diff --git "a/data/dm_maths/full_data_1/1224_11255.jsonl" "b/data/dm_maths/full_data_1/1224_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1224_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 457 minutes before 8:07 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 - 3*r + 3*r**3 - 5*r**2 + 0*r + 4 - 5. Let v be k(-4). Let f = v - -1823\/7. Sort 2\/5, 1, f in decreasing order.\nAnswer: 1, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23707*g + 23676*g + 6169 = 0. Is 2578\/13 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, h: 9, a: 8}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*l**3 + 103*l**3 - 394*l**3 + 100*l**3 + 136*l**3.\nAnswer: 43*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/60 - 3\/15. Let v(q) be the first derivative of -2 + q + q**3 + 3\/2*q**2 + a*q**4. Find k such that v(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/15*-17 - -1. Suppose 4*t - u - 26 = 0, t - u + 5*u = -2. Let s be (-25)\/(-15)*t\/25. Are a and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 233727242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-14))\/(3\/(-12)). Let o = y - 2. What is the remainder when 32 is divided by (-11 - -9)\/(o\/34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*m - 15, 3*y + m - 2 = -7. Suppose 3*w - 32 - 1 = y. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.86206331 - 0.13794369. Let y = i + 13. Round y to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - 2) + -2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 406 + 1 - (14 + -13). Let k = 673 - q. Calculate the remainder when 2\/(-5) - k\/(-5) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 33612204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) 19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 1, g: 1, o: 2, w: 1, l: 1}. Give prob of picking 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*g - 719*g - 239*g - 93*g as o*g + z and give o.\nAnswer: -1405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 57. Suppose a = 3*v - 0*v - 18. Let u(k) = 2*k + 3 - 7*k + 4*k - 3*k + v*k**2 - k**3. Calculate u(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 3*d**2 + 9. Let c(n) = -n**3 - 2*n**2 - 5. Suppose -4*j + 2*j + 14 = 0. Give j*c(t) + 4*f(t).\nAnswer: t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7379531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/(-405)*(-18)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - (-3)\/(-1))\/(10\/15). Which is the nearest to -3? (a) -0.3 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*2 + -4 + -4*sqrt(125).\nAnswer: -18*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-2)\/((-2)\/99). Let r(j) = -9*j - 4. Let k be r(-4). Suppose -t - 4*u = -u - k, 5*u = 2*t - 20. What is the greatest common factor of t and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 27238 = -3*k, 0 = k - 5*q - 9084. Let p = k + -5670. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23\/35 + -6\/7. Let h = 42 + -45. Which is the nearest to -0.1? (a) r (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 5 + 5)*(809 - g - 5447 - 185).\nAnswer: g**2 + 4823*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -1205*l**8\/336 - 6*l**4 + 5*l**3\/6 - 77*l**2 + 18*l. What is the second derivative of f(k) wrt k?\nAnswer: -24100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -36*q - 121. Suppose 12*x - 801 - 555 = 0. What is the remainder when x is divided by z(-5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/15 of a minute?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 67*y + 56*y + 369 = 0. Sort 0, -4, 5, y, -40 in decreasing order.\nAnswer: 5, 0, y, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53085287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 283 = 688. Let u be r\/(-30)*(2 + 0). Solve -u*g = -4*a - 0 - 3, 0 = 3*g + 5*a - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = d - 7, 9*x + 15 = 12*x + 4*d. Suppose 0 = k - 3*s, 5*s - x = k + 1. Sort -1, -4, k in decreasing order.\nAnswer: k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31d8 (base 14) to base 2.\nAnswer: 10000110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*n = -0 + 20, 3*y - 16 = 5*n. Which is the smallest value? (a) -4 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**2 + 5*d + 3. Let c be y(-3). Suppose -2*r - c = -4*v - 48, 3*v + r = 80. Suppose 11*q - v*q + 4352 = 0. What is q rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371860.\nAnswer: 2, 5, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091*a + 935*a = -1248 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14356 + 287.85644. Sort y, 1\/5, 0.3 in ascending order.\nAnswer: 1\/5, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/23 or 2\/133?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((0 + -1)\/2). Let l = d + 3. Let v = 0.116 - 0.016. What is the biggest value in v, l, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*((-1)\/(-2))\/((-3)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 8*g**2 - 5*g + 2. Let n be (-84)\/(-6)*(-2)\/(-4). Let w(u) = 2*u + 124. What is the remainder when w(-32) is divided by a(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 9, 2, 5 in descending order.\nAnswer: 9, 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 6941*u - 168972. Give c(-24).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2, 310, -2, -0.03 in increasing order.\nAnswer: -2, -1\/3, -0.03, 2, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 104888816, 209777629, 314666442, 419555255?\n\"Answer: 104888813*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 21*c + 45 = 3*t, 40*c - 36*c + 8 = 64*t - 62*t - 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -124*i + 34*i + 42*i - 80*i - 195*i + 313 wrt i?\nAnswer: -323","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2933, 5866, 8799, 11732, 14665, 17598?\nAnswer: 20531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2 - 50*i = 0?\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*n + 5 = 70*n. Let s be 7 + (n\/(-2))\/((-1)\/2). Suppose -s*r - 480 = -11*r. What is the remainder when r is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2238*k**4 + 13*k**3 + k**2 + 50673*k wrt k?\nAnswer: 53712*k + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/20 + 5*s**4\/3 + 11*s**3\/2 - 45*s**2\/2 - 21*s - 26. What is c(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.05856.\nAnswer: -0.2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 2 - (20 + -29 + 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 1313*b - 1317*b + 7, -5*j - 21 = -16*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1943*k**2 - 1766.\nAnswer: -3886*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 4. Let v be i(-3). Suppose 2*a = -0*a - 6, 0 = v*l - 2*a + 14. Let u = 13 + l. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/3, -6, 2 in decreasing order.\nAnswer: 3, 2, 2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4514 - -4510.1. What is the biggest value in g, 0.1, 0, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 - (-2159)\/432)\/((-6)\/(-516)) and -17\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8770000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 9831.\nAnswer: 9830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 161952*q**3 - 4*q**2 - 59*q + 62. Is o(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 7*b - b + (-3*b + 4*b + 8*b)*(-19 + 8 - 4) - 3*b + 5*b - b + 2.\nAnswer: -127*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -454544 (base 8) in base 3?\nAnswer: -21211012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/63 - (-8)\/(-14) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 106287 = -5*f - 7972, 4*p = 2*f - 39302. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 9) to base 11.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*m**3 + 0*m**2 + 0 - 5 - 55*m**3 - 5*m**2 wrt m.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.966 - -0.6.\nAnswer: -13.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-5)*10\/(-4). Let v(q) = q**3 - 5*q**2 + 7*q - 6. Let g be v(4). What is the second derivative of -b**2 + 4*b + b**l - g*b**3 + 12*b**3 wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -271187957.8 to the nearest 100000.\nAnswer: -271200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97.9 - -102. Let q = -0.037 + 4.037. Which is the second biggest value? (a) 1 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32107 or -2729099\/85?\nAnswer: -32107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27dbb - 3c?\nAnswer: 27d7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -889, -5038, -11953, -21634, -34081, -49294?\nAnswer: -67273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 33\/31 (c) 4 (d) -1 (e) 32\/5 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -29. Let n be 13\/4 - (-2)\/(-8). Suppose 0 = -7*y + n*y + 16, 310 = 3*p - 5*y. What is the greatest common factor of o and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 4 - 2)*(-5 - 2*k**2 + 5).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -416.77 to the nearest integer.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:25 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 4 - (-16)\/(-24))*-3. Solve -20 + v = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*k - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 49*u**4 + 450*u**3 + 3600*u**2.\nAnswer: u**2*(u - 30)*(u - 24)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4525616 (base 7) to base 8.\nAnswer: -2110457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 + 4*p + 6. Calculate o(5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -12*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 291093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7240611183 to the power of 1\/2, to the nearest integer?\nAnswer: 85092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - x + 1. Let j(o) = o**3 + 11*o**2 - 3. Let d be j(-11). Let g(q) = -2*q**3 - 8*q**2 - 8*q + 8. Calculate d*g(p) + 24*t(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 1. Let f(w) = 8*w**4 + 5*w - 3. Let s(g) = f(g) - 5*h(g). What is the first derivative of s(y) wrt y?\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 506 = -3*t, 2*t - 509 = 5*t - 5*v. Let c = -112 - t. Suppose s - c = 11. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 - 4*n - 4. Let c(i) = i**3 - i**2 - 3*i - 4. Let z(j) = -3*c(j) + 2*d(j). Let v be z(0). Suppose -v - 1 = -5*q. Is q greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/(2\/(-3)). Suppose 3*a + k = 346, -112 - h = -a + k. Let g = a - 112. Solve 3*o = -3*t + 3 + g, 0 = 5*o - 5*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124523318 is divided by 19017.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010110 - 1001001000001?\nAnswer: -101010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-16) + (-26)\/(-8). What is the units digit of (-1)\/(-2 + 3) + z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 - w**2 - 47*w**3 - 8*w**2 - 28*w**3.\nAnswer: -75*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 - 229015*m - 229010 = 0.\nAnswer: -45802, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 3) to base 11\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -11)*(-6)\/(-5). Let n be 6\/(-2*(-3)\/w). Suppose 5*q - n + 2 = x, 3*q = -2*x + 6. Calculate the highest common divisor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -409829*r**2 - 409806*r. Give o(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 4*k**7\/105 - k**5\/20 + 3*k**2 - k. Let s(w) be the first derivative of l(w). What is the third derivative of s(h) wrt h?\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/((-129)\/3 - 3)). Let m be 3\/(22 + -4) - f\/(-6). Let q(z) = 5*z - 2*z + 11 + m*z**2 - z**3 - 12. Calculate q(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1552763*t. Let w(u) = -9*u - 1. Calculate w(l(z)).\nAnswer: -13974867*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -81*r - 9. Let a(k) = 3*k + 1. Give -9*a(q) - t(q).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-10) + 3)*5. Suppose 5*o + 2*d - 50 = -v*d, -2*o = d - 18. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.8 + -91. What is j rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 3*x**2 - 12*x - 13. What is the hundreds digit of q(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 - 7*j + 8. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843*d**2 + 1689*d**2 - 4 + 4 + 11682*d**2.\nAnswer: 12528*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 55. Which is the second smallest value? (a) y (b) 0 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.99348 millilitres to litres.\nAnswer: 0.05899348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5324 + 8.\nAnswer: 5332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 11363696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-16))\/((-2)\/32). Calculate the greatest common divisor of 36 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.5. Let l = k - 0.2. Let g = -389 - -1169\/3. Which is the third smallest value? (a) -1 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 0*1\/(-3). Solve w + 30 = -k*w - 3*r, 2*r = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 10*m**2 - 11*m - 2. Let y be q(-9). Suppose -4*s - 16 + y = 0. Solve s = 2*a - a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525 = 11*w + 536 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnx when three letters picked without replacement from {x: 2, n: 1, j: 3, s: 3, h: 3, v: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 21*o - 51. List the prime factors of t(19).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -529e5 - 19?\nAnswer: -529fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18562*s**2 + 184*s + 18541*s**2 - 191*s.\nAnswer: -21*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6121, -12181, -18241, -24301, -30361?\nAnswer: -36421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -570\/59003 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 66*f + 130.\nAnswer: (f + 2)*(f + 130)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40383 + 8683. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110 - 1000101010?\nAnswer: -1010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5*(-5 + 1 - -39). Calculate the highest common divisor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3456) - (sqrt(3456) - (sqrt(3456)*-2 - sqrt(3456)))) + sqrt(3456))\/(2*sqrt(192)))**2 + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2987\/720 + 29\/144. Find the common denominator of s and 93\/20314.\nAnswer: 203140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763114 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 8*x + 15 + x in the form q*x + v and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24324502 + -1?\nAnswer: 24324501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 6*i**2 - 10*i - 10. Let v be -6*(-3)\/(6\/(-4)). Let p = 5 + v. What are the prime factors of f(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 plus -1298562822560?\nAnswer: -1298562822560.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 42 = 3*l. Suppose 2*r + 4 = 84. Let c = r - l. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/6 + 9*k**4 - 511*k**3\/3 + 3808*k**2\/3 - 5491*k\/2 + 4913\/3.\nAnswer: -(k - 17)**3*(k - 2)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 + -198.5. What is the nearest to 9 in 2, m, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -27a0?\nAnswer: -279a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + (-189)\/42)\/(3\/2). What is the fourth smallest value in 4, k, -99, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/4113307 and -25\/44.\nAnswer: 16453228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/4)\/((-3)\/12). Let d = 9 + t. Let y(i) = i - 3. Calculate y(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/((-6)\/(-12)))\/(56 + -46). Factor 3\/2 - 1\/10*n**2 + f*n.\nAnswer: -(n - 5)*(n + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w - 17*w + 3*w - 18*w - 3964 + 15*w as l + h*w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 3. Let y be x(-6). What is the tens digit of 26\/y*3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -1\/29, 49, 1\/4, 1 in ascending order.\nAnswer: -8, -1\/29, 1\/4, 1, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(65)\/sqrt(5) + 3)**2 - (sqrt(832) - -3*sqrt(832)).\nAnswer: -25*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18175 - 18163. Calculate the remainder when 1790 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 360433 = -367224. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663419717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*z + 5*h + 20, -2*h - 14 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*q - 24, 2 + 8 = 2*q + 2*h. Let p = 109 + -111. Let z = q - p. Solve 2*m - 3 - 5 = s, -3*m + 3 = z*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*y**4 + 5 - 2*y - 5 + 2*y**4 + (-y + 3*y - 3*y)*(-4*y**3 + 7 - 7).\nAnswer: 8*y**4 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) -0.3 (c) 9 (d) -0.024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60958.5 millilitres in litres?\nAnswer: 60.9585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 10*y**4\/9 + 270848*y**3\/9 + 1029110*y**2\/9 + 866584*y\/9 - 24072 = 0.\nAnswer: -27081, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -512670882*m**3 - 226580256 wrt m.\nAnswer: -1538012646*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/6 - 78701*h\/6 + 6988547\/3 = 0. What is h?\nAnswer: 178, 78523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.003 - 4.997. What is the biggest value in 2\/5, -0.7, a, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 680 = -8*l + 6*l, -1700 = -5*l + 4*p. Calculate the remainder when 1021 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 1. Let o be q(2). Let n = -6 + o. Factor -6*c**3 + 11*c**2 - n*c + 2*c**5 + 0*c**2 - c**2 - c - 2*c**4.\nAnswer: 2*c*(c - 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 26 + 9 = 0. Let p(w) be the third derivative of 1\/630*w**7 + 0*w**3 - 1\/180*w**5 + 0*w + 0*w**6 + f*w**2 + 0*w**4 + 0. Factor p(z).\nAnswer: z**2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 - (8\/6)\/((-24)\/72) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30502069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51935593933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.138 + -1.118. What is the smallest value in 0, 7\/2, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 562 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -11 + (49 - (-90 - -125))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219.18 + -219. Which is smaller: -2.7 or h?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1881 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -546187 and -3?\nAnswer: 546184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4931 * 0.047\nAnswer: -231.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-4)\/(-18))\/(32\/(-408)). Suppose -8*u + m*u = -27. Let d be (4 - 0\/(-2))\/6. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-32))\/(306\/408)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4717 (base 11) in base 14?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8668*v + 52011. Calculate m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 190. Let k be b(-32). Solve 4\/9*q**k - 4\/3*q**3 + 32\/9*q + 16\/9 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -315 + -28b9?\nAnswer: -2bce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) 1\/13 (c) 64933\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 57.11, 2, -1\/17, 0?\nAnswer: 57.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1088) + sqrt(1088) + 1)**2 + -4)*4 + 5 + (-2*sqrt(1700)*1 - (2 + sqrt(1700) + 0 + sqrt(1700))).\nAnswer: 88*sqrt(17) + 17391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 18*q**2 - 13*q - 19. What is the remainder when r(17) is divided by 2\/(-5) - (-10664)\/310?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (465\/2)\/((-13)\/((-2184)\/18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*x - 91 = 105, r + 3*x = 98. Suppose -3*n - 2*l = 80, -3*l = 3*n - 8*l + 73. Let s = n + r. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r - 17*r**2 + 0*r**4 + 0*r**5 - 1\/42*r**7 + 0 + 7\/3*r**3 + 0*r**6. Find the first derivative of a(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2\/(-12) - 3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*i - 2 = 0, 0 = k + k + 5*i + 5. Solve -2\/13*b**4 + k*b + 0*b**3 + 2\/13*b**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -0.4, 3\/10 in descending order.\nAnswer: 46, 3\/10, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:10 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {g: 12, r: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1318 divided by -2\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 1. Suppose -b + 3*d - 2 = 0, -1 = b + 2*d - 4. Let w be a(b). What is the units digit of 208\/w*(-5)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-88)\/(-33)*(-13)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4918240512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0, -6, -2 in descending order.\nAnswer: 45, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 164*q - 1447. Let c be f(9). Solve -5*o - c = -6*x + 2*x, -16 = 3*o - x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -6\/17, -0.3 in increasing order.\nAnswer: -6\/17, -0.3, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. Let i(g) = -g - 19. Let c be i(-17). Suppose 59*p - 2*o - 18 = 55*p, 4*o + 12 = -4*p. Sort v, c, p, 1 in ascending order.\nAnswer: c, v, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvvjvjjjjvjjjvjjjj. What is prob of picking 3 v?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.009284 and 0.2?\nAnswer: 0.0018568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**4\/4 + 2*g + 5. Suppose s - 4*s + 6 = 0. Give v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 10 = 0. Suppose -u - s = 4*a - 0, -u - a = -1. Suppose 0 = 2*n + u*n - 20. Solve 0 = -n*j + 2*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**3 - n**2 - 3*n - 2. Let g be c(-1). Let w be 26\/91 + (-29)\/14*g. What is the highest common divisor of w and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4024413 (base 5) to base 13\nAnswer: 233a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u + 308 = 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245 + -52. Let a = m + 137. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175870728.\nAnswer: 2, 3, 11, 222059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzsszzzszzzzzzsz.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*k**2 + 2*k + 56*k**2 - 2*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 12*j - 39*j + 370. What is the remainder when 623 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 + -201. What is the least common multiple of s and 1 + -1*(-6 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13850210827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119817*p - 149 - p**2 + 34 - 119818*p to q*p + d*p**2 + a and give a.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/9 and -61\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1188 and 4.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l + 13*l**4 - 2*l + 36*l**3 - 5*l**2 - 12*l**4 - 2*l in the form r + w*l**4 + q*l**3 + h*l + a*l**2 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2)*6 - sqrt(3) - -1*sqrt(3)*3) + (sqrt(3) - sqrt(30)\/(sqrt(10) + sqrt(10)*4 + sqrt(10)) - (sqrt(75) + 1)**2) + 0.\nAnswer: -76 - 7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = 7. Let c = q - 2. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3268 = 74*v - 31*v. What is the highest common factor of v and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - 2*v. Find the third derivative of -10*o**6 + 22*o**2 + 15*o**6 - v*o**2 wrt o.\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 11 + 50 - 2*z. Let t(x) = 6*x - 38. Let j(m) = -5*f(m) - 6*t(m). What is the first derivative of j(o) wrt o?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 6*g - 3. Let a = 39 - 67. Let d = 32 + a. What is s(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 10. Let t be g(-10). Let n be (-76)\/t - 12\/4. Let 0 - n*q + 2\/5*q**3 - 2\/5*q**2 = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1676, -1688, -1714, -1760, -1832, -1936, -2078?\n\"Answer: -j**3 - j**2 - 2*j - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p**3 - p**2 + 11*p + 1. Let v(n) = 17*n**3 - n**2 + 10*n + 1. Let w(s) = -4*j(s) + 5*v(s). What is the second derivative of w(o) wrt o?\nAnswer: 78*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 22\/8713835?\nAnswer: 22\/8713835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = a + n, a - 5*n - 135 = -8*n. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58aa30 (base 14) in base 6?\nAnswer: -144504430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13036, 52304, 117756, 209398, 327236, 471276, 641524?\n\"Answer: r**3 + 13086*r**2 + 3*r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 412557960*c + 517487627 with respect to c.\nAnswer: 412557960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.591040784869 - -0.2\nAnswer: 3.791040784869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g - 10 = 0. What is the remainder when 4 is divided by g\/10*(-1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -43*k**3 + 518*k**2 - 22*k - 12. Give u(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3217*z + 27*z**2 - 2*z**2 - 6435*z + 3257*z as b*z + p*z**2 + t and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*c - 63, 5*o + 0 = 5. Suppose -5*l + 4*b - c = 0, 2*b + 5 + 19 = -2*l. Let j = l + 14. Solve 2*k = j*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:18 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 69729\/2129 and 34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - 35\/(-2). Let t be ((-15)\/(-6) + -1)*94. Suppose 3*r - 114 = t. Calculate the greatest common factor of r and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -411\/5 + 82. Which is the biggest value? (a) 1\/4 (b) -3 (c) -5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 1\/20*j**5 + 2\/3*j**3 - 1\/6*j**4 + 5*j - j**2 + 0. Calculate m(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 + 117815*k**2 + 235633*k + 117817 = 0.\nAnswer: -1, 117817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 311929756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3485364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3206 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 2*x + 4. Let k(i) be the second derivative of -i**3\/3 - 3*i**2\/2 - 81*i - 1. Let z be (-16)\/(-9) + 4\/18. Give z*f(n) + 3*k(n).\nAnswer: 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7270745 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 7*q. Let p = -13 - -19. Let b = 14 - 8. Calculate the least common multiple of b and c(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Suppose -i*g + 5*y = -49, g - 2*y - 38 = -g. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmy when three letters picked without replacement from {m: 2, q: 11, y: 2}?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 - 200. Let n be b\/15 - (-20)\/(-12). What is the second biggest value in -0.4, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 4*i. Let k be s(3). Let m = 0.157462 - 0.087462. Sort k, m, 4.\nAnswer: m, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 886 and 918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.034 - 0.046. Which is the smallest value? (a) -0.2 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4563 + 4.\nAnswer: 4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73 + 56 + 142 - k + 391 to the form i + j*k and give i.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - 50\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -4 - 1\/4*k**4 + 0*k**2 - k**3 + 0*k. What is the third derivative of h(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.5553 to 1 dp.\nAnswer: -52.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m - 9. Let x be n(6). Let v = -37 - x. 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: Let r = -414 + 36. Let z be -1 - (-2 - -3) - r. Suppose z = 5*v - 109. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 4\/45 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324159, -646763, -969367, -1291971, -1614575?\nAnswer: -1937179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1 - 2 + 4 + l. Let t(i) = 2*i**2 - 2*i - 1. Let k be t(-2). Suppose -4*g + 3*o = k + 1, -5*g + 4*o = 15. Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -14. Suppose -r + 21 = 2*r. Sort -5, k, r in ascending order.\nAnswer: -5, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97513061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2307 and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(612))**2 + 4 - sqrt(612)) + -4 + sqrt(425) + sqrt(425)*1 + -5 + sqrt(425) + 5.\nAnswer: 9*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005695 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3*b**2 - 3. Let v = -23 - -28. Suppose -v*z + 5 = 4*i, 0*i = -3*z + 2*i - 19. What is q(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873820 smaller than 873819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 0.72. Let l = -0.02 - y. Sort 1\/4, l, 2\/13 in descending order.\nAnswer: 1\/4, 2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03606 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 229\/5?\nAnswer: 229\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2230 + 37851?\nAnswer: 41181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - t + 19. Let r be c(0). Let n = 28 - r. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 195. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2137.8 rounded to the nearest 10?\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:11 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 50*s - 40*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and -146707534200.\nAnswer: -146707534199.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 26501 - 492 = -2*k, 4*k - 2*i - 53946 = 0. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3768065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*n**5 + 3*n**5 + 0*n**2 - 5*n**2 + 2*n**5 wrt n.\nAnswer: 1380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/512 and -85\/12608.\nAnswer: 100864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -160? (a) -3\/31 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*k)*(-4 - 3 + 3)*(2*k + 0*k - 18*k)*(-7 - 1 + 2).\nAnswer: -1536*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 517 and 23203853.\nAnswer: 255242383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247862.5 weeks to minutes.\nAnswer: 2498454000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -3\/14, 44\/67, 3, -4\/5?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241033 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96666 divided by -2?\nAnswer: -48333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o + 3*o)*(3*o + o**3 - 3*o) - 167*o**4 - 113*o + 113*o - o + o + o**4 - 4*o + 4*o + 5*o**4 as z*o**4 + b + n*o + i*o**2 + k*o**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:27 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 18*q**2 + 9*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Solve -i*x = x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14739 - 47*g**2 + 150*g**2 + 49*g**2 - 14736 - 5*g.\nAnswer: 152*g**2 - 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 divided by 2?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -8, 20, -54, -0.3 in descending order.\nAnswer: 20, -0.3, -8, -44, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3\/5 - 1304*g**2\/5 - 21076*g\/5 - 19776\/5 = 0.\nAnswer: -309, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 20*b**2 + 6*b - 48. Let g(f) = 3*f - 2*f + 591*f**2 - 16 - 1225*f**2 + 641*f**2 + f. Calculate 14*g(h) - 5*q(h).\nAnswer: -2*h**2 - 2*h + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*k - 31 = 17, -4*k = 0. Let j be (-16)\/o + (-40)\/(-6). Let n = j + -3. Solve 0 = 3*w - 12, n*d - 3*w + 22 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(60)\/(sqrt(12)*1*6).\nAnswer: sqrt(5)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 5. Let q = -27 - -42. Let u be (-5)\/(q\/6) + 7. Find the common denominator of i(u) and 77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*w - 181*w + 3445 = -7115 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40410302 + -41?\nAnswer: 40410231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 20*j + 7*c, 3*j - 2 + 2 = -0*j - 2*c - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -78, -1\/6, -19, -0.4, -1\/3, -1, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 6*b + 15. Let d be a(8). Let t(k) = -69*k**3 - k**2 + k + 1. Let c be t(d). Factor c*f - 32*f - 31*f + 2 - 3*f**2.\nAnswer: -(f - 2)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 65*a**2 - 9*a. Let d(x) = 252132*x - 2 + 2 - 252131*x. Calculate r(d(b)).\nAnswer: 65*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -27*k + 8. Let h(w) = -82*w + 23. Give -6*h(m) + 17*o(m).\nAnswer: 33*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 43*n - 24 + 43 to c + r*n and give r.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - (sqrt(65)\/sqrt(5) + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16*(-7)\/((-42)\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -32*j + 8*j - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 8*l - 3 + 3 - 32 + 6 to o*l + i and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2946207.\nAnswer: 3, 11, 73, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 9) in base 6?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*a**2*g*h + 27476*a**2*g + 3*a*g*h + a - 3516*g*h - 7 wrt a?\nAnswer: -78*g*h + 54952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00015 and 0.04.\nAnswer: 0.03985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293841 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 366 + 370 - 736 - 101*j**4 - 2*j + 2*j**2 wrt j.\nAnswer: -2424*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -312053*t**3 - 10*t**2 - 2187616*t - 2.\nAnswer: -1872318*t - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44791804 or -1\/4?\nAnswer: 44791804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g)**(2\/7) assuming g is positive.\nAnswer: g**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19705732.48 and -59.4?\nAnswer: 19705791.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6225 and 14\/1325.\nAnswer: 329925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*v**2 + 3704*v wrt v?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*z**3 - 66*z**3 - 65*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107328720.\nAnswer: 2, 5, 97, 142697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2203 (base 6) to base 9\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0738 rounded to 1 decimal place?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + p + 19 = 0, -21*j - p = -16*j - 11. Let l be -2 + (-88)\/(-18) + -1. Which is bigger: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 371 - 87 = 0. Let q = c + 13. Suppose 0 = -u + 4*l + q, -3*u + l + 0*l + 241 = 0. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 + -0.53. Which is the closest to w? (a) 2\/7 (b) 4\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*o - 11. Suppose 5*j = -p + j - 4, 0 = -2*p - 6*j - 6. Put o, 7, 5, p in decreasing order.\nAnswer: 7, 5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q - 3. Let f be z(-11). Let l = f + -42. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**5*m**3 + 22059*d**4*m - 7*d**2*m**3 - 2*d**2 - 51498*d*m wrt d?\nAnswer: 660*d**2*m**3 + 529416*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04862 - 21.04862. Sort 0.16, x, -4.\nAnswer: x, -4, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5329\/4 - 37537\/28. Calculate the common denominator of (1600\/(-112))\/(7 - 9) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 - 13264*f**2\/7 - 15472040*f\/7 + 23039762400\/7.\nAnswer: -2*(f - 828)*(f + 3730)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184357, -368714, -553071, -737428, -921785, -1106142?\nAnswer: -1290499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2964.9995936 - 2965. What is l rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312342131 (base 5) to base 7.\nAnswer: 13664615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.62 + 0.92. What is the smallest value in -16, 4, u?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 174.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -14417.\nAnswer: -2883.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(6480\/125) - 1\/(-3).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955050311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14240 from -19136707910.\nAnswer: -19136722150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760 = 5*l - 2*i, -6*l = -4*l + i - 313. List the prime factors of l.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681972 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 17*h + 21. Let f be g(18). What is the nearest to 5 in -0.2, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z + 31*z - 15*z)*(2*z**2 + 3*z**3 - 2*z**2).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64\/25 + 1817\/75. Let h = 72\/11 - 1153\/77. Calculate the common denominator of h and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306346 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*l = 3, -b - 4*l + 27 = -21. Let j(y) = -10 - b*y - 2*y**2 + 0 - 3. What is the tens digit of j(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13131102212 (base 4) to base 14.\nAnswer: 38c658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78984 and 12?\nAnswer: 78984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n + 2. Let r(z) = 441*z + 99. Calculate -4*r(o) + 198*u(o).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 7, -5, 51, -4, 18 in ascending order.\nAnswer: -46, -5, -4, 7, 18, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(3\/69). Let j = 41 + i. Suppose -r - 12*a + 11*a = -11, -4*r + 17 = a. What is the smallest common multiple of r and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**4\/24 + k**2. Let i be m(11). Which is greater: i or -12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 0 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 425 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1078 - -1273. What is the greatest common factor of 165 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*m - 1939, 3*m = -4*b + 11551 - 3760. What is the greatest common factor of 378 and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76911858 and 102549144.\nAnswer: 307647432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - i + 6*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 64*y**2 + 19*y + 547. Is a(46) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**3\/21 + 6130*c**2\/7 + 18788450*c\/7 - 4209. Suppose f(d) = 0. What is d?\nAnswer: -3065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*k = -154*k + 16. Let g(s) be the first derivative of s**4 - k - 2*s**3 - s - 1\/5*s**5 + 2*s**2. Factor g(a).\nAnswer: -(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 6. Let v = 0 + d. Solve 3*b + 6 = -4*w - 1, -23 = -4*w + v*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189 - -196. Suppose 8*f - 270 = -y*f. What is the greatest common divisor of 234 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20595*q**4 + 19536?\nAnswer: -82380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81612333?\nAnswer: 3, 11, 109, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -132, -239, -414, -651, -944, -1287, -1674?\n\"Answer: p**3 - 40*p**2 + 6*p - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (2 - -1 - 1). Let g = -83 - -98. Calculate the remainder when 110\/f*(-6)\/5 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 3043?\nAnswer: 27387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -68\/3 < -1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - 0.35. Let t = l - -0.44023. Round t to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5047*s**3 - 36*s**2 + 29*s**2 + 7*s**2.\nAnswer: -5047*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1904 divided by 952\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4 - 4 - 2 + 3 - t. Let b(u) = -3*u**2 + 3*u - 7. Let g(d) = b(d) + 3*s(d). Differentiate g(a) with respect to a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43007 divided by -53?\nAnswer: -43007\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n + j - 29, 3*j - 6 = 0. Let t be ((-9)\/n)\/(6\/8). Factor 2\/9*p**2 + 2\/9 + t*p.\nAnswer: 2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 - -212. Sort m, 4, -5 in decreasing order.\nAnswer: 4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. List the prime factors of (9\/u)\/(3\/12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w - 4*s - 464, 0 = -5*s + 25. Suppose -2*t - 37 - 43 = 0. Let p = t - w. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/330 - -223\/990. Let z be 2 - ((-2 - -3) + -1). Suppose -3*n + 23 = -2*x, 5*n + z*x + 0*x - 17 = 0. Which is the closest to g? (a) -0.3 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - z + 37 + z.\nAnswer: -2*z**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*s + 20, 10*z + 3*s + 10 = 9*z. Solve -4*g = 5*i - 31, 3*g + i + z*i = 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45681.25 grams in milligrams?\nAnswer: 45681250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13395 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: What is next in -103, -185, -225, -193, -59, 207, 635, 1255?\nAnswer: 2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 4. Let y be k(5). Let d(m) = -6*m - 3. Let v(u) be the second derivative of u**3\/6 + u**2\/2 - 675*u. What is y*v(o) + 2*d(o)?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 853124 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*a**4*k - 1151*a**3*k**2 - a**2*k**2 - 88*a*k**2 - 37*k**2 wrt a.\nAnswer: 528*a*k - 6906*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.264, 0.08, -5, 1\/8?\nAnswer: -0.264","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1422, 1250, 1080, 912, 746, 582?\n\"Answer: m**2 - 175*m + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/25)*v)\/(((v\/(v*v*(v\/v**(-19)*v)\/v*v))\/v)\/v))**(-20\/11) assuming v is positive.\nAnswer: v**(-2608\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*r - 316 - 260 = -96. What is the closest to 0.1 in r, 2\/5, 20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2 + 22 - (-18 + 17). Let z be y\/14*12\/9. Let k(t) = 4*t**3 - 3*t - 4. Let c(p) = -3*p**3 - p**2 + 2*p + 3. Calculate z*k(x) + 3*c(x).\nAnswer: -x**3 - 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 60 + 1 + -62 + 15\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.042, 1\/6, 2\/17, -1, 3\/469, -3, -0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 451695.6 nanoseconds in seconds?\nAnswer: 0.0004516956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:26 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24024 times 3.91\nAnswer: 93933.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -106067 at most as big as -106066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -25. Let o = j + 15.999954. Round o to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9550461mg to kilograms.\nAnswer: 0.0000009550461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -700*s + 4871. Give l(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -9. Let y be d + ((-19)\/5)\/((-36)\/20). Solve -14\/9*k**5 + y*k**3 + 0 + 4\/9*k - 2*k**2 + 2*k**4 = 0 for k.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60912 and 21.\nAnswer: 426384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:21 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 55*m**2 + 419*m + 92. Let u be p(-46). Put 2, u, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**3 + 1317*r**2 + 155*r - 6217. Calculate s(-188).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2*-5)\/sqrt(4))\/((-2*sqrt(64))\/sqrt(2)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - l = -39, 5*j - 88 = j - 4*l. Suppose 3*d + t - 17 = 0, 4*t = d + 4*d - j. Let w(z) = z**3 - 5*z**2 - z + 4. Determine w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 56370*z + 281851. Calculate h(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 108*k - 728.\nAnswer: -4*(k + 13)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 2*h - 1. Let j be q(1). Let w(b) = 1 + j*b - 2 - 1. Let n(x) be the second derivative of -x**3\/3 + 3*x**2\/2 + 2*x. What is -4*n(p) - 5*w(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -17. Let n be (210\/o)\/(1\/(-150)). Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (184 + -197 - (10 + -6))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 y when four letters picked without replacement from eeeyeeeeyeweeyewe?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1896139517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, -37, -301, -817, -1669?\n\"Answer: -14*m**3 + 2*m + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 428*v**2 + 110*v + 530*v**2 - 957*v**2 to a*v**2 + p + r*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2099463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.416, 2\/5, 4, 5\/491?\nAnswer: 0.416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1004*q + 407*q**2 - 1004*q)*(1 - 3 - 1)*(4*q**3 - 3*q**3 - 3*q**3).\nAnswer: 2442*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {i: 2, r: 5, n: 1, y: 1, g: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 2872621313*c**3 + 0*c**2 + 2872620957*c**3 - 5*c**2.\nAnswer: -356*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -133. Let z = -19487 + 19485. Sort 4, 3, z, i in ascending order.\nAnswer: i, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3\/7 - 11378148*u**2\/7 - 22756324*u\/7 + 34134468\/7 = 0?\nAnswer: -3, 1, 2844539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-2)\/(-9) - -1. Let p = -0.33476 + 0.03476. Let t be 2 + (0\/(-1))\/2. Which is the nearest to t? (a) p (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(2) + sqrt(2)) - (sqrt(22)\/sqrt(99))**2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62087 is divided by 1753?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -217, -243, -317, -463, -705, -1067?\n\"Answer: -4*x**3 + 2*x - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**9*q)*q**(2\/13))**6 assuming q is positive.\nAnswer: q**(-690\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 13100\nAnswer: -13100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(605) - sqrt(605) - sqrt(605)) + 3)**2.\nAnswer: -396*sqrt(5) + 21789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288104542 is divided by 468?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8912642 by 1.\nAnswer: -8912642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:26 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 21*b - 20.\nAnswer: -(b + 1)*(b + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -8*j + 15. Suppose -3*w = -0*w - 9. Calculate the lowest common multiple of w and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 6:21 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*(-21)\/3332*-4. Let l = y - -131\/714. Which is the second biggest value? (a) 0.3 (b) 58 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142995246 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*y - 7*y - 969*y - 975*y - 655*y as o*y + g and give o.\nAnswer: -2466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:48 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 67*g**7\/210 - g**5\/30 - 15*g**4\/4 - g**3\/6 - 156*g**2. What is the second derivative of t(u) wrt u?\nAnswer: 804*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*b*j**2 + b*j - 3135331*b + 1076291*j**2 + 60*j with respect to b.\nAnswer: 29*j**2 + j - 3135331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-2 + (-3)\/(-3)). Suppose -65 + 25 = -b*u - 5*n, 0 = 2*u + n - 14. Suppose -1 = 2*w - u. Calculate the smallest common multiple of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 187 + 37. Let c = w + -18. Let s = 177 - 166. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100\/3 + -33. Is h equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*p - 20, 0 = 5*p - 2*f - 9 + 3. Suppose 5*u + 12 = -u. Let a = p + u. Solve a*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 44385 - 177551 + 44372 + 44381 + 44366.\nAnswer: g - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5665 + 5662. What is the second biggest value in 0.2, a, 0, -5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {t: 4, j: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1345 = -4*v + 2*d + 587, -986 = -2*v - 4*d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = 2*j - 3*w, -5*j + 50 = -4*w. Suppose 10 = -2*r + 7*r. Let s be r + (0 + 0)*1. Calculate the greatest common divisor of j and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5725682 is divided by 57?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/(-322) + 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 331 in 3, 1, -2, 0.0322?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -259211 and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {t: 8, a: 2, v: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 71*p - 2125\/2.\nAnswer: -(p + 17)*(p + 125)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -4, 1, -6 in descending order.\nAnswer: 10, 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.647 + 2.647. What is the nearest to -0.1 in -0.1, 1\/3, a, 124?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -86*x - 1. What is the hundreds digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*h**3 + 7*h - 7*h + 43*h**3)*(-4 - 2*h + 4).\nAnswer: -164*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-9\/11)*p**(4\/5)*p\/p**4*(p*(p**1*p)\/p)**(6\/11)\/((p\/p**(-2\/7)*p)\/(p*p**(-2\/9)\/p*p*p)) assuming p is positive.\nAnswer: p**(-5603\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -233?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1 - (-8 + 3). Suppose -270 = -r*s - m, 3*m = 3*s - 154 + 10. Let o = s - 42. What is the remainder when 54 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/8 + 17\/24. Let y(v) be the third derivative of 0*v**4 + 0*v + 0 - 1\/30*v**5 - v**2 - r*v**3. What is the first derivative of y(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 13 - (-21 - 0)) + 17 + -10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2. Let m be y(-7). Suppose m = -8*k + 3*k - 25, 3*k = 2*j - 19. Let f(g) = 3*g**2 - 11*g**j + 9*g**2. Let n(s) = 47*s. Determine n(f(h)).\nAnswer: 47*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4*y - 3. Let b be j(-15). List the prime factors of (b\/21)\/(3\/21).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10874 and 96055479?\nAnswer: 5437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(198)\/(sqrt(44)\/(4*sqrt(4))))\/(sqrt(96)*4*5).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 8*r**2 - 6*r - 5. Let z be g(6). Suppose -f + 5*n + z = 2*f, 0 = -n + 4. What is the units digit of (f\/(-2))\/((-1)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3846 and 39.\nAnswer: 49998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 + -4 + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/4 - (-1)\/4. Suppose 0 = 3*z - 8*z - 25. What is the closest to 1\/2 in x, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r - 47. Let w be b(-7). Suppose -25*l = -w*l - 21856. What are the prime factors of l?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(((sqrt(833) - sqrt(833)*3 - sqrt(833))**2 - sqrt(833)) + sqrt(833)) - (sqrt(833) - (2 + sqrt(833)))*-4).\nAnswer: -30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 86180.\nAnswer: 172360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 14*b**2 + 4*b + 30. Calculate p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(0 + sqrt(200) - sqrt(200)) + 0 + (3*sqrt(72) + 5 - (sqrt(72) + -1*(sqrt(72) + (-1*sqrt(72) + sqrt(72) - sqrt(72))) - sqrt(72))))**2.\nAnswer: 180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*u + 2739 = -1671 - 4494 + 1895 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 66. Suppose m - 92 = -2*w. Suppose -w = 3*g + 2*g. Let n(l) = l - 1. Give n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16066 + 9934. Round v to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-112)\/(2 + 6) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9342 + -9342.0143136. Let p = 0.0141 + r. Round p to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -717, -654, -591?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert b02294 (base 12) to base 14.\nAnswer: 514ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1725 = u + m, 5*u - m - 8598 = 0. What are the prime factors of u?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/6 (c) -9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6407, -6776, -7387, -8240, -9335, -10672, -12251?\n\"Answer: -121*j**2 - 6*j - 6280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3 + 11*h**2 - 1 + 5 + 2 to the form s*h + x + r*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = 1325. Let l be 5\/35 + n\/7. Let z = l + -15. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106165682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-48))\/((-4)\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*s - 23*s + 75 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -0.1, 3\/2, 0.5 in ascending order.\nAnswer: -0.1, 0.5, 1.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 2. Suppose -8 = -2*v - 2*v. Let z(w) = 2*w**2 - 3*w + 1. Let r be z(v). Let x be f(r). Solve -x*p = -p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2. Let d(p) = p**3 + 13*p**2 + 11*p - 10. Let b = -27 + 15. Let m be d(b). Let l(k) = 4 - 2 - m*k - 2. Calculate a(l(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/180 + i**5\/40 - i**4\/24 - 19*i**3\/6 - 4*i**2. Let s(c) be the first derivative of v(c). Determine s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 6:50 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 1300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89603669 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 10\/(3 + -1). Suppose 0*u = -2*i - x*u + 12, -3*i + 6 = -3*u. Solve 0 = i*l + 5*a + 29, 2*a - 1 = -5*l - 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 6*j - 4. Let b be k(-5). Let a = b + 124. Calculate the greatest common factor of 28 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**6\/2 + 7*w**3\/2 + 8*w. What is the second derivative of n(d) wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 8:07 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {a: 2, d: 2, w: 1, x: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -i + n - n + 44, -1015*i + 5*n + 53 = -1013*i for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -40*r - 367. Let s(c) = 8*c + 12. Give 4*s(d) + v(d).\nAnswer: -8*d - 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdbddbwdbbb. What is prob of sequence dbwb?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 2*u + 12 + 3*u**3 + u - 10. Let a(h) = -3*h**3 - 3*h - 3. Give -2*a(c) - 3*y(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 691866 and 501141606.\nAnswer: 1503424818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-25))**(2\/29)\/((l*l**16\/l*l)\/(l*l\/l**(5\/7))) assuming l is positive.\nAnswer: l**(-3540\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13766451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c + 15. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/9 - (-176)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0374 + 2008850161?\nAnswer: 2008850161.0374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131111644085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = -25. Suppose 12 + 20 = i*k. Let d(t) = -t**2 + 4*t + 1. Let g be d(3). Solve -2*v = k*l - l + 2, g*v - l - 24 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 18 = x. Calculate the remainder when x is divided by ((-20)\/(-25))\/(4\/90).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.2 + 21. Let q = -0.8 + l. Let a = -4.336 - -2.336. What is the second smallest value in q, 0, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**3 + 3*a**2 + a - 1. Let l(x) = x**2 - 6*x + 4. Let d be l(6). Let f be r(d). Let v = f - -826. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from ejepjpeeevevjejeepe?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-154583)\/9867 + 5740\/366\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*4 + -5 + -2*sqrt(7)*2.\nAnswer: -5 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -3)*(-2)\/2. Let t be ((-2)\/m)\/((-4)\/20). Calculate the greatest common factor of 6 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - v**2 + 11*v**3 + 12 - 10*v**3 + 2*v + 3*v to the form l*v**3 + q*v + w + c*v**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.90234 milliseconds to hours.\nAnswer: 0.00000025065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23199 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288696 is divided by 429564.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 9 - 14 + 36758*b.\nAnswer: 36758*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Suppose -m*k + 188 = 4*v, 0*k + 3*k - 174 = 3*v. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:14 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -2\/7 (c) -2\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002232301 (base 4) to base 10.\nAnswer: 1584049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)\/(s\/(s*s**8*s)*s*s*s)*(s\/s**(-1\/10))**(-4\/5))**(-15\/11) assuming s is positive.\nAnswer: s**(516\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:42 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227585452 to the power of 1\/2, to the nearest integer?\nAnswer: 47197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145531\/18 + 8091. What is the common denominator of -58\/51 and f?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1491 - 1471. Calculate the remainder when 854 + (0 + 0 - -5) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*a - 1, -3*a - 464*b + 461*b = 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/98*(-532)\/18 and -9\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d**2 - d + 1. Let t be j(-3). Suppose 8*k = 4*k - t. Let f(b) = 1. Let u(l) = -5*l + 6. Determine k*u(r) + 6*f(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -17*t**4 - 54*t**3 + 278*t**2 - 179*t - 5. Let j(w) = 18*w**4 + 57*w**3 - 276*w**2 + 177*w + 6. Let y(k) = -5*j(k) - 6*o(k). Factor y(c).\nAnswer: 3*c*(c - 3)*(c + 7)*(4*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -870, 0.182, -8 in increasing order.\nAnswer: -870, -8, 0.182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1212)\/(-7878))\/(5\/1).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(19) + -4 + sqrt(19) + 5.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 482 - 333. Suppose j*z - 142*z + 34370 = 0. Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 - 6*d**4 - 12*d**3 - 10*d**2 - 3*d.\nAnswer: -d*(d + 1)**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Let w(y) = 0*y - 6 + 4*y - 2*y - 5*y. Let g(r) be the third derivative of -r**4\/24 - r**3\/6 + 238*r**2. Give j*w(q) - 5*g(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 665 - 9853*q**2 + 4786*q**2 + 4865*q**2 wrt q.\nAnswer: -404*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:51 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -13795\/11186?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(-14)\/(-84) - (0 - 4). Let s(l) = l. Give s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141230 is divided by 263.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 270 - 45 = 0. What is the greatest common divisor of z and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, 1, -1, -5\/6, -0.263?\nAnswer: -0.263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 137621 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1 + 65*z**3 - 13 - z.\nAnswer: 65*z**3 - z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 83*q**2 + 737*q + 40. Determine x(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 74\/(-18))*78\/(-650). Let c = 342\/7 - 49. Let z be ((-1)\/(-6))\/(3\/12). What is the second smallest value in z, s, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*d**2 + 9*d**2 + 70 - 101 as t + s*d + l*d**2 and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*u**5 - 2*u**5 - 65*u**5 - 35*u**5)*(3 - 1 - 5).\nAnswer: 237*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 517, 1166, 2073, 3238?\nAnswer: 4661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 + 4 = 9*o. Calculate the highest common divisor of 56 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b**(-2)*b)\/b))\/b)**(-1\/4))**(-24))**26 assuming b is positive.\nAnswer: b**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -25787*v**3 - 5*v**2 - 7*v - 2. What is the thousands digit of b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 - s - 2. Suppose 4*d = -d. Let r be u(d). Let a(n) = -n**2 - 5*n - 3. Calculate the remainder when a(r) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -16*q**8\/7 + q**4\/6 - 3*q**3\/2 + 163*q. What is the third derivative of a(p) wrt p?\nAnswer: -15360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let r be ((-28)\/6)\/(3\/(18\/(-4))). Suppose 3*c - 23 = 5*g, 4 + r = 3*c - 2*g. Solve 2*u + m = c, -2*u - m = -i*m - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9686196*l**3 - 26*l**2 + 182485200*l + 1.\nAnswer: -58117176*l - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -130342.2953772595 + 1?\nAnswer: -130341.2953772595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 0 - 1\/6*r + 1\/6*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 * -1.261809.\nAnswer: 58.043214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910 by 6.\nAnswer: -455\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*(-6)\/(-9). Suppose r - 35 + 39 = 0. What is the third biggest value in 1\/9, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*z = -8*z - 4, -z = 3*c + 2. Suppose -d - 9 = -5*q, c = -3*d - 12. Is -1\/4 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(((-3)\/(-2)*(-320)\/(-1440))\/1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.071 - -2054786?\nAnswer: 2054787.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/24 + 4*w**3\/3 + 13*w**2. Calculate the smallest common multiple of t(-6) and 1\/(-4) + 6\/16*54.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from {x: 2, y: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2159*m**2 - 3891*m**2 + 252*m**2 - 517*m wrt m.\nAnswer: -2960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/13 - 366*o**2 - 515056*o\/13 - 6662040\/13 = 0 for o.\nAnswer: -2266, -98, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*s**2*x**3 - 54*s**2*x - 954*s*x**3 wrt s?\nAnswer: -14*x**3 - 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/6 in 1, -0.2, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01359 - -0.012624. Round z to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-142)\/(-568) - (-62)\/8. Solve -3*v = -5*l - v + b, -v + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*d - 31369 = 18921. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {a: 4, k: 4, n: 4, s: 4, l: 1, h: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 0 + 5 - -2*-1*sqrt(343))**2 + -2.\nAnswer: -70*sqrt(7) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 170 - 10817.137.\nAnswer: -10647.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 19*b = 4. Let a be (2*(-27)\/16 - 1) + b. Put -3, a, -4 in descending order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 12*a + 12. Let q be v(13). Is -3*q\/3*161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*a**2*u*w + 2*a**2*w*x - 73*a*w*x + 3*u**2*w*x - 2*u**2*w - w wrt x.\nAnswer: 2*a**2*w - 73*a*w + 3*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183557508877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 16. Let g = 9 - r. Let v be 4\/(-6)*(-5 + 2). What is the highest common factor of v and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/6 + 9*j**2 - 178. Factor v(c).\nAnswer: -c*(c - 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 10*p = 0. Let b = -32 - -74. Suppose -50 = -2*w - b. Solve p = w*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 18*a**2 + 20*a - 16. Let c be m(19). Let t = -5.07 - -0.07. Let i = 5.4 + t. Sort -2\/3, c, i in ascending order.\nAnswer: -2\/3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1083)\/(-342)*(-7)\/(-1197)*-9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -373471, -373472, -373473, -373474?\n\"Answer: -b - 373470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55, -92, -129, -166, -203?\n\"Answer: -37*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Suppose -5*c + 6*c - 44 = r. Suppose -c + 0 = -4*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 4, k: 1, v: 2}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 12) to base 11.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-7 - (-41 - -21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-5))\/((-764)\/(-8595)). Solve -23*r + 18*r + m*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddxu when four letters picked without replacement from yuxdduddduddyuyxydd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = 2. Suppose 0*d = 5*y + 4*d + 10, -33 = -4*y + 5*d. Determine j, given that 3*j**5 + y*j**a - 3*j**5 - 2*j**5 + 2*j**4 + 2*j**3 - 4*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 3*y. Let u be a(-2). Let m = 8 - -12. Calculate the lowest common multiple of (12\/(-9))\/(u\/(-27)) and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 greater than 52663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*a**2*d - a**2 - 80*a*d wrt a.\nAnswer: 84*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 - 10)*(-2*j**4 - 9*j**4 + j**4).\nAnswer: 170*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 334709*t**2 - 14*t - 8856468.\nAnswer: 669418*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Let u = -1.1 - -0.7. What is the third biggest value in b, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 523.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 5 = -17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, y: 1, z: 3}. What is prob of picking 1 y, 2 x, and 1 z?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(3*sqrt(12) - sqrt(3)))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2896199.\nAnswer: 41, 70639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -224\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 692556 - 0.23\nAnswer: 692555.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 2*a**2 - 5*a + 4. Let l be g(3). Let h be (-3 - -2 - l) + 21. Let x be 2\/(-7) - h\/(-28). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (152\/171)\/8 + 880324\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, -1, 57, 3, 1348 in descending order.\nAnswer: 1348, 57, 4, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 1088256*b - 1088256*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvhxxvnhxh. Give prob of picking 1 v, 1 h, and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 101 (b) 6 (c) 2\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1161\/774)\/((-36)\/(-80)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 193630?\nAnswer: 968150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.413556nm to micrometers.\nAnswer: 0.002413556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4 + 4*p + 5 - 46. Let q be u(-9). Let v = 84 + q. Solve -16 = -v*l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -512, -5, 0 in decreasing order.\nAnswer: 0, -5, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -4 + (6 - 1). Let v = -93.2 - -92. Let o = v - -1.19. Which is the nearest to n? (a) o (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-338)\/169)\/((-4)\/2*6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 10939 = 194*d - 2403, 0*c = -c - 2*d - 88 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -132*f. Let u(o) = -o**3 + 41*o**2 + 48*o - 251. Let d be u(42). Let b(p) = p. Calculate d*w(q) + 99*b(q).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 2, i: 4}. What is prob of picking 1 i and 1 e?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11786\/(-781)*33\/(-6). What is the greatest common factor of a and 16600?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 2*z**2\/3.\nAnswer: -2*z**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/2 - 481*c**3\/2 - 17268*c**2 + 71942*c - 72896 = 0.\nAnswer: -67, 2, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105 + (1 - (-3 - -5) - ((-2 - 21) + 13))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 20, -4, 16 in decreasing order.\nAnswer: 20, 16, 9, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 21*l**2 - 3*l - 21.\nAnswer: 3*(l - 1)*(l + 1)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkkrfkkfffk. What is prob of picking 1 k, 1 f, and 1 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/1221 + -3832\/15873. Which is the closest to 0.1? (a) -2\/7 (b) w (c) -33\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1472b?\nAnswer: -14732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 846*b**3 + 11*b**2 + 18447*b wrt b?\nAnswer: 5076*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 83, 181, 307, 455?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/60*6)\/((60\/10)\/(40\/(-82)))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/756 and -121\/9828?\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 1, d: 2}. What is prob of sequence da?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -665*d + 43818 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 104*i - 309. Is z(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124589 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-1)\/2*4\/2. Suppose 0 = j*t - 828 + 32. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 619.7 - 619.59452. Let v = b + -0.1317. What is v rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 + -265. Solve 0 = -3*c + 17*v - 20*v, 4*c + w*v = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from okxqxnqxxkxxexexxnnx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11650 is divided by 896.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1539) + 2*(sqrt(1539)*-2 + sqrt(1539))**2).\nAnswer: -15390 - 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5 - 3*x - x**3 - 3*x**2 + 0*x**3 + 2*x**3. Let a be c(4). Let t be 17\/(-30) - 2\/(-5). Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121599490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 95, 99, 103?\n\"Answer: 4*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 + 10*o**2 + 18*o + 1. Let s(t) = 12*t**3 + 23*t**2 + 37*t + 1. Let i(d) = -7*b(d) + 3*s(d). Calculate i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103.3, -108.62, 0.3, -1 in decreasing order.\nAnswer: 0.3, -1, -103.3, -108.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 3*q**2 + q**2 - 3*q**2 in the form a*q**2 + g + r*q and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 716106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*l + 152*l - 1400 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1900 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j - 2*j + 3*j + (-3 - 2 + 2)*(-5*j - j + 5*j) + 2*j + 1 + 0 - j.\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 4*q**2 + q - 2. Let l be c(4). Let v be l*(-1)\/(-2)*9. Suppose -3*x + 4*t = -v, -x - 10 = -3*x + 4*t. Is x bigger than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiijiiiiiiiiiiii. What is prob of picking 1 j and 3 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 5*f = -20. Suppose 2*c - p - 14 = p, -3*c = 5*p - 13. Suppose 6*i - c = f*i. Solve -i*g = g + 5*r + 5, -3*g = r - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b2 - -70c7?\nAnswer: 6f15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001080342 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*q**2 + 0 + (-1 + 1 - q)*(0*q + 0*q + q) + (-1 + 2*q + 4 - 2)*(-q - 2*q + 2*q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 15580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.05. Let a = -918 - -639. Let x = a + 276. Is q > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g + 60*g + 2*g - 5*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5 + 56*q**4 + 690*q**3 + 3220*q**2 + 6029*q + 3444 = 0.\nAnswer: -41, -7, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -433144536 - 2?\nAnswer: -433144541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -156, 145, 4 in decreasing order.\nAnswer: 145, 4, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0*x\/x**0)**(9\/7)\/(x\/(x*x*(x*x**6\/x)\/x*x*x)*x\/x**(2\/7))**(2\/9) assuming x is positive.\nAnswer: x**(88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 4*g**2 + 0*g**3 + 0 - 1\/24*g**4 + 0*g. Let v(j) = -2*j**2. Give w(v(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 0.3 (c) 15.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 7:46 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 5 = -g - 49*a + 39*a, 0 = 51*a + 102 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/12*-8*(-295555)\/78 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, u: 1}. Give prob of picking 1 u and 2 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109716240 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116\/3 - 38. Suppose 8*u - 4 = 7*u. Factor 2\/3*b**2 + n*b**3 - 2\/3*b**u - 2\/3*b + 0.\nAnswer: -2*b*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b. Suppose 5 + 1 = 3*i. Let l(w) = w**3 - 3*w + 3. Let g be l(i). Let n(k) = -g - 2*k + 5. Determine n(v(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtivxtei. Give prob of sequence txt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -19\nAnswer: -22\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 225\/120*(-8)\/540*5*3\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/156*36 - (-2 + 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - n**4 - 2*n**4 - 399 + 4*n**4 + n**2 + 254 + 0*n**4 to the form b*n**2 + a*n + t + z*n**4 + f*n**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a + -3?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1582 = -926*k + 211 + 59 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*o - 2*o = 21, -5*z + 53 = -4*o. What is the greatest common divisor of z and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32535 = -57*g + 432675. What is the greatest common factor of g and 1365?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:14 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:33 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.5. Let r = 0.02 - -1.98. What is the nearest to l in 2\/5, r, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*t**3 + 175 + 3*t**3 - 176 + (-t**2 + 2 - 2)*(-2*t + 0*t + 0*t) + (29*t - 18*t + 116*t)*(4*t + t - 4*t)*(0*t + 6*t - 4*t).\nAnswer: 246*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 + 7*k + 1. Let l(s) = s**2 + s. Let a be ((-3)\/(-5))\/(1\/10). Let z(w) = a*l(w) - q(w). Let r be 15\/7 - 5\/(-70)*-2. What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 8. Suppose 0 = 2*u - i - 47, -2*u - 5*i = -u - j. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 2, t: 1, q: 2}. What is prob of picking 1 q and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 + 16*o**2 + 2*o + 11. Let b(x) = -8*x**3 + 33*x**2 + 5*x + 25. Determine -4*b(p) + 9*h(p).\nAnswer: -4*p**3 + 12*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*k + 2368*f - 2369*f, k = -4*f - 6 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 5:41 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -249*j**3 + j**2 - j. Let v(r) = 3*r**2. Let h(a) = f(a) - 4*v(a). What is the third derivative of h(z) wrt z?\nAnswer: -1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-h + 3 - 3) + 3*h + 0*h - 2*h + 0*h + 0*h - h + 0*h - h + 2*h + 0*h - h - h + (0 + 0 + 2*h)*(0 + 5 - 3) + 2 - 2 - 2*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262221.3 litres to millilitres.\nAnswer: 262221300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 757355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 + 2. Let v(o) = 49*o**2 - 17. Calculate -51*j(n) - 6*v(n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose -4*y + 4*l = l - 8, -3*y + n*l = 1. Suppose 5*t = 4*t - 5, -2*t = y*r - 55. Calculate the greatest common factor of r and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*q**2*w**2 - 3*q**2 - 8*q*w**2 + 3*q + 1565 wrt w.\nAnswer: -72*q**2*w - 16*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1685.4 + -1685.4. Let i = -3 + 2.8. Let c = -2.3 + i. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7 - 3*d**3 - 2 - d**2 + 0 + 3*d. Let f = -9 + 13. Let u(m) = 4*m**3 + m**2 - 4*m - 6. Let s(o) = f*u(o) + 5*i(o). Let s(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 29*w**3 - 1453*w**2 + 181519*w + 183014. Let s(m) = 9*m**3 - 485*m**2 + 60507*m + 61005. Let r(a) = 13*s(a) - 4*y(a). What is q in r(q) = 0?\nAnswer: -1, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000331 (base 5) to base 2.\nAnswer: 11110101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8 and 59\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30683913*t**4 - 2*t + 700132813?\nAnswer: -368206956*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*z - 80, -2*m - 36*z + 34*z = 32. Suppose -76 = 7*y - 3*y. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -40*k**2 + 2123*k - 195. What is d(53)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1468492480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 + ((-41)\/9 - -5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 11. Determine b(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90859, -181715, -272571, -363427, -454283?\nAnswer: -545139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/8, 9 in decreasing order.\nAnswer: 9, 4, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5 - 2*j**2 + 10*j**2 - 2*j - j**2 - j**3 - 3*j**2. Let g(l) = -l**2 + l + 1. Calculate 5*g(a) + r(a).\nAnswer: -a**3 - a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let j(p) = -2 + 6*p + 7 - p**3 + 7*p**2 - 5*p - 1. Calculate the lowest common multiple of i and j(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16080713749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - h - 7. Let n(g) = 3*g**2 - g - 6. Give -6*n(f) + 5*u(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(42)*2)\/sqrt(6) - sqrt(196)\/sqrt(7).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose -b + 5*m + 8 + 12 = 0, -35 = -4*b + 5*m. Suppose -b*q + 12 + 13 = 0. Solve 2*j - 6*j = i, -2*j - 15 = -q*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99854 divided by 49927?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 52, 3\/2, -1, 2\/11, 19.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54760?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11101101 (base 2) to base 8\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*u**4 - 167*u**3 + 206*u**2 - 79*u - 2 = 0. Calculate u.\nAnswer: -1\/42, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*i = 2, 0*i = -4*s - 2*i + 12. Suppose y - 3*m + 49 = 13, s*y - 4*m + 136 = 0. Let d = y + 29. Let k(o) = -o**3 + 5*o**2 - 6*o + 7. Give k(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11033400 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1732040 by 8.\nAnswer: -216505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845787 divided by 845787.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -357034 - -357112.8487. Let w = c - 78.8. What is w rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 69.1 and -469508967.\nAnswer: -469508897.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 3*u. Let p be 4\/(-4 + u) - -10. Let g be (-6 - -10)*5\/4. Solve c = g*c - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3342846587.\nAnswer: 73, 45792419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27398 - 27393 + 443*a**3 - 442*a**3 - 27526 + 82317.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 38 = -b, b + 68 = -5*x + 4*b. Let v = 24 + x. What is the remainder when 68\/2 + (-6)\/3 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 4.8. Let r = 8 - j. Which is the nearest to -1\/3? (a) 5 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 1.76 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**6\/30 - 33*w**5\/20 + w**4\/3 - 3*w**2 + w + 2. Find the third derivative of f(a) wrt a.\nAnswer: -24*a - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2160))\/(-6*(sqrt(12) - (sqrt(300) + sqrt(12)))).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -176084385333081 take away 0.05?\nAnswer: -176084385333081.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 131346.8 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 1\/983, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 54 - 37)*(-2 + 2*z + 2) - 3 + 5 + 0 + 10*z + (-2*z + 0*z - z)*(4 - 1 - 1).\nAnswer: 60*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 397869, 795704, 1193539, 1591374, 1989209, 2387044?\n\"Answer: 397835*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 91. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15589 rounded to three dps?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-116)\/(-14) - 4\/14. Suppose 2*b - a = -2*b. Suppose 3*x - 79 = -x - 3*g, -b*x + g + 37 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*b + 17. Let t = b - -28. Solve -4*v + 2*d = -t*v - 24, 3*v - 4*d + 7 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 + -188. Let l = -379171833 - -379171758.9999918. Let y = k - l. What is y rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*v + 3558*v + 1632*v - 287742 = 1162*v for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-14)*2*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.19*-0.5.\nAnswer: -1.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 35. Let i be -2*(-27)\/c - 3. Let y = 26\/21 - -3\/7. Put y, i, 0.1 in ascending order.\nAnswer: i, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284439 litres in millilitres?\nAnswer: 284.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 663*w + w**2 + 3 - 3.\nAnswer: -w**2 + 663*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -10) + (-260)\/40. What is the closest to -2\/7 in -3\/2, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -b - 2, 6*b + 16 = 2*a + 4*b. Suppose 2*p + 12 = a*p - 4*c, p - 21 = -5*c. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*5\/((-45)\/(-12))*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 6 - (11 + -4)) + -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*b + 3*r + 1389 = 95*b, 0 = b - 4*r - 288. Calculate the highest common factor of b and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.1, 2, -1032?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*o - 50, -3*q = 3*o + 45 - 9. Let d = 164.2 + -164. What is the nearest to d in -2, -3, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/9 - (22\/(-3) + 7). Which is bigger: u or -15\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(-5)*-2 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 180*q**3 + 764*q**2 + 972*q + 392.\nAnswer: -4*(q - 49)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 136894503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 6 - 0. Suppose -3*l = -k*t + 15, 6*l + t + 15 = 3*l. Let p be (l\/2 - -3)*-1. Sort 0.2, -1, p in decreasing order.\nAnswer: 0.2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + y = 144*y - 3770 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, -113, -169, -225?\n\"Answer: -56*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/29))**48 assuming w is positive.\nAnswer: w**(-96\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -51. Let k(a) = 98*a - 203. Let f be k(3). Let w = c + f. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.01, -0.03, -0.2 in descending order.\nAnswer: 0.5, 0.01, -0.03, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1127064340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19253 divided by 150.\nAnswer: -19253\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*u - 4*l + 61 = 0, -5*u + 101*l - 16*l - 518 = 222 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/89829063?\nAnswer: -4\/89829063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (15 - 24) - 17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:18 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429\/184 + 22\/23. Let h be (-20)\/(-35) - 11\/7. Is h at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305181 and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-14) - (-21)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64)\/6 + 4\/6. Let s = a - -15. Suppose -4*o - 10 = -s*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 30109.21 microseconds?\nAnswer: 30109210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.05000356 + -3.05. What is v rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1306339*0.4\nAnswer: 522535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8*z - 42 = 0. Calculate the smallest common multiple of 16 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + ((-9 - -8) + 2)*4. Sort v, 0, -6 in decreasing order.\nAnswer: 0, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 e when three letters picked without replacement from aeeaaooaaaaooeoeo?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 2 (c) 1\/7 (d) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Suppose 31 = -4*a + 91. Suppose -a = 3*j + 3*z, -4*j = 3*z + 1 + 23. Let d be 3 + 0 - (21 + j). Let t(y) = -5*y - 4. What is d*x(p) - 2*t(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85703, 342852, 771449, 1371506, 2143035, 3086048?\nAnswer: 4200557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.04386 to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - (-4 - (-169)\/(-39)))\/(10\/3). Which is the biggest value? (a) 0.3 (b) u (c) 1\/4 (d) 1.1 (e) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9020 + -9526. What is the second smallest value in -1, x, 0.2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8603?\nAnswer: 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-20) + 382\/(-620). Let u = 191\/310 + t. Sort u, 2, -5 in decreasing order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*f**2 + 0 - 2\/11*f.\nAnswer: -2*f*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.082 - 5.482. Let o = j + 6.4. What is the third biggest value in -0.5, o, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56520911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 131498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 1350089?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 49 + -9 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157502963501 take away -17.4?\nAnswer: 157502963518.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.8 - -17. Let v = 4.8 + q. Let o = -131\/2 - -64. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 8 - 3. Calculate the highest common divisor of c and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-9))\/(1\/9). Suppose 2*a = -2*m + 30, -m - 3*m - 80 = -c*a. Calculate the lowest common multiple of a and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35761 and 6.\nAnswer: 214566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 6*t**2 - 6*t + 6. Let i(s) = -4*s**3 - 13*s**2 - 13*s + 13. Let r(j) = -9*j - 3. Let l be r(-1). What is l*i(u) - 13*k(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:00 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3924 and 981?\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 1. Let x(q) = -26*q + 20. Let p(c) = 2*u(c) - x(c). Let a(n) = 7*n - 7. Determine -14*a(b) + 5*p(b).\nAnswer: 2*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = w - 2, -6 = -x - 3*w - 2. Suppose m + 4*m + 3*s + x = 0, -6 = 4*m + 5*s. Let n be m\/4 - 3\/(-4). Solve 4 - n = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 19*c**2 + 438*c + 1723. What is d(-17)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = -4*z + 17, 2*z - i - 7 = 0. Solve z = -4*j + 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l**3 + 6*l**4 - 10*l**4 + 15*l**3)*(2*l - 5*l + 0*l).\nAnswer: 12*l**5 + 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 18900?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y - 412 + 412 = -7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + 2)*-3)**2 - sqrt(13) - (sqrt(13) + 0 + 3 + sqrt(13))) + 1*(3 + 0 + sqrt(13) + -1).\nAnswer: 34*sqrt(13) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*j**3*m**3 - j**3*m + 1002*j**3 + 19*j**2*m**3 - 3*m**3 wrt m.\nAnswer: 300*j**3*m + 114*j**2*m - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11190 divided by -6?\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 11*i**2 + 26 - 16*i**2 to the form a + p*i**2 + f*i and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 1, 25 = 4*s + 5*q. Let i = s + -4. Let c(g) = 7*g**2 - g. What are the prime factors of c(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 2, w: 1, f: 1, d: 8, s: 3}. What is prob of picking 1 d and 1 m?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-21))\/((-437)\/133 + 3). Solve 0 = -4*b - y*v + 12, -b - v - 14 = -17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 4. Let y be (-4)\/(-3)*6\/m. Suppose -y*j - 10 = 2*t, 3*j + t = -11 - 0. What is the nearest to -1\/3 in 5, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y + 11. Let q be ((0 + 1)*24\/(-20))\/((-6)\/(-40)). Let h(m) = -6*m + 7. Determine q*h(z) + 5*i(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 + 3*k - 3*k - 24*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 2. Suppose -10*a = -6*a + 8. Let p be d(a). Is -2 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/516 - (-17)\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 24932*u + 49848.\nAnswer: 4*(u + 2)*(u + 6231)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 39*k + 297. Let b be j(29). Let z(i) be the first derivative of -5\/6*i**2 - 2\/3*i + b + 11\/9*i**3 - 1\/3*i**4. Suppose z(q) = 0. What is q?\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5275966921 to the nearest integer?\nAnswer: 72636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828510*j**2 - 507*j + 1828500*j**2 - 3657032*j**2 + 507*j.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0.2. Let y = k - 0.1. Let d = y - 0.8. Which is the nearest to 1? (a) -1 (b) d (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*m**2\/7 + 33*m\/7 + 26\/7.\nAnswer: (m + 2)*(10*m + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(228) + (sqrt(228) - sqrt(228)*2) + sqrt(228) - sqrt(228)))\/((-3*(sqrt(36) - sqrt(576)))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 467 - 1387. Is 7 a factor of d\/(-22) - (2 - 24\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0, -6, 2\/23, 1027, 0.3 in descending order.\nAnswer: 1027, 33, 0.3, 2\/23, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Let z = 4 - 0. Let d = 0.05 + -1.05. Put x, d, z in descending order.\nAnswer: z, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1935 - 19333\/10. Let q = 715933557 - 283509496715\/396. Let b = 5304\/11 - q. What is the common denominator of b and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/4 + (6\/(-8) - -1). Let d be ((-9)\/(-3))\/((735\/m)\/(-5)). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, 93, 139, 185, 231, 277?\n\"Answer: 46*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 + 205. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 0) + -4 - (-5 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 10, -3*h - 262 = -c + h. Which is bigger: 243 or c?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/70 + (-4)\/10. Let c = r + -59\/63. Let o = 2665\/3 - 872. What is the common denominator of c and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 36\/(-8))\/(1\/6). Suppose -3*r + 2*i + 69 = 0, r + q*i - 2 = 21. Calculate the remainder when 114 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -35*t**2 - 8*t + 4. Let f(p) = 33*p**2 + 8*p - 6. Calculate -2*f(o) - 3*n(o).\nAnswer: 39*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25329001 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.217425.\nAnswer: -0.08697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -6*s**3\/11 + 34464*s**2\/11 - 821640*s\/11 - 1060800 = 0.\nAnswer: -10, 34, 5720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 41186*u**2 - 82121*u**2 + 41042*u**2 + 9 as w*u + m*u**2 + f and give m.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (-6)\/4)*0. Suppose j - 4 = -5*h + 3*u, 0 = -2*h - u + 6. Is h\/9 + 54344\/72 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57955.03 millilitres?\nAnswer: 57.95503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 461 - 26*q**2 + 96*q**2 - 461 - q in the form f*q**2 + j*q + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1 + 3. Suppose 41 = 5*h + 31. Sort d, 4, h in decreasing order.\nAnswer: 4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2930.38 rounded to the nearest 10?\nAnswer: -2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 + l - 1. Let g be t(-3). Let s = 167 + -269. Let m = -96 - s. Is m not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 19. Let y(z) = -6*z - 39. Let q(i) = -13*i - 78. Let c(n) = 2*q(n) - 5*y(n). Let l(v) = 13*b(v) - 6*c(v). What are the prime factors of l(19)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -47*i - 513. Let d = -2131 + 2120. Calculate w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 651*r + 3542. Let h be p(-5). What is the closest to -3\/2 in -2\/11, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/11 + 33444*l**3\/11 + 130984*l**2 + 16194108*l\/11 + 14786730\/11 = 0. Calculate l.