m is positive.\nAnswer: m**(-864\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4786 - -43150\/9. Find the common denominator of v and 11\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26.32377m?\nAnswer: 26323770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*f - 51*f - 44 = 0. What is the derivative of -26*o**2 - 49 - f*o**2 + 12*o**2 wrt o?\nAnswer: -50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtgggxoxggxxxgo. Give prob of sequence txxx.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 102?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17)\/w**(-15\/2))\/(w*w**(-2\/11))**(-46) assuming w is positive.\nAnswer: w**(619\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013251 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -4\/7 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5883 - -3017253635.\nAnswer: 3017259518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 4*u - 1. What is a(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 134.\nAnswer: -63\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**5\/2 - 467*z**4\/6 + 2515*z**3\/2 - 38285*z**2\/6 - 1859*z + 17576\/3 = 0.\nAnswer: -1, 8\/9, 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -36*y + 17. Let j(c) = 38*c - 19. Let g(i) = -5*j(i) - 6*o(i). What is the hundreds digit of g(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 0 (b) 192035 (c) -0.4 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -0.07?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = 2*j, -7*c + 2*c - 2 = -4*j. Solve c*b + 26 = 4*m + 7*b, 12 = 2*m + 2*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10*y - 1196 = 0. Is y\/(-12)*3*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let u = 1 - l. Which is the third biggest value? (a) -2 (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**11*r)*r))**(-40)*((r**(-2\/19)\/r)\/r)\/(r\/(r\/((r*(r*(r**(2\/85)*r)\/r*r)\/r)\/r))*r) assuming r is positive.\nAnswer: r**(-717268\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3423.2 times -7.78?\nAnswer: 26632.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/sqrt(2)*-3)**2 - sqrt(88)\/sqrt(2))*-4.\nAnswer: -396 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 30*o**3 - o**2. Suppose 0*v - 2*v + 3*r - 4 = 0, 2 = r. Let j be a(v). Let d(q) = q**2 - 30*q - 10. Let f be d(j). Is f greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 3583051?\nAnswer: 24\/3583051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 1, e: 1, i: 7}. Give prob of sequence kheh.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 7827399.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 12*x - 8*x - 1, -g = x + 21. Are -17 and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5280661*r**3*s**3 - r**3*s**2 + 29758796*r*s**3 - s**3 wrt r.\nAnswer: -31683966*r*s**3 - 6*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*m**2*y**5 + 3*m**2*y**2 + 2*m*y**2 + 127*m*y + 823*y**5 + y**2 + 7*y wrt y.\nAnswer: 4020*m**2*y**2 + 49380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5 + 7*w**2 + 2 + 0*w + 9*w + w**3. Let t be s(-5). Solve 3*c = -p - t, 2*c - 14 = c - 4*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51661514 take away -2.1?\nAnswer: -51661511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = 0. Suppose s = 8*t - 186 - 1582. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 3 = -95*r - 7 - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214 in -3, 0.2, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/1690 and -31\/5072535?\nAnswer: 10145070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3816080 to the nearest ten thousand.\nAnswer: 3820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6396418 is divided by 3198200.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1\/(1023\/(-57) - (-19 - -1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9234.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/4 + 2801313*l\/4 - 2801315\/2 = 0. Calculate l.\nAnswer: -2801315, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 + 5*m**2 - 7*m - 6. Let w(d) be the first derivative of -d**4 + 4*d**3\/3 - 3*d**2 - 5*d + 2. Let t = 3963 - 3969. Determine t*w(p) + 5*l(p).\nAnswer: -p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74 + 73)*0\/1. Let q(x) be the first derivative of 5\/3*x**3 + 0*x**2 + 1\/3*x**6 + r*x**4 + 0*x**5 + 0*x + 1. Find the third derivative of q(p) wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138.3*-9602.\nAnswer: -1327956.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 208, 201, 180, 139, 72, -27, -164, -345?\n\"Answer: -s**3 - s**2 + 3*s + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2 - (1\/(-1))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 519281?\nAnswer: 32\/519281","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1288 + -1288. Solve j = 4*g - 7 - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 4, y: 2, g: 2}. What is prob of picking 1 m and 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + -8 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 520*b*p**2*s + 5*b*s - 89*b wrt p?\nAnswer: 1040*b*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 2583592*g**2 + 10334416*g - 10334432.\nAnswer: -4*(g - 2)**2*(g + 645902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-7) - 96\/(-224). Let q(m) be the third derivative of 0*m**3 + 1\/30*m**5 - 9*m**2 + 0*m + 0 - 1\/120*m**x - 1\/24*m**4. Factor q(f).\nAnswer: -f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*x - 2 = 0, 4*x + 10 = -2*n - 3*n. Let d be (n\/(-4))\/((-3)\/(-90)). Suppose 3*b - 3*u - d = -2*u, -4*b + 5*u = -20. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5\/7)*r*r*r*r**(-2\/13))\/(r\/(r*r\/r**(-3)))**(-37) assuming r is positive.\nAnswer: r**(-13183\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Suppose w*z + k - 100 = 6*k, -5*z = -5*k - 130. Suppose -25 = 5*m - 2*x - 78, 5*m - x - 54 = 0. Calculate the remainder when z is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63, 3\/5, 31, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 696*i**2 - 13*i + 6. Is x(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43151709 to the power of 1\/2, to the nearest integer?\nAnswer: 6569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) -4 (c) 34 (d) 0 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.979 - 0.021. Let p = g - -48. Let x = p - 10.00001. What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -5*h**7\/273 - 41*h**6\/65 - 4*h**5 + 1444*h**4\/39 - 1008*h**3\/13 + 784*h**2\/13 + 30*h + 5. What is x in b(x) = 0?\nAnswer: -14, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - 120 = -c, -c = 2*v + 55. Let y = 19 - v. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*i - 4. Suppose -5*j + 5*u = 21 - 66, 0 = 4*j - i*u - 26. Suppose -j*a - 20 = a. Sort -5, -3, a in descending order.\nAnswer: -3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovz when three letters picked without replacement from {e: 1, z: 1, v: 2, l: 2, y: 1, o: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401044010 (base 5) to base 16.\nAnswer: 35edaf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = 2*j, 4*j = 3*r - 1 - 8. Solve -2*f = -j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/1*(-3 - 80\/(-30)). Let x(h) = h**2 + 3*h + 2*h + 3*h. Calculate the remainder when 96 is divided by x(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 + 2290030*o**3 - 16030415*o**2 + 18320600*o + 36641040 = 0. Calculate o.\nAnswer: -458013, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 6*k - 41. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 820*r**5 + 6*r**3 + 17498*r - 17499*r + 143 - 6*r**3 wrt r.\nAnswer: 16400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*j - 4*x + 122, -x = -j + 35. Calculate the highest common factor of 187 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 62. Suppose 3*l = -0*l + t. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 0*j - 40044 + 40163.\nAnswer: -2*j + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45526 + u**3 - 1463*u + 45521 + 1463*u + 2*u**3 - 91047.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*q - 92 = -4*q, 5*t + 2*q = 221. Let r = t - 15. Suppose f - r = -f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1416 * 57\nAnswer: -8.0712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 17. Let u be (30\/8)\/(9\/24). Let m(s) = s - 15. Let i be m(17). Solve 5*a + u = a + c*l, 0 = l + i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15843*c + 1219907. Give g(77).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-3\/2)*v)*v*(v\/v**(-2\/9))\/v)\/(v*v**(-2)*v)**(-6\/7) assuming v is positive.\nAnswer: v**(67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*l = 0, 2*x - l = -3*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110010 (base 2) in base 8?\nAnswer: -662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -20*q + 34. Let r be m(-3). What is the highest common factor of r and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1790, 3\/397 in ascending order.\nAnswer: -1790, 3\/397, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -505 + 925. Suppose -13*t - 30 = -k. Suppose 0 = -94*g + 93*g + t. What is the greatest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5 - 997\/((-113658)\/6840).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.9 + 8.7. What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 36 - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 1, a: 1, x: 2}. What is prob of picking 1 n and 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 + 7*m + 2. Let n be q(7). Suppose -z = -n*s - 10, -z + 18 = 2*s - 6*s. Sort z, 5, -3.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 465084459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012524069.75 plus -1378?\nAnswer: -2012525447.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxydhx. What is prob of picking 1 x and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8639 + 8639.4. Let r = 0.1 + -2.1. What is the third biggest value in 4, x, r, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 5. Let c(o) = -2*o + 2. Let s be c(b). Let u = s - -27. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.27 + 1.73. Let v = h + -77.99902. What is v rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -16*s - 23. What is the second derivative of s*i**5 - 9*i**5 - 13*i**5 - 17 - 23*i**2 - i wrt i?\nAnswer: 20*i**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 8*w**2 + w + 2. Suppose 3*v - 36 = 3*z, -2*z = -3*v + 32 + 8. Let h = v + -7. Does 20 divide c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 + 2*j - 1. Let c be i(1). Solve 0*u - 3*u + n = -5, 3*u + c = -5*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459982973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*m - m + 2195, 5*g + 2159 = -4*m. Let r be g + (0*(-3)\/(-6) - -3). Let t = -234 - r. Calculate the greatest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + 2.87. Which is the smallest value? (a) 4 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 0 + 3)\/3. Suppose -4*r - 12 + m = 0. Let q(h) = -9*h. Let c be q(r). Solve 5*b + 2*p - c = 0, -4*b - 5*p + 8 = -17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66288, -66141, -65994, -65847?\nAnswer: -65700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445814 is divided by 237.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 232936581 to the power of 1\/2, to the nearest integer?\nAnswer: 15262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043907161?\nAnswer: 3, 17, 89, 450299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352781387?\nAnswer: 7, 50397341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 31 = -2*m + 5*m, -3*a = -m - 7. Suppose a*n + 0*n = 3*u + 26, 3*n = 3*u + 21. Let o = u - -4. Solve -3*c + 0 = -b - 5, 2*b + o = 2*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 794, 1848, 3590, 6014, 9114?\n\"Answer: -s**3 + 350*s**2 + 11*s + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v + 1. Let r be f(1). Let c = r - -10. Suppose 5*o - 4*o - c = -u, -4*o + 90 = -3*u. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. Let m = -359 - -359.5. Let f(n) = -2*n - 16. Let b be f(-8). What is the second biggest value in m, b, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 89603618?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5)\/((75\/7)\/15) - 285\/(-39)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3016104 divided by 2?\nAnswer: -1508052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54766 and 3058?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224177*r**5 + r**4 + 3*r**3 + 342354*r**2 wrt r?\nAnswer: -13450620*r**2 + 24*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 9*b - 7*b + 9*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 35288*w + 3*w**4 - 180*w**3 - 4*w**4 + 1 - 5*w**4 - 35287*w in the form o*w**4 + g*w**3 + r*w + m*w**2 + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g**2 + 2*g**2 + 4*g**2)*(2*g + 4 - 2 + 3) in the form u*g + y*g**2 + o + l*g**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = 26*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2346146, -2345478, -2344822, -2344184, -2343570, -2342986?\nAnswer: -2342438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 5*p, -6*p + 3*p - 5*v + 34 = 0. Solve 13 = 2*d - 0*b - b, -p*b = 2*d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -226*n + 218*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 11, a: 3}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 9) in base 7?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, 76, 34, -1, -5 in descending order.\nAnswer: 76, 34, 0, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -62*i**3 - 5*i**2 - 7*i - 43. Let s(g) = -64*g**3 - 6*g**2 - 8*g - 42. Calculate -6*a(h) + 5*s(h).\nAnswer: 52*h**3 + 2*h + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -9, 2, 5, -1777, -5 in decreasing order.\nAnswer: 8, 5, 2, -2, -5, -9, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {i: 5, k: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 3*j + j + (-2060 + 1134 + 1173)*(j + 0*j - 3*j) in the form v*j + a and give v.\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(48)\/sqrt(4)*-1.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -2*m**3\/3 + m. Let v(t) be the third derivative of 1\/30*t**5 + 0*t**4 + 0 + 0*t - t**2 + 0*t**3. What is c(v(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21357 divided by -189\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 29. Let t = -31 - -44. Let a be m(t). Solve 5*d = -2*q - 8 - 20, -a*d + 2*q - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 5, z: 7}. Give prob of sequence zii.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 46 = -a + 3*a. Let r(g) be the second derivative of -4\/27*g**3 + 0 + 1\/54*g**4 - a*g + 1\/3*g**2. Let r(t) = 0. Calculate t.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 687 and 3.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 0.09?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqppqqpqpqq. What is prob of sequence pppq?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 244 + 300. Calculate the remainder when 944 is divided by r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -4 - -5) + 129\/(-43). Solve -3*h = 4*x + 28, 4 = g*x + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 271. Let z be (-1 - -3)\/(t\/(-18) - 5). Solve -3*y - z = -0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103393392.\nAnswer: 2, 3, 37, 58217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3)*((v + 2*v - v)*(v**2 - v**2 + 2*v**3) + 2 + 22*v**4 - 19*v**4 - 1 - 2*v**4 + 3*v**4 + v**4).\nAnswer: 45*v**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9058 is divided by 2401.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 947*218212\nAnswer: 206646764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 2800. Let o(l) = -140. Let u(y) = -c(y) - 20*o(y). Let t(k) = -869*k. Give u(t(g)).\nAnswer: -4345*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(12\/(-15))\/2. Let i = 6 - x. Which is the closest to 0? (a) i (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 + 2730*i**2 + 44875*i - 47610 = 0. Calculate i.\nAnswer: -529, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11104\/32 - ((-2)\/(-4))\/(11\/22) is divided by 92.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1, -72, -209.6 in descending order.\nAnswer: 1, -1, -2, -72, -209.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32960647 by 15.\nAnswer: 32960647\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7210*s - 11 = 7203*s + 2*j, 33*s - 79 = 4*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*t + 5662 - 7252 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24100.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 11, -3, -53?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 < -1432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - 3*v + (v - 2*v - v)*(-15 + 24 + 7))*(2 + 6 - 2 + (2 + 0 + 0)*(4 - 2 - 1)).\nAnswer: -264*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - 31. Let b = -32 - w. Calculate the remainder when 98 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54637 - 20581. Calculate the greatest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89073 divided by -34.\nAnswer: 89073\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2102*j - 111452. Calculate o(53).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3268*i**3 + 2*i**2 - 21*i - 7082504 wrt i?\nAnswer: -9804*i**2 + 4*i - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1444\/565 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -47. Let y = i - 23. Let t = y + -27\/2. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/4 - 7*r**3\/3 + 3*r**2 - r + 2. Let p be (-6)\/(40\/(-25) + 2 + (-7)\/5). Give v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*o = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4732 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b - 3393 = 6113 for b.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (4 + 0 + -13).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/24)\/(63\/12 - 5). What is the second smallest value in -5, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*s - 4*c + 1, 0 = s + 5*c + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65394 divided by 173?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bf3 (base 16) in base 8?\nAnswer: -25763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13892, -14046, -14200, -14354, -14508?\n\"Answer: -154*f - 13738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 6*y - 7. Let q be b(3). Let k be (-4)\/q - (-128)\/68. Suppose -g + 4*t - k*t = 956, g = 3*t - 960. Round g to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 7. Let n(t) = 1. Suppose 3*l + 3 = 4*l. Let x(g) = 0 - 1 - g + l + 8. Let m be x(9). Give m*z(v) - 5*n(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82810 divided by 5?\nAnswer: 16562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, -18, -204, -538, -1062, -1818?\nAnswer: -2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121211101112 (base 3) in base 13?\nAnswer: -b7a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, 1 j, and 1 x when four letters picked without replacement from ejxxmexxmsbb.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249560413 and 4937.\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkqqqskccqzqzqqlsqz. Give prob of picking 1 s and 1 z.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 - -18. Let i = o + 68. Are i and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0 (c) -4838 (d) 1 (e) 7890\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*q + q = -22, -17 = l + 5*q. Suppose 2*h + 0*h = l. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*i**2 - 192*a + 59*i**2 wrt i.\nAnswer: 4*a*i + 118*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.954 take away -19?\nAnswer: 19.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 149 and -0.3.\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r. Let v(s) = 19*s. Determine -4*q(l) + 5*v(l).\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Let s(d) = 3*d**3 - 2*d**2 - 2. Let r(g) = 0*g**3 - 7 + 9*g**3 + g**3 - 7*g**2. Suppose v + 6 = u, 0 = v - 3*v + 2. Give u*s(c) + z*r(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*y = -25, 2*q + 11 = q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -137 + -40?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/4 - 21*u**4\/4 + 1249*u**3\/4 + 31565*u**2\/4 + 14826*u + 7252 = 0. Calculate u.\nAnswer: -28, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46890 + 171?\nAnswer: 46a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*o + n - 32, -2*n = -o + 3. Let h(v) = -73*v + 2. Let d be h(2). Let f = -132 - d. What is the remainder when f is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/737 and 37\/187.\nAnswer: 12529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 97. What is the nearest to c in 5, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**6\/120 + 2*w**5\/5 + w**4\/8 - 13*w**3\/6 + 8*w**2. Let m be c(-23). Suppose m = -v + 4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 285656 = 4*m, -v - 214243 = -46*m + 43*m. List the prime factors of m.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/4 - 9*m**3 - 78*m - 16. Find the first derivative of x(z) wrt z.\nAnswer: -3*z**2 - 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d**2 - 4*d + 36. What is p(4)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*q + 20, 9*c - 10*c = -3*q + 15. Suppose 4*d - 5*m - 20 = 5*d, -5*m - 20 = -d. Let p be 1 - -1*d\/1. Solve -p - q = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 9. Let a(z) = -9*z. Give a(d(u)).\nAnswer: 18*u + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 26*d**2 + 6*d + 6. Let p be u(-4). Suppose -p = -4*c + 342. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4*1\/3. Let x = 120132\/5 - 24026. Sort 0.11, u, x in increasing order.\nAnswer: 0.11, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 40356721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5096, -10191, -15288, -20387, -25488?\n\"Answer: -s**2 - 5092*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1116 - 5584\/5. Let w = -1 - -1. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103338 less than or equal to 620027\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3195 and 1305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -455, -1631, -3399, -5759, -8711?\n\"Answer: -296*l**2 - 288*l + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1745 and 36994?\nAnswer: 184970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 30 = 4*m. Let b(n) be the second derivative of n**4\/12 + 2*n**3 - 7*n**2 - 10*n - 2. Let s be b(m). What is s rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 3*d**2 + 3*d + 6. Calculate f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:41 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -179797.1 rounded to the nearest one hundred?\nAnswer: -179800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 37803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 3a402?\nAnswer: -3a403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-33 + 52 + -21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 9*n + 58. Let h be d(14). Calculate the common denominator of -3*8\/h + (-22)\/(-18) and -9\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/7, -0.2, -2, 26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 11*c + 8. Suppose -4*b + 5*n - 35 = b, 3*b = -2*n - 41. Let d be j(b). What is the highest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 98. Suppose -2*s - 4406 = -l*v, 4*s - s + 8812 = 4*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -350, -545, -738, -929, -1118?