\nAnswer: -21, -1, 16765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 u, and 1 h when four letters picked without replacement from uuufuffuuufrurhffu.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196*h + 670*h**2 - 4*h**3 - 634*h**2 - 3 + 0*h**3 - 196*h to the form y*h**3 + i*h + o + t*h**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/510750 and -38\/25.\nAnswer: 510750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21245742?\nAnswer: 2, 3, 7, 168617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(((-15)\/(-5))\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*g = -r - 14, -g + 4*r + 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Suppose -v - 2*v + 17 = g*u, -10 = 2*v. Solve -2*n = 4*s - u, -7*n + 4*n - 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5163\/4 - 1291. What is the closest to 0 in 0.43, 4, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65893.67 and -0.2?\nAnswer: 13178.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69.5 + 81. Let n = 1.7 + o. Let l = n + -19.7. Round l to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k + 7 - 10 - 1)*(-8*k**2 + 24 - 24) + (k**2 - k**2 + 2*k**3)*(3 + 1 - 2) to the form r*k**3 + i*k**2 + a + h*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28\/3 - 358\/39. Let d = -3.89 - 0.11. Let m = -7 - d. What is the nearest to 1 in m, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582825*-139\nAnswer: 81012675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -16*k**2 + 81*k - 523. Let d(j) = 9*j**2 - 40*j + 259. Let h(g) = 11*d(g) + 6*m(g). Find the first derivative of h(x) wrt x.\nAnswer: 6*x + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f - 61*f = 4. List the prime factors of ((-472)\/20)\/(f\/10).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.135, 1\/3, 4, 13 in descending order.\nAnswer: 13, 4, 1\/3, -0.135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/3))**(-1\/3)\/((u\/((u\/u**(-3\/4)*u)\/u))\/(u*u*u\/(u\/u**(5\/8)))) assuming u is positive.\nAnswer: u**(251\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + o**3 + 3*o**2 + 0*o**3 - 3*o**3 - 620*o.\nAnswer: -2*o**3 + 2*o**2 - 620*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + v = 4*r - 75, -3*v = 5*r + 75. Let c(m) = m**3 + 17*m**2 + 30*m + 5. Determine c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:58 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z**2 - 591*z + 1813. What is p(3)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.5735693.\nAnswer: 4.7207079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*t**2 - 255*t + 286.\nAnswer: (t - 22)*(11*t - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179821 is divided by 2900.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2758 + 2821. Calculate the lowest common multiple of y and 198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -31*o + 2. Let v(w) = -2*w**2. What is v(k(u))?\nAnswer: -1922*u**2 + 248*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/19 - -74\/133. What is the second smallest value in 10.3, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*a + 1917 = -3*n, 3*n + 1927 = a. Let s = 1076 + n. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8490511329?\nAnswer: 3, 2830170443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26909086?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14157660 (base 8) to base 5\nAnswer: -1304443432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 + -15. Suppose 6*x - x - w = -3*m, 4*x = 5*m + 133. Suppose 4*s - 2*p - 8 = -4*p, -4*p = -4*s + x. Solve -3*u + s*u - 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from xxxxxxeex.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2 (c) 0.06 (d) 3 (e) 3\/37 (f) 5 (g) -1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 18 = i - 55, 0 = -3*j + 3. Let t = 41 - i. What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(48)\/sqrt(4)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, e: 5, x: 4}. Give prob of sequence wxwx.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 - ((-6 - (-29 + 2)) + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*z - 75. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -2 (c) -253 (d) 1\/2 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**3 + 2*y**2 + 11*y - 7. Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011101100010 - 1000000?\nAnswer: -10101011110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b**3*b))\/b*b*b**(-3\/19)\/b assuming b is positive.\nAnswer: b**(-136\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -631, -2021, -4507, -8401?\n\"Answer: -52*z**3 - 80*z**2 - 2*z + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 13777014?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958571 is divided by 236?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 5 + -4 - (-2 - -3). Let c(l) be the first derivative of 11 - 3\/2*l**b + 0*l. Give c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i**3 - 12*i**2 + 4*i + 19. Suppose -p = 4*c + 14, 4*p + 5*c + 2 - 1 = 0. Is g(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 16487464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -52*m + 35. Let r(v) = 10*v - 7. Determine 2*d(u) + 11*r(u).\nAnswer: 6*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*s + 4211 = -245 + 631. Calculate the remainder when 2019 is divided by s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816) - (0 + sqrt(2816))) + 5)**2 - (4 + -2 + 1*sqrt(704) + sqrt(704)).\nAnswer: -16*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2144334*b + 32077.\nAnswer: 2144334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-304)\/(-285)*3\/2*150\/20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -777901646*y**4 - 857709181*y**2 wrt y.\nAnswer: -18669639504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4617 * -10.27.\nAnswer: 47416.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 + 11*h - 6. Let f = 7 + -13. Let a(g) = -20*g**2 + 45*g - 25. Let n(s) = f*a(s) + 25*c(s). Solve n(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - 4. Let c be (31\/(-93))\/((-2)\/12). Which is greater: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87181 + 87181.00035061. What is v rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -88. Let t(x) = 2*x - 2 + x**3 + 53*x**2 - m*x**2 - 2*x. Calculate t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14 - 8 = -a, -3*c = 4*a - 114. Suppose 0 = 28*j - a - 2910. Calculate the smallest common multiple of 3 and j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1. Let s be 4 + (-5 - (4 - 5) - 1). Let i(z) = -2*z**2 + 3*z + 1. Calculate s*i(g) - f(g).\nAnswer: 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 86*c - 257. What is k(12)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 divided by -3?\nAnswer: -637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 56*a + 55*a - 111*a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -245 - 1a80?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - (164 - 173).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1269\/(-2115))\/((-9)\/(-1525)))\/(-10*6\/(-72))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134 in 5, -4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -121202?\nAnswer: 121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from 48.38.\nAnswer: 30.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a + 2*r - 33, -5*r = -4*a - 23. Which is smaller: a or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 2, s: 9, b: 5}. Give prob of picking 1 s, 1 m, and 1 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -456, 17, 0.61 in decreasing order.\nAnswer: 17, 0.61, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 3\/(-2))\/(9\/(-72))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150049 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-111)\/(-21) + -2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*h + 85 = 394, 0 = -5*p - h + 503. Suppose 0 = 2*w - 0*w - p. Let k be (w\/4)\/(2\/(-12)). Round k to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + ((-2)\/(-3))\/(9\/(-27)). Let k(f) = -f - 10. What is k(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**4*q - 73*f**4 + 3275*q wrt f.\nAnswer: 24*f**3*q - 292*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.7 + -5.7. What is the nearest to 2\/9 in x, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2913*t - 2915*t - 2, -3*x + 4*t - 3*t + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/14 and -119\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.289428 to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 72. Let b(v) = 2*v**2 + 32*v - 204. Let a be b(7). Let k = r + a. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*h**4 + h**4 - 2 + 9*h + 4*h**4 to the form w + c*h**2 + i*h**4 + y*h + v*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 931*u**3 - 21*u**2 - 585. Let l(t) = 186*t**3 - 4*t**2 - 117. Let y(o) = -2*j(o) + 11*l(o). What is the first derivative of y(a) wrt a?\nAnswer: 552*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 + 171 + -97 - (-2 + -136).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(-6 + 639\/108). Which is the fourth biggest value? (a) 0 (b) -4 (c) q (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/24 and 61\/11193.\nAnswer: 89544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspcppbbcpbss. Give prob of sequence ps.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 1)\/(2\/2). Let v(s) = -s - 7. What is the units digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -6. Suppose -3*j - 2*j = -g*j. Suppose 2*o + p + 1 = j, 0*p + 3*p = 5*o - 25. Solve h + o + 0 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a factor of 1167825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 - 494 = -11*t. Calculate the smallest common multiple of 713 and t.\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81876471 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 39 - 213. Solve -s = 4*i + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*y - 2*y. Let l be ((-4)\/(-8))\/(y\/16). Suppose b = 5*r - 141, -91 = -l*r - r - b. Does 29 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (732\/8)\/(2\/(-4)). Let g = -110 - i. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/63 and 113\/7140.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -w, 0*w = w - 2*c. Suppose -w*n - 120 = 32. Let q be (-22)\/16*-2*-8. Is n bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 - y**3 - 2*y**3 - 9*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqdqqddsqqqqydqy. What is prob of sequence sqq?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 2, z: 1, d: 3}. What is prob of sequence ndd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*c**3 - 4\/5*c**5 + 11\/5*c**4 + 1\/5*c**2 + 0 + 1\/5*c = 0 for c.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3183*y. Let r be s(-9). Let f = 14977 - r. Let n = f - -103670. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**4 + 21103 - 2*i**4 - 21103 - 699*i**2 - 17*i**3 wrt i?\nAnswer: 48*i - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*n = -132*n - 378 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -339893 plus -837?\nAnswer: -340730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 4 - 4 + 0*v. Let m(q) be the second derivative of -11*q**3\/6 + 10*q. Determine m(r(a)).\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330322 (base 5) to base 16.\nAnswer: -e364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 130, 189, 280, 403?\n\"Answer: 16*g**2 + 11*g + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -7*p + 9*p. Do p and -87 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(936)*-3 + sqrt(936) + -2*1*sqrt(936))\/((sqrt(242)*-3 - sqrt(242)) + sqrt(22)\/(sqrt(22)\/sqrt(2))).\nAnswer: 24*sqrt(13)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 294*t**3 - 260?\nAnswer: 882*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, -2\/3, -5, 0.31, 2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*o, -139*o + 57*o = -3*y - 86*o - 4 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - sqrt(121)*-2)*-1)\/(sqrt(176)*-4).\nAnswer: 3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2968, -11867, -26704, -47485, -74216, -106903?\nAnswer: -145552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 6*x - 3*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and -0.0469.\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303 (base 6) in base 4?\nAnswer: 23313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-18))\/(567\/(-648)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 11*g - 9. Let f be k(4). Determine j so that -6*j + 2*j + 6*j + f*j**2 - 20*j = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 96529536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*j = -14, 3*j = 3*k - 38 + 5. Let z = k - 7. What is the third derivative of -4*q**6 + q**6 - 5*q**2 - 5*q**z - 4*q**6 wrt q?\nAnswer: -840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -2 + -1*sqrt(98))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 5*g - 7. Let q(x) = -x**3 - 2*x + 3. Let y(p) = -3*c(p) - 7*q(p). Let m be y(0). Solve -3*v + v = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 2873*x + 510*x + 25 - 50.\nAnswer: 3383*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.5. Let w = r - -1.3. Let s = -2.4 + 6.4. Which is the nearest to 1? (a) s (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/25))**(-30))**(-26) assuming r is positive.\nAnswer: r**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -4 + (-16)\/2. Let a be (2 + (-24)\/10)\/(2\/j). Solve 0 = v - 2*z + a, 0 - 1 = -3*v - z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -4\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 20, -3*v + 3671 = -6*r + r. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in -1, -2\/5, -27\/11, 0.06, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a + 89*a + 6*z + 76 = 0, a + 4*z + 24 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63255.\nAnswer: 3, 5, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - t - 196 - 2*t - 192 - 194 + 376.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d\/(d\/(d*d*d\/(d**9*d)*d*d)))\/d)*d*d\/(d\/d**(-15)))\/((d**(5\/6)*d)\/d**8) assuming d is positive.\nAnswer: d**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k - 910. What are the prime factors of k?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3 = 3*j + 23, 0 = 4*j + 20. Put 5, d, 8 in increasing order.\nAnswer: d, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*o + 8, 1688 = -2*x + o + 1693 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(1024\/112))\/(7\/(-6))*(-304)\/(-855)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120.53675 rounded to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-52)*(-6)\/(-15). Let w = -3.3 + 5. Let r = w + 0.3. What is the biggest value in y, 2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2850369 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1149\/((-7 + 220\/33)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 5*w. Let a(b) = b**3 - 4*b**2 - 2*b + 10. Let h be a(3). Let q be l(h). Solve -d - m + 6*m + 26 = q, -2*d = 2*m + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(126\/27)*-14*(-20)\/(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 2. Let b be p(3). Let u = b - -24. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from jjnjjjjjjjjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4.4. Let s = -11 + 16. Which is the nearest to -2\/3? (a) o (b) s (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Let w(b) = -b**2 + 4*b + 3. Is w(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49288 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -99889\/16001?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 62*h**2 - 7*h + 12. What are the prime factors of m(2)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 425 + 9 - (-6)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 = 26*h - 447. Suppose -4*s = -3*g + 111, -5*s + h + 84 = 4*g. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -274, -17239, -5?\nAnswer: -17239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, d: 3, a: 2, y: 3}. What is prob of sequence eyy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from xmkxmhhkmkxmmmh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - (sqrt(2) - (sqrt(14)\/sqrt(63) + sqrt(2))) - sqrt(12)\/(sqrt(6)*-2) - sqrt(24)\/(-3*sqrt(12)*1)) + 3).\nAnswer: 12 + 26*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 950*u + 4 - 1843*u + 862*u.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -110211?\nAnswer: 110133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 152501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 4762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2256, 4489, 6722?\nAnswer: 8955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2121, 17, 5 in decreasing order.\nAnswer: 2121, 17, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -50. Suppose -3*w = -7*w + p. Suppose -129 = -w*a + 99. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 5. Let o = 49 + b. What is the third smallest value in o, -0.5, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2804*o**2 + 50548*o - 1368 = 0. What is o?\nAnswer: 19\/701, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54191271 and 53316?\nAnswer: 4443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/395424 and 113\/192?\nAnswer: 790848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 257. Suppose -2*t + 1084 = -y*r, -2*r - 3*r - 1629 = -3*t. What are the prime factors of t?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-8) + 1054\/496. Solve 3*d = -l*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/825 + -1106\/2475. Which is the closest to 0.4? (a) u (b) 5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637676941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0 - 1\/60*a**4 + 3*a + 1\/2*a**2 - 2\/15*a**3 + 1\/150*a**5. Let o(j) be the first derivative of u(j). What is v in o(v) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7918\/(-321) - 44\/(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 0*l**2 + 4*l + 4*l**2 + 2*l**2 - 2*l**3. Let k(w) = -3*w**3 + 5*w**2 + 5*w. Let i(f) = -f + 1. Let x be i(-4). Give x*u(d) - 4*k(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/27)\/(2\/6). What is the closest to z in 2, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1764*t - 385. What is the tens digit of m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 6. Suppose 11*m + z = 28. Factor o**3 - 1\/3*o**m + 0 + 0*o.\nAnswer: o**2*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-132)*1 + 146890\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 7*n - 68. Let j = n + 21. Calculate the highest common divisor of j and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*w - 804*w - 2 + 246*w.\nAnswer: -495*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 1. Let f be d(3). Let u(n) be the second derivative of -n**5\/20 + n**4\/4 - n**3\/2 + 3*n**2\/2 - 3*n. Let r be u(f). Solve 0 = g + r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.04 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 3*r. Let o = -1.93 - -2.43. What is the closest to r in -5, o, 3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 905850 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(19) + sqrt(931) + 2.\nAnswer: -5*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.69 + -0.6. Let m = 17.09 - v. Let s = m + -19. What is the second biggest value in -7, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 12 + -16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v**(3\/4)*v*v**(1\/5)*v*v*v*v*v**(-2\/15) assuming v is positive.\nAnswer: v**(529\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91 - -97)*26\/6. Calculate the greatest common factor of q and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208943 + 208942.99834037. What is m rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 3, x: 4, b: 2, h: 2, k: 2}. Give prob of picking 1 k and 1 x.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1292491 divided by -172\nAnswer: -1292491\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154218862 by 1.\nAnswer: 154218862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38719\/84 - 461. Let s = i + -1\/12. Let x = -2405\/7 + 343. Which is the second biggest value? (a) s (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -1319.994?\nAnswer: -1319.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y, -o - 3*o + 5*y = 1340. What is o rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, 1372, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2239203 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -29, -0.36, 2.7, -0.3 in decreasing order.\nAnswer: 2.7, 6\/11, -0.3, -0.36, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3817*a**2 + 3809*a**2 - 7632*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 6333535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and -22.6?\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(-1 + sqrt(200)))**2 + -6*(sqrt(10)\/(1*sqrt(125)))**2.\nAnswer: -320*sqrt(2) + 80388\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*w - 6*p - 4, 0 = 5*p + 10. Which is smaller: 5\/13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 38 = 5*c, 143*c = 145*c + 3*b - 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1247366 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 7*w + 1. What is q(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let n(o) = -13060*o**2. Calculate n(m(t)).\nAnswer: -13060*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/1)\/(-6))\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 - 10011001110000?\nAnswer: -10011001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -96200 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187 - 1127\/6. Let z = 2114\/19 - -25160\/57. Let q = z - 531. What is the common denominator of c and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o + 2. Let v be w(-4). Let y be v\/165 + (-274)\/30. Let l = y + 44. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 3 = 3*l - 4*r, 16*r = l + 34*r + 51 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800 divided by 200?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.4723417 to one decimal place.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4224448 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007802 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5630947\/4 or -1407737?\nAnswer: -5630947\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 68. List the prime factors of 3\/(-2)*z\/6*41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 + s**2 + 13*s. What is the remainder when 5485 is divided by a(4)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from ooooyoooooooooyoooyy.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 618 = 13*q. Let t = 176 - q. Suppose v - t = -l, 15 = 2*v + v. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 150 + 214*y**2 - 212*y**2 + 497.\nAnswer: 2*y**2 + y + 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2354611\/327030 + 1\/65406. Determine f, given that 16\/5*f**4 - 162\/5*f - 108\/5 + 32\/5*f**3 + 2\/5*f**5 - j*f**2 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94220172 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8902 * -11.6.\nAnswer: 103263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/120 - d**5\/30 + 5*d**4\/24 - d**3\/3 - d**2. What is the remainder when 29 is divided by z(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 7885650.\nAnswer: 7885650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*(sqrt(1900) + 1) + (-1 + sqrt(1900))*6 - -6*(-3 + (sqrt(1900) + (sqrt(1900) - 1*sqrt(1900) - sqrt(1900)) - sqrt(1900))))*-2)**2*-5.\nAnswer: -76000*sqrt(19) + 1914440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, e: 2, l: 2, i: 1, j: 2}. Give prob of sequence jeei.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r - 4*r + 4 - 68890*r**2 + r. Let n be v(3). Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a - 13. Let m be z(-8). Suppose -72 = -g - m. Suppose 2*q + 2 = 12. Solve -r + 2*r = 5*k - 11, -q*r + 4*k = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 + 2721*g**2 + 2688*g**2 - 4*g + 4 - 5436*g**2 in the form n*g**2 + a*g + h + t*g**4 + o*g**3 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*f + 4*g = 34 + 15, 32*g + 37 = 3*f + 16*g + 14*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*b - 263*b = -15. Let a(s) = 5*s**3 - s**2 + 3*s - 1. Calculate a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -731577 - 2?\nAnswer: -731579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/170 and -123\/340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 5*v - 5. Let l be i(6). Which is smaller: 3\/4 or l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6377 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 u = 0.52 + -0.32. What is the nearest to u in 0.5, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -79649687 and -79649686 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.4392551 + -44.\nAnswer: -21.5607449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b + 9. Suppose 14*p - 77 = 7*p. Let g(i) = -2*i + 5. Give p*g(l) - 6*m(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90682 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0)\/((-45)\/(-6)). Let w = -1 + 4. Let z = w - 0. What is the closest to 2\/7 in z, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(sqrt(2736) + -1*sqrt(2736)))**2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*f - 17 = 0, r - 5*f - 415 + 434 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/n**(-5)))\/(n**(2\/19)\/n))\/((n*n**2*n)\/(n\/((n\/(n*n*n**(12\/5)))\/n*n)*n*n)) assuming n is positive.\nAnswer: n**(-67\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 18 = -2. Suppose 2*c + 3*x - 21 = 0, 29 = u*c + 2*x - 18. What is the remainder when 95 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33195918491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41258763 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzb when three letters picked without replacement from sbziiizzzsszzzzbzzi.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278329?\nAnswer: 278329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69440302 to four dps.\nAnswer: 0.6944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4948676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*p = -20, -2*x + 22 = 3*p + 6. Let n(t) = -16 + 51 + 0*t**x - t**2 + t. Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100143 (base 5) to base 4.\nAnswer: 301211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(-10))*o**13)\/(o**3*o*o*o**(2\/27)) assuming o is positive.\nAnswer: o**(-83\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 30. Suppose 0 = -s*z + z - a - 14, a - 14 = -z. Calculate the greatest common divisor of z and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l - h - 116 = 0, -4*l - 2*h = -116. Let v(s) = -4*s**2 + 1 + 3 + 38*s - 25*s - l*s. Let y(u) = u**2 + 5*u - 1. Determine -2*v(d) - 7*y(d).\nAnswer: d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -30, 6, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = 62*j - 67*j. List the prime factors of j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723468447 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/2213 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h - 63*h = 59*h - 670 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let i(z) = -4*z + 10. Let n(s) = -3*f(s) + i(s). Let b(l) = l**3 + 10*l**2 + 7*l + 13. Calculate the remainder when b(-9) is divided by n(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**6\/120 - j**5\/40 - j**4\/4 + j**3 - 2. Let l(i) be the third derivative of c(i). Suppose l(p) = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = 4*j + 1, 5*j = -2*o + 18. Solve 0 = 4*v - 4*t, 2*t = 3*t + j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 16. Let a be n(8). Suppose 0 = -0*h + h - a. Suppose h*m = 9*m - 30. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28381200 rounded to the nearest one hundred thousand?\nAnswer: -28400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1*b)\/b)**(12\/11)\/(b**(1\/3))**14 assuming b is positive.\nAnswer: b**(-118\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -1\/350, -4?\nAnswer: -1\/350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101.6, -3\/8, 49.\nAnswer: -3\/8, 49, 101.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193294621 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/21 + 7*i**4\/12 + 13*i**2\/2 + 9*i. Let n(b) be the first derivative of x(b). Find the second derivative of n(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7757 - 0.0094.\nAnswer: -7757.0094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -28.2.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010100 + 11?\nAnswer: -101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1 + 1)\/2. Suppose 0*v = -v. Let n = u - v. Solve n = -5*y + 4*o - 9, -3*o = y + o + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, r: 2, f: 3}. Give prob of sequence nr.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*d = 99, -3*n - 72 = -2*n - 4*d. Suppose 0 = -11*j + 5*j + 768. Let m = j + n. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 259*u. Let q(m) = -m**2. Determine q(s(x)).\nAnswer: -67081*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 19. Give d(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w + 91*w + 322 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 31*i - 33*i. Which is the smallest value? (a) -1\/3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 8*c - 7. What is r(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 157954.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(90))\/sqrt(2) - (-2 + sqrt(45) + sqrt(45))*1) + -2*(sqrt(1125) - (sqrt(1125) + -4)).\nAnswer: -3*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6937648 millennia?\nAnswer: 8325.1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h + 3*b = 29*h + 14, 4*b = -4*h + 12. What is the closest to 3\/7 in -0.1, h, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/59 + 139\/413. Which is the second biggest value? (a) x (b) 4\/3 (c) 1.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = -18. Let j(p) = -3*p - 13. Let t be j(-3). Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(44\/(-176)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 1. Let x(o) = 13*o - 8. Let c(q) = 2*q. Let r(d) = 6*c(d) - x(d). Let u be r(9). What is l(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by -6.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -52 in ascending order.\nAnswer: -52, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26884 greater than -7081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3391 = -12*g - 1147. What is the greatest common divisor of 9163 and g?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 2, v: 1, w: 2}. What is prob of sequence wo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 - 2. Let k be i(0). Let j(y) = y**3 + 3*y**2 - 2. Let d be j(k). Suppose 21*g = 16*g - 10. Sort g, d, 5.\nAnswer: g, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(333\/(-296)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*d**2*p**2 + 1394*d**2 + 7*d*p**2 + p**2 - 2*p - 73 wrt d?\nAnswer: -32*p**2 + 2788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 10*b + 5 + 9*b - 36*b. List the prime factors of h(-5).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(1 + sqrt(34)\/sqrt(18))**2*2.\nAnswer: 8*sqrt(17) + 104\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Solve -q - o = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 3.1. Let w be 7\/14*8\/(-14). Put 3\/2, v, w in decreasing order.\nAnswer: v, 3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*n - 2702 - 58. Suppose 2*z = -10*z + n. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112000000 (base 3) to base 7.\nAnswer: -264345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 512495543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5019 + 4802 + 2325 + 12991 = -1323*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10175592151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.253 + -0.157. What is m rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121866*w + 335072?\nAnswer: 121866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47258.\nAnswer: 2, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 7*o - 22*o = 28. Which is the closest to o? (a) -0.1 (b) 5\/4 (c) 66\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/32*6\/150*-7. Is f at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)*((-109)\/(-14) - (-1235)\/(-190)). Find r such that -3\/7*r**2 - m*r - 6\/7 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 to the power of 1\/3, 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 646 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 79 = -145. Let b = l + -72. Suppose -t + b = 4*t. What is the remainder when 15 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let u(f) = 3*f - 2. Let v be u(6). Suppose t = 3*q + q - v. Solve -5*z = n + 19, z - 2*n - 17 = q*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**8\/112 + w**7\/420 - w**6\/12 + 3*w**5\/40 + w**4\/6 - w**3\/3 - 23*w**2. Suppose t(d) = 0. Calculate d.\nAnswer: -2, -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.257? (a) 3 (b) -18 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + w)*(w + 0 + 0) - 2 + 2 + w**2 + 288*w + 97*w**2 - 288*w.\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuluoloullolllluo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a0b (base 13) in base 5?\nAnswer: -313424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 19*d - 22. Let s be u(18). Let n be s\/(-2) + (0 - -272). Let x = -120 + n. Calculate the highest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let k(v) = -12*v + 13. Let t be (-3)\/(0 - 3 - 0). Let z(a) = t - 2*a + 2 + 0 - a. Let x(l) = 6*k(l) - 26*z(l). What is x(n(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 14*q**2 + 68*q + 43. Let m(r) = 5*r**2 + 23*r + 14. Let p(z) = -4*b(z) + 11*m(z). Let h be p(-18). Solve h = -2*v - 7 - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0793 + 1.0793. Do j and -0.593 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -296833? (a) 7 (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02139517675 to six decimal places.\nAnswer: 0.021395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 36*p**3 + 0*p**3 - 2.\nAnswer: -36*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 531, 700, 887, 1098, 1339, 1616, 1935?\nAnswer: 2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 + 3*l + 3. Let g(v) = -34*v**2 + 8*v + 15*v**2 + 14*v**2 + 8 + 14*v**2. Calculate -4*g(s) + 11*k(s).\nAnswer: -3*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 46 + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/4*l**2 - 3\/2 - 17\/4*l = 0.\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 4*z - 21, z = 5*l + 4*z - 28 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 28*h + 137. What is v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 759679559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9550 divided by 25?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (228\/16)\/((-9)\/(-24)). Let a be (-3 - 1) + 4 + l. Suppose 2*r - a = -0*r. Solve 5*m = -2*t + r, -2*t + 2 = 2*m - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -959 - -959. Let t(d) = -d**2 + 9*d + 18. Let v be t(10). Solve 4*s - 6*s - v = p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(3\/(-54)*3). Let n be (2\/x)\/(1\/12). Let i be (-1 + 0)*-1*(0 - 0). Put i, n, -3, 7 in descending order.\nAnswer: 7, i, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Let o be -2 + 5\/(5\/8). Is o\/9*879\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17672858*a - 22006117.\nAnswer: -17672858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d88 + 1?\nAnswer: 3d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/13, -4, -0.4, 0.2182, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1131)\/(-6) + 5\/10. Suppose 13*u = t - 20. What is the remainder when 76 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(6\/11)*l**7*(l**(-5\/4)\/l)\/l**(-7) assuming l is positive.\nAnswer: l**(585\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*z - 23. Let l be 24\/z + (-2)\/(-5). Find w, given that 2*w**4 - 2*w**3 - 3*w**3 - l - 4*w + 5*w**3 + 4*w**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 334 - 7. Suppose -3*o = -4*s - f, -4 = -3*s + 4*s. Suppose -o*l + 344 = 3*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2436*q + 484251 = 1782*q - 2679*q - 1874*q for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000)\/sqrt(10)*-2 - (sqrt(10)\/sqrt(2) + 3 + -1))**2.\nAnswer: 84*sqrt(5) + 2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234 - 206. List the prime factors of (-36872)\/(-36) - -2 - j\/126.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 16*t**2 - 59*t - 690. Calculate w(-15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2175, -33, 1 in increasing order.\nAnswer: -2175, -33, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 15*o**2 + 40*o - 46. Let x be p(12). Which is the fourth biggest value? (a) 3 (b) x (c) -0.4 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -199*g - 4. Let d(b) = 249*b + 5. Let j(q) = 4*d(q) + 5*p(q). Let o(m) = -1650*m. What is o(j(n))?\nAnswer: -1650*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:22 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a - 3. Let k be d(0). Let r = k - -3. Suppose -1030 - 104 = 189*l. What is the nearest to r in 1\/6, l, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 - 0)\/4)\/(-1). Suppose 5*u = -q*u - 2*b - 1902, 5*u + 1926 = 4*b. Let n = 747 + u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*l - 286*l - 914*l + 329*l + 183*l.\nAnswer: -1317*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((16\/50)\/(-1))\/((-58)\/145). What is the closest to 0.1 in a, 1\/4, -1\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-143593.\nAnswer: -2871.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 707057 and 37515309.\nAnswer: 5161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155016 + -25?\nAnswer: -155044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*w - 5*b + 14, -3*w = 2*b - 19. Suppose -4*l + 5*l + 2*u = 1, 5 = -w*l - 5*u. Sort -5, l, 11 in descending order.\nAnswer: 11, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -2*l**5\/5 + 3*l**4 + 16*l**3\/3 - 6*l**2 - 14*l - 16. Factor f(p).\nAnswer: -2*(p - 7)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:28 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1154 (base 11) to base 2.\nAnswer: -10111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/46068811 + -303731675515\/52886995028. Let t = -2\/287 + c. What is the common denominator of t and 18\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = q, 2*q + 3*t - 2 = -0*q. Suppose -q*w - 4*d + 42 = -5*d, 3*w - 36 = 3*d. Let g = 0 + w. Calculate the smallest common multiple of 2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l**2 - l - 2. Let h be u(-2). Suppose -19 = 2*d - 1. Let s be ((-24)\/d)\/(2\/3). Is s equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 11 + 4 + -27.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/23, -2\/19, 4, 14, -5, 15\/412?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2688 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 179 = -2*t - 175. Which is the second smallest value? (a) -1 (b) t (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100201 + -1121021012?\nAnswer: -1121121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -225.6, -2\/5, -1\/3, 0.1, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*s + 714 - 250*s + 296*s)*(2*s**2 + 1 - 1).\nAnswer: 16*s**3 + 1428*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(136)\/sqrt(512) + sqrt(119)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: -12393\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -210*w - 887. What is the hundreds digit of i(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225284 (base 10) to base 8.\nAnswer: -670004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 11*s - 45 = 0. Let k(q) be the third derivative of 0*q**3 + 2*q**2 + 0*q + 0 + 1\/30*q**s + 0*q**4. Let t(l) = -4*l**2. Calculate k(t(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1222 = -9260*n + 9307*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - -58. Suppose 0*t + 551 = -19*t. Let o = j - t. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1019 - 54005\/53. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-41)\/((-5453)\/38)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 23. Let t = 5802 - 5816. What is y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187275*n**4 - 38841*n**2 + n wrt n?\nAnswer: 4494600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179 and 1051144564.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**7\/1260 - d**6\/270 + 2*d**3\/3 - 1. Let i(o) be the third derivative of a(o). Let i(q) = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 + 7*p**4\/12 + p**3\/3 - 5*p**2. Let y be l(-14). Solve 3*a + 3*s = -3, -y*a + 18 = -s - 2*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 134*z + 4 - 7*z**3 + 134*z.\nAnswer: -7*z**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3289500 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 10*x + 9. Determine c(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*h = 462*h + 3690. What is the remainder when 737 is divided by h?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 39 - 13 - d**2 - 2 + 5*d. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1354395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-7980)\/504)*(-15)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2162*f**2 + 18*f - 7*f - 11*f - 5452*f**2 to the form h + y*f**2 + p*f and give y.\nAnswer: -7614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3892.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7566*g + 3*k - 13 = 7571*g, -3*k + 7 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2425 (base 6) to base 12.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057*i - 1026*i - 1031*i + 2172*i**2.\nAnswer: 2172*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.11, -5\/3, 2 in descending order.\nAnswer: 2, -0.11, -0.2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-24)\/(-294))\/((-26)\/728)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x**2 + 5*x. Let r(p) = p. Give -d(i) + 5*r(i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209658 is divided by 1762?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.37, 5\/6, 1\/15 in decreasing order.\nAnswer: 5\/6, 1\/15, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*n**4 + 168*n**3*s + 3*n**3 - 2*n*s + 3062*s - 3 wrt n?\nAnswer: 1224*n**2 + 1008*n*s + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n + 5572 = 12342 - 6192 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + r - 4, -5*b + 4*r + 2 + 0 = 0. Calculate the smallest common multiple of 54 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(59 - 68).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/(-1050))\/((-33)\/(-55)))\/((-2)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 3 + 15 + -10 + -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 35*q - 9. Give v(3).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-4 + (-2 - 1)). Let i be ((-3 - 1) + p)*5. Let b(r) = 3 + 3*r + 0*r + 0 - 4. What is b(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -36. Let t = -1915 + 1918. Solve 0*u + p*u - q + t = 0, 0 = -4*u - 5*q - 23 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 5*q**4 + 9*q**4 - 6*q**2 + 0*q - 2*q - 1 + 6*q**4 - 3*q**4 in the form l*q + t + j*q**3 + a*q**2 + f*q**4 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192 (base 10) in base 14?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24610659.3 nanoseconds to days.\nAnswer: 0.00000028484559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21687.\nAnswer: 3, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(152) - sqrt(152)*1))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149629970 a multiple of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - (-2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 2931408?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76028531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6756, 13742, 20722, 27696, 34664, 41626?\n\"Answer: -3*r**2 + 6995*r - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 47*l**2 - 239*l - 5. What is i(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -410 - -434. What is the remainder when 246 is divided by (-760)\/c*(-21)\/35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*m = 2*p - 4, -19 = 4*p - 5*m. Let q be (-9)\/(-3) - 3*p. Suppose -7 = -2*h + g, 3*g = -q*h + 4*h - 13. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*((-952)\/72 - -17)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 193*d + d**2 + 3*d**2 + 0*d**2 + 194*d + 4 - 389*d. Give x(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -34, -70, -128, -214, -334, -494?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0332 to two dps.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9170*n + 225833 = -21757 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 52689.\nAnswer: -5\/52689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 57120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.2 in -1\/31, -1, -3, 125, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 3*h - 2. Let x(b) = 15*b**2 - 21*b - 19. Let a(d) = -8*n(d) + x(d). Let i(f) = f**3 - f. Let u be i(2). Give a(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 964369, 3857216, 8678539, 15428338, 24106613, 34713364?\n\"Answer: 964238*k**2 + 133*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 + 2*l**3 + 30*l**3 - 32*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2340 and 3462660.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymu when three letters picked without replacement from {p: 2, n: 1, y: 2, u: 1, r: 1, m: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -12*q**2 - 5*q + 5. Let a(t) = -13*t**2 - 4*t + 4. Give 5*a(p) - 4*s(p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2407 - 19647 - 15811 = 307*t - 9928 for t.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 48 = 6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**2\/2 + 24*z + 472. Suppose 2*o + 10 = 0, -v + o = v + 39. Let i be k(v). Solve 2*a - 10 = i*x, -x + 6*x + 4*a = 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129*n**2\/4 + 104747*n\/4 + 203.\nAnswer: -(n - 812)*(129*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/39*24\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - 6*x**3 + 16*x**3 - x**3 + 2*x**2 - 2*x**2 + (0*x + x**2 + 0*x)*(2*x - 4*x + 4*x) + 3*x**3 - 2*x**3 + 6*x**3 + 5*x**3 - 31*x + 31*x.\nAnswer: 23*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t - 241 + 871. What is the derivative of -2*f + 101 - t*f**2 - 36 + 3*f wrt f?\nAnswer: -84*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43075387?\nAnswer: 661, 65167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 2300069046.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 615*y - 1838*y + 612*y + 610*y + 5. Determine j(25).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*s = -t + 62, 3*s = -6. Let l be 3\/(22\/(-26) + 2\/t). Let v be l*24\/(-18) + -2. Solve -3*k + 12 = w, -2*k + k + 4 = -v*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 4\/(-18))\/(652\/(-3)). Let u = f + -8315\/1956. Let c = -1\/572 - -35753\/1716. What is the common denominator of u and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -65. Let y = 25 + r. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 10130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63498666.\nAnswer: 2, 3, 7, 11, 137443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34650 and 4.\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 233*b - 231. What is the tens digit of d(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 3*l + 5*f, 11*l - 196 = 8*l - 2*f. What is the highest common divisor of 266 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {d: 2, v: 4, m: 9, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.009 + -570.991. Let s = w + 573. Which is the second biggest value? (a) s (b) -3\/4 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/7, -3, 0.1, -4164, 15 in decreasing order.\nAnswer: 15, 2, 1\/7, 0.1, -3, -4164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxahaxexxxah. Give prob of picking 1 a and 3 h.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 15 = 13*i - 18*i, i + 20*y - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.031?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -0.2 (b) 16\/43 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2 + (4 + -12 - -3)). What is the hundreds digit of (14 - t)*(-1230)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -3*n + 4*s, 2*n + 537 = 5*n + 3*s. Suppose -n = -4*t + 6. Let y(l) = -4*l - 4. What is the remainder when t is divided by y(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2939)\/((-289)\/34 - -8) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 - 427. Let z = r + 503. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 at least as big as -369\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878 a factor of 17533008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - sqrt(63)) + 5)*-5.\nAnswer: -25 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2827*r - 2912*r + 5118*r to the form q*r + a and give q.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.09398 (b) -1\/6 (c) 3 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -1 - 11. Suppose -i*q - 5*m + 10 = 0, 0*q + 3*q - 5*m = -10. Solve l + 4 + q = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1480479529*v**2 - 5540688*v + 5184.\nAnswer: (38477*v - 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -0.2, 0.1, 1\/2, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7717328 to the power of 1\/2, to the nearest integer?\nAnswer: 2778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/108 and -79\/33.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 10 = b. Solve 2*a - b*a + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*m**5 - 1151*m**2 + 1151*m**2 - 2 + 2 + 2*m**5 + (4 - 3 + 1)*(-m**3 + m**3 + m**5) + m**5 - 2*m**5 + 2*m**5.\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-1 + 13 - 13)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 2*w - 3 + 41*w**3 - w**2 - 3*w**2 - 15*w**3 - 20*w**3 to b*w**3 + r*w**2 + j + s*w and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -107064 and -6.5.\nAnswer: 695916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1201 + 221230332?\nAnswer: 221224131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33829909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w + (4 + 0 - 1)*(-w + 0 + 0))*(639*w - 264*w - 248*w)*(-2 - w + 2).\nAnswer: 635*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5101.2 times 56?\nAnswer: 285667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160.4 + 13.8. Let q = 174 - f. Is q >= 1\/261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 3*f + 3*f + (2*f + 3*f - 11*f)*(-2*f**3 + 0*f + 0*f) - 130 - 150 + 3*f**4 + 68.\nAnswer: 14*f**4 - 212","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = 5*v. Let m be 2\/(-7) + 160\/(-28). Let u(i) = i**3 + 6*i**2 + i - 3. Let z be u(m). Sort z, -5, v in decreasing order.\nAnswer: v, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c - 27. Let v be n(-10). Let u = v + 134. Calculate the remainder when 23 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 165*s**3 - 1189*s**2 - 2571*s - 1548.\nAnswer: (s - 172)*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0432 + -1.4\nAnswer: -1.3568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33859 + -1422235\/42. Find the common denominator of k and -85\/1008.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*i**2*r**2 - 55*i**2*x - i*r**2*x + 226*i*r*x - i*r - r wrt i.\nAnswer: -32*r**2 - 110*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) + 100\/7. Let 7*i**5 - 10*i**4 + 180*i - 38*i**5 + 22*i**5 - 55*i**3 + 60*i**2 + g*i**5 = 0. Calculate i.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from xgxxgxgxrearrgar?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 11*o**2 + 11*o + 12. Let u(d) = 4*d + 26. Let a = 40 + -48. Let p be a\/(-4) + -15 + 4. Let r be u(p). Determine q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 264743, 264703, 264635, 264539, 264415?\n\"Answer: -14*a**2 + 2*a + 264755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 + -163.000099. Round v to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.359875 kilograms?\nAnswer: 7359875000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x - 10. Let m be a(8). Let q = -4 - m. Is -1 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(2 + -4) - -6. Let u(m) = -3*m**3 - 7*m**2 + 6 - m**3 + 2*m**c + m**3 + 5*m. Is u(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 618416, 618429, 618452, 618485?\n\"Answer: 5*d**2 - 2*d + 618413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 359*y + 1. Let b(x) = -11713*x. Calculate b(m(h)).\nAnswer: -4204967*h - 11713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -30*s**2 + 31*s**2 - 3*s + 3*s. Let h = -2 - 0. Let g(b) = -b**2 - b - 1. Let r(n) = -2*n - 2. Let k(t) = h*g(t) + r(t). What is i(k(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(sqrt(325) - (sqrt(325) + 1)**2)*-5 - ((-2*(sqrt(325) + -2))**2 - (-1*sqrt(325) - sqrt(325))*5).\nAnswer: 180*sqrt(13) + 8464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-8)\/4 + 0). What is the second derivative of -39*w**2 + 116*w**x - 57*w**2 - 40*w**2 + 4*w wrt w?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 - 344. Let o be (-2)\/(-12) + v\/(-60). Suppose 4*q + 2*c = o*c + 130, 0 = 3*q - 3*c - 102. Calculate the least common multiple of q and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 89. Let o be ((-8)\/l)\/((-664)\/(-60) - 11). Is o greater than or equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -1\/7, 1, -166, 19, 0.076?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/41529 (c) 4\/13 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.27 - -2.4. Let k = 94729.870042 + -94730. Let h = k + g. Round h to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r. Let o(d) = d. Suppose -5 + 0 = -5*q. Let z(y) = q*k(y) - 2*o(y). Let g(b) be the first derivative of 2*b**3\/3 + 2. Give g(z(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451347 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40463048?\nAnswer: 2, 211, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 15*j - 332. Let i = 311 + j. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -6*w + 0*w**4 + 0*w**2 + 0*w**5 + 0 - 1\/6*w**3 - 2\/15*w**6. Find the second derivative of d(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 0. Let s = -24 - -74\/3. Which is the second biggest value? (a) s (b) y (c) 1\/5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - d - 3, -3*z + 8*d = 3*d + 13. What is the tens digit of 42*((3\/(-6))\/z + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 5, m: 1, t: 8}. Give prob of sequence mtzz.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*t - 4430, 3*t + 1477 = 3*h - 1169. Let r = 555 - t. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + v**3 + 2*v**3 + 0*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3814, 7622, 11418, 15196, 18950, 22674?\nAnswer: 26362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52101?\nAnswer: 3, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 2}. What is prob of sequence oqo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310*n**5*v**2 + 17*n*v + v**2 wrt n.\nAnswer: 6200*n**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002351444303 rounded to six decimal places?\nAnswer: 0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 374?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*l + 5*l - 33*l)*(4*l**2 - l**2 - 2*l**2) in the form x*l + f*l**3 + v*l**2 + n and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*y = 137, -8*t - 2*y = -3*t - 138. Suppose -33*x + t*x + 15 = 0. Suppose -6\/5 + 3\/5*l - 9\/5*l**4 - 3\/5*l**3 + x*l**2 = 0. Calculate l.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 + 2*g**2 - 1. Let d be (-7)\/((-1 - -2)\/1). Let v be (-37)\/7 + (-2)\/d. Let k be v*((-2)\/(-10))\/(-1). Calculate a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d98b0 (base 14) in base 8?\nAnswer: -20274042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 15. Let q = -130 - -648\/5. Let t = 2.6 + -2.4. Sort a, q, t in increasing order.\nAnswer: a, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -125, -375, -857, -1649?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 663 + 657. Let d = 120 - 98. Calculate the smallest common multiple of q and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -13. Suppose i*z + 5*c - 3*c - 68 = 0, 0 = -z - 5*c + 9. What is the least common multiple of (-4)\/(-6) + 192\/9 and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -5 (c) 0.0001 (d) -6541 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*v + 7. Let n(l) = -l + 8*l + 29 - v*l + 4*l - l**2. Let z be n(9). Solve -4 = 5*u + 6*x - z*x, -3*x - 3 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42731.94g in tonnes?\nAnswer: 0.04273194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.5 - 25. Let a = 1\/4 - 0. What is the closest to a in -1\/3, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 7:01 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1792)*2 + sqrt(1792) + sqrt(1792))*6 + sqrt(1792)))\/(-4*((sqrt(8) + -1*sqrt(8))\/sqrt(2) + sqrt(180)\/sqrt(5))).\nAnswer: -100*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00142137494 to six dps.\nAnswer: -0.001421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 140*d**2 - 10*d - 8. Let z(v) = -v**2 - v. Let o(q) = u(q) + z(q). Let k be o(8). Round k to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w**3 - 7*w**3 + 2*w**3)*(-6*w + 3*w + 2*w) + 0*w**4 + 2*w**4 - w**4)*(3 + 0 - 1) - 4*w**3 - w**4 + 4*w**3.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1745604467 = -61*s - 1401384844 + 580902311. What is s rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(-15)\/6*4. Calculate the highest common divisor of 32 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 966, 968, 972, 978, 986?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 30, 76, 144, 234?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 - 4*c + 9. Let j = -281 - -284. Let h(g) = -g**3 + 3*g**2 - 2*g + 4. What is j*f(m) - 7*h(m)?\nAnswer: 4*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1, 5, 0.3, -156?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89947 and 8569?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/6 + 71*q**2\/6 + 45*q + 100\/3 = 0.\nAnswer: -5, -4, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, y: 1, w: 1, k: 3, u: 1}. What is prob of sequence yug?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9036 and -5\/1259016.\nAnswer: 3777048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10096 divided by -4\nAnswer: -2524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 7. Let q be r(-8). Let y = 64 + -64. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -12 - (-68 + 99)) + 3 + -1 + 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6917, 13831, 20745, 27659, 34573?\n\"Answer: 6914*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 209\/3, 12, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68542*u - 1550 = 68480*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352017554.\nAnswer: 2, 7, 41, 499, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/(-2 + 531\/255) - -4. Which is the second smallest value? (a) -7 (b) 2 (c) p (d) 0.2 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 311?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1356414 and 0.6.\nAnswer: 813848.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*f = -16 + 68, 2*n - 24 = 3*f. Let d = 8 - 3. Calculate the smallest common multiple of (1\/(-3))\/((-3)\/n) and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133a8 (base 12) in base 16?\nAnswer: -6770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4214161980912 from -0.01.\nAnswer: -0.4314161980912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 153\/45698800 and -43\/250?\nAnswer: 228494000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16816 is divided by 16347.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 489*j**2 + 4*j + 20. Let m(p) = 3*p**3 + 1468*p**2 + 11*p + 55. Give 4*m(u) - 11*n(u).\nAnswer: u**3 + 493*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -19. Solve -4*x - 13 = a, 4*a - w*a + 5 = -x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/10 + 3947*l**4\/10 + 3880861*l**3\/10 - 27320163*l**2\/10 + 3908529*l = 0. What is l?\nAnswer: -1977, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 370. Determine y(54).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93982*z + 68335 = 94847*z for z.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/3 - 12\/18. Suppose 195 = x*g + 2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4534 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -646\/53799 or 1?\nAnswer: -646\/53799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(13)) - sqrt(104)\/sqrt(200).\nAnswer: -15 + 24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 + 16*n**3 - 2 - 1.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49402?\nAnswer: 2, 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -1\/20*g**5 + 0 - g + 0*g**2 + 5\/12*g**4 - g**3. What is p(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 172*w**2 - 418*w + 12774. Calculate x(170).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-16)\/(-90)*23*90\/(-52440).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millisecond in microseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 76. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 - 94) + (-1 - -42).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.091, -3\/11, 7, 3\/7 in decreasing order.\nAnswer: 7, 3\/7, -0.091, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29891 divided by -71?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/37908 and 97\/8748.\nAnswer: 113724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -0.1 (c) -0.08 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*t**2 - 2\/7*t**3 + 0 + 0*t.\nAnswer: -2*t**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 4*k + 2. Let p be l(-4). Suppose -3*m = -2*m - p. Suppose 0*o - m*o = -6. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 14.6\nAnswer: 262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 25. Let b be (6\/(-8))\/(m\/(-1442736)). Let c = -49228 - b. Round c to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -409*f**4 - 299*f**4 + 1196*f**4 + f**4 - 6*f**4 + 3*f**4 - 9*f + 2*f**4 + 0*f + 0*f + (f - 2*f + 2*f)*(-2*f**3 + f**3 + 2*f**3).\nAnswer: 489*f**4 - 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 125 - 25*l**2 + 69*l**2 - 63*l**2 - 41*l**2 + 2*l**3 - 63*l. Let r be w(61). Suppose d - 1 - 1 = 0. Put r, 1, 2\/9, d in ascending order.\nAnswer: 2\/9, 1, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**6\/360 - p**5\/15 - p**4\/12 + 2*p. Let y(m) be the third derivative of l(m). What is the units digit of y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**2 - 17277846*y + 155500371 = 0.\nAnswer: 9, 5759273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 1. Let k(h) = 4*h**2 - 5. Let l(b) = -9*b + 18. Let a be l(15). Let m = -115 - a. Determine m*k(c) + 9*d(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538037691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c9130a + -8?\nAnswer: 1c91302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2399 * -2107\nAnswer: -5054693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 3*c - 7. Suppose j - 6 = -2*i, -2*i + j - 3 + 5 = 0. Suppose i*q - 6*q = 20. What is l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -61 (b) 5 (c) 3 (d) 0.4 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*u - 22, 4*u + 10 - 34 = -4*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, 0.039, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -2650\/319?\nAnswer: -2650\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000092129499 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/144 + (7\/(-8))\/7. Let v be 4 + -1 + 1\/(-1). Solve -v*u - c = -0*c - 7, m = -4*u - 5*c + 29 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434 (base 6) in base 16?\nAnswer: -17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13470*o - 8. Let q(t) = -22*t + 2. What is -g(b) - 4*q(b)?\nAnswer: 13558*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y**(-2\/21))**6 assuming y is positive.\nAnswer: y**(-214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57961677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose 0 = n + 4, 0 = -y + 6*n - 2*n + 18. Suppose -2*c + 189 = 5*a, -y*a = -i*c - 0*c + 154. Calculate the remainder when c is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100113 + 100111. Let b be ((-2)\/15)\/((-3)\/9). Put b, w, 0.2, -1 in descending order.\nAnswer: b, 0.2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 27*n + 75. Let r be d(15). Let v = r + -215. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, -2, 3 in increasing order.\nAnswer: -6, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 3:32 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 67*j**2 - 73*j**2 + 6 + 2. Let i(x) = -4*x**2 + 5. Calculate -8*i(o) + 5*t(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/5474517 and 31\/16423551?\nAnswer: 16423551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 - 368*x + 2111. Determine q(55).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*m = -0*m + 59, -2*z + 8 = -5*z - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5915744 divided by 5915744?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2755)\/(-190)*(-40)\/(-10)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -3. Suppose 4*t + 4*s = 120, q*t - 4*t - 33 = -2*s. Suppose -40*f + 791 - 71 = 0. What is the lowest common multiple of f and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 24721*h - 24711. Calculate y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7856, 62818, 211908, 502160, 980608, 1694286?\n\"Answer: 7839*r**3 + 30*r**2 - r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*g + 2*g. Let b = g - -13. Let r be 6\/10 - b\/(-10). Solve x = 2*x - r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 12*x**2 - x + 17. Determine m(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4360 or 4352?\nAnswer: 4352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12893023 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: Four letters picked without replacement from {w: 6, y: 2, h: 3, n: 1, o: 5, z: 2}. Give prob of sequence hzoh.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from {s: 4, i: 1, f: 3, p: 1, d: 4, t: 5}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104538 is divided by 14854.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.4, 1\/3, 0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 - 1. Let s(a) = -a**2 + a. Suppose 4*r + 5 = 13. Give r*s(v) - b(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5614*k + 5612*k + 28 + 92 = 2*g, -k = 2*g - 62 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 210030313 (base 4) to base 8\nAnswer: 441467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9716 is divided by 9703?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 6 = -2*x. Let p be (-8)\/(-2) + (-56)\/x. Let c = -5 + p. Solve -c = 4*w + 3*d - 4, -w = -4*d + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/9837 - -370531\/39348. Calculate the common denominator of 113\/66 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = 2*k + a, 10 = 2*a. Suppose 5*d = k*l - 16, 5*l - 5*d + 11 = 4*l. Calculate the lowest common multiple of 6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56017213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from cccccccoccccccccccc.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s - 28. Let u(r) = r. Let o(z) = -a(z) - 5*u(z). Does 6 divide o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37138.6 to the nearest 100.\nAnswer: 37100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n - 30*n + 61*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 11*y**2 - 9. Determine l(-10).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 1 - 5*p**2 - 5*p**2.\nAnswer: -15*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017209107 to four decimal places.\nAnswer: -0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (-2 + 0 - 3). Let y be ((-21848)\/(-672) - -1) + f\/(-4). Let u = y + -100\/3. Is -1 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5011 <= -5011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/14)\/(2 - (-34)\/(-14)). Let f = 9\/10 + -12\/5. Sort 4\/15, p, f, -2\/13 in decreasing order.\nAnswer: p, 4\/15, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -34\/21*n**3 + 16\/7*n**2 + 3\/7*n**4 - 10\/7*n + 31. Factor r(g).\nAnswer: 2*(g - 1)**2*(6*g - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.064 to 1 decimal place.\nAnswer: -25.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 400*f - 3929. Calculate the remainder when 1510 is divided by a(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58329388.78 rounded to the nearest 1000000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/16 + x**3\/2 - x**2\/2 - 6*x - 224. Factor y(q).\nAnswer: (q - 2)*(q + 2)*(q + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*v**2 - 7604*k*v - 9578*k + 3 wrt v?\nAnswer: 4*k*v - 7604*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45416 or -45406?\nAnswer: -45416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 + -4. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 15 in descending order.\nAnswer: 15, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = 76. Let s = 107 - 70. Calculate the remainder when s is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91598 + 42159*d**2 - 42144*d**2 + 91598.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u)**(-3))**(2\/37) assuming u is positive.\nAnswer: u**(-6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**3 - 43*u**2 + 9*u - 22. Let f be k(-11). Let v(i) be the second derivative of 1\/18*i**3 - 1\/36*i**4 + i + 0*i**2 + f. Factor v(g).\nAnswer: -g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2572*53376.\nAnswer: -137283072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10529 from -532.\nAnswer: -11061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3\/(-3) - (-83 + 78)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69, 96, 123, 150?\n\"Answer: 27*w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 46*l + 39*l - 3*l**3 - 2 + 3 to the form c*l**3 + t*l + v + j*l**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 94\/9, -2\/921, -0.3, -3?\nAnswer: -2\/921","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62118 by -3451.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 4*s**2 - 7*s**2 + 2*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/2 + 55*i**2\/2 - 375*i = 0. What is i?\nAnswer: 0, 25, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:39 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/((i\/(i**12\/i))\/i))\/i)\/(i**(-1\/28)\/i)*(i*i**(-7))\/(i**8*i*i) assuming i is positive.\nAnswer: i**(-83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4456 times 11790?\nAnswer: 52536240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**5*s*s*s*s**(-1\/7)*s*s)\/(s**(2\/5)\/((s*s**(-1\/15)\/s)\/s*s)))**10 assuming s is positive.\nAnswer: s**(2392\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:04 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 0.4, 3, 0.27, -1, -28\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqttjjttj. Give prob of sequence qjqj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 21*i - 35 = 0. Suppose 0 = -18*z + i*z + 39. Solve -11 - 4 = -z*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/26953 - -53897\/80859. Factor o*b**2 + 40\/9 - 38\/9*b.\nAnswer: 2*(b - 5)*(3*b - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1925cde - -3?\nAnswer: -1925cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-27)*(36\/4)\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -374 or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 131*c + 8. Let w(t) = 322*t + 22. Let g(u) = 8*d(u) - 3*w(u). Let f(a) = 2*a. Determine f(g(q)).\nAnswer: 164*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*d - 10, 2660*z = 2653*z + 35 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (8 + -17) - 7 - (-2 - -6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:59 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237497*g*y - 169898*g with respect to y.\nAnswer: -237497*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40823 less than 8?\nAnswer: 40831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 239.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 + 42*t**2 - 52*t + 22. Give o(7).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389364 + 4*r - 389364.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4500003 (base 9) to base 10.\nAnswer: -2421012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1 + (5*-1*sqrt(1539) - (-4*(sqrt(1539) + -1) + sqrt(1539) - sqrt(1539))) + -4)*1)**2*-1.\nAnswer: -1708 - 234*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 2*b - 16*b**3 + 16*b**2 - 15*b**2 + 2*b + 27*b**3 - 12*b**3 in the form p*b**3 + z + j*b + d*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39725 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166730127?\nAnswer: 3, 11, 10662391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 4*m - 43 = -17, 2*l + 26 = 2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 10. Determine c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -65. Let s = -504\/23 - -22. Which is the closest to 18\/7? (a) w (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 - 1. Let p be r(0). Let d = 4 - p. What is the third derivative of -4*f**2 - d*f**4 + 6*f**2 + 3*f**4 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + c**2 - 2*c - 3. Let u be g(-2). Let j = u - -14. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -157a - -956?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 1542826411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -20*z**2 - 4*z - 2. Let y(t) = 7*t**2 + 2*t + 1. Let k(i) = -6*g(i) - 17*y(i). Give k(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v - 4*w = 8, 4*v - 5*w - 31 = 0. Let j(p) = p - 2. Let s be j(v). What is the third derivative of -h**6 + h**s + h**2 - 3*h**2 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 3444250421?\nAnswer: -3444250423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 548 = 4*f - 776, -3*j = 4*f + 820. Let s = j - -447. What is the remainder when s is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317773370*t**2 + 1317773370*t**2 + 4*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9265 times 0.8?\nAnswer: 7412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022220111 (base 3) in base 16?\nAnswer: -14ce9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2492, -3, 2\/7, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23575487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -948497710 rounded to the nearest one million?\nAnswer: -948000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + w + 2, 0 = -5*z + 4*w + 7 + 1. Suppose z = -11*b + 13 - 2. Let q = 9 + -5. Solve p + b = q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/21)\/((-39)\/78)*(-21)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65001465 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44495 + 10688\nAnswer: -33807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 + 22*m**2 - 244*m - 13376\/3.\nAnswer: 2*(m - 16)*(m + 11)*(m + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2242.684217 rounded to zero dps?\nAnswer: -2243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((7424\/(-112))\/8)\/((-8)\/28)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 12 = -33*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tic when three letters picked without replacement from {m: 2, t: 2, i: 1, c: 3, y: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-144))\/((-10)\/132)*(-50)\/(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.87867 centuries in months?\nAnswer: 34654.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4 = 2*j - 4*q, -j - 8 = -4*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.274079445 rounded to 5 dps?\nAnswer: -0.27408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347 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: Is 23791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 - (-5 - -5) - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 2*q**2 - 10*q + 4. Calculate a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*f - 18 = 360*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*o = -302*o + 666. Suppose -8*q = -3*q + v - 1116, q - v - o = 0. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(325))**2 + 5*(sqrt(325)*2)**2 - ((1 + (sqrt(325) + sqrt(325) + 0 - sqrt(325)))**2 + (3 + 1*sqrt(325))**2)) + -1.\nAnswer: -40*sqrt(13) + 7139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-847)\/(-22)*100\/2100?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58036 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*v = -52, 2*a = -2*v + 43 - 3. Calculate the lowest common multiple of a and 19.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4 + 4378*n**3 - 4778569*n**2 - 28789728*n - 43243776 = 0.\nAnswer: -3, 2192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) 24 (b) -1\/918 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e10 - 194?\nAnswer: -1fa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9530656 rounded to 1 dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 547279801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310070 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.2, -6\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 26 = 4*k - 2*k, 3*k - 45 = 3*n. Solve k*h = 12*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 630 + 182. Let s = o - -203. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2919 and 48?\nAnswer: 46704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Suppose -4*x = -z - 7. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lss when three letters picked without replacement from {l: 3, s: 17}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*i**2 + 635*i - 62*i**2 - 635*i to j + h*i**2 + l*i and give h.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r + 78*r - 6 = 12. Which is the nearest to -3? (a) 1\/2 (b) -29\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 3*v + 2. Let m(s) = 3*s**2 - 2*s + 2. Let y(b) = 3*m(b) - 4*n(b). Let a be (6 + 273\/(-49))*7. Is 23 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 2, y: 4}. What is prob of sequence fy?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -21. Let n = 0.3 + -0.3. Which is the third smallest value? (a) -1 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = 2*r - 15, -5*t - 20 = 0. Suppose r = -5*l + 55. Let d(x) = 4*x + 13. What is the tens digit of d(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3\/17, 1\/2, 2\/5 in ascending order.\nAnswer: 3\/17, 1\/4, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 13, -0.1, -52, 18, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -3248, 51, -4 in descending order.\nAnswer: 51, -4, -20, -3248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -453377\/33 + 13737. Let u = 18\/11 - i. Sort -0.5, 4, u in ascending order.\nAnswer: -0.5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405, -873, -1339, -1803, -2265?\nAnswer: -2725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 9:51 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 - 2180*v**3 + v - 5580*v**3)*(-2 + 4 - 3) as f*v**2 + i*v**3 + d + t*v and give i.\nAnswer: 7761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/3*m**2 + 4\/3*m + 8\/3*m**3 + 0 + 2\/3*m**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -3*z**5\/10 + z**3\/6 + z**2\/2 + z. Let s = 32 - 30. Let u(r) = -r**3 + 3*r**2 - 3*r + 1. Let n be u(s). Give h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-136)\/1564 + 73\/46. Is t not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -9 - 3 - -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -s + 23, 2*s + 2*l + 2 = s. Solve -p = 3*p - s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342639352 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15821, -3, 0, -5, 43, 1 in increasing order.\nAnswer: -15821, -5, -4, -3, 0, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5984206 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2931882362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)\/(x\/(x**3*x*x)))**17)**46 assuming x is positive.\nAnswer: x**(26588\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4 + -1)\/((-3)\/152). Suppose u = 53 + d. Let o = u + 253. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1874*i**3 + 9*i + 2 - i - i**2 - 1875*i**3 as s*i + d + q*i**2 + u*i**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5\/2 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 66.95238nm?\nAnswer: 0.00000000006695238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16417409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-264)\/15 - 0)*-5. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7333.51 from -167.9457.\nAnswer: -7501.4557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 5 + 28 - b - 9 - 8 - 12*b**3 to the form c*b + r + h*b**2 + k*b**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9237061 is divided by 106?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -684019*r + 1 - r**2 - 17*r**5 + 689563*r - 1 + 25*r**4 wrt r.\nAnswer: -340*r**3 + 300*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -4. Let c(j) be the first derivative of -9*j**2\/2 + 3*j - 1. Is 16 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*p + 32624747 - 32624177 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2110 + -31?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4864.6246 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*y - 122, 155 = 4*y - 4*u - 21. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 2*k**3 - k + 103. Let t(h) = 14*h**2. Determine o(t(g)).\nAnswer: 168*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 195 + -21. Let n = a - 179. What is the nearest to -1\/5 in n, 3, -62?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -128*m**3 + 1. Let o be f(-1). Suppose 111 - o = -9*z. What is the highest common divisor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 103. Let f be g(21). Let s(w) = -1109*w**2 + w + 3*w + 1075*w**f - 4*w. Let b(v) = v. Give s(b(p)).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 19*z**6\/360 + z**4\/8 + z**3\/3 + 5*z**2. Let f(k) be the first derivative of i(k). Is f(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44650, -89396, -134142, -178888, -223634?\n\"Answer: -44746*a + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3951.1 and 12325.\nAnswer: 48697307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507307 and 139157?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1009.6 - 315.4. Put 4, 0.4, n in ascending order.\nAnswer: n, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211574 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdldlgddgd. What is prob of picking 1 g and 2 d?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-3 - (-2)\/2). Suppose 5*v + 57 = -d, 0*d = -v - 5*d + 3. Let g = m + v. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-3 - -2) + 2). Solve v - 5*b + f = 0, -2*b = 2*v - 5*b + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21274, -25955, -30636, -35317?\n\"Answer: -4681*o - 16593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*x = -19*x + 29293 + 28353 for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 1 + 10. What are the prime factors of (y\/(-2))\/((-12)\/136)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and 0.109.\nAnswer: -5.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 78\/21 + (-8)\/(-28). Is (-116)\/(m\/((-4)\/2)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 7*w - 4. Let g(o) = -10*o - 15. Let h be g(-2). Let v be b(h). Suppose -4*x + 730 = 2*q, v*x = x + 4*q + 932. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*3294.\nAnswer: -658.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 782884803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.63 + 0.73. What is the closest to 0.1 in -3, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*z = 16, -6*f - 29*z + 26*z = -24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*u**2 + 5 - 11*u**2 + 14*u**2 + (-u + 2*u - 2*u)*(1 + 2*u - 1) + 2*u**2 - u**2 - 3*u**2 + 2*u**2 + 2 - 2.\nAnswer: -29*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 874*k + 8. Give a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 25.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048930484 divided by -7?\nAnswer: 149847212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -1.05 (c) -0.03 (d) -0.06 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.737 centuries in millennia?\nAnswer: 68.5737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 10863285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-15)*11 - -2*(-2)\/(-12). Which is the closest to x? (a) -2 (b) 25.6 (c) -1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8438994 millilitres in litres?\nAnswer: 0.0008438994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13464 - 40391\/3. What is the fourth biggest value in -2\/11, x, -3, -6\/11, -0.12?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188442465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - l**3 - 8*l - 4*l**2 - 4 + 2*l**3. Let h(y) = -y**3 + 5*y**2 + 5*y + 5. Give 5*d(m) + 4*h(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -158.97211 times 0.7\nAnswer: -111.280477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/5 + 280882*a**2 + 8426514*a\/5 + 12639798\/5 = 0.\nAnswer: -3, 702211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 18870a?\nAnswer: -188708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.775 + 0.225. What is the third biggest value in b, 5, -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4475 - 23447 = 5*v, -4*d = -5*v - 111808. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-17)\/34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/14 and 65\/158.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 171215871 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -729 + 733. What is the smallest common multiple of 62 and v?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 41 = 5*p, 498 = 2*l - 48*p + 58 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 4230 divided by -4230?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(468) + 5 - sqrt(468))**2 - (sqrt(468) + 1)*-4) + sqrt(208) + sqrt(208) + -2 + 2 + -5.\nAnswer: 15 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.3, -0.1, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/420 - r**6\/240 - r**5\/60 + r**2 + 4. Suppose h(y) = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826658?\nAnswer: 2, 7, 137, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2703 - 6101 - 6978 - 828 - 3180)*(-1 + 1 + 3*v).\nAnswer: -43152*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - p + 54 - 16 = 0, 2*m + 2 = -4*p. Let l(v) = -v. Let c(q) = 65*q + 73*q - 1 - 132*q. What is m*l(g) - 2*c(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 18 = 0. Suppose -4*s - f = -s. Let k be 0 + 4\/(-18)*10 + 1 + 1. Which is the smallest value? (a) -1 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/9)*p*p**3)**(-42) assuming p is positive.\nAnswer: p**(-602\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -122, -240, -358, -476, -594?\n\"Answer: -118*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 3*l - 368280012 = 23*o, -2*o - 736560004 = l. What is o rounded to the nearest 1000000?\nAnswer: -368000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24*b + 4. Let s(a) = -17*a + 3. Let z(k) = -5*j(k) + 7*s(k). Let m(u) = 4*u**2 - 6*u - 6. Give -m(n) - 6*z(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31201211 (base 6) to base 2.\nAnswer: -11011100010010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -641702 (base 14) in base 8?\nAnswer: -14722626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010111 (base 2) to base 13.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*p = -3*z + 4, -4*z = -2*p - 10. Solve -16 = -z*w - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s + 0*s - 7*s**2 + 7*s - 2. Let x be (-2808)\/2106 + ((-116)\/12 - -2). Determine k(x).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 285, 2, -126, 5, -4, -15 in decreasing order.\nAnswer: 285, 5, 2, -4, -15, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-15)*155\/(-496))\/((-46)\/(-8)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3) + -4 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 37 - 7 = 0. Suppose -j = j + 2*m - t, j - 5*m = 21. Let z(p) = -4*p**2 - 2*p**2 + 5*p**2 + 6*p + 1 + 0. Calculate z(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 11 - 65)*(n + 0*n + n)*(948*n - 948*n - 6*n**2).\nAnswer: 852*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21227 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -328a06 (base 11) in base 2?\nAnswer: -10000000000000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371772.164 rounded to the nearest ten?\nAnswer: 1371770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -3. What is the remainder when (-50 - -4)\/((-22)\/11) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -157197, -314392, -471587, -628782, -785977?\n\"Answer: -157195*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -430501*s**4 - s**2 - 7*s + 782930 wrt s.\nAnswer: -5166012*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + c**2 - c**2 + (-10 + 10 - 8*c)*(-27 + 7*c + 27).\nAnswer: -58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 3539 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 20946*u + 62805. Give q(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**3*s + k**2*s**3 + 58290*k*s - s**3 - 9745*s**2 - 14*s - 10 wrt k.\nAnswer: 3*k**2*s + 2*k*s**3 + 58290*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457 + -445. Solve -2*d = 3*d + 5*r, 0 = -5*d - r + t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 6*q + 70 = 0. Let k(n) = 6*n**3 + 3*n**2 - n. Let g(r) = 11*r**3 + 5*r**2 - 2*r. Give q*k(u) - 3*g(u).\nAnswer: -3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 7*w + 3. Let o be t(-7). Suppose 0 = -d - o + 1. Let v = d - -8. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdii. Give prob of picking 1 d and 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1b0?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.90046 kilograms to grams.\nAnswer: 95900.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 13. Does 28 divide (-3 - h)\/((-7)\/196)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*z = 1169*z + 716*z - 19*z - 74880 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001411828 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1 - 1) + 17. Let j = a - 9. Suppose 5*q = 2*q + j. Solve -v - 11 = -0*r + 2*r, -q*v + 2*r = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*k + 35*k + 12. Suppose 9*f = k - 3. Put f, -7, -1 in decreasing order.\nAnswer: f, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 16*u + 2*f = 2, 2*f + 4 = -5*u. Put -1, -5, u, 0.1 in ascending order.\nAnswer: -5, u, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160048\/27 - -5929. Let y = 3 + -27. Find the common denominator of (-61)\/y*(-4)\/(-3) and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h*h)\/(h\/(h*h*h\/h**(-1\/39)*h)))\/(h**6*h*h**(-26)\/h) assuming h is positive.\nAnswer: h**(937\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:56 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 732186218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52447885 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2722)\/(-94) - (-512)\/12032\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 82 = -3*t, 4*t - t - 123 = -3*r. Solve 7 = 12*y - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.0043\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpkkkkkkkkk. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - (4 - 5) - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 291, 335, 409, 513, 647, 811, 1005?\n\"Answer: 15*p**2 - p + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:35 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 395010 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 19 + 5. Suppose -i*b = -5*b. Is b at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -9\/2*a**2 + 0*a**3 + 7*a + 4\/15*a**6 + 0*a**4 + 0*a**5 + 0. Differentiate s(x) wrt x.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-810)\/99 - (-2)\/11)*1. Let o(f) = -7*f + 46. What is the hundreds digit of o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 12 = -60. Find the common denominator of -65\/18 and (258\/81)\/(4\/t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/20 + -4 + (-11 - 570\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*i - 10*i. Let m = 42 - i. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/30 + (-2)\/(-6). Is o >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2511*d**3*j - 2*d**3 + 106*d**2*j - 6*d*j wrt d?\nAnswer: -15066*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/36 + 3935*l**4\/72 + 655*l**3\/3 - 2*l**2 + 2032. Factor v(w).\nAnswer: 5*(w + 1)*(w + 786)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1399464 and -179\/85367304.\nAnswer: 85367304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 458 - -365. Suppose 0 = 3*d - 286 + q. Round d to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-111)\/(-66) + (-2)\/11)*60. What is the greatest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + 3*s)*(-7 - 6 - 18).\nAnswer: -124*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 6 = -28*i - 14 - 24, 0 = 3*i - 0*i + 5*d - 89 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/7, -0.4, -62, -25.4?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -777 at most as big as 54823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 2*i = -2*i - 76, -13 - 2 = -3*j - 4*i + i for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/7))**(-46)*(i**1)**(-1\/4))**(2\/9) assuming i is positive.\nAnswer: i**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/12*-2 - (6 - 283). Calculate the highest common factor of 96 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 42*y**3 - 46*y**2 - 42*y + 44.\nAnswer: 2*(y - 1)**2*(y + 1)*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.847 + 0.153. What is the closest to 0 in -0.3, 9.1, -2, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 0, 5*w - 5 = m + w. Solve 5*p - 8 = m*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 + 261*y + 2886 = 0.\nAnswer: -74, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.336021ng in micrograms?\nAnswer: 0.001336021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12676, -51112, -115306, -205258?\nAnswer: -320968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -37*r**6\/3 - 19*r**2\/2 - 36. What is the second derivative of u(p) wrt p?\nAnswer: -1480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t - 1. Let s be x(-5). What is the units digit of s\/(-2) + 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-11 - -10)\/((-1)\/(-49)). Let i be ((-36)\/(-27))\/((-20)\/l). Solve 0 = -i*m + 11*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-2*n**2 - n**2 + n**2) - 5*n + 3 + 5*n + 2*n**2 + (0 - 2 + 1)*(-5*n**2 - 2*n**2 + 2*n**2).\nAnswer: 11*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y**2 + 39*y - 261. Is 25 a factor of s(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/11*4\/(-42)*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/2689665 and 67\/1124769.\nAnswer: 61862295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2701735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + q**3 + q)*(20*q + 29*q - 3*q) - 823 + 823 + 13*q**4 as b*q**2 + u*q**4 + s*q + c*q**3 + t and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2772903 centimeters to micrometers.\nAnswer: 2772.903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010020200 (base 3) in base 4?\nAnswer: -120212232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 4. Let p = -9 + 15. Give t(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 6*b**2 + 3*b. Calculate k(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123 is divided by 1089?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3270997 by -5.\nAnswer: 3270997\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/15*-3*1. Factor -4*q**2 - 19*q + 5 - 18*q**g + 18*q**2.\nAnswer: -(q + 5)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-50)\/(-4))\/((-6)\/12). Let s = -8 - g. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 14. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/270 + t**5\/9 + 25*t**4\/18 - t**3\/3 + 13. Let c(z) be the third derivative of f(z). Determine j so that c(j) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 197523703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrw when four letters picked without replacement from {r: 3, w: 2, u: 1, d: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 19*c**2 - 21*c - 76. Let q be l(-3). Suppose 3*o - 4*v = 379, q = 2*o + v - 113. Calculate the greatest common divisor of o and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*j - 145*j + 117*j + 3 + (j + 2*j - 4*j)*(-4 + 4 - 2).\nAnswer: 56*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 5 - 5)*(-3 - 2*q + 3) - 3 + 3 + 2*q + 9*q - 4 + 4)*(3*q**2 + 3*q**3 + q - 4*q**3 + 0*q**2).\nAnswer: -7*q**4 + 21*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5920 and 45.\nAnswer: 53280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -2*w - 6, 0 = -4*v + w + 7. Suppose 6*n = 2*n + 24. Suppose 5*c - 6*g - 45 = -g, 2*g = 6. Solve n*p = v*p + c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2406 (base 13) to base 2.\nAnswer: -1001111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 1 + w**2 + 5*w + 6. Let y(d) = 2*d - 10. Let m be y(8). Let n be h(m). Sort -2, n, 5.\nAnswer: -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times 2.9?\nAnswer: -9.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3907138155.9 + 0.\nAnswer: -3907138155.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 5*k**2 + k + 5. Let w be n(-5). Suppose 2*v + 4*v = w. Suppose 6*u + v*u = 576. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j - 2980 = 264*j + 87*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9595 = 4*h - 974, 2*q + 10578 = 4*h. List the prime factors of h.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-9))\/(14\/21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 633853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*l + 76*l + 74*l + 3 + 94*l.\nAnswer: 18*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2141 + -525. Suppose 100*s - 104*s = -v. List the prime factors of s.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/((-156)\/13))\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163883 is divided by 1163860?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82312 is divided by 358?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 7*x + 8 = 0. Let a = 5 - x. Is 5\/(-5) - (-2 - a - 399) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 14, 28, 42, 56, 70?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9936687 grams?\nAnswer: 993.6687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**0\/r)\/r)**43\/(r**6*(r*r*(r*r**(-4)*r*r*r)\/r*r)\/r))\/((r**(-2\/5)*r*r)\/(r**2\/r))**(-49) assuming r is positive.\nAnswer: r**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13*(3 + 4\/(-1)). Let o = g + 38. Let f be 10\/o + (-66)\/(-10). What is the greatest common factor of 14 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-0.058.\nAnswer: -1.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -1 - 5 - 2. Let k = -1 - v. Suppose -3*r = r + 2*t - 80, 0 = -k*r - t + 76. What is the highest common factor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 17*r - 12880. Are 459 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 28. Let l be 2\/(-3) + 10\/15. Let u be f(l). Suppose -q + u = q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/3 (c) 0.16 (d) -4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 16 = 4*d, d - 4*d - 22 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) + (sqrt(42)*2)\/sqrt(6)) - ((1 + sqrt(19) + 3)**2 + -5).\nAnswer: -23*sqrt(19)\/3 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -2\/7, 16.5, -1\/4, -5\/19, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 less than 3.589698?\nAnswer: 28.589698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -6*(-4 + -2 + sqrt(72) + 1)*-2)*4*6)**2.\nAnswer: -5391360*sqrt(2) + 8405568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -197 from -340138194.\nAnswer: -340137997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6268 - -6273. Let s be (-1)\/4 - (-133)\/4. Sort s, 3, u in descending order.\nAnswer: s, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 divided by -4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 6*z + 7362 = 0. What is the common denominator of 71\/4 and z\/60 + (-4)\/20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (11 + -1 - (-69 + 78))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 12896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13341, -26686, -40027, -53364?\nAnswer: -66697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 5*k - 3*g, -5*k - 12 = g - 299. Let u = -2 + 5. Suppose -u*h = 2*p - 79, -p + 0*p + 54 = 2*h. Calculate the greatest common divisor of h and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 389.2310006807.\nAnswer: 394.2310006807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4551 (c) -3\/4 (d) 3 (e) 5 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31122 and 931?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20031 (base 4) to base 8\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a + 6282. What is b(128)?\nAnswer: 3210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, 1223, 5, -31, 4 in decreasing order.\nAnswer: 1223, 5, 4, 3, 1, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*s**2 + 701081335 - 2*s - 1073*s**2 + 2*s - 701081335.\nAnswer: -1600*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -78\nAnswer: 23\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*b = -385*b + 1161*b - 392*b + 44 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 82 (b) -2 (c) 0.31 (d) 3\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-195) - (-150)\/1612)\/(3\/(-12))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d + 12, r + 2 = -d. Let c = -2 + r. Find the common denominator of -119\/12 and (-3)\/c*148\/(-40).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*j**4 - j**3 + 209930*j**2 + 840817304.\nAnswer: 288*j**3 - 3*j**2 + 419860*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 98588763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 220? (a) -3\/2 (b) -1\/2 (c) -2 (d) -446 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 35*a + 2. Let d be c(2). Calculate the common denominator of (-2)\/4*(d + -7) and 11\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194739461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.10699978 - 0.107. What is r rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvk when three letters picked without replacement from dddkvddddkddddddd.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -963, -7103, -24031, -57141, -111827, -193483, -307503?\nAnswer: -459281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -52*z**4 + 106*z**3 - 56*z**2 + 2*z = 0.\nAnswer: 0, 1\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**6\/360 + 7*n**5\/120 - n**4\/2 + 3*n**2\/2 + 64*n. Let k(a) be the third derivative of m(a). Determine k(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*d - 12. Suppose 25 = 5*l, -d*i + 264 = -4*l + 64. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13680 minus -92?\nAnswer: -13588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 8 = -7*s. Let k be ((-300)\/7)\/(s\/(-123200)). Round k to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1046 or -1792?\nAnswer: -1792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2) + (-47 - -63).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = 2*y + 16, -3*y = 3*r. Suppose r*p - 40 = 2*v, 2*p + 2*p - 5*v - 40 = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2420) + sqrt(20) - sqrt(220)\/sqrt(44))\/((((sqrt(100) - sqrt(100)*-2) + sqrt(100) - sqrt(100))*-2)\/sqrt(10)).\nAnswer: -23*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 1. Let q be f(-3). Suppose 3*u = -5*h, -h = -2*u - 6*h - 5. Suppose -8 = -2*y - 2*n, -u*n = -y - 2*y - 20. Solve y*o + q*o = 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70085672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 at most as big as -460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39702 + -13772. Calculate the highest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.335 (b) 2\/11 (c) -36 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3.7 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 times -5?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 54*j**3 - 4*j**2 + 3*j + 2. What is the remainder when l(1) is divided by 2\/(-4)*(-37 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10003204 - -3?\nAnswer: 10003212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12510 - -10975. Is r <= -1533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c35 (base 13) to base 16.\nAnswer: -2a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2472?\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - ((-3)\/1)\/(-3) - -19. Suppose z*t - 25*t = 0. What are the prime factors of (123 - t) + (-2 - 8\/4)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**3 - 162*g**2 + 2*g + 26. Calculate x(-27).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 80*k**2 - 6*k - 6. Let y(u) = -480*u**2 + 35*u + 35. Let g(r) = 35*f(r) + 6*y(r). Let x(h) = h. Calculate x(g(m)).\nAnswer: -80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 17 - (3 - 4) - (-121 - -153)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02323 to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1)\/i*i*i)\/i)**(-14\/5)*(i\/(i*i**(-2\/5)))**(-7\/11)*(i**(2\/7))**2\/(i*i**(2\/3)*i\/(i*i**(-8))) assuming i is positive.\nAnswer: i**(-10799\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-6)*23*96\/(-368)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = 2*c, 5*b - 11 = -4*c + 6. What is the nearest to -0.1 in b, 4, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 + 16*c**4 - c - 9*c**4 + 10*c - 6*c**4 + 1 in the form b*c**2 + h*c**4 + g + v*c**3 + q*c and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/4, -1, 6\/323, 4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/90 and -49\/1965.\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(462)\/((-2*sqrt(77))\/sqrt(7)))\/(-6*(sqrt(486) - (sqrt(486) + sqrt(486)*-2))).\nAnswer: sqrt(7)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2022?\nAnswer: -4044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxbxzxrbxbbrbr. What is prob of sequence bbbz?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4517 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + 4 - 2 - (22 - 18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 243, 240, 225, 192, 135?\n\"Answer: -z**3 + 4*z + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 163\/5. What is the biggest value in -3, c, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005698 rounded to 5 dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1379*i = 1382*i - 54789, 3*i = 5*h - 68520. List the prime factors of h.\nAnswer: 3, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q + 8 + 10. Sort q, -2\/7, -3, -0.14.\nAnswer: -3, q, -2\/7, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-252)\/(-35))\/((-4)\/(-30)). Suppose -q + 66 = 4*c. Solve -4*a + 2 = -c*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 11*k. Suppose -2*h + 52 - 46 = k. Let g be -1 + 4\/6*6. What is the highest common factor of h and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43542731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2470*a. Let w(y) = -7*y**2 - 9. Determine d(w(h)).\nAnswer: -17290*h**2 - 22230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 22*q**2 - 687*q - 4880. Calculate o(-7).\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(4*o - 4*o - o - 2*o + 0*o - o + (0*o - o - o)*(0 - 1 + 2) - o + 5 - 5).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 - 133. What is the least common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, -1, -2\/13, -236?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792438 is divided by 768.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -167, -5.\nAnswer: -167, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/4329 + (-6)\/27 - (-4)\/12?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(88)\/(sqrt(4) + sqrt(12)\/sqrt(3)) - sqrt(110)\/sqrt(45))\/(sqrt(72)*1*-3))**2*4.\nAnswer: 11\/1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.11 or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c3a5c (base 14) to base 16.\nAnswer: f65c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134635603.3 rounded to the nearest ten thousand?\nAnswer: 134640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tztt when four letters picked without replacement from {a: 1, z: 3, t: 11, w: 5}?\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 590858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2534*v - 5325 = -2321*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 841568 divided by 4624.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 726, 9, -101 in descending order.\nAnswer: 726, 9, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 9*x**2 - 2*x - 8. Let d(l) = 3*l. Let j be d(-3). Let b be a(j). Calculate the greatest common divisor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99705 by 6647.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12\/5 - 34\/15*n**3 + 94\/15*n - 4\/15*n**4 + 28\/15*n**2 = 0.\nAnswer: -9, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.46321 millennia to centuries.\nAnswer: 924.6321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*h + 5567 - 1372 = -3709. What is the highest common divisor of h and 3208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144 is divided by (-15 - 486\/(-42))\/((-30)\/14 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + (10 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - x = -9892, -2043 - 2903 = -2*v - 5*x. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3531907.\nAnswer: 1412762.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8225510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4024923 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 825663149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 43 - 103 = s, -3*q + 21 = -2*s for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = -5*l - 1134, -5*l = 4*n - 1512. Suppose -3*b + n = 3*a - 243, 3*b = -a + 205. What is the remainder when a is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + 1 + 4 + 17 + (-21 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -4*3\/(-6) - -7. Let r(x) = -x + m + 7 - 15. Let a(s) = -39*s**2 - 5*s**2 + 9*s**2. Give a(r(z)).\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -1201263?\nAnswer: 1201264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5cee71 (base 15) to base 10.\nAnswer: 4454881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 2 + (-7 - 6 + 5)*(-5 + 2 + 2))*(n - 1 + 0 - 7*n) to p*n + b and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**34\/(h\/h**(-22)))\/(h**(-4\/5)\/h**(2\/13)) assuming h is positive.\nAnswer: h**(777\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 569436, -3, 24 in decreasing order.\nAnswer: 569436, 24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67485707 + -46935712. Let r be p\/(-15) - 1\/3. What is r rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -98, 0 in increasing order.\nAnswer: -98, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1795302151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 16 = -2*g, 0 = 3*g - 0*c + 3*c - 24. Suppose -g*p + 1087 = 47. 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 2494752507 to the power of 1\/2, to the nearest integer?\nAnswer: 49947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/36)\/(-7))\/((-58)\/(-174))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29266 - 29106. What is the remainder when 1279 is divided by u?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + -0.15. Let f = v - 0.12. Which is greater: -0.01 or f?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.012328 and 20.6.\nAnswer: -0.2539568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {u: 3, j: 3, e: 1, m: 2, w: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*w + 573*w - 141*w + 598*w - 123*w.\nAnswer: 1200*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let n(m) be the second derivative of -m**7\/2520 + m**5\/20 - 19*m**4\/12 - 42*m. Let l(p) be the third derivative of n(p). Determine l(b(h)).\nAnswer: -h**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00197878803 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3049736 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let f(u) = -u**3 - 6*u**2 - 6*u + 7. Let i = 120 - 124. Let o be f(i). Is k smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7*r = -16. Let v be (16\/(-12) + r)*18. Let q be 4\/6 + v\/36. Solve -h - 5 = -q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:20 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.911 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1 + 9*g**2 + 1. Let x(n) = -19*n + 2*n + 0*n + 19*n. Calculate u(x(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 22.09678198?\nAnswer: -17.09678198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78139\/60802 - -5\/8686. Find a such that 0 - h*a**3 + 9\/7*a - 24\/7*a**2 = 0.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110021)\/(-95226) + (-10)\/(-885)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 162. Let i be m\/72 - (-2)\/9. Put i, 3, 1\/7 in descending order.\nAnswer: 3, i, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067564635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8\/19 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 - 85*f + 6. Give d(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98784621 and 2952?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7346*u**2 + 2*u - 17493 wrt u?\nAnswer: 14692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/10 of a second?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*a = 697*a - 16 - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14, 5 in descending order.\nAnswer: 5, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7*m + 3*d, 0 = -4*m + d. Suppose m = -3*n - z + 60 + 79, 4*n - 2*z - 172 = 0. Is 45 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716522801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssmm when four letters picked without replacement from {q: 3, s: 11, m: 4}?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19152 and 16758?\nAnswer: 134064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/600 and -43\/72.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11629151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2609732, -5219501, -7829270, -10439039, -13048808, -15658577?\n\"Answer: -2609769*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103307 = 96*u - 30325. What is the greatest common divisor of u and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 271*d**2 + 2*d. Suppose 5*c + 16 = -4*a, -5*a - c + 3 - 2 = 0. Let y be w(a). Let r = 413 - y. What is the greatest common factor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16\/3 (b) 4 (c) 0.03 (d) -0.05 (e) 3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -0.5 (b) 3\/7 (c) 4\/3 (d) -0.29985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**5\/10 + q**3\/3 + 3*q - 1. Let n(r) be the first derivative of i(r). What is the second derivative of n(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*x + 6 = 22, 8 = -v - 4*x. Suppose -s + v*s = 44. Suppose -u - s*u = 5. Which is the third biggest value? (a) -0.06 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0*j + 0*j + (-1 + j + 1)*(-2*j + 6*j - 2*j) + 6320*j - 225*j**2 - 6320*j.\nAnswer: -225*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 1 u when three letters picked without replacement from {e: 4, u: 1, p: 10, s: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, f: 3}. What is prob of picking 2 r?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10080 and 700?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1205428, -1205562, -1205696, -1205830, -1205964, -1206098?\n\"Answer: -134*j - 1205294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/9))**22*q**2\/q*q\/(q\/(q*q**8)))\/((q**(-1\/3))**(-9))**16 assuming q is positive.\nAnswer: q**(-298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/12*4*-39. Let a = l + -16. Suppose 5*g - a = 0, -2*t + 353 = -g + 65. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 51. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912) - -6*2*sqrt(912))\/(-6*sqrt(6)\/sqrt(2)*-2).\nAnswer: 13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*a - 22*a = -1274 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 2*z - 2110 + 2069, 5*b + 118 = -4*z - 45 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6936472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56173819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206 divided by 1.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139\/4 + -1315\/36. Let d = -3306 - -13153\/4. Calculate the common denominator of n and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2*6\/216.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 354 - 204. Let f be ((-24)\/h)\/((-6)\/(-15)). Which is the smallest value? (a) -5 (b) 4 (c) f (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2071 = 1233*l + 838 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5397*y**2 - 78*y + 34. Is g(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 24. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8152303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*n + 26 = 16, -3*z - 7 = -5*n. Let f(r) = r**2 - r. Let s be f(0). Is z*-149*(s - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 x, and 1 n when four letters picked without replacement from mexmikkn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8517 = -3*d, 5*f + 2731 - 16899 = -4*d. What are the prime factors of f?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18932.5885 take away 82587?\nAnswer: -63654.4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63786103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4) - (385\/(-22) - 1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36519, 38886, 41253?\n\"Answer: 2367*t + 34152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*1\/(-20) - (-6)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*k**2 - 99*k**2 - 144*k**2 - 74*k**2 + 674*k**2 to v + w*k**2 + g*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 42*f**5\/5 + 695*f**3\/6 - 245*f + 2. Find the second derivative of q(u) wrt u.\nAnswer: 1008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 16. Let q be h(-15). Let z = -237.8 - -260. Let y = 22 - z. What is the third smallest value in 0.5, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + -1. Let o = j - -2.2. Which is the third smallest value? (a) o (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -876581 less than -876582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.72 rounded to zero dps?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from {s: 2, l: 2, m: 4, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 110*z**3 + z**2 + z + 1. Suppose h - 4*h = 3. Is v(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2070)\/(-138)*8\/(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2. Let z(s) = -2*s + 50. Let g(q) = q**2 - 5*q + 100. Let j(w) = 2*g(w) - 5*z(w). Determine i(j(l)).\nAnswer: -4*l**4 + 200*l**2 - 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/40 - -3\/8. Let u be 3\/15 + 256\/(-80). Let s be (-37)\/(-21) + (u - 20\/(-12)). Which is the closest to -0.1? (a) 2\/7 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - a?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3579 - 1263 = 72*k + 630 for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 517 - 516.8. Let z = -3.8 + -1.2. Sort x, z, 0.03 in descending order.\nAnswer: x, 0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19\/((-456)\/16))\/((-2)\/12). Let q(y) = -13*y**3 + 9*y**2 - 9*y - 9. Let j(f) = -6*f**3 + 4*f**2 - 4*f - 4. What is b*q(v) - 9*j(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 14*a = 0. Suppose -2*d + 378 = -a*d. Calculate the highest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 4*n - 40. Give f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 33477488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*x - 24, 3*x - x + 5*t = 0. Suppose -36 = -4*v - x*g, v + 6*g = g + 24. Suppose -5*p - 21 = m, -v*p + 3 = 4*m + 7. Is -5 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 7. Let c(b) = -1. Let l(o) = -6*c(o) + t(o). What are the prime factors of l(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1 + 8 + 2 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1539?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + j + 1 = 0, 3*p - j = p - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7652091930 to the power of 1\/2, to the nearest integer?\nAnswer: 87476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 57. Let s = y - 69. Let j be (3\/18)\/(2\/6). Which is the closest to -1? (a) -0.5 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 2 + (-98)\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3119 - -5749. Differentiate -1 + s*g**4 - 2623*g**4 + 30 wrt g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*3 + (sqrt(228) - (sqrt(228) + 2*-3*sqrt(228)) - sqrt(228)))\/(-5*(sqrt(144) + 2*sqrt(144))\/sqrt(12)*-1).\nAnswer: 14*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -2*sqrt(343))**2*-5 + 2)*5.\nAnswer: -8565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaee. Give prob of picking 1 e and 1 a.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*g + 2282*g = 1147*g + 4*s - 57, 0 = -3*g + 2*s + 43 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*f**2*j**4 - 365*f**2 - 31*f*j**2 wrt j?\nAnswer: -20*f**2*j**3 - 62*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 2*y + y)*(2*y - 4 + 4)*(-2*y - 4*y - 2*y).\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*312*(-8)\/(-576).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -521c (base 16) in base 14?\nAnswer: -7936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31197421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -36 - ((1 + -2 - -8) + (67 - 73))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93436 and 3976.\nAnswer: 186872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 12*c - 5 = -o, 9 = 3*c - 3*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73516688549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4\/7 - 31361845*c**3\/7 + 81963876129407*c**2\/7 - 519103144506791*c\/7 - 54642451669682 = 0?\nAnswer: -2\/3, 7, 5226971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89795 or -89791?\nAnswer: -89791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, x: 9, i: 3, r: 2, h: 2, o: 1}. What is prob of sequence nnhi?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-29)\/(x\/((x**(1\/6)*x)\/x)*x*x*x*x**(-2)) assuming x is positive.\nAnswer: x**(163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 2*x)*(109 - 370 + 85)*(4*x + 0*x - 6*x).\nAnswer: -704*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 6*q - 36 = 0 for q.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgpepcppp. Give prob of picking 1 p and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 18. Let n be (-6)\/4*s\/15. Factor -1\/5*l**2 - n*l + 0.\nAnswer: -l*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*p = -118*p - x, 0 = 3*p - 4*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5226*z**3 + 1464195*z**2 + 2 - 1457561*z**2 + z + 0*z wrt z?\nAnswer: 31356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let u(m) = -1552*m. What is u(v(b))?\nAnswer: -1552*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 5, x: 1, u: 7, a: 3}. What is prob of sequence uu?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -3*b + 14*b - 23. What is the closest to -1 in -17\/76, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221000221110 + 2110?\nAnswer: -1221000212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 - (-2 + 4) - 138\/(-24) and 81\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 17*a - 18. Let g(o) = -6*o + 8. Let v(x) = -11*g(x) - 4*m(x). What is v(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-163 - 74275*g**2 + 31 + 114 + 16 - 2*g)*(-2*g + 3 - 3) to p*g + t*g**2 + z*g**3 + l and give z.\nAnswer: 148550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 - 124*b**4 - 798*b**3 - 1224*b**2.\nAnswer: 2*b**2*(b - 68)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + b. Let p(t) be the first derivative of t**3\/3 + t**2\/2 + t - 196. Calculate -2*p(c) + v(c).\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/5)*u*u*u**(-5)*u)**36 assuming u is positive.\nAnswer: u**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - p = 114 + 103, 0 = -a + 2*p - 70. Let k = -17 - a. List the prime factors of k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20*u - 35*u + 79 - 23*u - 80. Let a be t(1). Let o = a + 146. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3\/3 - n**2 + n - 2. Let c(d) = -d. Let w(i) = b(i) - 2*c(i). What is the units digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15025, 30052, 45079, 60106, 75133, 90160?\nAnswer: 105187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3698.94 * 0.3\nAnswer: 1109.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-24) - 2\/8. Let c(r) = r**2 + 6*r - 1. Let v be 34\/(-6) - 2\/6. Let l be c(v). Is l at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(7 + -61) + (-10)\/(-9). Let q = 1309\/5 + -15719\/60. Calculate the common denominator of b\/4 - ((-580)\/(-176) - -1) and q.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95436280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1329128ml?\nAnswer: 0.0001329128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -3*d**5\/10 + d**3\/6 - 2*d + 27. What is x(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -0.02 (c) 2\/11 (d) 0.1 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -571428 divided by -44\nAnswer: 12987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 169*o**2\/4 - 205*o\/2 - 33\/4.\nAnswer: -(o + 3)*(o + 11)*(12*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 6*d + 13*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -470 + 484. Suppose 6*o - 1112 = -260. What is the smallest common multiple of o and p?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-2))\/(4\/(-2)). Let q be (4\/(-5))\/(6\/45). Let t = q + 16. Solve -x - 7 = -j + x, z = 4*j + x - t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 220121?\nAnswer: -220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szssszszzzzzmsssszsz. Give prob of picking 4 z.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9ea2 (base 16) to base 7\nAnswer: 226253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(sqrt(1008) + 3)**2.\nAnswer: 360*sqrt(7) + 5088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2520 + -2510. Calculate the smallest common multiple of 134 and j.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t + 60*t - 809 = 0. What are the prime factors of t?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 2290?\nAnswer: 228d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9344\/7 - 1334. What is the biggest value in o, -2\/9, -7\/22?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/18708857 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33a88 + 1?\nAnswer: -33a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1, 1\/6, -17629, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4\/7 + 130*b**3\/7 + 1446*b**2\/7 - 21682*b\/7 + 54760\/7 = 0?\nAnswer: -37, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 2*j**2 - 2*j - 2. Let g(s) = -3*s - 10*s**3 + 0 - 2 + 2*s**2 + 8*s**3. Let l = 140 - 138. Give l*g(c) - 3*r(c).\nAnswer: -c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (3 - 0 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**3 - o**2\/2 + o + 2. Let x(a) be the first derivative of d(a). Calculate x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 73*b**3 + 3*b - 1. Let g be s(-2). Let r = g + 905. Let i = 733 - r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 46392?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -5 - 240\/(-3). Let v = o - 55. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (1 - -3))*3. Let s = 8 + q. Suppose t = i - 3, -s*i = 3*i + 2*t - 22. Solve i*o = -2*r, -4*r + 9 = 2*o - 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94985 and 2178.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18042, -18476, -18910, -19344?\n\"Answer: -434*i - 17608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30625934?\nAnswer: 2, 41, 373487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/4 + f**3\/3 + f**2 + 2*f - 5. Calculate n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49)\/(-35)*5 - 104\/14. Which is the closest to r? (a) 3 (b) -4\/7 (c) -2\/3 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -503022 and -5.04?\nAnswer: 2535230.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, -1\/6, -0.5, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12907 - 7319. List the prime factors of c.\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2586)\/70 - (-317)\/((-2307760)\/416)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 0.2, -5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9804 + -499976\/51. Let t = 959\/204 + n. Suppose -9\/2*v**5 + 0 + 3*v**3 - 21\/4*v**2 + 3\/2*v + t*v**4 = 0. What is v?\nAnswer: -1, 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3564.1 - 3564. Which is the smallest value? (a) 16 (b) h (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512422513?\nAnswer: 7, 31, 6969689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 34 = -17. Suppose 96 = -4*y + 164. Calculate the highest common factor of y and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o. Let t(f) be the first derivative of f**2\/2 - 44*f - 51. Give t(d(p)).\nAnswer: 3*p - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) -14\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, d: 3, m: 3}. What is prob of sequence ddnn?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*i**3 - 1055 + 1055 + 84*i**3 - 228*i**3 + 89*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 5*s. Let j be x(-4). Let h(u) = -u**2 - 5*u + 1. Let r be h(j). Suppose -r*z + 41 = -4*i + 177, -4*i + 136 = 4*z. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-714)\/(-56)*(-2)\/(-3). Which is bigger: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/13, 0.15, 16, -2 in decreasing order.\nAnswer: 16, 5, 0.15, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002112 - 1201021?\nAnswer: -11210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5544336, -11088671, -16633006, -22177341?\n\"Answer: -5544335*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + -1 + (-13)\/(117\/(-84)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -866 - -1918. What are the prime factors of r?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1)*-2 - -58. Let p be (0 + n)*(-19203)\/(-9). Suppose -3*a + 5*r + p = a, -a = -4*r - 32016. What is a rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 6*r + 6. Let x be t(-7). Suppose -6*f + 2*f - 12 = -a, -5*f = -3*a + 15. Let m = x - a. Which is smaller: m or 4\/23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7240*f - 617. Is j(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100001 (base 2) in base 11?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4541780 and 93\/6358492?\nAnswer: 31792460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 25*t - 1235520 = -83*t. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k**3 + 449*k**3 + 43*k**2 - 43*k**2.\nAnswer: 425*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 3. Let h(n) = n - 4. Let f be h(4). Suppose -6 = 2*y - 0, f = 5*m + 3*y - 6. Suppose -m = -2*k + 3. What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 2, u: 1, n: 8, y: 1}. What is prob of sequence cn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4967124 divided by -1655708.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*x + 409557 = 0, -1023910 = -a - 4*a - 5*x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2. Let g(f) be the third derivative of f**7\/1260 - f**5\/20 + 3*f**2. Let n(t) be the third derivative of g(t). Determine p(n(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -14. Suppose -m*p - 30 + 10 = 2*n, -18 = 4*p + n. Let x(y) = -y**2 - y. Let t be x(1). Do p and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13*-1 + (8615 - 34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -693, -1\/5, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 4, d: 1, t: 2}. Give prob of sequence et.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1312*h**3*x**3 + 198*h**3*x**2 + 255*h**3*x - 6*h**3 + 1526*h**2*x**3 + 1 wrt x.\nAnswer: -7872*h**3 + 9156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 - 127*j - 682. Give x(-5).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6920093.86 and -1.074.\nAnswer: 6920092.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 67*f**3 - 101*f**3 + 33*f**3.\nAnswer: -f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:05 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 4*k**3\/3 - k**2 - 2*k - 13. Let s be i(-1). What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/243, 2, -8?\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744 = 17*d - 1319*x + 1317*x, d + 5*x = 54 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 393 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 1. Let d be 5\/(4\/j*-4). Solve -u - 12 = -d*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 2 + (-70)\/(-14). Suppose 3 - 6 = x, -5*x = -3*u + 15. Solve u = j*v - 11 + 31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-10) + 3)\/(6\/20). Suppose -2*q - 8 = j*u, -3*u - 11 - 8 = -5*q. Suppose 0 = -c - 2*c + 6. Is q != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3879783, -3879765, -3879747, -3879729, -3879711?\n\"Answer: 18*z - 3879801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqqxqxqxxqqxqqqqqx. What is prob of sequence xq?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 28 = 152. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5 + 12697569*h**3 + 3*h + 2047535 wrt h.\nAnswer: -20*h**3 + 76185414*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -1453?\nAnswer: 46496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 - 2. Let t be c(2). Suppose 0*l - t*m - 4 = 2*l, 6 = -2*l - 3*m. Let g = 5 + l. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 575, 940, 1387, 1880, 2383, 2860, 3275?\nAnswer: 3592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 82. Suppose 0 = -9*l + w*l + 348. Suppose 18 + l = 7*t. Is 16 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 79*h**2 - 8 + 2*h - h + 3*h - 2*h. Let x be n(3). Let u = x + -504. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 5. Let r be v\/(-4) + 26\/8. Factor 17*f**4 + 1 - 2*f**5 + 22*f**2 + 0*f**5 - 8*f - 28*f**r - 2*f**5.\nAnswer: -(f - 1)**4*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141 - -147) + (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1061 (base 14) to base 7\nAnswer: 11151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/13)\/(l\/l**7))\/(l**(-3\/7)\/l)**(-2\/13) assuming l is positive.\nAnswer: l**(519\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010000101110 + 1011011111?\nAnswer: -10001000101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11210133 (base 4) to base 2.\nAnswer: -101100100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 12) to base 5\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-78))\/(3 - 2258\/754)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqkdqqqddkdqqqqqqq. Give prob of picking 1 d and 1 q.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -977419.\nAnswer: 48870.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19975 and 608039?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -943*u**7\/42 - 293*u**3\/6 - 3*u - 190. Find the second derivative of s(j) wrt j.\nAnswer: -18860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52854347 and 2163?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/84 and -7\/20028?\nAnswer: 140196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 103. Let v be z(0). Let s = 56 - v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-12))\/((-38)\/114). Which is the fourth smallest value? (a) 3 (b) 0.4 (c) v (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 12*q + 13. Determine b(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4608 = 308*h - 714 + 4114 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2105*n - 379516. What is b(-167)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/(6\/(-60)). Let h(l) = l + 1. Let q be h(-4). What is the remainder when (-565)\/p + (-1)\/q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 14902 and 14899 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 1. Let r be m(1). Let z be (2 - 2)\/(-1 - -2). Let v be z\/2 - r - 5. Sort 1, -1\/7, v in decreasing order.\nAnswer: 1, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(1353\/264*-2)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/90*21?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9894 and -0.2.\nAnswer: -9894.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.53 - -0.17. Let k = -0.3 - r. Let f = 85.1 + -85. Is k > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115125700.8 to the nearest one million.\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*2)\/(sqrt(10) - -1*sqrt(40)).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -816b (base 12) in base 7?\nAnswer: -55652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9032 - 180691\/20. What is the common denominator of g and 173\/150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**4 - 9*t**3 + 13*t**2 + 2*t - 61 wrt t?\nAnswer: 288*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60557, 121024, 181475, 241904, 302305, 362672?\nAnswer: 422999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6762183275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 9. Let h = 13 + -8. What is the remainder when h is divided by x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 71*m + 1 - 4 - 70*m + 3. Let g(b) = -169*b**2. What is p(g(h))?\nAnswer: -169*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -1\/6, -3\/8, -2, -88?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13100815*b**5 + 6*b**2 - 26137*b + 3?\nAnswer: 786048900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcccccccpcscdc. What is prob of sequence sd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -832303 or -832298?\nAnswer: -832298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(-3)\/(-12)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) + -2*sqrt(168) + sqrt(168))\/sqrt(12))\/(1*sqrt(35)\/sqrt(5) + sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h + 2. Let l(j) = -6*j - 2. Let t(i) = 4*l(i) + 5*v(i). What is the least common multiple of t(0) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 5)*(9 + 2*d - 5*d + 2*d)*(1 - 5 + 1) in the form t*d + o and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1\/5, 4, -7\/9, 78 in increasing order.\nAnswer: -7\/9, -1\/5, 0, 3, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/3 + 127028*p**2\/3 - 2016632960*p\/3 - 4034790400 = 0. Calculate p.\nAnswer: -6, 31760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -133*d**2 + 77*d + 77. Let x(n) be the first derivative of -7*n**3\/3 + 2*n**2 + 4*n - 42. What is -4*m(z) + 77*x(z)?\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 39858.47 to the nearest 100.\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185563\/85450 - 54\/1709. Calculate the common denominator of 38\/145 and w.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*o, 0 = -3508*b + 3512*b + 3*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, l: 8}. What is prob of sequence uu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/2016*-14*(-49)\/((-3087)\/3864).\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*s**5 - 4*s**3 - 5585*s**2 - 101010318*s + 2 wrt s?\nAnswer: 880*s**3 - 24*s - 11170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76690 and 47280.\nAnswer: 362590320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 3*d + 12)*((-1 + 1 - d)*(1 - 4 + 5) - 4*d + 4*d - d - 4 + d + 4)*(2 + 4 - 5)*(30 + 20 + 17).\nAnswer: 402*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 11*n - 97. Let p be a(6). Suppose i + 15 = -2*i + 4*j, 0 = -i - p*j + 14. Put -2\/15, -3, i, -6 in decreasing order.\nAnswer: -2\/15, i, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(114)\/sqrt(6) - sqrt(19)) + sqrt(684) + -1)**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-36)*(-16)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677427101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m + 1. Let b(y) = y + 2. Calculate -b(g) + 2*c(g).\nAnswer: 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 49. Does 9 divide h(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) -1 (c) -50 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -6, -4, 1\/4 in decreasing order.\nAnswer: 0.4, 1\/4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2\/2 - 5*y - 1. Let k be b(-10). Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4859, -4838, -4795, -4736, -4667, -4594, -4523, -4460?\nAnswer: -4411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-237)\/(-21) - 4\/14. Suppose 67 - o = -4*s. Let t = -8 - s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/10)\/(8\/32*56\/(-35)).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4 - 0)*376\/12. Let h be (o\/(-2))\/(2\/4). Suppose -5*c + 2*w = -549, c + 5*w = h + 79. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - -4) + (-13 + -3 - -13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 3574010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1117 (base 9) to base 6.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.62916 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**4 - 20284*a**3 + 3*a**2 + 5825*a + 5.\nAnswer: 48*a**2 - 121704*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6*x + 4. Let d = 0.9 - 0.6. Let p(z) = z**2 - 6*z - 13. Let l be p(8). What is the closest to 2 in x, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 4. Let v be (15\/9)\/((-2)\/(-6)). Let j be b(v). Is (-15)\/((-60)\/j + 3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**6 - 3212*b**4 + 14*b**2 + 6*b - 30 wrt b?\nAnswer: -240*b**3 - 77088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -652 and -1789.\nAnswer: 1166428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51766 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0599? (a) -2 (b) -0.03 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*w + 3 = 0, -2*w + 1 = -4*z + w. Let o(b) be the third derivative of -b**5\/30 + b**4\/24 - 2*b**2. Give o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2560493 to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23829 and 1014.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 78 - 84 - (-8 - (0 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 285?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.0000245 + 3. What is v rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:41 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 3*c + 20*t, 2*c + 59*t - 12 = 61*t + 24 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 847.8, 4, -0.2 in increasing order.\nAnswer: -0.2, 4, 847.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -15. Let z(m) be the first derivative of 7*m**2\/2 + 10*m + 55. Calculate the remainder when z(0) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.6 - -19. What is j rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 355*o**2 - 5570*o - 30. Let y(j) = 89*j**2 - 1393*j - 8. Let v(x) = 15*y(x) - 4*z(x). What is the second derivative of v(f) wrt f?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -0.7.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*u - 780 = -1012*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*u - 3*u - 68, -u - 5*v = 68. Let y = 71 + u. Let o(t) = -5*t**3 - 1 + y*t**3 + 27*t**3. Determine o(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 6*t**2 + 3*t - 7. Let c be (-5)\/(-2*1 - -1). Let o be s(c). Suppose 3*v = -12 + o. 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(a) = -2*a**3 - 2*a**2 + 3*a + 2. Let u be l(-2). Let c be ((-22)\/4)\/(1\/(-2)). Suppose u*q - 113 = c. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 10\/4)*-30. Suppose 20 = -4*j + 2*s, s + f = -3*j - 4*s. Which is bigger: -31\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g + 5*g. Suppose -c + 4*c = -3*i + 102, 0 = -3*i + 9. Calculate the remainder when (c - 0) + 6\/g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92808 - 92807. Let r(s) = 38*s. Let k be r(2). Let b = 382\/5 - k. Is b > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6*x - 1563*m**5*x**2 - 2*m**2*x + 72692*m*x**2 + 2*x**2 wrt m.\nAnswer: -240*m**3*x - 93780*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8153.569 hours in microseconds?\nAnswer: 29352848400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134.801 + -0.199. Let q = y + 135. Let l be (1 + 0)\/((-2)\/(-10)). Sort l, 4, q.\nAnswer: q, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d6 - -3?\nAnswer: -9d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 683*r + 1250. Determine z(169).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4231 - -31?\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-7)\/((-70)\/(-138))*-5. Let f be d\/168 - 12\/(-96). What is the closest to -49\/3 in f, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*26164\/(-1266)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 4*n + 923 = 0. Which is smaller: 70 or n?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*t = -2, -4 + 6 = 4*x - 2*t. Are x and -1\/8836 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1065*f + 4786. What is the tens digit of u(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5156, 5196, 5274, 5396, 5568, 5796?\n\"Answer: h**3 + 13*h**2 - 6*h + 5148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 737*n**2 + 207 wrt n?\nAnswer: 1474*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -2, -52 in increasing order.\nAnswer: -52, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -23758, 65?\nAnswer: -23758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 + 5 - (0 + 0). Let i be (2\/j)\/(-4 + 328\/80). Solve 4*l = -i*d + 36, 5*l + 1 = 5*d + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 - c + 7. Let d(a) = 11*a**2 + 2*a - 15. Let p be 3\/(-5) - 363\/(-55). Let g(t) = p*d(t) + 13*h(t). Let s(l) = l**2 + 2. Give -2*g(z) + s(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -3*sqrt(448))**2 + (((sqrt(448) + 0)*4 + sqrt(448))*3)**2.\nAnswer: -144*sqrt(7) + 112899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3749, 852, 3 in ascending order.\nAnswer: -3749, -3, 3, 852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-72)*30\/70)\/(2\/(-24))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 + -561?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1396, 2795, 4194, 5593?\n\"Answer: 1399*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*i**4 - 16*i - 2*i**2 + i**2 - 5 + 3*i**2 - 1 in the form l + x*i**4 + m*i**2 + k*i + p*i**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64 - -64)*(-12)\/(-192). Let n(q) = 2*q**2 - 6*q - 7. Suppose -3*l = -g - 10, 5*l = -3*g - 0*g + 40. Let d be n(l). Solve k = 3*b + d - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 12*f = -254. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 47. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8610 and 3?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/881 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/2866 + 154785\/20062. Let z = -27 - -36. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 5*q**2 + 4*q + 1. Give c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**2 - 884*d - 3600 = 0.\nAnswer: -4, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 97957\nAnswer: -4\/97957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-12)\/15)\/(38\/(-190))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30195108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 25*q**2. Let d(p) = -821221*p. Determine b(d(f)).\nAnswer: 16860098271025*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 158\/3. What is o in 0 + k*o**2 - 2*o**3 + 2\/3*o**4 + 0*o = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-4)*(-16)\/392?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 1. Let d(o) = -324*o**2 + o + 3. Let q(s) = d(s) - 3*h(s). Let j be q(1). Round j to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/19 - 12580*z\/19 - 851838\/19.\nAnswer: 2*(z - 6357)*(z + 67)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12579 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37620 divided by -60?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10668 + -44?\nAnswer: 10624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7 - i**3 + 5*i - 1643*i**2 + 1638*i**2 - 2 + 2. Calculate o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(1\/2)))**(-6\/19)\/(z**5\/z**(1\/2))*(z\/z**(-1\/2)*z*z**5)**(-5\/13) assuming z is positive.\nAnswer: z**(-1863\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -125403522 (base 6) in base 8?\nAnswer: -11434012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 0*l = -3*l + 67, 7*v = -23*l + 26*l - 2259 + 2212 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 337*p**2 - 2*p + 1564 with respect to p.\nAnswer: 674*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9366934.779 rounded to the nearest one thousand?\nAnswer: 9367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -29*b**8\/336 + 5*b**4\/4 + 2*b**2 + 31. Let v(i) be the second derivative of g(i). Find the second derivative of v(u) wrt u.\nAnswer: -580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-183)\/(-30) - ((-55)\/(-50))\/11. Let a(w) = w**3 - 6*w**2 - w - 7. Give a(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0288 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10*j - 39 = 11*j, -3*r + 21 = 5*j. Suppose 3*f - 1 - 44 = 0. Calculate the least common multiple of r and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/1638893 and 53\/781.\nAnswer: 18027823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*12 + 73\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 5*p**8\/56 + 23*p**7\/42 - p**5\/5 - p**4\/12 - 13*p**3\/6 + p**2 + 4300*p. Find the third derivative of b(n) wrt n.\nAnswer: 600*n**3 + 1380*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:50 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1325345 by -265069.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drlssbdsbsbsrbrs. What is prob of picking 1 d and 2 s?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10\/30 - (-142)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*g + 67 = -0*g, b + 15 = g. Let f = -8 - b. Solve 0*p - f = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5407431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025531923 rounded to 5 dps?\nAnswer: -0.02553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 2*y**2 - 2*y - 1. Let c be q(-1). Suppose 2*j = -g - g + 6, c = -j - 2*g + 1. Sort j, -4, 3.\nAnswer: -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 367 - 1118. Let w = 85 - 64. Calculate the remainder when y is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 + 3 = 2*u, -3*u + 21 = -3*o. Let m(l) = -3*l + 3*l - u*l + 5*l. Let k(i) = i. Calculate m(k(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6 - 543*b - 14 + 549*b. Let k(r) = -2*r + 3. Give 14*k(o) + 5*z(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -55\/6 (c) 92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 823 times -4?\nAnswer: -3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 147760363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 3. Let y be w(8). Suppose -z = -2*v - y, 5*z + 1 - 14 = -4*v. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -98. Let v be (-22)\/(-18) - 10\/y. Solve 0 = -r - 4*b + 4, 5*r - b = -0 - v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i**(-12))**(-39)*(i**(-7)*(i*i*(i*i*i**(-1\/6))\/i*i)\/i)\/((i**(-3)*i)\/((i*i*i**(4\/7)*i*i)\/i)) assuming i is positive.\nAnswer: i**(-22873\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-12))\/(-5) + 93\/62\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t + 116 + 42*t + 51*t.\nAnswer: 2*t + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*468\/(-195).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -h - 2*t, -2*h + 0*h + 22 = t. Suppose -z - 6 = 5*p + z, -2*p + 4*z + h = 0. Solve -3*b - 2*i + 5 - 12 = p, 4*i + 5 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 50 = -24*h + 28*h, 15136*h + 2*a = 15133*h + 41 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/38854224 and 65\/421184?\nAnswer: 155416896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (976\/25376)\/(6\/(-52)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1000045 times -0.18\nAnswer: 0.01800081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 8*a - 6. Let k be (-12)\/8*2*a\/(-12). Factor -k + 1\/4*d - 1\/4*d**3 + 1\/4*d**2.\nAnswer: -(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173133 (base 11) to base 5\nAnswer: 32031223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 276.2 + -276. What is the closest to -1\/19 in p, 2, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6 = 4. Let y = t - -4. Let n be y - (-1 + 5) - -7. Solve -2*m - p = -10, n*m - 5*p = -p + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2. Let y(w) = 5*w**2 + 2. Let l be 15\/(-2)*192\/240. What is l*t(m) + y(m)?\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-200) + (-4)\/16)*-1*10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 4*o - 4*g + 83, -4*g = 3*o + 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(5\/6)*a)\/a)\/a*a**(2\/13)*a\/a**(-1\/8)*a\/a**(2\/17))\/(a*a**(-2)*a**8)**(-7\/6) assuming a is positive.\nAnswer: a**(17965\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1076*q*x**5 + q*x**3 + 5*q*x - 13*q + 2*x - 3 wrt x.\nAnswer: 21520*q*x**3 + 6*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Let b be (2\/(-1))\/2*t. Let w(j) = 9*j**2 + 2*j + 1. Determine w(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 3460*d + 4518800.\nAnswer: -4*(d - 715)*(d + 1580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, l: 8}. Give prob of sequence vvlv.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24810, -99222, -223242, -396870?\nAnswer: -620106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -61*a - 238. What is j(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14224 divided by -3556.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -5*x**6\/6 - 4*x**5 + 75*x**4\/4 + 70*x**3\/3 - 70*x**2 - 120*x + 1282. Determine v so that t(v) = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.496345 milligrams in kilograms?\nAnswer: 0.000000496345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -4\/3, -3993?\nAnswer: -3993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336125491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 + v + 1. Let h(w) = -18*w**2 + 3*w + 11. Let c(s) = -5*b(s) + h(s). Calculate c(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a factor of 4630134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -214*h - 2780. Let x be s(-13). Solve 0 = -3*k - 9, -x*w + 6 = -k - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 * -3949\nAnswer: 102.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -23 - (-10 + 3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 - 3*p**3\/2 - 95*p**2\/2 + 13*p - 2. Is m(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16 = 5*a - q, 0 = -3*a - 4*q + 27. Solve -2*v + a*v + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-68)\/10 - (-34)\/(-170). Let r be d - -1 - 622280282\/(-47). Round r to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101 + -3627?\nAnswer: -3730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 698 and 42.93187?\nAnswer: 655.06813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*n - 11 = 0, 7*g + 4*n = 4*g + 8. Suppose 4*y = 2*z - 180, g*y = 2*z - 6*z + 300. Calculate the least common multiple of z and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386631647 minus 20?\nAnswer: 386631627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(180) - (sqrt(180) + -1*sqrt(180))) + sqrt(180))\/sqrt(9) - sqrt(20))\/((sqrt(120)\/sqrt(6))\/sqrt(5))*-5)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - 3*(-1*sqrt(384) - sqrt(384)))\/(sqrt(8) - 3*sqrt(8)*-1) + -5)*5.\nAnswer: -25 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b4 (base 12) in base 10?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffggggffff. What is prob of picking 3 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/80 + (-117)\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5639*w**3 - 3920.\nAnswer: 16917*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72055548*m - 127211311?\nAnswer: 72055548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Let v = -2 + 5. Let c = -2 + 1.6. Put v, d, c in descending order.\nAnswer: v, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 3\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-42)\/12)*255\/34.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 60*i**2 - 189*i + 10. Let z be w(-63). Let b(v) = 5*v - 52. Determine b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -183?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, q: 3, d: 4}. Give prob of sequence qdd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 26*l - 3 + 3 - 5.\nAnswer: -26*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6))**(1\/13) assuming p is positive.\nAnswer: p**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + 0 + sqrt(5) + sqrt(5) + sqrt(5)) - (sqrt(405) + 0))*-4 + 0.\nAnswer: 68*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -12. Let g = 5 + o. Find the common denominator of 69\/16 and 31 - g\/6*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 8*i**2 - 25*i**2)*(3 - 14 + 2).\nAnswer: 198*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*(-1 + sqrt(245) + sqrt(245)) - sqrt(245)))**2.\nAnswer: -378*sqrt(5) + 19854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 269483803 from 0.118.\nAnswer: -269483802.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x + 16*r - 14*r - 4, 439 = 230*x + 3*r - 0*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from daudwwwddwwjrdj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8206007 - 866007. What is x rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110010011010000?\nAnswer: 110010011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/12*7\/(980\/32)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23613 - 23524. What is the remainder when 6318 is divided by i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -103. Suppose 7*d - c = 9*d. Let b(n) = -2*n - 9. Give b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13\/8, -76404, 2\/5, 4, 2 in ascending order.\nAnswer: -76404, 2\/5, 1, 13\/8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2709600 and 19800.\nAnswer: 89416800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p**2 - 24646*p + 37970244. Let w(m) = -150*m**2 + 221813*m - 341732196. Let o(i) = 19*l(i) + 2*w(i). Factor o(v).\nAnswer: 4*(v - 3081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62019376 by -4.\nAnswer: 15504844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025167293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 281 - 1399 = 0. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a**3 - 2484 - a + 184*a**3 + 2485 as v*a**2 + d*a + k + p*a**3 and give p.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.37 - -1374.63. Let n = v + -1394.00001538. What is n rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 3*r - 13 = 13*k, -2*r = -4*k - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36, -22, 14, 84, 200, 374, 618?\n\"Answer: 2*p**3 - p**2 + 3*p - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 43182057\nAnswer: -4\/43182057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v**3 - v. Let n be g(1). Let t = 9 + n. Suppose 0 = 2*w - 2*k - 12, 3*w - 4*w + t = 3*k. What is the remainder when w is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 9*n + 2200. Suppose 0 = -244*f + 243*f + n. What is the greatest common factor of 88 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 10 + (-6*26)\/(-6)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(288) + 4))**2 - (sqrt(392)*3)\/sqrt(4).\nAnswer: 2379*sqrt(2) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**2. Let a(v) = -4*v + 3*v + 2*v. Let c be (-7)\/(-21)*2*6\/(-4). Let k(p) = -2*p. Let b(f) = c*a(f) - k(f). What is b(d(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 45*a + 426693 = -900939. Is 56 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(567) - ((-1 + sqrt(567))**2 + -3))*6.\nAnswer: -20340 + 972*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h. Let y(t) = t. Let a(s) = -q(s) - 6*y(s). Let c(n) be the third derivative of n**4\/12 + n**2. Give c(a(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1366*f + 49179. Determine s(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34506877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - -54. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + ((sqrt(200) - (-4*sqrt(200) + sqrt(200) + -3 - sqrt(200)))**2 + sqrt(200) - (2*(sqrt(200) + 1) + sqrt(200))**2).\nAnswer: 190*sqrt(2) + 3208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5246, -5240, -5232, -5222?\nAnswer: -5210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.2 (b) 11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 1\/5, 6, -30, -13, 25, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3560 and 47392144.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26610 is divided by 155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-12) + 11 + -13 - 3. Which is the nearest to f? (a) 2 (b) 8 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4419 divided by 3.\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(14\/(-35) + (-2)\/(-30)). Let s be (-3)\/18 + 2\/12. Solve -k = y - 3*y - 2, -j*y - 3*k - 18 = s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8688.26 kilometers?\nAnswer: 8688260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 622 - 622. Factor 0 + g*a + 2\/5*a**2 - 2\/5*a**3.\nAnswer: -2*a**2*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1590*a**2 - 2*a - 2 - 2406*a**2 + 5887*a**2 as r*a + j*a**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*r + 3*m, 5*r - 65*m = -62*m - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7)*(1*5 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 493.4433 decades in millennia?\nAnswer: 4.934433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -470*c**5 + 110*c + 2 wrt c.\nAnswer: -9400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15680 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 87\/6)\/(-7 + (-195)\/(-30))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 0*n + 32 + 0*n**2 + 2\/3*n**3. Let v(r) = -4*r**2 - 3*r**2 + 0*r**2 + 2*r**2. Calculate c(v(i)).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 495724 divided by -6?\nAnswer: -247862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720) + -5)**2 + (sqrt(720) + 2)*-4.\nAnswer: -120*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*q - 30, -4*x - 1071 + 1101 = 5*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117207172 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: Let t(r) = 3*r**2 + 174*r + 170. Give t(-57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 1. Let y = 1 + 3. Let p be 2\/(y*1\/2). Let h(o) = 3*o**2 + 4 + 4 - 4. Determine p*h(d) - 4*i(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 23 + y**2 + 3*y + 23 + 8*y - 14. List the prime factors of b(-13).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/13, -0.13, -1973?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*z - 286*z - 4*n - 46586 = 0, 0 = -z - 2*n + 23301. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17401 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: Suppose 10 = -4*r + 26. Let h = 0 + -4. Sort r, h, -1\/4 in increasing order.\nAnswer: h, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (368\/112)\/((3250\/1050)\/65)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -2.43.\nAnswer: 19.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let y be f(10). Suppose y*b - 33 = -b. Differentiate w**3 + 3*w**3 + 3*w**b - 39 + 2*w**3 with respect to w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by -65.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i - 2*i**3 + i**3 + 5*i**3 - 5*i**3 + (5*i**2 - 3*i**2 + 2*i**2)*(-4*i + 4*i - 2*i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741961 and 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/3*12\/(-5). Calculate the highest common divisor of o and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 3*n**2\/2 + 8*n - 65. Let g be (88\/(-6))\/(2\/(-3)). Suppose -2*m + 0*m - 4 = 0, 4*u = m - g. Calculate r(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 5, e: 1, x: 3, v: 6, h: 2}. What is prob of sequence vu?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((117\/9)\/117)\/(8\/72*-1*3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 121411730225?\nAnswer: -121411730225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582762 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/11)\/(v\/((v\/(v*v*v**(-3)))\/v))*v**10\/(v*v**(-8)) assuming v is positive.\nAnswer: v**(186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8*i + 3*w = 64, 0 = -2*w - 8. Let u = i - -25. What is the remainder when 8 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/120 or -2\/165?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824479 is divided by 494.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30749 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 307 = 2*g + 234, 4*g = -c + 107. Let u = -6 - -10. Suppose u*d + 67 = 247. Calculate the highest common divisor of g and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t, a + 4*t - 286 - 59 = 0. Let g = a - 36. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3718 is divided by 142.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 77. Suppose 26 = u*r + r - 2*j, j = -2*r + 29. Suppose l - 6*l = -240. What is the highest common factor of l and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8235*a*q**4 + 2*a*q - 88267*a wrt q.\nAnswer: -32940*a*q**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 477.52 + -477.9. Let p = 18213.37332 - 18213. Let k = y + p. Round k to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19375 divided by 5?\nAnswer: 3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 49*g**2 - 54*g**2 + 2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -14*x - 34. Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 20*a + 8. Does 39 divide g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1026364.1 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -13, 16, 47?\n\"Answer: q**2 + 24*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n + 40. Let f be (-1 - 1) + (-35)\/n. What is the second biggest value in -0.2, 5, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 195\/13 + (-1)\/1. What is the highest common divisor of j and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 - -1 - (24 - (22 - -33) - -23) - -9\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 37*v - 42*v - 9, -4*v - 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b. Let c(m) = 43*m**2 + 9. Give h(c(a)).\nAnswer: 129*a**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/7 + 483720*v\/7 + 1451178\/7 = 0. Calculate v.\nAnswer: -3, 241863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h*i**4 + 19509*h*i**3 + 2*h*i**2 + 8*h*i + 53*i**2 wrt i.\nAnswer: 48*h*i + 117054*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538421 - 538421 - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 11, -6, 4, 1.\nAnswer: -6, -3, 1, 4, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169728179\/132534 - -255846\/199. Let s = -47\/9 + x. Calculate the common denominator of s and 500\/264 - 4\/6.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-30))\/(4\/102). Suppose -3*p + 4*y = -26, -5*y - 18 = -5*p + t. Suppose p*w - 120 = -3*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/2*1\/((520\/(-20))\/52)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:13 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14454, 14434, 14428, 14442, 14482, 14554, 14664?\nAnswer: 14818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(500) - (-1*sqrt(500) + sqrt(500))) + (-1*sqrt(5) + -5)**2 + sqrt(45) + sqrt(5) + -5.\nAnswer: -6*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, f: 1, d: 2, b: 7, v: 3}. Give prob of picking 1 f, 1 v, and 1 s.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11630916 divided by -646162\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 479?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 6:15 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 214*l**2 - l + 5. Let a be y(1). Suppose -5*d + a = -4417. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*r + 2*r**2 + 39*r + 29*r)*(-2 + 4 + 0).\nAnswer: 4*r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(36)\/sqrt(2))\/(-6*sqrt(24)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g\/g**(-3\/7))))*g)\/(g*g**(-3\/2)))**(-4)*(g*g**(-6)*g*g\/((g**(-1\/3)\/g)\/g))**(6\/13) assuming g is positive.\nAnswer: g**(-418\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 198, -0.1, 7, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -385, 0 in decreasing order.\nAnswer: 0, -2, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:28 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136691 - 136691 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 14 = -7. Let l be t\/(-27)*-2 + (-20)\/(-9). Solve l*j - 19 = 4*j + 5*h, -h = -2*j + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l + 4*l + 9*l + 0*l - l + 0*l + (6*l - 4*l + 0*l)*(-5 + 0 + 4) - 2 - 3 + 3 + l.\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**3 + 6*x**2 + 6*x + 18. Let c(a) = -3*a + 1 + 381*a**2 + 2*a - a**3 - 190*a**2 - 192*a**2. Give -6*c(k) - h(k).\nAnswer: -2*k**3 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -56912.\nAnswer: -1\/56912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**3 + 2*n**3 - 14*n**2 + 7*n**3 wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-72))\/((1*-2)\/(22\/66))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 972 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 5 (c) 20\/1877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -22, 121, 442, 1001?\n\"Answer: 10*k**3 - k**2 - 42*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -8, 547?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 379559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/19)\/(6\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + c**2 + c - 1. Let p(w) = 6*w**3 - 19*w**2 - 10*w + 9. Let s(g) = -4*m(g) - p(g). What is s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 738*r + 11821. Give z(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34 + 0)*(9 - 8). Suppose -g*n + 6*n = -3052. Calculate the remainder when n is divided by 56\/6*(-3)\/(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 5. Determine k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 466, 30, 5, -5.\nAnswer: -5, -2, 5, 30, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.856214us?\nAnswer: 6856.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3220*n + 1050 = 3290*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + (-21)\/(-12). Suppose -y*u + 8 = g, 5 = g + u - 1. Sort -5, 2, g in decreasing order.\nAnswer: g, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7166034 is divided by 212?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4 + 355*p - 180*p - 4 - 165*p. Calculate w(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 11:49 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let c = 5 - 3. Let j be 0 - (-1)\/1*c. Let t(q) = -3*q**2. Let r = 6 + -1. Give j*t(n) + r*m(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373968150 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 8*x**3 + (-3*x + 3 - 2*x + 2*x)*(0*x + x + 0*x + (1 + 0 - 3)*(-2 + 2*x + 2) + 2*x - 4*x + x)*(-6*x + 3*x + x).\nAnswer: -32*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.32 or 136\/479?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/4 - 122*d**3 - 10209*d**2\/2 + 2690640*d - 10741653\/4 = 0.\nAnswer: -303, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vockvvxokxvq. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 - 9*b - 2. Let t(u) = u**2 - 2 + 1 + 2. Let z(w) = j(w) + 4*t(w). Does 14 divide z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 868 + 572. Suppose -5 = 5*d, 0 = -5*i + 3*d + v - 127. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**4 - 7*s**3 - 11*s**2 - 5*s. Let n(x) = x**4. Let g(m) = d(m) + 2*n(m). Suppose g(w) = 0. What is w?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24121155 divided by -19\nAnswer: -24121155\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/2 - 0. Which is the closest to 0.2? (a) 0 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-28 - (19 - 37)) - -14?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3307174 is divided by 2650.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 398*k + 856. What are the prime factors of d(15)?\nAnswer: 2, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*m = -26 - 104, 0 = -3*p + 5*m + 80. What is the highest common divisor of 100 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1957\/63 + 403\/14. Calculate the common denominator of p and -17\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -67*z - 70*z + 136*z. Let o(i) = -9*i. What is k(o(c))?\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 506 and 209?\nAnswer: 9614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 5.7. Let f = 11 + n. Let y = 10.7 + -11.7. Sort 3\/7, f, y.\nAnswer: y, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = 2. Suppose -6 = -h*m - 0. Suppose -2*f = 2*j - 20, -m*j + 0*f = 5*f - 34. Solve j*y - 5 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51393*f - 510 = -51359*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(1*-2))\/(8\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 10*c**2 + 5*c - 55. What is s(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (267\/(-178))\/(1 + (-6)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*y - 2 + 4*y - 19*y with respect to y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 12, u: 7}. What is prob of picking 3 k?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.38, -4\/9, -5.3, -2\/9, -0.01?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 10) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1008) + -5 + sqrt(1008) + -2 + -4)*4)**2*-6.\nAnswer: -398687 + 50688*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51282784 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let p(u) = -u**2 + 2*u**z - 2*u**2 + 2*u + 2*u**2. Let x be p(-2). Solve -6 = -2*g - x*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/900)\/1*(-48)\/42?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 433031*g**4 + 9 - 432819*g**4 + 7 + 3*g**2 + g - 163*g wrt g.\nAnswer: 2544*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 74\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 128184?\nAnswer: 1\/654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7 = 2*v, -10*v + 2*c = -9*v + 4. Calculate the least common multiple of v and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18934?\nAnswer: 2, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -3\/7, 0.02, -39?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 43 - 7 + 14*a - 24 - 2*a. Let c be n(-1). Solve 4*m - h = -7, c*h - 4*h = -m - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 21\/5)\/(2\/(-1420)). Let h = y - 2102. What is h rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040329 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**2 - 5*i - 3. Suppose 338*y - 336*y = 6. Let a(b) = 15*b**2 + 9*b + 5. Determine y*a(c) + 5*u(c).\nAnswer: 5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 6*w + 7. Let t be g(5). Suppose 5*a = a + t. Solve -5*v = 4*f + a, -v - 20 = 3*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*(2 + -1). Let v = 136 - 107.5. Let l = v - 29. What is the closest to m in -4, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 463786 or 463780?\nAnswer: 463780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*i + 668 = -49 - 393 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 0, 3*q + 4*f + 150 = 9*f. Let j = q - -134. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v**2 - 4*v + 2. Let a = -5 - -3. Let x(r) = -3*r**3 + 2*r**2 - 9*r + 5. What is a*x(l) + 5*p(l)?\nAnswer: l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 435*p - 254*p + 5)*(-7 + 1 + 2).\nAnswer: 2756*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.8 - -13.5. Let o = 65.7 + a. What is o rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15584 and 1280?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -4.1 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - 4*o, 2 = 5*o - 3. Suppose 5*p + 7 = -w, 5*p = g*w + 1 + 2. Put 4, p, 2 in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 4692920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 59*p**2 - 6*p - p**2 + 38*p**2 - 26*p**2.\nAnswer: -p**3 + 70*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1094847 and 7542.\nAnswer: 6569082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.57 and 3.2.\nAnswer: -1.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:17 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1 (c) -5\/7 (d) 0.01 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/105125499 and 2\/128486721?\nAnswer: 1156380489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 16, 0 in increasing order.\nAnswer: 0, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/10)\/(45\/(-12)). Let k = 1 + 4. Sort k, t, -2 in descending order.\nAnswer: k, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333453044.\nAnswer: 2, 1193, 69877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4)\/(g**(-2)\/g))**(-4)*(((g\/(g\/(g\/g**(-2))))\/g)\/g**5)\/((g\/(g\/(g*g*g**(3\/8)*g))*g*g*g)\/(g\/g**6)) assuming g is positive.\nAnswer: g**(-371\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 4059731463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8250 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.152 and 23132.\nAnswer: 49780.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {h: 1, g: 2, e: 2, a: 1, j: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqypquuyqquuyqy. What is prob of sequence ypy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -3*u - 2*w, -5*w - 6 = 3*u. Let p(t) = -3*t**2 + 4*t**3 - 4*t**3 - t**u + 11*t**2 + 10*t. Let i be p(9). Do i and 9 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*z**3 + 1350*z**2 - 16315304*z wrt z.\nAnswer: 1116*z + 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5203 = -3*n, n - 1731 = -4*q + 3*q. Is n 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 11:07 AM and 11:01 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -246 - 93112.69305\nAnswer: -93358.69305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 - 16a?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 5*z + 12. Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**2\/y)\/y*y**(-2))\/((y\/(y*y\/y**(-2\/19)*y)*y)\/(y**(-2)\/y)))**(-7))**(-47) assuming y is positive.\nAnswer: y**(-24346\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -2271276?\nAnswer: 1589893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**3 + 2088*h**2 + 94596*h + 92512 = 0.\nAnswer: -472, -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbh when four letters picked without replacement from {b: 2, x: 2, i: 1, t: 3, h: 3, m: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {h: 1, s: 1, f: 11, b: 1, p: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7529683 and 188366.\nAnswer: 4957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70407, 280485, 630621, 1120821, 1751091?\nAnswer: 2521437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 3*a = -11*s + 140, -s - a = -35. Let z = s - 31. Solve -f - 5 = 3*f + d, 2*d + z = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-8))\/(66\/352) + -13 + 8. What is the closest to 1 in b, -0.02, 0.01, -2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 15420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + k - 12. Let g be l(-4). Let c = 37 - g. What is the remainder when 9 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 258121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*o - 72 = 4*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*z + 2 + 1 = 0, 3*z = 4*d - 9. Solve -5*a - 11 + d = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 50*l**3 - 5*l**2 - 22*l + 3. Let p(u) = -17*u**3 + 2*u**2 + 8*u - 1. What is 4*b(i) + 11*p(i)?\nAnswer: 13*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192117 by 749.\nAnswer: 192117\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4537 is divided by 274.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -11729802.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5079 - 1?\nAnswer: -507a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/464574 and 31\/1056.\nAnswer: 7433184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.8 (c) -371\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 1\/3*o**3 + o + 17*o**2 + 1\/12*o**4 + 0. Give k(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b + 1. Let u be (-3 - (-92 - b)) + 2. Suppose -u = -3*y + 25. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q**3 - 10*q**3 + 2*q**5 - 2*q**5 - 8*q**5 + q**5 - 2*q**5 - 5*q**2 + 5*q**2 + (-5*q**3 - 3*q**3 + 4*q**3)*(-q**2 - q**2 + 4*q**2).\nAnswer: -17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 765, -15 in increasing order.\nAnswer: -15, -12, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 + (-26)\/(-42). Suppose 5 + 0 = 5*w. Sort w, -3, g.\nAnswer: -3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 1. Let r be x(1). Let v = -409620.9 + 409621. Let w = -7 - -6.4. What is the smallest value in 4, v, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 2 - 6 - 8. Factor -2\/9*f**h + 4\/9*f + 16\/9.\nAnswer: -2*(f - 4)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(14 - ((-10843)\/(-665) + (-38)\/361)).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*t = 1397 - 767 + 2426 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/21 + 90746*l**4\/21 - 30250*l**3\/7 - 90746*l**2\/21 + 12964*l\/3 = 0. Calculate l.\nAnswer: -45374, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**2 - 6*l + 11. Let b(s) = 155*s**2 + 85*s - 155. Suppose -55*v = 74*v - 12*v - 9945. Give v*f(g) + 6*b(g).\nAnswer: -5*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4444*y - 28842 = 182028 + 15755 + 53347 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let n(c) be the third derivative of 0 - 27*c**2 + 0*c**3 + 7\/24*c**4 + 0*c. Let y(m) = 22*a(m) - 6*n(m). Let p(v) = 2*v + 14. Determine p(y(o)).\nAnswer: 4*o + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -121283.3 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.03.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 10549481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Suppose -t + 5*t - 546 = h*a, -2*t - 3*a + 284 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Let l be b\/(0\/2 - -3). Is 0 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b39 (base 15) in base 7?\nAnswer: -23133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378671 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -95, 389, 1075, 1969, 3077?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1702*o + 7942*o + 493*o to z + m*o and give m.\nAnswer: 10137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2 + 192*o + 5 - 226*o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 395757421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2289 and 0.5.\nAnswer: 1144.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26364 divided by 676\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1)\/(-3)*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 501276909 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 times -40.24?\nAnswer: 10100.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21353 - 29947 = -4*n. List the prime factors of n.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3950696 + -2233696. What is l rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 5*q + q - 3*q + 4*q + (2*q - 4*q + 4*q)*(-3 + 2 - 1) - 2*q + 3*q + 0*q - 2 - q + 2 + (4 - 6 + 3)*(3*q + 4*q - 5*q) + (0 + 0 + 2*q)*(-4 + 0 + 5).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 7*m = 64. Solve -3*r = -2 - m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(12\/1899) - (-1)\/4. Let p = s + 337. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -26*q + 553. Calculate f(23).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 2, s: 1, w: 4, y: 1}. Give prob of picking 2 h and 1 p.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**3 - 2*l**2 - 7*l. Let d(p) = -9*p**3 - 3*p**2 - 12*p - 1. Determine 3*d(v) - 5*h(v).