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - -103. Suppose -7*p = -4*p. Suppose p = -4*k + 53 + 11. What is the highest common factor of k and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*a - 982558*a**2 + 1965109*a**2 + 68*a - 982410*a**2.\nAnswer: 141*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o - 8 = 2*s - 59*o, -2 = 2*s - 5*o + 13 + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1190*i**4 + 4*i**3 + 133544*i**2.\nAnswer: -28560*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Let p(y) = y**3 + 6*y**2 + 6*y + 1. Let o be p(-5). Let f be (o\/5)\/((-2)\/10). Which is the smallest value? (a) 2\/7 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -9. Let u(o) = -o**3 + 7*o**2 - 3*o + 7. Let r be u(c). Suppose -y + r = -l, y + 4*l - l - 13 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2936 + 2946. What is the lowest common multiple of p and 1265?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 7121477.\nAnswer: -284859.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + w + 1. Suppose -1085 = -45*j - 1040. Let k(n) = 13*n**3 + 13*n**2 - 13*n - 13. Determine j*k(o) + 13*u(o).\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -39.32. Let d = t - -4.7. Let h = -0.02 + d. What is the closest to -1 in h, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 3*c)*(c + 2*c - c) + (0*c + 0*c + 3*c)*(-2*c - 3*c + 2*c) + 12*c**2 + 5*c - 5*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 less than 2343751.33?\nAnswer: 2345439.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -20. Suppose -41*g + t*g = 4. Suppose 117*z - 119*z = -g. Put z, 5, -4 in decreasing order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scmc when four letters picked without replacement from {v: 6, e: 3, c: 1, n: 2, s: 2, m: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -175046 - 66?\nAnswer: -175134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3999, 8, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5.5 (b) 25220 (c) 3 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-4))\/(21\/56). Suppose d*w + v = w + 7, 2*w = -3*v + 18. Suppose -c + 52 = w*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -1720.\nAnswer: -19\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169112 is divided by 174.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9538*s**2*u**3 - s**2*u + 20*s*u**3 - s*u**2 - 82*s*u - u**3 - 610 wrt u?\nAnswer: -57228*s**2 + 120*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13426201.\nAnswer: 13426201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.884, 2\/15, 22 in descending order.\nAnswer: 22, 1.884, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -4. Let o = t - 0.6. Let b be -1 + 1 - 6\/(-9). Put 0.5, o, b in descending order.\nAnswer: b, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-65)\/9 + 10\/45. Let p(b) = -b - 4. Let j be p(g). Suppose -4*m + 4*l = -36, 48 = j*m + 2*m - 2*l. Solve 5*d = 5*h - 40, -5*h + 0*d - d + m = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i - 24. Let w be s(8). Suppose 11*f - 10*f + 5*v - 33 = w, -3*f + 99 = -4*v. What is the highest common divisor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 1148?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27070916 divided by -6767729?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5 - 3. Let l = -2 - b. Find the second derivative of -3*u - 4*u**2 + u - u**2 + 2*u**l wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 50*u - 12. Let f be q(6). Let d = -2164 - -2272. Calculate the highest common divisor of f and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.06 = -7168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + (0 + sqrt(432))**2 + sqrt(432) - sqrt(432)*-1*-4 - (2 + (sqrt(432) + 1*sqrt(432))*-5)**2))*5 + 2.\nAnswer: -213863 + 2220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000612196 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11163988*t**2 - 2552143*t - 1?\nAnswer: 22327976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0647662 and -749348?\nAnswer: 749347.9352338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*c - 3 - 6, 5*d = 3*c - 17. Solve 0 = -c*n + 5*g + 15 + 22, -13 = -n + 2*g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*r + 2 - 2*r + 1 - 1 - 4*r + 2*r + 3*r + (4 + 0 - 6)*(2*r + 2*r - 6*r) + 6*r + r - 9*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1740*w + 55379. Give i(32).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 7\/((-14)\/758). Let s = 489 + n. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 4 + 3*p - 44*p**2 + 2*p**3 + 37*p**2 - p**3. Give f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5201 times 0.5?\nAnswer: -2600.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -327.8004991+0.2\nAnswer: -327.6004991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 19. Suppose -u - h = -4. Suppose 5*j + 2*o = 2597, o - 357 = -u*j + 681. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -395*f + 583*f - 286*f as l*f + x and give l.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -18*b**3\/17 - 14*b**2\/17 + 40*b\/17 - 8\/17 = 0.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from jzzfduw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 27. Suppose s*o = -0*o. Suppose -2*j - 888 = -4*f, o*f = -3*f - 4*j + 677. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -940, -1, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*y**2 - 3*y**3 + 8*y**3 - 7*y**3 - 2*y to j*y**3 + i + q*y**2 + f*y and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -46*h - 4. Let y(t) = 485731 - 485731 + 8*t. What is b(y(f))?\nAnswer: -368*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -3, 1\/2, -263574?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463 - 457 = l - 2*v, -5*v = 16*l + 52 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*x + 110*x + 104*x + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/7 + 0 + 4 + -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times -44.763\nAnswer: -5.81919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -5.8.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8889313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1955 and 281819.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 114*y**2 + 43*y + 230. What is the tens digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 1)*(-c + 2*c - 1 - 5)*(7*c + 6 - 10*c - 56).\nAnswer: 9*c**2 + 96*c - 900","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 16*p**2 - 17*p - 3. Let t be k(-17). Suppose 5*o - 1 = 9. Let q be (1 - -3 - o) + -2. Sort 11, t, q in descending order.\nAnswer: 11, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose z - 1 = 2. Suppose u*y - y = -z. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-2) - (-21 + -9306) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1608.87 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69889 is divided by 11632.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 r when three letters picked without replacement from {e: 2, j: 2, y: 1, r: 2, v: 1, l: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from aairaahuauaua.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656857?\nAnswer: 19, 29, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2091? (a) -2\/3 (b) -4 (c) -56 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 4. Let q(x) = 1. Let u(s) = f(s) + 4*q(s). Let d(t) = 35*t**2. Determine d(u(h)).\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 348*v**2 - 20184*v + 390224.\nAnswer: -2*(v - 58)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-14))\/((-4)\/24). Suppose 4*j = -0*w + 4*w, -2*j = r*w. Find g, given that j - 2\/9*g + 4\/9*g**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/105)\/((-94)\/6). Let t = q + 461\/47. Let h = 47\/5 - t. What is the third biggest value in h, 3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - 161. Let r = 5171 - 5348. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 30.939. Is s at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 5\/2*y**2 + 62 + 10*y**3 + 0*y. Factor p(i).\nAnswer: 5*i*(6*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -96*b + 687. Let c be a(7). Solve 0 = x + c - 9 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453731 divided by 10?\nAnswer: 1453731\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0*-168\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 149 - 27*w**2 + 29*w**2 - 4*w**3 - 797.\nAnswer: -4*w**3 + 2*w**2 - 663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-357)\/(-31059))\/((-2)\/(-1) - 22\/12)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1 + 2 - 1 - s. Suppose -3*p + 4*p = -5. Let c(a) = -a + 3. Calculate p*y(z) + 3*c(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 14260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-12)\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 0.2 (c) 56147 (d) -2\/37 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 215847165.\nAnswer: 2\/215847165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14.2. Let u(x) = -x**2 + 6*x + 3. Let n be u(7). What is the fourth biggest value in n, 0.5, z, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-5 + 17 + -33)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1021*d - 124574. What is i(122)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48965 is divided by 6989.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 5) to base 14\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1197, 3991, 8643, 15147, 23497, 33687, 45711?\n\"Answer: -h**3 + 935*h**2 - 4*h + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3\/5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) - (-39)\/4. Suppose -2*o = -v + 1249, -o - 4*v + 175 = 804. Does 18 divide (-8)\/y*o\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 3) + 0*2\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -368*x**2 - 37*x - 24*x - 3 + 6 + 4*x + 364*x**2 as o + f*x**2 + i*x and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*-1)\/(sqrt(4) + -6*sqrt(4)*-2) - (-2 + (-2*-1*sqrt(133))\/sqrt(7)).\nAnswer: -23*sqrt(19)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:19 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 3113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d - 37. Let w be v(-3). Suppose 4*x + w*n = 850, -11*x + 655 = -8*x - 5*n. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by -6?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -2317734502.\nAnswer: -2317734501.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 - -186. Suppose 342 - 42 = a*g. Suppose 4*t + y - 162 = 0, -3*y + y = 4*t - 164. Calculate the highest common divisor of t and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 17*a + 212. What is the remainder when 177 is divided by b(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d9 - -47b?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = v + 3*h, -8*v + 28 = -12*v - 4*h. Let q be 26\/22 - -3 - v\/(-33). Solve q*d - 4*j = -8, -5*j = d + 1 + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, x: 1}. Give prob of picking 1 w and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 10) in base 4?\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*l - 2*t + 6, -2*l + t + 15 = 0. Let k be l\/12*(0 - 4). Sort 1, k, 2 in ascending order.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*d + 11 - 6 + 323*d - 5.\nAnswer: 418*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27) - 7864\/90. Let u(t) = t**2 + 4*t - 8. Let a be u(8). Let b = r + a. Is b bigger than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 29, 22, 15, 8, 1?\n\"Answer: -7*w + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -349*a - 3*a**2 + 361*a + 5*a**2 - 2 + a**3 to the form y*a**3 + l + c*a**2 + h*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {i: 1, m: 3, a: 2, d: 7, j: 6}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4 + 7*f - 8*f + 1. Let a be v(4). Let k(t) = t**2 + t + 1. Let p(m) = 3*m**2 + 4*m + 4. What is a*p(i) - 4*k(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12764*(-8)\/(-32))\/(2 + -1). Suppose -2*d + g - 3*g = -6414, -3*g = -d + a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ububbbubbbbubu. What is prob of sequence ubuu?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 95071164 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1999*z - 999*z - 987*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 10*x**2 - 14*x - 16. Let w be 2\/(-6) + 64\/(-6). Let y be m(w). Calculate the highest common divisor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4))\/o**(2\/9)*o**(-1\/3)\/o**4)\/((o**(-5\/2)\/o**(-2))\/(o**0)**(1\/22)) assuming o is positive.\nAnswer: o**(-127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 224 = -60*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015021 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c - 55*c - 1512 = 578 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-345)\/30 + 12 - (-19)\/(-30). Which is the closest to 0.1? (a) 0 (b) y (c) 5\/3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1\/4)\/k)\/k*k)\/k)**4*k*k**(-2\/3)*k**9\/k assuming k is positive.\nAnswer: k**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:05 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67069 and 1410?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 217, 323, 419, 505, 581?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 8*n - 7. Let w = 18 + -13. What is the third derivative of -7*o**n + w*o**2 + 0*o**6 - 3*o**6 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:41 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*j**4 + 2*j**3 + 2499*j**2 - 3*j + 71284699 wrt j.\nAnswer: -88*j**3 + 6*j**2 + 4998*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 1.21392?\nAnswer: -1.578096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4103 (base 9) in base 11?\nAnswer: -2288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 + (-5600)\/875\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66882, 134243, 202564, 272325, 344006, 418087?\nAnswer: 495048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 7. Let j be (12\/3)\/(-56) - 1014\/(-84). What is m(j)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/34)\/((-4)\/(4\/(-4))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -114779, -114787, -114799, -114815?\n\"Answer: -2*r**2 - 2*r - 114775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*d + 2 - 0, 3*d - 17 = p. Let n(g) = 4*g**2 - 5*g + 2. What are the prime factors of n(d)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -539 - -555. Suppose -5*j + 4*w = -27, 3*j - 2*w + 7*w + 6 = 0. Suppose p - l = -j*p. Solve -5 = -p*r + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2103300022 + 20?\nAnswer: -2103300002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -21*o + 10. What is the tens digit of 171 - (-4 + o - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7 - 1. Suppose f*b + 227 = 755. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b - 35*b = 92*b + 2816 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from ddyddydyyyddddydhd?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2, 9.\nAnswer: -23, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) 6 (c) -0.3 (d) -0.4 (e) 0.5 (f) 25\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -1. Let v = -15.158 + 14.158. What is the closest to 2 in l, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 10*a - 15. Solve 0 = -3*q + 4*n - 6, -5*q - a*n + 17 + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 9*d**2 + 7*d + 2. Let u be l(9). Is (-8)\/52 + 129165\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 8. Suppose h = -l - 2*l. Let r(b) = -6*b. Determine r(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-40))\/(2\/(-44)) - 54\/(-72)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -15514035?\nAnswer: 15514041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 2*m)*(m**2 + m**2 + 0*m**2) + 5*m**3 - 2*m**3 - m**3 + m**3 + 3*m - 3*m + 5*m**3 - 4*m**3 + 0*m**3 - 297*m + 21*m**2 - 2*m**3 + 2 + 297*m.\nAnswer: 4*m**3 + 21*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/12)\/(1\/87). Let v = 0 - s. Let z = -42 - v. Calculate the greatest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-129)\/(-172) - 19\/4) + (3 - -43658) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/18)\/(-1)*1)\/(159\/((-1146708)\/601))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1004 - -1001. What is the fourth biggest value in -0.05, 0.2, -74\/3, y?\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 31228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 350 - 386 + 3*j + 40*j**2 + 601 to the form x*j**2 + o + s*j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117)\/(sqrt(36)*-6)*3.\nAnswer: -5 - sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 298659, 597323, 895989, 1194657, 1493327?\n\"Answer: q**2 + 298661*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = t - 2, 5*i - 5*t + 30 = 0. Let s be ((0 - 0) + i)*-16. Calculate the greatest common factor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5*y**2\/2 - 37*y - 1. Let t be x(8). Solve 2*l = -3*c + 11 - 2, 0 = -l - t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 8380?\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - 4*h**3 + 2*h**3 + 2*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(4)\/sqrt(2))**2) + 3 + 1*sqrt(50).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -30*(-3 - -4 - (-1)\/(-3)). What is the units digit of 547\/(-10)*-2 + 8\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3361*d - 3358. Let p(f) = 10084*f - 10054. Let x(v) = 3*p(v) - 10*z(v). Find the first derivative of x(j) wrt j.\nAnswer: -3358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*d - 948*d = -433*d - 417*d + 1752 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.57. Let j = w - -0.43. Let b(y) = 5*y + 196. Let k be b(-40). What is the nearest to 0 in -6, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 138, -4, -142?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6}. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -411 - -472. Put j, -1\/2, -4, -1 in descending order.\nAnswer: j, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*y + 43, 3*d = 4*y + 6 - 46. Let x = d + -6. Is 10 a factor of (-4)\/18 + (-688)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 18*k**3 + 33*k**2 + 287*k + 555. What is l(-3)?\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 46*d - 21. Let o(w) = 2*w**2 + w. What is -i(t) + 2*o(t)?\nAnswer: 3*t**2 - 44*t + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 + 1 = 0, a = 4*w - 22. Suppose 810 = -5*i + 4*x, -622 = 4*i - 3*x + w*x. Let y = i + 299. What are the prime factors of y?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62934.\nAnswer: 2, 3, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 42 - y + 48. What is the remainder when r(-7) is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1717610071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 17*w = 0. Which is smaller: w or 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Suppose 0 = -4*u - d + 30, 0*u - d - 18 = -2*u. Suppose -u*r = -10*r + 4. Solve o + s = r*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 6:39 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 + 333. Calculate the greatest common factor of v and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(931) + 1 + -2)*-6.\nAnswer: -42*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -12. Factor 8*y**2 + y**r + 3*y**5 + 0*y**2 - 6*y**3 - 2*y**3 - 4*y**4 - 4 + 4*y.\nAnswer: 4*(y - 1)**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -459 - -463. Let w = -493 - -485. What is the smallest value in w, 2\/13, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36296, -145446, -327464, -582350, -910104, -1310726?\nAnswer: -1784216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g)**49*(g\/(g*(g\/(((g**(-7)*g*g*g)\/g)\/g*g))\/g))\/((g\/(g\/(((g\/(g*g**(1\/14)*g))\/g)\/g)))\/g) assuming g is positive.\nAnswer: g**(-2071\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 13. Let g be (2\/(-4)*w)\/2. What is the units digit of (4 + g - 5)*-39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 45. Suppose -2*n - 8072 = -q*w, 0*w - 12118 = 3*n - 2*w. Let i = n - -6969. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -22359.66.\nAnswer: -22359.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*q - 43. Let d(m) = m**2 - m. Let p be d(-3). Let g be 0*3\/p + 9. What is the highest common factor of g and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1940466 (base 11) to base 16.\nAnswer: 320d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -138221.538 rounded to the nearest 10?\nAnswer: -138220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**2 - 1406 - 915*t + 334*t + 77*t wrt t?\nAnswer: -4*t - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*q + 2110*g**2*q - 2*g*q - 7*g - q + 10 wrt g.\nAnswer: -12*g*q + 4220*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2994 + 0.0224. Round o to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 143184285.\nAnswer: 715921425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v - 1. Let z(u) = 4*u**2 + 8*u + 12. Let g = 48 + -49. Let o(l) = g*z(l) - 12*b(l). What is the second derivative of o(r) wrt r?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6 and -64\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((4 - 0) + -4). Solve 5*z - 6 - 9 = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388281721.\nAnswer: 19, 509, 143551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3812803 rounded to the nearest 1000?\nAnswer: -3813000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let j(x) = -9*x - 8. Let z(k) = -5*k - 4. Let p(d) = 4*j(d) - 7*z(d). Let n(r) = 3*o(r) - p(r). Find the first derivative of n(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + o = 2 + 6, 0 = 3*v + o + 16. Let i be v*5\/(-10) + 6\/(-2). Factor 0 - 1\/3*u**3 + 1\/3*u + i*u**2.\nAnswer: -u*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 343 - 310 - (41 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-2*sqrt(252) + -1)**2 - ((2*sqrt(77) + sqrt(77))*5)\/sqrt(11)) + (-1*sqrt(6048))\/(sqrt(216)*-1)).\nAnswer: 44*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 = -10*z - 222 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s - 1. Let c be q(-1). Let y = -9 - c. Sort 0.3, y, -4 in descending order.\nAnswer: y, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/12 (b) 0.5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 5*w**2 - 2*w - 4. Let n be q(-5). Let x be (-16)\/n*(-9)\/6. Solve d + 0 = -v - 5, -19 = 3*v + x*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100 + 17 - 72) + -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - -2.77. Round l to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10316040.\nAnswer: 2, 3, 5, 7, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -569 + 572. Solve -p - 2*f + 1 = 0, -h*f = -2*p + 6 - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -38 - (-2 + 5 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -4. Suppose 3*r - 6 = -3*p, p - 4*r = -3*p + x. Suppose 20 = -p*m + 8. Sort 1\/5, m, -3\/4 in descending order.\nAnswer: 1\/5, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 + 141*y**2 + 32*y + 108. Let p be f(-28). Sort 2, -2, p.\nAnswer: p, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9335 is divided by 9323.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-990) + 83527\/(-5555).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*336\/(-72)*9\/(-63)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 10. Let c(a) = -16*a - 51. Let j be ((-2)\/(-4))\/(5\/(-110)). Let k(w) = -w + 7. Let l be k(5). Let i(n) = j*o(n) + l*c(n). Determine i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-5)*(-25)\/10. Let o(h) = x*h**2 + 7*h**2 - 14*h**2. Let w(j) = -6*j**2 - 12. Let v(z) = z**2 + 1. Let d(t) = -12*v(t) - w(t). Determine o(d(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54820.\nAnswer: 2, 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1168*j + 19759. Give l(-20).\nAnswer: -3601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2*j**5\/5 + 11*j**4\/2 + 60*j**3 + 196*j**2 + 272*j - 614. Factor s(v).\nAnswer: -2*(v - 17)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 3*d**2 - 3*d + 4. Let s be m(-4). Suppose s = -4*b + 9 + 23. Let o(a) = a. List the prime factors of o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 83*k. Let i(z) = 177*z - 11. What is a(i(m))?\nAnswer: 14691*m - 913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6796 by -1.\nAnswer: -6796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124.44 + 2.44. Let t = 163.4 + d. Let s = -41 + t. What is the closest to 1\/2 in 0.2, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h + 5*w, -6*h + 3*h + 16 = 4*w. Let y be (0 - 1) + 5\/7. What is the nearest to 1 in h, -4, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6) - 1\/(-3). Let d be 3*l\/1 + 598\/(-1). Let z = -8389\/14 - d. Calculate the common denominator of -27\/2 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 51154*u**4\/5 + 4092*u**3.\nAnswer: 2*u**3*(u - 5115)*(5*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = a - 8. Let w = -4947 + 4947. Solve -3*f + a = -5*g, w = 4*f - g - 3*g - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**(-1\/12))**(-1\/50)\/(y*y**(-5)*y*y\/(y*y\/y**3))**(-18) assuming y is positive.\nAnswer: y**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*q + 25, 2*q + 0 = 3*t + 10. Sort q, -2, -5 in descending order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3420)\/(-72))\/(5\/328). What is the highest common divisor of i and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/63)*y)\/(y\/y**(-4)) assuming y is positive.\nAnswer: y**(-191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/3 + 71*p**3\/2 - p**2 + 6. Let o be y(-26). Solve o*a + 20 = 0, -2*x + 8 = -x - 3*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 19*h**2 + 25*h - 151. Let t be a(-17). Solve v + 6 + 14 = -3*o, -t*v = -2*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 18*d**2. Let t(q) = 6*q**2. Calculate -3*m(k) + 8*t(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - (-15 + 1) - 15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489 + -274. Let o = h - 122. Calculate the remainder when o is divided by 41.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from zhzzwwhzbhzzww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*j - 2429 = -3429 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -12, 12\/134531, -25 in descending order.\nAnswer: 12\/134531, -0.3, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 9*r + 18*r - 563220. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1 - (8 + -486). Suppose -4*h = k - 561, -5*h - 3*k = -r - 218. Is (10\/(-15))\/((-2)\/h) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnvnppnpnnt. What is prob of sequence tt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 108\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 2*b**2 + 3*b + 8. Let m be x(-2). Let a be 4\/m*(-57)\/(-38). Solve -5 = -a*w + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 + 2*m**2 - 7*m + 4. Let q = 89 - 92. Let d(b) = -4*b**3 + 3*b**2 - 15*b + 9. Let z(r) = q*d(r) + 7*s(r). Factor z(t).\nAnswer: -(t - 1)**2*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 8*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-2*2\/752)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let i(y) be the third derivative of -y**8\/2520 - 53*y**5\/60 + 2*y**2 + 5. Let h(s) be the third derivative of i(s). What is r(h(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96721, 96784, 96857, 96946, 97057, 97196, 97369, 97582?\n\"Answer: j**3 - j**2 + 59*j + 96662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 37 - (-3 - -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k + 4 = 0. Find the third derivative of k*i**4 + 3*i**2 + 8*i**4 + 3*i**4 + 5*i**6 - 14*i**4 wrt i.\nAnswer: 600*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004017724848 rounded to 6 dps?\nAnswer: 0.004018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-2196)\/120) + -11.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -20 + -3 + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62254 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 795*q**2 + 186. Let x(v) = -398*v**2 - 94. Let c(b) = 4*j(b) + 7*x(b). Differentiate c(z) with respect to z.\nAnswer: 788*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97365, 97365, 97367, 97371, 97377, 97385, 97395?\nAnswer: 97407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from {p: 2, b: 1, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7668 and 2081160?\nAnswer: 147762360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose -b*m - 2*o = -18, m + 0*m - 10 = 5*o. Solve 2*h - 3*s + 12 = 0, -5*s + 16 = -m*h + 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 759*d**4\/4 - 2*d**3\/3 - 19*d**2\/2 - 203*d - 7657. What is the second derivative of t(q) wrt q?\nAnswer: 4554*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1262270?\nAnswer: 1\/252454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79563065*l**3 + l**2 + 122935415 wrt l?\nAnswer: 238689195*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*k**3 + 6*k**2 - 18*k**3 + 58*k**3 + 8*k**4 - 1 + 3*k in the form n*k + l*k**2 + m + o*k**4 + z*k**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3805728555 to the power of 1\/3, to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1310538188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -8. Suppose 0 = 5*q + h - 58, j = -3*h + 15. Let d be ((-22)\/(-4))\/(2\/4). What is the highest common divisor of q and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 2, r: 1, b: 2, i: 1}. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59817 is divided by 1628?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddjzddjnmz. Give prob of picking 1 z and 1 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - 2*sqrt(1573)*6) + 1 + sqrt(117) + 1*sqrt(208).\nAnswer: -114*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*s - 46 = 0, 0 = -4*i + 4*s - 2*s - 38. Let u(w) = -w**3 - 8*w**2 - 8*w + 8. What is the units digit of u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 - 3869565*h - 7739142 = 0.\nAnswer: -2, 1289857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 28*a + 51. Let z be h(-29). Let p = 15.7 + -15.6. Is z at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*g = 4*b, -5*g = -15*b - 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 10*s**2 - 15*s + 12. Determine m(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-6)\/30)\/((-18)\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -36. Let b be (2 + 0)\/2*-2. Let n be b\/(-8)*(0 + -1). Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000197792 to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -18.9999966. What is i rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4428 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1665*x**3 - 7*x**2 + 7*x - 1. Is 8 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 11 = -11 + 112. Let m(c) = -2*c - 30. What is m(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 55 = -215. Suppose -a = -2*o + u, 4*o - 54 = -u - 2*u. What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-23 + -29 - -62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -0.4, 251\/10, -3, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a second?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10107 or 9290?\nAnswer: 9290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 34 + 32 - 95 + 29. Suppose 5*f - 3*o - 20 = -0*o, 0 = -4*o - 20. Let s be k(f). Solve -s*t + 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166270 is divided by 83048.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646888 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*(-36)\/198)\/((-4)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 7) to base 13\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, u: 4, y: 5, w: 1}. Give prob of sequence wuyy.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-24) + (-34)\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + (-5 - -10) - -54?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 0. Let b = 2 + -3. Let i = 5 - 5. What is the nearest to i in x, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/5)\/s)\/((s**(-2\/21)\/s)\/s))**(-3\/38)*(s\/(s\/s**(-1))*s*s*s**9)**(-32) assuming s is positive.\nAnswer: s**(-425631\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q**4\/21 - 362*q**3\/21 + 1556*q**2\/7 - 1174*q\/3 + 560\/3 = 0.\nAnswer: -56, 1, 35\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -109. Suppose -10*z + 36 = t. Which is smaller: z or -14\/19?\nAnswer: -14\/19","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 mmummmuuuum?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 93 + (-14 - (1 - 8)). Suppose -5008 = -i*c + 78*c. List the prime factors of c.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**3 - 10*i**2 + 6*i - 13. Give q(4).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/12 and 17\/177.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-8)\/(-6)*42\/(-28) + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2599 - -2599.00011394. What is o rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(320)*-1 + -5 + sqrt(320)*1*-6)*-2*1)**2.\nAnswer: -125640 - 4480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - -1 - (-3 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 2*a**3\/3 + a**2 - a - 177. Give n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*u - 2*f, f - 16*f = -4*u + 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 - -181. What is the biggest value in j, 0, -12, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - 4. Let a be ((-8)\/12)\/(r\/6). Let p be (-28)\/(-12) + a\/(-6). Solve -p = 3*v - 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/3 + 274*u**4\/3 + 9520*u**3\/3 + 9248*u**2\/3 = 0. Calculate u.\nAnswer: -68, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50159205, 50159208, 50159211?\nAnswer: 50159214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 5 - 4)*(0 + 0 + 1) + 5 - 1 - 2)*(2 - 5 + 2)*(8*u**3 + 9*u**3 - 7*u**3).\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(832) - -3*(sqrt(832) - sqrt(832)*2) - ((1 + sqrt(832))*1 + sqrt(832))) + 4)**2.\nAnswer: 4224*sqrt(13) + 479353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14*h - 85. Let z be x(6). Let f(u) = 160*u**2 + 3*u + 4. List the prime factors of f(z).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(-1*sqrt(80)))**2 + (4 + -5 + sqrt(52))**2.\nAnswer: -4*sqrt(13) + 861\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -568.88 + 111.49. Let c = -462 - w. What is c rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2, -4\/5, -100\/11?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28063390184.9 + 6.8\nAnswer: -28063390178.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (0 + sqrt(363) + -2)**2).\nAnswer: -44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12736476 divided by 36\nAnswer: -353791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 4) to base 10.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3780 and 25224?\nAnswer: 7945560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*u + 3*u + 65, -5*u + 3*y - 41 = 0. Let h = 32 + u. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609 = 7*l + 238. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -193 in ascending order.\nAnswer: -193, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18773334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 + 163. Suppose 3*n = h*r - 15*r + 47271, -5*r = -2*n + 31514. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 20*z**2 - 19*z + 45. Let i be a(19). Calculate the greatest common factor of i and 1215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 30 = 31*s - 21*s, -2*o = 3*s - 0*s + 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5775142463 + -1?\nAnswer: 5775142462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.245813 rounded to 1 dp?\nAnswer: 975.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0206 - 0.0794. Let d = -4.93 + -0.07. What is the biggest value in d, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkkwwkk. Give prob of picking 1 w and 1 k.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -803 + 803.1. Sort i, -2, -2\/11, 5, -49 in decreasing order.\nAnswer: 5, i, -2\/11, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.957 * -0.2.\nAnswer: -0.3914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8900763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55566424*r**4 + 64611421*r**2 wrt r.\nAnswer: -1333594176*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3417?\nAnswer: 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 2 - (-1 - -56). Let r = g + 63. Solve 0*w + r*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i + 36. Give o(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2370 = 5*h + 3*o, 3*h + 932 = 5*h - 2*o. Let g = -195 + h. Suppose 0 = -5*t + 7*t - g. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.71?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/4 + (-4)\/16. Find the third derivative of -7*a**6 - 4*a**2 + 3*a**c + 3*a**6 wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -30800*n**3 - n**2 + 2*n + 5. Let v(g) = -30800*g**3 - g**2 + 2*g + 4. Let j(t) = 5*d(t) - 6*v(t). Let b be j(1). Round b to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9630745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4657*f**3*r**4 + 2*f**3*r**2 + 835081*f**3 wrt r?\nAnswer: 18628*f**3*r**3 + 4*f**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.293655 rounded to 2 decimal places?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, p: 2, x: 1, o: 1}. What is prob of picking 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010573 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -17*f - 1. Suppose 0 = -20*w - 35 - 25. Let s(a) = -10*a - 1. Let n(m) = w*p(m) + 5*s(m). Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Suppose m = f*m - 6. Suppose -m*p = -3*w - 27, 4*w + 25 - 4 = p. What is the least common multiple of 7 and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 49*j**6\/3 - 938*j**5\/5 + 884*j**4 - 6536*j**3\/3 + 2944*j**2 - 2048*j - 550. Suppose h(q) = 0. Calculate q.\nAnswer: 1, 2, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115590 and 54480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-493*l - 225009 + 225009)*(0 - l + 0)*(3*l + 0 + 0).\nAnswer: 1479*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - 1212?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 516 - 512. Solve 2*y + 21 = -3*b, 4*b - y = x*y - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -1 - (5 + -7). Let o(n) = n + 5. Calculate the remainder when o(0) is divided by (12\/15 - 0)*i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 319*b + 11. Is y(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away -5635?\nAnswer: 5636.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -40*z. Is n(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(7)) + 0.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r + 5. Let q(i) be the second derivative of i**3\/6 - i**2\/2 + 3*i. Let p be q(-4). Is x(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354466893*b**4 - 1049779*b**2 - 11*b - 2 wrt b?\nAnswer: -8507205432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2, 5, -0.4, 18\/67?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x - 5*x + 25935 = 0. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:04 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q - 4. Let b(t) = -11*t + 8. Let p(z) = -3*b(z) - 5*y(z). Let s(j) = -j + 1. Let o be s(-3). Calculate p(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 2, b: 1, u: 1}. Give prob of picking 1 s and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13338 - -13530. What is the least common multiple of h and 912?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2958110563 - 0.5\nAnswer: -2958110563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*24460271.\nAnswer: 97841084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -21*a + 2. Let o be f(-3). Let d be 96 + ((-8)\/4 - -1). Let g = d - o. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.4 - 25.4. Let l = 0 + 0.3. Sort g, l, -0.4 in increasing order.\nAnswer: -0.4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 29*l**4\/24 - l**3\/3 + 5*l**2. Is 7 a factor of g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 + 6*i + 8. Determine z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*w - 974*w**2 - 145*w - 70 + 972*w**2 to the form f*w + r + q*w**2 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -192 and 4.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138, -329, -548, -771, -974, -1133, -1224?\n\"Answer: 4*g**3 - 38*g**2 - 105*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3145, 21, 0 in decreasing order.\nAnswer: 3145, 21, 19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -1\/20*v**5 + 0*v + 3\/8*v**4 + 4*v**2 + 0 - 5\/2*v**3. Let p(y) = y**2 + 1. Let m(o) = -4*p(o) - x(o). Give m(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015187222 rounded to 6 decimal places?\nAnswer: 0.001519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 35*u + 97. Solve u*k = -3*h - 12, 4*h - 3*k = -0*h + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 5 - 5)*(-2*i**2 - 1 + 1) - 11*i**4 + 4*i**4 - 2*i**4 + (i**4 + 0*i**4 + 0*i**4)*(1 - 5 + 2) + (-i**3 + 4*i**3 + 0*i**3)*(-2*i - 2*i + 0*i).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*a**2 + 0*a**2 + a**2)*(-5 + 0 - 2)*(0 + 2 + 4)*(-1 + 2 - 3) in the form x*a + k*a**2 + z and give k.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(3*w**4 + 3*w - 3*w) + (4*w - w**2 + 0*w - 13*w)*(-4 + 4 - 2*w**2).\nAnswer: -4*w**4 + 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11928 by -71.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5441 (base 14) in base 9?\nAnswer: -21868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230602 (base 10) to base 7.\nAnswer: 13313522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161388*j**5 + 3611017*j.\nAnswer: 3227760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1159138513.699999796 - -1159138511. Let c = 2.7 + s. Round c to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/1099, 1\/5, -67, 1\/6?\nAnswer: 3\/1099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.66, -5, 1\/458, 2?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.918 - 36. Let f = j + -0.018. Put 28, f, -0.2 in increasing order.\nAnswer: -0.2, f, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 1. Let h(t) = -6*t. Let d(a) = h(a) + 5*u(a). Let i(g) = -g**2 - 10*g + 13. Let j be i(-11). Let l = -6 + j. Calculate d(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r - 28. What is m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50250539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 24*b - 56. Let o be y(-26). Is o*((-3201)\/4)\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 209?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19380 + 15252?\nAnswer: -4128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16316?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4653.645119 + 3.651119. Let c = j + 4654. Let t = 4 - c. What is t rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928224 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 9 + 1 - 51*s to the form c*s + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -3*f + 1. What is the highest common divisor of 140 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + f + 2 = -3, 14 = 4*z + 2*f. Suppose -1072 = -g + t + z*t, -4*g + t = -4383. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2)*o*o**(-2\/17))**(-14) assuming o is positive.\nAnswer: o**(-567\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/5 - 211239*q\/5 + 1478624\/5 = 0. Calculate q.\nAnswer: 7, 211232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + f = 4, 0*a + 2*a + 4*f = 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10225 - -5?\nAnswer: 10234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*g - 13 - 36*g**2 - 39*g**3 + 18*g**3 + 18*g**3 + 13*g**3 + g**4.\nAnswer: (g - 1)**3*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*y + 13 = 0, 8*o - 5*y - 189 = -234 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j + 6. Let s = 19 + j. Calculate the greatest common divisor of s and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/14*0\/(-1))\/1. Find l such that z + 8*l**4 + 11\/2*l**3 + 0*l + l**2 + 7\/2*l**5 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 22*v - 122. Calculate p(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -923690 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -636, -1272, -1910, -2550, -3192?\nAnswer: -3836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 1\/3 (b) -8 (c) 6\/7 (d) 10 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c40 - 2d87?\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 228805342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8732 = -47*o + 6746 + 170125. What are the prime factors of o?\nAnswer: 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t**2 + 9*t. Let a(i) = -7*i**2 - 4*i. Determine -14*a(g) - 6*u(g).\nAnswer: 8*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3400*y - 8702*y + 26318 = -2745*y - 703528 for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4246\/386 + 32\/(-5) + (-2)\/(-5). Solve 0 = -5*k + 6*k + 3*q + 1, -5*q + 15 = y*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100111111 (base 2) to base 11.\nAnswer: -1862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 6139387?\nAnswer: 36836322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/9 + 31*g**2\/9 + 37*g\/3 + 9 = 0. Calculate g.\nAnswer: -27, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -92, -131, -152, -149, -116?\n\"Answer: t**3 - 58*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a - d = 9, -2*a = 5*d - 25. Suppose -2*j - 3*j = -a. Suppose j - 13 = -s. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -1. Let i(p) = -4*p**2 - 3*p - 4. Let b(n) = 3*n**2 + 2*n + 3. Let y(l) = -3*b(l) - 2*i(l). Let z(g) be the first derivative of y(g). Give z(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 - 4*y**2 - y**2.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40742?\nAnswer: 2, 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 147 - 73 - 74 - 124*x + 287*x. Let r(g) = -9*g - 2. Determine s(r(c)).\nAnswer: -1467*c - 326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3 + 53*h**2 - 228*h = 0?\nAnswer: -57, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-27)\/v**(-8\/3)*(v**(10\/7)\/v*v)\/(v*v**31) assuming v is positive.\nAnswer: v**(-1153\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 - -0.05. Let k = 0.1 + -0.2. What is the third biggest value in k, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*l = -19 + 5, 3*l - 36 = -3*t. Suppose -78*f = -83*f + t. Solve -f*v + 5 - 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 1 + 1)*(430 - 858 + 434 + (3 + 3 - 4)*(4 - 2 - 3) + 0 + 2 + 0).