\nAnswer: -2*v**3 + v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 49 = -3*l - 2*n, 3*l - 3*n = 30. Let q be 90\/(-24)*(-3)\/l. Let t = -4189\/9 + 465. Which is the nearest to 0.3? (a) q (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671 - 708. Let l be (23 + 1)*(-4)\/3. Let d = l - r. Solve -20 = -d*z, -5*h + 2*h + 4*z = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 539806, 539799, 539788, 539773, 539754, 539731, 539704?\n\"Answer: -2*o**2 - o + 539809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19131017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h - 813. Calculate the remainder when 123 is divided by v(50).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-4\/13)*n**(-3)\/n*n*(n**(3\/8)*n)\/n**(-11) assuming n is positive.\nAnswer: n**(1111\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*f**4 + 159986*f*z**2 - 94*z**2 - 8164 wrt f.\nAnswer: -36*f**3 + 159986*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/63*((-198)\/(-57) - 3). Is i < 18\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Suppose 2*w + 2*r = 7*r + 4, u*w + 5*r - 38 = 0. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7323?\nAnswer: 3, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3553379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 653*l + 654*l - 1, -35*s + 38*s = 4*l - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2. Let t(k) = -2*k + 2*k + 0*k**2 - k**2. Calculate t(r(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 11:29 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + 9 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 58 + 110 = 0. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 657, 472, 165, -264, -815, -1488?\n\"Answer: -61*r**2 - 2*r + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 12. Let m be x\/(-2) + (-2 - -5). Let z = 457.03 - 457. Which is the biggest value? (a) 4\/7 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 12) to base 2\nAnswer: 10100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 1751 - 7204 = 0. Let k = x + 1393. What are the prime factors of k?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0*f)**(-2\/49)\/(f**(1\/2)\/f)**(24\/5) assuming f is positive.\nAnswer: f**(568\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 4*l + 1. Let j(n) = 25*n**2 + 2. Let s be j(2). Let y = s + -98. Let a(v) = -4*v**2 + 9*v + 2. What is y*a(o) - 9*i(o)?\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1508300 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4874*i - 14530. Determine t(3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from {q: 1, c: 10, e: 1, k: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhlhhhh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 5*d**2 - 3*d**2 + 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4988*q**2 - 64843*q + 22. What is h(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -31*t - 96 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 5*g**4 + g**3\/3 - 4*g - 38. Find the third derivative of m(t) wrt t.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0 + 3\/2*h**3 + 4*h + h**2. What is the first derivative of y(l) wrt l?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1503056976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 72072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*b**3 - 28*b**3 + 8*b**3 + 7*b**3.\nAnswer: -94*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 3*c + 4. Let x be k(3). Let l = 1 + x. Solve l*j - a = -4*a + 11, 0 = -3*a - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 = -59. What is the common denominator of 181\/10 + 2 + (-4)\/b and 89\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 4 - 369232\/(-2). Let c be r\/(-14650) - (-2)\/4. Let w = -1\/586 - c. Find the common denominator of 55\/18 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d6d4 + 4?\nAnswer: -2d6d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -3. Let w = 8 + x. Suppose 0 = -w*j - j + 15. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1632719 + -717433. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173363 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 822 divided by -6.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -1\/3, 0.03, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4238*c**3*u - c - 23*u wrt c.\nAnswer: 25428*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 - 6*d + 7. Let w(o) = 11*o**2 - 13*o + 15. Let b(l) = 9*h(l) - 4*w(l). Give b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*b - 29*b + 87*b - 299968. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 13*y + 16. Calculate t(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**6\/120 - t**5\/60 - 2*t**3\/3 - 2*t**2 - 4*t. Calculate s(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 33*g**3 + 21*g**2 + 21. Let n(p) = 5*p**2 + 38 + p**3 + 7*p**3 - 18 - 15. Determine -5*k(q) + 21*n(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.73 - 0.7168. Let n = 0 + -0.01. Let j = q + n. Round j to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5807*t = -5835*t + 4760. Calculate the remainder when 2378 is divided by t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 + 6*j + j**2)*(-3 + 2 - 1).\nAnswer: -2*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -y + 252, -3*c - 2*y = -27 - 127. What is the highest common divisor of c and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7086529 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-6)*((-1)\/(-3))\/(13\/(-117))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 4*h**3 - 4*h - 4*h**4 + 3*h**4 + 5*h**3 - 3 to the form f*h + a*h**3 + s + x*h**2 + c*h**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 264? (a) -740 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(63) + -4.\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -61. Let d be (4\/(-18))\/(-2) - t\/9. Let i = -42.147 + 0.147. Which is the biggest value? (a) d (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*-2*(((sqrt(325) + 1)*5)**2 + (sqrt(325) - (-2 + sqrt(325) + -5)))*1.\nAnswer: -16314 - 500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 16, -p - 17*c + 26 = -22*c for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -62*p + 65*p - 39, 27*p - 31 = 5*s. What is the remainder when 51 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 + 1034*t\/3 - 2065\/2.\nAnswer: -(t - 2065)*(t - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 522018.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4\/11 + 162*o**3\/11 - 2212*o**2\/11 + 10530*o\/11 - 4732\/11 = 0.\nAnswer: 1\/2, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -9. Let o(z) = 5*z + 6. Let c be o(m). Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 7*c**2 + 3*c**2 + 2*c**2)*(0*c + 0*c + c).\nAnswer: -2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/232 - -13853\/232. Let d = -60 + p. Let k = 7033 - 7033.1. What is the smallest value in d, k, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.3 + 17. Which is the biggest value? (a) 0.5 (b) t (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 4*u**2 + 6*u**2 + (4*u - 5*u + 0*u)*(u - 2*u + 4*u) - 2*u**2 - 8*u + 8*u - 4.\nAnswer: -4*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21042 = -88203. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 = 3*j - k, -j + 5*k - 6 = 0. Suppose -6 + 18 = j*h. Calculate the remainder when h is divided by (-1 - 0\/(-3))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -4, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 15*i + 40 = 0. Let n be ((-11)\/(-4))\/(10\/i). Suppose -36 = -13*h + n*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 71*g**2 - 1. Suppose 0 = -4*p + 3*p - 1. Let n be k(p). Suppose -b + 6*b - n = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:56 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 1. Let d be y(-1). Let v = -7077\/5 - -1421. Let s = -6 + v. Put d, -0.2, s in descending order.\nAnswer: d, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60061 is divided by 73?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((8 - 1) + -9 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1007 by 1.\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/7 (b) -2\/11 (c) -4 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1132 and 15565?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-340)\/(-17))\/(-100))\/(1\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((105\/(-14))\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from ivcvvviiivaniixxav.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/86, -4453 in descending order.\nAnswer: 1\/86, -4, -4453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, a: 11, n: 1}. What is prob of sequence xn?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-232) + (-4)\/32*-2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - g = 19, -3 = -0*m - m - 3*g. Let v be -2 - (2 - (3 + m)). Suppose -15 = -v*p + 40. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 (base 13) to base 16\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:05 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.16 (b) 4 (c) -2\/55 (d) 5 (e) 2\/5 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + sqrt(605)*-3*4 + -5)**2.\nAnswer: 1210*sqrt(5) + 73230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6038*m - 2891 = 3043*m + 3054*m for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 - -3.87. Let m = q - 0.1761. What is m rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/444 and 119\/16584?\nAnswer: 613608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/(-40))\/(784\/(-7840))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llququllq. Give prob of picking 1 q, 1 u, and 2 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(539))*4)**2.\nAnswer: 448*sqrt(11) + 8688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8a16 (base 11) to base 14\nAnswer: -4483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 102*s - 50*s - 50*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 - 147.11. Let l = 0.11 + m. Sort 0.4, -2\/9, l in descending order.\nAnswer: 0.4, l, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63139, -126268, -189397, -252526, -315655?\nAnswer: -378784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 2*t + 9. Let h be u(0). Suppose -2*g = -4*g - 4*y + 42, -1 = -g + 3*y. Let i = g - h. Solve 0 = -3*v - i + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2664320 or -2664425?\nAnswer: -2664425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.0239, -0.1, -27 in ascending order.\nAnswer: -27, -0.1, -0.05, 0.0239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034911759 rounded to 7 decimal places?\nAnswer: -0.0003491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a decade in months?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100189*h**2*m**2 - 3*h**2 + 2886*m**2 - 687*m wrt h?\nAnswer: 200378*h*m**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 95 = 5*j, f - 113 - 92 = 14*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence una when three letters picked without replacement from {a: 2, z: 2, u: 1, k: 1, g: 1, n: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/14586?\nAnswer: 1\/14586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -19 - (-1 + 5) - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 4*b**2 + 39*b + 10. Give g(5).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94182.\nAnswer: 2, 3, 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j + 1. Let u be k(2). Let s = 5 + u. Let y(d) = -d + 10. Is 5 a factor of y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3615666541.\nAnswer: 19, 190298239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcde when four letters picked without replacement from ceqezqcd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 8*c**2 + 2*c - 10. Let f = -10 - -18. Let w be j(f). Let a be (-3)\/(-4) - (-35)\/28. Solve w + 2 = a*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6710595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -172, -260, -348?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Suppose 0 = -m - 5*l + 29, -7*m + 10*m + 9 = l. What is the closest to m in -0.8, x, -0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4956869364?\nAnswer: 2, 3, 413072447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 117*g + 753. Give j(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m**0)\/(m**1*m**6\/m) assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/2*(-4)\/(-2) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/138 and -137\/1410744.\nAnswer: 32447112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 600. Suppose -a = -2*x + x. Suppose -2*f = -7*f + x. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 127606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 389 and -2.65.\nAnswer: -1030.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -7*u**4\/24 + 2*u**2 + 26*u. Let i = 2 - 0. Let k(p) = -2*p**i - 2 + 2. What is l(k(m))?\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -3*g**4\/4 + 39*g**2\/2 - 36*g - 99. Solve b(s) = 0 for s.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*t = 4078*t + 1963*t - 909048 for t.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:48 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26574.\nAnswer: 2, 3, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. Suppose -5*i + 45 = a*z, 2*z - i + 5 = 35. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2\/11, -0.3, 0.3, 15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 4) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 7*m + 8. Let p be j(6). Suppose 0 = 32*r + 3827 - 3795. Put -4, p, r in decreasing order.\nAnswer: p, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 0*m + 7 + 1 + 40*m - 20*m - 9*m - 12*m.\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose -x - 10 = 3*s, -7*s - 16 = -f*s + 2*x. Is 14 a factor of 75\/2 + (-1)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.77 and 0.308.\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -37, 0.\nAnswer: -37, -11, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 - 49*b**4 + 38*b**3 + 46*b**2 - 58*b + 1 wrt b.\nAnswer: 240*b**3 - 1176*b + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.056282259 and -0.131.\nAnswer: -0.074717741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) + (-36)\/5. Let g(k) = -2*k**2 - 15*k + 6. What is the tens digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(288) - (sqrt(288)*-1 - sqrt(288))) + sqrt(288) - sqrt(72)\/sqrt(4)*6))\/(-2*(sqrt(294) - -2*sqrt(294))*-3))**2.\nAnswer: 400\/1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 + 72*r**2\/5 - 39*r + 126\/5.\nAnswer: -3*(r - 21)*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 17*v + 6. Let x be i(-5). Suppose 6 - 21 = 3*o. Which is bigger: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b = -102*b + 38*b + 37*b - 76 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11 + 14 - 15 - 70*z**2 + 3*z. Let p be u(4). What is p rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -439, -440, -441, -442?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5474*t**4 + 1872*t**2 wrt t?\nAnswer: -131376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Suppose u = 3*f - 151, -2*u - 109 = -i*f - 3*u. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 2 - 4*v**2 + 0*v**2 + 6*v**2 as r*v**3 + h + t*v**2 + o*v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2225 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57420 and 264.\nAnswer: 114840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) -0.12 (b) 2 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (709 - -29)*(-200)\/6. What is f rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 - 161243*v + 161243*v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9178)\/1059*3\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3988 (c) -1 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 3*o)*(-1 + o + 1) + 0*o**2 - 5*o**2 + 2*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534351777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 275712?\nAnswer: -275711.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 880503*t**3 + 127*t**2 + 702658816*t?\nAnswer: 5283018*t + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 2, m: 1, o: 2, p: 1, r: 1}. What is prob of picking 1 z, 1 u, and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1484, -935, -386, 163, 712?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-7))\/((-9)\/6). Put m, 2, 5 in increasing order.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3)*q*q)\/(q**(-1\/4)\/q))**(-2\/23) assuming q is positive.\nAnswer: q**(-29\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 44, 46, 52, 62, 76?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 20 = -3*y - 19, -3*w = 4*y - 52. Let l = w - 107\/6. What is the common denominator of -89\/6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - -6. Suppose -399 = -56*g + 49*g. Calculate the remainder when g is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471661800.\nAnswer: 2, 5, 12358309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:06 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20194651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let s(i) = -i**2 + 11*i + 4. Give s(l(d)).\nAnswer: -d**4 - 11*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 - (-23820)\/(-7581). Let w = 2\/2527 - k. What is the common denominator of w and ((-6)\/15)\/(2\/(-18))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28d + 0?\nAnswer: 28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/15*375\/30\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40973 times -7\nAnswer: -286811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 12*v**2 + 14*v + 1. Let y be 43\/(-3) - 4\/(-12). Let w be c(y). Let m = -143 + w. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 16*q**2 - 3 - 8 in the form v + w*q**2 + d*q and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50054 is divided by 2588?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 4.66, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262085420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 1. Suppose 7*y = 12*y - c. Solve -4*q + 0*a + 15 = a, -14 = -4*q - y*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*k**2 + 0 + 2\/3*k.\nAnswer: 2*k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 4*f**2 + 3. Let n(a) = 118. Let m(r) = -42. Let c(o) = -14*m(o) - 5*n(o). Let j(q) = -3*c(q) - g(q). Determine j(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6888*o**3 - 8*o**2 - 4*o + 3. What is the hundreds digit of r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142448263, -142448268, -142448273?\nAnswer: -142448278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12680 is divided by 844?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 23*r. Let p(w) = 4*w - 3. Let a be p(2). Let n = 585 - 589. Sort r, a, n in ascending order.\nAnswer: n, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15193 take away 12152?\nAnswer: -27345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + 0\/(5 - 7). Suppose -164 = -2*r + k*n - 12*n, -156 = -2*r - 2*n. What is the remainder when r is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -21*v + 5*p + 6636, -2*p = v - 2201. What are the prime factors of v?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 7 + 7)*(0 + 2 - 6) - 165 + 242*y + 165.\nAnswer: 258*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10177.286 from -0.075702.\nAnswer: -10177.361702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**3 - a**2 - 4*a - 10. Let l(o) = o**3 + o**2 - o - 1. Let q(v) = -5*l(v) + p(v). Give q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 4:55 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/8)\/((-5)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 3 = -15*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6)*(-2*q**3 - q**2 + q**2) + (3*q**2 - 3*q**2 + q**2)*(-2*q + 2*q + 2*q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 0\/((-6)\/(-3 - -1)). Let n = 11 - 10.92. Let j = n - 0.08. Sort -4\/3, j, f in ascending order.\nAnswer: f, -4\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9748.792mm?\nAnswer: 0.009748792","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**4\/7 + 346*z**3\/7 - 7148*z**2\/7 + 27480*z\/7 + 21600\/7 = 0?\nAnswer: -2\/3, 6, 20, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 o when four letters picked without replacement from orrrororro.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 4*s + 3. Let d(r) = -53*r - 1 + 29*r + 25*r. Let v be -8*(-1 - (-3)\/6). Determine v*d(a) + g(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.69 (b) -3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (10 - -2)) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20139253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 3 - -6) + -2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4058*p + 34750 + 152135 = 595*p - 690*p for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63139986 by 63139986.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2. Let x be z(-2). Suppose -x*k + 33 = -21. Let c be ((-36)\/(-5))\/(18\/45). What is the highest common divisor of c and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/522 and -85\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 2.3. Let j = 0.2 - w. Let o = 2.4 - 3. Which is greater: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 16*z - 5412. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 242 = 2*j, 0 = 6*c - 7*c + 3*j + 38. Let v(d) = -d**3 - 5*d**2 - 10*d - 6. What is the lowest common multiple of v(-4) and c?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*w - 10 = 0, -o = 4*o + w - 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9759 = -455*g - 4801 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8500 is divided by 230.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z + 210. Let j = -388 - -388. Is 14 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/12 + 23*v**3\/6 + 39*v**2 - 41*v - 1. Let r be g(-19). Let q(m) = m**3 - m**2 + 3*m - 1. Determine q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5742093415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23464, 47166, 70868, 94570, 118272?\n\"Answer: 23702*o - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = 1. Calculate the lowest common multiple of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h + 5. Let d be q(-3). Suppose -5*y = -d + 9. Let c(m) = -m + 1. Let s be c(4). Sort 0, y, s in ascending order.\nAnswer: s, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*q + 1093081 + 2845064 + 120815 = 0. Which is smaller: -7188 or q?\nAnswer: -7188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxxaawxlwnaxlx. What is prob of picking 1 a and 1 l?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3229, 6475, 9721, 12967?\n\"Answer: 3246*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-237)\/1185*(-35)\/(-6)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22*10\/(-10). Let r = -2 + 3\/2. Let t = 0.7 + 3.3. Which is the nearest to 1\/3? (a) t (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n - 4. Suppose n*m = m + 15. Suppose 0 = m*s - 13 + 3. Solve -3 = f + s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2335950 and 43800?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 - 156.5. Which is the third biggest value? (a) 3 (b) 2 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-30 + 28 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1060)\/(-2968))\/(5\/(-24)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.349*-0.07.\nAnswer: 0.02443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2664006?\nAnswer: 2, 3, 444001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2635 or 2825?\nAnswer: -2635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2025*t**3 + 77130*t**2 - 6844*t + 152.\nAnswer: -(t - 38)*(45*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 52 - 85 + 137. Let j(v) = 8*v**2 + 20*v. Calculate b(j(o)).\nAnswer: -8*o**2 - 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 17*g**2 + 4*g - 12. Let i be c(-16). Let r = 598 + i. List the prime factors of r.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than 21\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y + 9. Let b be r(-6). Let t = b + 8. Let p = 11 - t. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-11 - -2 - -13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17557, -17676, -17795?\n\"Answer: -119*j - 17438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 401 - 14 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242477 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 11 - (54 - 121 - -83)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 13. Let v be b(15). Suppose -2 = -3*z + v*z. Let n be (1 - 0)*(-4 + 1). Put z, n, 1 in increasing order.\nAnswer: n, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -8*j + 72*j - 1722768. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 5:05 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-27))\/(25\/90).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -176?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18.4 (b) -1.2 (c) 1\/2 (d) -2\/7 (e) -34\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 + 0 - 9 + 7*b + 21 wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 7206*z\/5 - 28664.\nAnswer: -2*(z - 3583)*(z - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48907.\nAnswer: 48907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -6, 130?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12487546 is divided by 274.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3823 + 3818.946. Let n = 0.054 + k. Which is the fourth smallest value? (a) 5 (b) -1 (c) n (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(720) + 1 + -2 + -1 - ((sqrt(490) + 2*sqrt(490))\/sqrt(200) + 2).\nAnswer: -5 + 99*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 778195 divided by 5?\nAnswer: 155639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*f - 3*f - 2, 3*l + 24 = 3*f. Suppose f*t - 76 = 107. Find the second derivative of 51*n**5 + 6*n - t*n**5 - 2*n + 5*n wrt n.\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3842*z**2 + 2*z - 55. Let d(j) = -19209*j**2 - 12*j + 264. Let p(x) = 24*b(x) + 5*d(x). Find the second derivative of p(n) wrt n.\nAnswer: -7674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 204*u**2 + u + 1. Suppose 7 = 5*j + 4*k - k, k - 4 = 0. Let r be o(j). Is 18 a factor of ((-18)\/24)\/(-1 + r\/208)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Let u(d) be the first derivative of -1\/2*d**2 + 0*d - a. Let k(q) = -q**2. Calculate u(k(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcs. What is prob of picking 1 s and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18)\/r)\/r**(3\/5)*(r**22\/r)\/(r*r**(-30)*r*r) assuming r is positive.\nAnswer: r**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 2:58 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6598*w + 899. Is k(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1925882*c**3*i - c**3 - 33680*c**2 - c - 12 wrt i?\nAnswer: -1925882*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 11*p - 30. Suppose -p*v + 1373 + 4807 = 0. List the prime factors of -1*3*v\/(-30).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-1)\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - 14. Let s = 68 + n. What is the nearest to -1 in -0.3, 1\/4, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 26*c**2. Let p(x) = -13*x. What is p(d(z))?\nAnswer: -338*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-3)*(5 - 2). Suppose -a = -0*d - 4*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**2 - 6*n**4 + n**3 - 4*n**4 + 8 - n**4 + 14 wrt n?\nAnswer: -264*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 42*g + 42 = -44*g, 5*g + 75 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-12) + 1\/(-2). Let n be (-3)\/(-21) - (-255)\/420. Which is greater: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -436 and 0.43.\nAnswer: -435.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*x - 2*x. Suppose 3*s - 21 = -4*i, x = -5*s - 2*i + 7 + 14. Solve s*n + 17 - 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 d, and 1 w when four letters picked without replacement from wnwdqlddwqqowoo?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 786495 and 198.\nAnswer: 51908670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -625 + 898. Calculate the smallest common multiple of y and 54.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -963*m**4 + 2*m**3*w**3 - 3*w**3 + 2455*w wrt m?\nAnswer: -3852*m**3 + 6*m**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y = 8. Suppose -y*a = -25 - 19. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -45579 (b) 3\/2 (c) 3 (d) 122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140, -392, -660, -956, -1292, -1680, -2132, -2660?\n\"Answer: -2*j**3 + 4*j**2 - 250*j + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (1 + -1 - -8) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125 + 132)*(-9)\/(-7) + (-24)\/5?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3807 or 7615\/2?\nAnswer: 3807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 11264496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*b**2 + 3841*a*b*m**2 - 651*b**2*m**2 + 14*b*m - m**2 with respect to a.\nAnswer: -3*b**2 + 3841*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 8. Let w be u(-6). Let k = 9.2 - 10. Let l = -0.9 - k. Which is the closest to l? (a) -3 (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 5*v**3 - 5*v**2 - v**2 - 142 + 6*v**3 + 3*v**2.\nAnswer: v**3 - 2*v**2 - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 75. Let u be z(14). Solve 0 = 8*g - u*g + c - 18, -4*c = 3*g - 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -11. Suppose 5*j = j + o. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, i: 2, t: 6, p: 3}. Give prob of sequence ip.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5\/6, -0.3, 2\/11, -7?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:47 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1040219 rounded to two dps?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 412*s + 16298. Determine r(-39).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {u: 5, h: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 29. Suppose 3*f - 2*o - 70 = -2*f, a*f = 4*o + 68. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13213591637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13887*q**2 - 31298 with respect to q.\nAnswer: 27774*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24920503.\nAnswer: 71, 373, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 520 + -159. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -153895*g + 26393 wrt g.\nAnswer: -153895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.11 in 0, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - s - 35. What are the prime factors of u(8)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 - j**2 - 10*j - 2*j**2.\nAnswer: 13*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 2*i - i)*(8 - 5 - 1 + i).\nAnswer: 4*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 722*u - 26. Let y(s) = 239*s - 8. Determine 3*i(t) - 10*y(t).\nAnswer: -224*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 2*y**3 + 0*y**3 + 10*y**2 + 8*y - y**3 + 6. Let c be t(-9). Let z = c - -1. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 9*t**2 + 5*t + 12. Is 11 a factor of g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:40 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - 141. Which is the closest to 3? (a) 5 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 26*k**3\/3 + 10. Let h(s) be the third derivative of s**4\/8 + s**2 + 73*s. Calculate z(h(j)).\nAnswer: 234*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 20*s - 15. Suppose -14*m - 463 + 197 = 0. Determine f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*c*w**2*z - 44*c*w**2 - c*w + 2*c wrt z.\nAnswer: -160*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqcayyxn. What is prob of picking 1 y and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72419621 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -569061.57 from 7438.572.\nAnswer: 576500.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -55, -100, -165, -256, -379?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 38)*528\/99. Suppose 4*d + 3*y - c = 0, -4*d - y + 224 = -2*y. Let f = 57 - d. Solve -f*j - 10 = 2*h, h = 4*h + 2*j + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-130)*(100\/15)\/5\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*n - 543*n + 147*n + 750 = -175*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*b - 10*b**2 + 14 + 331*b - 167*b.\nAnswer: -10*b**2 - 3*b + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 20*a**2 - 182*a + 466. What is p(6)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.64 * 0.11841.\nAnswer: -0.7862424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 5*f**2 + 0*f - 1\/6*f**3 - 1\/120*f**6 - 1\/24*f**4 - 1\/15*f**5 + 0. Determine x(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**3 - 59 + 16*n**3 - 105*n**3 wrt n.\nAnswer: -255*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 34 = -5*t, 6*d - 3*d - t - 14 = 0. Suppose -3*j = -4*n - 61, 5*j - 84 = d*n + 14. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a6 (base 11) to base 5\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/76 - 2255\/8360) + (249\/(-40) - -2)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13156 divided by 493?\nAnswer: -13156\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4180 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 9*h + 25. Let w be a(12). Is w greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56149609.\nAnswer: 37, 1517557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*w = -142, 2*k - 7*w - 78 = 64. What is the remainder when 276 is divided by k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 9:54 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -11. Let x = 20.311 + -6.288. Let f = k + x. Round f to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-13)\/(208\/112)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (5 - (1 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 5. Suppose y*t = -t. Suppose f = -t*f. What is the second biggest value in -0.2, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + sqrt(432) + 5 + sqrt(432)*4 + -4)*4.\nAnswer: 44 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22915 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(2 + 2*o**3 - o**3 + 0*o**3) + 0*o**3 - 2*o**3 + 0*o**3.\nAnswer: -o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = z - 4*s, 4*s + 260 = 4*z - 244. Suppose z*x - 127*x = 3. Suppose a = -3*a - 20. Sort 5, a, -1, x.\nAnswer: a, x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 2307*c - 23 - 21 + 93 - 30)*(-2 - c + 2).\nAnswer: -2307*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 6*d - 7. Let m(r) = r**2 + 3*r + 3. Let y(k) = -6*j(k) - 13*m(k). What is the remainder when 8 is divided by y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 56. Let b = -4 + f. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*a + 5*a. Suppose -23 = -j + 6. Calculate the lowest common multiple of a and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*z + 10*z - 4666 - 11610 = 3159 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 1 r when three letters picked without replacement from {x: 1, h: 1, r: 1, n: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 527*i + 1053. Let p be m(-2). Let o(s) = -s**2 + 8*s + 5. Let x(k) = k - 1. Determine p*o(r) - 5*x(r).\nAnswer: r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*u + 74 - 96, u = -6. Which is the smallest value? (a) 1\/8 (b) -3\/2 (c) -3 (d) i (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 67. Let l be 6\/(-8)*(-16)\/6. Suppose 2*q = -l*q. Is u(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2985 + -741. Calculate the highest common divisor of u and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179446158, -179446156, -179446154?\nAnswer: -179446152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let j(x) = x. Let s(h) = -8*h + 3. Let q(v) = -2*j(v) + s(v). Let c(k) = -189*k + 56. Let l(r) = -3*c(r) + 56*q(r). Give l(w(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-4 + sqrt(10)\/sqrt(5)) - -6*(sqrt(2) + sqrt(12)\/sqrt(6))*-6)*6 + -3)**2 + 5.\nAnswer: 23004*sqrt(2) + 363686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 57, -281, -3, -4, 3, 4 in descending order.\nAnswer: 57, 4, 3, 2, -3, -4, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108947003 rounded to the nearest one million?\nAnswer: 2109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2.2, 4 in decreasing order.\nAnswer: 4, 2.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(133)\/(sqrt(7) + sqrt(28)) - (sqrt(304) - sqrt(304)*-1 - sqrt(19)))**2 - (-6*(sqrt(171) - sqrt(171)*2 - sqrt(171)))\/(2*sqrt(225) + sqrt(9)).\nAnswer: -12*sqrt(19)\/11 + 7573\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5709\/(-2345) + 15\/5. Let z = -2\/335 - s. Let n = 0.3 - -1.7. Which is the nearest to n? (a) 3 (b) z (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10055086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8380 divided by -8380.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3 + b + 0*b - b + 3*b. Let y be q(3). Let f = y + -8. Solve 5 = f*d - 4*x + 25, 0 = 4*d - 5*x + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 419 - -258. List the prime factors of q.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.048 * -0.7\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4 + 548*f**3 - 78172*f**2 + 1745980*f + 10750200 = 0. What is f?\nAnswer: -230, -5, 41, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 55*l**3 + 7*l**2 - 320*l + 1249. Calculate the remainder when z(4) is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569370?\nAnswer: 2, 5, 19, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - d - 11 = 0, -2*i - 4*d = i - 16. Solve -4*f + 4 = -i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 4. Calculate the lowest common multiple of j(-3) and (-4)\/(-6)*((-3)\/1 - -9).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*k + 3*k - 28, 3*k - 6 = 0. Let n = d - -8. Let o(h) = 4 + 2 + 2*h + 1 - 2. Let u(r) = -r - 3. What is n*o(v) - 8*u(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**3 - 30*x**2 - x + 10. Let f be g(5). Solve f*a + 97 - 104 = -2*i, 3*i + 3*a + 3 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 45, 1, -961 in increasing order.\nAnswer: -961, 1, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/7 - 2) + (-26)\/364. Which is the closest to m? (a) -16 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-100)*((-9)\/15)\/(2\/50)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 70 * 0.2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 261*s**3 + 2*s**2 - 2*s + 2. Is 4 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 350\/56 - ((-14)\/8 - -2). Let a(x) be the first derivative of 2 - 1\/7*x**2 + 0*x - 1\/21*x**b + 0*x**5 + 0*x**3 + 1\/7*x**4. Factor a(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 505?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 130509268, 130509266, 130509264?\n\"Answer: -2*c + 130509270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/11, 0.2, -3\/5, 82\/65?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*r + 18, -s - 8 = s. Suppose 2*g = -4*g + 30. Let a(y) = -g + 3*y + y + 0*y - y**r. Give a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyr when three letters picked without replacement from {r: 4, y: 7, g: 1, j: 6}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p - 36*p - 26*p + 54*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 6*t**2 - 5*t - 9. Let c be r(7). Suppose 2*x + 0*x + 19 = c*b, -5*x = b - 20. Solve x*f - 2 = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.8. Let z = -0.166 + 0.149. Let d = z - 0.083. What is the closest to d in l, 2\/9, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oojo when four letters picked without replacement from bpoopppdvvodoj?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1)*1)\/(6\/((-408)\/(-20)))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 24*q - 38*q - 93573 = 0. What are the prime factors of q?\nAnswer: 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 7*n + 16*n = -29*n - 1935 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l - 3*q - q, -4*l = 4*q. Suppose 2*j = -l + 5. Suppose -35 = -5*d - 2*g, d + 3*g = -j*d + 12. Calculate the remainder when 17 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i - 1. Let m(u) = 29 - 2 - 11 - 10 - 2 - 23*u. Calculate 6*m(g) + 17*y(g).\nAnswer: -2*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 2:50 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152959711?\nAnswer: 152959711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46, 1, 0.1?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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: Express -2903*p**2 + p + 12 + 2908*p**2 - 12 in the form q*p + y + b*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14996 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -14*t + 3\/2*t**3 + 0 + 0*t**2. Let a(l) = l**2. What is a(r(q))?\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -81. Let b = -59 + n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 239*w - 113 + 59 + 470*w + 58. What is the units digit of x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 - -264. Let n = c - 139.0111. What is n rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -55. Let z(g) = a*g - 34 - 22*g**2 + 3*g + 21*g**2. Let r be z(17). Let p(d) = d**2 - d - 14. What is p(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 5. Let w(x) = -3*x + 6. Let f(v) = 4*n(v) + 3*w(v). Let u(r) = r + 1. Let s(b) = f(b) + 2*u(b). Let j be s(-2). Which is bigger: -8\/11 or j?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(275) + (-2*sqrt(275) + 5)**2 + sqrt(275))*4 + -1 + 2)*-6.\nAnswer: -27012 + 2160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 229. Suppose -4 - 5 = -3*c. Suppose j = l + l + i, c*i + 94 = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1237 and -0.5.\nAnswer: 618.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 6*n + 4. Let j be l(7). Let z be 0\/(-3) + (-1)\/j. Let x = -65.9 - -66.4. Which is the third biggest value? (a) 0.14 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 + h**3 - 3*h**3 + (0 + 1 - 3)*(h + h**3 - h) + (2*h - h - 2*h)*(2*h**2 - 1 + 1) to the form q*h + t*h**2 + v*h**3 + a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from zgzzg?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2047687 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 96500 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003212230 - 3?\nAnswer: -2003212233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 - (-65 + 136) - -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/30 - 5*c**4\/24 - c**2\/2 + 5*c. Let o(n) be the first derivative of f(n). What are the prime factors of o(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*t**2 + 38*n - 3*t**4 - 50*t**3 with respect to t.\nAnswer: 4*n*t - 12*t**3 - 150*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -3. Let r = -0.066 + -0.004. Which is greater: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17228 divided by 17228.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 761022369 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-10 - -4) - (-16 + 23).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 + o**2 - 2*o**3)*(-2*o - 14*o - 10*o) to p*o**4 + b + j*o**2 + q*o**3 + c*o and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12*f + 3. Let s be y(2). What are the prime factors of 4\/(-14) + (-237)\/s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -217 + 231. Let r = -15 - -36. Calculate the highest common factor of b and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1040, -1025, -972, -857, -656, -345?\n\"Answer: 4*k**3 - 5*k**2 + 2*k - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 8*p - 4. Which is greater: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from llllldlllldldd.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66868 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -362, 1\/11, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, -1, 2\/3, -3\/4, -0.3, -0.12348, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/21495 and 49\/4299.\nAnswer: 21495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -35. Suppose -5*u = -b + 1, -u = h*b + u - 26. Is 11 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, d: 2, m: 6, h: 1}. What is prob of picking 2 d?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 28 - (-5 - (-3 - 6)) - 10) + -80?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + r**2 - 2*r + 1. Suppose -2*i + 2*d - 252 = 7*d, 0 = -5*d. Let v be (-3)\/(-5) - i\/(-35). Let t = -2 - v. Determine g(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 20*z + 42. Calculate the remainder when 8 is divided by i(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)\/u)**(-4\/13)\/((u\/(u\/(u\/(u\/((u\/(u\/(u\/(u**(-1\/13)\/u*u))*u))\/u)))))\/(u*u\/(u*u\/(u*u**(-2\/61))))) assuming u is positive.\nAnswer: u**(12445\/5551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, o: 2, g: 6}. What is prob of picking 2 g and 1 o?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/4 - 158*p - 19169\/4 = 0?\nAnswer: -29, 661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 19533?\nAnswer: 10\/6511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 0, 81.844?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2\/21 (b) -4 (c) 0.5 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12669051709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apnkkpapkppasanxn. What is prob of picking 1 s, 2 p, and 1 k?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 20603811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 19933.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16 or 0.6?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231938 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t = -876. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010110101011 + 11100?\nAnswer: 111010111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000646888 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -1134?\nAnswer: -136.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 5:33 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-112) - (-1352)\/1183\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3892296*a**5 + a - 978804?\nAnswer: -77845920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7344 + -7302 + (16 - 2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -11. Let z be h\/12 - (-1)\/4. Suppose -5*t = 3*i - 79, -5*i = -z*i - 3*t - 17. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 96615848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -61 + 46. Let y be -4 + (-1)\/2*-10. Solve -5*g + 2*t - 29 = 0, -a*t + y = -9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3 - 1429*h**2 - 1459 wrt h?\nAnswer: 6*h**2 - 2858*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffzfofzzf. What is prob of picking 2 f and 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2\/29, -0.8.\nAnswer: -0.8, 2\/29, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 3456*b + 492268. Determine u(137).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 94, 199, 326, 463, 598?\n\"Answer: -2*r**3 + 29*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y**(-5\/3)\/y)\/y))\/y)\/y**(-2\/13))**(-2\/89))**(-11\/6) assuming y is positive.\nAnswer: y**(1639\/10413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and -33.64.\nAnswer: -3128.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 4:00 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*b + 2400286, 0*b + 2*b - 1800204 = -3*y. Suppose y = q - 2899930. Suppose -4*l + q = l. What is l rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + -27)\/(6\/4). Let v be 9 + (w\/4 - -1). Let q be -2 - (12\/(-2) - 0). Solve -2*h = 2*r - v*r - 2, -q*h + 26 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*g - 8, 3 = f + 2*g - 1. Let d(b) = b**3 + b**2 + b + 33. List the prime factors of d(f).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 5*z**3\/3 + z - 17559. Let s = -2 - -3. Let y = s - 2. Give a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.436.\nAnswer: -0.0872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 3483 in ascending order.\nAnswer: -3, 3, 3483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -13, 1\/4, 1\/3, -34.\nAnswer: -74, -34, -13, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -20*b. Let p(y) = -11*y. Let m(h) = 11*p(h) - 6*r(h). Let w(v) = 53*v + 1. Give w(m(n)).\nAnswer: -53*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4357 + 117659\/27. Find the common denominator of 58\/3 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:15 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1*22\/12 - -1 - 3653\/(-6) and 256?\nAnswer: 4864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/8)\/n)**(-1\/4))**(-33) assuming n is positive.\nAnswer: n**(-363\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1606, -258\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 6 - 42 - 11*m - m**3 - 37*m - 13*m**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 - 90657257.76?\nAnswer: -90656104.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 23*d**2 + 37*d - 32. Calculate v(-21).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Suppose z + 2 = 2*k, 0 = 3*k - 7*k + 4. Solve -c*w + z*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5 + 308*t**4 + 7948*t**3 + 83388*t**2 + 315504*t + 239760 = 0.\nAnswer: -37, -18, -15, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 60*s - 124*s = -109 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 37. Suppose 5*p - 13 = m. Suppose d = -p*d - 49. Let k(w) = w**3 + 6*w**2 - 5*w + 8. Determine k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3191 = -s + 1340. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157941, 157942, 157943, 157944, 157945, 157946?\n\"Answer: z + 157940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*g - g**2 + 130*g + (-96 + 96 - 37*g)*(-g - 3 + 3) + (1 + g - 1)*(0*g + 3*g - g) + g**2 - 4*g + 4*g + 3*g - 3*g + 2*g**2 - g**2 - 3*g**2 + 6*g**2.\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482883134.\nAnswer: 2, 3847, 62761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 - 2181\/(-27). Let p be 1\/(-8) - 2337\/(-456). What is the third derivative of 20*j**2 - l*j**5 + 61*j**p + 2*j**2 wrt j?\nAnswer: -1200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -1 + sqrt(720)*-1)**2 + sqrt(720)*2 + 3 + -2 + 5.\nAnswer: -4464 - 696*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 + 1010100110111?\nAnswer: 1010100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**7\/1260 - p**6\/45 - 7*p**4 + p - 3. Let b(g) be the third derivative of m(g). Factor b(z).\nAnswer: -2*z*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*p = 564*p + 18471 - 62311 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 372. Let o(p) be the second derivative of -p**4\/6 + 7*p - 304. Determine x(o(f)).\nAnswer: 2*f**2 + 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - 0.01. Let k = -3 - -2.8. Let x = -245 - -248. Which is the nearest to j? (a) k (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y + y**3 + 3*y**2 - 3*y**3 + 45 - 20*y**2 - 16. Is n(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20142 divided by 3357?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - (sqrt(136)*-1 + sqrt(136) - sqrt(136)))*3 + sqrt(136))\/sqrt(8))**2 + sqrt(136)\/((sqrt(72)*1 + sqrt(72))\/sqrt(9)).\nAnswer: sqrt(17)\/2 + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 473 = -5*x, -2*t - 8*x - 249 = -3*x. Let y(n) = -n. Let w be y(-12). Let v be (t\/w)\/(2\/(-3)). What is the highest common divisor of 126 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5267*t + 8 = -5271*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41567441?\nAnswer: 73, 569417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 21 = -3. Suppose -216 + 16 = -d*r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 184, 279, 376?\n\"Answer: p**2 + 90*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 230?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 - (4 + 2 + 0). Let z be (-9)\/m + 37\/8. Solve 0 = -z*r - n + 9, 4*r - n - 3 = -6*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -25*n + 25. Let m(i) = -18*i + 17. Suppose -p + 3*c = -2, -c + 18 = -3*p - 0*c. Let a(y) = p*m(y) + 5*u(y). Calculate a(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/140 and 89\/1420?\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**2 + 24*d - 48. Let i(v) = v**2 - 1. Let k(j) = 12*i(j) - q(j). Find y, given that k(y) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3857, 4077, 4283, 4469, 4629, 4757, 4847?\nAnswer: 4893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*(y*y**(2\/5)*y)\/y*y*(y*y**(-4\/7))\/(y\/(y**(1\/5)\/y)))\/(((y*y**(-2\/3)*y)\/y)\/y**(-5))**(-17\/4) assuming y is positive.\nAnswer: y**(1963\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -5, 1, 7, 13, 19?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, b: 5}. What is prob of picking 3 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8582 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + j + 104 - 104. Let q(l) = -l**2 + 2*l. What is 2*i(c) - q(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (59\/2 + 2)*278*3\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 i when four letters picked without replacement from {j: 4, i: 11, s: 3}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 1.52928\nAnswer: 1.12928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twc when three letters picked without replacement from {o: 3, c: 4, t: 1, n: 1, w: 2, h: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -936 - -16?\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(76) + 0)**2 + (sqrt(684) - -2*sqrt(684) - sqrt(684))**2 + 4)*5 + 1.\nAnswer: 80*sqrt(19) + 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-2)*-9*(-16)\/(-288).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 - -10?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -27. Let n(h) = 10*h - 11. Calculate the remainder when n(r) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.858947652 to 1 decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1, 1, -205 in increasing order.\nAnswer: -205, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1775*j - 34 = 1773*j - 4*z, -5*j = -4*z + 69 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijji when four letters picked without replacement from {i: 2, j: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 - 4*s**2 - 6*s + 1. Let g(v) = v**3 + v. Let i(f) = -5*g(f) - o(f). Let z be i(4). Does 14 divide z\/(-3)*1 + 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 54. Solve -j*d = -4 - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284284?\nAnswer: 2, 7, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*h**2\/7 + 149378156*h\/7 + 2246288.\nAnswer: 2*(h + 3931004)*(19*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/((-38)\/((-15732)\/(-115))).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (505\/(-303))\/((40\/(-3))\/4). What is the closest to -2 in -1\/7, 0.07, j, -10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:42 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - u**2 - 5*u - 7. Calculate the remainder when b(-5) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7967, 7922, 7847, 7742, 7607, 7442?\nAnswer: 7247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuuwjuwwjfjjwujjf. Give prob of sequence juj.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20*0.227\nAnswer: 4.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.9 + 5. Let p = 0.1 - a. Which is greater: 0.1 or p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3385 (base 10) in base 14?\nAnswer: -133b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = -7*t + 9*t, t - 6 = h. Is h bigger than 8\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/15 and -19\/909?\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, f: 2}. What is prob of sequence dddd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 4, -14 in increasing order.\nAnswer: -14, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5224796 and 79\/11208?\nAnswer: 31348776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107589808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - c - 1. Let b be m(-1). Let h(u) = 2*u**2 - 3*u - 4. Let z be h(b). What is the nearest to -12 in -5, 2, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182955681 to the nearest integer?\nAnswer: 13526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305*z**2 + 17114 - 17114 + z to p + a*z**2 + l*z and give a.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + -7 + 9 + -3) - 17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 4*p - 19, 4 = 3*p + p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 55. What is the units digit of u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 1) + ((-41)\/((-246)\/(-36)))\/1. Factor -9\/7*j**2 - 6\/7*j**3 + t + 3\/7*j**4 + 0*j.\nAnswer: 3*j**2*(j - 3)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*56\/(-476))\/((3\/(-4))\/((-18)\/(-28)))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8))**(-14))**(-35) assuming f is positive.\nAnswer: f**(-3920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urkr when four letters picked without replacement from wrkddrdurrdwkdrwww.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 236?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 42 - 257. Let n = 39 - o. Which is the second smallest value? (a) 0.24 (b) -3\/2 (c) n (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -129*r + 7. Let c be j(-2). Calculate the common denominator of c\/(-176) - 1 - 4\/22 and 67\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12 - -10)*4 + 1698?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*d**2*x**2 - 2*c*d*x**3 + 19*c*x**3 + 13*d**2*x**3 - 12*d**2*x wrt x.\nAnswer: -12*c*d + 114*c + 78*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 3*g - 4*g + (-1 + 4 + 0)*(-14*g - 19*g + 5*g) + (1 - 1 - 3)*(1 - 4 + 4)*(-4*g - g + 4*g) to z + j*g and give j.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314 less than or equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -39d?\nAnswer: -3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*u + 5*y, -5*y - 53 = -4*u - 7. Suppose u*a - 11*a = -4*x, -5*x + 5 = 0. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 + -4 - 16) + -6 + 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 703 + -702.8. What is the closest to g in -1, -0.8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 465 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-64)*8\/(-456)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45 + 0.05. Suppose 4*z = z - 15. Let y be 2 + z - (-15)\/4. Put p, y, 0 in ascending order.\nAnswer: p, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 1, e: 5, o: 6, z: 4}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 58557.\nAnswer: 26\/19519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -658, -2, 3, -1 in descending order.\nAnswer: 3, -1, -2, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 1. Suppose -2*x - 10 + 26 = 0. Let f(a) = 186*a - 30. Let v(p) = x*h(p) + f(p). Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l - 3*u - 20, -693 = -4*l - 5*u - 689 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 434890 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 plus 1.049?\nAnswer: 1.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -3, 2.\nAnswer: -106, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*y + 25500 = -90*y + 350*y. Calculate the highest common divisor of 1760 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b + 2*x - 6, -4*b + 5*x + 17 = 0. Solve 3*j - 20 = 4*c, 4*j - b*c - 5 = 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16633978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3818 + 3818.5. Which is the nearest to 5? (a) 5\/6 (b) w (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + (-12)\/(-7). Let h = -1429 + 1433. Find the third derivative of h*n**6 + 29*n**m - 21*n**2 - 15*n**2 wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286337\/3 + -3107968\/33. Let n = 1262 - d. Find the common denominator of (-86)\/(-10) - -1*2 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0*r**2 - r**2 + 5 - 5*r**2 - 9*r**3. Let c(y) = 7*y**3 - 791 + y**3 + 5*y**2 + 787. Give -7*c(p) - 6*u(p).\nAnswer: -2*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 - 3*w**2 + 2*w**3 - w**3 - 295*w + 598*w - 292*w - 9. Calculate a(-5).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*c**2 + 3951*c**3 + 7 - c - 523*c**2.\nAnswer: 3951*c**3 - c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115714331 is divided by 1488?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h - 4. Let c be o(5). Suppose -21 = -d + t, -4*d - t + 85 = c. Let v = d + -17. Which is bigger: -6\/17 or v?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, 1 k, and 1 o when four letters picked without replacement from tomkcma?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/(-7))\/(-374)*4\/(-2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -28*r. Let f(x) = -11*x. Let b(t) = -5*c(t) + 12*f(t). Let i be (-1 - -1)\/(4\/4). Let q(u) = -7*u**2 + 0*u + 9*u**2 + i*u. What is b(q(o))?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + 3*i**2 - 3*i - 3. Let z(k) = -28*k**3 + 26*k**2 - 26*k - 26. What is 52*c(s) - 6*z(s)?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 3}. Give prob of picking 1 f and 2 c.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -1091*h**4\/3 - 34884*h**3 + 544915*h**2 - 6005734*h\/3 + 150920 = 0. Calculate h.\nAnswer: -110, 84\/1091, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101001001111100101 (base 2) in base 3?\nAnswer: 2021212002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 210 (b) -3 (c) -32 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*m + 88, -4 = m + 2*n + 12. Let x be 20\/(-6)*m\/16. Sort 2, 1, x, -7 in ascending order.\nAnswer: -7, 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(588) - (sqrt(588) + sqrt(588)*2 - sqrt(588))*6 - sqrt(588))\/sqrt(12))\/((sqrt(7) - (sqrt(56) - sqrt(224)\/sqrt(4))\/sqrt(8)) + -2*sqrt(567)).\nAnswer: -36*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -4 - -5) + 18\/3. Let d be 8\/24*(-2 + x). Suppose -3*a = -12, 5*f = -5*a + 16 + 24. Put 0, f, d in descending order.\nAnswer: f, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 + 1260 = 46*h - 658 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(36\/162*-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by -8 + 30\/10 + 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/90 and (5270\/(-1197) - 2\/19) + 5?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159033106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let j(c) = -6*c + 78. Let p(s) be the second derivative of -s**3\/3 + 25*s**2\/2 + 53*s - 2. Let y(o) = 6*j(o) - 17*p(o). Calculate y(z(r)).\nAnswer: 2*r**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.7474 to 1 decimal place.\nAnswer: 87.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/132605400 and -157\/1740.\nAnswer: 132605400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -15. Let l be 42\/12 - o\/2. Solve -2*t = -4*u, -t + l - 4 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q = 4207 - 607. What is the common denominator of 425\/q + 5 - (-2)\/9 and 107\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 83. Let u be (-2)\/8 - n\/(-20). Is 11 a factor of u*-24*6\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1189245311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1544, 1543, 1542, 1541?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64004, -64047, -64044, -63971, -63804, -63519?\nAnswer: -63092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106532 divided by -1832?\nAnswer: -26633\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438641921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2048 by 2.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8 - 9) + -4 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let w(f) = 4 + 1295*f**2 - 3 + 1082*f**2. Calculate a(w(c)).\nAnswer: -11300258*c**4 - 9508*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + 0.3. Which is the closest to -0.1? (a) 3 (b) 6 (c) 5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i + 68. Determine o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15152*t - 4. Let w(n) = -n**3 - 9*n**2 - 14*n + 2. Let y be w(-7). Let b be s(y). What is b rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 108 = -12. Suppose 2*a + 5*s = -11, -5*a - 157*s + 156*s + 7 = 0. What is the lowest common multiple of a and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 4\/5, -75, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4122, 8229, 12338, 16449, 20562?\nAnswer: 24677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 + -113. Which is the closest to 0.3? (a) 0.3 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) - 6*(sqrt(105)*-1 - sqrt(105)))\/(sqrt(18)\/(sqrt(6) + sqrt(96)) + sqrt(3)))\/(4*-4*-6*-2*sqrt(7)).\nAnswer: -65*sqrt(5)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 460*s - 3127. Let h be u(7). Solve 102*r - 63 = h*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.99649 milliseconds in nanoseconds?\nAnswer: 16996490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53363.18 in -0.1, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16612 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + f**3 - 3*f**3)*(f - 2*f - f) + 127 - 127 + 9*f**4 + (2*f + 5 - 5)*(-4*f**3 + 3*f**3 + 3*f**3) - 2*f**4 - 2*f**4 + 6*f**4.\nAnswer: 17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532 - 0.82.\nAnswer: 531.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(-1 + (sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5))*-2 + -3)**2.\nAnswer: -784 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13))**(-4\/23)*v**(-8\/3)\/v*v**(-15) assuming v is positive.\nAnswer: v**(-1132\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + sqrt(363) + 0 - 5*sqrt(12)\/sqrt(4).\nAnswer: 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51595, -104005, -156415?\n\"Answer: -52410*l + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 10*j + 5. Let n be g(10). Suppose -3*y - n = -2*o + 21, o + 5 = -3*y. Solve 2*d - 1 = -o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -95. Suppose r*d = -d - 0*d. Let n = -38 - -41. Solve d = -n*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 674176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 54047?\nAnswer: -99\/54047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from bnnjbnjnnnvnnnbn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*m - 101*m - 179*m - 3*m**2 in the form v*m + t + z*m**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - h = 3, -604 + 648 = -3*d + 4*h for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192159 a multiple of 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17 = -2*i + 4*i, 2*z - 5*i + 10 = 0. Suppose z*j + 9*j = 2926. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*w + 19. Let x be (w\/(-24))\/((-6)\/(-4)). What is the closest to 0 in 1, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26251485 divided by -5250297?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139\/9 + 2677\/171. What is the second smallest value in k, -7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191 + 2083 - o - 4559 + 0*o + 2055.\nAnswer: -o + 770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 34*m**3 + 18*m**2 + 43*m - 440. List the prime factors of i(6).\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*n = -n + 6, 2*b = -2*n + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -32.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 43, -1\/20, -4, -9, 5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 2, y: 2, r: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 330*n - 358008 + 67608. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/117 and (-7185)\/(-124200)*-10 + (-2 - 10\/(-4)).\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4745?\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1491 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006440 is divided by 4493.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 27 = 23, b - s = 4. Let w(r) be the first derivative of 1 - 2\/7*r + b*r**2 + 2\/21*r**3. Suppose w(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*m**3 + 5*m**3 - 34*m + 32*m to the form h*m**3 + f*m + p*m**2 + j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:28 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 3778*g**3 - 1801056*g**2 - 15934880*g - 14137600 = 0. Calculate g.\nAnswer: -940, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001000010110 + 111111?\nAnswer: 1011001001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 23. What is the highest common divisor of y and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1321*u**3 + u**2*v**2 - 36*u - 7*v**2 + v + 36 wrt u?\nAnswer: -7926*u + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*f + 19*f + 19*f to the form q*f + k and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(1053).\nAnswer: 2 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221 + 220. Let u = -5 - -4.7. Which is the nearest to 0? (a) u (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 18*q**2 + 6*q**2 + (-q - 3*q + 5*q)*(4*q - 4*q + 2*q) + 8*q + 3*q**2 - 8*q)*(2*q**2 - 2 + 2).\nAnswer: -22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14732566783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:57 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10630589 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 39 = 62. Round r to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157427361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-301)\/(-196) - (-783)\/(-609). Suppose 7\/4*m - z*m**2 - 3\/2 = 0. Calculate m.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1984 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4332 = -5*t + 2693. Suppose -l + t = -0*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4942\/(-378) + 13 - 152\/(-594). Let s - 2\/11*g**3 + 2\/11*g - 2\/11*g**2 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-992)\/24)\/((-6)\/45). Suppose 2*w + u = 920. Let x = w + -202. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 12474781.560481?\nAnswer: 12474778.560481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -34283\nAnswer: -69\/34283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.7 and 2223.\nAnswer: 32678.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(1134)*-3)\/((3*sqrt(700))\/(sqrt(4) + (-2*sqrt(4)*-1 - sqrt(4)))).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 77704944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:56 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 16*b - 15 = 0. Let j = 35 - 10. Suppose 0 = -5*n + 15, 0 = -5*s - n - 2 + j. Solve 0 = b*i + d - 11, 8 = 5*i + 2*d - s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1 + -1 + -1). Solve 2*a - 6 = -4*b + f*b, b + 4*a = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 11*r**2 - 10*r + 3. Let a be s(10). Suppose -a*d = 2*d. Suppose -5*z + 27 - 2 = d. Solve -2*j - 1 = -z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from nntatnatttanaatntt?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4350 = 5*l - 4715. What is the highest common factor of l and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4\/3 - 52*b**3\/3 + 328*b**2\/3 - 560*b\/3 + 96 = 0.\nAnswer: -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2702 and 31\/6562.\nAnswer: 45934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 138. Let l be c(27). Let x be 26*(85\/l - 1\/(-3)). Calculate the greatest common factor of x and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*a**3 - 111 + 73 - 146*a**3 - 7*a + 57 wrt a?\nAnswer: -1548*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 18*z**2.\nAnswer: -2*z**2*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 + 1143 + 2012 = -175*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2107470 or 2107469?\nAnswer: 2107470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-7)*2149\/1228?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 11) to base 7\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-4))\/((-522)\/(-72) + -7). Solve -c - 4 = 0, 6*c - 2*c + 31 = b*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14333.651 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpjepppejjjpeej. What is prob of picking 4 e?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {d: 2, i: 3, g: 2, z: 1, a: 2, q: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 4*c - 4. Let v(q) = q**2 - q - 1. Let w(b) = 5*b**2 - 10*b**2 - b**3 + 6*b**2 + 0*b**3. Let r be w(2). What is r*v(m) + a(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b092 (base 13) in base 5?\nAnswer: 10101113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1338 + -7016. Which is bigger: n or -5679?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40620 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 2*m + 260 + 89 - 435 + 86.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61 and 100442?\nAnswer: 6126962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 707033756*x - 62487091515433442.\nAnswer: -2*(x - 176758439)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + w = -104, -2*g + 394 = 7*w + 114. Solve -g = -622*b + 636*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 minus 10931?\nAnswer: -10960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = 3*h. Let b(o) = -o**3 + o**2 + 26. Let x be b(0). Suppose 0 = -h*v - 0*v - x. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 990?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*b - 279*b + 160 = -41 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 2. Let d(l) = -6*l - 11. Let q(h) = -4*d(h) - 22*n(h). Let z(t) = 120*t + 53*t + 3*t. What is q(z(j))?\nAnswer: 352*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 31*j - 4. Let g be y(-14). Suppose 2*r - 39*b + g*b - 13483 = 0, -4*r = b - 26951. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4 - -6)*1)\/2 + -28. Let l be 7\/7*-4*6\/x. Determine u, given that 0*u - 14*u**4 - l*u**2 + 0 - 64\/9*u**3 = 0.\nAnswer: -2\/7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 87555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 46. Let f = p - -28. Let o(a) = a**3 - 7*a**2 - 6*a - 11. What is the remainder when o(f) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 0.7 (c) -10 (d) 1\/7 (e) -0.0313\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 93, 106, 95, 54, -23, -142, -309?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -59. Solve 2*o + y = k, -4*y + 2*y = 2*o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 5, m: 1, o: 1}. What is prob of picking 2 s and 1 o?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58768783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2223.9405us?\nAnswer: 0.000037065675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let d = -25.6 + 26. Let m = -0.2 + 0.1. What is the nearest to 1 in l, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8907 (base 13) to base 14.\nAnswer: 6d68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/3, 2, -0.3, 2\/43, 6\/11?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 8*w**2 - w**2 + (-2 + 3 + 0)*(-2*w + 2*w - 3*w**2) - 13*w - 5*w**2 + 13*w)*(-w**3 - 11*w**3 + 0*w**3).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -174571, -3\/5, -0.7, -2\/5, 2\/5, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-25)\/10575). Let d = -702\/5 + c. Let -d*l + 0 + 3\/5*l**2 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (309 + 103 + 38)*(-6*l + 3*l - 2*l) as b + z*l and give z.\nAnswer: -2250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f - 0. Suppose -2*u + f = 3. Let l(p) = p + 3. Let a(c) = 4. Let i(m) = -5. Let o(s) = 4*a(s) + 3*i(s). Determine u*l(w) - 5*o(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/242748495 and 149\/2460.\nAnswer: 970993980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -1.1. Let c be 2\/(0 - (-24)\/(-21)). Let u = c - -67\/36. What is the smallest value in v, 2\/9, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 9*p**2 + 68*p + 34. Calculate i(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -406 (base 9) to base 15.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.33728 to 1 dp.\nAnswer: 41.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.8 (b) -1 (c) 14.293 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64, 72, 70, 52, 12, -56?\n\"Answer: -r**3 + r**2 + 12*r + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 7606055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -80. Suppose -g*u = 4*i - 60, 39 = u - 0*u - 5*i. Suppose 4 = -2*w + u. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m + m + 3*m)*(-18*m - 10*m**2 + 57*m - 27*m) + (5*m - 5*m + 4*m)*(0*m**2 + 2*m**2 + 0*m**2) in the form j*m**2 + k + i*m**3 + u*m and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3760 and 13037160.\nAnswer: 1225493040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 20416.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 10:16 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21250413 + 68124587 = 55*u. What is u rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose l - r - 13 = 0, 2*l = p*l + 2*r - 19. Is 123\/5 + (-9)\/l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (649 + -683 - (-13 + -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 59. What is the fourth biggest value in 0.4, a, 1, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:43 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -196, 0, 3 in increasing order.\nAnswer: -196, -10, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 151 = -d, -3*d + 5*d - 117 = -3*k. Suppose 3*r - k = s + 3, 5*s = -3*r + 70. Let n(u) = -u**3 + 16*u**2 - 9*u + 22. Does 16 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 8 (c) -5 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 423 and 4?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8 = -o. Let w = -363.79 - -363.29. Which is the closest to 3? (a) o (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/12 - 6)\/(2 + -1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -210, -311, -412, -513, -614?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-14)\/8) + 4\/(-16). Let x = 0.6 + -0.2. Suppose f + f + 6 = 0. Which is the nearest to d? (a) 4 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/94, -3, 2\/5, 1\/2, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -238 less than -36148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(891) + -5 - (sqrt(891) + (2 + sqrt(891))*6))**2 + 1.\nAnswer: -97094 - 5508*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 160. Is c(25) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 58. Suppose -6*k = -12*k. What is the units digit of n(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -121 in descending order.\nAnswer: 1, -7, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214199825.\nAnswer: 5, 7, 19, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4368*y - 3*t + 9 = -4372*y, 19*t = -7*y - 40 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 84553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 1148 = 17*x. Suppose 4*z = i - 23 + 40, -3*z + 7 = 5*i. Calculate the greatest common factor of x and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 3804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1431545 and 365.01?\nAnswer: 1431910.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, h: 1}. Give prob of picking 3 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 13*p**2 - 4*p - 17. Let m be i(6). Let f = m - 156. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -11*r**7\/35 + 17*r**6\/120 - 17*r**5\/4 + r**4\/24 - 2*r**2 + 221*r. Find the third derivative of t(c) wrt c.\nAnswer: -1584*c + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-6 - 15*(-50)\/90)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (2295\/(-18))\/15?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(3)*-2) + 2 + sqrt(108) + (-2 + sqrt(108))**2 + 3.\nAnswer: -15*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2032\/31, 0.14?\nAnswer: 2032\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -513232?\nAnswer: 513232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 16*v**2 - v - 2. Let o be b(7). Let z = -48815\/113 + o. Let y = -573\/904 + z. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209*(-2)\/(352\/16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 926 = 4*j, 4598 = 5*b - 4*j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400663.\nAnswer: 257, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38139, -38152, -38191, -38268, -38395, -38584, -38847?\nAnswer: -39196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - 16*c**2 + 6*c - 10. Give q(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195 + -4?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71870678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/((-15)\/(-280)). Let a = -19 - r. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 7:00 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22689*j - 11175*j - 11514*j - 8110*j**2.\nAnswer: -8110*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 300 = 172. Suppose 8*u = t - 3. Let l(v) = -v + 8. Let w be l(-6). Calculate the highest common factor of w and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 5. Give b(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(1 + (-3)\/5). Suppose -3*h + 6 = 0, 4*c - 3*h = -0*h + 354. Calculate the greatest common divisor of w and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/18*-8*(-60)\/(-40).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -6139\nAnswer: -1227.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3690 and 719960.\nAnswer: 6479640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, 2.19, -2, -20, -0.2, 13\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjjssjsjjjsjsjs. Give prob of sequence sjj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 4 (c) -7\/5 (d) 2.9 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 - b**5 + 4*b**3)*(-4 - 30 - 7)*(-21 - 1 + 2)*(2 - 1 + 1)*(1 - 5 + 3)*(1 + 0 + 1).\nAnswer: 3280*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.08427ug in grams?\nAnswer: 0.00001408427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*a - 6, 4*a + i - 5 = -3. Let w(x) = x**2 - 3*x - 2. Let p be w(4). Solve 0 = p*g - a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4179?\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*n**2*o**3 - 2*f*n**2*o**2 + f*n**2*o + 39*f*n**2 + 58*n**2 - 4303*n*o**3 - n*o**2 + 4*o**3 wrt o.\nAnswer: 18*f*n**2 - 25818*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 10:43 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.8 take away -25?\nAnswer: 107.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3))\/q*q**(-1\/2))\/(q*q**(-1)\/q)**(-46)*(q**0\/q)**(-2\/81)\/(q**(2\/3))**(-9\/2) assuming q is positive.\nAnswer: q**(-6557\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2041629\/19 + 107391. Let f = k + 10347\/190. Find the common denominator of f and -29\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -691*j**2 + 4768*j?\nAnswer: -1382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14951, 3338, -4 in descending order.\nAnswer: 14951, 3338, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3415988*l**3 - 1479780*l**2.\nAnswer: 20495928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -196199.86 rounded to the nearest 100?\nAnswer: -196200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -27*3\/(117\/(-6149))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -105. Calculate the lowest common multiple of 30 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dbdfdfffffbbddbffb.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -1\/4 (c) 1.2 (d) -5 (e) -386 (f) -4\/7 (g) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 160*z**2 - 1100*z - 2880.\nAnswer: -5*(z - 18)*(z - 16)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 168*w**2 - 372*w + 418. Give r(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201011111212 - 0?\nAnswer: -1201011111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 2\/713, 2.8 in descending order.\nAnswer: 2.8, 0.04, 2\/713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -7 + 23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 + 168. What is the remainder when w is divided by 31 + 2 + 0\/2 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11*v - 292. What is z(30)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/1*(-3)\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(360\/16) + 346\/(-18). Let f(u) = -u**3 - 19*u**2 - 7*u - 22. Is 13 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.02782 * 42815\nAnswer: -1191.1133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 10*r**2 - 6*r - 14. What is the units digit of v(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 4. Suppose 0 = -5*f + b - 47, -4*f - 26 - 20 = 2*b. Let j be 15\/f*(0 - -2). Let p be n(j). Is p less than or equal to 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-9 - (3 + -5) - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.02, -35, -0.03, -5, -2 in increasing order.\nAnswer: -35, -5, -2, -0.03, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h. Let w(l) = l**2 - 7*l + 13. Let i be w(2). Let n(d) be the third derivative of 2*d**2 - 1\/24*d**4 + 0*d + 0*d**i + 0. Calculate n(g(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78732*d**3 - 13853*d**2 wrt d?\nAnswer: -472392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2088*-58680.\nAnswer: -122523840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 + (-4475)\/75)\/((40\/6)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 125, 281, 499, 779?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.046 times 0.92\nAnswer: -0.04232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 17264502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*z + 11 = 0, -3*d + 0*d = -3*z - 3. Let a(p) = -p**3 + 6*p**2 - 4*p - 1. Determine a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558627 by 3.\nAnswer: 186209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*-1*sqrt(392) - sqrt(392))\/(sqrt(44)\/(sqrt(11) + sqrt(275)*1 - sqrt(11))).\nAnswer: -420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - 5*z - 5. Let j be o(-1). Suppose j*r - 290 = -794. Let y = r + 205. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6596 and 51992?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from ttxttxtt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y*y**(2\/5)\/y*y))\/y)**(5\/16)*y**(4\/5)*y\/y**(4\/3)*(y*y*((y\/(y\/(y\/(y**(-5)*y)))*y)\/y)\/y*y*(y**(1\/4)\/y)\/y)**(-16) assuming y is positive.\nAnswer: y**(-20303\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.67 + -23.77. Let g = s + 23. Let u = -4.2 - -4. Which is the closest to g? (a) -3 (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6105*o**2 + 165*o + 165. Let a(k) = 149*k**2 + 4*k + 4. Let v(y) = 165*a(y) - 4*g(y). Let p(z) = -26*z**2. Determine p(v(d)).\nAnswer: -707850*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -340*d + 2792. Give u(8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-9 + -8 + -10).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3\/3 + 392*j**2\/3 + 772*j\/3 + 128 = 0 for j.\nAnswer: -96, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 - -0.0124.\nAnswer: -1.7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 30549279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - 150*u - 1335. What is h(-12)?\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -2*d**3\/3 - 15. Let a(r) = -55*r. Determine a(j(x)).\nAnswer: 110*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*h + 124*h + 4014 = 0. What is the first derivative of -91 + 4*b**3 + h*b - 459*b - 3*b**3 wrt b?\nAnswer: 3*b**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:12 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-16)*2\/7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 64. Is 10\/r - 1546\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*v - 384*v = -3*s + 7 - 25, -3*s = -3*v + 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -5*u**4\/96 + 7*u**3\/24 + 3*u**2\/16 - 67*u. Factor d(r).\nAnswer: -(r - 3)*(5*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 12, -4 in ascending order.\nAnswer: -4, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-1728)\/(-90)) + (-9)\/(-6).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -61*a + 5. Let t be u(-4). Let x = -140 + t. Suppose 2*q + q = -5*y + x, 2*q = -3*y + 71. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.02891t to nanograms.\nAnswer: 9028910000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 + 2*b - 4. Give w(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 6*n + 2*n)*(0 + 4 - 5)*(-3 + 3 - 2).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b62c (base 13) in base 6?\nAnswer: 3333520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -21. Suppose -i*c - 134 + 24 = 0. Calculate the common denominator of 64\/3 and c\/3 - (-2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwauwyuwwwwyw. Give prob of sequence uu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.414564 litres in millilitres?\nAnswer: 1414.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**3. Let a be l(-1). What is the units digit of 27 - a\/(9\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 0.13. Let g = -4.9 + h. Which is the nearest to 0? (a) g (b) 0.04 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*10.9562\nAnswer: -76.6934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*i - 12095 = -2*o, 0 = -5*o + 2*i + 15140. Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15887.11km to nanometers.\nAnswer: 15887110000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -491 times -0.2867\nAnswer: 140.7697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 83872.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433231265 to the power of 1\/2, to the nearest integer?\nAnswer: 49328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.112794 or 1?\nAnswer: -0.112794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -70.6. Let l = -0.7 - -1.7. Is t at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25604422 or 25604403?\nAnswer: 25604422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 8 + (-5 - -10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5008 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*4*2\/(-9)*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t - 45. Let f(l) = -5*l - 22. Let o(g) = -3*d(g) + 7*f(g). Let u be o(-12). Put -4, 0, u, 3 in descending order.\nAnswer: u, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134.1908 - -612804.1908. Let s = 612670.7999868 - l. Let j = s + -0.8. What is j rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 342 = 4*v, 4*v + 413*j = 410*j - 367. Sort v, 4, 0, -5, -4.\nAnswer: v, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4541 divided by -6\nAnswer: -4541\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32491\/10 - -3245. Find the common denominator of m and -38\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869334 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*g - 68, 2*p - 68 = -4*g + 3*p. Solve 0 = -8*z + 7 + g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -0.412448 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11169112 divided by 9.\nAnswer: -11169112\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/9 (c) 15.6 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.92*0.2.\nAnswer: 0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -3*h**7\/140 + 13*h**6\/180 - 23*h**5\/360 - h**4\/72 - 18*h**2 + 3*h - 3. Let z(m) = 0. Calculate m.\nAnswer: -2\/27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 45045099.\nAnswer: 5\/45045099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-3)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 j, and 1 p when four letters picked without replacement from {e: 4, j: 2, u: 3, p: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/(u\/(u*u\/(u**(-1\/2)*u)*u*u*u)))*u)\/u*u)\/(u**4\/u))\/(u**6*u**2))\/((u*u**(-6\/11)*u)\/u**3*(u**(1\/3))**(-4)) assuming u is positive.\nAnswer: u**(-701\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(272) - (sqrt(425) + -4))**2.\nAnswer: 56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 170, -1\/6, -2.8, -1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 1, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3916*b**2 - 3913*b**2 + 15586*b**2 - 15 + 15 - 3853*b**2 - 3906*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2 - 151884*w - 2430912 = 0. What is w?\nAnswer: -16, 50644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3311*c + 2. Let r be t(-2). Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 301*w - 299*w - 228 + 226 + (3 - 4 - 1)*(3*w + 2*w - 4*w) - w + 3*w - 4*w.\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 6650*v**2 + 1350*v + 4 = 0. What is v?\nAnswer: -1\/5, -2\/665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 - 262?\nAnswer: -2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = 6. Suppose 0*v - y*v = 32. Is ((-1042)\/v)\/(1\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 divided by 53?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 90 = -2*d + 1545773, 0 = -2*d + 10. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(1331) + 3)**2 - sqrt(1331)).\nAnswer: 121*sqrt(11) + 5330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 17\/5, 0.1, 18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgvfgggrtggggggffg. What is prob of sequence fgrf?\nAnswer: 11\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(315\/(-36) + -7 - (-1 + -14)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = -8. Let c = -8 - a. Suppose 3*r + 2*u + 5 = 3, 4*r = 2*u + 16. Put -4, r, c in ascending order.\nAnswer: -4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(-1)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36384903637\/1302 + -27945393. Let q = 28\/31 - c. Calculate the common denominator of q and -1\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148166 divided by 636.\nAnswer: -74083\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -10. Let n(k) = k**2 + 9*k + 7. Let t be n(p). Let s(q) = -67*q. List the prime factors of s(t).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d + 4 - 7*d + 5*d + 5*d to y + c*d and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 67103560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10 + 98\/(-10) - (-6)\/(-3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38.2*17.36\nAnswer: -663.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 - 86*m\/11 - 920\/11.\nAnswer: -2*(m + 20)*(m + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83349*l**5 - 2*l**4 - 66*l**3 + 13592574*l**2?\nAnswer: -5000940*l**2 - 48*l - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2011122221121 (base 3) to base 8\nAnswer: -4317212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2825*h**5 + 2425*h**4*s + 3*h**2 + 25*h*s - 100645 wrt h?\nAnswer: 169500*h**2 + 58200*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -20. What is the nearest to -1 in -1\/2, u, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.29, 301, 1.4, 2\/9, 0.4 in descending order.\nAnswer: 301, 1.4, 0.4, 2\/9, -1.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -20*s**3 + 6*s**2 + 8*s - 38. Let a(v) = 7*v**3 - 2*v**2 - 3*v + 13. Calculate 11*a(g) + 4*w(g).\nAnswer: -3*g**3 + 2*g**2 - g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 11:43 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 4*w**2 + 2*w**2)*(w - 7*w + 5*w) + 7*w**3 - 306*w + 306*w + w**3 + 18 + 16 + 18*w**2 - 36.\nAnswer: 6*w**3 + 18*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21158 + -17004.\nAnswer: 4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000086968 rounded to seven dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 21236 + 2*m**3 + 244*m - 244*m - 4527 as u*m**3 + f + z*m + y*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/24 + 5*k**5\/12 + 5*k**4\/3 + 10*k**3\/3 - 142*k**2. Factor h(v).\nAnswer: 5*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 72) + 7 + -39 + -8 + 58\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + 28*a + 4. Calculate the remainder when 10 is divided by j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**2 - 7*j + 27. Determine x(5).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/3)*o**(-3)*o**(6\/5)*o**(-2\/7) assuming o is positive.\nAnswer: o**(-149\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/42 and 8709 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 10*a**2 + 10*a - 3. Let c be j(9). Let z be c\/(-4) + (-42)\/(-4). Solve 3*l + z = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 0*a**3 + 91*a**3 - a**3.\nAnswer: 99*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 - 2*p - 45. What is u(0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.2 (c) 12661\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -196. Let v be (-16)\/g + (-4)\/(-6). Which is bigger: 0.04 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*o + 12, -32*o + 33*o - 10 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107765192.\nAnswer: 2, 103, 130783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 5*i + 36, -456 = a + i - 460 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 8. Let l be 161\/(-46)*(-4)\/14*7. Determine q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(36)\/sqrt(6) - (sqrt(24)*1)\/sqrt(4))\/(sqrt(3) - sqrt(12)*2 - (sqrt(48) - sqrt(1200))).\nAnswer: 5*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67453759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29049 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26476 + 27291. What is the remainder when g is divided by 245?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/n**(-3)*(n**1)**17 assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 9*y**2 + 16*y - 8. Determine x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -131*m + 4934. Calculate q(49).\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + k + 3*k**3 - 7*k**3 + (-k + 6*k - 4*k)*((0*k + 3*k - 2*k)*(-3 - 2*k + 3) + 3*k - 3*k + k**2 + 3*k**2 - k**2 + 3*k**2).\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 27, 41, 51, 57, 59?\n\"Answer: -2*s**2 + 24*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -187\/4, -1\/2, -2, 2\/15 in descending order.\nAnswer: 2\/15, -1\/3, -1\/2, -2, -187\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-1) + -1 + 2. Let n(w) = -w**3 - 7*w**2 - 2*w - 13. Let j be n(a). Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*f + 326, f + 0*c + c = -67. Let y(j) = -j**2 + 32*j + 41. Let q be y(24). Let m = f + q. Is 40 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/4 - 4*b**3\/3 - 10*b**2 - 3*b - 4. Differentiate r(g) wrt g.\nAnswer: -6*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {o: 1, g: 2, r: 6, b: 2, n: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 207346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*((sqrt(153)*5 + 2 - sqrt(153)) + sqrt(153) + 2*(sqrt(153) - (sqrt(153) + 2 - sqrt(153))))**2)*3 + 2.\nAnswer: -90010 + 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 31 - 49 = 42*h + 223, -5 = 3*j + 3*h - 65 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqmjmqlljlmeree. Give prob of sequence eemm.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -408?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -6 - 1) + 0 - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4794 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 - 40 + 35 + 5 + 24*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/39 + -4\/13. Put 3, m, 1\/5, -2\/3 in descending order.\nAnswer: 3, m, 1\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1878\/4)\/(3\/4) - -4. Find the common denominator of 105\/34 and 2\/(-10) - (-4291)\/r.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22695460?\nAnswer: 2, 5, 227, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0149122091 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:01 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -19*q**2. Let h(y) = 17*y + 72. Let t(g) = -594*g - 2508. Let w(c) = -209*h(c) - 6*t(c). What is i(w(n))?\nAnswer: -2299*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 9 - (-5 + 3 + (19 - 8))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 4, d: 2, c: 1, t: 1}. What is prob of picking 1 t and 2 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -22*b + 385. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*j - 366, 185 = -5*r + 4*r + 2*j. Let n = -117 - r. What is the highest common divisor of n and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 310472766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -73. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 - 3219*l**2\/2 + 435744*l - 2138670.\nAnswer: 3*(l - 534)**2*(l - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-1)\/1) - -2. Let c(v) = -5*v**2 - 2*v - v**3 - 5 - 2*v**2 + q*v**2. Let h(l) = l**3 + 3*l**2 + 2*l + 1. Let a be h(-3). Give c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22445512?\nAnswer: 2, 2805689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16045 is divided by 814?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*b + 6*b - 42*b + 102 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 5*i**2 - 3*i - 59. Calculate l(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3197 = -14*q + 3239. Let b(u) = -u**3 + 4*u**2 + 6*u - 2. Let w be b(5). Solve -z - q*z + w*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -54*i**2 + 7*i - 7. Let n(o) = -18*o**2 + 2*o - 2. Calculate 14*n(p) - 4*q(p).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 18. Let b = g + -5. Let q be 27\/(3\/(b + 3)). Calculate the highest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 2*b + 3. Let s be f(0). Let n(c) = -6*c**3 + 3*c**2 - 3*c + 5. Let x(t) = -t**3 + t**2 - t + 1. Give s*x(p) - n(p).\nAnswer: 3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(180) + sqrt(180) + 2) - (1 + sqrt(180) + -5))**2.\nAnswer: 288*sqrt(5) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 9*c**2 + 16*c - 15. Let h be o(7). Let b = 9.2 + -0.2. Let w = b - 7. What is the closest to -4 in 4, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**5\/30 + r**4\/8 + r**3\/6 - 11*r**2\/12 + r + 24. Factor w(l).\nAnswer: -(l - 3)*(l - 1)**2*(l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 815.91?\nAnswer: -815.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-35) + 9\/5. Find the second derivative of n*m**5 - 4*m - 4*m + 4*m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 9:43 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1569*r + 10447. Let v(q) = -269*q + 1741. Give 6*l(u) - 35*v(u).\nAnswer: u + 1747","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 466520\nAnswer: 139956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/11)\/(280\/(-8))*2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l + 96. Calculate v(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 times 17.3?\nAnswer: 6.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 9331133.502?\nAnswer: -9331129.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*31\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -3. What is the smallest common multiple of 26 and t?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 58*b**2. Let h(o) = -82*o**2 + 3*o + 168. Let k(c) = 10823*c**2 - 395*c - 22120. Let g(v) = 395*h(v) + 3*k(v). Determine g(y(w)).\nAnswer: 265756*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/5 + 67228*m**4\/5 - 40324*m**3 - 309208*m**2 - 2218298*m\/5 - 941108\/5 = 0.\nAnswer: -2, -1, 7, 33611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(-14)\/((-98)\/21)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x = -3*p + 2193, 0 = 2*p + 4*x - 1444. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5953 + 13879. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.260025.\nAnswer: 0.052005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1700 divide 55602521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 864 divide 5019975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -11, -2.1, -0.06, 0.3, 0, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 45*r - 3. Let j be a(2). Suppose m + 2*m - j = 0. Calculate the remainder when m is divided by 35*(-8)\/(112\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 835*r**3 + 34*r + 15 wrt r.\nAnswer: 12*r**2 - 5010*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + -52 - (-50 + 49)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 492755880 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366592 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 0.5. Let s = k + 0. Let w(h) = h**3 - 8*h**2 - 2*h + 8. Let g be w(8). Which is the closest to 2\/3? (a) g (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**2. Let d(n) = 90*n**2. Calculate -4*d(s) + 54*t(s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**3 - 4*c**2 + 2*c. Let f be x(1). Let l(u) = -u**2 - 7*u - 7. Let h be l(-5). Factor 7*k**2 + 3*k**4 + 4*k**5 + 3*k**h - 3*k**5 - f*k**2.\nAnswer: k**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/3*66\/4. Let j be t\/(-12) - 4\/(-6). Let g = -5601 + 5601. Put 5, j, g in increasing order.\nAnswer: g, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 16. Factor 17*i**2 - z*i**3 + 2*i**5 - 17*i**2 + 2*i.\nAnswer: 2*i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:43 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 4)*(2 + f - 2) + (-f + 0 + 0)*(4 - 2 + 0) - 3*f - f - f as n*f + u and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 1117.\nAnswer: 11\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3225)\/(-5375))\/(-5*(-4)\/30*-18)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/2 - 25*j**3\/2 + 47*j**2\/2 - 23*j\/2 = 0 for j.\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/29? (a) -1\/10 (b) 94 (c) -2522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 5*l + 12. Suppose 4*t + 20 = 0, -l*n + 4*t + 23 = -6*n. Is (12\/(-16) - 131\/(-4)) + n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.0524, -23398, 0.5, 0?\nAnswer: -0.0524","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - -49 - (1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 17 = -5*g - r, 4*r = 4*g + 4. Suppose -6*f + 22 - 136 = 0. Let d be 2 - (-3 - f\/4). Which is the third biggest value? (a) 0.2 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 + -154. Let j be s\/(-150) + 24\/5. Suppose j*h = 2*d + 32, -d + 2 + 18 = 4*h. What is the highest common factor of 15 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 12. Let w(q) = q**2 + 6. Let k be (5 + 1)\/(-2) - 4. Let d(u) = k*w(u) - 4*n(u). What is d(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 57. Solve -5*l + 11 = u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -9, 36 in decreasing order.\nAnswer: 36, -9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 24. Let j = -1.02 - -0.72. What is the second smallest value in -1\/7, x, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, -1\/2 in decreasing order.\nAnswer: 2, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (4 - 3 - 4). What is the greatest common factor of t and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let s = 156 + -156. What is the closest to y in -0.2, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (38 - 18)*2\/10. Let c(g) be the second derivative of 1\/4*g**h + 0*g**2 + 6*g + 1\/2*g**3 + 0. Factor c(a).\nAnswer: 3*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -11*w**3\/6 - 5*w**2\/2 + 3*w. What is the remainder when s(-6) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*b + 10107 = -42224 + 5087 + 3532 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 602?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 128*a**2 + 132*a = 0. What is a?\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 150, 356, 578, 816?\n\"Answer: 8*y**2 + 182*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2737\/138 - 22)\/((-2)\/24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 4*d**2 + 4*d**2)*(85*d - 58*d + 73*d)*(0*d + 3*d + 0*d).\nAnswer: -300*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)**(-4\/5))**(-1\/27) assuming x is positive.\nAnswer: x**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, 6, -18, 4, 6\/7, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37, 0.2, -2\/23, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1840 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a. Let p(q) = -30*q + 35. Let u(o) = -5*o + 6. Let t(k) = -6*p(k) + 35*u(k). Determine t(n(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.3 + -22.3. Let h = 23 + o. Which is the closest to 0? (a) h (b) 2\/19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)*d*d**(1\/9)*d**(-3\/8)*d**7 assuming d is positive.\nAnswer: d**(197\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:17 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 7:13 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2842ac + 0?\nAnswer: -2842ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3953845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**3 + 8. Let u(v) = -11*v**2. Calculate 7*n(l) - 4*u(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let k be (-5)\/(1*(w + 0)). What is the second derivative of 0*b - 2*b**k + 3*b + 4*b**5 wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 5*y - 12, 18*p - 22*p - 12 = 2*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 44*q**2 - 120*q + 904. What is u(-17)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6346427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 124107913497.\nAnswer: 124107913496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from uubzuwn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = 28. Let n = -38 - -23. Let b = n + z. Calculate the remainder when 50 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - (1246245\/255)\/77.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4281325405 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67696 is divided by 11278.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-12) - (-2)\/6. What is the nearest to 2\/23 in f, 4, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 734 or -3.2?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - -164. Let s = -136 + i. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + k = 5*v, 0 = -3*v - 5*k. Let q be v\/((-6)\/9*3). Suppose -1 = r - 4. Solve q = r*l + l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3733095.183 to the nearest one hundred.\nAnswer: 3733100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281 * -0.4.\nAnswer: 112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 24 - (1789 - 1810)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35828767 divided by -5\nAnswer: 35828767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three quarters of a millennium?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 0, -10, 59, 3 in ascending order.\nAnswer: -10, 0, 3, 5, 10, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 7*x + 2*x + (-1 + 1 - 5*x)*(-3 - 4 + 5))*(-5 + 3 + 0) to the form c*x + g and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3851070.13 rounded to the nearest one thousand?\nAnswer: -3851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.437 + 0.44298. What is x rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**3 - 12*a**2 + 120*a. Let g(f) = 20*f**3 + 34*f**2 - 361*f. Calculate 6*g(b) + 17*n(b).\nAnswer: b**3 - 126*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -9. List the prime factors of 4 - (3\/b - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 + 12*v - 33. Determine h(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/8 - (-10)\/4. Suppose z*n - 7*n + 80 = 0. Suppose -t = -5, -n = -2*r + 4*t - 8. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 + 15*h**3 - 27*h**2 - 135*h = 0?\nAnswer: -5, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-64)*6220\/1866?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 6 = 0. Let o(s) be the first derivative of 2*s**3\/3 - 5*s**2 + 5*s + 74. Calculate the remainder when o(7) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25207 is divided by 1047.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-52)\/(-44) - (-369)\/33. What is the second derivative of 26*j**2 + 15*j - l + 9*j - 28*j wrt j?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 8376410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 10110000122?\nAnswer: 10110000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most -29\/1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001064 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 1 (c) 4 (d) -35 (e) 134\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033.\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.900168 + 2.9. Round r to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:47 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.3 + 24.48. What is x rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.161102 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 14*u**2 + 16*u - 11. Let m be 2 + 2 - (2 + -11). Let a be n(m). Calculate the greatest common divisor of 252 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*t - 27 = 0, 0 = -h - t + 4*t - 5. Let x = 1 + -2. Let p be (-5)\/(-2) + x*2. What is the second biggest value in p, 0.4, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Let b = 5 + -2.9. Let t = -0.1 + b. Sort -0.4, s, t in increasing order.\nAnswer: -0.4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180865319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3490.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109424 (base 10) to base 2.\nAnswer: -11010101101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 3*v**3 + 5*v**2 + v**4 + 3*v + 0*v**2 + v**3 as r*v**4 + f*v**2 + j + i*v**3 + m*v and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(321 - 173 - 148 - 6426*m)*(m + 4*m - 3*m) to w + b*m**2 + u*m and give b.\nAnswer: 25704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2 (b) 3 (c) 6636 (d) -5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 13, 3, 1, 45005.\nAnswer: 1, 3, 13, 18, 45005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d**2*p**2*t - 7*d**2*p + 57*d**2 + d*p**2*t - 5*d*p**2 + 2435*t wrt t?\nAnswer: 6*d**2*p**2 + d*p**2 + 2435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 30. Suppose -16*m + 13*m = -z. Let a be (6 - 6)*(m - 0). Solve a*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, -6, -62, -176, -366, -650, -1046?\n\"Answer: -3*l**3 - 2*l**2 + 11*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.06 and 0.5?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h + 7. Let b(j) = -5*j - 3. Let p(g) = -13*g + 53. Let o be p(3). What is o*b(a) + 6*k(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 14*r + 5 + 9 - 3 - 12*r**2 - r**3. Let j be n(-13). Is j\/(2\/1) + 7 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.04328 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 5. Let n(l) = -3*l - 9. What is 3*n(z) - 5*w(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1812886.9 to the nearest ten thousand.\nAnswer: -1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, u: 1, a: 1, y: 1}. What is prob of picking 1 y and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-26)*z*z**(-1\/3))\/(z**(-1\/4)\/z**(-7\/5)) assuming z is positive.\nAnswer: z**(-1589\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*h**3 + 7 + 27*h**3 + 14*h - 6 in the form o*h**2 + w + z*h + j*h**3 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:25 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 7*z + 1. Calculate o(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6599 (base 11) to base 2\nAnswer: -10000111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2616551 (base 8) to base 15.\nAnswer: e5c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i - 1. Let p(v) = v**3 - v**2 + 19*v - 7. Let u(h) = -35*f(h) + 5*p(h). Factor u(w).\nAnswer: 5*w*(w - 6)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786298884?\nAnswer: 2, 3, 7, 23, 53, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(136\/3672).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*x - 15280 + 5098 + 5089 + 5093.\nAnswer: 231*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5078.052 meters in centimeters?\nAnswer: 507805.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*o - 1706, -10*t - 4*o + 2865 = -5*t. List the prime factors of t.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, c: 7}. Give prob of picking 2 c and 2 h.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3470 - -3463. What is the closest to -1 in 0.4, 36.5, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/3943 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(5\/2)\/5. Let x = -8.4 - -13. Let i = x - 5. Which is the closest to j? (a) i (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 208 - 3*c**2 - 208. Let b(g) = -g**2. Determine t(b(h)).\nAnswer: -3*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 11 + 14)*((3 + 0 - 1)*(4*v - 4*v + v) + 0 + 0 + 2*v + 2*v - 7*v - 13*v) in the form s*v + b and give s.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -30*f + 3. Let d(i) = -120*i + 11. Let p(m) = 2*d(m) - 9*g(m). Let r be p(2). Let u = -39 + r. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 3*o - 5. What is the remainder when q(13) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-14) + 3)*-7. Let p = g - -7. Let u = -4 - p. Is 2\/11 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87\/4 + -22. Let u = o - 7\/12. Let s = 17 - 12. What is the second biggest value in -0.1, s, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31970.\nAnswer: 2, 5, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8512 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7081 and 1168.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 8:20 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 6*t - 7*t - 5*t - 4*t - 3*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 5501*v\/2 - 2782220.\nAnswer: -(v + 1336)*(v + 4165)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/87732703?\nAnswer: -3\/87732703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1140 and 1539.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 x, and 1 a when four letters picked without replacement from axaox.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49\/6*f**2 - 21*f - 27\/2 = 0.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-405)\/(-105) - 4) + -34.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l. Let t be 2\/(-2) + (-8)\/4. Let r be m(t). Let f = r + -3. Calculate the least common multiple of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*130376\nAnswer: -19556.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 3121333213?\nAnswer: -3121333221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(260\/117).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 118.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2692, -1, -5, 3, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/174 and -95\/4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3795 + 3924. Calculate the highest common divisor of 215 and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04317 - 2.03383. Let c = -0.023 + v. Let j = 2.13 + c. Which is smaller: 0.5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 62*j - 1793. Determine c(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {w: 3, p: 1, i: 1, b: 2, d: 4, n: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*((p*p**(-17\/3))\/p)\/p)*p*p*p**(-18)*p**(6\/11)*p*p**1 assuming p is positive.\nAnswer: p**(-191\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -702475 - 8608*q - 2755*q + 702475 as o*q + b and give o.\nAnswer: -11363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*a - 2589, 2*a + a = 3*b + 7803. Let d = 18282\/7 + b. Let s = 52\/7 - d. Put 0.3, s, 0.4 in descending order.\nAnswer: 0.4, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from ieieiseiee?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 12*m + 24. Let r be 11 + -2 + (1 - 4). Suppose 3*v - r = 24. What is the units digit of g(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:14 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -513*w**5\/10 + 243*w**2 - 1027*w. Find the first derivative of l(h) wrt h.\nAnswer: -3078*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-20) - 6\/(-8). Suppose -1 - k = -l. Factor 0*b - 1\/2*b**l + 1\/4*b**3 + 0.\nAnswer: b**2*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40983658279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -739356, -739358, -739360, -739362, -739364, -739366?\nAnswer: -739368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 50, 98, 156, 218, 278?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0)\/((-13)\/26). Calculate the greatest common divisor of q and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - ((-2142)\/105 - -14). What is the nearest to -3\/7 in 0.1, h, 2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -340\/128579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.02071 - 0.02071. Which is the nearest to -1? (a) 143 (b) v (c) 4\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide (-29718520)\/(-1005)*(-3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = 5*o + 4*x - 9*x - 255, -o + 116*x - 19 = 100*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, u: 9, k: 2}. Give prob of picking 1 u and 2 a.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -5 (b) -37 (c) -1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*((1 + (sqrt(11) - sqrt(11)*-1) - sqrt(44)\/(sqrt(24)\/sqrt(6))) + -1) + 5.\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48250 = 1557*s - 38942 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Let y = -0.8 + 0.6. Let a = y - 0. Is s at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15091470291.3 and -57.\nAnswer: -15091470348.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -3)*396\/4. Let f = m + 105. Calculate the highest common divisor of f and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 179\/12, -1, 2, 55\/7 in ascending order.\nAnswer: -1, 2, 55\/7, 179\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 8*w**2 + 5*w - 2. Let n be f(7). Let g be 4*(-4)\/n - -1. Solve -3*s - 22 = j + g*s, 0 = -s - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24*21*6\/(-264). Let z = 1748\/143 + o. Solve -z*m - 2\/13*m**3 - 4\/13 - 8\/13*m**2 = 0 for m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {a: 5, f: 2, l: 1, w: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 399 - 375. Suppose 4*b - 26 = 2*j, -27 + p = j. Let d be -4 - (13\/(-1) - -4). Solve -3*q = -5*t + 3, -b*q - t = 2*t + d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 1, f: 1, u: 3, l: 2, a: 1}. Give prob of picking 1 f and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/1144*-4*-44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -653.1 - -654.8341. What is c rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -19773*t**4 - 12675*t**3 - 2613*t**2 - 213*t - 6 = 0.\nAnswer: -1\/3, -2\/13, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -21*s**2. Let k(z) = 7*z**2 - 5*z - 5. Let u(r) = -8*r**2 + 6*r + 6. Let x(i) = -6*k(i) - 5*u(i). Determine n(x(a)).\nAnswer: -84*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(z**5 - 2*z**5 + 2*z**5) + (0*z**3 + 0*z**3 + z**3)*(2*z**2 - z**2 - 4*z**2).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, i: 2, z: 1, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1055 - 5251\/5. Factor u*s**2 + 12\/5*s + 2\/5 + 4*s**3 + 6\/5*s**4.\nAnswer: 2*(s + 1)**3*(3*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:11 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 22*c + 25*c + 0*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.1, -0.5, -1\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 3:13 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -6.9. Let l = -0.1 - u. Suppose -3*s - 14 = -5*f, 4*f + 3*s + 1 = 23. Which is the third biggest value? (a) -0.4 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - (-216 + 211 - (8 - 0) - -15).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 86*r**5 + 3*r**2 - 64*r - 10. Let u(c) = 87*c**5 + 2*c**2 - 62*c - 7. Let g(x) = 3*u(x) - 2*v(x). Find the second derivative of g(m) wrt m.\nAnswer: 1780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162.24 times -0.1\nAnswer: 16.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-10 - (-20 + 19 + -15) - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 0*t - 13449 + 6329 + 7120 + 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*u = 14, -u + 13 = -2*o - 3. Is -8 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**6\/120 - 7*p**5\/30 - 3*p**4\/8 - 39*p**3\/2 + 3194*p**2. Calculate b(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**4 - 30*u**3 + 441*u**2 + 5268*u + 8580 = 0.\nAnswer: -11, -10, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 31.\nAnswer: -17\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-14))\/((-184)\/(-35) + (-310)\/775). What is the third biggest value in g, -0.5, 4, 6.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (8 - 16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104796?\nAnswer: 2, 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/4 + -161\/36. Let k = -78 + 81. Suppose 8 - 2 = -k*x. What is the third smallest value in x, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 3*h - 6. Let c be w(-5). Suppose -2*j = -7*u + 3*u + c, -u + 3*j = -6. What is the lowest common multiple of 12 and 46\/1 - (u - -2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 3*c - 3*c - 201 + 201.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 54*b**2 + 72*b - 303. What is the tens digit of z(-43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x + 46 = -2*v, -5*v + 2*x - 67 = 0. Let t = 19 + v. Solve g + 2*k - 10 = t*k, 3*g = 3*k + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 9:16 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*h - 22, h = -2 + 1. Suppose 6*d - c = 34. Calculate the remainder when 29 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*k = -36, -12 = 4*c + c - 2*k. Let b = c + 3. Is 15 a factor of 34\/2 + (b - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:33 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -749*p**4 + 11128 wrt p?\nAnswer: -2996*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 2. Let p(x) = -x**3 + 3. Let w(y) = -2*y - 6. Let c be w(-4). Calculate c*p(g) - 3*r(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32804.\nAnswer: 2, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*((sqrt(13) + sqrt(13)*3)**2 + -2) + (sqrt(1573) + 2)*-3).\nAnswer: -66*sqrt(13) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3606741 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 920 = 3*u, 5*d + 1535 = u + 4*u. Calculate the remainder when u is divided by 79.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 538648?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 381139\/14 + -27210. Let x = -487\/84 + b. Calculate the common denominator of x and 642\/60 - (8\/(-5) - -2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/a**(-2\/15)*((a\/a**(-2)*a)\/a)**(1\/5))\/((a**(-2\/3))**(39\/7)*((a*(a*a\/(a**(2\/3)\/a))\/a*a)\/a)**(8\/9)) assuming a is positive.\nAnswer: a**(2621\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/504 + t**5\/20 - t**4\/12 + 3*t**2. Let p(i) be the second derivative of n(i). Differentiate p(a) wrt a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-5)*2\/(-4)*4\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/1025266181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13875?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Let z(k) = -5*k - 13 - x*k - 2 + k**2. Determine z(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 13 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2\/3 - 26887224*q + 271096055409816 = 0.\nAnswer: 20165418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 22 - -1 - 5. Let p be (-1)\/(-1) - m\/(-15). Let c(z) = -1 - z**3 - 8*z**p + 6*z**2 - z**2. Calculate c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000238780197 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*v = -36, -10 = -4*y - 5*v + 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 14*c + 30. Calculate n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + 800\/(-150).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -366 + 365.6. Let i = -4 - 1. Which is the second biggest value? (a) i (b) 2\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q*u**2*x**3 + 5*q*u**2*x + 2*q*u*x**3 + 2*q*x**3 - 36*q*x**2 - 2*u**2*x**3 - u*x**3 wrt u?\nAnswer: 8*q*x**3 + 10*q*x - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 387618 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149121 and 30.\nAnswer: 1491210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-5 - (8 + -17))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/66 and 97\/1848?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 5750. Let q(r) = -5*r - 28750. What is -3*q(y) - 16*v(y)?\nAnswer: -y - 5750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4888005 to the power of 1\/2, to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90.3 or 14738?\nAnswer: 14738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 7?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110303110 + 5?\nAnswer: -110303102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-30)*8\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3557*j - 3557*j + 88*j**2. Let m(h) = 2*h. What is i(m(w))?\nAnswer: 352*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 22010*m + 22015.\nAnswer: -5*(m - 1)*(m + 4403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/3 + p**4\/6 + p**3\/3 - 2152*p**2. Let d(n) = -59*n**2 + 11*n + 5. Give -4*d(q) + 11*y(q).\nAnswer: 16*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -3\/2 (c) 3 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 4*r - 3. Let y be b(2). Let w = y - -4. Solve -w*v + 23 = u, -5*u + 19 = 3*v - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/(l\/(l\/l**(1\/36))))**25 assuming l is positive.\nAnswer: l**(-925\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17816253*o**2 - 1457072*o.\nAnswer: 35632506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/10 (b) 5.08 (c) 9 (d) 213 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (11 - 2) - 4\/(-4))*-17 + 2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -3*l + 2*d, -l - 5*d + 2 = 0. Let i be ((-4)\/(-6))\/(2\/(-6)). Let m be i*(-7)\/2 - 2. Put -5, m, l in decreasing order.\nAnswer: m, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -64571.\nAnswer: -2\/64571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122 - 5?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16759\/8 - 11981821\/5720. Let i = n - -2\/65. Let z = -0.1 - 0.9. Sort -2\/3, z, i in descending order.\nAnswer: i, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4384\/5, 224, 4?\nAnswer: 4384\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 16*r**2 + 20*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -62*g**7\/147 - 128*g**6\/105 + 24*g**5\/7 + 10*g**4\/3 - 178*g**3\/21 - 12*g**2\/7 + 1336*g. Determine m, given that q(m) = 0.\nAnswer: -3, -1, -2\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84744 and 84744.\nAnswer: 84744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9720, -19480, -29240, -39000?\n\"Answer: -9760*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -879 divided by -879?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 3*v**3 - 7*v**3)*(4 - 53 + 21).\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/15 - (-112)\/(-840)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 1197.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -941, -1421, -1917, -2435, -2981?\nAnswer: -3561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -159, -161, -163, -165?\n\"Answer: -2*z - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-3315))\/(232\/(-3944))?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**3\/2 + n - 2880. Let c(x) = 2*x**2 + 231*x + 2. Calculate d(c(y)).\nAnswer: -6*y**2 - 693*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 308 + -1 + 3*(-5)\/15. What is the units digit of n + -1*(3 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4720 (base 16) to base 10.\nAnswer: -18208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3346*f*j*z - 2*f*j + 3*j*z**2 + 5914*j*z + 22*j - 695605 wrt z.\nAnswer: 3346*f*j + 6*j*z + 5914*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/6)\/(3\/36). Find the second derivative of 0*m + x*m + 5*m + 8*m**3 wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -128\/9 (b) 1 (c) 3 (d) -3 (e) 164.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 308*t - 7516. What is o(-37)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 0.09 (b) -0.2 (c) 180 (d) 2\/17 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02165464575 to 4 dps.\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/7 - 209*d\/7 - 26522\/7 = 0. What is d?\nAnswer: -89, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4294735.\nAnswer: 5, 157, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1001100?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-52) - 33810\/4186\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 = -q, 4*q + 0*v - 5*v = -7. Let d = 5 - q. Let p(l) = d*l + 2*l - 4*l. Let u(g) = -g**2. What is p(u(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:50 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1275.921s to minutes.\nAnswer: 21.26535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*s + 1 = -4*s, -3*s = 4*o - 9. Suppose -2*d = -o*d. Suppose d*v - 3*v + 141 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - y - 7*y to r*y + w and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20*j + 185. Is f(30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q - 33*q + 24*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 14. Let r(b) = -12*b + 42. Let w(j) = -r(j) + 3*s(j). Let h(u) = u + 786. Determine h(w(c)).\nAnswer: 3*c + 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 22 + 1\/12*m**2 - 1\/18*m**3 + 0*m. Factor l(k).\nAnswer: -k*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17573183 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1689.103450112 and 7.\nAnswer: 1696.103450112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110101011011100001010 - -10?\nAnswer: 111110101011011100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*o - 2*o - 2*o) - 2*o - 1 + 1 + (3*o - o + 2*o)*(-6 + 4 + 1).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 475770.2 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 27919.0920188?\nAnswer: -27915.0920188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/48 and -157\/136752.\nAnswer: 136752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1725205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.3, -0.09, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 3, b: 4}. What is prob of sequence lyll?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 634242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 + -138. Let x = l - -260. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/236, 2\/7, -3\/5, 0.03.\nAnswer: -3\/5, -0.1, 1\/236, 0.03, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + m + 655 - 262 = -4*h + 214, -m - 5 = 0 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1. Let o(s) be the first derivative of -s**2 + 4*s + 2. Let r(j) = o(j) - 4*x(j). Let n(w) = -2*w. Calculate r(n(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9210 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/9, 70, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:47 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4 (c) -1\/4 (d) 0.4 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1\/3, -2\/5, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667738 divided by -10?\nAnswer: -333869\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273, 1065, 2379, 4215, 6573, 9453?\nAnswer: 12855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7683 is divided by 152?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*g + 3*y, 0 = 16*g - 20*g + y - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2606197.99942 - 2606221. Let x = b + 23. Round x to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 17*z + l + 1 = 0, 0 = -5*l - 6 + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -18. What is the smallest value in -4, -2\/9, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (-16 + -38) - 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -2*h**4 + 4*h**3\/3 - h**2\/2 + 3*h - 2714. Determine f(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 2*p - 4*p. Let f(s) be the second derivative of -5*s**3\/3 + 6*s - 6. Calculate q(f(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 8*x**2 - 8*x - 24. Let a be v(-6). Solve 2*y - a = -92 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11850757.4 rounded to the nearest 1000?\nAnswer: 11851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -21*b**2. Let v be 3 - (-1 + -1 + 2). Suppose 0 = v*j - 7*j + 80. Let w(s) = 20 - j - 2*s. Give w(d(l)).\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 10 + 10 + (-3*n + 4*n - 2*n)*(5 - 3 - 1).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2351, 1647, 943, 239, -465, -1169?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 196, 0.1, 0 in ascending order.\nAnswer: -0.1, 0, 0.1, 3, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22525 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.22 and -156.\nAnswer: -156.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110978\/17 + -6528. Let l be 2\/(5\/2 - 2). Let w = l - 3. What is the closest to 0 in n, w, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**3 + 2*f - 3. Let r(k) = -2*k**3 - 26*k**2 - 27*k - 9. Let t be r(-12). Let b(q) = q + t - 52 - 2*q**3 - 4*q**3 + 23. Calculate 3*b(v) - 2*d(v).\nAnswer: -4*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874158.666 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101101010001110011011 + -1010?\nAnswer: 1001101101010001110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 + 7*j - 4. Let u(o) = 4*o**3 - 6*o + 3. What is -5*d(i) - 6*u(i)?\nAnswer: -4*i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 168.103 milligrams?\nAnswer: 0.000000168103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5190 + -5189.9. Let n be (-8)\/(-86)*11\/22. What is the nearest to n in v, 0.4, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j*j**(-1\/2)*j*j)\/j)\/j))**43*(j**(-2\/23)\/j)\/(j**(-1)\/j) assuming j is positive.\nAnswer: j**(1031\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57182, 114448, 171796, 229226, 286738, 344332?\nAnswer: 402008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11865 and 1365.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298*z**3 + z**2 - 171*z**3 - 4*z**2 - 7*z**2 - 26*z - 50*z**3 wrt z?\nAnswer: -3114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 - 15*j**4 + 9*j**3 + 15*j**2 - 12*j = 0. What is j?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16170 from -159.\nAnswer: -16329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.09 (b) 10\/121 (c) -1\/3 (d) -0.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.17, -1, 533.88?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, q: 9}. Give prob of picking 2 q and 1 y.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 304.86815 and -4?\nAnswer: -1219.4726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 1. Let u(z) = -4 - 2 + 4 + z. Let r(i) = -4*f(i) - u(i). Let s(q) = q + 1. Determine r(j) + 3*s(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1957 = 725*a - 218. Solve -6*t + a*t = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 643359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - g + 4. Let j(m) = 2*m**2 - 5*m - 11. Let y(d) = -d**2 + d + 1. Let q(r) = -j(r) - 6*y(r). Determine 3*k(o) - 2*q(o).\nAnswer: o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -317 - -502. What are the prime factors of b?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7920\/100)\/(-22)*8\/(-24)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21126 and 78468?\nAnswer: 549276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604378267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1209538616 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-152)\/((-5624)\/(-74)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 22. What is the remainder when 6\/2 + (56 - 6) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852 = 5*k - 5*v + 907, 3*k - 4*v = -0*k - 39 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -4 (c) -1\/2 (d) -0.1 (e) 20\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + -6 + 13 + -7 + 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r. Let v(d) = 12960*d - 14. Give v(c(t)).\nAnswer: 77760*t - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s + 30. Let f be p(-10). Let o be 2\/(-40) + (-1 - 32\/f). Which is the closest to -1\/3? (a) 0 (b) 8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-858)\/(-18) - 1)\/((-18)\/(-99) - 84\/99)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vylvyzylynyyyx. What is prob of sequence ylzl?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 98*q**3 + 3919*q**2 - 43*q - 127. Calculate h(-40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j, 5*j - 4 - 6 = -5*m. Let s(i) = -i**3 + 7*i**2 + 7*i - 6. What is the tens digit of s(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6118 is divided by 5572.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y - 412*y**3 + 8*y + 30*y + 2*y**4 - 56*y**3 + 66*y**3 wrt y?\nAnswer: 24*y**2 - 2412*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) -2\/11 (c) 1 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 358\/14 + 4*3\/28. Suppose -o = -5*l - 1. Suppose -3*f - l*a = -275, -5*a + a - 103 = -f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19707*j - 19739*j = -8256. Calculate the smallest common multiple of 12 and j.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(495))\/((sqrt(105)\/sqrt(3))\/sqrt(7)) + -4 + (sqrt(539) - -1*sqrt(539)) + sqrt(539) + 5.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) -1\/6 (c) 1\/4 (d) 0 (e) -3049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d - 5. Let n = d + 1. Factor 13*m**2 - 48*m + 12 + 10*m**2 + n*m**2 - 5*m**2.\nAnswer: 3*(m - 2)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-1) - (-1)\/1. Let o(p) = -p**2 - 9*p - 9. Let c be o(-6). Let l = -6 + c. What is the greatest common factor of l and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55669634 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -130326.995 rounded to the nearest one thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 17*p + 10. Calculate n(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/99 and -179\/337194.\nAnswer: 337194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71048158, -142096316, -213144478, -284192644?\n\"Answer: -2*h**2 - 71048152*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/10*(-8)\/(-96)*20.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 3*n = 10*t + 25, 0 = -5*t + 5*n + 75. Suppose -l + 11 = 2. Are t and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1416 and 281340084.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147069 is divided by 73487?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0 = -6, 5*g - 4 = -3*h. Suppose y + 2 = 0, 106 = 4*j - g*y - 3*y. Let s = j + -15. What is the highest common factor of s and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*a*q**3*u - 23*a*q**3 - 1527*a*q**2*u - 4*a*q**2 + 2*q**3*u + q**3 wrt q?\nAnswer: -210*a*u - 138*a + 12*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 4. Determine r(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166717038 by 67.\nAnswer: -2488314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 - 53*a - 18. Let k be z(-17). What is the greatest common divisor of 104 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*sqrt(12) + 5*(-1 + sqrt(3) + sqrt(3)) - (-1*sqrt(192) + 3 - (sqrt(192) - 2*sqrt(192)*2))**2.\nAnswer: -787 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 5*z**2 - 4*z**2)*(-4*z + 4*z - z)*(0 + 2 - 1)*(3*z - 4*z - 4*z).\nAnswer: -35*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = 0. Solve 0 = 4*o - 5*z - 20, -2*z - 15 = -3*o - q*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171) - (2 + sqrt(171)) - (-4 + sqrt(19))*-1)*1 + 0.\nAnswer: -3*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:40 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmgm when four letters picked without replacement from emegmeeeeeeeeemmegem?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-9) - 1 - (-1)\/9. Suppose j = -b*k + 1047, -3*k = 4*j + 27 - 796. List the prime factors of k.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4 - (-680)\/160?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1633, 6382, 14287, 25342, 39541, 56878, 77347?\nAnswer: 100942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*t**3 - 42*t**3 + 72*t**3.\nAnswer: 106*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 10, -212?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/16 + (-2)\/(-8). Suppose -20*b - 3*h + 4 = -21*b, 3*b = -4*h + 53. Suppose r = b*o - 12*o + 2. Sort -6, 1, 3, o in increasing order.\nAnswer: -6, 1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0. Let b = -40.9 - -41. Let i = -0.4 - b. What is the closest to i in q, 2\/9, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 34*i - 53. Let s be p(-36). Calculate the greatest common divisor of 95 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/60549 and 131\/12.\nAnswer: 242196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01 and 1074.\nAnswer: 1073.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 5. Suppose 6*x - 11*x + 20 = 0. Calculate w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5011057868 - -5011057456.9999769. Let w = -411 - s. Round w to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 + 158. Solve -2*l + 3*s - 2*s - d = 0, 2*s = -2*l - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(k\/k**(2\/21))*k)\/k)))\/(k\/((k**(3\/8)*k)\/k)*k*k))**(-8\/11)*((k\/(k*k*k**(1\/5)))**(2\/23))**16 assuming k is positive.\nAnswer: k**(4523\/26565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c - z, -4*c + 0*c - 4 = 4*z. Find the second derivative of 26*v**5 + 3 - 125*v + v**3 + 142*v + 0*v**c wrt v.\nAnswer: 520*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-3*j + 3*j + j)*(23 - 192 - 152).\nAnswer: 642*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21412)\/1484 + 12\/(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - l. Suppose -3*i = f - 2*f, -5*i = 4*f. Let t be o(i). Suppose -r - 3*r + 8 = t. Which is the closest to -1? (a) 0.5 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1918 and 850085.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.6 + -6. Let f = 0.04 - -1.46. Let m = 2 - f. Sort u, m, 1\/5 in decreasing order.\nAnswer: m, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/218 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, 1 d, and 1 h when four letters picked without replacement from fuhodfo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkqktkqk. What is prob of sequence ktt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1204 - 40332312?\nAnswer: -40334021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 33*k**2 - 56*k + 5. Is i(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3.58\nAnswer: 14.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -0.5, 1\/9, 0.1 in decreasing order.\nAnswer: 5, 0.5, 1\/9, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 866*r - 2. Let y be w(6). Let p = 31043\/6 - y. What is the common denominator of p and 5 - 4 - 98\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -312?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((30\/(-63))\/(-2))\/((-2070)\/(-1932)). Let -8\/3 - x*r**2 - 14\/9*r = 0. Calculate r.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -7*n - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5}. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 1. Let f(w) = w**2. Suppose -39*m - 7 = -25 - 99. What is m*f(b) - 2*v(b)?\nAnswer: b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1.7. Let v = -0.5 + z. Let g be 3\/9 - (-2)\/6. Is v smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -25*w**2 - 12*w - 7. Let v(x) = -x**2 - x - 1. Let t(m) = -k(m) + 6*v(m). What is the remainder when t(3) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -838, -1258, -1674?\nAnswer: -2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*v - 45*v - 11*v**3 - 13*v**3 + (2*v - v**3 - 2*v)*(-1 - 3 + 2) + v**3 - v**2 + v**2 - 4*v**3 + 0*v**3 + 2*v**3)*(3*v + v - 3*v).\nAnswer: -23*v**4 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i + 8. Let s(u) = -6*u**3 - 3*u**2 + 2. Let z be s(i). Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5312*l**3 + 3*l - 6590. Let g(t) = -5301*t**3 - 4*t + 6590. Let p(j) = 6*b(j) + 5*g(j). What is the second derivative of p(w) wrt w?\nAnswer: 32202*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 2*b + 6. Let z be (-3)\/3*-1 + 3. What is the remainder when m(z) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -2 + -2*sqrt(68)) + -6*(-3*(sqrt(68) + sqrt(68)*-1 + sqrt(68)))\/(sqrt(64)*2).\nAnswer: 4 + 25*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 256*a - 227. Let p(b) = 1023*b - 908. Let l(s) = -9*i(s) + 2*p(s). What is the first derivative of l(m) wrt m?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116c2 + 0?\nAnswer: 116c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 37 + 55168\/1312?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjjc when four letters picked without replacement from {j: 16, c: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5437 by -4.\nAnswer: 5437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.957802 litres?\nAnswer: 6957.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 7*i + 4. Let d be y(-7). Solve -16 = -d*a + 8*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128009755 divided by -5.\nAnswer: -25601951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1 (b) 6 (c) 0.03 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2736*n - 127 = 2731*n, -9*c - 4*n + 128 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*84\/(-112)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/5*719 - 5. Let f = -167 - j. Is f a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 11*l - 32. Suppose -5*k - 4*d = -l*k + 3, -k + 12 = -3*d. Solve 2*v = z, -4*v = -2*z - k*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from ccklckkmmcckc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11143, -0.3, -0.4, 0.1, -2 in increasing order.\nAnswer: -4, -2, -0.4, -0.3, 0.1, 11143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2776 + 1?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**3 - 30*n**2 + 10*n - 153. Let v(h) = 4*h**3 - 21*h**2 + 7*h - 103. What is 5*j(y) - 7*v(y)?\nAnswer: 2*y**3 - 3*y**2 + y - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*2 + 1)*-3)**2 - (sqrt(3) + -4 + sqrt(48) + -2).\nAnswer: 31*sqrt(3) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 284.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*x + 24 = 53, 0 = -2*d - 3*x - 19. Sort 11, d, -12.\nAnswer: -12, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1116 divided by -206\nAnswer: 558\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -11*z**4\/24 + z**2. Let w(m) be the second derivative of -m**4\/12 + 2605*m. What is w(r(s))?\nAnswer: -121*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((84\/(-40))\/7)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - (-1 + 810\/(-42)). Suppose -23*g = -s*g - 294. Calculate the highest common divisor of 28 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/429 - 4249\/17589. Let y = l - 43\/328. Which is the nearest to 1? (a) -7 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**3\/3 - 2*u**2 - 7*u. Let n(p) = -p - p - 17 + 14. What is -4*n(w) + 3*s(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*j - 41*j + 19*j**3 + (0 + 4 - 2 + (-1 - 3 + 7)*(1 + 0 - 3) + 1 + 3 - 6 + 0 + 3 + 0)*(j**3 + 0*j + 0*j).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250261 to the power of 1\/2, to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-8)))\/u)**(1\/32)*(u**(-5\/2))**(-15\/2) assuming u is positive.\nAnswer: u**(607\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70549513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-6*sqrt(1200) - sqrt(1200))\/(6*-2*sqrt(6) + sqrt(12)\/sqrt(2)*5) + 3)*-6.\nAnswer: -18 + 660*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3*i**2 - 8*i - 29. Suppose 18*r + r - 152 = 0. Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 8*b + 3*b + (b + b + b)*(-5 - 1 + 0) + (1 + 4 - 4)*(1 - 1 + 2*b) + 5 - 5 + 6*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (8 + 17 + -12 + -3 - 3)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 16*b - 4*b + 4*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000207380006 rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844*o = 68*a - 67*a - 837, 14 - 10 = -5*a + 5*o - 36 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 2.3 (c) -1\/3 (d) 3 (e) 0.03 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 526471 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61750950 and 2850.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3246 in -5\/3, -5, 70?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 430 + -430.5. Let w = -1 - -1. What is the closest to w in r, -3, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**2*s**4 + q**2 + 177*q*s**2 - 22*q + 71175*s**4 + s**2 wrt s?\nAnswer: 48*q**2*s + 1708200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {u: 1, d: 2, c: 1, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 479 = -d + x, -4*x - 787 = -5*d. Let n be 1 - (459\/d)\/3. Let y = 5\/4 + -11\/12. Which is smaller: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 20 + 6 + 14.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3505910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, g: 1, p: 5}. What is prob of sequence gfpp?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196443469, 392886934, 589330399, 785773864?\nAnswer: 982217329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602866 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12928131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 8*m - 1. What is the units digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3071100625.\nAnswer: 5, 19, 107, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1\/24*f**6 + 0*f - 1\/3*f**5 + 0*f**4 - 96*f**2 + 0*f**3 + 0. Factor j(o).\nAnswer: 5*o**2*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -21*n**3 - 3*n**2 + n - 32. Calculate t(-4).\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25925.\nAnswer: 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 (base 4) in base 14?\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815952530 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2. Let z(u) = -96*u**2 - 4*u - 23. What is z(q(j))?\nAnswer: -7776*j**4 - 36*j**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/10)\/((-40)\/(-118)) and 17\/4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = -47 + 23 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1890 by -3.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (-15)\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577902 times 12.6?\nAnswer: 7281565.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6009057 at most as big as 6009056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/2249 and -59\/38845?\nAnswer: 87362405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52 + (-3 - -3 - 2). Suppose -c = -0*c. Let q(w) = -w + 10. Let h be q(c). What is the greatest common divisor of n and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 16 = 0, 7*c - 5*l + 2*l - 6 = -l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44184 and 13150?\nAnswer: 1104600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -29*y - 1. List the prime factors of t(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.96 - 17. Let d = -0.0436 - a. Round d to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 - 6*o - 4. Let g be c(-1). What is the smallest value in g, 5, 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 110 + 109 + 0*c**3 + 106 + 0*c**3 - 168.\nAnswer: c**3 + 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 10. Let v(j) = -2*j + 19. Let t(q) = -q**2 + 23*q - 39. Let l be t(22). Let a be v(l). Solve -3*k = p*y + a - 18, -k - 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 51. Suppose 2*x - q = -1. Put -2, 1, x in decreasing order.\nAnswer: x, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-24) - (-11)\/12. Which is greater: 2\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104962*x - 3*x**2 - 552415*x - 552547*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -201313455 (base 6) to base 7\nAnswer: -41110622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214 divided by 41?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 200262 and -0.30579?\nAnswer: 200262.30579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-4)\/8 + 2). Solve -f*j = -0*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c + 312. Suppose 3*n - 15 = -2*m, -2*n - 3*n + 9 = -2*m. Suppose 0 = -4*o + 83 - m. What is the remainder when c is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 2400441?\nAnswer: -2400421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -3 (c) 1\/8 (d) -11 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 88*l - 259*l + 54*l + 89*l + 31. What is the remainder when j(-7) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y + 206*y + 30 = -5*x, 3*x + 5 = -2*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times 0.65957?\nAnswer: 3.034022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 + 10*w**2 + 3*w. Let y = 332 - 335. Let p(d) be the first derivative of 7*d**4\/4 + 20*d**3\/3 + 5*d**2\/2 + 6. What is y*p(g) + 5*a(g)?\nAnswer: -g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + 3*l + 9. Let s(n) = 2913*n**3 - 4*n**2 + 6*n - 2705. Let h(r) = s(r) - 2*x(r). Differentiate h(q) with respect to q.\nAnswer: 8739*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -321 - 4?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + (-300024)\/18. Round x to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 376671594 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.69.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**3\/3 + 5*t**2 + 25*t. Give d(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 852\/656 - (48 - (-1966)\/(-41))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - -15) + (-293 + 126 - -176)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/60 + 2*r**4\/3 + 32*r**3\/3 - 44*r**2. Factor w(b).\nAnswer: (b + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**31)**1 assuming z is positive.\nAnswer: z**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 1. Let a = 4 + -7. Suppose 0 = -7*l + 80 - 24. Let b(r) = -4 + 10*r + 3 - l*r. Determine a*h(k) - 5*b(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 8*i - 3*i - 30 = -f + 2*f, -i = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 10, -10, -0.08022?\nAnswer: -0.08022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 + 4*c - 2. Let u(a) be the first derivative of -a**3\/3 + a**2\/2 + 98. Calculate -h(b) + 4*u(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 - 885*b**3 + 2649*b**2 - 2647*b + 882 = 0. What is b?\nAnswer: 1, 882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Let l be ((-9)\/4)\/((-6)\/q). Let j = 79\/55 - 18\/11. Which is the second smallest value? (a) j (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 1, o: 1}. Give prob of sequence os.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 33*m**2 - 7*m + 13. Let v(d) = 414*d + 9 + d**2 + 404*d - 823*d + 21*d**2. Give -7*v(y) + 5*x(y).\nAnswer: 11*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 12*l - 25 = 0. Let a be l\/20 + (-30)\/8. Let w(z) = -z**3 - 4*z**2 - 7*z - 6. What is the units digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 0, 3*j - q = j + 182. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.7 + -39. Let u be (-1 - -3)*(-3)\/63. Let v = 530.2 + -530. Which is the closest to v? (a) h (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 21*j + 108. Let y be i(-5). Determine g so that 7*g**y - 8*g**2 + 12*g**4 - 4*g**5 - 4 + 3*g**3 + 12*g + 0*g**3 - 18*g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 185, 414, 735, 1148?\n\"Answer: 46*j**2 - j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1086 and 97\/9774.\nAnswer: 9774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225390.\nAnswer: 2, 3, 5, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/20 + 7*w**4\/4 + 3*w**3\/2 - 13*w**2 - 4*w. Is h(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -61, -99, -157, -235?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2530 is divided by 1660?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -187*c**3 - 2*c**2 + 5*c + 9. Let m be f(-2). Let a = m - 1008. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582257159?\nAnswer: 11, 31, 1707499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - g + 6152 + 20358, -w - 4*g = -5283. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84343 != -84342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7) + -2 + 9 - 16 - -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -544\/7. What is the smallest value in j, 0.5, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 25*w + 47. Calculate x(29).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1\/342, 11 in ascending order.\nAnswer: 1\/342, 0.02, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 - 291 - 275 = -18*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3747122, -7494233, -11241344, -14988455, -18735566?\nAnswer: -22482677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -3022*s + 3006*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5336 = 1695*p - 3139 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -5*x**3\/3 + x + 5. Let n(y) = y + 9. Let q be n(-8). Give j(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203 - -533. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w - 4. Suppose 3*o - 4 = 2*o. Let i be h(o). Suppose -i = -3*l - l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + -2*sqrt(12)*1)**2 + -1*sqrt(108) + sqrt(108) + (sqrt(192)*-2)**2.\nAnswer: 40*sqrt(3) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*r - 12, -2*d - r - 4*r = 4. Suppose 0 = -d*j + 4 + 2. Find the second derivative of j*w**3 + w**3 - 4*w**3 - w wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**3 - 49*l**2 - 29*l + 65. Let u be i(-12). Round u to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000223786125 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0047 - -26.9953. Sort -1, -32, n.\nAnswer: -32, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 59529946.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6717065.\nAnswer: 5, 1343413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7))*4 - (6*sqrt(28))**2 - (sqrt(56)\/(-6*sqrt(8)*-1) + -5).\nAnswer: -1003 + 23*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1184, 9914, 33740, 80204, 156848?\n\"Answer: 1257*v**3 + 6*v**2 - 87*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2)*a)\/(a**(1\/2)\/a))**(-4\/15)\/((a\/a**(-3\/14)*a*a)\/a*a\/(a\/a**8))**(-1\/16) assuming a is positive.\nAnswer: a**(-181\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3161 + -0.3161. Let h = 15 - 15.2. Sort h, o, -7 in increasing order.\nAnswer: -7, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -s + 11251 - 11243, 3*s + 20 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.7, 33, -2\/15?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/4563)\/(2\/78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130133012 - 12?\nAnswer: 2130133000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -61, -81, -101?\n\"Answer: -20*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*g = -14, b + 0*g = g + 6. Suppose -2*f = 2*f - 60. Calculate the highest common factor of f and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1175120 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2705065 to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(12480\/548) - 16\/(-104) and 131\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -176. Suppose 6*j = 8*j + s. Let z = 18 - j. Calculate the remainder when z is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2441 + 4002. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - -33201?\nAnswer: 32321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 + 29*b. Let k(l) = 2*l**3 + 3*l**2 + 52*l - 1. Let s(m) = -4*k(m) + 7*x(m). Let u be 1*5*12\/(-15). What is s(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 517 = -481 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -192, -339, -508, -705, -936, -1207, -1524?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -71377\/4239?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16454, 16445, 16412, 16343, 16226?\nAnswer: 16049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 13*f**2 - 14*f + 1. Suppose 8*w - 7*w - 14 = 0. Suppose w = z - 0. Let o be u(z). Let k(m) = m**3 - m**2. What is k(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 0.49, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186.3 - 186. What is the closest to 1 in n, -5, -0.3, -31?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8525 and 24475?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -105779, -105775, -105771?\n\"Answer: 4*r - 105783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63, 59, 53, 45?\n\"Answer: -j**2 - j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 216626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -34, -53, -72, -91?\n\"Answer: -19*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 0 + 0 + (4 + 2*p - 4)*(1 + 1 + 0) + 1 - 2*p - 1 + (3*p + 0*p - 4*p)*(-1 - 1 + 3) + p - 6*p + 2*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613813.\nAnswer: 613813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54*(-98)\/(-8820)*(-5)\/(-102)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09 and -3774.\nAnswer: -3774.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 3, j: 1, w: 3, x: 2, v: 5}. What is prob of picking 1 x, 1 j, and 1 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 5*x - 3. Let l be a(-6). Suppose -2*h = -l*h + 89. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 21*k**2 + 3*k + 1. Calculate the remainder when n(21) is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*f**2 + 7 + f**2 - 2*f**2 - 3*f**2 + 3*f**2 + (f**2 + 4 - 4)*(-1 + 5 - 1).\nAnswer: -f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 6*f. Let i be g(-3). Find the third derivative of i*h**2 + h**3 - 5*h**2 - 33*h**6 - h**3 wrt h.\nAnswer: -3960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*24\/20. Suppose 0 = t*w + w - 20. Let k = 4716 + -4713. Solve k*x + 16 = -w*a, x = 6*a - 4*a + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2.9. Let t = 577.57 + -581. Let h = t - -2.43. Which is the third smallest value? (a) 0.5 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4478753 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*((sqrt(612)*2*2)**2 + 0 + (sqrt(612)*1 + sqrt(612))**2).\nAnswer: 146880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6*a = -3*a + 7, 5*u - a - 9 = 0. Suppose 5*b - b + u*h = 402, -213 = -2*b - 5*h. Calculate the highest common divisor of 264 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -749.9 + 750. Let d = 199 + -196. What is the third smallest value in f, 1, -3, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (44\/6 - 6)*139\/(-32) and 113\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -473.2 + 418. Let d = 55.19999723 + s. Round d to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24 + 9*u - 16 + 41. Give h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 - o - 2. Give z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 17*r - 8*r + 72 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14375*n + 2628 = 14448*n. Solve 490*m = 481*m - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 23*m**2 + 39*m - 62. Calculate the lowest common multiple of d(-21) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d + 8*d. Let w = 24 + d. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75519 and 1431.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10*f + 28 = 0. Suppose 2*a = 5*u + 21 - f, -5*u = -a - 4. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 38*t**3 - 2*t**2 - 21*t + 466. Let a(g) = -17*g**3 + g**2 + 9*g - 234. Calculate -7*a(o) - 3*h(o).\nAnswer: 5*o**3 - o**2 + 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = 0. Suppose y = -7*h + 4*h + 12. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Suppose p = 3*k - 21 - 3. Suppose 2*b - k = 6. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -524*b**3 + 4*b**2 - 328*b**4 + 524*b**3 + 46*b**4 - 264*b**4 wrt b.\nAnswer: -13104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -46, -2\/17, -3, 3\/17?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1360 divide 29275360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = 66 - 84 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 15. Let g(k) = k - 9. Let w be g(15). Let j be n(w). Let a be (-26)\/(-2) + (-7)\/(7\/3). What is the greatest common factor of j and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645632961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -6\/5*n**2 + 0 + 4\/5*n + 2\/5*n**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57b104 - -1?\nAnswer: 57b105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240349 to the power of 1\/2, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9988304*b**2*m**6 + 10*b**2*m**2 + 4*b**2 + 11*b + 2*m**2 + 81 wrt m?\nAnswer: 1198596480*b**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2302, 4586, 6778, 8830, 10694, 12322, 13666?\n\"Answer: -8*b**3 + 2*b**2 + 2334*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2808251 or -2808583?\nAnswer: -2808251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101745 divided by 595?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*f - 6*f = 0, 0 = 3*b + f - 13. Solve 0*v - 5*j - 18 = -v, b*v + 2 = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1 - 2) + 9. Suppose 0 = -2*w + 4, -z*p + 4*p - 5*w - 17 = 0. What is the units digit of -2 + p\/(-3)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -608456*b**2*q**3*w**3 - 12*b**2*q*w**3 + b**2*q - 1491995*b*q**3*w**2 - q**3*w - 2*q**2*w**2 wrt w?\nAnswer: -3650736*b**2*q**3 - 72*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + -1.5. Sort 3, -0.3, s in decreasing order.\nAnswer: 3, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4061 = u + j - 205, j = -2*u + 8535. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + n - 2*n + (-n + 2 - 2)*(-3 - 1 + 1) + (n + 2*n - n)*(2 + 0 + 0) + 0 + 0 + 2*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/42 - (-30)\/14. Let a(k) = -47*k**2 + 74*k**2 - 44*k**b. Let z(c) = -9*c**2. What is a(z(o))?\nAnswer: -1377*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*o + 8, 7*u + 28 = 3*u - o. Let j be 100\/24 + 1\/u. Differentiate 2 - 5*y**4 + y**j - 6 with respect to y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 81*u + 33. Let v(o) be the first derivative of 5*o**2\/2 + 2*o - 6. Calculate 2*a(c) - 33*v(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 1. Let f(v) = -6*v + 6. Calculate 4*f(w) + 22*k(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356 + -329. Suppose 5*s + 44 = o*s. Which is the closest to -28? (a) -1 (b) 3 (c) s (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/5 - 153*p**4\/5 + 3476*p**3\/5 - 9372*p**2\/5 + 6048*p\/5 = 0 for p.\nAnswer: 0, 1, 2, 24, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*a - 2*q, -12 = -4*a - 3*q + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 28. Let m(s) = -s**2 - 7*s - 3. What is m(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 388 = 4*q. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6939 and 2363372?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 1, x: 4, v: 2}. What is prob of sequence yvvx?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1))**(-1\/4)\/((r*r*(r*r**(-8))\/r*r)\/r**(2\/11))*((r*r\/(r\/r**(3\/4)))\/r*r*r)\/r*r**(-1\/7)*r**(2\/7)*r**(-5\/4) assuming r is positive.\nAnswer: r**(1717\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**3 + j**2 - 3*j - 2. Calculate y(-2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573 + 573 + 5*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2747367 divided by -3\nAnswer: -915789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5253 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 276, 417, 560, 705?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 4*a**3\/3 - 2557*a. Let q(d) = 2*d + 10. Calculate k(q(z)).\nAnswer: 16*z + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -221*l**3 - l**2 - 10*l - 18. Let y be q(-2). Let o = y - 649. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6857, -27374, -61583, -109496, -171125, -246482, -335579?\nAnswer: -438428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 - 3. What is the closest to -1 in -0.1, c, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + 1443\/(-222)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 4. Let o(c) = 6*c**2. Give o(g(k)).\nAnswer: 24*k**4 - 96*k**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -e8046?\nAnswer: -e8049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 117*t**2 + 604*t - 57343. Calculate m(118).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28888 + -1857?\nAnswer: 27031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21418815 to the nearest integer?\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -83934 divided by 4663?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12385 - -12388. Calculate the least common multiple of i and 3448.\nAnswer: 10344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-14) + 2\/(-7). Let v be (-6)\/(-69) - 1496\/(-253). Sort -3, l, -13, v.\nAnswer: -13, l, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.313 + 51.013. Let f = p - 68.7. Which is the third smallest value? (a) 4\/7 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u**3 + 2*u**3 - 2*u**3)*(-15*u + 14*u - 27*u - 2)*(0 - 4 + 1).\nAnswer: -924*u**4 - 66*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + 4 = 0. Suppose -m + 36 = 5*y - 0*m, -2*y = d*m - 16. Suppose -2*b = y - 449. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1940596?\nAnswer: -776238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 85, 178, 345, 610, 997?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207a0 (base 13) in base 4?\nAnswer: 32101003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 118*d + 1301. Let k be m(-11). Solve -k*n + 2*i = -7, 0*n + 12 = -2*n - 2*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 377 + 21*l**2.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/5*-1*5. Suppose 0*y = 4*y - l. Solve -1\/2*q + 1 - 1\/2*q**y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*w**5 - w**3 + 2*w**2 + 120.\nAnswer: -1320*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 274*p**3 - 18*p**2 + 18*p - 1486. Let j(g) = -274*g**3 + 16*g**2 - 16*g + 1488. Let d(a) = -9*j(a) - 8*o(a). Differentiate d(x) wrt x.\nAnswer: 822*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -19\/5 (c) -3\/5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49042\/126 + 8\/(-36). Let k = -148 + d. List the prime factors of k.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 59. Let a = j - -32. What is the third derivative of -29*t**a - 167*t**3 + 168*t**3 + 4*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37601 divided by -1979.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15001 and -0.3?\nAnswer: -4500.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 276 - 255. Suppose -5*j = -2*i + 25, -p = -2*j - 2*i - 31. Which is the closest to -10? (a) -4 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 5\/3 in increasing order.\nAnswer: -6, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let q(m) = -1 - 5 + 8 - 1 + 11*m. Give q(u(t)).\nAnswer: -22*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -111, -212, -333, -480, -659?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.6 + -373\nAnswer: -363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.904 - 123.5. Let r = p + -0.404. Put 6, r, -0.2, 1\/2 in decreasing order.\nAnswer: 6, 1\/2, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(-3*n + 2*n - n) - 132*n + 117*n + 70*n + 1.\nAnswer: 59*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(2\/(-4)). Let a = -8 + 12. Suppose -3*u - 5*b = -1, a*b + 2 = -0*u - u. Put g, u, -5 in decreasing order.\nAnswer: u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 2\/5, 16, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -1028, -1460, -2072, -2864?\nAnswer: -3836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*7*9\/45 + (-41 - -12)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7385622569 and 1.\nAnswer: 7385622570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 36 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*r + 49 = -3*x, 4*r + 4 = 0. Let p = x + 13. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157837\/18456 - -8\/769. Which is smaller: l or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28\/19 + -346\/209. Calculate the common denominator of r and -89\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -281 - -287. Let x(c) = -c**2 + 14*c. Let f be x(t). Calculate the greatest common factor of f and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3314 times 49?\nAnswer: 162386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*d + 25, 3*d - 11 = -0*k + 2*k. Let z(r) = -r**3 - 11*r**2 - 15*r - 4. Let g be z(-11). Suppose -k*i + g = -191. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22304254 is divided by 252?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2808, -2787, -2758, -2721, -2676, -2623?\n\"Answer: 4*v**2 + 9*v - 2821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 9. Determine o(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-1)\/(-1))\/2. Let t(d) = d**3 - d + 2. What is the units digit of t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20209 is divided by 55.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 112 + 4 = -4*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994332560 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.065\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 s, and 1 d when four letters picked without replacement from ysvvvvvuusvodv.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000089234 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3*1 - 1139\/(-68) and -46\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 446.8857 decades?\nAnswer: 4.468857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -21*a - 70. What is g(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 304712077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**4\/8 + 2*g**2. Let r be n(-5). Let x be ((-50)\/r)\/(1\/(-1500)). What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2. Let q(k) = 83238*k. What is q(v(w))?\nAnswer: -249714*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 9. Let d(o) = 4*o**c - 4*o**2 + 2*o**3 + 2*o**2 - 5*o**3 + 1. Suppose -3*t = -0*t - 3*v + 6, 5*v - 22 = -t. What is d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 4. Let y = 6 + o. What is the tens digit of (-3 + y - -2) + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 428\/15, -0.3, -0.1, -2\/9 in decreasing order.\nAnswer: 428\/15, -0.1, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 127*v + 232*v - 8*v.\nAnswer: 353*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23031310 (base 4) to base 2.\nAnswer: 1011001101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/17 at least as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 8. Calculate the common denominator of u\/9*(-225)\/24 and ((-151)\/(-1 - 0))\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-22)*n*n*n*(n\/n**(-25))\/n*n)\/(n**(-5\/6)\/n**34) assuming n is positive.\nAnswer: n**(251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 462303224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 + 2*h + 962 - 4*h - 605 + 1671.\nAnswer: -2*h + 2266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/9 - 2*h**3 + 16*h**2\/9 + 2*h - 17\/9.\nAnswer: (h - 17)*(h - 1)**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 48. What is the third derivative of 5*o**6 - k*o**6 - o**6 - 2*o**2 wrt o?\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60193 divided by 3.\nAnswer: 60193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 - 2*m. Let g be b(3). Let w = g + 2. What is the biggest value in 0.1, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -6 (c) -9663 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13334201 (base 5) to base 9.\nAnswer: 227581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*(-1 + 0). Let w = -5 + 7. What is the nearest to -1 in -0.3, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o**2 - 4*o + 2. What is r(4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56148437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -31046361?\nAnswer: 31046360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/1711, -3\/46, 2, 0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1822 - 0.0822. Which is the closest to 0.58? (a) q (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76825 equal to -76825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 263*v\/2 - 69169\/4.\nAnswer: -(v + 263)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4805 is divided by 135?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2832 and -1.\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3 - 7*g + 5 - 8 - 2*g + 4. Let s = -9 - -5. Let q(y) = 125*y - 55. Let x(a) = s*q(a) - 55*n(a). Let c(f) = -f**2. Determine c(x(p)).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q + 392 = -102*q - 254. Which is smaller: q or -153\/4?\nAnswer: -153\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 = 0, u - 4*h = 5*u - 40. List the prime factors of 0 + 2 + 1 + u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-5) + -1*2. Let d = 9 + n. Solve 4*y - d = -y - 2*l, 5*l + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let c(y) be the first derivative of -33*y**2\/2 - 2*y - 569. What is q(c(t))?\nAnswer: -1089*t**2 - 132*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 - 3.4. Which is the second smallest value? (a) -3 (b) i (c) 1\/8 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22113322 (base 4) to base 16\nAnswer: -a5fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (9 - 0 - -3 - 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35085510 divided by 3\nAnswer: -11695170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356 - 356.2. Suppose q - 4 = 0, i + 3*q - 18 = -7. Which is the closest to i? (a) 3\/4 (b) -3\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 120 = 3*v, v = -v - 2*p + 84. Suppose 43 = -4*n + v. Is -30 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 4:13 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 11, 2, 5, -1, 18 in descending order.\nAnswer: 102, 18, 11, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)*c*c\/(c**(-5)\/c)*c*c*c**6\/c**(-1)*(c\/(c*c*c**(-4\/3)*c)*c\/c**(-4\/5))\/(c**1\/(c*c*c\/c**(-2\/17))) assuming c is positive.\nAnswer: c**(3889\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 16*w + 19. Let t be j(15). Suppose -2*f = t*f + 96. Let n = f + 15. Sort n, -2, -3 in increasing order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1.6 (c) -1 (d) 529 (e) -2 (f) 8 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*z + 3*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -24*p**3 + 6*p**2 - 6*p + 3. Let a(d) = 23*d**3 - 5*d**2 + 5*d - 2. Let s(q) = 3*a(q) + 2*c(q). Find the third derivative of s(g) wrt g.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 - (-8 - (-6 + 5))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2104 + 2144. Calculate the remainder when 410 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/17221 and -5\/879563.\nAnswer: 890997319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:31 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11823 is divided by 3767?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20548.89 * -87.\nAnswer: 1787753.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 251\/(-5) + 1\/15*3. Let p(d) = 39*d - 1. Let w be p(-2). Let l = z - w. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -37. Suppose -51 = -3*x + g. Let c = x - 15. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 85*j**3 - 137*j**3 + 2*j**2 - 3*j + 30 + 54*j**3 + 2*j as h*j + u + p*j**2 + k*j**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -546a36 (base 16) to base 2\nAnswer: -10101000110101000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -15. Let v be 0\/(2 + g - 2). What is the tens digit of 46 + (-1 - -2) - v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-46)*v**8*v)\/(v\/v**(-9\/4))**(-28\/9) assuming v is positive.\nAnswer: v**(-242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93077 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 k when four letters picked without replacement from {k: 5, m: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -1\/3*g**6 + 0*g**4 + 0*g + 0*g**5 - 4 + 0*g**3 + 3\/2*g**2. What is the second derivative of b(o) wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 17350709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/70 + (-4)\/(-10). Let k(r) = -2*r - 15. Let y be k(-7). Which is bigger: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14841*-0.5\nAnswer: -7420.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 617360 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1392)\/(-2552) + 160\/(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.92 + 8.92. What is the nearest to 1\/3 in b, -5, 12, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 6) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.926. Let c = 0.036 - l. Round c to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3771619 is divided by 37716?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7565 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12441799 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 92. Let w be (u - 12)\/(4\/(-6)). Is -7\/2 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47730, -47734, -47738, -47742, -47746, -47750?