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-85)\/(-10) + (-1)\/2. Suppose -l = -4*t + 3*t. Suppose -3*x - t = -4*x. What is the lowest common multiple of 7 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2. Let p be 6\/4 - (1 - (-3)\/(-2)). Let d(v) = v**3 + v. What is p*d(r) - g(r)?\nAnswer: 2*r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 + 5)) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/14 and 71\/630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -15, 3, 0 in descending order.\nAnswer: 3, 2, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + -97?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in -9, -1, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + -131. Let u = -3 - -6. Suppose a + 45 - 6 = 2*n, j = -u*n + 4*a + 71. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -3*o**4\/8 - 7377*o**2. Let d(c) = 19*c**2 - 3*c. Determine t(d(m)).\nAnswer: -171*m**2 + 27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13216 is divided by 13189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3856 and 3498356.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 183*u + 8*u**3 - u**3 + 183*u.\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2\/5 + 952*s - 57696\/5 = 0. Calculate s.\nAnswer: -1202, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69629 and 679?\nAnswer: 6754013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 4, q: 8}. What is prob of sequence hx?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7597805, -15195609, -22793413?\nAnswer: -30391217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 5, p: 5}. Give prob of sequence pp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 11*d - 6 = 0. Let u(m) = -3*m**2 + 2 + 10*m**2 - 3*m**2 + 2*m**2. Let b(o) = -5*o**2 - 2. What is d*u(k) - 4*b(k)?\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180237 by -74.\nAnswer: -180237\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 616 + -588. Suppose 15*d - 662 - 283 = 0. Calculate the greatest common divisor of r and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + -71)\/8 - -678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 12*z**2 - 8*z + 13. Let p be m(12). Which is smaller: 1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5915*x - 5915*x + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741997271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = -2*x - 47*x + 50*x - 5, -21 = -5*x - o + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 569 = h, -q + 6*q - 4*h + 1430 = 0. Let i be ((-6 - q) + -2)*25. Round i to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 8. Suppose 0 = 4*u - 5*u + 67. Suppose -7*l - 4 = -u. Give o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 + 177*f**2*o**3 - 197*f*o**3 + f wrt f.\nAnswer: 36*f**2 + 354*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3487.521 years?\nAnswer: 348.7521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15692637 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 greater than 302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b + 5. Give m(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1574161113 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011886 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -38336.\nAnswer: 13\/38336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 29 = -11. What is the units digit of (8\/m*4)\/(4\/174)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 43670?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 0.3, -0.05, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.7 (b) -6 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = -b + 844, 3*s - 7*s - 5*b + 160 = 0. Suppose 4*z - 278 = -82. What is the greatest common divisor of s and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) 0.1 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 14) to base 13\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.433843l in millilitres?\nAnswer: 8433.843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6593*y = -285837 - 149301 for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -119559021243?\nAnswer: 119559021242.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8725*h**2 - 12192*h**2 + 927*h**2 to a + x*h + c*h**2 and give c.\nAnswer: -19990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -1 + -2 + -9 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -8*a - 4*a. Which is bigger: a or -15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2571306\/1385 and -1858 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 19*k - 5. Determine f(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61.746806 - -0.065806. What is x rounded to 1 dp?\nAnswer: -61.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 8. Let l be h(-6). Let f be 80\/l*(-26)\/5. Let s = -55 + 107. What is the greatest common divisor of s and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2*d**2 + 3*d - 2. Let r be c(-3). Suppose -3*x = -5*f + 485, -f - r + 114 = -4*x. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 164308\/(-8))*952\/833?\nAnswer: 2, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 76.74917t?\nAnswer: 76749.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 12 - 23 - 40*n + 164*n + 11. Let h(p) = 5*p**2. Give o(h(c)).\nAnswer: 620*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/(-119)*2*3\/(-246)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.82 + 0.33. Round f to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*m + v, -2*m + 8 = 2*v - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24561*v + 26 + 5 - 24598*v to the form w + a*v and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*u + 11307 - 31628, 0 = -2*u - 14. Is j a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m**2 - 2484*m + 712 = 0 for m.\nAnswer: -89, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Let t be (4 + 4)\/(-4) + 1. Sort l, t, 5.\nAnswer: t, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a factor of 1544600442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 312*z**4\/5 - 28*z**3 - 164*z**2\/5 - 8*z\/5 = 0.\nAnswer: -1\/2, -2\/39, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71060 * 7.\nAnswer: -497420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -361\/7 - -922\/21. Calculate the common denominator of j and 139\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(68) + 5)**2 + sqrt(425) + 1 - ((sqrt(153)*2 + sqrt(153))*1 - sqrt(153))\/(2*sqrt(36))) + 3.\nAnswer: 99 + 49*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49871671*r**3 - 105847744*r?\nAnswer: 299230026*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)\/g**(-23)*(g*(g*g*g**22*g*g)\/g*g)**40 assuming g is positive.\nAnswer: g**1094","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-3)\/(-60)*10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935*g + 33 = -924*g. Suppose -3*j - v = -8*j - 19, -5*j - 11 = v. Sort g, j, 5.\nAnswer: j, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/4 - x**3\/3 - x**2\/2 - 35*x - 2. Let h be n(0). Let b = -12 - h. Solve 7 = -2*s + 1, 0 = -5*y - s - b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.228072 + -0.171928. Let x = 0.1 + 0. Which is the nearest to x? (a) -1\/2 (b) w (c) 18 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -29540 (b) 0.2 (c) -1172 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -15, 5 in increasing order.\nAnswer: -112, -15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h + 3. Let t be v(0). Solve d = -t + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 19*a + 131. Determine k(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5630913 tonnes to milligrams.\nAnswer: 563091300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p. Let s be b(2). Let w = -572 - -578. Solve -w + 14 = s*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:29 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48\/13 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2016570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/1*-1 + -1. Suppose 0*u - 30 = -l*u. Calculate the common denominator of -46 and (38\/9 - 2)*u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -706.362 - 1.638. Let c = -704.67 - g. Let i = c - 3.2. Round i to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a8 (base 13) in base 12?\nAnswer: 69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k + 2. Let i(w) = -w**3 - 7*w**2 + 13*w - 13. Calculate 6*i(c) + 39*o(c).\nAnswer: -6*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103236 is divided by 1007.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 26. Let c = -16 + j. Solve -5*b = -c + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Let z(i) = -5*i - 2. Let w be z(d). Solve -3*n + w*n - 2*h + 11 = 0, 0 = 2*h - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*i = 16, 3*r + 2 + 10 = -4*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3))**38*i**(-6\/5)*i\/((i\/(i**(-9)\/i))\/i*i)*i)**(-6\/23))**5 assuming i is positive.\nAnswer: i**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49211982763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 71*y**2 - 76*y - 458. Determine u(-72).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 k when four letters picked without replacement from kxkkkkkxpppkp?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -4)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(7 + -6))\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43175 and 52909?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3108?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -132*l - 24. Let p be i(6). Let r = p - -1512. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107\/132 - -2\/33. Let i(d) = -15*d + 89. Let w be 105\/(-14)*(-12)\/15. Let t be i(w). Which is bigger: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1543*f**3 - 2*f**2 - 4*f + 763. Let l(x) = 7714*x**3 - 11*x**2 - 22*x + 3812. Let m(v) = -11*c(v) + 2*l(v). Differentiate m(b) wrt b.\nAnswer: -4635*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/2 - 107*d**2\/6 + 2*d.\nAnswer: -d*(d + 12)*(9*d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-363)\/220)\/((-4)\/(-16945)). Let d = 6986 + z. Find the common denominator of d and -97\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.63 - 12.53. Which is the third smallest value? (a) 104\/7 (b) -4 (c) v (d) -2 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30342340 + -3?\nAnswer: 30342333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.22, 1\/8, 149621?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 55*o = -949120. Suppose 25*u - 17*u = o. What is u rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 13 - 17 - a**2 + a - 8*a**3 + 11*a**3 - a**4 to the form t*a**4 + j*a**2 + b*a + c*a**3 + y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 15 - 27, 0 = 3*x + 2*c - 18. Let q be (4\/6)\/(2\/24). Sort x, q, 1 in increasing order.\nAnswer: 1, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a + 30*a**2 + 0*a**4 + 13*a**2 + 6*a**4 - 7*a**4 - 10 wrt a.\nAnswer: -12*a**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*s**5 - 10*s**5 - 21359*s**2 + 21361*s**2 + s**4 + (-27 - 6*s**2 + 27)*(0*s**3 - 5*s**3 + 3*s**3).\nAnswer: -15*s**5 + s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, -2, 54\/5, 3\/2, 4 in descending order.\nAnswer: 54\/5, 4, 3, 3\/2, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.2 and -35892.\nAnswer: -114854.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2) - 404\/4) + 11124\/927?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 23*w**2 - 28*w + 98. Let h be m(24). Is ((-1560)\/(-14))\/h*140\/30 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 8. Let j be v(-6). List the prime factors of j\/(-1) - (-1 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 4*f - 27 = -5*j, 12 = 4*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 4*g - 19, -c + 4*c + 5 = 2*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(0*q**2 + 4*q**2 + q**2).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:40 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -139668.433099843 + -2\nAnswer: -139670.433099843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 32, 65, 108?\n\"Answer: 5*b**2 + 8*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 + 2*z**2 + 0*z**2 + 343.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*t + 1034, -2*t = 3*u - 692 - 867. Suppose -u + 4234 = 5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -512*s - 13813. Give d(-33).\nAnswer: 3083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.93 + 217.93. Let v = 212 - i. What is the nearest to -1\/4 in v, 3, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:51 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 2, i: 3, x: 9, a: 1, m: 3}. What is prob of picking 2 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 39, 64, 89, 114?\n\"Answer: 25*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 0*t - 45*t**2 - 5\/2*t**4 + 20*t**3 + 135\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70003 - -129312. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3972 * -0.259.\nAnswer: 1028.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003469418 rounded to 6 dps?\nAnswer: -0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 14*g + 4*q - 4 = 0, 3*g - 5*q = 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13423 - -211?\nAnswer: -13212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 131 + 156 - 3*g**2 - 3*g**2 + 77*g. Let v be m(26). Do 1\/22 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 3 - 42 + 20*o**2 - 22*o**2 + 6*o - 12.\nAnswer: -2*o**2 + 3*o - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 5*b + 2. Suppose 28 + 2 = 3*y. Let n = y + -14. Determine h(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and 0.099477821443026.\nAnswer: 0.799477821443026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -19*s**3 + 6*s**2 + 5*s + 16. Let h(f) = 4*f**3 - f**2 - f - 3. Give -11*h(j) - 2*m(j).\nAnswer: -6*j**3 - j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 3 (c) 3\/7 (d) 8 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.1 + 9. Let w = -3.7 - -0.7. Put 0.02, w, m in descending order.\nAnswer: 0.02, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16571513 is divided by 274.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 887*v - 6276. What is w(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 10*x + 104 + 184 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 47*w + 130. Let d(u) = 3*u. Determine x(d(f)).\nAnswer: 27*f**2 + 141*f + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*r + 46139 = -4336 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8994272856 to the nearest integer?\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 475.555.\nAnswer: 1426.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988451.\nAnswer: 67, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 53*f**3 - 13*f**2 + 22*f + 12. Let k be c(3). Which is bigger: k or 1391?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*d**3 - 4*d**2 + 274*d - 327080 with respect to d.\nAnswer: 279*d**2 - 8*d + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 47, 69, 105, 161, 243?\n\"Answer: g**3 - 2*g**2 + 13*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 12:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 + 16*b - 22. Calculate l(-8).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-325)\/(-45))\/((-2360)\/(-708))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 1125, 1687, 2249, 2811?\nAnswer: 3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 less than -85?\nAnswer: -85.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1011093, -1011105, -1011131, -1011177, -1011249, -1011353, -1011495?\n\"Answer: -z**3 - z**2 - 2*z - 1011089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4003 - 4008. Sort 420, o, 2.\nAnswer: o, 2, 420","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*j - 8, 5 = -3*h - 3*j + 2. Let n(b) = 5*b**2 + 1. Let p be n(-2). Suppose l + 1 = p. What is the smallest common multiple of h and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oioulilazilaui. Give prob of sequence zuli.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -177 (c) 19 (d) -0.1 (e) -1 (f) 288\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1750327?\nAnswer: -1750327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 351885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Suppose -2*z - 1 - 1 = 0, 0 = p - y*z - 7. Let h(b) = -b**2 + 3. What is h(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -h + 3*h - 46, 5*o + 2*h = 57. Let p(u) = -u**2 + 12*u - 3. What is the units digit of p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*q - 128 = 0, 2*r - 80*q = -76*q + 352. Solve -104 = -44*h + r for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 43 = 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5243259 to the nearest 10000.\nAnswer: -5240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*l - 31, -5 + 0 = -l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + (-2 - 0 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 300573 divided by 4\nAnswer: 300573\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 6*f**2 - f + 6. Let u be r(-6). Let k be 3\/(10\/u*(-22)\/55). Let j = -286 + 291. What is the smallest value in -4, j, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74179 + 5118263?\nAnswer: 5192442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -87*z**5 + 63*z**3 + 47*z**4 + 53*z**5 + 31*z**5 + 13*z**4 = 0.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1052*a**2*p**3 + 4*a**2*p - 2*a**2 - 4*a*p**3 + a*p**2 + 15631*p wrt p.\nAnswer: -6312*a**2*p - 24*a*p + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*y = 0, -3*h = -2*y - 2*y. Suppose h = -5*c - 4*n + 30, -10 = c + n + 3*n. Suppose -2*g - 4*r + 13 = 3, 5*r = -c. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7140?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 37*x = -676. Solve j - 9 + x = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(1*(sqrt(176)*4 + sqrt(176)) + (sqrt(1331) + 3 - sqrt(1331)) + -3))**2.\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 2. Let l(u) = u**2 + 16*u + 19. Let j be l(-15). Let d be g(j). Is d*4\/16*-74 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5773177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let i(a) = -39570449*a**2. What is x(i(l))?\nAnswer: 3131640868123202*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.4, -1\/2, -0.314?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7237971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 23, 44, 83, 146, 239, 368?\n\"Answer: w**3 + 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -44) + -57 + 16 - (50 + 0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10102 - -21365. Is 11261 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1650 + -1650. Solve w = u - 4*t + 3 + 4, 5*u = -3*t + 34 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605713*q + 401518*q - 907807*q - 189950*q.\nAnswer: -1301952*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0 - (2 + 2)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4237, 5677, 7119, 8563?\nAnswer: 10009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.633128ml?\nAnswer: 0.002633128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -70. Solve -5*j = 4*o - 19, 2*j = 2*o + 3*o + l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 - 50 = 33*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60976753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 472*l + 472*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 9460*h + 4474580.\nAnswer: 5*(h + 946)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -190 + 681 - 185 - 181 - 154 + 3*m. Let o = 7 + 1. What is q(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - f + 4. Let a be c(0). Let p = -19 - -32. Solve -a*i + 1 = -4*w + p, -4*w + i + 6 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**8\/84 + 124*t**7\/105 - 299*t**6\/10 - 1984*t**5\/15 - 512*t**4\/3 + 1069*t**2. Factor m(i).\nAnswer: -4*i*(i - 32)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/4 and -57\/290.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 + 27*z - 80. What is u(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 9*k**2 - k + 9. Let q be d(9). Suppose 3*u - 51 = -3*h, -3*h - 2*h - u + 73 = q. Let x = h + -11. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/(104\/364)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.685 less than -3.9839?\nAnswer: -5.6689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/3*3\/(-2). Let q = -1 + j. What is the greatest common divisor of 72 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/48415?\nAnswer: 2\/48415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002158705 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.44 * -0.1.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/3)\/((-3)\/27). Suppose 0 = -3*b - s + 67 + 100, -5*b + 284 = -4*s. Let c = b + z. Solve -3*i + c = 5*d, i = 5*d - 7 - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021 - -2101?\nAnswer: 21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76766 and 122878?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19429 or -23340?\nAnswer: -19429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*m + 304*m - 153*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442750 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from yammmakaammaepyamaym?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225888928*o**2*u - 48024*o - 184*u wrt o?\nAnswer: 451777856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.8562 + -0.0162. Round v to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2 + 2916*v + 89216 = 0 for v.\nAnswer: -697, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swww when four letters picked without replacement from {s: 2, a: 1, j: 1, w: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 5*t, -5*t + 0*f + 15 = -3*f. Let l be (6\/(-4))\/((-6)\/16)*-1. Let w = l - t. Which is the closest to 0? (a) 1\/2 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 173 = p - 962, -r - 4*p + 173 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(7\/8))\/(c**(4\/3)\/c))\/(c\/(c\/c**(-2\/19)))**10 assuming c is positive.\nAnswer: c**(1183\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -259.83099 rounded to zero dps?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -684000 to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*x = -37, b - 21 = 3*x - 3. Let c = 283 - 284. Let p = -11 + 7. Put c, p, b in decreasing order.\nAnswer: b, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 7, f: 4, g: 2, k: 1}. What is prob of picking 1 w, 1 m, and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 48.429?\nAnswer: 9.6858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 17216?\nAnswer: 86080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1))\/(8\/6). Let q = -1.7 + 2. Let h = 33.9 + -34. Which is the nearest to r? (a) q (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.75 + 0.19. Let v = n + -0.9400003. Round v to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 4*t + 4. Let m be v(-4). Suppose 14 = m*f + 2*i, -5*f + 0*i - i + 22 = 0. Suppose 0 = -x - 5*d + 7*d + 148, f*d = x - 154. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 153*s + 3. Let d(a) = a**3 - 4*a**2 - 23. Let p be d(5). Let w be c(p). Suppose -71*l = -74*l + w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/6*9\/15. Let m = 2 + 1. Let c = m - 1. Are u and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-2 + 1 + 3 - sqrt(84)\/(sqrt(48)\/sqrt(4)*5)) + 5.