\nAnswer: -47754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)*z\/(z**2\/z))**8 assuming z is positive.\nAnswer: z**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -70. What is the units digit of ((-1)\/o)\/(37\/5846)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259237 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 13064.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j**2 + 0*j + 11\/3*j**3 + 2. Let s(l) = -3*l. What is n(s(y))?\nAnswer: 99*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5047.1 - 1848.116. Let c = j + -3242. Let s = c + 43. What is s rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125227*a**3 - 2148*a**3 - 188580*a**3.\nAnswer: -315955*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*d**2*i*y - d**2*i - 252831*d**2*y + d**2 + 101*d*i*y + i*y - 39974*y wrt d?\nAnswer: 102*i*y - 2*i - 505662*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 46*r + 112 = 0. Sort 194, 3, r, 0.\nAnswer: 0, 3, r, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**2 + 11*b - b**4 - 46*b - 3*b**4 - 111*b + 23*b wrt b?\nAnswer: -48*b**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814118.4 nanometers in micrometers?\nAnswer: 814.1184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 1175599152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/45 - 36\/81)\/(-2). Suppose 2*s + 12 = -s. Sort u, -2, s in increasing order.\nAnswer: s, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**4\/4 + 2*j**3 - 3*j**2\/2 - 5. Let t(r) = -r**2 + 75*r + 1569. Let b be t(92). Give q(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3540175 and 53675.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 = 13*y - 19*y. Let s = 119 - y. Solve f - s = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -3910308 and -3910310 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63693 + 128067 - 64365 - 6*x**3.\nAnswer: -6*x**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5319 * -12.857\nAnswer: -68386.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*g + 16 = 0, 2*g - 1 - 5 = 4*b. Which is greater: -1\/342 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 8:47 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -471?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - o - o)*(-3 - 1 - 7) - o - 2*o + 4*o + (1 + 4 - 6)*(o - 3*o + 4*o) to the form t + f*o and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 8*d**2 + 6*d + 55. Give i(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 26*v + 177. Calculate u(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*g = 3*w + 655*g - 1, 0 = 3*w - 2*g + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/28*14)\/(3\/(-2))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.256 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 3:35 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = s - 17, -2*x + 26 = -0*x - 2*s. What is the remainder when 47 is divided by -2 + 3 + x + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-26) - (-12)\/78. Let y(l) = 0*l**2 - 7*l + 2*l**h - 3*l**2 + 0*l**2 + 11. Let f be y(-8). Solve -f*z + 4*z = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 3*t + 3, 0 = -2*n + 6*t - 3*t - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.882 and 0.0134?\nAnswer: 0.2530188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13991 - 7743. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502653 (base 8) in base 7?\nAnswer: -3430111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/(1 - 106\/110) - (-1108)\/554?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23837\/20 + 1192. Let q(f) be the third derivative of -1\/2*f**4 + 0*f**3 + 0 + 16*f**2 - g*f**5 + 0*f. Find the second derivative of q(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-333)\/(-90))\/(-37)*16*(-3)\/4.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(252)\/sqrt(4) - -1*sqrt(175))*-5)**2*6.\nAnswer: -1920*sqrt(7) + 67296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*a + 12379 - 16744 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 - 1.04. Let r = 0.1 + o. Put r, -0.2, -2 in descending order.\nAnswer: -0.2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - v - 1 = 0, -3*g + 2*v + 2 = g. Let c be 1*6 + (-445)\/89. Sort g, -4, c in increasing order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-12) - -4 - (-92)\/138?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 - -175. Let t = 239 + b. Solve -2*k = i - t*k + 2, 0 = -k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g. Let s(n) = -3*n. Let q(k) = 2*c(k) + 7*s(k). Let t(h) = -39*h. Give t(q(p)).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7573498.\nAnswer: 2, 3786749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -18*r**3 - 379*r**2 - 1257*r - 273. What is f(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20382037 and 3991.\nAnswer: 3991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 722?\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15576727 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 1 + 4 + (-4*(sqrt(704) + -1) - sqrt(704)))*3)**2 - (sqrt(704)*-1*-3 + 4 + -2)**2.\nAnswer: -5280*sqrt(11) + 95765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 10974*r**3 + 10996*r**2 + 109776*r + 87808 = 0.\nAnswer: -5488, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 2. Let i be z(-6). Suppose -4*n + 136 = -5*q, 205*q = 3*n + 204*q - 124. Is i bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24134 and 23982614.\nAnswer: 2194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24170428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/1311 - 2567\/411654. Let v = 77\/471 - k. Factor 3\/2 + y + v*y**2.\nAnswer: (y + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2243, 4495, 6753, 9017, 11287, 13563?\n\"Answer: 3*t**2 + 2243*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474141.2km to meters.\nAnswer: 474141200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 360, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/3)\/((n**(2\/25)*n)\/n)*n**(2\/19)*n**4*((n**(-2\/5))**(-39))**23 assuming n is positive.\nAnswer: n**(517501\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 45)*(-2)\/12)\/(19\/(9 - -105))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009742634 rounded to seven decimal places?\nAnswer: -0.0009743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7\/5)\/((j\/j**15*j)\/j) assuming j is positive.\nAnswer: j**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(3\/(1 + 2)) - -6. Suppose u - 2*j + 5 = 81, 380 = 5*u - r*j. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -24*m - 9. Let o be p(-1). Calculate the greatest common factor of 25 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - (-5 - (-3 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 17 - (0 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4422 and 470206.\nAnswer: 1410618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q. Let r(c) be the second derivative of 1\/3*c**3 + 0 - 10*c + 0*c**2. Calculate r(l(b)).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 8)*(-2 - c + 2).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 11*a + 1957. What is the tens digit of p(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 - 4*s - 1. Let z be a(4). Let c be -1 - -1*(-2 - z). What is the smallest common multiple of 3\/c*(-2)\/3 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009951845 rounded to 6 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 15*o + 23. Calculate z(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2494737 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006714526 rounded to 6 dps?\nAnswer: 0.000671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30414 and 10138.\nAnswer: 30414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 56?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 + 5 = -p, -5*p - 15 = 5*g. Sort -13, p, -0.2.\nAnswer: -13, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*78\/(-442)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31387 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 + (-10 - -10)). Suppose i = 8*k - 18*k + 4*k. Factor 0 + 0*a**3 + k*a - 2\/13*a**2 + 2\/13*a**4.\nAnswer: 2*a**2*(a - 1)*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let l be ((-4)\/6)\/(x\/(-15)). Suppose 7 + l = a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 4*g**2 + 136*g + 224.\nAnswer: -4*(g - 7)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22236)\/(-3213) - 1*4\/(-18). Suppose -2\/7*d**2 + 52\/7*d - v = 0. Calculate d.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.4, 26\/3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5460.51 - 5434. Let s = u - 3.49. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1839*s - 4410. What is y(3)?\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 5. Let z(x) = 3*x + 4. Let j(t) = t + 2. Let a(m) = -5*j(m) + 2*z(m). Let u = -2 + -2. Let b = u + 6. Determine b*l(y) - 5*a(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*a**2 - 60 - 13*a.\nAnswer: -(a + 5)*(a + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20641255 is divided by 874.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 61.5. Let h = 1.41 - i. What is h rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + 25a6?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2104 and -64?\nAnswer: -134656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 74 and 81 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(0*y + 4*y - 3*y) + y - 2*y + 2*y + (2*y - 3*y + 3*y)*(-18 - 4 + 1) + y + 0*y + 3*y.\nAnswer: -38*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-9))\/(-2)*-9. Let s = 51 + -48. Solve -n - s*n = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) + 0 - sqrt(1300) - sqrt(1300)) + 3 + sqrt(1300))*-4 + -4 + 1)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**3 + l**2 + l + 1. Let d be u(-2). Let i = d - 11. Suppose g + o + 5 = -3*o, -5*o - i = -g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000642324 to six dps.\nAnswer: -0.000642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 32*j**2 + 28*j - 79. Calculate s(-31).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0 + 3\/440*n**6 + 9\/88*n**4 + 82*n**2 + 0*n + 0*n**3 - 9\/220*n**5 - 1\/2310*n**7. Factor h(j).\nAnswer: -j*(j - 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255369685.\nAnswer: 5, 547, 93371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3837010674.00000705 - -3837010781. Let z = i + -107. Round z to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**4*y + 26453214*g**3*y**3 - 2*y**3 + 23517880*y wrt g?\nAnswer: -8*g**3*y + 79359642*g**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.2. Let f = -36506 - -36501. What is the nearest to -7 in f, j, 2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:16 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1332\/(-90) - -15) + 532\/(-120)*2.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*p**2 + 2*p - 253*p**2 - 2*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*n - 5*n + 1106, 0 = -2*n - 10. 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 42661085 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Suppose -c + q*p = 3430000, 5*p - 6860000 = 2*c + 2*p. What is c rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5440 is divided by 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428937106?\nAnswer: 2, 13, 107, 154183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*((1 + 2 - 1)*(-258 - 37*n + 258) + (-n - 11 + 11)*(0 - 3 + 1) + 4 - n - 4).\nAnswer: -73*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -i - 3*p, -p + 2 = -3*i. Let o be ((-2)\/18)\/(i\/2). Let r be (3\/4)\/(1\/(-8)) + 3. Which is the second biggest value? (a) r (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 11405975.\nAnswer: 2\/11405975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/16 - 9\/16. Let s(d) = 7*d**3 + 2*d**2 + 2*d + 1. Let z be s(-1). What is the nearest to -0.1 in q, z, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1850, 3701, 5552, 7403, 9254?\n\"Answer: 1851*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9aa6 - 78?\nAnswer: 9a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/31 + -5\/372. Let t(z) be the first derivative of -2 + 1\/8*z**2 + h*z**3 - 1\/2*z. Find o such that t(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1*(-2)\/(-58)). Let z = -12 + -2. Let d = n + z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 91*d**2 - 92*d.\nAnswer: d*(d - 92)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 732722 + -38?\nAnswer: 732673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m + 2*q + 2, 0 = -5*m - 4*q + 6. Solve w - m*w = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.1705 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 g when four letters picked without replacement from rggrgr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 - 2*m**2 - 752 + 5*m**2 + 110 to h*m**2 + f + u*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g. Suppose g = -s + 2*s + 3*c, 0 = -3*c - 3. Suppose -s*h + 137 = -214. Calculate the highest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13330020 + 5?\nAnswer: -13330011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -537, -1208, -2147, -3354, -4829?\nAnswer: -6572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + 5*f - 1. Let y(r) = 4*r**2 - 152*r + 3. Give -i(h) - y(h).\nAnswer: -h**2 + 147*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 11235928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/63 and -67\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 7. Let s = 121 + -118. Suppose 0 = w + 4*v - s, 15 = 5*w + v + 2*v. Suppose w - 13 = -2*m. Let t(b) = 6*b + 22. Determine m*t(g) + 16*h(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3046*f**2 + 21*f - 12. What is the units digit of t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-22 + 14)) + 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637 + -637.0603. Let i = 0.06141 + a. What is i rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -36*x + 53. Let a(y) = -1. Let g(z) = -3*a(z) + n(z). Differentiate g(s) with respect to s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (318 - 355) + 4 + 24\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 706212.5 to the nearest one hundred.\nAnswer: 706200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 37 = -248*y + 239 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 296035877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2939173*h**3 + 6414758*h**2 - 4*h + 5?\nAnswer: 17635038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1005472656 divided by 2\nAnswer: 502736328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 - -217. Let b be t\/2*(1520\/(-12))\/(-10). Solve b - 14 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let p be o(3). Find the first derivative of -2*a**3 + 2 + 1 + p - 2*a**3 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2434530 - -3?\nAnswer: -2434528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1 - 1 + 4*n. Let m(h) be the third derivative of -1\/8*h**4 + 7*h**2 + 0*h + 0 + 0*h**3. Give m(w(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 23, 25, 27, 29, 31?\n\"Answer: 2*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(11\/6))**(1\/63) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -106*w + 31 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -318 + 320. What is the remainder when 16 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 3 - 6*t + 4*t. Let g be b(0). Let w = 9 + g. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 1 - (-9 - 0)) + 7 - -60 - 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c + 4. Let r(d) be the first derivative of 8*d - 1 + 2\/3*d**3 + 1\/2*d**2. Let b(q) be the first derivative of r(q). What is -7*b(j) + 2*u(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudddud. What is prob of picking 1 u and 1 d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -9*r + 6468. Calculate the common denominator of 62\/55 and (-7)\/(r\/2136) + 4\/2.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-3) - 0)\/(6\/(-63)). Let k(u) = u**3 - 16*u**2 + 14*u + 16. Let a be k(r). What is the lowest common multiple of ((-16)\/20)\/(8\/a) and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - 2\/((-32)\/44). Suppose 2*h - 3*h - 2*i + 326 = 0, 2*h - 656 = -t*i. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -21. Suppose -3*f - 3*r = -6057, -r = -0 - 1. Is f\/6 + (-2)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:23 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-260)*-112 - (2 - -5).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -355, -521, -687, -853, -1019?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -27, -26, -27, -30, -35, -42?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 2*i**3 + 1 - 5*i**2 in the form d*i**3 + v + j*i**2 + l*i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y - 115*y - 160*y = -15948 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 5*p. Let t(i) = -4*i**2 + 19*i. Let g(a) = -6*t(a) - 22*u(a). Let h be g(2). Let s be 0\/(-1) + (-2 - (-2 - h)). Solve s = 3*v - 5*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 42*l**2 - 8*l + 8. Calculate s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -y - 2, -3*d + 6 = 1358*y - 1356*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -146, 1\/5, -4\/5, -0.37?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -4)**2 + -5 - -5*(sqrt(7) - sqrt(70)\/(sqrt(10) + (sqrt(250) - sqrt(10)))).\nAnswer: -44*sqrt(7) + 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 476 + -909. Let g = w + 432.99999793. What is g rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 74 = 27 + 15 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, j: 1, x: 4}. Give prob of sequence vv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/10)\/((-2)\/200). Let s be 3 - (2 - 2 - 1). Suppose s*m - h = -0*m. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(-25)*i**(-1\/7)*i\/((i**(-1)*i)\/i) assuming i is positive.\nAnswer: i**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -0.015522\nAnswer: -3.984478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8477*p**3*z + 5*p*z - 4*p + 925695*z with respect to p.\nAnswer: 25431*p**2*z + 5*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y**2. Let v(m) = -3*m + 41. Let f be v(13). Let s(t) = 2*t**2 + 3*t**2 + 4*t**2 - 12*t**f. What is s(x(l))?\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118860 (base 10) to base 12.\nAnswer: -58950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.62 - 7145.\nAnswer: -7166.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142235066 divided by -71117533.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sixths of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144636071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 304, 436, 568?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4\/3, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**7)*k)\/k*k**(-1\/5)*k**6*k*k**1*k)\/(k**(1\/2)*k*k*k*k\/k**(-2\/3)*k*(k*k**2)**(-14)) assuming k is positive.\nAnswer: k**(1099\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32622 is divided by 28554?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 971976 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 2*d - 7*d**3 - 2*d - 8*d**2 + 10*d + 5. Let r(j) = 9*j**3 + 9*j**2 - 3*j - 6. Let m(k) = -4*r(k) - 5*v(k). Determine m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*u**(-1\/9)*u))\/((u*u*u**7)\/u)*((u*u**0*u*u)\/u)**(-13\/5))\/(u**6*u**(-7))**(-32) assuming u is positive.\nAnswer: u**(-2164\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 1093, 1637, 2181, 2725, 3269?\nAnswer: 3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 219. Let p(u) = 5*u - 350. Let g(j) = 8*f(j) - 5*p(j). Give g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (612\/3536)\/(36\/8).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/5 + (-2 - 51\/(-20)). Let d = 0.14 - 0.1. Let c = -4.04 + d. What is the nearest to j in -0.1, c, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7897 - 224.\nAnswer: -225.7897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6902114 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/(sqrt(25)\/sqrt(5)))\/(sqrt(100)*-2))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 433 - 435.77. Let j = i + -0.23. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73780 and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7 = 9*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*o**2 + 2*o**2 + 0*o**2 + o**2 - 8*o**3 wrt o?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpz when three letters picked without replacement from {w: 7, z: 1, p: 6, n: 6}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298178 is divided by 6619?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1296)\/sqrt(12) - ((sqrt(15)\/sqrt(5) + 1)**2 - sqrt(3)).\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = -2*n - 2*z, -n + 5*z + 4 = 0. Suppose 5*x - 70 = -2*b, -2*b - 4*x + 62 = -x. Let v = n + b. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 + -19 - -2) - -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90940 divided by 42?\nAnswer: 45470\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -13*n + 330. Solve -2*l = 12 - n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5431526177?\nAnswer: 7, 11, 10077043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6088532 and 4?\nAnswer: 6088532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + 28. Suppose -9*z + n = -8*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbogjroovjb. What is prob of picking 1 v and 2 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13*t**2. Let q(a) = 7*a**2 + 22*a - 5. What is q(r(c))?\nAnswer: 1183*c**4 - 286*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -4\/7 (c) -2962\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1383567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -22*x + 409. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058*c + 2058*c + 2057*c + 2067*c - 12339*c + 2045*c + 2058*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21677 is divided by 1281.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -43b51b (base 15) to base 9\nAnswer: -6058448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. Let z(r) = r - 14. Let f be z(t). Let x = f - -10. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**8\/56 + 11*i**4\/24 - 26*i**2. What is the second derivative of t(k) wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(1\/3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 - 15 - 2 + 16 - 6*n**3 + 11*n**3 to k + u*n + d*n**2 + c*n**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6 - 35*t - 5 in the form c + n*t and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1901*t**3 - 6 - 1908*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + sqrt(21)\/(sqrt(3) - 1*sqrt(3)*3) + ((sqrt(70) - 4*sqrt(70))*-3)\/sqrt(10))**2.\nAnswer: -68*sqrt(7) + 2075\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 3*a + 3*a)*(-196 - 261 + 18) as w + m*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -134151, 0.06, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 2. Let l(w) = -w**2 - 5*w + 4. Let y(o) = -3*o**2 - 10*o + 8. Let n(m) = 5*l(m) - 2*y(m). Suppose -11*d + 9*d = 10. Give d*p(f) - 2*n(f).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1950 is divided by 232.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 289 - 5592*z + 2828*z + z**3 + 2764*z as p*z**3 + f*z + m + c*z**2 and give m.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-15) - (-8859)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.01 - 29. Which is smaller: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 31. Let h(y) = y - 22. Let m(j) = -5*h(j) - 6*v(j). Calculate m(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*z**3 + 1982*c*z**2 - 81563*c*z + 1227*c + 636*z**3 - 2*z**2 wrt z.\nAnswer: -12*c*z + 3964*c + 3816*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clhl when four letters picked without replacement from {l: 2, g: 2, h: 4, c: 1, m: 1}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5192 + -4219. Calculate the remainder when u is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i + 20, 0 = -3*j + 4*i - 26. Let p(y) be the second derivative of y**5\/20 - y**4\/12 + y**3\/6 + y**2 + 3*y. Calculate p(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -49, -102, -171, -262?\n\"Answer: -n**3 + n**2 - 39*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.77132 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -6 - -2) + 9 - 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k, -12*f + 3*k + 3 = -11*f. Solve -a - 6 = -4*o, f = -o + 2*o + 4*a + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) - (2 + sqrt(468) + 1 + sqrt(468)).\nAnswer: -6*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -v. Suppose -5*w + 2*c = -497, -v*w - 4*c + 8*c + 499 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 - 2 - 3*m**3 + 5 as u*m**2 + g + n*m**3 + l*m and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19822 is divided by 374.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1414213 by 5.\nAnswer: 1414213\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -52.661, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -56, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62*3\/2*(-4)\/(-6). Let g be l\/434*(8 - 1). Let f = -0.06 + -0.94. What is the second smallest value in -3\/7, f, g, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (151 - 300 + 159)*(17 - 17 + 2*z) to the form t*z + b and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/20 + 2*s**4\/3 + 4*s**3\/3 + 2769*s. What is k(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(144)\/sqrt(3))\/(sqrt(12) + (1*sqrt(132))\/sqrt(11)))\/((sqrt(242) - (((sqrt(242)*1 - sqrt(242)) + sqrt(242))*1 - sqrt(242)))*1).\nAnswer: -3*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.9 + 0.1. Let d = 7.7 - v. Let t = 1.199 - 1.699. What is the closest to 1\/2 in -0.4, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842, 1384, 1912, 2420, 2902, 3352?\nAnswer: 3764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713520.\nAnswer: 2, 5, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -603197, -1206370, -1809543?\n\"Answer: -603173*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*b - 58. What is the greatest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 95*c**7\/42 - 41*c**3\/2 + 776*c. Find the second derivative of d(x) wrt x.\nAnswer: 1900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aladzd. Give prob of sequence dl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -13\/5 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 13 = -3*v, -2*m = 2*v - 4*v + 10. Let l = 0 - m. Factor 0 + 2\/7*n**l - 4\/7*n**3 + 0*n + 2\/7*n**2.\nAnswer: 2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 117*d + 6. Calculate the remainder when y(1) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 5) to base 11\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 6638*o - 6639*o = -6, 12 = 2*y + 4*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 44.072.\nAnswer: 35.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 6 = -4*w. Let b be 0*-1*(-1)\/w. What is the closest to -1\/3 in b, 5, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooobooboobbb. Give prob of sequence bbb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -1 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -43\/14381?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763 divided by 6?\nAnswer: 1763\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = g + 6*t, 4*t + 46 = -5*g. Let b(n) = n**3 + 5*n**2 - 3*n - 3. Give b(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152151 (base 6) in base 2?\nAnswer: 1110111111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-10))\/(2\/5). Suppose -u*t - 2*c + 24 = 0, -3*t - 2*t + 40 = -3*c. Suppose 3*i - t + 30 = 5*z, -19 = -3*z - 4*i. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 14*v - 19. Calculate k(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 228613 divided by -2969?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/((-3)\/((-468)\/13)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -26, -29, -20, 7, 58, 139, 256?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 12*a - 17. Let k = -36 + 47. What is the remainder when i(k) is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 21. Is m != -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*o = 155*o - 28032 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 72 = -8*g. Suppose u = g - 9. Is u\/12 - 3114\/(-24) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 301788 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 - -1.94?\nAnswer: -406.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + (sqrt(684) - (sqrt(684) + -1 + sqrt(684))) - -5*(sqrt(171) + sqrt(171) + 1))*-4 + -3)**2.\nAnswer: 5952*sqrt(19) + 176063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13601*v**3 + 27641*v**3 - 14075*v**3.\nAnswer: -35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75350484 and 3960.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -4 + 113 + (-7)\/((-35)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*p - 2*z, 0 = 4*p - z + 4*z + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:07 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 168673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 34*o. Let a(x) = 26*x - 3 + 2 + 1 - 30*x. What is a(i(r))?\nAnswer: 8*r**2 + 136*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/28 - (-3)\/12. Let m = 3.804 + 0.196. What is the nearest to o in 2, m, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1440346)\/(-35) + 54\/(-90) - (-4)\/(-28)?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 5, -6, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 332 + 46393\nAnswer: 46725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/9 + 4\/18)*(-153)\/476.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 255247819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -15 - (1 + 0) - 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 166.6.\nAnswer: 3165.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12122 is divided by 1065?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231039, -231019, -230987, -230943, -230887, -230819?\nAnswer: -230739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 11. Let t(g) = 7*g + 33. What is -7*r(j) - 2*t(j)?\nAnswer: 7*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/31 - 27\/124. Which is the third smallest value? (a) j (b) 6.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850243.58 rounded to the nearest 1000?\nAnswer: 1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6897*g**3 - g**2 - 2*g. Let s = -264 - -263. Is w(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 5, -11, 3, -3 in decreasing order.\nAnswer: 5, 3, -3, -5, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002385509 rounded to seven decimal places?\nAnswer: 0.0000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45057 divided by -1959?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1704 and -87\/524954?\nAnswer: 447260808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22838239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*c = 4, 5*c - 2*c = 3. Let n(i) = -i + 9. Let l be n(8). Let j be m\/6*-4 - l. Solve 4*a - 3 - j = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 445\/3*b - 446\/3*b**3 - 221\/3*b**4 - 2\/3*b**2 + 223\/3 + 1\/3*b**5.\nAnswer: (b - 223)*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4833, -95, -3\/8 in increasing order.\nAnswer: -4833, -95, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*l = 54. Suppose 5*z = 5, -5*r + 11*z = l*z + 17. What is the tens digit of (-34 - -17)*(r - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*p = -7, -18 = d - p - 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 219622 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414775 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 7*m**3\/3 - 248. Let t(w) = 99*w. Determine t(p(b)).\nAnswer: 693*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10592400 and 3530800.\nAnswer: 10592400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16776.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 7*q - 14. Determine t(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.02*0.474\nAnswer: -1.90548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2223*p = 1750*p - 3311 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) - (sqrt(8) + sqrt(56)\/(sqrt(7)*2)) - sqrt(8)) - (sqrt(132) + (sqrt(132) - (sqrt(132) - 3*2*sqrt(132)) - sqrt(132)))\/sqrt(12).\nAnswer: -20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -68587 times -16\nAnswer: 1097392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 518544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*u + 12 = 0, 3*j - 13 = 3*u - 4. Suppose -j = b - 5. Suppose -5*s + 24 = z, -6*z - b*s = -2*z - 24. Solve -7*i = -z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1797861655 to the nearest integer?\nAnswer: 42401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18346646 or 18346645?\nAnswer: 18346646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -460, -418, -348, -250, -124, 30?\n\"Answer: 14*a**2 - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 9*r - 20. Let g be h(-8). Suppose -5*w + 97 = -5*d - 2*w, -3*d = -4*w + 56. Let z = g - d. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.2 (c) 1 (d) 25 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(4)\/sqrt(2) + -2 + -4.\nAnswer: -6 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260 (base 8) to base 13.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 0*m**2 + m**2 + (0*m + 3*m - m)*(3*m - 2*m - 5*m) + (m - 3*m - 3 - 1)*(-2*m - m + 2*m + (0*m - 2*m + 3*m)*(-3 - 3 + 4) + 0*m + 3*m - 2*m).\nAnswer: -2*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/5 + 12328*m\/5 - 4108954\/5 = 0.\nAnswer: -6481, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5641*m**3 + 16934*m**3 - 5637*m**3 - 5658*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2249 = -58*x - 129 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*4*-2*sqrt(847) + -1)**2 + -1.\nAnswer: -880*sqrt(7) + 1355198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 + 6*q - 7. Let z be m(3). What is the smallest value in 5, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2\/11 (c) -4 (d) 124465 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = -5*f - 720, -3*f = -2*z + 479. What is the second derivative of -z*x + 3 - 3 - 182*x**2 - 15*x**2 + 19*x**2 wrt x?\nAnswer: -356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 20, 5*n - 40 + 5 = 4*l. Let h(r) = -25 + 147 - 2*r + 4*r**2 - 6*r**2 + n*r**2. Is h(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let u(a) = -11*a**2 - 31*a + 1. What is -2*l(c) - u(c)?\nAnswer: 11*c**2 + 33*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 1. Let t(m) = m - 1. Let u(q) = -q**3 - 34*q**2 - 70*q - 195. Let f be u(-32). What is f*t(y) - j(y)?\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3240 + -48598\/15. Let 0 + 0*z - 2\/15*z**3 - x*z**2 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12112012 + 1?\nAnswer: 12112013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*o - 112, -5*o - 7 + 2 = 0. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6086 (base 15) in base 14?\nAnswer: -75d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-12)\/(-45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*c + 5*c - 4, -2*q = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*p + 98 = 0, 10*p - 61 = -k + 15*p. What is the remainder when k is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1051112 or -1051118?\nAnswer: -1051118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/8? (a) 45\/7 (b) 3\/5 (c) -2\/5 (d) 0.06 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*o = -55, -5*o + o = -20. Suppose 0*t - n = -2*t. Determine m so that -6*m**2 - 3*m**2 + t*m**2 - 4*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2.8 (b) -4 (c) 13.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/6 - 551*y**2\/6 + 724*y = 0.\nAnswer: 0, 8, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 6. Suppose 3*s - 1 = -p. Put 0, 0.1, s in increasing order.\nAnswer: s, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:57 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1614050 (base 7) to base 9\nAnswer: -367838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 310678276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*k + 644656, 2*k - 4*a - 480716 = -158378. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51238 = -89*v + 432*v - 1850*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1 - 2*z - 2 + 1. Let a(t) = 0*t - t + 1 - 1. Calculate -a(w) + j(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-95)\/228*(-1068)\/(-200) and 1\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, w: 1, i: 1, c: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -80 (b) 1\/9 (c) 12 (d) 1\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.2. Let o be 3 + (-2 - -2 - 1). Let i = 0.06 + 2.94. What is the third biggest value in i, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 - 8*v + 4. Let p(m) = 4*m**2 + 12*m - 6. Let l(x) = -7*h(x) - 5*p(x). Let r be l(7). Suppose -3*i + r = -79. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -586, -572, -558, -544, -530, -516?\n\"Answer: 14*b - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2621 - -5114968422.\nAnswer: 5114965801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 49\/4 of a microsecond?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34768*d**3 - 24949 wrt d.\nAnswer: 104304*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z*z*z*z**(-6\/11))\/(z**(-6\/7)*z*z\/(z*z\/z**(1\/11)*z)) assuming z is positive.\nAnswer: z**(-368\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/20 and (-3)\/(-30)*(-625)\/120 - 2.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = 3*v, 0 = -0*v - 2*v - 5*o + 1. What is the nearest to v in -2, 1, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-568)\/5751*261\/116?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 162. Let l be (-110)\/(-40) + -3 - (-346)\/8. Suppose -l*a - 270 = -53*a. Calculate the highest common divisor of a and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2 + 16. Let a be (29\/58)\/(1\/(-38)). What is the smallest common multiple of f and (4 - -14) + -9 - a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/1 - (16\/4)\/(-2). What is the common denominator of 1 + j - (5\/30 + -5) and 65\/38?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -7 - 0) + -6 - 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (191 + 32760\/(-168))*(2 + 16)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/91*(-7)\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -153?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - z - 2*z + (-188*z + 186*z + 1 + 10)*(-2 - 4 - 1).\nAnswer: 13*z - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*5*(-1 + sqrt(720) + -1)*-6 + 5 + 4)**2.\nAnswer: -99360*sqrt(5) + 1305522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -342*k - 20180. Give r(-59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:20 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 868 = 1052. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mil when three letters picked without replacement from {i: 1, l: 1, m: 5, n: 5}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -297525, -595065, -892605, -1190145, -1487685, -1785225?\n\"Answer: -297540*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 40*q**2 + 2. Calculate m(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.7. Let w = m + 0.6. Which is the third biggest value? (a) -4 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*j - 10, -12 = j - 5*j + 4*q. Let n = -3.2 - -3. Let o = n + 0.1. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -81 + 106 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3 - 0. Let z be (3 + -5)*-1 - i. Suppose z*r = 6 + 14. Calculate the smallest common multiple of r and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:36 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 68, -2, -11, 129 in increasing order.\nAnswer: -11, -8, -2, 68, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrhrhhhrrhh. Give prob of sequence rrrh.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/120 - b**5\/60 + b**4\/24 + 2*b**2. Let u be a(0). Let f(n) = -n**2 + 10. Give f(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -157352881 and 245475.\nAnswer: -157107406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {y: 1, e: 7, f: 7, v: 1}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:29 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = -3*p - 24, 0 = 2*p - 3*q - 1. List the prime factors of (p + 19)\/5 - -178.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = 4*n, -2*s - 5*n + 2*n + 7 = 0. Let a = s - 5. What is the third derivative of b - 2*b**a - b + b**2 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5294418*f*l*r**2 + 52*f*l*r - 21*f*r**2 - 9*f*r - 2*l*r + l + 2980*r wrt r?\nAnswer: -10588836*f*l - 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 4. Let b(y) = 4*y + 1. Let x be b(-2). Let n(c) = -c + 17. Let s(u) = -6*u + 93. Let f(t) = 22*n(t) - 4*s(t). Give x*f(d) - 4*g(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 - (14 + -3 + 17 + -16).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1770\/11 + -161. Sort 5, 2\/3, 3\/7, s.\nAnswer: s, 3\/7, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*g + 1, 5*q - 5 = -0. What are the prime factors of (19\/(-3) + g)*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 16 = 3*p - p + 5*w, 5*w = 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 74. Suppose z*y = 14 - 24. Which is the closest to 1? (a) y (b) 0.08 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -47 - 28*b**2 + 8*b**2 - 182*b**4 + 171*b**4. Find the second derivative of t(z) wrt z.\nAnswer: -264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -12261829\nAnswer: 12261826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p - 31. Give r(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490272287?\nAnswer: 3, 7, 47, 523, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - r**2 - 4. Let o(s) = -s**3 + 1. Let j be (-3)\/((30\/(-25))\/((-2)\/(-5))). Calculate j*b(z) + 4*o(z).\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1315 - 1234. Calculate the highest common factor of 72 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - -4) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 250, 93, -330, -1151, -2502?\n\"Answer: -22*r**3 - r**2 + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19889.99 to the nearest one hundred.\nAnswer: -19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 8, -1\/10, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 370929.9 millennia?\nAnswer: 4451158800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 183.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 932 - 930. Which is the closest to 177? (a) l (b) 4 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 25 - -3) + -8 + (-13 - -20)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y - 380 = 114*y. Let q = -67 - y. Solve -q*w = -5*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126682540 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 - 258\/(-15). Let w(t) = -t**2 + 17*t + 12. Let f be w(d). Let r(m) = 5*m + 2. Is r(f) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20042042?\nAnswer: 2, 43, 241, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (46 + -9 - (1 - 0))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78452\/3 + 26151. Which is the biggest value? (a) 5\/6 (b) 11 (c) -0.23 (d) 0 (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95.5 - -94. Let r = m - -2. Let v = 28\/15 + -67\/60. What is the closest to 0 in v, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327\/271 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -109623 - -0.31903?\nAnswer: -109622.68097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 10*n + 16. Give d(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 19. Suppose -29 = -5*w + k. Let b = -6 + w. Let h(u) = -u**2 + 4*u - 1. What is h(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0323 and 3.\nAnswer: -0.0969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 28*g**2 - 53*g - 2. Let m be t(-2). Suppose -x = h + 1, -2*x - h + 4*h = -18. Suppose m = -r + x*r. Solve r*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-30))\/((-2)\/10). Let z(n) = n**2 - 2. Let o be z(g). Suppose -2*k + o*k = 85. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 504199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 188*v**3 + 13*v - 7. Let y be p(4). Suppose -l + m + 2417 = 0, -3*l = 2*l - 3*m - y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 3) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and ((-328)\/(-12))\/(-7*2\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*v + 0 = 177, 3*d = v + 516. Let r be 2*-1 - (d\/(-9) + -10). Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10572, 10570, 10578, 10602, 10648?\n\"Answer: z**3 - z**2 - 6*z + 10578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36\/7 - -5. What is the smallest value in 1, -2, 1\/2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4, 4*n + 2*v + 376 - 46 = 0. Let d = -77 - n. Solve -d*j + 2*j + 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -375480*d**4*u**3 + 2*d**2*u**3 + u**3 + u**2 - 56*u + 4243 with respect to d.\nAnswer: -1501920*d**3*u**3 + 4*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3156 divide 346623480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -19*d + 1. Let n(g) = -36*g**2. What is r(n(c))?\nAnswer: 684*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369854127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -46398.34431 to the nearest 10.\nAnswer: -46400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 1)\/(0 - (0 - -2)). Solve 4*l + h = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-13) + (-766128)\/(-429). Is b equal to 1786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y + 99 = -x, -201 = -4*y + 3*x. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:42 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 6076476.\nAnswer: 18229428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*z - 3*g, -4*z - 9947 + 9963 = -2*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*l**2 - 4*l**2 - 7*l**4 + 16*l**4 wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and 133\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43989 is divided by 43975.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7584 + -6323. Is o at least 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -41. Let z(x) = x**3 + 7*x**2 + 5*x - 5. Let h be z(-6). Suppose 0*j + h = -j. Is j >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 843807392 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560348 and 438.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2976 = 5*g - 3*z, 2*g - 1192 = 2*z. Suppose 0 = -16*w + 15*w + g. Let s = w - -247. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let l(j) be the second derivative of -13*j**3\/6 - 12*j. Determine x(l(n)).\nAnswer: 338*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (120\/126)\/10*-3. Which is smaller: y or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsj when three letters picked without replacement from {j: 1, m: 4, x: 4, l: 1, s: 1, b: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - -1.8. Let n = 0 + -0.4. Which is the closest to y? (a) n (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203925168.8 rounded to the nearest 100000?\nAnswer: -1203900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(132))\/sqrt(12).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 89 + (-19 + 4)\/(-5). Suppose -5*n + k + 108 = 0. Calculate the greatest common factor of 100 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 2412.3.\nAnswer: -3135.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 3*x + 1485 = -6*p, 0 = 3*p + 5*x - 1150. What is the highest common divisor of p and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572679352 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 23. Let i be t(-39). Suppose -i = -416*c + 417*c. Which is bigger: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ssswswwwwwsws?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2699, -10816, -24339, -43268, -67603, -97344?\n\"Answer: -2703*g**2 - 8*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000882587277 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:17 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:20 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 - 4*k + 3. Let x be t(2). Suppose x*l + 3*d + d = 657, 5*d = -2*l + 431. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -133. Let d = 5 - 4.6. Which is the closest to -2? (a) 2 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1114 + 1115. Is f greater than -10\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 50 = 3*i - 2*v, v = 1. Suppose -5*s + i = -7. Suppose -s*f + 76 = -64. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 3, 10, 21?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 4 - 4 + (8*q - 17*q + 44*q)*(-5 - 2 + 10) as d + w*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 20510?\nAnswer: 20513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5*14\/7. Suppose 0 = -v + 3*v. Which is the smallest value? (a) k (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 160862?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 5. Let k(j) = -8*j + 11. Give 3*k(p) - 7*l(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 5. Let a(y) be the third derivative of 7*y**4\/24 - 11*y**3\/6 + y**2. Suppose -18 = 112*f - 110*f. Calculate f*r(o) + 4*a(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.232\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2718*t + 2713*t + 2663*t + 2*t**2 - 8094*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -148060732 to the nearest ten thousand.\nAnswer: -148060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13693930 and 460?\nAnswer: 629920780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.26 rounded to 0 dps?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149532 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/7 (b) 3 (c) -2\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2. Let c(b) = 6219*b + 27. What is c(p(t))?\nAnswer: -18657*t**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.8 - -48. Let l = 4 - y. Let h = -7\/10 - -1\/5. What is the third smallest value in h, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 5:20 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let l(g) = -7*g + 8. Let p(i) = -l(i) - 5*o(i). Let w be p(5). Solve -2*k - w*k = 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/84 - 10*u**3\/21 + 50*u**2\/7 + 20*u. Let m(d) = 0. What is d?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101011101101111110 (base 2) to base 8.\nAnswer: 6535576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 17 - 3. Suppose -3*l = z*k - 31, -4*l = k + 2*k - 45. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*k - a + 2, 0 = k + 3*a + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-253)\/(-23))\/22*42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 5*w - 4. Let f be s(3). Let g be (-8)\/(-10)*f\/(-8). Let t = -9 - -11. Which is the closest to 0.1? (a) -2\/7 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 23. Suppose 2*u - 4*u + 2*o + 12 = 0, -v*u + 2*o + 27 = 0. Let n be 5 - 1 - (-2 - -6 - 5). Solve -3*g - n = 1, -3 = -u*q - g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*j - 1, -3*m + 4*j - 3*j - 18 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-14)*21\/9*3. Find the second derivative of t - 6*t**3 - 2*t**3 - 1 + 8*t**3 - t**c wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a + 21. Let o be j(-11). Let u be (-37)\/(-39) + 60\/o. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 5, p: 2, w: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1259 by 4.\nAnswer: -1259\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15537716 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b**(-2)*(b**(-2\/3))**(-6\/35))\/(((b*b*b**(-6)\/b)\/(b*b\/(b**(-2\/5)\/b)))\/(b**(1\/4))**(1\/2)) assuming b is positive.\nAnswer: b**(2139\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 10*p + 139. Let d = p + 110. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 351101, 1404274, 3159563, 5616968, 8776489, 12638126?\n\"Answer: 351058*l**2 - l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77720290 is divided by 588790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8048 = -2*o, 2*o - 1659 = -p + 358. What is the remainder when p is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -20*i**2 - 1053*i + 17. Let a(f) = -7*f**2 - 351*f + 6. What is -17*a(d) + 6*x(d)?\nAnswer: -d**2 - 351*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 209, 312, 415?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16613, 16614, 16615, 16616?\n\"Answer: t + 16612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 5*u + u)*(53 + 5*u - 53)*(268*u**2 - 3138*u + 3138*u).\nAnswer: 2680*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2*(-7)\/((-56)\/(-12))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/7))**5\/(c\/c**16)**(2\/7) assuming c is positive.\nAnswer: c**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22891 - -39320. What are the prime factors of m?\nAnswer: 7, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 16*h + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 2 + 5*p**2 - 3*p + 2*p**3 - 5*p**3. Let x be k(4). Suppose -2*w - x = -16. Solve 0 = w*l + 1 - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 7*y + 11. Let r(b) = -2584*b + 0 + 1 + 2585*b + b**2. Suppose 2*h + 0 = 2. Let x(o) = h*n(o) - 4*r(o). Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 527902315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27876 is divided by 107?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 432\/(-672)*(39\/(-9))\/13?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 3*p**4 - 2*p**3\/3 + p + 1. Let j = 109 + -95. Suppose -g + 0*g = 2*y - 6, 2*y - 4*g = -j. Calculate f(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3108 + 10362. Suppose -6962 = -8*a + w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.078, -0.2, 2, 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3 = 149*m - 9, -5*i + 20 = -4*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2032 (base 10) to base 9.\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 840173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - v**3 + (2*v + 3*v**2 + v - 6*v**2)*(-7 + 2*v + 7).\nAnswer: -7*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, d: 3, z: 5, w: 1}. What is prob of picking 2 z and 2 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 19 = -3*v - 1, 4*m + 2*v = 40. What is the least common multiple of 4 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 185*x**2 + 0 + 68*x**2 - 2*x - 21*x**2 + 1. List the prime factors of n(1).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 24\/3) + 0. Let j = 10 + l. Solve p - 5 = -j*t, -2*p + 11 = 5*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**5\/50 - 137*m**4\/30 + 187*m**3\/5 - 423*m**2\/5 - 280*m. Factor o(u).\nAnswer: -2*(u - 3)*(u - 1)*(u + 141)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*j + 45, 0 = -5*a + 3*a - 3*j + 8. Suppose -s - a = -3*s + 3*h, -5*s = 5*h - 5. Suppose 4 - 2 = s*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166137.\nAnswer: 3, 79, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 24640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 11*s**2 - 30*s**2 + 37*s**3 - 5*s**2 + 16*s**2.\nAnswer: 37*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9173 (base 13) to base 8.\nAnswer: -1124756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8727*s**2 + 37. Let w(k) = -1746*k**2 + 8. Determine -3*p(q) + 14*w(q).\nAnswer: 1737*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**3 - 2*l**2 + 2*l. Let t be c(-3). Let y = -23 + t. List the prime factors of y.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g + g + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 - 4*s - 1. Let g(q) = -6*q**3 + 2*q**2 + 10*q - 5. Determine -c(u) + g(u).\nAnswer: -3*u**3 + 2*u**2 + 14*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s\/(s*s**(-17)))*s*s**17*s**(-2\/107)*s**(-2\/19))**(-3\/7) assuming s is positive.\nAnswer: s**(-23640\/14231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x - 5. Give g(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 23*n**7\/2 - n**5\/30 + 27*n**4\/4 - n**3\/3 - 95*n**2 - 12. Find the second derivative of d(j) wrt j.\nAnswer: 28980*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/88 and 23\/94.\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -24 + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0299 - 0.0891. Let w = -0.085 + 0.05. Let l = b - w. Round l to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7 = 5*r, 3*r + 5*b = r - 4. Let k(w) be the second derivative of 1\/4*w**4 + 0*w**2 + 0*w**3 + 0 - r*w. Let z(m) = -2*m. Determine k(z(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 1. Suppose -6*g = -2*g - 4. Let k(x) = x**2 - x + 1. Let c(d) = g*z(d) + 3*k(d). Differentiate c(w) with respect to w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71539.\nAnswer: 13, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16.3 times 0.07\nAnswer: -1.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.967938 take away 91679?\nAnswer: -91806.967938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -737 - -444. Let z = n - -3807\/13. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, -3, -24, -47, -72, -99, -128?\n\"Answer: -n**2 - 16*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 125 = 3*i + 30, -3*p + 5*i + 171 = 0. What is the remainder when p is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.005 - 5. Let j = -2.895 - c. Let n = j + 2.89876. What is n rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63584.9884 to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -4.22. Let z = k - 2.2. What is the nearest to z in -1, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*r - 11 = 0, -2*j + j - 23 = 5*r. Let q be 0\/(j - -2*1). Suppose -g + 6 + 1 = q. Calculate the least common multiple of g and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.66 - -0.03. Let n = 0.21 + j. Let l = n + -0.899965. What is l rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-5) + -2 + (0 - -2). Suppose 219 = 3*x + v + 2*v, -3*x + n*v = -219. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -36*k**3 + 180*k**2 + 14*k - 68. Give p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 (base 9) in base 3?\nAnswer: -120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 12*z**4 - 152*z**3 + 336*z**2 - 160*z = 0.\nAnswer: 0, 2\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -2\/5, -3\/4, 10851, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -17*k - 182 - 1\/2*k**2. What is x(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkka. What is prob of sequence kkff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3057, -2980, -2903, -2826?\n\"Answer: 77*z - 3134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*h - 60, 0*h = -2*h + 3*d + 35. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 <= -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.164 + -3.156. Let o = z - 0.08. Let d = o + 3. Which is the third smallest value? (a) d (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173176924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9890\/9 - 1102. Let i = 317\/99 + r. Put 4, -4, i in ascending order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b - 3*b**3 + 5*b**2 + 2*b**3 - 4*b - 7. Suppose 4*p + 4*q - 8 = 0, 2 + 0 = -3*p - 5*q. What is the tens digit of n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d + 546 + 1214 = 0 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/6 + 2008*s\/3 - 2016032\/3 = 0?\nAnswer: 2008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, -5, -164 in increasing order.\nAnswer: -164, -21, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 80*q - 79. Let l(v) = -81*v + 79. Let k(w) = -5*a(w) - 6*l(w). Is k(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2956 or -4559324\/1543?\nAnswer: -2956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 35*w + 39*w + 1 - 79*w. Let u(d) = -4*d + 1. What is 6*u(c) - 5*y(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 + 3*p**2 + 5*p + 3. Let j be i(-8). Round j to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/3 - 6029*d**2 + 12057*d - 18085\/3 = 0.\nAnswer: 1, 18085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-36)\/364) + -4. Let r = -27 + j. Suppose 2*w + h = -94, -5*w + 6*h = 5*h + 221. Which is greater: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.315 to the nearest integer.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 120717 divided by 54\nAnswer: 4471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687392360?\nAnswer: 2, 5, 17184809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/6 + 15*o. Let y(n) = 32*n**2. Give y(b(p)).\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 770 = -6*k. Suppose k = -0*w + 2*w. What are the prime factors of w?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34281370?\nAnswer: 2, 5, 3428137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -p - 0*p - 29, -5*p = 2*n + 35. Let y = p - -15. What is the least common multiple of 2 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.1 (c) -10 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1510 and -29\/2718.\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + -69 - (27 + 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791 is divided by 663.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255627865 to the power of 1\/2, to the nearest integer?\nAnswer: 15988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (340 - 293 - (17 - -2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 12*s**2 + 14*s - 6. Suppose 322 = 5*p + 92. Suppose -85 = -3*r - p. Determine u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 + 0 + -1). Suppose 0 - y = -j. List the prime factors of j\/(-3) - 301\/(-21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -7 + 4, -2*r = 5*i + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*v**2 + 439 - 439 in the form w*v**2 + x*v + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3264*a - 3*a + 2229*a - 1149*a as p + m*a and give m.\nAnswer: 4341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, 0, 15, 36, 63, 96?\n\"Answer: 3*b**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 289515.7 grams?\nAnswer: 0.2895157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -390*h - 35. Let q be c(-4). Suppose 4*f + 3*z - 2013 - 1032 = 0, z = 2*f - q. What is the hundreds digit of 5*(f\/5)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721106559?\nAnswer: 101, 313, 54443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*d - 915 + 1021 = 2874 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6*h + 143*h + 1060*h.\nAnswer: 1209*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/x**(-3\/2))\/x)*x**21 assuming x is positive.\nAnswer: x**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36889100 a multiple of 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j - 6. Let l be h(-8). Let p = -5 + l. Suppose -v - 5 = c - 13, p*v + 3*c = 40. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + sqrt(120)*-2)*2 - sqrt(120))\/(sqrt(160)*-2))\/((6*1*sqrt(66) + sqrt(66))\/(5*sqrt(11)*1)).\nAnswer: 15*sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*sqrt(72) - sqrt(72) - -5*(sqrt(72) + 0)**2 - (((0 + -1 + sqrt(72) - sqrt(72)) + sqrt(72) + sqrt(72))*-4)**2.\nAnswer: -4264 + 372*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 1, o: 3, y: 4}. What is prob of sequence ook?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 80*b**2 + 260*b - 129. Let c be a(-11). Is 6691 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -38, -53, -64, -71?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 493154059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 2*m**2 - 2*m + 3872. What are the prime factors of g(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -32*j + 72*j - 39*j. Let n(s) be the third derivative of s**5\/20 + s**2. Determine n(v(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/420 and -53\/5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10*b = 11*b + 1886, -2820 = -3*a - 3*b. What are the prime factors of a?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -t - 4*h, -5*h = 2*t - 10. Suppose -t*f - 2 + 17 = 0. Suppose -f*z = -2*z. Which is smaller: z or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222 divided by 2?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57491 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 44 = 5*i - 1330, -3*i + 2043 = 3*h. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4193 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 550981\/7 + -78879. Let o = -167 - t. Which is the closest to o? (a) -5 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1200))*-3.\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 154\/420 + 16\/100*10\/12. Find u, given that -r*u**2 + 7*u + 0 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2521*z**2 - 24*z + 19. Let r(i) = -1255*i**2 - 13*i + 9. Let g(q) = -6*l(q) + 11*r(q). Find the second derivative of g(m) wrt m.\nAnswer: 2642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.241 - -151.059. Let s = i - 164. What is s rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210383277 a multiple of 1864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.0609 + 0.9609. What is the closest to -11 in 1\/2, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = -2*b. Let d(v) be the first derivative of -v + 1\/3*v**3 + 136 - 1\/4*v**4 + 3\/2*v**2. Give d(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 127136, 508540, 1144204, 2034122, 3178288, 4576696, 6229340?\n\"Answer: -y**3 + 127136*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221272508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -40 in increasing order.\nAnswer: -40, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1427 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 - -1830?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 310 - 276. Find the third derivative of -w**5 + 26 + 0*w**5 - 6 + r + w**2 - 18*w**3 wrt w.\nAnswer: -60*w**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 25 = p, -5 = -3*p - p + 3*q. Suppose 32*r - 211 + 83 = 0. Factor -3*g**r - 2*g**5 - 6*g**3 + p*g**5 - 3 + 3*g + 3*g**2 + 12*g**2 - 9*g**2.\nAnswer: 3*(g - 1)**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = -i. Let r = -608 - -1577. Let y = 968.8 - r. Which is the third biggest value? (a) 0.13 (b) -1\/3 (c) i (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) 0.09 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nnunnnnnnnnnnunnnn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*t - 336. Suppose -6*r = -r - 3*b + 159, -2*r - 4*b = t. Let f = -20 - r. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1096\/12)\/((-1)\/(-3)). Let n = q - -133. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154 - 154 - 30*m**2 - 21*m**2 in the form d + g*m**2 + h*m and give g.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1 - 6 + 27 + g**2 + 3 + g. Give v(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*y**2 + 158*y**2 + 119*y**2 + 279*y**3.\nAnswer: 279*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 445155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19656 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/31 + -399\/775. Let j = 1\/70236 + 210703\/351180. Which is the nearest to 0? (a) -0.1 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 10*r - 14*r. Let f(b) be the second derivative of 0*b**r - b + 0 + 1\/6*b**3. Let o(z) = z. Give o(f(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 2412*i**2 + 2555*i - 83947. Give x(604).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 11*a**2 + 154*a + 18. Let o be t(-8). Which is smaller: o or 83\/59?\nAnswer: 83\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 184.0615245 microseconds?\nAnswer: 0.00000000030433453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + -5 - -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37\/119 + 3\/7. Let p = 0.06 + 3.94. Which is the biggest value? (a) r (b) -1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1\/2*2. Let w(u) = -u**2 - 33*u - 51. Let m be w(-23). Suppose -l*c + 5*d = -m, 0*c + 155 = 3*c + d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Suppose q + g + 2856 = 5*g, -3*q + f*g = 8575. Let x = -2010 - q. What is x rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1039883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1053200 (base 6) to base 8\nAnswer: -151140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {t: 7, r: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 34*o**2 - o + 1. Let n be w(1). Let b be ((-6)\/12)\/((-1)\/n). Suppose 3*k - 46 = b. 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: Suppose 0 = -5*f + r + 116, f + 4*f + 4*r - 136 = 0. What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -40.\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 73*m + 134 = -0*m + 9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-2 + 0)) + (146 - 145).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 211 - ((-221)\/(-34) - 5\/2). Let u = -113 + d. Calculate the remainder when u is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqxqxxgvqqvnxnxxxlnn. What is prob of picking 2 x and 1 l?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6384\/5852*154\/70\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 740\/3465 + -2*6\/66. Let d(o) be the first derivative of -1\/42*o**4 + 4\/21*o**2 - 8\/21*o - 5 + p*o**3. Solve d(i) = 0 for i.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = 3*d + 13*n - 56, d - 8 = -2*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2855 and 23\/55.\nAnswer: 31405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 99. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1171*r**3*v - r**3*y - 1922*r**3 + 2*r**2 - 2*r*y - 2*v*y + 309678*v wrt r?\nAnswer: -7026*v - 6*y - 11532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/105)\/((36\/15)\/4). Let q = 0.9 + -0.8. Let z = -1.94 - 0.06. What is the nearest to z in q, 3, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*b = -39*b - 275 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43146, -172692, -388602, -690876, -1079514, -1554516?\nAnswer: -2115882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.8 and -3.48909?\nAnswer: 1.31091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-34 - -96 - 35)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 23*d = -318. Suppose d = 13*g - 24. Solve -3*s + 25 = g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/(-165) + 5212\/44. Solve 0 = 121*q - h*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2745*s**2 + 5485*s**2 + 16*s - 2747*s**2.\nAnswer: -7*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u - 3*o, 6 = -5*u - o. Let n = u + 1. Solve n = 5*q - 12 + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 552*d**2 + 554*d**2 + 72 + d**4 - 56 in the form l*d + b*d**4 + g*d**2 + h + t*d**3 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77835.\nAnswer: 3, 5, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + -18.4. Let k = p + 17. Let j = k + 0.2. Which is the third biggest value? (a) j (b) -0.2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/110 and -47\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1150)\/(-9775))\/((-52)\/1428).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b52 (base 13) to base 14.\nAnswer: 49c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075412 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -33. Let y = 1\/32 - 35\/96. What is the biggest value in i, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9838 + 9860. Solve 4*k - x = u - 19, 9 = -k - 3*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38\/5*l - 2\/5*l**2 + 0 = 0. Calculate l.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -150*c**3\/7 - 451*c**2\/7 - 303*c\/7 - 2\/7 = 0?\nAnswer: -2, -1, -1\/150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 32 = 4*l - 2*n, 3*l = 5*n + 29. Factor -12*i - 3*i**5 - 39*i**3 + 36*i**2 + 24*i**4 - 6*i**4 - l + 3.\nAnswer: -3*i*(i - 2)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622349503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 163?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4\/3 - 470*q**3 - 92105*q**2\/3 + 343100*q - 2664500\/3.\nAnswer: -5*(q - 5)**2*(q + 146)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1184, 0, 16 in descending order.\nAnswer: 1184, 16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.252 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/2 + 2*w**3\/3 - 5*w**2\/2 + w. Let b be s(-6). Let g = b - 133. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - p - 1. Let i(b) = b**3 + b**2 + 2. Suppose 0 = 3*d + 17 - 5. Let k be (-6)\/8 - 11\/d. Let w(l) = k*q(l) - i(l). What is w(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 71*a**2 + 10*a. Suppose -3*c = -4*q + 14, -4*q = 2*c + 8 + 28. Let h be b(c). Round h to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 325 + 164 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-165))\/((189\/(-6))\/7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5160 - 2448. Suppose -u = 4*z - 5*u - a, 0 = 5*z + 5*u - 3410. List the prime factors of z.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**3 + 4*i**2 + 5*i - 18. Let u(d) = -d**3 - d**2 - 1. Let c(m) = n(m) - 5*u(m). Let p(y) = 10*y - 1. Let t be p(1). Does 11 divide c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 1, e: 2, s: 3, q: 3, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 + -98. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(944\/32))\/(85\/(-10)*2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359 + -286. Determine f, given that -f**2 + 8*f + 87 + 3*f**2 - 13*f - x - 11*f = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(3*v + 7*v - 6*v)*(-232*v - 2*v**4 + 7873*v**3 - 7873*v**3).\nAnswer: 16*v**5 + 1856*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*s - 17, -c + 527 = s + 522 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*h - u - 2, h - 11 = 2*u. Suppose 0 = 3*n - 2*n - 5, h*n - 9 = 2*g. Let f be (-4)\/(-16) + 34\/(-8). Put g, 4, f in decreasing order.\nAnswer: 4, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*t + 149*t + 150*t - 30*t + 301*t to p*t + x and give p.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 157. Let l = x + -153. Is l less than or equal to -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 165984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 545978219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-7 - -7 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-52)\/6)\/((-5)\/3030). Suppose 3*v - q = -v. Suppose 18*b = v + 973. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32314643 (base 7) to base 5.\nAnswer: -1201313241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1177 and 1794.\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293752?\nAnswer: 2, 73, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3*m**2 - 4*f**3 + 15*f*m - 1152*m**2 wrt f.\nAnswer: 6*f**2*m**2 - 12*f**2 + 15*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -19. Let i = u - -8. Which is the second biggest value? (a) i (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -2615901352.\nAnswer: -2615901346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15118729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(1152\/(-24)))\/(-25*20\/(-30))?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71146399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 873000 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-473)\/(-1))\/((-2)\/(-98)). Let t be -2*((-266217)\/(-14))\/(-3). Let o = a - t. Round o to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50293, 201186, 452673, 804754, 1257429?\nAnswer: 1810698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-2 + 6)\/(-688))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-270))\/(8\/((-96)\/(-1)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12083556 is divided by 1114.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/4245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 36 = 7*p. Is 13 a factor of p\/6*(-104)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l - 5*p, 2*l + 6*p = 2*p. Let x = 36 + l. Suppose a - x = -10. Calculate the greatest common divisor of 32 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Suppose -5*d - u = -29, 4*u - 5*u - 21 = -w*d. Suppose 2 = 2*c + 6, -249 = -t - d*c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-4)\/2)\/(-2))\/(-2). What is the third smallest value in 4, l, -27\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/27532348 and -1\/845966.\nAnswer: 302855828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5.4. Let w be 3*(-3 + 1 + 3). Let h = -2 + w. Sort s, 0.5, h in decreasing order.\nAnswer: h, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*-6*(sqrt(1872) - sqrt(1872)*-2*3 - sqrt(1872)))**2 + -1.\nAnswer: 1728*sqrt(13) + 2426115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*f - 10, 5*f + 5*a = -0*f + 35. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 17 + 25 = 0. Suppose 4*y + 5*c + j = 7, -5*y + 3 = -4*c. What is the common denominator of 83\/4 and (-180)\/(-14)*y\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.05 in -2, -0.01, 0.3, -8\/55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2591*v - 75165. Calculate i(29).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445568?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94217355*f**4 - 49656090*f**2 wrt f?\nAnswer: -2261216520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*q**3 - 126*q**3 + 3*q - 191*q**3 - 4*q + 7*q.\nAnswer: -11*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = -39*i + 40*i - 2*v, 3*v = 9. What is the greatest common divisor of i and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 48\/43, 1?\nAnswer: 48\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -47)\/(-5) + (-1 - -4). Calculate the greatest common divisor of 30 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + b - 8 = 0, 8 + 4 = 5*x - 2*b. Factor 100*h**4 - 5*h**3 + h**3 - 104*h**x + 8*h**2.\nAnswer: -4*h**2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -79, -207, -377, -583, -819, -1079?\n\"Answer: w**3 - 30*w**2 + 3*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(325) + -1 + sqrt(325))**2 + 3 + (1*sqrt(637))**2 + (sqrt(91)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: -60*sqrt(13) + 1962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d - 6 = 2*y, 5*y + 12 = d. Let k(p) = p**2 - 8*p - 29. Let l be k(11). Sort -5, l, -2, d.\nAnswer: -5, -2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from vvmvmvvmvvvvvv.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0*x**2 + 11\/42*x**7 + 0 + 3*x - 1\/6*x**4 + 0*x**6 + 0*x**5 + 0*x**3. Find the third derivative of v(p) wrt p.\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 250\/1375 + ((-552)\/(-198))\/((-4)\/6). Put x, 0, -233, -5 in decreasing order.\nAnswer: 0, x, -5, -233","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4490799, 4490755, 4490683, 4490583, 4490455, 4490299, 4490115?\n\"Answer: -14*t**2 - 2*t + 4490815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4212085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4674 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39108697?\nAnswer: 39108697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szzszsss. Give prob of picking 3 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 115890 at most 115891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - 8*k - 21*k + 38*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zckeez. What is prob of sequence ezck?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 5*r - 18128. Suppose -3*m = 2*p - 1213, 4*m = -0*p + 5*p + r. Let l = m + -212. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -372, -345, -290, -195, -48, 163, 450?\n\"Answer: 2*j**3 + 2*j**2 + 7*j - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t = 288. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + a**3 - 3*a - 3 + 2*a - 1. Let y be g(-4). Let l be y\/1 + (3 - -53). What is the greatest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 21*u**2 + 111*u + 743. Determine c(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -25371.\nAnswer: -5074.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 2 (c) 1 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 372*q**2 + 12662*q + 41280.\nAnswer: -2*(q - 32)*(q + 3)*(q + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4 = -4*j, -s + 4 = -3*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 20*x - 704.\nAnswer: 4*(x - 16)*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**2. Let k(p) = -2*p**2 - 35. Let u(b) be the third derivative of b**5\/60 + b**3\/6 + 246*b**2. Let r(l) = -k(l) - 4*u(l). Determine x(r(c)).\nAnswer: -36*c**4 + 1116*c**2 - 8649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -295.999999939 + 296. Round a to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-72)*(-8)\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -1\/24*g**4 + 0 + 3*g**2 + 0*g**3 + 0*g. Let u(r) = 0*r**2 + 0*r**2 - r**2. Give u(n(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2099 = -2*g, -g + 447 = 3*r - 812. Let f = r - 232. Suppose 2*i - 4 = -2*i, 2*i - f = -5*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -5*((sqrt(252) - (sqrt(252)*-2 - sqrt(252))) + sqrt(252) + sqrt(252)))\/((sqrt(225) - 2*sqrt(225))*4).\nAnswer: 29*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(2\/8). Suppose -3*z + 45 + 6 = 0. Suppose 5 = -3*i + z. Solve p*v = i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-27)\/f*f)\/f**(2\/11))**(-2\/25) assuming f is positive.\nAnswer: f**(598\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 598*g + 1. Let t be l(1). Let m(i) = -2*i**3 - 8*i**2 - 18*i - 9. Let b be m(-7). Let o = t - b. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/17 + 314*f**2\/17 - 2296*f\/17.\nAnswer: 2*f*(f - 7)*(f + 164)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(16\/3)*8\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824476269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**3 - 20*k**2 - 14*k + 11. Let o(l) = -3*l**3 + 7*l**2 + 5*l - 4. What is 11*o(t) + 4*y(t)?\nAnswer: -t**3 - 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 10*v - 6. Let o be x(-4). Let t = o + -13. Suppose b - 5*g = -14, 4*b - t*g = -b + 10. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -77*m**3 + 10*m**2 + 11*m + 35. Let o be v(-4). Suppose 5*w - o = -2*f + 4*w, -3*f - 5*w = -7622. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-15) - (-32)\/10. Let i(c) = -2*c + 2. Let n(r) = -5*r + 5. What is p*n(w) - 9*i(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**2 + 349*p - 2637. Give b(7).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**2. Let w(h) = -25*h. Determine w(j(o)).\nAnswer: -225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 275*w - 65*w + 44*w + (-w + 0 + 0)*(-2 - 1 + 0).\nAnswer: 257*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*(-125 - -123).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1359\/(456624\/(-35952))*((1*2)\/2)\/(-1)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 438 = -5*w - 4*m, 4*w = -5*m + 364. Solve -4*y - w = -66 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 1. Let h be -2*(-2 + 1) - -1. Suppose -3*k - 7 = h*j - 4*k, -2*j - 4*k = 0. List the prime factors of w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 3. Let z(r) = 3*r + 12. Let g(u) = u + 4. Let d(b) = 17*g(b) - 6*z(b). Calculate d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**5 - 32*f**5 - 1221*f**2 - 128*f**5 - 20*f**6 + 301*f**5 wrt f.\nAnswer: -2400*f**3 + 8220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69067*n**2 + 2*n**3 - 17*n**3 + 0*n**3 - 8*n**3 - 69067*n**2.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(1075*x - 1075*x - 46*x**2) to h + l*x**2 + o*x and give l.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**2\/5 - 290946*p\/5 = 0.\nAnswer: 0, 96982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 154\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37302509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2183591 * -0.2.\nAnswer: -436718.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -816896 divided by 174?\nAnswer: -408448\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + q - 45 = 0, -4*l = -6*l + 4*q + 36. Let i(z) = -z**3 + 10*z**2 + 23*z + 8. Determine i(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 80*o**2 - 300*o - 9000.\nAnswer: 4*(o - 10)*(o + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 117\/2? (a) 38 (b) -0.33 (c) -1\/9 (d) 3 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -240166*c - 1440928. What is g(-6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 334314 to the power of 1\/2, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 2288*i + 1117620.\nAnswer: -4*(i - 315)*(i + 887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1127 = -4*k, -1435 = -5*k - 8*x + 4*x. Suppose -v - 694 = -5*b, -2*b - 29*v + k = -24*v. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.2, -6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25545122 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 7*p + 22. Let j be s(-11). Suppose j = -c - 16. Let i = -53 - c. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47792, -47177, -45502, -42233, -36836?\n\"Answer: 89*t**3 - 4*t**2 + 4*t - 47881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19303 and 184591?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**7\/105 + 8*k**6\/25 - 181*k**5\/50 - 4*k**4\/5 + 12*k**3 + 15*k + 58. Determine x so that z(x) = 0.\nAnswer: -30, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**3 - 18*v**2 + 5*v + 7. Let j be f(-1). What is the nearest to j in 39, -0.5, 89?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at least as big as 3172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -48*b - 5. What is q(-1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*p - 1 + 9, 3*p = -4*y - 31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14131220 + -21?\nAnswer: 14131144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**6\/60 + k**4\/8 - 3*k**2\/2 - 2. Let u(y) be the second derivative of l(y). Find the second derivative of u(x) wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(2 + (-76)\/36). Suppose -5*k + 141 = -2*m, 3*k + 149 = 3*m - 5*m. Let h = -71 - m. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -24*c**3 - 10*c + 10. Suppose -51*t + 13 = -38. Let r(y) = -y**3 - y + 1. Calculate t*f(v) - 10*r(v).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -38.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(24) + sqrt(24)))\/((sqrt(2) - 2*sqrt(4)\/sqrt(2) - sqrt(2))*-1))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -184895.\nAnswer: 8\/184895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46305, -46271, -46237, -46203, -46169?\n\"Answer: 34*o - 46339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*u + 240 wrt u?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 49 = -b. Suppose 3*n = -0*n + b. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 1) + (31 - -3). Is 31 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 27. Let s = -15 - p. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12554 at most -12763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 8. Let w be f(10). Let h be ((-3)\/w)\/((-5)\/(-20)). Solve 4*c - c + 5*q = -27, -h = 2*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 242 = -7. Let w = h + -18. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6566 divide 1708190862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 q, and 1 k when three letters picked without replacement from ssqsssssksssss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:34 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733108 to the power of 1\/2, to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, x: 7, f: 4}. Give prob of sequence fxf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 1442*g - 1426*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -64451269355.33.\nAnswer: -64451269356.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**19\/j*j)\/j*j*j**2\/j*(j**(-2\/7))**(6\/17))**(2\/9) assuming j is positive.\nAnswer: j**(5212\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11467 rounded to the nearest one hundred?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28410511319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**5 + 21675*u**4 - 13075423*u**3 + 30429889*u**2 - 23164968*u + 5788836 = 0. Calculate u.\nAnswer: 2\/3, 1, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4 - 1212*k**3 + 2930886*k**2 + 14679712*k + 11747616 = 0. What is k?\nAnswer: -1549, -4, -1, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0*c)\/c**(-1\/4))\/((c\/(c\/c**(2\/9)))\/c*c*c\/(c**(-4\/3)\/c*c)) assuming c is positive.\nAnswer: c**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 26. Let t be r(6). Find the common denominator of 27\/8 and 1710\/(-200)*t\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 603 (b) -5 (c) 0.7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 669 + 1363*g**3 - 2763*g**3 + 3805*g**3 wrt g?\nAnswer: 7215*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28416 + 45114. What are the prime factors of z?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 554 - -2245. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (151\/(-11627))\/(2\/(-44))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - 114.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14567832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - c - 2)*(-1 - 5 + 4) + 3*c + 4*c - 5*c + (-1 + 2 - 5)*(2 - 2 - c) + c + 2*c - 2*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 2 = -28*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1804112737 + -1804112745.72000521. Let l = 8.72 + x. Round l to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29635261 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13259 (base 10) to base 12.\nAnswer: 780b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j**2 - 35*j**2 - 463*j**2 + 834*j**2 - 2232*j**2.\nAnswer: -1931*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430201368 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {g: 2, h: 1, z: 1, i: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 divided by 257?\nAnswer: -720\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 61*q = 116. Let w = 39 - 118\/3. Which is the biggest value? (a) 0.3 (b) q (c) w (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (90\/(-27))\/(10\/(-45)) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 52*g**2 + 2\/3*g**3 + 0.\nAnswer: 2*g**2*(g + 78)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sccc. Give prob of picking 1 s and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*t - 25 - 27 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 - b + 6. Let j(i) = 6*i**3 - i + 7. Let q(l) = -6*l. Let c = -4 + 3. Let f be q(c). Calculate f*j(d) - 7*h(d).\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 48*t. Let f(r) be the first derivative of r**3\/3 - 12*r**2 + 40. Let x(d) = 5*f(d) + 2*z(d). What is the second derivative of x(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*35765299.\nAnswer: 50071418.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(5 - 5 + 9*d + (-2*d + 0*d + d)*(3 + 2 - 3) - 4*d + 4*d - d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 177*h**2 - 64*h - 50047. Give g(175).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219416 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-236)*(248\/(-155))\/((-11)\/(-11))*5?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-133\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1180048 nanometers to centimeters.\nAnswer: 0.00000001180048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0*g**2 + 0*g**2 - 6*g**2 - 2253*g**3 - 2*g. Let c be k(-2). Suppose -9*p - 3271 = -c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.12 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 61. Suppose 0 = -t*s + 62514 - 14602. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 10. Let s(g) be the first derivative of -d + 1\/4*g - 1\/4*g**3 + 1\/4*g**2. Suppose s(h) = 0. Calculate h.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15))**44\/((l\/(l**(11\/4)\/l*l))\/((l*l*l\/(l*l\/(l**(-3\/8)\/l)))\/l)) assuming l is positive.\nAnswer: l**(-5277\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 6*d + 1 + 6*d**2 - d**3 + 3*d**2. Let a = -22 + 27. What is l(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195266.\nAnswer: 2, 89, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 129403, -0.4, 0.1 in increasing order.\nAnswer: -2, -0.4, 0.1, 129403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + (6*-2*sqrt(80) - sqrt(80)) + sqrt(80) + (sqrt(80) + 4)*3 + -1)**2*5.