\nAnswer: -11*sqrt(7)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w - 2*w + w**2 + 8*w + 2*w**2. Let p(y) = y**2 - y. Calculate j(v) - 6*p(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -95300 divided by 4765\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -668, -1353, -1956, -2465, -2868, -3153?\n\"Answer: 2*l**3 + 29*l**2 - 786*l + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-8)\/12)\/(10\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20876 - -38085. Suppose 0 = -21*q + 13892 + h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295785 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 384*i**2 + 1802*i + 1936. Calculate z(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-644)\/(-240)*45\/18)\/((-7)\/(-4)).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t*x**3 - 17637*t*x**2 + 16*t*x - 183509*x**3 + 2*x**2 wrt x?\nAnswer: 6*t - 1101054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 times -52.76?\nAnswer: 12.1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336718*b**3 - 5*b + 5*b - 673250*b**3 + 336526*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*d - 11*d - 2*d**2 + d**4 - 10*d to the form o + g*d**4 + m*d + q*d**2 + c*d**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 2. Let c(m) = m**3 + 12*m**2 - 14*m - 15. Let t be c(-13). Let j be t\/4*-1*h. Solve -8 = 5*r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*4665\/(-622).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**2 - 3. Let b(l) be the second derivative of l**4\/3 + l. What is x(b(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33d1 - 55d?\nAnswer: 2e74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73, -182, -359, -604, -917, -1298?\n\"Answer: -34*j**2 - 7*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - n, 3*n = 4*z + 5*n - 24. Solve -z*f = -k - 1, 4*f + k - 9 = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 3*g - 3. Let x be m(-4). What is the common denominator of x\/(-7) + (-2)\/7 and -2 - (-1)\/12*242?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 5 + n - 3)*(20*n - 10*n + 3*n) to x + k*n**2 + h*n and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19280*k**2 - 2*k - 19280*k**2 + 4*k**3.\nAnswer: 4*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - (-120)\/28 - -7. Suppose -g*w - 40 = -3*w. Which is the nearest to 0.7? (a) w (b) 1 (c) 2\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q - 4 = f, q - 2*f + 2 = 0. Suppose 0 = -4*k + q*k. Suppose -h = -k*h - 10. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**(1\/2))\/r))\/(r\/(r**6*r)))\/(r*r**1*r\/r**(6\/7)) assuming r is positive.\nAnswer: r**(61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52441155778 - -4322.\nAnswer: -52441151456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = 9*w. Solve -4*t + 3 = -w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**2. Let y(q) be the second derivative of -12*q + 1\/3*q**3 + 0*q**2 + 0. Give y(x(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 255 = -15. Suppose -54*s - a = -63*s. Solve -4*z = -s*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/18 - 860*a**3\/27 - 1283*a**2\/9 - 1708*a\/9 - 11662. Factor g(s).\nAnswer: -2*(s + 1)*(s + 2)*(s + 427)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -4. Suppose 3*z + 0*z = 0. Suppose -2*c = 2*j - 6, c + j - 9 = -2*c. Solve z = -t + b*t + c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156421?\nAnswer: 156421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/20*1640\/287*12\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 10. Let k be h(-10). Which is the nearest to 1? (a) 1 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -50) + (4 - 31) - -38.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -50 in decreasing order.\nAnswer: -1, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2*x**5 + 12343*i**2*x**2 + 2*i**2*x - 964*x**5 wrt x.\nAnswer: 120*i**2*x**2 - 57840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, 75, 39, -11, -75, -153?\n\"Answer: -7*g**2 - g + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 6785 = -221. Let i = -507 + h. What is the highest common divisor of 340 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - i + 3, 4*d + 0 + 16 = 3*i. Which is bigger: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (3 - -34 - (20 - 30))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133965616 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: What is the smallest common multiple of 1394 and 306?\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 15) + 242 + -229\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, l: 1, c: 1, w: 2, y: 1}. Give prob of sequence clwy.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149287529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swmsmsmimmiwwswsms. What is prob of sequence ii?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-226)\/1243*(-2)\/2. Which is greater: b or -6\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1725 - 55?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4044 (b) -11 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 - 3*y**3 + 2*y**3 + (-4 + 3*y + 4)*(242*y**2 + 234*y**2 - 74*y - 475*y**2).\nAnswer: 7*y**3 - 222*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 4*o**2 - 3*o - 1. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*k + 8, 8*g + 14*k - 60 = 17*k for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d - d - d)*(3 + 0 - 2) - 3 - 2*d + 3)*(-d + 8*d - 3*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**2 + 10*i + 91. What is x(10)?\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - b = -2*p + 11, 0 = -2*p - 2*b + 20. Let m(t) = -5*t**2 - 19*t**3 + 3*t + 6 + 42*t**3 - 3*t**2 + 6*t - 22*t**3. Is 3 a factor of m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/150324 and 69\/58?\nAnswer: 4359396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -238*g**4 - 7*g**3 + 5*g**2 - 825. Let r(n) = -238*n**4 - 6*n**3 + 4*n**2 - 826. Let z(v) = -4*l(v) + 5*r(v). Differentiate z(m) with respect to m.\nAnswer: -952*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 = -51*l + 11 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.381 in -77.2, -3, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1617 - 1617. Which is the smallest value? (a) -1 (b) 3\/5 (c) -22\/7 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1539 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54721 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let g(m) = -2*m. Let v(f) = 2*g(f) - 3*j(f). Let c(o) = -6*o. What is c(v(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33.0903451 - 0.3\nAnswer: 32.7903451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:21 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 4, 3*a - 4*g - 61 = 0. What is the greatest common factor of 45 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmmm when four letters picked without replacement from {m: 3, h: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 9*m + 14. Let o be d(10). Suppose o*r = n - 5*n + 72, -n + 18 = 3*r. What is the greatest common divisor of n and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.65324 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4339346733 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 133397?\nAnswer: 1333a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-2100))\/((-2)\/(-8))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - l - 2. Let o = -10 + 7. Let w be b(o). Let d = w - -3. What is the greatest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7700, -15399, -23098?\nAnswer: -30797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (5 + sqrt(66)\/(-1*sqrt(6)) + 2 + sqrt(275) + 5)**2.\nAnswer: 314 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*q + 449 - 35 + 34 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16 = -4. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2.41, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13129143961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 16\/7, 0.5, 440, 1\/87, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588693?\nAnswer: 3, 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 555 (b) 3\/8 (c) 2\/11 (d) 2\/3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-3\/4)*o)*((o**(-1\/7)\/o)\/o)\/o*o*o*o assuming o is positive.\nAnswer: o**(17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 479800 rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, 18, 6 in descending order.\nAnswer: 21, 18, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 5*w**6\/12 + w**5\/2 - 5*w**4\/4 + 17. Suppose v(c) = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*z + 832 = 98*z - 12. Solve -4*d = z*w, -w = 5*d - 0*d - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216 - 110. Calculate the remainder when m is divided by 64.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056527047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 6 = 25*k. Is 9\/10 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 374 + -242. Suppose 0 = -4*v + 4*y - c, -2*y + 0*y + 168 = -5*v. Let n = v + 37. Let m(l) = -4*l - 1. Determine m(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255897651*z - 85548825.\nAnswer: 255897651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12719.64326 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000122 (base 4) in base 3?\nAnswer: -111022122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.386 * -7.7.\nAnswer: -2.9722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8598 and 0.23.\nAnswer: 8598.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -0.218, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1615)\/(-15) + (-2)\/(-6). Suppose -4*o + x = -124, -3*o - o - 3*x = -w. Let n = o - 22. Solve 5*k = r + 10, -2*r = -4*k - 0 + n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 8. Suppose 5 = h*c, 0*c - 65 = -3*a + c. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2460499\/35 - 70289. Let q = t - 74\/7. Let k = 13 + -15. Which is the closest to q? (a) -1 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqyqqqyyyyqyqyqyqyy. Give prob of picking 2 y.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 1, q: 2}. Give prob of sequence jcq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let z be w(2). Let a be 1\/4 + 66\/24. Suppose 0 = -4*k + 21 - 1, a*k - 59 = -2*b. Calculate the highest common divisor of z and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**6 - 280*n**3 - 691*n**2?\nAnswer: -120*n**3 - 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2153738 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6 - 3 + 8*d - 2 + d**2. Suppose -5*z - 94 = -3*q - 19, -z + 25 = q. Suppose 0 = -i - 2*i - 4*u - q, 0 = 4*u + 4. Calculate g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*y - 39 = 0, -4*y + 3*y = -2*q - 15. Let u(j) = 12 + 3*j - 2*j + 0*j. Let t be u(q). Solve -16 = -5*n + 3*i, -i - 12 = -2*n + t*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**4 + 1 + 177*q**2 - q**4 - 179*q**2 as n*q**2 + r*q + g + m*q**4 + f*q**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 38*t**2 + 103*t + 38. Determine r(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z = 71*z - 210. What is the highest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(9\/(-3)))\/2. Suppose 3*g + 14 = 4*g + 4*j, -5 = -4*g + j. Suppose 3*x + 8 = 4*n, 3*n + 4*x + 2 = -17. Sort s, g, n in decreasing order.\nAnswer: g, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -675443, -675453, -675475, -675515, -675579, -675673, -675803, -675975?\nAnswer: -676195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24+8223520\nAnswer: 8223544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1)\/((-5)\/(-100)*-3*4\/48) and 7.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*-2 + 31. Suppose 43*i - 4*q = 48*i + 3690, 5*q + 2952 = -4*i. Let r be 112\/(-6)*i\/861. What is the highest common divisor of r and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + -5 + 1 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.446 + -0.296. What is the closest to p in 0.2, -3\/4, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 54 = l. Suppose l*u + 90 = 14*u. Calculate the remainder when 71 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(17)*3 - sqrt(17)) + -3 + -2.\nAnswer: -9 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) - (-339)\/6. Let j be 25\/9 - 2\/(-9). Suppose 2*s + 34 = 4*y, j*s + 2*s = 5*y - 45. Calculate the greatest common divisor of y and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 68*m**4 + 8*m + 3*m**3 - 134*m**4 + m**3 + 68*m**4 - 14*m**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.58583 - 0.05483. Round p to one dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5248 and 4130432?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 83*i**3\/6 + 17*i**2\/2 - 6*i. Let o be p(5). Suppose 426 = 3*u - j, -3*u - j + o = -4*j. Is u a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-33))\/(((-64)\/(-12))\/8)*7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 9*i = 8. Let v be 9 - (0 - i - 0). Find the third derivative of -4*l**2 - v*l**2 - 4*l**2 + 4*l**4 wrt l.\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n + 31 - 31 + (0 + 0 + 1)*(2*n - 6*n + 2*n) - 12*n + 9*n - 8*n + (-n + 2 - 2)*(-2 + 5 - 4) + 2*n - 2 + 2 + 1 - 1 + n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56493 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:37 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 65, 153, 275, 431?\n\"Answer: 17*i**2 + 3*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32288293 divided by 35599?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.008151 weeks in microseconds?\nAnswer: 609729724800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 4*k - 21*k + (-2 + 2 + 1)*(0 + 1 - 4)*(3*k + 2*k - 7*k) to d + x*k and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10014 + -120283\/12. Calculate the common denominator of g and (-7)\/(-35)*117\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:21 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 3774.\nAnswer: 1509.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (6 + 1 + (-1 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2646, -61\/56, 1?\nAnswer: -2646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26386, -31600, -36826, -42070, -47338, -52636, -57970?\n\"Answer: -o**3 - 5207*o - 21178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a (base 13) in base 8?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7430)\/4 - 3\/(-6). Calculate the common denominator of -1\/8 and t\/(-270) + 4\/18.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11620 and 280?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -657708 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -0.4, -0.3, 0.06, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.4 - 50. Let w = -3.88 - l. What is w rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(306)\/sqrt(6) + sqrt(51))*4 + sqrt(51))*-4)\/((sqrt(198)\/(sqrt(6)*-3))\/sqrt(11)).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 3*u + 12 + 4. Let s be (11\/1)\/((-1551)\/(-1128)). What is m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y - 1. Let p(h) = 8*h**3 + 8*h**2 - 8*h + 8. Determine -24*l(d) - 3*p(d).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 - 4) + (55 - 36) and 76?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*a - 3 = 0, 0 = -3*a - 2*a + 15. Suppose -x - 3 = -2*j, s*j = 2*x + 3*x + 1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/((-5)\/((-8625)\/(-2))). Is r\/46*(-112)\/(-10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*b - 209*b - 317*b + 2*b - 2*b - b + b + 0*b - 3*b + 4*b + 0*b - 2*b + (-b + b + 2*b)*(-3 + 1 + 3) + 1 - 1 + b.\nAnswer: -642*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2732*n + 108 = -2741*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1480 = 5*a - 4*u, -2*a + 3*u = -592. Suppose -3*b - 2*f + a = -b, 3*f + 438 = 3*b. What is the highest common divisor of b and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4 + 30784*j**3 - 369300*j**2 + 1107792*j = 0. What is j?\nAnswer: 0, 6, 30772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 4\/(-2) - 5*(-5)\/(-5). Which is smaller: 134\/69 or u?\nAnswer: 134\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (4 - (8 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -86009729*k**2. Let n(f) = -2*f. Calculate b(n(w)).\nAnswer: -344038916*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 601 + -556. What is the remainder when 1123 is divided by f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2457483, -4914970, -7372457?\nAnswer: -9829944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 4. Let p(i) = 11*i - 9. Let b(y) = -9*g(y) - 4*p(y). Give b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 298\/(-745)*(1 - -1)\/4. Which is the nearest to 0.3? (a) 0.3 (b) y (c) 2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = 55. Suppose -20 = 3*j + 2*j. Calculate the remainder when a is divided by -3 - (-24 - (j - -3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46308\/255 + (-6)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 21*f**2 - 23*f - 8. Let t be (-7)\/(-7) - 23*1. Let x be s(t). Solve -5*h = -3*q - 0 - 16, -4*h + x = -3*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3 = u, 3*n = 5*n - 4*u - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 8*y + 3*y = -3*y + 51, -4*f - 3*y + 25 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**3 + 127872*f**2 - 2045373*f + 8052912 = 0.\nAnswer: 7, 9, 42608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 1:10 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2164889418 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -882108 divided by -36\nAnswer: 24503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = w - 15, 2*y + 9 = -2*y - 5*w. Calculate the lowest common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-119)\/105 - (-12)\/15. Let k be (-18)\/45 + (-16)\/(-15). What is the smallest value in m, -5\/4, k?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*n + 4, 3*n + 4 - 1 = -5*x. Let v be (84\/(-14))\/(-1 + n). Find the second derivative of -4*a + 20*a + 6*a**v - 2*a wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 50, 106, 182?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**4 + 12*r**3 - 4*r**2 + 4*r. Let s(w) = -9*w**4 - 12*w**3 + 5*w**2 - 5*w. Let x(n) = 4*s(n) + 5*t(n). Factor x(q).\nAnswer: 4*q**3*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -89564*i**2 - 14*i - 50420*i**2 - 10 + 80*i - 43*i - 90011*i**2. Let b be a(-5). Round b to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403.8556 millilitres to litres.\nAnswer: 0.4038556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3599*m - 329688 = 2786*m + 1257*m - 16366 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d**2 - 2\/13*d**4 - 160\/13*d**3 + 0*d + 0 = 0. What is d?\nAnswer: -80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 177 + 196 - 6*u**2 + u**3 - 27*u - 4*u**2. Give v(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -26*z**3 + 3*z**2 + 3*z. Let i(n) = -1403*n**3 + 161*n**2 + 161*n. Suppose -3 - 4 = -k - 4*t, -4*t - 5 = -3*k. What is k*i(d) - 161*p(d)?\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4 + 2122*k**3 - 3183*k - 127077682.\nAnswer: 4*k**3 + 6366*k**2 - 3183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 654 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/242)\/(1\/(-4)). Let w = -7090\/9 - -797. Let h = -9 + w. What is the third biggest value in h, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1186*s**2 + 42103 - 42103)*(-1 - 2 + 5) to the form a + r*s**2 + h*s and give r.\nAnswer: -2372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01596 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 0*u - 3*y - 8, 4*y = 4*u - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/8 - -3\/8. Let l = -46 + 38. Let s be 4 - (-4)\/l - 2. What is the fourth biggest value in -3, 0, i, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.5, 1, 15, 0.2, 58\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayuuyyiy. Give prob of sequence ay.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, 1 d, and 1 g when four letters picked without replacement from {w: 2, z: 1, e: 2, d: 1, g: 1, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -238*i + 25. Let l(s) = 12*s - 5. Let v(y) = f(y) + 5*l(y). Let k(m) = 4*m. Calculate k(v(q)).\nAnswer: -712*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3263 is divided by 59?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2151166810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r. Let i(q) = 249*q**2 - 6*q + 129. What is w(i(g))?\nAnswer: -1992*g**2 + 48*g - 1032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 21*v**3 - 6*v**2 + 128*v - 676. What is the smallest common multiple of o(5) and 2168?\nAnswer: 19512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/89 + -160\/801. Suppose 0 = 12*p - 6*p - 10500. Let k be 6\/14*1 + 300\/p. What is the biggest value in -2\/11, b, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:21 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Let s(w) = 7*w + 4. Let k(z) be the third derivative of 0*z + 0 - 61*z**2 + 1\/6*z**3 + 1\/24*z**4. Determine a*k(t) - s(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -17262240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 90*p**3 - p**2 - p + 1. Let k be i(1). Suppose 4*j + 45 = k. Suppose 0 = -5*w + 146 - j. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -4, -1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 6. Let a be i(6). Suppose a = -5*x + 12 + 98. Calculate the highest common divisor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 4 + 4)*(299 - 299 + 64*t)*(0 - 1 - 2).\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 899.767?\nAnswer: -899.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553516?\nAnswer: 2, 71, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2 (c) 0.05 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 402\/85 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - 2\/(-4). Let s = -0.745 - -0.245. Let t = -136 + 678\/5. Which is the third biggest value? (a) t (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 474*h - 113. Is z(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 15*m + 2)*(0 + 0 + 2 + (-2 + 4 - 4)*(2 + 0 - 4)) to the form y + u*m and give u.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341648 and 1054288.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:15 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 47*d - 301 = -5*h, 4*d - 3760 = -3804 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51357040 divided by 5?\nAnswer: -10271408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -8432\nAnswer: 9\/1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 777*v + 478*v - 12 to the form x + n*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -619, -2578, -5843, -10414, -16291, -23474?\n\"Answer: -653*k**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 148 + 0?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 2*d - 1. Let m be s(-1). Suppose u - 4*r - 26 - 35 = 0, -m*u = r - 261. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/(6\/(4896\/85)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r**4*w + 6*r**2*w**2 + 2*r*w**2 + 58*r*w + 3*w**2 wrt r.\nAnswer: -84*r**2*w + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3623552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + -123?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 9. Let b be k(-6). Solve 0 = b*a - 5*y - 32, -5*y - 11 = 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by 4\nAnswer: -203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:51 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*s + 80 + 228 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + q - 1, r - q - 6 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 less than -3965751325?\nAnswer: -3965751348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 81 (b) 29 (c) -4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**3 + 15*q**3 - 150*q**2 + 25*q**3 - 42*q**3 to n*q**2 + i*q + m*q**3 + t and give n.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z - 3*t, z - 3*z - t = -14. Let d(y) = 7*y - 1 + y**2 - 1 - z*y. Determine d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:04 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 3*b + 63. Let x = 9 - b. Suppose w - 211 = -4*r, -5*w = -4*r + x + 161. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142.3 - 127. Let a = n - 1.3. Let x = a + -13.9999688. Round x to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.075657 micrograms in grams?\nAnswer: 0.000004075657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + w**3 + 2*w**3 - w**3)*(2*w**2 - 3*w**2 - w**2).\nAnswer: -4*w**5 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {e: 1, y: 1, f: 1, b: 4, n: 1, z: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2050*r + 1913. What is the units digit of z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 1083392*d - 3250158.\nAnswer: -2*(d + 3)*(d + 541693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66267?\nAnswer: 3, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) -1 (c) 61 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - r**2 - 18*r - 11. What is the tens digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21456510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-125)\/(15\/(-3)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 - b**2 + 8*b + 1. Suppose -5*x + 764 = -346. What is the remainder when x is divided by f(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**5 - i + 389*i**3 + 3 - 391*i**3 + 3*i wrt i?\nAnswer: 100*i**3 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1677506 divided by -1677506.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -35*s**2 - 11*s. Let d(a) = 7*a**2 + 2*a. Let z(l) = -l**2 - 4*l + 1. Let t be z(-6). Let j(m) = t*d(m) - 2*h(m). Let n(y) = -2*y**2. Give j(n(q)).\nAnswer: -28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**3 + 6*s**2 + 20*s - 8. Give t(-5).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Divide -7574065 by 2.\nAnswer: -7574065\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2. Suppose 4*b + 5*n - 13 = 0, 6*b + 4*n = 3*b + 10. Let d(m) = -3*m**b + 0*m**2 + 4*m**2 + m**2. Determine d(w(a)).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -16 - (36 - 41)) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*r + 48. Suppose -3*l - r = -8*l. Suppose 1 = q - l. Solve -4*c + 5 = -q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*o + 96*o + 94*o - 286*o - 1.\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*f + 7, -f = -2*w + 119 - 96. Let h(o) = o**3 + 7*o**2 + 6*o + 7. Let s be h(-6). Solve -t - w = -s*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*b + 11, -15*k + 22 = -17*k - 3*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240\/13 - 2\/13*o**2 + 86\/13*o = 0 for o.\nAnswer: 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 7*u**2 - 2*u + 2. Let m(y) = y**3 - 13*y**2 + 3*y - 4. Let w = 61 + -66. Let o(z) = w*v(z) - 3*m(z). Determine o(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = 3*c, 0*c + 5*n = c - 42. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9460082563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29860727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 10. Let z = 10 - 20. Let a be d(z). Suppose -4 + 24 = -4*n. Sort a, -2, n in decreasing order.\nAnswer: a, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*c = 5, -38*v + 4 = -40*v - 3*c. Which is smaller: v or -134\/27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*((-5*sqrt(243))**2 + 4) + -3.\nAnswer: 30389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1614, -6719, -15214, -27099?\nAnswer: -42374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1924159045 plus -0.04183?\nAnswer: -5.2342459045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/686 and -15\/112.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b - 1. Let y(v) = -v + 1. Calculate c(u) + y(u).\nAnswer: u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 3. Determine y(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:09 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let k be n(1). Let s(a) be the third derivative of -a**2 + 0 + 0*a**3 + 0*a - 1\/24*a**4 - 1\/15*a**5. Give s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/24*(-2124)\/(-54). Let o = b + -134\/9. Suppose o*c**2 - 1\/2*c**5 - 1\/2*c**3 + c + 0 - 3\/2*c**4 = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*s - 1, 2*s = 2*p - 10 + 8. Solve i + p*g = 6, 0 = -4*i - i + 2*g - 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose 27 = m + k*w, -m + w + 125 = 3*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/75*(-12)\/((-288)\/(-60))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let j(g) be the third derivative of -g**8\/20160 - g**5\/30 + 5*g**2. Let c(u) be the third derivative of j(u). Determine p(c(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 + 5. Let s = -24 - -28. What is the third smallest value in -11, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1765 + 111151\/63. Let q = 461252\/9 + -51244. Calculate the common denominator of s and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -72*r. Let z be n(1). Let a = 124 + z. Suppose -61 = -53*d + 522. Calculate the remainder when a is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 99697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**7\/21 - 23*z**6\/30 + z**5\/2 + 11*z**4\/12 + 20*z - 6. Find x, given that g(x) = 0.\nAnswer: -1\/2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 4*p**2 - p + 4. Let a be w(4). What is the common denominator of (-4)\/32*(-73 - a) and -40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*a = 5, 6 = 3*t + 2*a - 0. Suppose t*h - 117 = 2*h + 3*v, -5*h = -4*v - 275. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from mmmll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892 smaller than 1887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 1}. What is prob of sequence xa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-31)\/93)\/(1\/(-21)). Solve -h = 4 - c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (175\/58 - 1) + 1. Let h = 27\/116 + o. Solve -9\/4*b**2 - h*b**3 - 27\/4*b - 27\/4 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*t + 20, -3*w - 3*t + 5 - 20 = 0. Is 6 + 7\/(w\/(-2497)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359854110 divided by 45.\nAnswer: -7996758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + v + 5. Let g(f) = 18*f - 11 - 10*f + 4*f**2 - 11*f. Calculate 4*g(t) + 9*k(t).\nAnswer: -2*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 smaller than 161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220 - -12?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o**6 - 235*o**5 - 2*o**4 - o**2 - 2*o + 907?\nAnswer: 840*o**3 - 14100*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*r**3 + 4*r**3 + 55*r**2 - 38*r**2 wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -5\/6, -0.1, -10.\nAnswer: -10, -5\/6, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9962, 20368, 30772, 41174, 51574?\nAnswer: 61972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 135 = -45. Calculate the remainder when 71 is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597892 to the power of 1\/2, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 + 0)) + 48 + (10 - 90)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 5. Let t be 2*(6\/(-10) - (-116)\/(-40)). Determine d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25493 and 2491839?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9861*m - 128206. Give c(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -337\/10 (b) 1\/5 (c) -0.2 (d) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.7, 2\/965, 0.3, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**8\/112 - 3*n**7\/70 + n**6\/20 + n**5\/10 - 3*n**4\/8 + n**3\/2 - n**2. Factor w(h).\nAnswer: 3*(h - 1)**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182584949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-21)*(189\/(-36))\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114555221 - 2?\nAnswer: 114555215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.83 times -0.238\nAnswer: -0.43554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r)*(0*r - r + 0*r) + (2 - 3 - 1)*(-1 + 11*r + 1)*(-2 - 5 + 9 - 2*r).\nAnswer: 45*r**2 - 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814444573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**3 - 501*m**2 - 495*m**2 - 9*m**3 + 996*m**2.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.3 + 10.3. Which is the second biggest value? (a) w (b) -6\/7 (c) -1\/6 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*t = 16. Let d = 30 - 24. Solve t*c = -2 - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108\/5 - 2926\/135. Suppose -l - 4 = d, 4*l + 2*d + 0*d = -8. Let m = -1 - l. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*f = -409*f + 3099 + 2031 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 10}. Give prob of sequence wwo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4438 + 21743. List the prime factors of q.\nAnswer: 5, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0.2, 5, -7\/5, 38 in descending order.\nAnswer: 38, 32, 5, 0.2, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 4. Let u be 1*93 - (17 + -17). Let n = u - 96. Determine v(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.9 and 250.\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4530*j**3*y + 2596*j**2*y + y - 49327918 wrt j.\nAnswer: -13590*j**2*y + 5192*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1517071.5 months?\nAnswer: 126.422625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.05. Let x = -649136\/7 - -92734. Put x, -4, q in descending order.\nAnswer: x, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 11999.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 12:03 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70409701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*m - 107 + 15239 = -7776 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 9. Let u be g(7). Suppose -2*h - 3*s = 3*h - 135, -2*h + u = 4*s. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401 (base 9) to base 13.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 10. Let k = -45 - -53. Let h be (k\/12)\/((-9)\/(-54)). Solve h*j = -l, v - 5*j + 3 - 12 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) + (1 - 0). Let a(u) = -t*u**2 - 4*u - 6*u**2 + 11*u**2 - 3. Suppose h + 0 - 5 = 0. What is a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.98 + -0.02. Let h = 2.9 + q. Let g(x) = x**2 + 6*x + 5. Let j be g(-5). Which is the closest to h? (a) -1\/3 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/(z\/(z*z\/(z**(-4)\/z)*z*z))*z)*z))**(1\/34) assuming z is positive.\nAnswer: z**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12.1+-486886602\nAnswer: -486886589.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n + 29*n + 33*n + 0*n.\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(152)\/(sqrt(4) + sqrt(100)))\/sqrt(2) + 1.\nAnswer: sqrt(19)\/6 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/18)\/(1\/(-5)). Suppose 5*y - 547 = -c*k + 958, 2*k + 4 = 0. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 26 - 2. Let q be (62\/4)\/(6\/c). What is the third derivative of -44*i**2 + 13*i**6 + 3*i**6 + q*i**2 wrt i?\nAnswer: 1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 + 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34609, 34486, 34363?\nAnswer: 34240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/j**(-1\/5)*j))\/j)\/j)\/(j*j**(1\/9)))\/(j*j**(1\/8)*j*j*j**6)*(j\/j**(2\/5)*j)**(-2\/27)*(j**(-2\/3))**(4\/3) assuming j is positive.\nAnswer: j**(-14519\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*b + 2*b - 2 = 0, 3*i - 4*b - 3 = 0. Solve 0 = -0*r - r - i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - j + 2 = 7, 3*y = j + 5. Let n be y - (2 - (1 - -2)). What is the units digit of (4\/n)\/(6\/93)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/63*21\/(-6). Suppose 2*u + w*x - 16 = 0, -u - 4*x + 6 = -3*x. Solve -2*v - i = -v - 9, -u*v - 2*i = -26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 6*t + t + (0 + 4 - 3)*(-t + t + t) - 336*t + 210*t - 392*t)*(3*t**4 - t**4 - 4*t**4).\nAnswer: 1026*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 26173?\nAnswer: 261730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 + -3.069?\nAnswer: -3.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/18*(1 - 7))\/(4 - 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -18, -15, -4?\n\"Answer: 4*n**2 - 17*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005333281077 rounded to 4 decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 14*b**2 + 15*b - 12. Let h be c(13). Let y be ((-6)\/8)\/(-1 - h\/(-16)). Let s(k) = k + 5. Is 4 a factor of s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 3*r + d, 2*r - 278 - 124 = 3*d. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7152 = 916*f - 1065*f. Calculate the lowest common multiple of f and (-117)\/(-2)*12\/9.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*j = -40*j + 388*j + 8504 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12189, -12181, -12161, -12129?\nAnswer: -12085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13667898 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 446414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = 3*y. Let i be (y - -7)*5\/2. What is the units digit of ((-8)\/6)\/(i\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-81)\/(-20) - (-588)\/(-420) and -27\/412.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2430538046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**3 - 2*s**2 + 20*s + 8. Let p(t) = -2*t**3 + t**2 - 7*t - 3. Give -8*p(x) - 3*v(x).\nAnswer: -2*x**3 - 2*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -2 (c) 30\/13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (8 + -5 - (4 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66)\/9*6\/(-4). Suppose -b - 39 = -5*j. Suppose -4*o = 12, -22 = -w + 5*o - 4. Solve 0 = 5*t - w*t - j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/8)\/((-12)\/(-24)) - 7. Solve 0 - 3\/2*j + 3*j**v = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198 - 30*i + 19*i + 13*i + 930 as y*i + z and give z.\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1229)\/2)\/(-5 - (-63)\/14) is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 7.4. Let h = -0.3 + 0.7. What is the third smallest value in z, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, 4, 25, 5, 3.\nAnswer: -1, 3, 4, 5, 17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304699*z**4 + 105*z**2 + 392*z wrt z?\nAnswer: 7312776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2129640?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 79. Determine u so that -30*u - 24*u - 3*u - 7*u + 28*u**2 + 48 - 4*u**i = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 5*s - 4. Let i be m(-6). What is the second derivative of -3*g + 12*g**i - 12*g**2 - 2*g**4 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q**2 - 10*q + 10*q + (-q**2 - 2*q**2 + 2*q**2)*(30 + 15 + 37 + (-2 - 4 + 5)*(2 + 3 - 4)) to the form g*q + s*q**2 + j and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(1081\/23)*((-1)\/(-2))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z + 1. Let r(c) = -586*c**2 - 2*c + 2. What is -2*g(x) + r(x)?\nAnswer: -588*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*i - 2108 + 476 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-8)\/336 + 17\/6. Differentiate 5*r**3 - 1 - 19*r**x + 8*r**3 wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) -0.13 (b) -22 (c) 352 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21405403?\nAnswer: 41, 522083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17854 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + (-1 - (-5 - -46)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195120.\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 48, -51 in descending order.\nAnswer: 48, -22, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39965002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.490887 grams to micrograms.\nAnswer: 9490887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5780 divided by 5780.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231768*f*o*z + 29*f*z**2 + 982*o*z**2 - 864*o - 2*z**2 - 43 with respect to f.\nAnswer: 231768*o*z + 29*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = s - 4527*d + 4525*d, -3*d - 25 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3607*q**2 + 25*q + 16. Calculate h(1).\nAnswer: 3648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 665, 1332, 1999?\n\"Answer: 667*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4634 greater than -5051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 153189 greater than or equal to 153188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 528, 523, 514, 501, 484?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -832850 (base 9) in base 6?\nAnswer: -14332030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from peippppppepipepepepp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112889109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8273 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2741 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*((-9 + 5 - 3)*(-4 + 2 + 1) + 7 + 0 + 1)*(0*f - 2*f + 0*f) + (-3*f + 2 - 2)*(-1 + 6 - 3) + 2*f + 2*f - 3*f + f + 0*f - 3*f.\nAnswer: 53*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*u**3 + 527*u + u**2 - 521*u - 6*u**3 as q*u**2 + m + l*u**3 + b*u and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7140 - 421931\nAnswer: -429071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2814, 10397, 23034, 40725, 63470, 91269, 124122?\n\"Answer: 2527*w**2 + 2*w + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2da - 35cab?\nAnswer: -359c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/(-3))\/((-14)\/(-12) + -1). Let i = -35 + v. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j + 30 = 0. Let x be 330\/25*5*1. What is the greatest common divisor of x and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51.079 - 50.6789992. Let t = d - 0.4. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 659066576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331958*b**3 + 256191*b wrt b?\nAnswer: -1991748*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwld. What is prob of sequence ld?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 3*p)*(-2*p + 7 - 7)*(0 - 1 + 0)*(3 + 2 - 4)*(3 + p - 3).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -177 - 3b9?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -537174 divided by -268587\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2*x + 4 - 3 + x - 5*x**3. Let g be d(1). Let l = g - -12. Solve 3*w = -l, -2*n + 4*w = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -134?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93343, 186646, 279949, 373252?\n\"Answer: 93303*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756560212?\nAnswer: 2, 189140053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 17*n**6\/120 - n**5\/30 - n**4\/12 + n**3\/2 + n**2. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) - -5*-3*sqrt(85))) + sqrt(85) - (sqrt(85) + -4*-3*sqrt(85)))\/(sqrt(30)\/sqrt(6)*5 - (-1*sqrt(45))\/sqrt(9)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46313 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249327015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 332479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4673031911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*g - 3*g. Suppose k + 232 = -q + 4*q, -236 = -g*q + 5*k. Let c = q + -50. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 = 16. Let n(d) = -19*d**3 + 3*d**3 + 15*d**2 + w - 8*d**2. Is n(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-90)\/(-45)*(-136471)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/154*(-2 + 4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/89 or -140\/9?\nAnswer: 52\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 11072.5, 4, 0.01 in descending order.\nAnswer: 11072.5, 4, 0.01, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478223193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (8 - 228)*7\/(210\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000201120 - 22202?\nAnswer: -21001001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.03 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -2*o, 0*o + 4*r + 15 = 5*o. Let q = 18.32 - 17.42. Which is the smallest value? (a) q (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1307168 and -17\/73528200.\nAnswer: 294112800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299993 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 105?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 122 = -4*x, 58 - 17 = 2*x + 5*p. Let h = -23 + x. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {d: 7, r: 1, a: 1, w: 10}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n + 3*v + 15, -5*v = 3*n + 15. Let r(l) = 20*l**3 + 4*l**2 + 4*l + 2. Let k(b) = -21*b**3 - 5*b**2 - 5*b - 2. Calculate n*r(d) - 4*k(d).\nAnswer: -16*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(-1\/30)))\/((f\/((f**(-3\/14)*f*f)\/f))\/f*f))**(-2\/23))**(2\/21) assuming f is positive.\nAnswer: f**(104\/50715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b = 1027 + 5183. Calculate the remainder when b is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2530515.65671 and 29.7.\nAnswer: -2530485.95671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w - 5. Let u be c(0). Put 2, -1, u, -11 in ascending order.\nAnswer: -11, u, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -2100110210?\nAnswer: 2100110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14\/(-2)*(6 - 24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23565\/8 + -2956. What is the common denominator of o and 103\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 > 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 319 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 23392 = 17630. Does 58 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417030 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 4*k + 5. Let f(t) = -t**2 + 2*t + t - 9*t + 3. Let r be f(-7). What is the least common multiple of 15 and n(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 29*x - 34. Does 14 divide j(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 5*j)*(-2 + 2 + 2) - 2*j - j + 0*j - 4 + 2*j + 4 + (2*j + 2*j - 6*j)*(-4 + 3 + 3).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 1007.