\nAnswer: -6840*sqrt(5) + 34205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose -190 = -432*a + 209*a + 204*a. Solve -2*t + 15 = t - 3*n, q*n = -2*t + a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/5 + 276*g**2\/5 - 6864*g\/5 + 23232\/5 = 0. Calculate g.\nAnswer: 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**2 - 3*b + 1. Let a be (-697)\/(-34) - (-6)\/4. Suppose a*x = 21*x + 2. What is the tens digit of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z + 17. Let j(u) = -7*u - 8. Let o(h) = -13*j(h) - 6*w(h). Calculate the lowest common multiple of 20 and o(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 486 + 0 - 60\/(-30). Let w = j - 480. Calculate the least common multiple of 7 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/4*(-2)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3014, -10, 4, -19 in increasing order.\nAnswer: -19, -10, 4, 3014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 - 17*p**2 - 2*p - 8. Let i(k) = 9*k**3 - 38*k**2 - 4*k - 16. What is -2*i(l) + 5*z(l)?\nAnswer: 2*l**3 - 9*l**2 - 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 - 2*g + 2. Let f be b(2). Solve 3*z + f = -0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2160, -9319, -21438, -38511, -60532, -87495, -119394, -156223?\nAnswer: -197976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/5 (b) 1\/6 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + u + 60, -3*v + 4*u + 42 = 6. Let j(p) = -p**3 + p**2 + p + 1. Let m(y) = 3*y**3 - 4*y**2 - 4*y - 4. Calculate v*j(z) + 3*m(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/12)\/(w**(-6\/7)\/w*w*w*w*w))**(-17))**14 assuming w is positive.\nAnswer: w**(3179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/12 + (-3)\/12. Suppose -6*k + 3*k = 114. Let f = 40 + k. Solve q = f*q + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 4*z - 6*z + 2*z**2 + z**2 + 5*z**3.\nAnswer: 5*z*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -821*r + 3797. What is the tens digit of j(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -719599 - -719595. Let s be ((-87)\/(-6))\/(1\/(-4)). Let u = -231\/4 - s. Which is the closest to u? (a) 0 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23404049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081642 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*j**6 - 3*j**4 - j**2 + 288*j - 1 wrt j?\nAnswer: 1320*j**3 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -47*a**8\/56 - 3*a**4\/2 - 6*a. Find the third derivative of l(o) wrt o.\nAnswer: -5640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35 times 0.4?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20423 - 224304?\nAnswer: -300232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 23) + -3 + 30\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29246.\nAnswer: 2, 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 12. Let d(z) = -z - 10. Let f be d(w). Let o(k) = 4*k - 3. Let x be o(f). Solve -4*y - 5*r = x, -2*r - r - 3 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/6)\/((-205)\/123)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45919, -91859, -137799, -183739?\nAnswer: -229679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.51, 84?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, o: 2, h: 1, w: 1, c: 1}. What is prob of picking 1 q and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 z when three letters picked without replacement from wwwzzwxzzzxxwwxw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 6:06 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:39 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1739 + -1734. Solve z = -3*v - 4*g + 2, 2*v - 5*g = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12323107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 99*b + 100*b = 2, -35*b = s - 774 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7649, 898, 0.8?\nAnswer: 898","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 735\/(-175) + 8\/(-10) + (-322)\/(-2). Calculate the greatest common divisor of 4628 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -565 - 15c8c?\nAnswer: -16524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3 = 4*k + 11, 0 = 2*l + 2*k + 12. Let f be -37 + (1 - -2) + l. Let m = -16 - f. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1907.6828817 + -129826.0679283. Let j = k - -131733. Let f = -0.75 - j. What is f rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.2 + -56. Let f = -34.2 + y. Let a = -40.4 - f. Sort -1\/2, 5, a in descending order.\nAnswer: 5, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*d - 21. Suppose d + 15 = 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11*((-208)\/176 + (-4)\/(-22)). Suppose -6 = -9*a + n*a. Is (-1)\/a + 319348\/87 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 36 - 4*p - 61 - 195.\nAnswer: -4*p - 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51980?\nAnswer: 2, 5, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**2 + 17*a - 3. Let z be x(4). Solve p = -h - 2, -4*h - 8 = 5*p + z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18006*d**4 - 379 wrt d?\nAnswer: 72024*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 2. Let w(x) be the third derivative of 73*x**5\/60 - 7*x**3\/6 - 3*x**2 + 18. Let y(o) = -q(o) - w(o). Differentiate y(m) with respect to m.\nAnswer: -146*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 + 12 = 0. Suppose -r - 4 = i, -t*i - 18 = 3*r - r. Let c(a) = a - 19. Let l be c(17). Sort r, l, 2 in increasing order.\nAnswer: l, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-4.164\nAnswer: -2.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -3, 1423, -1\/28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -47) + -1 + 43 + -58?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 - 27*y**3 + 105838*y wrt y?\nAnswer: 24*y**2 - 162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + -136. Let z = 2.6 - 3. Sort z, -2\/3, y, 2\/13.\nAnswer: y, -2\/3, z, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 + m**3 + 0*m**3 + (3*m**2 + 6*m**2 - 2*m**2)*(-3*m + 3 - 3) to v + t*m**2 + k*m**3 + f*m and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -495796 less than -4957951\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5 - a**4 - 6*a**3 - 2*a**2 + 5*a + 3 = 0. Calculate a.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5846 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2905963 + -18?\nAnswer: -2905980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 732.9472 micrograms?\nAnswer: 0.0000000007329472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000348 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 2*s - 1. Let d be j(-1). Suppose 2*l + 27 - 89 = 4*z, 2*z - 77 = -d*l. Let x = 2 - 0. Solve -x = 5*b - l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620643700 rounded to the nearest one million?\nAnswer: 621000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h + 5*h + h**3 - 5*h**2 - 15 + 8. Let q be d(5). What is the units digit of (5\/4)\/(q\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1105 - 756. Let n = g - 222. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23798, 52, 36 in increasing order.\nAnswer: 36, 52, 23798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/23 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.07.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1332 - 12?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + 153. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 7*a**2 + 2*a - 10. Suppose -c = 3*c - 3*k + 25, c - 3*k = -4. Is w(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 12 = 0. Suppose 3*m = -f*k + 118 - 40, -5*m + 5*k = -95. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.425 + -1.925. Put -2\/5, 0, d, -0.025, -1 in descending order.\nAnswer: d, 0, -0.025, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 540240 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39 and -3.751.\nAnswer: 35.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 432?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-235 - -237) + -2 + -37\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16709402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5964, 23861, 53684, 95427, 149084, 214649, 292116?\n\"Answer: -l**3 + 5969*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -488 - -534. Let i(q) = q**2 - 41*q - 135. Let o be i(l). Let u(f) = -6*f - 4. Let t be u(-7). What is the greatest common factor of t and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1374 - -2237. Let c = -414 + n. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 109?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/20 - 7*k**4\/12 + k**3 + 2*k**2 - 23*k. Let v be t(6). Solve r - j = 1, 3*j = -v*r - j - 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 45 = -3*z + 57, 0 = -3*i - 9. Calculate the remainder when 1557 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29326\/65 + 7680\/13. Let p = -140 + l. Which is the nearest to 2\/5? (a) -2\/7 (b) -3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 712 and 153792.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*m**3 + 9*m**2*z**3 - 3*m*z**3 - 6*z wrt m?\nAnswer: 42*m + 18*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -459\/2*m - 70227\/2 - 3\/8*m**2.\nAnswer: -3*(m + 306)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s**3 + 4*s**2 + s - 3. Let v(j) = 7*j - 5. Let f be v(1). Let l be n(f). Suppose l = u - 0*a + 4*a, -5*a = -5. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - 18. Is 20 a factor of 398*9\/30 + n\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0\/(-2))\/2)\/2. Suppose 1 = -j + 5. Solve -4*p = y - 11, 0 = 2*y - s*p - 5*p + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o + 7. Calculate the remainder when 103 is divided by y(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 2, o: 1, m: 3, x: 10, j: 2}. Give prob of picking 2 f, 1 x, and 1 o.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 24, 2, -59, -2, 35.\nAnswer: -59, -2, 2, 24, 27, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000204605 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6515 + 2*s + 6536 + 0*s)*(0*s**3 - s**4 - 2*s**3 + 7*s**4).\nAnswer: 12*s**5 + 122*s**4 - 42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a496 (base 16) to base 7.\nAnswer: -15420213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -1\/3 (c) 1\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(420))\/sqrt(12) - (sqrt(35) - (sqrt(875) - (sqrt(875) + (sqrt(875) - (sqrt(875) - 1*sqrt(875)))))))\/(sqrt(1008) - 5*-1*sqrt(1008)) + 5.\nAnswer: -5*sqrt(5)\/72 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -1. Let y be 1*-42*(-12)\/18. Let t be 7\/(y\/(-8)) - -4. Solve -t*c = a - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -11*n**8\/168 - 7*n**5\/60 - 27*n**2. What is the third derivative of m(l) wrt l?\nAnswer: -1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5453?\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1684 + 544 = 613*g + 1312. Let y(i) = -i - 4. Let t(w) = -9*w - 13. Let j(c) = 5*c + 6. Let q(n) = 5*j(n) + 3*t(n). Calculate g*q(f) + 9*y(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 642.2255?\nAnswer: 3211.1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 5*d**2 - 5*d + 5. Suppose 3*f = -1 - 14. What is the units digit of g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 412 - 0?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 800, -2\/3, -3 in descending order.\nAnswer: 800, 0.4, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, 1 f, and 1 k when four letters picked without replacement from {b: 2, m: 1, k: 1, f: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.9190989 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15)\/f*((f*f**(2\/3))\/f)\/f*(f\/((f**9*f)\/f))\/f**1)**(-18) assuming f is positive.\nAnswer: f**(918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5646, -6240, -7566, -9990, -13878, -19596, -27510?\n\"Answer: -61*r**3 - 167*r - 5418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/11)*v\/v**(29\/2) assuming v is positive.\nAnswer: v**(-303\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -293233923522 - -2481.\nAnswer: -293233921041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 328*t - 360*t + 268608. List the prime factors of t.\nAnswer: 2, 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/(-9) - 3\/9. Let a be d\/(-2) + 3 + -1. Suppose -20 = -a*o, o = 3*r - 11 - 41. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - 0. Let n = -12.2 - j. Which is the closest to n? (a) -0.5 (b) -2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 0 + 0 + 3*b - b - b + (0*b + 4*b - 3*b)*(2 - 1 + 1) + b + b - b - 2*b - 2*b + 2*b + (-2 - 5 + 3)*(2*b - 4*b + b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -24, -12, -1\/2, 12, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 1009 + 2546*j - 318*j - 624*j**3 + 551 + 128*j**4 - 4*j**5 - 88*j**2 = 0.\nAnswer: -1, 3, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 + -97. Suppose -w - 12 = -8*x. Suppose 3*d - 12 = 2*u, 0*u = 5*d + u - 7. Solve -3*f - 4*i = -x*f - 1, d = -2*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1770 is divided by 401.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 1 - 7. Suppose 2*s = -2*a + 2, 2*a + 5*s = 4 - 5. What is the third derivative of -6*g**6 - 2*g**a + 0*g**k + 4*g**6 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236096950 to the nearest integer?\nAnswer: 35158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4310103664 - -2.9\nAnswer: 4310103666.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/28)\/(10\/(-35)). Suppose 0 = -6*u + y + 8. What is the derivative of 17 - 15*h**3 + 5*h**u + 5*h**3 wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -1069, -3140, -7153, -13756, -23597, -37324, -55585?\nAnswer: -79028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90687\/4 - 22670. Let 1\/4*d**5 - c*d + 3\/2*d**3 - 1\/2*d**2 + 5\/4*d**4 - 3\/4 = 0. What is d?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 955 - 546. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2138)\/(-12) + (-8)\/48.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*h - 5411 - 56563 = 528*h + 233*h for h.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h**(-16)*h)))\/(h\/h**(16\/3)))\/(h**(-5\/3)*h)**(4\/11) assuming h is positive.\nAnswer: h**(-311\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let z be 2\/(-4)*2\/8. Let r = -0.8 + 0.9. Which is the closest to l? (a) -1 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 9. Let w be p(6). Let v be 2*((-2)\/4 + w). What is the second derivative of -2*c + 2*c + 3*c**v + 4*c - 5*c wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, 21.\nAnswer: -1, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e08 (base 15) to base 16.\nAnswer: -c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, m: 1, q: 1, k: 1}. What is prob of sequence kqal?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -178050 or -178065?\nAnswer: -178050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 m when four letters picked without replacement from cmcccmdmmmmccc.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 + q**2 - 4*q + 3. Let p be s(1). Which is the third smallest value? (a) -2 (b) -5 (c) -1\/6 (d) -0.028 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -447? (a) -2\/17 (b) 2.5 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from mwmmmalvmww.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/(-5))\/(-7 - (-685)\/100). Factor -8*z**2 - z - 14*z + 36*z**4 - 28 + 4*z**5 - 45*z + o*z**3.\nAnswer: 4*(z - 1)*(z + 1)**3*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554 divided by -383.\nAnswer: 1554\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**5 + 45*d**4 + 65*d**3 - 45*d**2 - 70*d = 0.\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**2*r*t + 6*h**2*t - 10*h*r - 3*h*t + 2*r*t - 2*r wrt h.\nAnswer: 14*r*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15622700 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*v = -10 - 7, 0 = 3*v - 9. Suppose t*p = -0*p - 35. Let w = -10 - p. Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 38696*w - 19361*w - 19335*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27184 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 33 - 34 - 3*d - 3*d**2 - 4*d**2 to g + v*d + i*d**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12829 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 2}. What is prob of picking 2 l and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111010 (base 2) to base 15.\nAnswer: -1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 18*c + 5. Let p be z(21). What is the common denominator of p\/(-44) - (0 + 0) and -1 - 1*(-13)\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35412 divided by 3\nAnswer: -11804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.612601 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 97719060?\nAnswer: 195438120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 80*j + 349. Let b be q(-5). Is b equal to 4\/2149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82801 divided by 104?\nAnswer: 82801\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = 28*b - 120. Suppose 10*u - 30 - b = 0. What is the second derivative of 13*d**3 + u*d - 6*d - 2*d**3 + 2*d wrt d?\nAnswer: 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -1 - -1 - 1610\/385. Which is the smallest value? (a) 0.01 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52923239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/7 greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 16, 0*t - 2*b = -3*t + 16. Calculate the highest common divisor of 3 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-90))\/(371\/(-20670))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -7*r**4\/24 - r**3\/3 + 2*r**2. Let s be k(5). Is -3*2\/3 - s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1236 = p + 2*y, 2*p - 972 - 1501 = -5*y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.3 (c) 82 (d) 311\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*b**5*q**3 + b**5*q - b**2*q**3 + b**2*q**2 - 40*b**2*q wrt b?\nAnswer: 2280*b**2*q**3 + 60*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) - 49\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 14775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 13*c + 48. Give h(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 7 + 9 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5632 + 6002. Calculate the least common multiple of h and 37.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499822197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x + 10. Solve -4*p + 16 = 0, -3*p = x*o + 2*p - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867 + 842 + 844 - 3395 + 842 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 7742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 + 3)*(-1 + 1 + 12)*(15 + 2*t - 15) to the form a + r*t and give r.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2668*y**3 + 1259*y**3 - 170 - 4*y + 1406*y**3 + 2*y.\nAnswer: -3*y**3 - 2*y - 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.05.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 108684*v + 356. Let b be q(-59). What is b rounded to the nearest one hundred thousand?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9055.\nAnswer: 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13612 (base 7) to base 16.\nAnswer: -e95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.55 + 16.7. Sort -4, 3, z in decreasing order.\nAnswer: 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2948 <= -20630\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 - 2*w**2 + w + 2. Let g(l) = 10*l**3 + 7*l**2 - 3*l - 6. What is -2*g(f) - 7*i(f)?\nAnswer: f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 20*a**2 + 13*a - 18. Determine p(19).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 442438370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, u: 1, k: 2, s: 8}. Give prob of sequence kusk.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19*s**2 - 713*s - 1474. Let h(a) = 8*a**2 - 359*a - 738. Let q(g) = 7*h(g) - 3*l(g). What is b in q(b) = 0?\nAnswer: -372, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18480 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let h(b) = b**3 - 4*b**2 + 2*b - 4. Let i be h(m). Let s = 7 - i. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1596 + -916. Suppose 2*y = -5*z + 6*y + t, -y - 272 = -2*z. Suppose -2*c - z = -444. Calculate the greatest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 3. Let f be w(-3). Let g(k) = 6 - f + 19*k. What is the remainder when g(1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3970218?\nAnswer: 2, 3, 7, 94529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**2\/2 - 4*g - 1. Let u be i(3). Let l = -0.1 - 0. Which is the closest to 1? (a) -0.2 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaao when four letters picked without replacement from {o: 3, a: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x + 2. Let i(t) = t**3 + 6*t**2 - t - 5. Let g be i(-6). Let l be v(g). Let m = 18 + l. Let u(o) = -o**2 + o + 1. What is u(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -43*d**5\/120 + 77*d**4\/24 - 224*d**3\/3 + 170. Let m(i) be the third derivative of f(i). Differentiate m(r) wrt r.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 434, 684, 942?\nAnswer: 1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/8)\/(1\/3). Suppose p*x - x = 24. Suppose n + x = 80. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-6 + (-6)\/(-9))) + -3.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82249 and 6757?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-10) - (-107)\/(-535). Which is the nearest to 1\/3? (a) -8 (b) d (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 25*c - 1. What is a(7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223701 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248*q**5 + q**4 + 11*q**3 + 63173*q**2 + 5.\nAnswer: -14880*q**2 + 24*q + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16905\/2415*((-4)\/(-35))\/(412\/10)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - 0 - (0 + -14 + (-83 - -52 - -49))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3594460.093 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = -l - 5, a = 4*l + 25. Let r(o) = o**3 + 6*o**2 + 2*o - 1. Let y be r(l). Let p = y - -18. Solve -p + 1 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182444024 a multiple of 3448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkhh when four letters picked without replacement from kkkkkhhk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52500 and 568875?\nAnswer: 79642500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5703*b + 466050 = -1467*b for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 9:06 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12 + (-412)\/(-24). Let q = o + -17. What is the units digit of q\/(1 - 0) + 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**3 + 29 + 8 + 8*w**3 - 24*w**3.\nAnswer: -48*w**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.25414 years to millennia.\nAnswer: 0.00725414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16.5 times 255.42\nAnswer: 4214.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*h**2*n - 5*h**2*w**3*y - 6*h**2*w**2*y + 2*h*n*w**3 - 2*h*w**3 - 48*h*w**2 + 3*h*y wrt h.\nAnswer: -68*n - 10*w**3*y - 12*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q - 2*c = -22, 25 = 5*c. Let w be (-3)\/(2*-2 - q). Suppose -w*i - 24 = -4*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316396.\nAnswer: 2, 19, 17321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = -4*r - 8, 3 = -3*o. Let u = -34 - -137\/4. Which is the closest to u? (a) r (b) -1\/10 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/(-21)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62421031 (base 7) to base 8.\nAnswer: -24013667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15562052 by 420596.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1) - -1)\/1. Suppose z = -15*o + 10*o + 15. Suppose -l - 113 = -4*k, -o*k + 17 = l - 59. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 7 (c) 8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**9*b\/(b**10*b))\/(b\/(b**(3\/4)*b*b))**(-1\/37))**4 assuming b is positive.\nAnswer: b**(-155\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84537946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from icpikicpiciipcnncpp.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -q + 2*q - 601, 0 = -4*q + 2*a + 2334. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o + 1. Let i(s) = -s + 18. Let n be i(19). Let v be f(n). Let m be (-7)\/2*(-16)\/v. Solve -5*q = m*p - 11, 4*q = 3*p + 3*q + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5206 = -8*p + 103*p - 61351. What is the least common multiple of p and 30?\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9157.502ml to litres.\nAnswer: 9.157502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310645936 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3369 and 14.\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 4*f**2 + f. Suppose -6*k + 7 + 53 = 0. Suppose -6*t + t - k = 0. Give j(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 1 f when three letters picked without replacement from vrfkrfrvffr?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, y: 2, m: 2, s: 2, l: 2}. What is prob of picking 1 x, 1 s, and 1 m?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, h: 1, x: 2, m: 3, b: 1, g: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m - 3. Let y(b) = -363*b + 77. Calculate -77*i(k) - 3*y(k).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 707 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -345 + 488. List the prime factors of o.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 17*h**2 + 15*h + 11. Calculate the remainder when a(-7) is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzzzzzqqkzqzzkjzzkz. Give prob of sequence zq.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 6:19 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*q + 5. Let c be 2\/(-10) + q\/5. Suppose c = 2*u - 0*u - 2. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/2 - 117*p**4\/2 + 2959*p**3\/2 + 29025*p**2\/2 - 33232*p + 17298 = 0.\nAnswer: -9, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus 60546?\nAnswer: -60545.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 294 = 213 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 10. Let c = 32 - 34. What is the third biggest value in 0.3, 2, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55525.\nAnswer: 5, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 10*i + 9. Let x be z(5). What is the second derivative of 184*m**2 - 96*m**2 - 2*m - x - 90*m**2 wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -29. Solve 0 = y*l - 0*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*s + 261*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10431\/1201 or 9?\nAnswer: 10431\/1201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 + -152?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -927686740*n - 41380523.\nAnswer: -927686740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 82 = -5*z + r, 76 = 4*z + 5*r. Suppose 4*b - 386 = -z. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 1518.\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nanm when four letters picked without replacement from nnnmnmmmmmammamm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -792, -888, -1052, -1302, -1656, -2132?\nAnswer: -2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a factor of 53848547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -8. Sort 5, 0.4, g, 2\/3 in ascending order.\nAnswer: g, 0.4, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 3. Sort 5, o, -1 in increasing order.\nAnswer: o, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919169 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (84\/(-15))\/(8\/(-20)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = -35*h + 26. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*u - 2. Let c be (5\/10)\/(u\/(-6)). Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 0, t - 4*k + 9268 = 5*t. Let r = -690 + t. List the prime factors of r.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3668 and 63.\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*3*(-24)\/18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {i: 1, o: 4, v: 1, a: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(1\/3))\/(n\/((n**2\/n)\/n))*(n\/(n**(-2\/9)\/n*n)*n)\/n*n\/(n*n**1))**38)**(-3\/23) assuming n is positive.\nAnswer: n**(38\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 604 - 430. Is 29 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(2 + sqrt(200)*3 - sqrt(200))*-2)**2.\nAnswer: -80*sqrt(2) + 3201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-15))\/((-6)\/(-15)). Let o(z) = z - 1. Let p be o(n). Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -3)*(-3 + 1). Let l(f) = -2*f**3 + 2 + b*f**2 + 2*f**3 + f**3 + 4*f. Determine l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -135, -369, -603, -837, -1071?\n\"Answer: -234*n + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 127\/13 + 621\/2691\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 304382706 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17.50533 micrometers?\nAnswer: 0.00001750533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -18. Let v(q) be the third derivative of q**6\/120 - q**5\/10 - q**4\/3 + 3*q**3\/2 - 4*q**2. Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 60 = -5*h - 11*f, -90 = -5*h + 3*f. Suppose -9*y + h + 30 = 0. Calculate the smallest common multiple of 21 and y.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 7*p + 18. Let t be o(-9). Suppose 5*k - 345 = -0*k - 3*h, 2*k + 2*h - 138 = t. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14711*o - 2429*o - 58 + 58 as h + i*o and give i.\nAnswer: 12282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2\/6*(4911 + -45 + 27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9709 and -9708 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 30*b + 200. Calculate the remainder when 274 is divided by g(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*s - 6, 7*f + 13 = s + 3*f. Let i be (-216)\/(-22) + 2\/11. Solve -i = 3*d + 2*b, s*d - b + 29 = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 5*o + 4*o)*(-1 + 2*o - 3 + 1)*(-20*o**2 - 28*o**2 + 28*o**2).\nAnswer: -120*o**4 + 180*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*m**3 + 13805*m**2 - 50820*m = 0. What is m?\nAnswer: -924, 0, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302\/3 + -103. Suppose 0 = 6*q - q - 4*g + 13, -5*g = -5*q - 15. Is d equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -195141705 or -585425111\/3?\nAnswer: -585425111\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 17 + 1. Let z(x) = 10*x**3 - 5 - 62*x**3 + l - 3*x - 4*x**2 + 3. Let a be z(4). What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -93, -1063 in descending order.\nAnswer: -2, -93, -1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = 14. Let k = -6695 - -6770. Calculate the greatest common factor of j and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 16*v**2 + v - 5. Let a = 1114 + -1106. Determine i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2598, -5209, -7788, -10305, -12730, -15033, -17184, -19153?\nAnswer: -20910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-4))\/(1\/(-2)). Let p be 4\/(-18)*(-3)\/s. Suppose -3*l + 0*l - 2*r = 7, 0 = 5*l + 4*r + 13. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 218. What is the closest to 0.1 in -0.17, v, -0.2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132853.80272 - 132874. Let g = -20.2 - t. What is g rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -37885, -4, 104.\nAnswer: -37885, -4, 1, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 5. Let o(d) = 6*d - 4. Let t(f) = -5*f + 3. Let a(x) = v*o(x) - 4*t(x). Let n(i) = -5*i**2. What is a(n(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 197, 4, -1 in increasing order.\nAnswer: -20, -1, 4, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) 2.86 (d) -45 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 13. Suppose -3*t - 4*z = -d*z - 13, 2*t = -2*z + 22. Suppose -10 = 2*g - t*g. Solve -w - 3 = -g*w + 4*m, 15 = 5*w + 3*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 54*l - 83. Is b(19) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*v - 5*a - 10831, a - 21673 = -4*v. What is the highest common divisor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 18. Suppose -3*o + 51 = -s*o. What is the highest common factor of o and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3304 - -3306. What is the nearest to y in 4, 2\/27, -2?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 - 7*b - 77. Let m(s) = -s. Let k(v) = 5*m(v) - u(v). Let a be k(0). Round a to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let t(w) = -2*w**3 - 10*w**2 + 12*w + 6. Let a be t(-6). Let u(f) = -2*f - 1. What is a*q(n) - 2*u(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrvv. What is prob of sequence rvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/21 - (-8)\/28. Let y(x) = -6*x - 3. Let t be y(m). Solve 3*b - 3 = 3*i + 18, -5*b + t = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from mmmmmmmmmmmwmmmmwmmm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*r = 28, -2*r - 36 = -4*k - 0*k. Suppose 0 = w - 2*w + 19. What is the remainder when w is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - ((-222)\/30 - 0))*-1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1804 = -4*x - 2*l, 8*x = 5*x + 3*l - 1353. Let t = x + 460. Solve 2*y - 5*y + t = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 69182 = -97619. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 4.6, -95\/18, -2, 0.3, 2 in ascending order.\nAnswer: -95\/18, -2, 0.3, 2, 4.6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 300234 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r + 2 + r)*(-3*r + 2*r - 2*r).\nAnswer: -12*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(9\/(-12)) + 1376\/(-258))*(-50)\/(-75)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*n**3\/7 - 718*n**2\/7 - 596*n\/7 + 48\/7 = 0. What is n?\nAnswer: -3\/4, 2\/27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 2275050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 109. Let m be n(37). Suppose -2\/3*o - 8\/3*o**m + 0 = 0. What is o?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70a595 (base 12) to base 9\nAnswer: 3272155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 - 1793\/7. Sort 1, 4, w in descending order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 6*s. Let p(r) = -155*r**2. Give v(p(d)).\nAnswer: 72075*d**4 + 930*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 3}. What is prob of picking 3 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:07 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14646\/175 - 585\/7. Let o = l + 7\/25. Is o greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {j: 1, t: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -30 (b) 4 (c) -2044 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c*c)**(-4\/13)\/(c**(-29)\/(c*c**(-18\/7))) assuming c is positive.\nAnswer: c**(2608\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 653*m**5 - 3*m**4 - 8*m**3 - 6244*m**2.\nAnswer: 39180*m**2 - 72*m - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/105 - -13\/70. Let r(o) = -o**3 + 2*o + 1. Let m be r(0). Is u > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 108*o - 108*o - 11*o**3 + 0*o**2 + 2*o**3 + 0*o**2 + (-3*o**2 + 4*o**2 - 2*o**2)*(0*o + 2*o - o).\nAnswer: -10*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, 177211 in increasing order.\nAnswer: -5, 0, 4, 177211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*k - 11, 3*a - 1 = -k + 4*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305.7, 39\/17, 5, -41 in decreasing order.\nAnswer: 305.7, 5, 39\/17, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 1. Let g(l) = -12*l + 3. Let r(w) = -6*b(w) + 3*g(w). What is the hundreds digit of r(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -1.77 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -73971400 to the nearest 100000.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.16 times 0.57?\nAnswer: 4.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -29*h**3 + 2*h - 3. Let d be g(1). Let t be 26 + 1\/(2*5\/d). Is t bigger than 117\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-28) - (-7)\/6. Let g be 0\/1*(147 + -146). Put -0.5, g, d, -1 in descending order.\nAnswer: d, g, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256 + 62 - -21 - -29\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 + 4*m - 7. Let h be v(4). Let j be (-12)\/h + 16\/56. Find the third derivative of 420*n**3 - 416*n**3 - 3*n**2 - j*n**2 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 14*q**2 + 34*q - 10. Let h be y(16). Suppose 5*r - h*r + 51 = 0. Solve 0 = -0*t + 2*t + 3*w + 14, 0 = -t - r*w - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581891 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -26, -22, -28, -50?\n\"Answer: -x**3 + 4*x**2 + 3*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4 - 1) + 10 + 1 + -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*v + 14603 + 3305 = 0 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22194454138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + -4*sqrt(95) + sqrt(95))\/sqrt(5) - (sqrt(57)\/sqrt(3) + sqrt(19))*6.\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3400 divided by -142\nAnswer: 1700\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/9 - -1) + (-70 - 5661\/(-81))\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758 = -77*x + 280*x - 866 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2920)\/(-90) + -32)\/(5\/(-3) + 2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*(n\/(n*n*n\/(n**(4\/7)\/n)))\/n)\/(n**(-17)*n\/n**(-4)*n) assuming n is positive.\nAnswer: n**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7842 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122\/21 - -692\/119. Let k = b - 2620\/357. What is the common denominator of k and 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-16)*-2*80. Suppose -4*g - g + u = 0. Suppose -26*b = -31*b + 20. Solve 0 = -2*a - b*m + 20, -5*m + 5 = 5*a - g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -158, -342, -586, -884, -1230, -1618?\nAnswer: -2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 51*j**2 - 74*j - 50. Let p be w(-24). Put -24, -5, p in descending order.\nAnswer: p, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (10 - 11)\/((-1)\/8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (80\/25 + -3)*(-5)\/(-2). Let o(w) be the first derivative of 0*w - 1\/6*w**3 + l*w**2 - 4. What is j in o(j) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2016, 3560, 6134, 9738?\nAnswer: 14372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -17\/6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8490 and 495570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1961604 and 80098830?\nAnswer: 480592980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.333741 + 1.829.\nAnswer: 0.495259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*n = -240, -p + 2*n - 96 = -2*n. Let r = p + 137. Suppose -17 - r = -5*f. Calculate the lowest common multiple of 10 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 11 = 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111002121202 (base 3) in base 11?\nAnswer: 166754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (5 + 1)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94\/5 + 673\/35. Which is the second smallest value? (a) 3\/4 (b) k (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s + 39. Let x be w(-6). Suppose -5*a = -10*a - 25. Sort a, x, 1 in decreasing order.\nAnswer: x, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {a: 1, c: 1, i: 1, y: 1, m: 1, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -62, -134, -202, -254, -278?\n\"Answer: 2*a**3 - 10*a**2 - 56*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-2\/81))**21\/((k\/(k**(-7)*k))\/k*k**(-2\/19)*(k*k\/k**(1\/3))**25) assuming k is positive.\nAnswer: k**(-24133\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*-1*143\/26?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 126 = 4*n + 425, 3*c + 692 = -5*n. Let k = n + 502. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66193 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/36)\/(-4))\/(1\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*t - 94*t = -182*t - 407394. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 - -0.8. Let o = r - 2. Which is the smallest value? (a) -5 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5 - 18*h**4 - 30*h**3 + 122*h**2 + 432*h + 360 = 0.\nAnswer: -5, -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 932520 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -438*d**3 + 552?\nAnswer: -1314*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5559 and 9894.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + 0.06. Let f = d - -0.05. Is f greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381890739 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101772149159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0911214 tonnes in kilograms?\nAnswer: 91.1214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*y**4 + 117*y**3 + 222*y**2 - 63*y = 0. What is y?\nAnswer: -7, -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -41 + 13 - 16 + 39*h - 55*h. Let k be i(-4). Let f be 38\/(3 + -1) + 1. Calculate the highest common divisor of f and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2 + 1. Let f(a) = -10675 + 5*a + 10675. Give f(p(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1172 + 1173. Is t less than or equal to 32\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g**2 + 18*g + 18. Let p(j) = 5*j**2 - 9*j - 9. Let z(u) = 4*c(u) + 7*p(u). Let y be z(7). Calculate the highest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + 0.09. What is the third smallest value in -6, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.112071414 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - t = 3*t + 20, 0 = r - 2*t. Suppose -4*w = -r - 10. Solve -w*f = -10 - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63880941 divided by -2.\nAnswer: 63880941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990 = -49*k + 1284 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 19*y - 24. Let o be t(8). Solve o = -4*u + 124 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 8*j - 8. Let q be t(-8). Let l be (q\/6)\/((-5)\/30). Let d = l + -6. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vccccjvjcjjccv. What is prob of picking 1 c and 3 j?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1584)*-4 + sqrt(1584))**2*-6.\nAnswer: -85590 - 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 57 = 5*v - 0*v, -3*o + 5*v = -73. Suppose -178 = -6*t + o. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 155, 432, 945, 1772?\nAnswer: 2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000711849809 rounded to seven decimal places?\nAnswer: -0.0000712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1990, -2008, -2026, -2044, -2062, -2080?\n\"Answer: -18*s - 1972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 12554540?\nAnswer: -12554551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 1\/3 (c) -5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110678 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*f - 40 = -v, -2*f = 3*v - 55. Suppose 0 = -4*t + 5*c + 289, -v = -c - 4*c. Let a = 140 - t. Calculate the greatest common divisor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232 - 27 - 261*s + 261.\nAnswer: -261*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -190 - 187 + 7*d**3 - 193 - 190 - 5*d + 755 + d**2 as k*d**2 + j*d + f + u*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -646?\nAnswer: 646.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 3 - 3)*(0*p + 0*p - 355*p**2 - 132*p**2) to c + b*p + n*p**3 + f*p**2 and give n.\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52910 rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -951035, 18, -2, -4, -3 in decreasing order.\nAnswer: 18, -2, -3, -4, -951035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -626351\/71 + 8822. Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + f = 30, -5*f + 24 = -l + 3*l. Let s(z) = z**2 + 22*z + 116. Let b be s(-8). Solve 3 = -b*p + l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b4a97a (base 12) to base 4.\nAnswer: 22311003232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -75, -158, -277, -438?\n\"Answer: -p**3 - 9*p**2 - 19*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -140, -142?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from wcwcwwccwwwcwwwccccc?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29770 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhggjjjtgjjgghjjgm. What is prob of sequence hj?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/x)\/x)**(-6)\/(x*x*(x*x\/(x\/x**(2\/7)*x*x))\/x)**(2\/81)*(((x**(-9)*x)\/x)\/(x**(-3)\/x))\/(x**(2\/3)\/(x\/x**(3\/2))) assuming x is positive.\nAnswer: x**(-7001\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2704*o - 17169. Give v(-6).\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 670769.1.\nAnswer: 670769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152016064 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256133 is divided by 202.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*x - 159*x - 176 + 7*x**2 + 108*x as h*x**2 + r + z*x and give r.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18291\/609 + -10 + -20.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:32 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 w when three letters picked without replacement from zzzzwwzzzz.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 26, 15, 0, -19, -42, -69?\n\"Answer: -2*x**2 - x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -422?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m - 9. Let k(c) = 7*c - 2 + 2 - 8*c + 1. Let s(r) = 3*h(r) + 24*k(r). Suppose 4 = j + 2. Determine s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075375783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 2\/3*q**3 + 1\/120*q**6 + 1\/5*q**5 + 0 + 0*q + 11\/24*q**4 + 4*q**2. Let h be f(-11). Solve h*u + 12 = -8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-300 - -378) + -22 + 31\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + 5 + (sqrt(1539)*2 - sqrt(1539))*5 + -3 + -2 + -1*sqrt(1539))**2.\nAnswer: -288*sqrt(19) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(1274)*1 + sqrt(1274) + -5*2*sqrt(1274))\/((-6*sqrt(16)*2)\/(sqrt(24)\/(sqrt(12)\/sqrt(4)))))**2*-6.\nAnswer: -1274\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 33143730*r + 91542236526075.\nAnswer: 3*(r - 5523955)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 112*j - 26. Let z be g(12). Suppose -p + 3*t + 332 = 0, -4*p - 2*t = 60 - z. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -46, 0.6, 0.5, -2, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 267, 524, 869, 1302, 1823, 2432?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2)*w)**(-2\/55))**(2\/79)*((w*w**(-2\/5)*w)\/(w\/w**8))\/((w\/w**(-2\/7))\/w**4) assuming w is positive.\nAnswer: w**(396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -96\/11 (b) -2 (c) 1 (d) 1.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*k - 26 = 0, q + 3*k = -4*q - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 26561?\nAnswer: -26562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1230 - 1199. Suppose 0 = -5*y - 9418 - 692. Let c = v - y. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5848243 times -0.4?\nAnswer: -2339297.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*12*(-4)\/(-8). Suppose 6*s + i = 8*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -839512, -839513, -839514, -839515?\n\"Answer: -j - 839511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -3, -2\/7, 10324\/13 in descending order.\nAnswer: 10324\/13, -2\/23, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/10 + 138\/(-4) - 1. Let d = k - -69. Calculate the lowest common multiple of 39 and d.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (3627\/(-4) + (-4)\/16)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11271672 to the nearest integer?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 8)*(1 - 1 - 1)*(0*r + r + 6*r).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*s + 74*s + 74*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27324, 56489, 85654?\n\"Answer: 29165*f - 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/2 + 6*c**3 + 3*c**2 + 27*c + 132. What is the remainder when f(8) is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, 51, -5 in descending order.\nAnswer: 51, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2)*4*12\/144?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 0*i**2 + 2*i**2 + 8*i**2 - 15*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90819341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 21*r - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 110*h**2 - 104*h + 221. Let u be n(-54). Solve -4*b + 7 = -3*l, -3*b + 1 - 3 = u*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 15*j - 5*h = -2, 5*h + 4 = 9*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = -2. Let r(y) = 26*y. Let i(a) = -5*a. Let o(h) = m*r(h) - 11*i(h). Let c(s) be the third derivative of s**4\/12 - 3*s**2. Give o(c(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 69. Let x be d(17). Let j(h) = 680*h**2 + 1 - 669*h**2 + x. Let z(g) = -2*g. What is z(j(k))?\nAnswer: -22*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5542680 divided by -2470\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + 4*a + 10. Calculate h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Suppose 0 = -3*y + 5*u - 26, x*y - 7*y = 3*u - 4. Let w(b) be the first derivative of -7*b**2\/2 - 3*b - 1. Calculate w(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 98132674.5ns?\nAnswer: 0.00000016225640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -3 in ascending order.\nAnswer: -15, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -96 - (-2579 + 2548).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 6*l**2 + 4*l**2 - l**3 + 2*l**2.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 + 4*q**2 + 4*q - 7. Let u(j) = j**2 + j. Let p(o) = f(o) - 4*u(o). Find the first derivative of p(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -19 + 10 + (-2 - -25)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {h: 4, d: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 3)*(-3 + 4 + 5)*(-7*x**2 + 5*x**2 + 6*x**2).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**6*h**2 - 59*c**4 + 15*c**2 + 2*c*h + 5*h**2 wrt c?\nAnswer: 480*c**3*h**2 - 1416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**7)**(-2\/47))**(-2\/61))**(-16\/7) assuming a is positive.\nAnswer: a**(-64\/2867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 587?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/14, -4, -0.2, -565, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*(-2)\/(-390))\/(10\/(-1075)). Let m = x - -15\/13. What is the third smallest value in -2\/9, m, 0.03, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**20\/m**(3\/25) assuming m is positive.\nAnswer: m**(497\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2413, 2377, 2339, 2299, 2257?\nAnswer: 2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 (base 4) in base 8?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2619 or 13088\/5?\nAnswer: 13088\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1166 - 2855. Let n = l + 1140. Is -548 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 5. Let l be (-2)\/5 - x\/5. Let o(g) = -6*g**3 - 1. Let a be o(-1). Solve -a*r + 10 = l, 3*h - 3*r = 9 - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 15*w + 7*w - 9*w to the form k + r*w and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1650, 2875, 3682, 4065, 4018, 3535?\nAnswer: 2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 32, 2\/11, 0.4 in ascending order.\nAnswer: 2\/11, 0.4, 26, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 42*g**2. Let n(s) = 4*s + 3. Determine n(v(i)).\nAnswer: 168*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.1 - -26.1. Suppose 3*d = 2*d + 3. Put -0.2, h, d in descending order.\nAnswer: d, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -668352*z**2 + 25488*z - 243 = 0. What is z?\nAnswer: 9\/472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s**4)*(s - 2*s + 2*s)*(-1 - 7 - 7).\nAnswer: -30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q + 3. Let b = -133 - -129. Determine p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 + -296. Solve -4*q + 0*q = 2*h - 6, y*q = 4*h + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5089*a = -4334*a + 12253*a - 468288 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 1}. Give prob of sequence rgr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1793 and 85\/1304?\nAnswer: 14344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26610*j**2 + 17*j + 14*j + 26611*j**2 - 31*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*o + 623*o + 148*o + 76*o + 511*o to w + h*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*h + 9, 9 = 19*h - 22*h - 3*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 507183 + -3?\nAnswer: 507180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*c. Suppose c*h - 10 = -2*h. Solve 6 = -5*f - 4, 16 = -3*q - h*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/3 - 1031014*y**2\/3 + 132878372966*y\/3 - 398607282006 = 0. What is y?\nAnswer: 9, 257749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65343*a*c + 165169*c with respect to a.\nAnswer: 65343*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2) + sqrt(2)*2 + 4)*-1.\nAnswer: -3*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 19246*g**2\/7 + 192310*g\/7 + 480650\/7.\nAnswer: 2*(g + 5)**2*(g + 9613)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -0.06 (c) 0.04805 (d) 0.2 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - c - 122 = -3*c, -7 - 6 = -4*u - 4*c + 39 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65 + -8?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3136.\nAnswer: 1\/3136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -14, -28, -42, -56?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 1127?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*1*-28)\/(-1)*518\/518.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362074565 to the nearest integer?\nAnswer: 19028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 2. Let z be 4\/(-5) - 315\/75. Let t(w) = -6*w - 5. What is z*l(m) + 3*t(m)?\nAnswer: -3*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 15 + 15 = 0. Let n(o) = -5*o**2 + o + 15. Let t(u) = -11*u**2 + u + 31. Let g(a) = -13*n(a) + 6*t(a). What is g(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/(-7632)*36*1\/(57\/4)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -22690 + 45380 - 22683 + 16*w. Give y(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -464, -1871, -4220, -7511, -11744, -16919?\n\"Answer: -471*w**2 + 6*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1005 + 60168?\nAnswer: 58163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, d: 4, w: 1}. Give prob of sequence aw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83617 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxwo when four letters picked without replacement from {o: 4, w: 1, x: 4, b: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k - 18*k - 10*k + 24*k. Calculate y(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110630274 + 8458?\nAnswer: 110638732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3838725, -3838714, -3838701, -3838686, -3838669?\n\"Answer: t**2 + 8*t - 3838734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(4*(-4*sqrt(9) - sqrt(9)) - sqrt(9)) - (1*sqrt(200) + sqrt(200) + sqrt(224)\/sqrt(7)))**2.\nAnswer: 510050\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 - 62*y - 1. Suppose 0 = -4*t + 5*f + 71, -57*t + 58*t + 5*f + 26 = 0. Determine o(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 7*h**2. Let p be k(7). Suppose -8*v + 1 + 7 = p. What is the smallest common multiple of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 3*p**2\/2 - 10118. Let j(r) = -194*r + 9. Give j(b(m)).\nAnswer: -582*m + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50432 and 2167?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279.1788 - 0.2212. Let s = -279 - h. What is the third smallest value in s, 1\/9, -1\/2, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -115 + 115 - (-7 - -60).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -1327\/17. Suppose 5*v - 5*i + 0*i = -305, -v = -4*i + 58. Let o = 63 + v. Which is greater: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 + 280. Solve -4*m + 3*o - 12 = 2*o, s = -m + 5*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j - 2*j)*(14 + 0 + 7).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c**5 + 20*c**4 + 792*c**3 - 416*c**2 - 784*c + 396 = 0 for c.\nAnswer: -9, -1, 1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y - 4*x, 59*y = 60*y + 3*x + 6. Suppose 0*d - 3*d = -12. Sort d, -5, 2, y in increasing order.\nAnswer: -5, y, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -840.488 and 1.05?\nAnswer: -882.5124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5264\/(-94) - -58)\/(10\/7).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 10*m**2 + 12*m + 12. Let o be w(11). Calculate the highest common factor of o and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1.3. Let m = 2 - u. What is the nearest to 1\/3 in -5, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 18. Let n be l(13). Let c(a) = -a**3 - 3*a**2 + 11*a + 5. Let s be c(n). Suppose 15 = -3*y - s*y, -5*v + 55 = -5*y. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*c + 5 - 9 = 0, 3*u - 4*c = 4. Let v = 4 + u. Solve -3*y - 2*y + 2 = 4*g, 0 = v*g + 4*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(448)*-1*-2)**2.\nAnswer: 64*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 4*s**3 + s**3 - 5*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43\/2 (b) -1706 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = k + 72 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2104, -2100, -2094, -2086, -2076, -2064, -2050?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3233 = 130*s + 3610 - 2813 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/12? (a) -3 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 9) to base 10\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 7\/6*r**3 - 3*r**2 + 1\/20*r**5 - 13*r + 0 + 2\/3*r**4. Let w be d(-6). Is 26 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 18. Let z be b(-11). Put -4, z, 0.5, 1\/4 in descending order.\nAnswer: z, 0.5, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/13, 3\/5, -391?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 76 = -4*k, -5*k + 13 = -3*k - 3*q. Suppose -3 = -h - 1. Let r = h + k. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2310 = -1056*p + 1126*p for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2 + 22\/99*6*6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2)*6\/(-2). Let h(x) = -x**2 - 7*x + 13. Give h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010 (base 5) to base 8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 = 2*c + 3*p - 330 - 307, 10*c - 339 = -p for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 703 + -386. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 + 7*n - 10. Suppose -2*t + 15 = 11. Suppose t*o - 1 = -7. Let j(w) = -5*w**2 + 7*w - 11. Let s(l) = o*j(l) + 4*p(l). What is s(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.20684 rounded to two decimal places?\nAnswer: 4.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14364.88 + -983299.12. Let m = -997663.2000012 - l. Let o = m + -0.8. What is o rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 11*p**2 - 16*p + 15. What is d(-12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, s: 3, u: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 1584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3790*d**5 + 66*d - 28.\nAnswer: -75800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142226 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800695.725563 - 33?\nAnswer: -1800728.725563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2316 = 2*k + 4*s, -4*k - 5*s + 3506 = -1129. Suppose -31*l = -k - 917. What is the greatest common factor of l and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (25 + 4 + -11 + -2 - 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 403, 2955, 9719, 22765, 44163?\n\"Answer: 345*r**3 + 36*r**2 + 29*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**6\/180 - k**5\/60 - k**4\/8 - 209*k**3\/3 + 201. Let i(w) be the third derivative of y(w). What is i(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiihhhiahihhihhhh. Give prob of picking 3 h and 1 i.\nAnswer: 165\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2*p**(3\/2)\/p)**(-1\/17))**(-2\/79))**(1\/26) assuming p is positive.\nAnswer: p**(5\/34918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -132? (a) -0.2 (b) -0.3 (c) 0.5 (d) 0.3 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1698704?\nAnswer: 2, 7, 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*m**5\/9 + 946*m**4\/9 + 236*m**3 + 1042*m**2\/9 - 245*m\/9 + 4\/3 = 0 for m.\nAnswer: -4, -3, -1, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36608, -38465, -40322, -42179?\n\"Answer: -1857*d - 34751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95357\/20178 - 4\/1121. Calculate the common denominator of g and -47\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 9 + 17 + 493*r**2 + 2*r**3 - 40 + 14 - r to the form z*r**3 + c*r + p*r**2 + g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaataraugarmga. What is prob of picking 1 t, 1 a, 1 u, and 1 r?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126 = 304*i - 2209 - 617 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lldm when four letters picked without replacement from kkdkklbkllkdkddbbm?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 8845?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 15*c**2 + 6*c**2 - 16*c**2.\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 - 669136*o\/5 + 27983936656\/5.\nAnswer: 4*(o - 83642)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 347 + -195. Let i be (-114)\/(-27) + k\/(-36) + 4. Solve -4*s = f + 4*f + 29, 2*s - 18 = i*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 - 5 = 0. Let z(d) = -d**2 - 2 + d**3 - c*d + 0*d**3 + 1 + 2*d**2. What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(192) + 0)*-2 + sqrt(192))**2*6*-3 - -1*(-4 + (3 + sqrt(192) + sqrt(192) + -1)**2)).\nAnswer: -2693 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-10))\/((-16)\/8)*10765 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -31432187\nAnswer: 2\/31432187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 3*r**4 + 2*r**5 - 20*r**5 + 65*r**5 + 4*r**5 + (-r**4 + 0 + 0)*(1 - 2*r - 1) + 2 - 2 - r**5 + 4*r**5 - 13*r**5 - 9*r**5.\nAnswer: 34*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (1 + (-1 - 3)). Suppose -5*g - x*g + 532 = 0. What is the remainder when g is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -124*t + 4878. Let u(d) = -559*d + 19512. Calculate -2*u(k) + 9*v(k).\nAnswer: 2*k + 4878","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from qazdqia.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17848 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/2 - 27*f\/2 + 29 = 0.\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/77)\/(855\/315).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + z = -32, 359*z + 24 = 9*u + 354*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (-4*sqrt(1920) - sqrt(1920)))\/(sqrt(10) + (sqrt(10) - 6*sqrt(60)\/sqrt(6))))**2 + (6*1*sqrt(192))**2 + sqrt(21)\/((1*sqrt(49))\/sqrt(7)).\nAnswer: sqrt(3) + 115155\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/57034 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -33\/5, 73\/6 in ascending order.\nAnswer: -33\/5, 2\/17, 73\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 1, i: 4}. Give prob of picking 2 j and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, -9, -82, -229, -474, -841, -1354?\n\"Answer: -4*o**3 - o**2 + 8*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 771794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 204?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 818*y**2 + 638*y?\nAnswer: 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 43.5. What is the closest to 1 in 0.02, v, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459892 divided by 2\nAnswer: 229946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124291923 is divided by 117.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 517*s**2 + 517*s**2)*(-2*s - 2*s + 2*s)*(-3 - 1 + 6)*(s + 2*s - s).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 48 + 18*c - 71*c + 39*c. Give q(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34200 + -1145.823\nAnswer: 33054.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3 and 41\/25826733.\nAnswer: 25826733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -149. Let j be 5\/20 - -9*7. Let d = j - c. Is 0 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 342, 909, 1358, 1683, 1878?\n\"Answer: -z**3 - 53*z**2 + 733*z - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23594112, -23594121, -23594130, -23594139?\n\"Answer: -9*o - 23594103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/((-2703)\/(-848))*8\/(-14)*28\/(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10226.\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614749 is divided by 5078?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/15 and -27\/93170?\nAnswer: 279510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42765 - 109*v + 42765.\nAnswer: -109*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - 4*m - 2. Let o be w(-2). Calculate the highest common factor of o and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -2, 199, -3\/4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 95445564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/13 + -3\/65. Suppose -4*i + 444 = -2*k + 390, -i - 3*k = 25. Which is the closest to r? (a) i (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**4\/12 + h**3 + 27*h**2\/2 - 7*h + 1. Let v be a(9). Solve v = -3*p - 2*f, p = -4*p - 5*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13. Let k(z) = -z + 38. Suppose -y + 4 = -0*y. Let q(n) = y*k(n) - 11*u(n). Let b(j) = 2*j - 5. Let g(d) = 11*b(d) + 6*q(d). Determine g(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Suppose 0 = 4*w + 5*g - 25 + 2, -4*w = -2*g - 58. Let r = 16 - w. What is the remainder when r is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3220 + 4?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/25 + (-266)\/(-20))*(-35)\/(-42).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*i**2 + 4\/3 + 2*i.\nAnswer: 2*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 7*v - 1. Let d be 2*(-3)\/(-6)*(1 + 2). Suppose 5*x - 2*x = -i - 20, -3*i = -d*x - 36. Give o(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11696 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141225 (base 12) to base 2.\nAnswer: -1010001011111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3)*y)\/y*(y\/y**(2\/3))\/y*(y**(-6)\/y)\/y**(3\/7))\/(((y*y**(-4))\/(y*y*y*(y\/y**(-1\/9))\/y))\/((y**4*y*y)\/(y\/(y**(-2\/3)*y)*y))) assuming y is positive.\nAnswer: y**(127\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(88)\/(sqrt(8)*2) + ((sqrt(11) - (sqrt(11) - (sqrt(11) - sqrt(33)\/sqrt(3))))*6 - sqrt(11)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 9. What is d(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w + 21*w**3 - 5*w + 2 - 14*w**2 - 29*w**3 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 - 8*z + 5. Suppose w - 25 = -4*w. Suppose w*u = 4*u + 5. Give b(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - -2 - 3 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 36523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-110))\/((-8)\/(112\/21)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 4. Let j(d) = -d**2 - 1. Suppose 13*y + 16 = 9*y. Let g be (-2)\/y*(11 + 5). Suppose -g*l + 5 = -11. Calculate l*p(h) - 9*j(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2113718 (base 12) to base 10.\nAnswer: -6247748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = 2*r, -r + b - 1 = -0*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/3 + (-13)\/3. Let d = o - -3. Suppose 0 = -0*c + 2*c. Solve c = -d*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 94077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 10. Let a be c(-3). Let s be (-1 + (4 - 3))*a. Let p = 4 + s. Solve 20 = -p*g + 8*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - l - 4. List the prime factors of j(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/22 - 4\/(-88)*356. Suppose k + h + 5 = 0. Let i(y) = y**3 + 21*y**2 + 10. What is the remainder when 28 is divided by i(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from lvabla?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -229\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34019.06267 rounded to the nearest integer?\nAnswer: 34019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -294 - 12*u - 302 - 487 + 1258 + 2*u to the form d + z*u and give d.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 95?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o - 350. Suppose -3*x + o = -56. Let n be (-2)\/((-2)\/27) - -1. Calculate the greatest common divisor of n and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*u = 3 + 1, -10 = 2*j + 3*u. Let v = j + 1. Which is the closest to v? (a) 0.4 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.73603 centuries in years?\nAnswer: 6973.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, r: 1, f: 2, o: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*z + 315 = 5*k, z = k - 65. Let s be ((-4)\/(-8) + 0)*k. Solve 5*v - s = -37 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2. Let q be (-4 - 1)*9\/(-3). Let s(z) = q*z - z**2 - 15*z. Determine s(w(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(((k\/k**(-27))\/k)\/k)*k**(-18) assuming k is positive.\nAnswer: k**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -654 - -649. Which is the closest to 1? (a) 0.1 (b) -1\/4 (c) q (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 513*s**2 + 13*s - 6. Let z(w) = -1023*w**2 - 22*w + 10. Calculate 5*h(x) + 3*z(x).\nAnswer: -504*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*1 - sqrt(132) - sqrt(132))*4)\/((sqrt(144)*1 + sqrt(144))\/sqrt(12)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(2\/(-7) - 33\/105). Suppose -4 = -q*y + 11. Solve -3*s + 5 = 2*h, y*h - 4*s = -5*s + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62062 and 103509.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/9 and (-4 - 0)\/(-168)*82 - 0?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3575*m**3 + 1153*m**3 - 3271*m**3 + 534*m**3.\nAnswer: -5159*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -81 + 1*(-3 + 4). Let x be ((-3)\/2)\/(8\/z). Let d be -1 - (-2)\/x - (-22 - -21). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 34 = r. Let y = r - 18. Let q(z) = -3*z**2 + 5*z + z**3 + 0*z + 7*z**2 + 3. Give q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -11 + (-37 - -3) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240 - 248. Let g(n) be the first derivative of -7*n**2\/2 - 23*n - 5. Is g(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*a + 56 = -188*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25*(-4 + (-23)\/(-5)). Let m = f + -13. Suppose v = -v + m. Calculate the smallest common multiple of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/14*(-157)\/((-1038555)\/1386)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 3. Let q = -48 + 50. Put u, 4, q in decreasing order.\nAnswer: 4, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 84*x - 5311. What is k(60)?\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137.6 - 139.6. Put -187\/4, -3\/2, s in decreasing order.\nAnswer: -3\/2, s, -187\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9988)\/(-28) + 2\/(-7)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2903 divided by -973\nAnswer: 2903\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 - -12?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*z + 43. What is the lowest common multiple of z and 68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137887 = -249*u - 131662 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-1) + 246\/52. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 9 + 1 = 0. Let c(r) = 82*r**2 - 2*r + 2. Let p be c(1). Let z = p + -80. Solve 0 = -z*l + y - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 5*j**2 - 11*j + 6. Let h be x(1). Let y be 33\/2*(-2)\/(-3). Suppose h*w = y + 213. What is the highest common factor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - o + 1 + 0 = 0, 3*l + 2*o = -5. Sort l, -2, 2, -1.\nAnswer: -2, -1, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191984 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 114. Solve -s + 4 = f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23526)\/(-20) + (-4)\/(-20))*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007164337 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 76ea2?\nAnswer: -76ea1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/(-170))\/(3\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52994.52g in milligrams?\nAnswer: 52994520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = n - 4 - 0, 0 = 4*h. Suppose -k = 5*w - 90, 202 + 218 = n*k + 5*w. Is 55 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(18)\/sqrt(18) - sqrt(9))\/((sqrt(6)\/sqrt(2) + sqrt(3))*1) - (2*(sqrt(192) + -1) + 0)**2).\nAnswer: -4632 + 382*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 433 + -431. Which is the closest to -0.6? (a) v (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*l = -23 + 23 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 98*o**2 + 1073*o + 7*o**3 + 16 - 36 + 2*o**4 - 1068*o as z*o + h*o**3 + c*o**2 + y*o**4 + k and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**5\/20 + p**4\/8 - p**3\/3 - p**2\/4 + 3*p\/4 - 486. Factor m(j).\nAnswer: (j - 1)**2*(j + 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -479.56 + 363.4. Let t = s + 126. Let m = t + 0.16. Which is the second smallest value? (a) 0 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/136 and 109\/170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54797882453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 513780521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 + 100*d**2 - 29*d + 40. Is x(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 121 - 21. What is the remainder when 38 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 163*l - 1. What is the remainder when z(1) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791530 to the power of 1\/2, to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*j = 5*q + 338*j - 52, -4*q = -2*j + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-114)\/264 + 2\/11 - (-6221)\/24868. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219751 is divided by 1679?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 2. Let v be m(5). Let y = v - -7. What is the units digit of 8\/(-1 + y + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (0 - -11 - (-5 + (27 - 0)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 38*r**2 - 232*r - 2574. Determine j(-42).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78667 - 247116. Let t = -168465.0000002 - r. Let m = t + 16. Round m to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*h**5 + 40\/7*h**4 + 0*h**2 - 138\/7*h**3 + 0*h.\nAnswer: 2*h**3*(h - 3)*(h + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/(7628700\/(-80300) - -95).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 18299.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (sqrt(98) + sqrt(98) + 0)**2 - sqrt(98)) - (((1 + sqrt(2) + sqrt(2) - sqrt(2)) + 0)**2 - -1*-3*sqrt(2)).\nAnswer: -6*sqrt(2) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/30 and -1\/83445.\nAnswer: 166890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(3\/(-684)). Let b = 197 + r. Suppose 0 = 2*d + 5*x - b, -4*d - 3*x = -7*x - 152. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -443609600 to the nearest one hundred thousand.\nAnswer: -443600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-3)\/(-6))\/(117\/(-1092))*(-15)\/(-40).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 22 = -20. Suppose -6 = 4*m + s. Let h = 0.4 - -0.1. Which is the third biggest value? (a) m (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -50. Let b be (0\/(h\/(-4)))\/(1*-2). Suppose 2*p + 9 = x, 5*x + p - 12 = -b*x. Let w(z) = -z**2 + 3*z + 3. What is w(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 3.4. Let l = -4.3 - i. Let f be (-12)\/(-8) - 14\/8. What is the smallest value in l, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlvlrrvyrloooao. What is prob of picking 1 r and 2 l?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 5*w**3\/6 - w**2\/2 + 4*w. Give s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2540 and 19380.\nAnswer: 2461260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -780593?\nAnswer: 312237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3774, 4337, 4912, 5499?\n\"Answer: 6*a**2 + 545*a + 3223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 237\/4. Let y = 18 - 12. Let w(j) = j - 5. Let r be w(y). What is the nearest to r in -1\/7, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 7*r**6\/15 - 10*r**2 + 9*r. Find the first derivative of o(g) wrt g.\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v + 1. Let p(b) = 2. Suppose -j + h = 2*j - 11, -27 = -j + 5*h. Let m be 2*3\/(-6) + j. Let a(d) = m*g(d) - p(d). What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -0.7.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211\/51 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11)\/d)**(-9\/7)*(d\/d**(-8))**(6\/5))**(-5) assuming d is positive.\nAnswer: d**(-918\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 12*l**2 - 22*l - 693. Calculate m(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4476307 is divided by 213131?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6 - 10. Suppose -z + 68 = 2*q. Suppose 0 = g - h + 10 - q, 0 = g + 2*h - 31. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/24048 and -53\/1325980?\nAnswer: 47735280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9365843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*y + 13*y - 7*y.\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 10 (c) 197 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 424537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(21\/(-188)) - 8\/12. Suppose -d*g + 64*g - 8 = 0. Suppose -3*n + 2 = 20. Sort g, n, -3.\nAnswer: n, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 - 4314*r + 4.\nAnswer: -4314*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2363849\/510 - -4635. What is the common denominator of s and 43\/816?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.29, 0.3, 5, 1\/5.\nAnswer: -1.29, 1\/5, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/2 + 7*w**2 + 14*w. Let r be q(4). Differentiate 10*c**4 + 20 - 5*c**2 + 3*c**r + 2*c**2 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/2 + 18*l**4 - 98*l**3 + 181*l**2 - 285*l\/2 + 41.\nAnswer: (l - 2)*(l - 1)**3*(l + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 - 6*x - 1. Let r(z) = -2*z + 30. Let c be r(14). Let p be u(c). Solve -5*m + p*m = -10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2461\/7 - 352. Which is the nearest to -5? (a) 5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.045 millennia in decades?\nAnswer: 5204.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 878, 3481, 7810, 13859, 21622, 31093?\nAnswer: 42266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/((-286)\/(-273))*66\/7. What is the greatest common divisor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/9598576 and 17\/28057376.\nAnswer: 364745888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - (-25922)\/4. Let u = n - 6498. Suppose -4*o - 6*z = -z + 42, -3*z - 6 = 0. What is the common denominator of o and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - 0.08. Let r = -3.9 - g. Which is the second biggest value? (a) 0.4 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*b**2 - 57*b - 2 wrt b.\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 409.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(1\/2)))**16\/(l**(-1\/4))**(-6\/13)*(l\/(l*l**(1\/2)*l))\/((l\/(l*l**(-4)))\/l)*l\/l**(-4)*l\/l**(2\/3) assuming l is positive.\nAnswer: l**(340\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 11*z - 15. Let f be o(-7). Let m = f + 43. Solve 3*k - k = m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.9 + -20. Let m = -1.5 + 2. Let p be (-22)\/33*3\/12. What is the biggest value in m, z, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6021148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) - -3*sqrt(6)*1 - sqrt(6)) + 3.\nAnswer: sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1084050 and 64\/5445.\nAnswer: 11924550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(90) - (-2*sqrt(90) + sqrt(90)))\/sqrt(3))\/sqrt(6) - (sqrt(5) + sqrt(5)*1*-3 + sqrt(5) + sqrt(25)\/(sqrt(15)\/sqrt(3)))**2.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551013341147 - -0.1.\nAnswer: -551013341146.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4666 is divided by 2331.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -325*x - 294. Let c(d) = 36*d + 31. What is -19*c(y) - 2*o(y)?\nAnswer: -34*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 7*b - 86, 0 = y - 3018*b + 3015*b + 35 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = k. Let s = 2 + 0. Solve 3*h + 18 = k*r, -4*h = 4*r - s*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 255?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 - -87. Let c = k - -44. Calculate the greatest common factor of 44 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*j - 7*g, 2*j - 83 + 133 = 10*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -6 (c) 5 (d) -0.4 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqfnqqqnfzfrnrqqbfqf. What is prob of sequence fzn?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 47*m + 22. Let p be c(21). Let h = p - -427. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70623, -141247, -211871, -282495, -353119, -423743?\n\"Answer: -70624*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 309376914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = 42. Let n be 69\/(-2)*4\/(-2). Let x = h + n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/108 + (-3)\/(-1))\/(2181\/127952)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 d when four letters picked without replacement from {c: 3, d: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52274472*a + 104548957*a - 52274479*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - ((sqrt(1584) - (sqrt(1584) + -2)) + sqrt(11)) - (sqrt(11) + (sqrt(275)*1)**2) - (6*(sqrt(11) + -2 + sqrt(11)) + sqrt(77)\/(sqrt(7)*-2)).\nAnswer: -265 - 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13163 - -13160. Let t = -3 - -1. Which is the third biggest value? (a) 0.02 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5. Let k(p) = -263*p + 1. Let h(t) = -263*t + 1. Let s(b) = -3*h(b) + 4*k(b). Is s(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 3391 - 4034. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 29 = -5*k, 5*y + 705 = 9*k + 726 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 5*o - 2. Let g be t(3). Factor 4*i**g - 12 - 2*i**5 + 6*i**3 - 8*i - 8*i**2 + 12.\nAnswer: -2*i*(i - 2)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12614533 divided by 27.\nAnswer: -12614533\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5640, -5644, -5662, -5700, -5764?\nAnswer: -5860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11808, 22414, 33020?\nAnswer: 43626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*a = -4, 4*a + 0*a + 12 = 0. Solve 3*r - x = -s, r + 3*x + 13 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12935 divided by 1.\nAnswer: 12935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 15*n**2 + 15*n + 15. Let l(c) = 7*c**2 + 8*c + 8. Let p(m) = 4*i(m) - 9*l(m). Determine s so that p(s) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264878 divided by 1.\nAnswer: -264878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -654 (base 7) to base 15\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*l + 61, 37 = r - 4*r - 2*l. Let n = 3 - r. Suppose -n*o + 17*o - 1 = 0. Solve -5 = 2*w + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 24, 45, 68, 93, 120?\n\"Answer: a**2 + 16*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, q: 2, s: 5}. What is prob of picking 1 q, 2 s, and 1 l?\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-12) + (-3171)\/(-63) + -51?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.2945797 + -0.2944497. Let d = -33 + u. What is d rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(-5*sqrt(12)*-6))\/(sqrt(15)\/(sqrt(648)\/sqrt(6))).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -37. Let u(v) = 3*v**2 + v. Let q be u(4). What is the greatest common factor of q and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - 3*j**2 + 0*j**2 + 17 - 2 - 10*j + j**2.\nAnswer: -2*(j - 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/30 - 1\/30. Suppose -2*x = 0, 0 = 2*y - 0*x - 3*x - 4. Suppose y*p - p - 2 = 0. Which is the second smallest value? (a) f (b) 0.03 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 - (-2 - 0)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 944*a**5*y - 31*a**3*d**2*y**3 - 39*a**2*d**2*y**3 - 24*a**2*d*y**2 - a*d**2*y**3 - 7*d**2*y wrt a?\nAnswer: 56640*a**2*y - 186*d**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63303404 and 8636.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155 or 25651\/3?\nAnswer: 25651\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*f - 170 + 196 = 0, 0 = -4*z - 4*f + 44. Let u be (-4)\/3 - (-2 - 0). Determine j, given that 2\/3*j**z + 0 - 4\/3*j + u*j**5 - 2*j**4 + 2*j**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3155 or 3186?\nAnswer: 3155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 11. What is q(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (13 + -37 - -14)) + (-1 + 2 - 10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**4\/6 - 2*p**3\/3 - p**2 + 2*p - 1. Let x(v) be the first derivative of w(v). Let q be x(-2). Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 72 = 5*x. Let w be (45\/(-20))\/(9\/x). Find the third derivative of -3*g**3 - g**3 - w*g**2 + 2*g**3 - 2*g**3 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1125 and 325.\nAnswer: 14625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z**2 - 30*z + 16. Let g(p) = -5*p**2 - 13*p + 8. Suppose -15 = -3*t - 4*r, 0 = 2*r - 0*r + 6. Let c(a) = t*g(a) - 4*u(a). Calculate c(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5 + (sqrt(11) - sqrt(275)))*2 + sqrt(110)\/((sqrt(120)*4 + sqrt(120))\/sqrt(12)))**2.\nAnswer: -156*sqrt(11) + 19131\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (17 - 4) - -5340 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2682, -3481, -2376, 633, 5546?\nAnswer: 12363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1314 - -266?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**3)**(-1\/8)*(u**(2\/5))**(-21) assuming u is positive.\nAnswer: u**(-331\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66244502, -66244482, -66244462, -66244442?\nAnswer: -66244422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12692?\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12) + ((-8)\/24 - ((-24)\/45)\/8).\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566553667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4, 0 = 5*u - 4*o - 0 + 1. Let c(t) = 27*t - 1. Let b be c(u). Suppose -3*d + 3*n = -n - b, 15 = d + n. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(-3*w + 5*w + 2*w)*(-3 + 0 + 0)*(-2 + 1 - 1) as q + c*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.651538 and -0.06?\nAnswer: 15.591538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 3, w: 1, u: 4, p: 2, q: 1, n: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10998 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Let i(g) = -2*g**3 + 4*g**3 + 5*g + 4*g**2 + 3 - 3*g**w. Suppose -a = -0*a - 5. Determine i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, b: 2, m: 3, t: 3}. What is prob of sequence bk?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.01744 to 1 decimal place.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*512\/(-120) + 12*27\/(-810)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -255 + 177. Let i be k\/(-4) - (2 - 20\/8). Solve 4*s = -s - i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {p: 1, r: 6, u: 3, x: 2, q: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Suppose -4*c = -4*i - 0*i + 60, -i - p*c = 5. Suppose 9*r + 2 = i*r. Which is smaller: r or 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 70*z - 6 = 63*z, -z = 4*l + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, u: 7, o: 8}. Give prob of sequence uoau.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6*y - 3 = 0, -g - 24*y + 27*y - 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4)\/((-410)\/30 - -9).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ikiiki?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/4054 and -31\/4.\nAnswer: 8108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10 - 0. Suppose -a*n + 4*n + 1 = 0. What is the derivative of -d**2 - d**2 - n + 3*d**2 wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878159.264 rounded to the nearest ten thousand?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6217097 * -4\nAnswer: -24868388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 1. Suppose -3*d - 3 = -0*d. Suppose 2*a - 111 = -0*a + x, -15 = -3*x. Let i(k) = -31 + a + k - 26. Calculate d*o(c) + 3*i(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1224\/(-156))\/(-17)*(-26)\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 3*p**6\/280 - p**5\/28 - p**4\/14 + 2*p**3\/7 - 8*p**2. Factor q(i).\nAnswer: 3*(i - 2)*(i + 1)*(3*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + 3) - -3 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2121\/11 + 193. Let n = -1 + 1. Which is bigger: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.8. Let m = b + 0.40008. Round m to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 4*i**2 - 5*i - 6. Let y be z(-5). Let k be (-2)\/(1\/(5 - -3)). Let r be (-2)\/y*12\/k. Which is smaller: -1\/2 or r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 + 227*n**4\/2 + 3192*n**3 - 3249*n**2\/2 = 0.\nAnswer: -57, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262 and 3216181.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - w - 3*y, -31 = 5*w - y. Let c(o) = 6*o + 4. Let t be c(w). Let k = t - -49. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189436 is divided by 8258.\nAnswer: 7760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1143 - -1145. Solve b + 1 = 2*j, 5*b = -0*b - i*j - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 11*b + 95. Suppose -p + b - 3 = 0. Suppose 0 = 3*u - p*u - 6. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17723\/3 (b) 0.2 (c) -11 (d) -13 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5973439*d**3*n - d**2*n - d*n - 11*d - 32*n + 6 wrt d?\nAnswer: -35840634*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (8 + -26 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/41 (b) -376 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 2. Let i(o) = -o + 37. Let w(g) = i(g) + 4*y(g). Let v = 19 + -13. Calculate the remainder when w(4) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - a - 27. Suppose -2*t = -17 + 19. Let o be 1\/(t\/(-6) + 0). Let x = -6 + o. Calculate v(x).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 561 (c) 1 (d) -1\/7 (e) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903 - 4*w + 5*w - 903.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 1\/12*q**4 + 2\/3*q**3 - q + 2*q**2 + 0. Let p(j) = j**3 - 20*j**2 + 17*j + 35. Let d be p(19). Determine k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1424.267905 to the nearest integer.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 16*k + 2. Calculate the remainder when v(3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 0.37, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20)\/(j*j\/(j*j\/j**(5\/2))))**8 assuming j is positive.