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 2:12 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/525 + o**6\/150 - o**4\/30 + o**3\/15 + 4*o**2. Suppose a(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -7. Let m be 117\/b - 6\/(-14). Let c be -36*(5\/(-2) - -2). Calculate the greatest common factor of c and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**3*i)**(-3\/2))**(-44))**(3\/8) assuming i is positive.\nAnswer: i**(495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/12 + (104\/12 - 8). Which is the closest to n? (a) -0.1 (b) 1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*v + 69*v + 3*v - 14*v - 343*v - 642*v**2 wrt v?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**4 + 3335*t**3 + 13515*t**2 - 63815*t + 46970 = 0.\nAnswer: -7, 1, 2, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16153 is divided by 475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61819 + 3*j - 61819.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.61 rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 20, 22, 24, 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2334 is divided by 1096?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(7\/2)*n)\/n*n*(n**(-38)\/n)\/n assuming n is positive.\nAnswer: n**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*u = -7, -5*u = -l - 7*u. Solve l*x + h + 1 = -2, 0 = x - 3*h + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - 3*m**3 + 0*m**3. Suppose 2*i + 4*j + j = -2, 4*j - 38 = 5*i. Let t(y) be the second derivative of y**5\/20 - y. Give i*l(s) + 5*t(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -h, 4*n + h = -3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26182 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1150, 2281, 3412, 4543, 5674?\n\"Answer: 1131*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 90608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4900 and 866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsz when three letters picked without replacement from {s: 1, z: 3, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((60\/(-9))\/(-5))\/(10\/45). Let y be ((-42)\/(-10) - 1)\/(b\/30). Solve 3*i - 7*i = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27341 (base 8) to base 3.\nAnswer: 121110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -356 + 367. Solve -s + c = 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57627 and 2356.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128) + sqrt(128) + 0 + sqrt(128))**2)*1.\nAnswer: 8*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*q + 480. Let v(b) = 2*b**2 + 6*b + 11. Let y be v(-10). Let s = y - q. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 + 25*t**4 + 27*t**3 - 9*t**2 - 14*t.\nAnswer: t*(t + 1)**2*(t + 7)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168785.\nAnswer: 5, 33757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 21*p - 9. Let s be n(-15). Let v = -65 - s. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -82. Let r = b + -61. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -66076, -133748, -201420, -269092, -336764, -404436?\n\"Answer: -67672*b + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.81 - 1.79. Let m be 10\/(-5)*(-10)\/(-15)*-3. Which is the biggest value? (a) 2\/3 (b) 3 (c) m (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87408069 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 + 16*w - 1. What is the remainder when 559 is divided by h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 20*s - 148. Let q be t(7). Let f(m) = 0 + m - 2 + 5*m + 2*m + m**2. What is f(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2430 = -7*h + 309. Let x = h + 306. What is the highest common divisor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:20 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/7 + 5*t\/7 + 4\/7 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccqqccq. Give prob of sequence ccqq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -600 - -1212. Is x a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243295 (base 12) in base 10?\nAnswer: 586193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 887027.2 microseconds?\nAnswer: 0.8870272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/5, -1, -29 in increasing order.\nAnswer: -29, -1, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.96 + -26. Let r = -0.3 - -0.24. Let m = r + w. Sort -5\/3, m, 5 in descending order.\nAnswer: 5, m, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*p + 12*p + 21*p - 390 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*w + 3*w - 255*w to h + a*w and give a.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168042 - 43018829\/256. Find the common denominator of 25\/1272 and t.\nAnswer: 40704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 11224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -7 - 2 - (51 + -21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14378225 * 0.5\nAnswer: 7189112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 139.\nAnswer: 83.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3020 + -2173?\nAnswer: -5203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -905*k**2 - 8*k**3 + 7*k**5 + 905*k**2 - 3*k**5 + k**5 + 0*k**5 + (3*k**2 + 4*k**2 - 5*k**2)*(-6*k**3 + k**3 + 2*k**3).\nAnswer: -k**5 - 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/272 and -151\/144.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 3, -73*o + 21 = -76*o - 2*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3)*(-16)\/4. Suppose 0*g = -l*g - 40. Is (-35)\/7*28\/g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*g**3*i - 6033*g**3 - 175*g**2 - 85*g - 9*i wrt g.\nAnswer: -186*i - 36198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22563123169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*h - 19 = -41, h + 12 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11711\/2 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 - 391198336*l\/3 - 19129517261146112\/3.\nAnswer: -2*(l + 97799584)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from qqqqssqqqqqqqqqqqq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 5. Suppose -a + 6*a - 755 = -5*i, -5*i = -a + 175. Let w = a - 152. Calculate c(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33501559 from 274.8459.\nAnswer: -33501284.1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 49 = 4*o. Let v(c) be the second derivative of -1\/10*c**5 + 0 + 1\/6*c**4 - 1\/15*c**6 + 0*c**o + c + 1\/3*c**3. Find f, given that v(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 7*g - 11. Let t be l(9). Let j = -14 - t. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:01 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 5 + 5. Let c(n) be the third derivative of -n**6\/180 + n**4\/12 + n**2. Let p(w) be the second derivative of c(w). Give p(o(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -7*j + 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (4 - -6) - (-1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000345448607 to 7 decimal places.\nAnswer: 0.0003454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 202114?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/804 and 155\/3036.\nAnswer: 203412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 - 0.8. Let w = c - -5. Which is smaller: 1\/2 or w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 7 + -10 - (-6 + 3 + 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 7. Let p be z(9). Suppose 0 = 4*v - p*k + 41 - 443, v - k - 102 = 0. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 10*t + 24. Let f be v(-7). Suppose -3*d - 51 = -2*a, 0 = f*a + d - 88 - 5. Suppose 6*l = 102 + a. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - 7 - -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 18*h**2 + 8*h - 10. Let b be w(18). Are 134 and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928646 is divided by 364?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.29, -1, -0.3 in descending order.\nAnswer: 3, 0.29, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 7. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:00 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -307\/2. Calculate the common denominator of p and (-8)\/12 - (-17)\/(-33).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 17*v**2 + 80. Let m(z) = -z. Determine w(m(t)).\nAnswer: 17*t**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (15 - (-1 - -27 - -2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9628030 and 221605?\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.087 + -0.113. Let y be 2\/6 + (-2)\/15. Let s = -0.0226 - -0.5226. Which is the closest to y? (a) s (b) 2\/21 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1782 + 1770 = -12*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29496 is divided by 455.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 396 divided by 292863\nAnswer: 132\/97621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2))\/(u\/u**(-2\/3)))\/(u*u**(4\/7)*u*u**(-2\/5)) assuming u is positive.\nAnswer: u**(-701\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*g**2*u + 4*g*u + 2*g - 39*u wrt g.\nAnswer: 248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 + 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 64*y + 13. What is z(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(13\/4) + 6*6. Calculate the highest common factor of 28 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197419\/376971 + -2\/17951. Find the common denominator of i and -127\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/4)*n)*n)**(-6)*(n*n\/n**(-2))\/n**(-5\/6)*((n**(-2\/3)\/n)\/(n\/n**2))\/(n*n\/(n*n*n**0\/n))**1 assuming n is positive.\nAnswer: n**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 12*t + 204. Let q(h) = h**3 + 20*h**2 + 37*h - 27. What are the prime factors of q(t)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2. Let q(g) = 2*g**2 + 4*g - 33. Let a(l) = -3*l**2 - 10*l + 54. Let p(j) = 2*a(j) + 5*q(j). Determine o(p(r)).\nAnswer: -80*r**4 + 2280*r**2 - 16245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 = -3*r. Let d(q) = 63635*q - 15. Let n be d(r). What is n rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154426 (base 9) to base 7.\nAnswer: 544212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**2 + 14*y**2 - 6*y - 7*y**2. Give o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-2*(-3)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6961*d = 6958*d + 62103. Is 65 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 - -137. Let t be (m + -4)\/(-4 - (-3 + 1)). What is the third biggest value in t, -0.6, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2401) - -1*(sqrt(2401) + sqrt(2401)*-1))\/(sqrt(7) + (sqrt(7) - (-1*sqrt(49))\/sqrt(7)) - 1*sqrt(175)).\nAnswer: -7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -246026420978949 minus 0.4?\nAnswer: -246026420978949.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.93 + 0.07. Suppose -8*u = -0*u - 24. Suppose -u*n + 3 = -3. Is n less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1, 29, -5, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*j**3 + 8\/5*j + 4\/5*j**4 + 0 - 4\/5*j**5 - 4*j**2.\nAnswer: -4*j*(j - 1)**3*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 114 + 132 = -2*f, 4*f + 5*z + 27 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h - 2*h - 3*h)*((-3 - 3 + 5)*(-1 + 2 - 3) - 3 + 4 - 2) to c*h + i and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - (38 + (-9 - -79)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/16497 and -115\/113646.\nAnswer: 1022814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(27) - (sqrt(3) - (4 + sqrt(12)\/sqrt(4))))**2 - (sqrt(12) - (sqrt(1728) - (sqrt(1728)*2 + sqrt(1728))))\/sqrt(4)*-1.\nAnswer: -23*sqrt(3) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-3 + 3\/(2 - -1)). Factor 0 + 4\/7*n**3 - 2\/7*n**4 - 2\/7*n**2 + q*n.\nAnswer: -2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + -5 + sqrt(700) + -1 - (sqrt(700) + 1 + 1 + sqrt(700) - (sqrt(700) - (sqrt(700) - ((sqrt(700) + 1)*-6 + sqrt(700))))))**2 + 2)*-3.\nAnswer: -76275 - 5400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*p*u*w - 5723*p*u + 68*p*w - 4*p - 6*u*w + 18*u wrt w.\nAnswer: 24*p*u + 68*p - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82*16\/64)\/(535\/(-214)).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1616292 and 12852.\nAnswer: 33942132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 104*k - 65. Give i(-10).\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32323?\nAnswer: 32323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.6 + -434.6. Let k = n + 386. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:25 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) 0.083 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 1048 = 105*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 602 and 1118.\nAnswer: 7826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -2.1. Let t = -415.1 - -415. What is the nearest to t in j, 1, 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*i - 15, 5*q - 2*i = 1 + 9. Suppose q = -10*z + 39 + 11. Solve 0 = -2*v - 5*m + 14, 2*m + 4 = z*v - m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-12)*30\/(-4). Suppose -8*n + 9*n = o. Let v be ((-6)\/n)\/(2\/(-10)). Solve -3*i = -2*i - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 329 and 30 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7916, -15811, -23694, -31559, -39400?\nAnswer: -47211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*y + 2*y + 150, -y - 5 = 0. Suppose 5*l - 5 = -0*k + 5*k, l = 5*k + m. Let g be (4 + -6)*k\/(-4). Sort 3, g, -4 in decreasing order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24089 and 551213?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1639789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 25. Let h(z) = 7*z - 50. Determine 5*a(q) + 3*h(q).\nAnswer: q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6\/(-2)) + 6. Let j = 55 + 4. Let y = j - l. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w - 6*w**3 + 4*w**3 + 7*w**3 - 7*w + 5*w**2 + 9*w**3 as n + u*w + a*w**3 + r*w**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r**2 + 5. Let o(l) = 2*l**2 + 1 + 5 + 0*l**2 + 0 - 13*l**2. Calculate -5*m(b) + 4*o(b).\nAnswer: 6*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 641015, -13, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*n**5 + n**4 + n**3 + 102182*n**2 + 2 wrt n?\nAnswer: -12960*n**2 + 24*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-23)\/(-5))\/(2\/5). Let h = o + -11. What is the third smallest value in -3\/4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -112. Let q = n + 61. Suppose 10 = -3*z + 82. Solve -2*j + z = 3*p + 3*j, q*j = p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001359 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012 (base 3) to base 4.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -165, -248, -331, -414, -497?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006096 to 5 decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/20)\/(3\/144). Let q be (l\/(-42))\/((-1)\/(-7)). Let o = 0 - q. Is -6 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4\/5)*h)\/h**(-8))**(-39))**(-2) assuming h is positive.\nAnswer: h**(3198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.166396 centimeters in millimeters?\nAnswer: 71.66396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2, -5676.92?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 499 + -512. Let q(r) = r**3 + 13*r**2 + 2*r + 14. Give q(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*l = -1, y + 2*l + 22 = 5*y. Let s(d) = d + 3. Let k be s(3). Let p be 662\/(-3) + y\/k. What is p rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 6, l: 4}. What is prob of sequence op?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62703.0033119 - -62703. What is d rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.1. Let a = 1549 + -1550. Let m be 1\/(-1) + -2 - 0. What is the nearest to a in f, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 14084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*c*c\/(c*c**(1\/4)*c))**(1\/4)\/((c*c*c**(-2\/5)*c*c*c\/(c\/c**(-3\/8)))\/(c**(-3)\/c**(-1\/2))) assuming c is positive.\nAnswer: c**(-603\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -928, -884, -866, -868, -884?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111813 divided by 39\nAnswer: -2867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3922974173007951.0000133 - 3922974599693416. Let q = -426685743 - m. Let d = -278 - q. What is d rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 237 + -105.94.\nAnswer: 131.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 4*l**2 - 2*l - 4. Let b be g(-3). Let d = b - -44. What is the highest common divisor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-12)*2*1. Let u be (-28)\/6*(3 - 0). Let q = u - -17. Solve 0 = -c + a, -3*g - 3*c + 0*c = -q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -43, -59, -77, -97, -119, -143?\n\"Answer: -h**2 - 11*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101215 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9988 + -9757. What is the highest common factor of 1375 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -75*n + 5847. Give j(77).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483644 is divided by 14217?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235125960 and 15463.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2053631 from 51.\nAnswer: -2053580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(0 + -2 + 1). Let v(j) = -j**3 + 2*j**2 + 24*j - 65. Let l be v(3). Sort 8, u, l in ascending order.\nAnswer: l, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j + 8857 = 9717 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 3*x + 47. Let w be v(4). Solve -3 = 3*c + w*d, -3*c + 5*d - 1 = -6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021102211221 - -21?\nAnswer: -2021102211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h + 4 + 10 + 6*h - h. Let z(m) = 12*m**2 - 24*m + 3. Let l be z(6). Let r = l + -283. Determine v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*o**3 + 199*o**3 + 214*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgig when four letters picked without replacement from {r: 2, g: 2, b: 4, i: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -5, -132\/5, 2\/21, 14 in descending order.\nAnswer: 14, 0.6, 2\/21, -5, -132\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w**3 + 67*w**2 + 3*w + 2. Calculate y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1, 4, -3, -0.5, 1.07?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9274.53415226 + -9.42391774. Let t = a + 9284. What is t rounded to three dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:05 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 4*g**4 - 2*g**3 - 4*g**2 + 3*g.\nAnswer: -g*(g - 3)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -0.0728\nAnswer: -0.16744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.001, -40, 2\/9, 1\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246346362.\nAnswer: 2, 623173181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -41, -2, 0, 5 in ascending order.\nAnswer: -41, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1538811.\nAnswer: 4616433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(539) + -2*sqrt(539)))**2 + ((0 + sqrt(539) + sqrt(539))*3 + (sqrt(539) + 1)*-4)**2.\nAnswer: -112*sqrt(11) + 21576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2756689 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7763 - -5?\nAnswer: 7768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36473\/20 + -1829. Find the common denominator of -2 - (31\/16 - -2) and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 626 - 873. Suppose -g + 0*g + 322 = -2*j, 3*j + 3*g + 474 = 0. Let k = j - c. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 12:30 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 90*o = 1397 - 497, -4*m + o + 4 - 14 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 4. Let h(p) = 2*p + 9. Let k be h(-6). Let l(m) be the second derivative of 5\/2*m**2 - 1\/6*m**3 + 0 + 2*m. Give k*l(j) + 4*y(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.95 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6085.04 - 6338. What is g rounded to 0 decimal places?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 45*c**2 - 8*c - 221. Calculate the remainder when 279 is divided by f(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**4 + 6*h**3 + 27*h**2 + 1448*h - 9 wrt h?\nAnswer: -60*h**2 + 36*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 56680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**3\/3 + 22*a - 2. Determine m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-6\/13)*o*o*(o\/(o\/((o**(9\/4)\/o)\/o*o)*o))\/o*o*o*(o**(-2\/9)*o)**40)**(18\/11) assuming o is positive.\nAnswer: o**(16765\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 11. Let c be d(-11). Suppose v - 11 = -2*h, -11*v + 14 = -9*v + 2*h. Factor 20*t**2 + 39*t + c*t**v - 4*t**3 - 55*t.\nAnswer: -4*t*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let g(q) = 16*q - 11*q - 34*q - 21*q. Let a(u) = -17*u. Let l(t) = -17*a(t) + 6*g(t). What is l(y(n))?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - d + 4113 = 4089, 5*d + 20 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 7 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 3*s**2 + 3*s - 3. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - o**2 - 175*o - 10. Let y be i(0). Let t = -4 + 2. Sort t, -1, y.\nAnswer: y, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -0.093, 22.7, -15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.3 * 3408248.\nAnswer: 45329698.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 361 - -244?\nAnswer: 5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2015169 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3 + u**2 - 2*u - 5. Let l(f) = -2*f**2 - f + 3*f**2 + 2 - 1. Let x be (-1)\/((-9)\/(-6) - 2). Calculate x*l(w) + i(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*n + 18, 614*n - 1234*n = -616*n + s - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 4*o**2 + 7*o**2)*(o**3 + o**3 - 3*o**3 - 2*o**3 + 16 - 16 + (1 + o**2 - 1)*(-5*o + o + 3*o)).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-2\/13))*n)\/n**(11\/2))\/(n**(5\/4)*n**(-22)))**(-2\/53) assuming n is positive.\nAnswer: n**(-853\/1378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = -6. Suppose k*a = 4*a + 54. Suppose -a = -3*q - 2*q + o, 3*q - 27 = -3*o. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**23*c*c))**(-40) assuming c is positive.\nAnswer: c**(-880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - 1.2. Let y = b + 5. Let n = 13 - 18. What is the biggest value in n, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6365*y - 16. Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21194, 21202, 21210?\nAnswer: 21218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-2) + 1\/(-2). Let b be (-20)\/y + (-5)\/15. Suppose -c + 16 = b*c. Solve 0 = -c*i - 2*f - 26, -5*f = -3*i - 2*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v - 41*v + 8*v + 912 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3))\/((f**(-8)\/f)\/f)*(f*((f*f**(2\/11))\/f)\/f)\/(f*(f*f*f*f*f*f**(5\/2)*f*f)\/f))\/(f\/(f**(7\/3)\/f)*f*f**(-16))**(5\/17) assuming f is positive.\nAnswer: f**(10313\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.39 + 0.01. Let o = f - 1.4. Let l = -7.39 + o. What is l rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 12147 + 2991. Let t = 10996 - 17039. Let s = q + t. What is s rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 599 - 2698. Suppose 0 = -5*h, 7*l - 9870 = 4*l - 3*h. Let g = u + l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 - d**4 + 3*d + 8*d**4 - 12*d**4 + 5*d**2 - 6*d**3 in the form u + m*d + f*d**2 + c*d**4 + k*d**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = q - 6, 11*q - 28 = 2*d - 10. What is the second biggest value in d, -962, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 11, 1, 0.3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -23*a - 9*a - 898 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**2 + j + 3. Let h(c) = -c**2 + 1. Let q(y) = -3*h(y) + m(y). Let a(d) = 2*d**2. Determine a(q(l)).\nAnswer: 18*l**4 - 12*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -245520, -979452, -2202666, -3915156, -6116916, -8807940, -11988222?\n\"Answer: y**3 - 244647*y**2 + 2*y - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:07 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -64*l - 123. Let i(o) = -o**2 - 12*o + 160. Let m be i(9). Is z(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 23860*d**3 + 166920*d**2 - 23860*d - 166922 = 0.\nAnswer: -11923, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 6. Let m be g\/(-15) - (-121)\/(-3). Round m to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29043105.1 rounded to the nearest ten thousand?\nAnswer: -29040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 210721.4 millilitres?\nAnswer: 210.7214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/5 - (-135)\/25. Let s be (-15)\/9*c\/2. Which is bigger: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24929 times -18.765\nAnswer: 4.67792685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/9*24\/20. Differentiate -f*n**3 + 7*n**3 + 2 + 0*n**3 + 11 with respect to n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -27*q**2 + 240*q + 29. Give i(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -16566. List the prime factors of f.\nAnswer: 3, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**4 + a**3 - a**2 + a. Let v(t) = 31*t**4 + 4*t**3 + 18*t**2 + 4*t. Let l(c) = 4*i(c) - v(c). What is the third derivative of l(x) wrt x?\nAnswer: -648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44050 is divided by 1776.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/12 + w**3\/6 + 4*w**2 + 20*w. What is the remainder when s(-6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 66 = 23*t. Solve -5*x + t + 19 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2*(-63)\/(12600\/(-550)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/5 - 134*g**2 - 197696*g\/5 - 197024\/5 = 0. Calculate g.\nAnswer: -188, -1, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/9 = -29150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**6\/10 + s**5\/10 + 52*s**3\/3 - 103*s. Find the second derivative of p(l) wrt l.\nAnswer: -36*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Suppose -5*z = 19 + 21. Let h be (z\/(-6))\/(3\/9). Let p(x) = -h - 3*x + 5 + 4 - 4. Determine w(p(d)).\nAnswer: 9*d**2 - 6*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from izziii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 82, 117, 152, 187, 222?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myymmypmpwmpgd. What is prob of picking 1 y, 1 g, and 1 p?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4254*v + 723190. What is d(170)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 6 + 3. Let v(f) = -f**3 - 2*f**2 + 4*f + 5. Let l be v(z). Let n = 20 - l. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/(-2))\/(3 - 2). Let g = -42 + 72. Let i = -17 + g. Calculate the highest common factor of i and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.1780457?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 2831458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401 + 402. Let k = 1 + -3. Sort -4, t, k in descending order.\nAnswer: t, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(20)))**2.\nAnswer: 128*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2721078.\nAnswer: 2, 3, 151171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006662912 rounded to seven decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -919\/36 - -196\/9. Calculate the common denominator of 10\/15 - (33\/90 + 3) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 19*n**3\/3 - n**2 + n + 2. Let f = 11 + -10. Let v be u(f). Solve -4*y - v = 2*x, -2*x - 4*y - 8 = -5*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27341354.95 rounded to the nearest ten thousand?\nAnswer: 27340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 115313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {y: 4, r: 8, z: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -625000*d**3\/3 + 4*d. Let h be m(4). What is h rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 16*h + 1. Let l be a(16). Let j(d) = -5*d - 2 - l - d. Let b(p) = -4*p - 2. Calculate 7*b(y) - 5*j(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -487.75201 to 1 dp.\nAnswer: -487.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -373 and 13548.\nAnswer: 13175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2266 and 235458?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8041563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -2*i. Suppose -3*v + 29 = 4*y, -v + 4*y - 21 + 4 = i. Suppose 2*m - 5*m = -u - 13, 17 = -4*u + 5*m. Solve -v*q + 2*q = u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -2 + 5 + sqrt(245) + sqrt(245) + sqrt(245) + 2 + 0.\nAnswer: 5 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -51. Let x be 3 + (0 - (-17)\/(-6)). What is the biggest value in x, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 s when four letters picked without replacement from ssssisjisisjsjrjsri.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902.17*-0.1531.\nAnswer: -138.122227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.091.\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*u**3 + 58*u**3 + u - u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, -0.5, 0.09, -209.6 in ascending order.\nAnswer: -209.6, -0.5, 0.09, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -185491, -185496, -185497, -185494, -185487, -185476?\n\"Answer: 2*w**2 - 11*w - 185482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -64, -98, -136, -178?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179174270?\nAnswer: 2, 5, 11, 1628857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58710 + -58707. Let c(b) = -b**3 + b**2 - b - 2. Let u be c(2). What is the closest to 1\/4 in -2, s, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 43 - 29)*(1 - 2*n - 1)*(-4*n + 0*n + 5*n) as l*n + p*n**2 + a and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2 - 172*y - 23. Suppose -41 + 4 = -3*z - 4*j, -2*j = 4*z - 66. Does 25 divide s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54359655*t**2 - t - 422601521?\nAnswer: 108719310*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 0*z)*(z + 2 - 2) - 3*z**2 - z**2 + 3*z**2 + 9404*z**2 + 7370*z - 7370*z.\nAnswer: 9401*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2678\/(-4017))\/(-1*(-1)\/36).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*o + 4*o - 44*o)*(0*o**2 + 4*o**2 - 3*o**2) in the form s*o + f*o**3 + n + m*o**2 and give f.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14.968865035 - 26276\nAnswer: -26261.031134965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.65 + -1.21. Let y = -2 + 2.1. Let w = y + k. What is w rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 3) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.46 + -0.504. Let n = t - -0.444. Let z = -3.3 - -8.3. Which is the biggest value? (a) z (b) n (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -18*n**2 + 4*n + 3. Let o be g(-2). Let k be (o\/21)\/((-6)\/(-142)). Let t = -87 - k. Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-15) - (96\/(-2))\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/10)\/((-6876)\/(-45840))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11))**(20\/9)\/((x\/(x\/((x*x**0*x*x)\/x)))\/x)**(-2\/49) assuming x is positive.\nAnswer: x**(-1762\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 544 and 2448.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) 1\/1595 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(21)\/sqrt(3)) - (sqrt(14)\/(sqrt(7)*5))**2) + 4)*-5*4.\nAnswer: -392\/5 - 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222680 and 665?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22670874 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from bdbvdddddddbvbdvdddd.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880206679.\nAnswer: 13, 127, 1138829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486 + -333. What is the highest common divisor of t and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21225, 21226, 21227?\n\"Answer: h + 21224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/13 - 3746*n**4\/13 - 26148*n**3\/13 - 44776*n**2\/13 + 14960*n\/13 + 59712\/13 = 0.\nAnswer: -1866, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7334025 (base 9) to base 2\nAnswer: -1110111100111111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 20*a**3 - a**2 + a - 1. Let v be 4\/(-18) + (-11)\/(-9). Let r be j(v). Suppose -67 - r = -2*x. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + 486\/63. Let q(k) = 3*k + 11. What is the tens digit of q(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*12\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*16\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 9*r - 7. Let f(d) = 2*d**2 - 10*d + 7. Let n(o) = -3*b(o) - 2*f(o). What is n(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9780 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001240601 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by 44\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-236)\/(-885)*3\/16\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let h = w - 0.98. Let i = -0.08 - h. Is i != -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*o - 163*o = -2*v - 70 - 0, v = 26*o + 22 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -37.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8*p\/(p\/p**(-1\/12)))**(2\/25)*(p**(-12)*p**(-9)\/p)**16 assuming p is positive.\nAnswer: p**(-10541\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 302496, 302857, 303218, 303579?\n\"Answer: 361*z + 302135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45916333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193.1 - 98. Let z = -26.9 - d. Let j = z + 121.999797. Round j to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 22 - 12 = 4*z - 5*n, 0*n + 84 = 33*z - 2*n - 279 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - (-69 + 68 + 53).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232 - 439*j**3 + 459 - 227.\nAnswer: -439*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1879700 and 30?\nAnswer: 5639100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 453 = -102. Solve -14*k + 1 - z = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -68, -66, -62, -56, -48, -38?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18825794 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37d9aa (base 14) to base 5.\nAnswer: 442414340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:07 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -318116, -317909, -317702?\n\"Answer: 207*q - 318323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 924244?\nAnswer: 924241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 1825 + 1847. Let u = j + 6683. Let s = 51227\/6 - u. Find the common denominator of 8\/3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, 496, 1403, 2632, 4159?\nAnswer: 5960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, p: 1, n: 2, l: 2, e: 7}. What is prob of sequence tl?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1199708.76 to the nearest 1000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 4. Let j = -2 - 2. Let l be p(j). Let k(w) be the second derivative of w**5\/20 - w**2\/2 - 2*w. Give k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1197898*o*v**3 + 7*o*v**2 + 3*o*v + 123*o + 19*v**2 + 9 wrt v?\nAnswer: 7187388*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 111*p**2 + 135*p + 9. What is the ten thousands digit of k(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55962.\nAnswer: 2, 3, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let s = 81 + -29. Let c(j) = -s - 2*j + 14*j + 52. Calculate k(c(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123 (base 10) to base 11.\nAnswer: -931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -13. Let t(n) = 8*n**2 + 8*n. Let d(w) = -5*w + 7*w - w**2 - w. Let y(v) = x*d(v) + t(v). Factor y(h).\nAnswer: 4*h*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 15, 25, 53, 105?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233390309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -2 + (40 - 58 - -39).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110 - 100011?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*y**2)*(2*y**3 + y**3 + 0*y**3) - 4*y**5 - 3*y**5 + 2*y**5 + (-7 + 7 + 28*y**3)*(0*y + y + 0*y**2 + y**2).\nAnswer: 29*y**5 + 28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3 - 3. Let r(s) be the second derivative of s**3\/6 - 8*s. Give r(t(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19857973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6265, 12068, 17717, 23212, 28553?\nAnswer: 33740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*(-402)\/(-1206)*10\/(-26)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*h)*(0 + 1 + 0) + 2*h + 1 - 1 - 3*h + 4*h - 2*h + (-h - 2 + 2)*(2 - 2 - 2))*(-680*h - 1133*h - 1134*h).\nAnswer: -14735*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1\/10, 0.4 in descending order.\nAnswer: 0.4, 1\/10, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12379401\/8 not equal to 1547426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c0 (base 16) to base 13.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + (4 + sqrt(72) + 2 - (0 + sqrt(72) + -1 + sqrt(72))) + 4))**2.\nAnswer: -144*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -1. Suppose -1 = 3*i - q. Does 15 divide (20\/12)\/(i\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2038 - -2058. Solve -3*c - 5*o = d, 4*c - 5*o + 7 = -8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**2\/f))\/((f**(4\/7)*f)\/f))\/(f*f*f**0*f)**(-2\/97) assuming f is positive.\nAnswer: f**(-346\/679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffffwwfwffff. Give prob of sequence fwf.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -37*l**4\/24 + 103*l**3\/6 - 128*l**2. List the prime factors of d(-8).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2937 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62808.36393 minus 30.9?\nAnswer: 62777.46393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5032 divided by -1\nAnswer: -5032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1899.9 + 1900. Which is the second biggest value? (a) 2 (b) h (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b - 2. Let q(u) = -52*u + 5. Let t(x) = 8*h(x) + 3*q(x). Suppose 0 = 3*o + o + 24. Is t(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291654 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 1680 = 13*g. What is the greatest common divisor of 6 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247474 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136178 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(980))\/(-3*(sqrt(4) + sqrt(100)) - sqrt(4)))**2.\nAnswer: 2205\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/4 - 119*l**3\/2 + 723*l**2\/4 = 0. Calculate l.\nAnswer: -241, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/(-24))\/4 - (-731)\/1113. Let h = -2\/53 + k. Which is the smallest value? (a) 5 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + 1*sqrt(8))*6)\/(sqrt(4) - -6*(sqrt(12)\/sqrt(3) + sqrt(4))).\nAnswer: 12*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2103 or 1925588\/915?\nAnswer: 2103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18342)\/(-2 - 1) + (-20)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 7:37 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -21033332?\nAnswer: 21100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/((-1 - 2) + 956\/316) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350721 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-1105) + 168\/(-476))\/((-363)\/180 + 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 69 - 248 - 206 + 78 - 83 as m + f*p and give m.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 43787.\nAnswer: 4\/43787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -5. Let n be 6\/(-4)*v\/(-3). Is 13 a factor of ((-36)\/(-15))\/(n\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/336 and 41\/174.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*q - 4*q. Suppose 9*b - 170 = q*b. Let d = b + -14. What is the remainder when 59 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s**2\/7 - 1855316*s\/7 + 742128\/7 = 0.\nAnswer: -185532, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/5 - 334104*f**2\/5.\nAnswer: 4*f**2*(f - 83526)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/29 at most 0.2607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y + 8. Let n(h) be the first derivative of h**3\/6 + 7*h**2\/2 - 4*h - 4. Let d(f) be the first derivative of n(f). Determine d(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 9:26 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-55))\/(-1)*5\/(-58).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -409*c + 3. Let p(b) = -819*b + 7. Calculate -4*p(n) + 9*z(n).\nAnswer: -405*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*138\/(-506)*12?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(6 + -1)*(-3)\/(-1). Let u(k) = -6935*k**2 + 3*k + 6. Let o be u(p). What is o rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14238140 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*j + 69 - 261*j + 309.\nAnswer: -3*j + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 - 5*n + 2. Let y be m(7). Suppose b - 4*v + y = 0, -v = 2*b + 2*v - 23. Suppose b*j + 11 - 87 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 17 = j, -b + 3*j + 3 = -4*b. Solve 5*r + 1 + b = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -151149, 1 in increasing order.\nAnswer: -151149, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5845789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*-26 + -5)*-1. Suppose -d*s + 77*s + 102 = 0. Calculate the highest common factor of 459 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 16*d - 2. Let y be h(9). Suppose -5*z - 42 = -3*g + 2, 3*g = -2*z + y. What is the remainder when 22 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 75 = 3. Suppose s*b - 357 = 347. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112\/109 - -20732\/20601. Find the common denominator of x and -57\/7.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38584174 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/7 + (-4)\/(-3))\/((-31)\/93). Let m be 2632\/(-180) + 4\/18. Is l greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a6dc (base 16) in base 12?\nAnswer: 20878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2578\nAnswer: -2\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {h: 2, q: 4, b: 8, n: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3206, 4522, 5838, 7154, 8470, 9786?\nAnswer: 11102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00099245 to five dps.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let a(f) = 371*f**2 + 2*f + 1. Determine a(r(t)).\nAnswer: 3339*t**2 + 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/70 - 5*z**4\/42 + z**3\/21 + 5*z**2\/7 + 3*z + 3. Factor p(r).\nAnswer: -2*(r - 1)*(r + 1)*(r + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105379761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3 - 0. Suppose 2*f + t = f + 125, -g*f + 375 = 2*t. Suppose 2*v + f = 7*v. Solve s + v = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387238732.\nAnswer: 2, 31, 3122893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/5 + 92*d**2\/5 + 182*d - 11760 = 0?\nAnswer: -24, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 4*z**2 - 9*z**2 + (-3 + 3 - z)*(0 + 0 - z) - z + z - 2*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h - 86*h + 37 = -45*h - 8*t, 3*t = 3*h - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2188 - ((-15 - -4) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 216*v**2 + 1209*v + 1217. Calculate l(-1).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 6*c**2 + 24*c. Let j(u) = u + 1. Let w(h) = -6*j(h) + n(h). Let x be w(8). Solve -2*s = -b - 0 - 2, b = -2*s + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + m**2 + 0*m**2 + 0*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 19 - 7 - 7 + 0*p + 2*p. Let i be h(0). Solve -i*k = -3*a, -3*k - 3*a + a = -19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -620.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 0.02 (b) -9\/7 (c) 0.5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/6)\/h**0)**(-42))**(-19))**(-2\/27) assuming h is positive.\nAnswer: h**(266\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 1. Suppose -227*z - 241*z - 456 = -492*z. Calculate the remainder when z is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g - 7. Suppose 3*b + 6 = -4*z, -3*b - 4 + 19 = -3*z. Determine c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*p**3 - 302*p**3 - 347 + 16 wrt p.\nAnswer: -1206*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*x**5 + 54*x**5 - 15*x**2 - 12*x**2 - 107*x**5 wrt x.\nAnswer: 1500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/40 + j**3\/4 - j**2\/2 - 2*j. Factor o(x).\nAnswer: -(x - 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/9))**(-23)*(h\/(h\/(h*h\/h**(1\/4))))\/h**15)**(3\/5) assuming h is positive.\nAnswer: h**(-569\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28946.\nAnswer: 2, 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 234*k**3 + 4*k**2 - 4*k + 2. Let u be d(2). Suppose c + u = 3*c. Let v = 1440 - c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by -1.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 11*d**2 - 6*d. Let l(v) = -12*v**2 - v. What is -3*l(t) + 4*u(t)?\nAnswer: 4*t**3 - 8*t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/6 + 1132*r**4\/3 - 23486*r**3\/3 - 146927*r**2\/3 + 46973*r\/6 + 145795\/3 = 0. Calculate r.\nAnswer: -5, -1, 1, 26, 2243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/46 and -85\/2148.\nAnswer: 49404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0536 times -8409\nAnswer: -450.7224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/12)\/3)\/(288\/(-128))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2662690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 164 + 56?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -1. Let c = 0.1 - m. Let w be (4\/(-6))\/(15\/9). What is the third smallest value in c, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114*1 + 0\/(3\/3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 5*f - 1512 = -1147, 2*o = -2*f + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 11 (b) 291 (c) 1.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -12 + 10 - 12) + -3 - -31.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3084, -3085, -3088, -3093?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}