\nAnswer: j**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31 * 0.2238\nAnswer: 6.9378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4\/(24\/(-15)). Let s be 12\/x + 4\/10. Let u be ((-1)\/(-2))\/(s\/(-20)). Solve u*j + 5*v = -5, -j + v + 2 = -v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 20*n + 45. Solve n*p - 4*p - 7 = 2*h, -3*h - 8 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-6))**13 assuming n is positive.\nAnswer: n**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6*t + 14 = -4*h, 4*t = 3*h + 8. Let q = -124 - h. Let i = q + 843\/7. Which is the second biggest value? (a) -1 (b) i (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-6)\/30*15*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1861)\/(-2970) - 44\/121 and 8\/15.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z. Let t(m) = 13*m. Let c(b) = 2*q(b) - 5*t(b). Let x(r) be the first derivative of -r**3\/3 + 3510. Give c(x(g)).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -151319485, -302638968, -453958453, -605277940, -756597429, -907916920?\n\"Answer: -o**2 - 151319480*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/16)\/((-60)\/80). Let m(o) be the second derivative of -f*o**2 + 2*o - 2\/3*o**3 + 0. Find the first derivative of m(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(-5*(-1*sqrt(1331))**2 + 4 + -3)*-3.\nAnswer: -59889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2. Let r(f) = f + 2. Let q be r(-4). Let t(y) = 2*y**2 + 3*y. Let u be t(q). Let n(w) = 2 + w - u. What is n(x(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 152327, 3\/2?\nAnswer: 152327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 58*n**2 + 920*n + 235. Let l be m(71). Solve -45*f - 68 = l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1 + (-20)\/(-4) - 441\/(-3)?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-226)\/130*(28 - 33)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -436 - 102. Let w = s - -864. List the prime factors of w.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3931 + 0.0069. Let s = -21 + 85\/4. Which is the nearest to s? (a) k (b) -1\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) - ((sqrt(612) - sqrt(612)*-2) + 0)**2 - -1*(-1 + sqrt(17)*1).\nAnswer: -5509 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3225122732 - -72?\nAnswer: 3225122804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10256323\/5 or -5?\nAnswer: 10256323\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f**3 + 483*f**2 - 3893*f + 92. Determine z(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1930 is divided by 265?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/6 + 3*i**2\/2 + 3*i. What is z(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1339*v**4 + 3654?\nAnswer: -5356*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let y = 7 + -4. Solve -y*m + m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 40*o + 302 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.8, -10\/13, -1\/5, -19, -2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -5*z - 4*z. Let r = z - -23. What is the remainder when r is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7542.657ml in litres?\nAnswer: 7.542657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 11*h**2 - 9*h - 9. Calculate j(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and -49\/324.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2967*u - 4 - 2949*u + 5920*u + 3 - 69*u**2 to the form a*u**2 + t + o*u and give a.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -32. Solve -x + 2 = 3*r, -6*r = 5*x - 2*r + i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4775 times -0.1\nAnswer: 477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(637)*-1)**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Suppose -7*x + q*x = -120. Suppose -5*b = -0*b - x. Solve -4*l - b - 6 = -2*o, 3*o = 3*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + -54. Let a = -37 + u. Suppose -a*q - z + 5520 = 0, 5*z + 809 = q - 269. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75615581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*h - 20, 1 - 16 = 3*r. Is 2\/569 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3 = -h, 6*s - 11*s - 12 = -4*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 432.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35764 + -3?\nAnswer: -35767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30383428 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k - 1. Let n(q) = 2*q**3 - 6*q**2 - 4*q + 9. Determine -4*i(t) - n(t).\nAnswer: -2*t**3 + 2*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + r**2 + 3120000. Let l be v(0). Suppose k + l = -3*k. Round k to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 903 = d, 5*d = 58*o - 56*o + 4538. What is the greatest common divisor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/6 + 5*y**4\/3 - 17*y**3\/6 + 4*y**2\/3.\nAnswer: -y**2*(y - 8)*(y - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18388248.\nAnswer: 2, 3, 766177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29503861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*-4 - 3*(sqrt(77) + -1*sqrt(77)))\/(sqrt(56)\/(sqrt(8) + sqrt(512)) - -1*(sqrt(7) - sqrt(1008))).\nAnswer: -18*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, 1, -3, 127, 2, -1 in descending order.\nAnswer: 127, 19, 5, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 87955108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -10*j**3\/3 - j + 497. Let s(z) = -5*z. Determine k(s(c)).\nAnswer: -250*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16552\/7, 22.\nAnswer: 2, 22, 16552\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10969\/2 at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4965 + 6653*d**2 - 2157*d**2 + 128 with respect to d.\nAnswer: 8992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 810\/91?\nAnswer: 810\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3 + 5. Suppose -4*m = -4*w + 8 + 68, 5*w - s*m - 101 = 0. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t + 1. Let o(n) = -2*n**2 - 4*n - 3. Give 8*l(k) + 3*o(k).\nAnswer: 2*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*a + 307*a + 111*a - 1413 = 183*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209 - 205. Suppose -3*y + 5*q = -170 - 1991, -4*q - 2868 = -s*y. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 6710 + 930 = 0. Let x = 587 + g. Which is bigger: x or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8961a1 (base 12) to base 14\nAnswer: -40d4b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 730039900 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23627999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497028 is divided by 841.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33223041 (base 5) to base 7.\nAnswer: -2312664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(30\/265) - -4*13\/(-468)*-6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*p + 163*p + 16*p + 13800 = 0 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 12*w + 2085. What are the prime factors of w?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**3 + 0 - 1\/4*d**5 - 9*d + 0*d**4 + 5\/2*d**2. Differentiate h(g) with respect to g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168264 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 203 - 107. Suppose -f*x - 25 - 15 = 0. Put x, 10, 0 in ascending order.\nAnswer: x, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t**2 - 9*t**2 - 11*t**2 + 20*t**2 + t**2. Let z(q) = q**3 - 3*q**2 - q + 3. Let x be z(3). Let k(s) = s + s - s + x. What is k(w(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.53 and -4.\nAnswer: -78.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -4555518 = -4555563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -25) + (4 - (3 + -10))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 7*k**2 - 4*k**2 - 2*k**2 - k**2 + k**2 + (4 - k - 4)*(-2 + 2*k + 2) - k**2 - 2 + 2 + (19*k**2 + 2*k**2 + 4*k**2)*(1 + 1 - 3).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 1. Let h be (c + 9)\/(-1 + -1). Suppose -2*n + h*n + 12 = 0. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 10:24 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5179*f*o**2*r*y + 3*f*o**2*y + f*r*y - 2*o**2*r*y + o**2*y - o**2 + 2*o*y wrt r.\nAnswer: 5179*f*o**2*y + f*y - 2*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56470320 rounded to the nearest one hundred thousand?\nAnswer: -56500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 7*x. Let t be d(-7). Let o = -1 + 4. Suppose 3*g - o = 3. Solve -p = -0*p, 5*q - g*p - 25 = t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -10, 3\/40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 3, g: 13}. Give prob of picking 4 g.\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 - 7*b + 5. Let c be a(-7). Let k = 5 - 3. Solve -4*g = c*w + 9, -2 = g - k*w - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6628558*q + 8001551 with respect to q.\nAnswer: 6628558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76156 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320 - -11?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*l = -6, -2*z + 7*z - 3*l - 30 = 0. Suppose 5*d + 3*x - 72 = 0, -2*x = 2*d - 34 + z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3387959434 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:29 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - -1*sqrt(342))*-5 - sqrt(342))\/(-1*sqrt(90)\/sqrt(5))*-6.\nAnswer: -66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n + 2. Let j be x(2). Suppose -7*h - 2*s = -3*h - 8, 5*h = j*s + 10. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - y + 85, 2*y + 6 = j - 2*j. What is the common denominator of 1\/(-4) + (-14)\/j and -53\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koydyccykcw. Give prob of sequence odkk.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(520)*1 + sqrt(520))*1)\/((-2*sqrt(70) - sqrt(70))\/sqrt(7)))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 591*o - 500. Let y be z(3). What is the greatest common factor of 737 and y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/27*(-3)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 2478?\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*r**4 + 1387*r**5 + 2 - 1432*r**5 + 155*r + 2*r**4 wrt r.\nAnswer: -900*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - 12051442?\nAnswer: -12051510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 26.79, -512, 70 in increasing order.\nAnswer: -512, 26.79, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffkhkkfkffkfkkkhk.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.0022 + 39. Round i to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*n - 2*n - 2, 2*v - 8 = 0. Suppose n = -5*f - 8. Which is the second smallest value? (a) 2\/13 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 16. Let v be c(28). Suppose 13*o - v = 11*o. Is o\/9 + -2 - 46012\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -511*q**2 - 307 + 502*q**2 - 87 as f + d*q + y*q**2 and give f.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3966, 7999, 12152, 16485, 21058, 25931, 31164, 36817?\nAnswer: 42950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3) - sqrt(324)\/sqrt(12))*-6 + 3.\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**4 - 1\/2*x**3 + 0 - x**2 + 1\/20*x**5 - x. Let w(z) = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0 - 3. Let h be ((-1)\/12)\/(a\/3). Let m = 0.3 - -0.2. What is the second biggest value in m, 5, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18357367 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-22))**(-1\/12) assuming y is positive.\nAnswer: y**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h**(3\/8)\/h))\/h))\/(h\/h**(-19\/3)))\/(h\/h**(-6\/17)*h\/((h*(h\/(h\/(h\/(h\/((h\/(h*h**15\/h))\/h)))))\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-9511\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - 1.33. Let n = z - -1.58. Let x = n - -0.72. What is the closest to x in 2, -2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2254 = -5*q - 4*n, q - 442 = -3*n - 0*n. Let v = -11486814\/24871 + -5\/3553. Let i = v + q. Calculate the common denominator of -67\/2 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (44\/20 - 1\/5). Let n(x) be the first derivative of -1\/2*x**2 + 6 - s*x. What is n(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6203.02979 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**7\/112 - i**6\/5 - 33*i**5\/160 + 363*i**4\/16 + 951*i. Factor w(v).\nAnswer: 3*v**2*(v - 11)**2*(v + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 561*p**2 - 3*p. Let u be b(2). Let a = u + -1517. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.0485\nAnswer: 0.01455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -30. Let p = -32 + c. Let g = 0.065 - -1.935. Sort g, -0.06, p in decreasing order.\nAnswer: p, g, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/520 and -25\/52.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 34. Solve 3*m + 21 = a*b - 13, 5*b = 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50672?\nAnswer: 2, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 211.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3\/5 + 136*g**2\/5 - 28*g = 0.\nAnswer: -35, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 3*r**2 - r + 2. Let x be p(2). Suppose 0 = -x*a + 30 + 26. Let w(m) = 3*m**2 + 7*m + 29. Calculate the remainder when w(-5) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32907143077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/18 and -83\/158.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a = -44*a + 29*a - 1664 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -12. Let m = q + 2. Which is the biggest value? (a) -2\/11 (b) -7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29324 + -29300. What is the lowest common multiple of 884 and z?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 m when three letters picked without replacement from izbpzimzpzizbzmm.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22275 + 9866. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -179*k - 9\/5*k**5 - 67\/6*k**3 + 0*k**4 + 0 + 0*k**2. What is the second derivative of g(d) wrt d?\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeneenndeeennnneeeee. What is prob of sequence nnnn?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 d, and 1 x when four letters picked without replacement from dfxxdxffxxdffxffxx.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 5. Suppose 3*k - k + 12 = 3*z, i*k + 2*z - 8 = 0. Solve h + 5 + 0 = k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 23*j - 407. Calculate the least common multiple of 11 and j.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-2 + 2*sqrt(13) + sqrt(13)))**2 - (0 + (sqrt(117) - sqrt(13))).\nAnswer: -10*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - z**2 - z**2 + 6 + 5*z**2 + 11*z**2. Let v be r(-14). What is the third derivative of -2*o**2 + 9*o**2 + 0*o**6 - 13*o**v wrt o?\nAnswer: -1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3568*l + 5. Let u(h) = -5352*h - 8. Give -5*u(k) - 8*w(k).\nAnswer: -1784*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmlmmlmlllm. What is prob of sequence lml?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -123030 (base 4) in base 13?\nAnswer: -a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4122975 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549666058?\nAnswer: 2, 29, 277, 34213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let b(m) = m**3 + 2*m**2 - 2*m - 1. Let s be b(-2). Suppose d = s*q - 2 - 154. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(7))**2*-3 + -1)*-3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + -7. Let f(o) = -2*o - 10. Let n be f(9). Let p = n - j. Which is smaller: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s + 1)*(3*s**4 - 6*s**4 - 4*s**4).\nAnswer: -7*s**5 - 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*c**3 - 40 - 47*c + 47*c - 6*c**2 + 85*c**3 to the form t*c**2 + q*c**3 + u + w*c and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -28, -25, -20, -13?\n\"Answer: d**2 - 2*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -549\/4 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5795950?\nAnswer: 2, 5, 19, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 33. Let l be 5\/k + (-29119996)\/16. What is l rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:27 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 782, 1170, 1558, 1946?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*n + 32. Suppose 3*u - n = 19. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5044)\/(-8827)*(28\/6)\/(-2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 14046 = -502046. Let c = 21 - 18. Let g be h + -3 + 0 + c. Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (2 - (20 - 9)) - (-11 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 6. Let w be v(8). Let k(g) = -g**w + 12*g + 2*g**2 + 0*g - 3. List the prime factors of k(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -731545632 divided by -182886408.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 25. What is the nearest to -2 in d, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22990 - 22966. Suppose -2*h - 20 = -t + 18, -35 = -t + 5*h. What is the highest common factor of i and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1705*q**2 + 389*q - 201*q - 188*q in the form z*q + x*q**2 + n and give x.\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 494858.9 micrometers?\nAnswer: 49.48589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1140 and -181\/44610.\nAnswer: 1695180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21111022 (base 3) to base 12.\nAnswer: -31b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalallamllall. What is prob of picking 1 a, 1 l, and 1 m?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 367304683.\nAnswer: 367304683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1149624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j - 63*j - 2*m = 2, 0 = 5*j - m + 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 4*t. Let g be u(6). Calculate the highest common factor of 36 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(4*(-3)\/(-48)). Let i be (n\/14)\/((-10)\/35). Let k(q) = -3*q**2 - 2*q**2 + 7*q**2. Calculate k(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {x: 3, h: 2, t: 1, j: 5, d: 1, f: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1005.401 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203277 - 406557 + 3*s + 203280.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 n, and 1 g when four letters picked without replacement from {q: 1, g: 1, n: 5, l: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9904 divided by 2\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31500493 + 0.03?\nAnswer: 31500493.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 237155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -503\/5 + 101. What is the nearest to 1 in -1\/3, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 622, 1249, 1880, 2515, 3154, 3797?\n\"Answer: 2*n**2 + 621*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14979 = 296*t - 1076 + 4752 + 2361 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40 and -91\/1227802.\nAnswer: 1227802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -341, -351, -365, -383, -405, -431?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*f + 4 - 10, 5*r - 3*f + 2 = 0. Let w = -3.7 + 4. Which is the nearest to -1? (a) -6 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 3*u - 2*r, 3*u - 148 = -4*r - 44. Suppose 2*b = 7*b + u. Let o = b - -20. What is the smallest common multiple of 6 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 4*n + 3. Give f(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14708 is divided by 273?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777314 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 632, 1409, 2496?\nAnswer: 3893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(3\/(-21)*-4)\/(40\/(7560\/81))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1083)\/2394)\/(-19)*((-2)\/(-12))\/((-1)\/4).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365457 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20682 by -54.\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 48 = -218*w + 203*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -75 and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10841379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uggrrusrvryu. What is prob of sequence ugsg?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*h + 2 - 248*h + 7 - 9 in the form v*h + b and give v.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 22040000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2322*q + 1037*q - 897*q)*(q - 4*q + 5*q).\nAnswer: 4924*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 = 4. Let q(a) = a - 2. Let t be q(k). Let u be -1*(0 + (1 - t)). Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 k when four letters picked without replacement from kggkkkkgkgkkgkkkgk.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 25*c**2 + 25*c - 48. What is t(-26)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15216491 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - d + 3 = 0, 648 = b - 5*d + 635 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15465*b**3 - b**2 + 20*b + 58. Let a be s(-11). Let l = 12163632 - a. What is l rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13c8c2 + 40?\nAnswer: 13c932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6329, 26317, 59967, 107279, 168253, 242889?\n\"Answer: 6831*u**2 - 505*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 663207653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/1771 and 113\/67942?\nAnswer: 747362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 + 22 + -3 + -8. Solve 3*v = 3*i + 9, x*i + 3*i + v + 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -849 - -851. Solve 20 = n*i - 7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - p + 48 + 14 in the form i*p + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (684\/(-12) + (0 - 5))\/1. Let r = m - -58. Is 17 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f + (-2 - 1 + 2)*(-2*f - 3*f + 4*f) + 3 + f - 3 + 2*f - 4*f + f - 2*f + 2*f + 4*f)*(0 - 2 + 4).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/66*-6*10*(-3)\/(-100).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 + 10*j**4 - 15*j**3 - 20*j**2 + 20*j.\nAnswer: 5*j*(j - 1)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 69 = 4*u. Let r(w) be the third derivative of -w**6\/120 + 3*w**5\/20 - w**4\/3 + w**3\/3 + w**2. Let v be r(8). Solve -v*m - u - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 470. Let c be f(-23). Calculate the highest common divisor of 145 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/8 - 26113*j\/4 - 681888769\/8 = 0. What is j?\nAnswer: -26113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/420 and -157\/1050.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1776 is divided by 67?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1764 and 232.\nAnswer: 102312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3 + 6*u + 3*u - u**2 - 4. What is the least common multiple of 48\/56*(-21)\/(-2) and o(7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 + 17343*i**2 - 173205*i + 432825 = 0. Calculate i.\nAnswer: 5, 5771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from kbjzzjzjjk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3 - 2*4\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7552 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**4 - 9618*r**3 + 29*r**2 + 2*r + 82.\nAnswer: -24*r - 57708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1630887 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 divided by -130631.\nAnswer: -212\/130631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.6476372 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66430589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 i when four letters picked without replacement from {z: 5, i: 4, e: 6, q: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10111010100 (base 2) to base 5\nAnswer: -21432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 8*m + 9. Let y = 136 + -66. Let i = y - 62. Suppose -3*v + i = -2*t, -3*v - 11 = -5*t - 4. Determine w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2562265, -2562259, -2562253, -2562247, -2562241?\nAnswer: -2562235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*y - 675*y = -339*y - 105 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = 3*r, -2*m = -r. Solve 5*a - 4*f = -11, -4*f - m = -2*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2171 or 1?\nAnswer: 2\/2171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 19*c + 4 = 0. What is the smallest common multiple of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*q - 8, 0 = -2*a - a + 4*q + 6. Let k(m) be the first derivative of -9\/2*m**2 + 3*m - 181. Determine k(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -421804351?\nAnswer: 421804356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-315)*(0 + 3)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.2118 millilitres to litres.\nAnswer: 0.7922118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w**2 - 3*w**2 + 2*w**2)*(2 - 3 - 1) + 2*w**2 + 0*w + 0*w - 8*w**2 + 2*w**2 + 3*w**2)*(-113*w - 31*w - 41*w) - w**2 + 2*w**3 + w**2.\nAnswer: -553*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2430, -0.4, -1\/5, 2, -2\/9, -5, -16?\nAnswer: -2430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 23, 1, -41, -109, -209?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + -11 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = s + 39 - 32, 9 = -5*s + m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1310543371 and 3181.\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 13*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203305231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/6)\/(m\/((m\/(m\/(m\/m**(5\/4))))\/m)))**(-33))**0)**(-49) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 8*h**2 + 5*h - 4. Calculate p(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(56)\/(sqrt(88)\/sqrt(11)).\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118923 and 1107521.\nAnswer: 162805587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 47*z**3 - 6*z**4 + 2*z + 18*z**3 + 14*z**3 - 5*z**4 + 21*z**3 in the form a*z**4 + j*z + k*z**3 + s + n*z**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 14 = -2*y, y - 5*a - 18 = 0. Suppose y - 11 = -z. Let i(w) = 4*w + 6 - 6*w + z*w. What is i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 29 + 35 = 2*c, 2*t - 5*c = 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61840*l*y**3 + 13*l*y + 4*l + 352*y**2 wrt y.\nAnswer: 371040*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 320*v + 3 = -315*v, 7*a - 5*a + v - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46177046?\nAnswer: 2, 241, 95803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2338, -4637, -6852, -8941, -10862, -12573, -14032?\nAnswer: -15197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25370 and 16697.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 851.163166 rounded to 1 dp?\nAnswer: 851.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -51. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose -4*m + 2*z + 176 = 0, 112 + 19 = 3*m - 2*z. What is the lowest common multiple of 1*(-1 + m\/5) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**3\/5 - 8*r**2 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8755, 17532, 26325, 35140, 43983, 52860?\nAnswer: 61777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18817530, -18817531, -18817532, -18817533, -18817534, -18817535?\nAnswer: -18817536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*d**2 + 82*d - 45983 wrt d.\nAnswer: -194*d + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b (base 14) to base 16.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*z - 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1 - sqrt(77))*-3 - sqrt(77))\/(sqrt(896)\/sqrt(8)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*g, 36*g - 34*g - y - 13 = 0. Solve -g*i - u = 8, u + 8 = -u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-122)\/(-63) + -2 + (-10)\/45. What is the closest to -0.1 in 0.4, 125, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/5040*20)\/(-1) + (-31)\/66?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1508*b + 1271. Let j be i(-2). Is j < -1748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from abrabarabygbraagba?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 + 2*n. Let c(x) = -x**3 - 5*x**2 - x - 1. Let o(u) = -6*c(u) - 5*t(u). Let z = -29 - -34. Is o(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122, -205, -302, -419, -562, -737?\n\"Answer: -w**3 - w**2 - 73*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101832 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -36 + (18 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-8) + 1\/(-4). Let y be ((-4)\/8)\/(u\/(-16)). Suppose -i = 4*i - 2*m - 10, -2*i - 2*m = -y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 18. Let r(m) = -13*m**2 + m - 54. What is -7*l(x) + 2*r(x)?\nAnswer: 2*x**2 + 2*x + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j - 3*j)*(-1 - 1 - 1)*(-j - 6*j + j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-28))\/11*(-2320)\/(-145).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -659*g + 667*g + 24. Let d(f) = -9*f - 4. Determine d(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71357430121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) - (-16)\/(-24). Suppose 2*x + 0 - 4 = b. Factor 0*p + 1\/3 - 1\/3*p**x.\nAnswer: -(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:42 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 1 - m + 2*m**4 + m**3 - 2*m to the form a + p*m + j*m**2 + o*m**4 + i*m**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 u, and 1 b when four letters picked without replacement from {u: 1, f: 1, b: 1, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2704 and 704236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 369840*c**2*m**3 - 2*c**2*m**2 + c**2*m - 2*c**2 - 7386*c*m**2 wrt m.\nAnswer: 2219040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -632, -907, -1130, -1283?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 12*y**2. Let t(j) = j**2 - 988*j + 1. Determine t(n(f)).\nAnswer: 144*f**4 - 11856*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 2*m = 2, 6 = 2*i + 2*m. Let x = -17 - i. Let f(y) = -y**2 - 22*y - 30. What is the smallest common multiple of 18 and f(x)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 572418 by 1239.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 588448 and 59640?\nAnswer: 8826720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(l - 2*l - l) + 329*l + 262*l - 159*l.\nAnswer: 434*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2*5\/(-10)). Let t(y) = 1. Let w(d) = 2*d - 1 - 4*d + 5. Calculate h*w(k) - 6*t(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -4*o - 5. Is o at least 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/2 + 114*d + 6498 = 0.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56 - -3*(8\/(-6))\/4. Calculate the smallest common multiple of 18 and 2 + x + 6 + -9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 276, 413, 550, 687, 824?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4 + 3*r**3 + 66*r**2 - 120*r = 0.\nAnswer: -5, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -3. Let h = b - -15. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*p**3*u**2 - 212098*p**3*u - 28*p**3 + 78274*p**2*u**2 - 3*u**2 wrt u?\nAnswer: -38*p**3 + 156548*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4399 = -x + 4385, 2*x + 27 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -24*f**5 - 228164*f**4 + 494444*f**3 - 228228*f**2 - 114100*f + 76072 = 0.\nAnswer: -9509, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*w**3 + 18*w - 34*w + 14*w + 21*w**3 to o*w**3 + z*w**2 + j*w + u and give o.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1861.2 + 2044. Let i = y + -126. Let l = 57 - i. Does -22 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 600908 (b) -2\/13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1735 - 2.4735. Let b = -16 + 22. Is b less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 9. Let o be 0*((-9)\/6 - -2). Give n(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 41*c - 3393 = 0. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a factor of 354721098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/((-48)\/(-4)))\/(4\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/132 and -127\/684?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(15\/12)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 37 - 727 = 0. What are the prime factors of x?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340*y + 3*n = 1336*y - 31, 3*y - 24 = 3*n. Let o(q) = -q**2 - 4*q**2 - 5*q**2 - q. Determine o(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - l + 5, l - 30 = -28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 825*a**2 + 2 + 297*a**2 as q*a + s*a**2 + f and give s.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 + -217. Solve -w = 4*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9130*f - 264742. Calculate c(29).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -151287 greater than or equal to -151288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p**3 + 55*p**2 - 92*p - 30. What is m(2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1927 - 0.054.\nAnswer: 1926.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.95 - 8.04. Let i = -27.09 - d. What is the fourth smallest value in -0.5, -4, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/9*u**4 + 530\/9*u**2 - 2344\/9*u + 280\/3 + 196\/9*u**3 = 0. What is u?\nAnswer: -15, -7, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaajjjaaaa. What is prob of picking 1 j and 1 a?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5716 - -45494?\nAnswer: 51210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 1\/3*r**3 + 0*r - 5*r**2 - 5\/24*r**4 + 0. Differentiate s(l) with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 24566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 1345*k**2 - 1349*k**2 + 2 + (4 + k - 4)*(-2 + 2 + 2*k).\nAnswer: -2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/64030 and -52\/544255.\nAnswer: 1088510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2)*p**(5\/2)\/p)\/(p**(-1\/7)*p**(2\/23)\/p)*p\/(p\/p**(1\/2)*p)*p**(-2\/11)*p**(-2\/3)*p\/(p\/(p**(-2\/13)\/p)*p) assuming p is positive.\nAnswer: p**(-134438\/69069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333480?\nAnswer: 2, 3, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 - 16 = 0. Suppose 0*n = k*n - 12. Suppose 5*r = r, -n*m = -2*r - 99. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -7. Let h be v\/(-14) - (-354)\/14. Is 10\/h + (-736)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 114 (b) 2.1 (c) -0.1 (d) -3\/32 (e) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 547. Let k = 557.9999068 - r. What is k rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/427 (b) 4\/11 (c) -42 (d) -5 (e) -3 (f) 3 (g) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**3 - 6*s**2 - 8*s - 6. Let r be (-4)\/3 - (-516)\/36. Let z(x) = 15*x**3 - 13*x**2 - 17*x - 13. What is r*t(p) - 6*z(p)?\nAnswer: p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4367\/(-2382)*(-5)\/(-22)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836 by -4.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5 + 534*z**4 - 342878*z**3 - 31627920*z**2 + 64282333*z - 32312070 = 0.\nAnswer: -882, -85, 1, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x - 40*x + 1 + 28*x + 123*x to q + k*x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 15) in base 16?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) -2 (b) 0.1 (c) 4 (d) -24.8 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**4\/4 - 23*b**3\/6 - 330*b**2. Give r(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/r**1)\/(r\/r**(-4)*r*r\/(r**(2\/19)*r)*r))**(3\/8) assuming r is positive.\nAnswer: r**(-453\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*r - 264, r + 2934*c - 2932*c - 91 = 0. Is 1039\/14 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*z - 17, f - 5*z = 4*f + 31. Let k = f - -12. Suppose 4*s**2 - k*s**2 + 5*s**2 = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-93)\/(-156) - (-136)\/884 - 43674\/(-8). What is the greatest common divisor of 78 and r?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -215, -322?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + q**2 + 4524 + 2494 - 2205.\nAnswer: 2*q**3 + q**2 + 4813","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 1 z when three letters picked without replacement from {o: 1, z: 6, j: 10}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/42)\/(4\/(-12)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 39. Let n(x) = -4*x - 52. Let y(a) = -4*d(a) - 3*n(a). Let j(k) = 15*k. Calculate j(y(w)).\nAnswer: -120*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 921924367 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 - 21 = 0. Suppose b*o = 4*o + 10. Suppose u + 40 = o*c, 2*c - 11 = u + 2. Calculate the greatest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/4 + 75*s**4\/4 + 332*s**3 + 1302*s**2 - 1332*s - 5508 = 0?\nAnswer: -51, -18, -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 554, 0, -5, 4 in descending order.\nAnswer: 554, 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 10*v**2 + 12*v - 3 + 4\/3*v**3 - v**4. Factor u(l).\nAnswer: -4*(l - 3)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21)*(-105)\/(-20)*4 + 5010. Suppose -4*p + s + 10 = 0, 8*p = 3*p - 4*s + 23. Suppose p*c = 903 + g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2988048 + 10*m**2 - 2988048.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*k = -331*k + 16050 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*s**2 + 452*s**2 - 911*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let a(d) be the third derivative of -d**3\/6 - d**2. Let g(y) = a(y) - 3*k(y). Let r be g(-2). Solve -c + r*w - 1 = -2*c, -21 = 5*c - w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7b (base 15) in base 10?\nAnswer: -2366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 12 (b) 0.5 (c) -0.997\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 62. Let n be (-3 - (-33)\/j)*33. Let x = n - -119. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22403?\nAnswer: 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 181*c**7\/42 - c**4\/6 - 25*c**3\/2 - 160*c + 2. Find the second derivative of h(j) wrt j.\nAnswer: 3620*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let k(r) = 28*r - 5. Let f(o) = 27*o - 4. Let p(v) = 4*f(v) - 3*k(v). What is d(p(s))?\nAnswer: 576*s**2 - 48*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.7 - 6. Suppose 5*m = -4*m + 297. Let z be (-34)\/(-72) - m\/132. Which is the closest to 2? (a) f (b) 2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-20))\/(((-30)\/25)\/1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -5*g**3\/3 + 156*g. Let q(y) = 3*y**2. What is m(q(p))?\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53706 - 14586?\nAnswer: 38110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/109153 or -0.1?\nAnswer: 2\/109153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/120 + f**5\/30 + f**4\/6 + f**2. Let b be i(3). Solve b*k + 4*n + 1 = -9, -10 = k + 3*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20605)\/(-30) - 1)*(-58)\/(-1740) + -23.\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + 4 - -4 - 6\/(-3). Let j(p) = 43*p - 29*p - s*p. Let q(u) be the second derivative of -19*u**3\/6 + 8*u. Determine q(j(c)).\nAnswer: 57*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*i + 2*j, -i + 22 - 30 = j. Is i bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*p + 9, 0 = 2*k + 3*k + 2*p - 9. Suppose 7*t = k*t + 112. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (120*p**2 - 592 + 592)*(-17*p - 12 - 16*p + 31*p) as c*p**2 + y + u*p + m*p**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*v**5 + 12114*v**4 - 9121108*v**2?\nAnswer: -1380*v**2 + 290736*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (131\/(25021\/4775))\/(1*2)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 19*i**2 - 19*i + 2. Give j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6510323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 divided by 6?\nAnswer: 257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 + -4.71. Let o = x + -0.29. What is the closest to -1 in o, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 61678\/10*(-12 + 17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*16\/(-24) - -47. Let h = -19 + j. Let y be ((-2)\/(-5))\/(-1 - h\/(-30)). What is the closest to -1 in 4, -2\/3, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2653 and 23349.53923.\nAnswer: 26002.53923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (21 + -60) - 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*y + 5*y - 273*y**3 + 485 - 449 wrt y.\nAnswer: -1638*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**2*n**2 - 18*k**2*n - 18649*k**2 + 56171*k*n**2 + 5*k*n - 3*n**2 wrt n.\nAnswer: -14*k**2 + 112342*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, -12, -761, 3 in ascending order.\nAnswer: -761, -12, 2.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112451150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Let o(w) = -8*w + 0*w**2 + 7*w**2 + w**3 + w**j + 11. Let b be o(-9). Let y(a) = 2*a**3 - 3*a**2 + 4*a - 3. Determine y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {w: 1, d: 1, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 102, -104, -434, -882, -1442?\n\"Answer: f**3 - 68*f**2 - 9*f + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7365.294 litres to millilitres.\nAnswer: 7365294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-8))\/((-77)\/14 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*w + 3, -1973*w = 2*n + 3*n - 1971*w + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + u**2 + 3*u - 1 + u**3 + 7*u to s + h*u**3 + i*u**2 + y*u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 18 = -3*h, 51*d - 48*d - 4*h = -11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaaggagag. What is prob of sequence ag?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 2325?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a89 + 0?\nAnswer: 4a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**2 + 0 - 1\/2*b**3 + 5*b. Let x(c) = 4*c. Calculate w(x(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 115, 229, 341, 451, 559, 665?\n\"Answer: -c**2 + 117*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 30*g.\nAnswer: -2*g*(2*g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**0)**3*(c\/c**(1\/4))**(-1\/47) assuming c is positive.\nAnswer: c**(1689\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 + 51555*g\/2.\nAnswer: -3*g*(g - 17185)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 2084520*f.\nAnswer: -5*f*(f + 416904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -10 - (3 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27746 or 27749?\nAnswer: 27746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 97*s**2 + 157*s + 208. Find the first derivative of h(o) wrt o.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/14*2 + 392. Let l = s - -1302. List the prime factors of l.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 493.7 and -0.8.\nAnswer: -394.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3\/3 - 5*c**2\/2 + 5*c + 4. Let p be -4*(-1 + 7\/4). Let h be (-2)\/(-3) + (-13)\/p. What is b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 12. Let v = u - 40\/7. Let g = -1450 - -10154\/7. Sort 0.4, g, v in descending order.\nAnswer: g, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 6*y - 1. Let q be w(5). Let x(i) = -i + 5. Let k be x(q). Calculate the common denominator of 9\/2 and (-1698)\/288 - k\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:52 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 68707 and 0.01?\nAnswer: 68706.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - x + 11*i + 1 = 2*x, 13 = -3*x + 4*i - 9 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a + 5 = 0. Let u = a - -12. Solve -d = -6 + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 18 = -2654*v + 2656*v, -13*a - 47 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 - h - 4. What are the prime factors of y(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12755570*x**4 - 7886221*x**2 + 5*x?\nAnswer: 306133680*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/((-588)\/66 - -9). Let s be 1*(-704)\/(-4)*-1. Is x < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(-6))*t*t*t\/(t\/(((t*t**0)\/t)\/t)*t)*t)\/(t**(-2\/9)\/(t\/(t\/t**1))) assuming t is positive.\nAnswer: t**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115923 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -46, 1, 4 in increasing order.\nAnswer: -46, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmu when three letters picked without replacement from {q: 4, m: 4, p: 4, u: 1, g: 1, b: 5}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 40. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(108) + 2*sqrt(108)*2))**2 - (-3*sqrt(108)*2 + 1)**2.\nAnswer: 72*sqrt(3) + 93311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -61208014*0.3\nAnswer: -18362404.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3730022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*x + 591172 + 149809 + 487772 = 0. What are the prime factors of x?\nAnswer: 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 + 43*o**2 + 28*o - 70. What is f(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 16 (c) 7 (d) -0.04474\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 25 = -13*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 9, 1.\nAnswer: -21, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114469\/10 - -11435. Find the common denominator of o and -34\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2740419 > 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 0 + 7\/30*r**6 + 0*r**5 + 0*r**2 + 0*r**4 + 5\/6*r**3 - 13*r. Find the second derivative of o(z) wrt z.\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.237747 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -258. Let m = x - 122. Solve -3 = 4*h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18941463 > 18941460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - l - 16 = 5*m, -4*m + 3*l = -34. Find the third derivative of -31*i**4 + 12*i**4 - 44*i**2 + 6*i**4 - m*i**4 wrt i.\nAnswer: -480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/7837 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - u + 4*u - 21 = 0, -5*w + 83 = 4*u. Let n = w - 8. Suppose -4*s + 6 = -n*s. Let v(h) = 10*h. Calculate v(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 36 = l, 0*w + 5*l = -2*w + 72. Let t = w + -15. What is the greatest common divisor of t and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1936304 and -21.4.\nAnswer: -41436905.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*l**3 + 11*l**2*o*r**3 + 2*l**2*o*r - l*o*r + 18702*o*r**3 wrt l?\nAnswer: -498*l + 22*o*r**3 + 4*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 - (-31 - -27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18793 - 18761 = 8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Let p = 309 - 312.128. Let f = m + p. What is f rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -70 - (0\/1 + (-5 - -3)). Let x = 81 + k. Calculate the remainder when 266\/8 + (-16)\/64 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60830*m**4 + 8927.\nAnswer: -243320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-273 - 0)*246\/(-861). Solve 0 = f*b - 243 + 711 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 4. Let c = -2 - 11. List the prime factors of w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*j + 249 = -103. Solve -j - 6 = -5*d + 5*i, -2*i = 5*d - 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193252 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5541*b - 5541*b + 7 + 11079*b. Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/75))**(-3\/10) assuming h is positive.\nAnswer: h**(-1\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 13 + 9 + 11\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4684.34 - -4639. Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 389.5 grams?\nAnswer: 389500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203)\/174*50*(-13)\/((-260)\/(-24))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132064999.\nAnswer: 11, 12005909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000158018 to 7 dps.\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from xnanxxbennaw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = 3*k, 0*o + 3*o - 11 = -k. Suppose r - 15 = -o*r. Let t = r + 11. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97525*d*v**2 + 82494*v**2 wrt d?\nAnswer: -97525*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42379.\nAnswer: 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-455))\/(4\/(160\/(-12))).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose j - s - 1 = 0. Suppose -3*n - j*u + 83 = 0, 5*n - 2*u - 36 = 85. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 410806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3833 + 19242\/5. Let x = n - 589\/10. What is the common denominator of x and (-4879)\/(-612) - 4\/54*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) -1\/5 (c) -1 (d) 4 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4354681 is divided by 1059?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 + -176. Which is the nearest to -2\/7? (a) 1\/3 (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -1281, -2889, -5141, -8037?\nAnswer: -11577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.2646 (b) -0.3 (c) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*t**2 - 6*t + 2*t + 220*t**2 + 4*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476952 to the power of 1\/2, to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256689 at least as big as 1256689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3271678767 to the nearest integer?\nAnswer: 57199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6) - 70\/(-20). Suppose 4*f + 42 = -j*f. Is (-1942)\/(-4) + 3\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+-2492932589605\nAnswer: -2492932589604.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = -5*s - 321999999, 5*b = -5*s - 322000005. Round s to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37067184 divided by 18\nAnswer: 2059288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.424645 to 2 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*x + 15 = 0, -10 = 3*d - 5*x - 0*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o**2\/3 - 94*o\/7 - 10\/21.\nAnswer: -2*(o + 5)*(28*o + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 61*u - 12 + 40*u + 23*u + 24*u.\nAnswer: 26*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102 + 141 + 168)*(3*x - 2*x - 2*x) + (3 - 2 - 3 + (2 + 3 - 3)*(-3 - 2 + 3))*(3*x - x + 0*x) to the form r + v*x and give v.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 - -43. What is the tens digit of (-2)\/5 + l\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/40)\/(2\/10). Let d(t) = -t**3 + 2*t**k + 1 - 10*t - t**2 + 6*t**2 + 3*t**2. Let f be d(-9). Solve 0*y + f = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 884710, 884722, 884734, 884746, 884758?\n\"Answer: 12*b + 884698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:46 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/4)\/(3\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*p - p - 12 = 0, 3*g - p = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-12))\/((-2)\/138). Let l = 56 + v. Which is the second smallest value? (a) -3\/5 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p**2 - p - 1. Suppose -156*a - 12*a - 899 = -6611. Calculate the remainder when h(4) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-157)\/(-2) - 425\/850. Solve 102*p - 115*p = v for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 679221, 2716891, 6113009, 10867575, 16980589, 24452051, 33281961?\n\"Answer: 679224*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 1 - 4*b + 3 - 1 + 2*b**2. Let o be c(6). What is the greatest common factor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 714 = -13*o. Suppose 0 = 49*a - o*a - 1080. What is the least common multiple of a and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + a**2 - 91*a + 1063. Calculate r(12).\nAnswer: -1613","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Total of -475 and -5468.\nAnswer: -5943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7567176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 305053827*n**5 - 348828633*n**2?\nAnswer: 18303229620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25022819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33d + -2c3?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 6*l + 1. Let z be h(-6). Let n be (2\/(-3) + z)*-9. What is the least common multiple of n - (-4 - 0 - 0) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = -2*w. Let v(h) = 2*h. Suppose -2*p = 3*k - 8, 0 = -3*p + k + 16 - 4. Suppose g + p*g = 10. Let u(y) = 4*y. Determine g*u(x) + w*v(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/(v*v*(v*v**6\/v*v*v)\/v*v*v)*v*v))\/(((v*v*v**4)\/v)\/v))\/((v\/v**(-2\/3))\/v)**(3\/7) assuming v is positive.\nAnswer: v**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62)\/3*3\/(-2). Suppose 0 = -2*o + 1 - v. Let p be (o\/(-50))\/((-18)\/15). Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216302 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1223 = -i + 1218, 5*i = 5*c + 35 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -58. What is the smallest common multiple of 22 and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -14005, -40519?\nAnswer: -14005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 = 3*l, d + 1 = 3*d - 5*l. What is the second derivative of -14*g - 8*g**3 + d*g - 7*g + g wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*b = -666*b - 31740 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26558758 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80730 and 675?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -344\/9 - -8171\/198. Let y = 3599\/68 + -530\/17. Find the common denominator of y and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(-13)\/78*36\/(-117).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60412 and -2.\nAnswer: 120824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20379 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-6 + 5 - -19 - (-14 + 25)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.12 (b) 1\/3 (c) 1840 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w + 3. Let q be o(1). Suppose 3 + q = l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 7*u**2 - 2*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*2*1*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 - aa0c?\nAnswer: -a9bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(931))*1)**2 + 5*(0 + sqrt(931) + sqrt(931)).\nAnswer: 84*sqrt(19) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/(-32))\/(6\/(-112)). Suppose 4*t = -5*p + 17 + y, 0 = -t - 5*p + 11. What is the remainder when 31 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 * -18.8\nAnswer: 2143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -5*a - 4*f, -37 = 50*a - 51*a - 5*f. Let p = 16 + 3. What is the highest common factor of p and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1218, -4986, -11256, -20028, -31302, -45078, -61356?\nAnswer: -80136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 + 76*o + 29. Give n(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200390.\nAnswer: 2, 5, 29, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (1 - 0))\/(-1). Suppose -2*x + 1 - 5 = -5*t, -4*t + 14 = f*x. What is the units digit of (9\/12)\/(t\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 + 44*c - 415. What are the prime factors of o(-19)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 2*m + 32. Suppose 105 = m*v - j, 0 = -6*v + 3*v + 4*j + 95. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.00019 times 5?\nAnswer: 310.00095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 972683169611 - 0.01\nAnswer: 972683169610.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.2946, -3\/4, -6\/7, 2\/3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a*k**2*m - 9*a*k**2 + 2*a*k*m + 3*k**2*m - k**2 + 407*k - 3*m wrt a?\nAnswer: -9*k**2*m - 9*k**2 + 2*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2087793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:21 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1120*m**3 - 99901 + 99901)*(-m**2 + 4*m**2 - 5*m**2).\nAnswer: 2240*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**3*z**3 - 4*o**3 - 28*o**2*z**3 - 635*z**3 - 4*z**2 - 5929 wrt z.\nAnswer: 24*o**3 - 168*o**2 - 3810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(6*sqrt(2))*4.\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17\/(-3) + (-1)\/3. Suppose -3*q + 7*q - 2 = -3*w, 0 = -5*q - 5*w. What is the tens digit of (q\/p)\/(7\/(-567))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u + 2 + 4 - u. Let a be q(5). Let m = 39 + a. Calculate the remainder when 13 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/9))**7*(g\/(g\/(g\/g**(-2\/5))))\/g**13)**(-2\/95) assuming g is positive.\nAnswer: g**(974\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2344195ml to litres.\nAnswer: 0.0002344195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-27)\/(-6)) + (-184)\/(-96). Is i less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54147\/5 != -10830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(6\/(-9)*9))\/(191\/((-210864)\/4324))?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c + -bde7?\nAnswer: -bd7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3 + 11*s + 5*s + 4 - 6*s. Give h(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(176) + (sqrt(539)*-1 + -1)**2.\nAnswer: 18*sqrt(11) + 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.74. Let x = 0.06 - w. Let t = -3 + 1. Does t = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -2*t + 115. Let i = 75 + -25. Suppose 3*r - 2*u = 8*r - t, -3*r + 5*u + i = 0. What is the greatest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 6. Suppose -3*d - q = -8*d. Let f(w) = 2*w**2 - 3*w. What is f(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**5 - 2*b**2 - 221*b wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14480?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 14 + (-5 - (-5 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 55*x**2 - 2*x + x + 3 - 54*x**2. Let m be h(0). Let g(k) = 24*k + 11. What are the prime factors of g(m)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*i = 196*i - 25, 0 = -3*s + 4*i - 4 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = -1. Let s = -253 + 286. Suppose -19 - s = -13*g. Solve t - u = -g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = 0, -5*q - 2*m = -9*q + 1486. Let t = 1130 + q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let p = x - 3. Let g be (-21)\/(-42) + 14\/12 + 0. Which is the smallest value? (a) p (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-1)\/(30\/(-25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 18*r + 3. Let l be h(-1). What is the units digit of 42\/12*l\/7*-70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*r + 8063 = 31799 for r.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4160 and 699712?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*v + 145169 + 47662 = -251433. What is the remainder when 3856 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 28*a**2 - 55*a + 982. What is l(11)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4 - 8645930*b**3 + 3737579340345*b**2 + 22425744066680*b + 18688156080400 = 0.\nAnswer: -5, -1, 864596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 390299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 15 (c) -2 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feff when four letters picked without replacement from {e: 3, f: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423, -1122, -2217, -3648, -5355, -7278?\nAnswer: -9357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + 9*m - 476. What is the highest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*s + 97*s + 32 = -4*n, -2*s = -4*n - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**5\/60 - l**4\/8 - 2*l**3\/3 - l**2 - 3*l. Let s(z) be the first derivative of v(z). Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12719201054 from 0.37.\nAnswer: 12719201054.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.023\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -3, 2\/1537, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142677 (base 10) to base 3.\nAnswer: 21020201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*v = -98*v + 16. Suppose 2*h + 2*h + d - 59 = 0, 2*h - 28 = -2*d. Solve v*j = -j + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -33862?\nAnswer: -33862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3828 is divided by 1255?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 3*i + 5*i)*(0*i - 4*i + 3*i) + (-66 + 30 - 41)*(-66 - 38*i**2 + 66).\nAnswer: 2927*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65010007 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*z - 48, 3*j - z - 19 - 3 = 0. Calculate the remainder when (-2)\/(-8) - (-54)\/j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/9)*g*g**(-2\/3))\/((g*g**(3\/4)*g)\/(g\/(g*(((g**(-5)\/g)\/g)\/g)\/g))) assuming g is positive.\nAnswer: g**(277\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -611121000 to the nearest one million.\nAnswer: -611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91653064.\nAnswer: 2, 773, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 961207.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -53, -31, -3, -29 in descending order.\nAnswer: 3, -3, -29, -31, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 116, 14, 5, 5\/4, -1, 0.208, 3?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 89*f + 1 + 22*f - 72*f + 219*f - 79*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, g: 4, s: 1, k: 1}. Give prob of picking 1 s and 3 g.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193*r**6 + 7*r**5 - 5*r**2 - 36*r - 1 wrt r.\nAnswer: 23160*r**3 + 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.2 greater than or equal to -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 + 7*q**4\/12 - 4*q**3\/3 - q**2 - 88. What is the remainder when c(6) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uffufujfduulff. What is prob of sequence fdj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) + 1*sqrt(486)*-2)\/(-5*(2*sqrt(33))\/sqrt(11)).\nAnswer: 9*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 + 3*d**2 + 0*d**2 + (d - d + d)*(4*d - 2*d - 4*d) + 0 + 0 - d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*v - 2, -21 = a + 4*a + v. Let o be 21\/15 - (-2)\/a. Suppose 0 = -b - 0 + o, y - 2 = 2*b. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-252)*48\/(-32)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1776*d. Let y(p) = -68*p. Give y(i(g)).\nAnswer: 120768*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -182045 divided by -36409\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 2. Solve -o*r = 1 - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*(-4)\/2. Let h = -593 - -618. Let q be (h - 4)*4\/12. Solve b*x + 3 = 3*j, 4*j - q = 2*x + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -939.0094 + 0.0094. Let p = t - -936.074. What is p rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84931.4 millennia to decades.\nAnswer: 8493140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 95059269 + 95059269.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25375289341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417728 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/281? (a) -2 (b) -4 (c) 1.8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2131771456 to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1056403 to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/12 + 2*o**2. Let f(d) = -6*d**2. Calculate l(f(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -304?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 12*t - 23. Let k be x(14). Suppose 4*c + b - 12 = 2*b, -3*b - 8 = -k*c. What is the highest common factor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l**3 - 20*l**2 + 20*l. Suppose v + 16 = a, 4*v + 3*a = -0*v - 92. Let f(z) = -z**3 + z**2 - z. Give v*f(n) - m(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 4*r**4 - 2*r**3 + (-8*r + 32 - 32)*(-155496*r + 155496*r - 801*r**3) as t*r + m*r**2 + d + k*r**3 + q*r**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 693 + -694. Let l(p) = -2*p**2 - 2*p + 1. Let s be l(-2). Which is the smallest value? (a) -4 (b) t (c) s (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 35. List the prime factors of w(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-36)*v)\/(v**(-14)*v)*v**(25\/4)\/((v\/(v\/v**(-16\/9)*v))\/v) assuming v is positive.\nAnswer: v**(-431\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/(y\/(y\/(y*y**3)))*y**6*y**(2\/7)*y*y*y)\/(((y*y**(2\/5)*y*y*y)\/y*y)\/(y\/(y*y\/(y\/(y**0\/y))*y)))**(-47) assuming y is positive.\nAnswer: y**(7318\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635 + -452. Let j = 321 - c. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 326 + -312. What is the remainder when 30 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 11, r: 1}. What is prob of sequence rk?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c + 0*c + 4*c + 2 - 2 - c + (-5 + 1 + 2)*(-c + 2*c + 4*c) to the form r + f*c and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 20. Suppose 4 = -2*u + g*u. Factor -4*m + 2*m**4 + 2*m + u*m + 2*m**3.\nAnswer: 2*m**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(66)\/sqrt(3))\/sqrt(11)*4.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 25*w**2. Let l(z) = -4*z + 3*z + 23 - 23. Calculate k(l(v)).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 11*l**2 + 9*l + 6. Let z be i(10). Let h be (-1)\/15*((-14)\/(-6) + z). Sort -5, h, 0.3.\nAnswer: -5, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*g**4 - 4141*g - 7*g**3 + g**3 + 4143*g + g**2 as b*g**2 + a*g**3 + m*g**4 + j*g + l and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x, 5*v + 3*x = 4*x + 19. Let a be (-1)\/v + 42\/8. Let u(o) = 4*o + 7. Calculate the remainder when 79 is divided by u(a).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1609 + 1618. Calculate the least common multiple of l and 43.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-5 + 25\/10). Let f(k) = 4*k - 4 - 4 + 3*k - 9*k. Determine f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 16*v**2 - 14*v + 12. Let g = -45 - -29. What are the prime factors of r(g)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2401, 14, -340 in descending order.\nAnswer: 2401, 14, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2109800, -4219636, -6329472, -8439308, -10549144?\n\"Answer: -2109836*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2416408*h**2 + 2114352 wrt h?\nAnswer: -4832816*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 5*l**4\/4 + 11*l + 7. Differentiate f(k) with respect to k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79178 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9 - 2*x**2 + 2*x**2 + 9 - x**2. Let g(u) = -352*u. Calculate m(g(y)).\nAnswer: -123904*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445925808 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**3 - 370*s**2 + 363*s**2 + s**4 - 5*s**3 - 18*s to o*s**2 + k*s + l*s**3 + d*s**4 + b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 116711 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t - 2*k - 15, 9 = 3*t + k. Suppose 4*j = 2*j + v + 11, 2*j + 2*v = 2. What is the remainder when j is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244194057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-15)\/(-310))*(-134 + 135).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16097271 is divided by 958.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41659165 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130895\/14 + -9343. Let s = -8\/233 + 9697\/4194. What is the common denominator of s and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 - 436*f + 6352. Determine h(-122).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -3*n**5\/160 + 87*n**4\/32 - 2523*n**3\/16 + 73167*n**2\/16 + 41*n. Factor p(a).\nAnswer: -3*(a - 29)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)*(h**0*h)\/h assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 + 186. Suppose 0 = w + z - 23, -3*w = -g*w - 3*z + 31. What is the lowest common multiple of 6 and w?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*a**3 + 32\/3*a + 20\/3 - 17\/3*a**2 = 0. What is a?\nAnswer: -10, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 6*w + 23. Let j be f(-5). Suppose 4*b = -4 + 12, j*g - 506 = -b. Calculate the highest common divisor of g and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 38*z = -s + 9, 4*z + 34 = -4*s + 6*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = -4*f. Let o(s) = s**2 + 5*s + 2. Let h be o(f). Suppose -5*v + 271 = -h*d, 3*v - 3*d = 7*v - 203. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/336 and 4\/3507.\nAnswer: 56112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3.6. Let h = w - 0.5. Let t be (-42)\/(-80) + 4\/(-10). Which is the closest to h? (a) t (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - -2369.\nAnswer: 2368.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -275?\nAnswer: 1\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 8. Let f(i) = i**3 - 7*i**2 + 7*i - 4. What is the least common multiple of f(6) and c(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 24142 = 5*v, 5*o - 10745 = -3*v + 3705. Is v a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, 0, 5, 4, -10, -2584 in ascending order.\nAnswer: -2584, -10, 0, 3, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 1213 + 1211. Let c be 3\/(-2)*(-8)\/(-3). What is the common denominator of -97\/12 and c\/(-12)*b\/(-28)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 - 288 = -64*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 6. Let b be f(-6). Suppose -6*j - 9 = 9. Let c(q) = -3*q - 21. Let u(s) = s + 7. Let m(i) = j*c(i) - 8*u(i). Calculate m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30105284 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/6 + 19*d**2\/2 - 6*d.\nAnswer: d*(d + 12)*(5*d - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*m - 5*m**4 - 135*m + 26*m**2 - 77*m**2 to the form i*m**3 + u*m**4 + d*m**2 + v*m + l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 307510405 a multiple of 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 86*y + 280. Let g be b(14). List the prime factors of (77\/2)\/(53\/g).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (110 - (1 + (55 - 33)))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 9. Let d be t(-4). Solve d*v + 9 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 times 5724\nAnswer: 1545.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-7) + 234\/81. Let g = 128\/133 - -74\/19. Let f = y - g. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63203163 + -2?\nAnswer: 63203161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4112718?\nAnswer: 2, 3, 685453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 6*g + 82. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, y: 5, w: 3}. What is prob of picking 2 y and 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7332773*k**2 + 952864.\nAnswer: -14665546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19629 - -7?\nAnswer: 19633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-5718)\/(-11) + -4*(-1)\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.057 - 0.057. Let r = 32.77 - t. Let p = -0.2287 - r. Round p to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 186434784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 15*c**4 + c + (158*c + 2*c - 12*c)*(-c**2 - c**3 + c**2) - 11*c + 6*c**4 + 11*c to r*c + v*c**4 + o*c**2 + f*c**3 + l and give v.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 1. Let d be g(3). Suppose 0 = y + y. Suppose 77 = 2*l + 3*b - 27, -b = y. What is the highest common divisor of d and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkwgk. What is prob of sequence ggk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.256 - -0.356. Let b = 149 + -149. What is the closest to z in b, 3, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 773*o + 182 + 148 + 9*o**2 + 548*o + 166*o = 0. What is o?\nAnswer: -165, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {l: 2, c: 1, y: 9, q: 1}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -3)\/((-8)\/(-16)). Let z(q) = -11*q**2 - 9*q. Let g(c) = -33*c**2 - 27*c. Let v(d) = u*g(d) + 14*z(d). Find the second derivative of v(i) wrt i.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1228b7 (base 12) to base 11\nAnswer: 191749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17438 - 17434. Put p, 2\/9, 1, -0.03, -0.2 in descending order.\nAnswer: p, 1, 2\/9, -0.03, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**3 + 360*z**2 + 9*z - 552. Determine y(60).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -32 + 46. Solve -v - 28 = 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.895704777 to two dps.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689448853.\nAnswer: 689448853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2172.7 + -2183. What is the second biggest value in -2\/15, 0, s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 332000. Let l be b(0). What is l rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6164 in -2, 3, -3\/4, -1417?\nAnswer: -1417","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4764623 is divided by 66175.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.8. Let t = -0.3 + y. Let r = -2.98 + -0.02. Which is the closest to 0? (a) t (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -54. Suppose -3*x = x - z. Let a(v) = v. Let h(g) = 3*g. Let y(q) = -q**3 + 6*q**2 + 4*q - 26. Let d be y(6). Determine d*h(t) + x*a(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 57?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 135. Let m be (843\/9)\/((-6)\/n). What is m rounded to the nearest 10?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.25 + 2.103. Let x = s + 0.14969. What is x rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7777679*a**3 - 40841*a + 3 wrt a.\nAnswer: -46666074*a","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 472\/125 + -15859\/9000. Find the common denominator of 3 + (-82)\/54 - 2 and m.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(65 - 28 - 37 - 771*b**2) to h*b**2 + d*b + o and give h.\nAnswer: 1542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + -0.27. Let j = 5 + 12. Let q = 13 - j. Which is the second biggest value? (a) i (b) 1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v**2 - 3*v - 1. Let h be k(-2). Let g = h + -1. Solve g = d - 2 + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 315.8.\nAnswer: -6.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -1244?\nAnswer: 1243.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*g - 2631, 25*g - 30*g = 4*r - 4407. What is the remainder when g is divided by 174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4208 and -73\/892622?\nAnswer: 7140976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2671*w**2 + 1190*w + 2 wrt w.\nAnswer: 5342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -3\/24664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002777792 to five decimal places.\nAnswer: -0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265072650 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8809386 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572) - 6*sqrt(572)*-4 - sqrt(572) - sqrt(572) - sqrt(572))\/sqrt(11))\/(sqrt(24)\/(sqrt(6) + (sqrt(768)\/sqrt(8) - sqrt(6) - sqrt(6)))).\nAnswer: 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1.4418\nAnswer: 0.57672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244895.8 rounded to the nearest 100?\nAnswer: 244900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 1. Let g(t) = -4*t + 7. Let c(b) = g(b) + 5*j(b). Let f be c(-6). What is the nearest to -1\/4 in -7, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135210 and 22200.\nAnswer: 100055400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*i - 14 + 4, -8 = -2*i + 4*x. Which is smaller: 1\/17 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 169. Let b(i) = 1. Determine -4*b(t) - k(t).\nAnswer: t + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 12377249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78867816*z**2 + 157735636*z**2 - 78867821*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*(-2)\/1. Suppose 5*f - 10 = 5*m, -2*f + 3*f = -5*m + 20. Let a = v + m. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1439*f**3 + 627406*f**2 + 626837*f + 870 = 0. What is f?\nAnswer: -435, -1, -2\/1439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 0*h + 37 - 42 - 4*h**2 + 5*h**3. Let a(o) = -6*o**3 + 5*o**2 + 5*o + 5. What is 4*a(v) + 5*f(v)?\nAnswer: v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mxkdhlkm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3161 and 14279.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 67889?\nAnswer: -81466.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -31*p - 303. Let a = 425 + -435. Let t be n(a). Solve t*v + 6 + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*n + 2. Find the third derivative of -k**4 + 2*k**4 - 2*k**3 - 2*k**2 + 2*k**n wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-9 + 5) - (-12 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa3 (base 14) to base 3.\nAnswer: -2212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59710 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + l + 1. Does 4 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169974607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241440 by 60360.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114365369?\nAnswer: 3, 13, 197, 145043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000845 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.008 or 0?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37478940, -37478944, -37478948, -37478952, -37478956, -37478960?\n\"Answer: -4*n - 37478936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1316 (b) 206 (c) 2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/80)\/((-204)\/(-55488))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 62. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and -369113.7.\nAnswer: -369133.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-5) - (-1878)\/(-420) and 115\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h + 416. What is the remainder when h is divided by 41 - (342\/304)\/(3\/16)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3219\/116 + -39)*(-8)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 25*t + 106 = -175, 6*t = -2*b + 14*t - 82 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-2*2 + sqrt(162) - (sqrt(162)*-2 + -1)) + 1)**2.\nAnswer: -36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -109123 (base 10) to base 15\nAnswer: -224ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 485563217?\nAnswer: 485563219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*b = -2555 + 10180 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0*a + 12 = -3*b, 3*b = 4*a - 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 6*w**2 - 6. Let x be g(7). Let n = 70 - x. Suppose -4*f + 4*c + 40 = c, 0 = 5*f + 2*c - n. What is the greatest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quuuuuuuuqu. Give prob of sequence uquu.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -192 + 190 + (6 + -1 - -1). Suppose 6*l = 11*l. Suppose -6*o + 12*o = l. Solve -4*k - v*u + 8 = o, -k - 5*u + 14 = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let l = -0.045 + -0.355. Let k = -6.5 - -7. What is the closest to z in k, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(2\/(-44)). Let z(i) = -i + 17. Let y be z(6). What is the highest common factor of r and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -377, -753, -1129, -1505, -1881, -2257?\n\"Answer: -376*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37309.\nAnswer: 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Let h = -0.037 + 0.037. Put a, h, -4 in increasing order.\nAnswer: -4, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8323555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:15 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = z + 13, -7*a + 3*a - 12 = -4*z. List the prime factors of (-2 - -22)\/(a\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128 - -181. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 33 + -1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 - -301?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:25 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10*n)\/((n**16\/n*n)\/n) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 2*j - 3 + 4*j + 3 + (-2*j + 3 - 3)*(3 + 5 - 2) - 5*j + 3*j + j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3965*t**3 + 24*t**2 - 24861*t - 47 wrt t?\nAnswer: -23790*t + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/(-2444))\/(9\/(-12))*2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93, 63, 45, 45, 69?\n\"Answer: r**3 - 37*r + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -11. Which is the second smallest value? (a) -2 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10032\/1881*((-63)\/30)\/((-6)\/(-15)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)\/1*0. Let s = 5 - w. Find the third derivative of 4*d**4 + 3*d**2 + d**s - 4*d**4 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/21 + 30*o**3\/7 - 29716*o**2\/21 + 311880*o\/7 - 1753168\/21 = 0. What is o?\nAnswer: -158, 2, 38, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raegz. Give prob of picking 1 r and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 655010, 1310019, 1965028?\n\"Answer: 655009*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**4 + 17*w**3 + 94320*w**2 - 34276419*w wrt w.\nAnswer: 24*w**2 + 102*w + 188640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 divided by -8?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a9 (base 16) in base 10?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 571, -3, -17, 5.\nAnswer: -17, -3, 5, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735 = -0*d - 5*d. Let s = -65 + d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 and (-48)\/(-18)*(-30)\/(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 11*w**2 - 6. Let t(g) = 54*g + 3613. Let b be t(-67). Let p(v) = -v**3 + 10*v**2 - 5. What is b*j(d) + 6*p(d)?\nAnswer: 4*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*b - 122, 0 = -b - 4*m - 500 + 564. Solve 9*d = -b*d - 90 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2298*p**2. Let w(x) = 6*x. Give a(w(n)).\nAnswer: 82728*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let j be 7\/(-2)*4*-1. Calculate the highest common divisor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*a**2 + 29 - 2*a**3 - 29 + (-2*a + a - 3*a)*(-a**2 + 2*a**2 - a - 3*a**2) to the form x*a + t + i*a**2 + y*a**3 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -648054, -647404, -646740, -646056, -645346?\nAnswer: -644604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -11. Let l(g) = -g**2 - 5*g - 4. Let u(r) = -4*r**2 - 19*r - 15. Let h(v) = 9*l(v) - 2*u(v). Let z be h(c). Is 0 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 52694*d**2 + 1. Let n be s(1). Let z = n + 21305. Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (13 - 6)) + 17 + -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/4 - 8*c**3\/3 + 4*c**2 + 4*c + 2. What are the prime factors of r(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)\/(2\/1). Find the first derivative of 7 - 6*b**3 + c*b**3 - 3 wrt b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6243.\nAnswer: 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8042, 8277, 8658, 9185, 9858, 10677?\nAnswer: 11642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*j = -123*j + 66. Solve 4*k - 5*m = -2, j*m - 140 = 5*k - 144 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 7*a**2 + 10*a - 22. Calculate q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-102)\/117)\/(7\/24). Let g = 2\/13 + v. What is the common denominator of g and 29\/31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(4*2\/16). Let j = o + -8. Let s be (-6)\/(-4)*4\/18. Put -0.07, j, s in descending order.\nAnswer: s, -0.07, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o**3 + 356*o - 65*o**3 + 25*o**3.\nAnswer: -8*o**3 + 356*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 92. Solve 0*i - n = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726 and 15004.\nAnswer: 45012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15*17\/(-102)*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/8 of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 37\/4 (c) -5 (d) 0.1 (e) -0.04 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-1)\/(-1))\/(36\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 13*h + 0 + 10 - 6 - 6. Let c = -58 - -64. Let a be s(c). Let p(k) = k**3 - 2*k**2 - 6*k + 1. Give p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 + f**2)*(-1 + 1 - f)*(3*f + 2*f - 4*f - 2 + (1 + 0 - 3)*(0*f + 0*f + 2*f) + 0*f + 2*f - 4*f).\nAnswer: 5*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3511*b**2 + 4 - 519*b - 3447*b**2 + 6959*b**2 as r*b + l + m*b**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(28)\/sqrt(2))\/sqrt(7).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 5. Let g be w(8). Let f(x) = -x**2 + 5*x - 1. Let c be f(g). Solve -s = -4*o + 5, -4*o = -3*o - c*s + 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**2 - 2*q - 1. Let p(u) = -7*u**2 + 3*u + 2. Let t(f) = 5*p(f) + 4*w(f). Suppose 10 = -2*b + n, 4*b + 3*n + 26 = 2*n. Give t(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1144721 or 20604955\/18?\nAnswer: 20604955\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4743 = -33*b + 5337 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/9*(-189)\/756*7*-3\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 1. Let w be c(-4). Let h(g) = g**3 + 13*g**2 - 1. Let d be h(w). What are the prime factors of (-99 - -6)*d*1?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = 4*j, -4*n + 26 = -j - j. Let v(b) = -2*b**3 - 7*b**2 + 3*b + 4. Let o be v(j). Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17231164 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147499952 and 67466?\nAnswer: 9638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -11 + 12 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/h**3)\/h*h\/h**(2\/7)*h**(-1)\/h**(3\/5) assuming h is positive.\nAnswer: h**(-101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 37*s**7\/21 + s**6\/60 - 161*s**5\/60 + 3*s**2 + 147. Find the third derivative of d(f) wrt f.\nAnswer: 8880*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 997241859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*y**4 + 10*y**2 - 500\/9 - 50\/9*y + 26\/9*y**3.\nAnswer: 2*(y - 2)*(y + 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 20\/3173189 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 + 30*x**4 + 58*x**3 - 1494*x**2 - 1496*x + 2904 = 0. What is x?\nAnswer: -6, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3369119 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 + 1781256*r**3 - 198329494612*r**2 + 5552178514512*r - 38862805872016 = 0.\nAnswer: 14, 222643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.21402nm in kilometers?\nAnswer: 0.00000000005321402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2998 and 972851.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94423, -94381, -94337, -94291?\n\"Answer: r**2 + 39*r - 94463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*c = -0*y + 28, -3*c - 26 = -4*y. Solve y*f - 9*f = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 5)*(-138*g - 124*g + 324*g) as u*g + o and give u.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1334789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 8. Let d be b(-7). Let o be ((-3)\/12 - d\/24)*3. Let j(i) = o*i - 13*i + 0*i - 14*i. Let t(z) = 3*z. Give t(j(f)).\nAnswer: -75*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3bb2 + -595?\nAnswer: -4367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a - 12. Let o(i) = 13*i + 11. Give -7*j(m) - 6*o(m).\nAnswer: -m + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010101101100101110111 (base 2) to base 13.\nAnswer: -29a5c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -227, -202, -355, -776, -1555, -2782?\n\"Answer: -15*p**3 + p**2 + 127*p - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4064 - 344. What is the highest common divisor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437951799 divided by 48661311.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 - 6449106*o\/5 + 12898204\/5.\nAnswer: 2*(o - 3224551)*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - -392. Suppose 62 = -3*i + g. What is the highest common divisor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a factor of 983073780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -326 (b) 3 (c) -1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -573e0 - 0?\nAnswer: -573e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392625 by -526.\nAnswer: 392625\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -544 by -8.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 9*u + 7. Suppose -3*o + 6*d + 23 = 4*d, -d = u*o - 34. Let v = 3 - 1. Calculate the least common multiple of o and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.8 - 43.7. Let p = x + -4.12987. What is p rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 45 = -5*s, 3*i + 5 = 4*i. Let k = -412 + 420. Calculate the greatest common divisor of k and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*m - 197, -m = -4*i - 15 - 56. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -4*l. Find the common denominator of l\/3 + (-75)\/24 and 1\/(44\/(-222)) - -1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/z**(1\/3)*z)\/z))\/(z*z**(1\/3)*z))**(-3\/11) assuming z is positive.\nAnswer: z**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - h + 101. List the prime factors of w(0).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*k - 119 + 2334, 0 = -2*k + 3*y + 875. What are the prime factors of k?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = o - 2*y - 16, o + 2*y - 35 = 0. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -4793.\nAnswer: -4\/4793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 556449426 divided by 1585326\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01247 - -0.05317. Which is greater: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432 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 k = 6 - 2. Suppose -11*n = -4*n - 21. Suppose -c + c**3 - c**k + n*c**2 - 2*c**2 + 0*c**4 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -21. Let b = -14\/5 - -33\/10. Factor -13\/2*i**2 - b*i**4 + x*i**3 - 2 + 6*i.\nAnswer: -(i - 2)**2*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25424 - 254?\nAnswer: -26011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114580*o**3*z + 2*o*z - 2836*z - 2 wrt o?\nAnswer: -687480*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2253924 and 2253923 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 632*a - 3481*a**2 - 98*a**4 + 18472*a**3 + 768*a - 1266*a**3 - 6327*a**2.\nAnswer: -2*a*(a - 175)*(7*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 81625230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i. Let v(y) = -y. Give -6*t(z) + 78*v(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**4 - 899420*q**3 - 18889584*q**2 = 0?\nAnswer: -21, 0, 224876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7580 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*b + 46702 = -1719*b - 215*b - 144*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/792 and -145\/18216.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*z**2 - 2793 + 133*z**2 - 2777 + 5570.\nAnswer: 321*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2121*p - 69. Let v be (1 - 36\/(-8))\/(1\/(-2)). Let j be m(v). Round j to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(2\/19)*j)\/j)**(10\/7))**28\/((j*(j**(-1\/4)*j)\/j)**(-2\/55)*j**(-6)\/(j\/(j**(-5)\/j))) assuming j is positive.\nAnswer: j**(119627\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h**2 + 3*h)*(-3*h - 3*h + 3*h)*(-12*h + 21*h - 12*h).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1463*1.7\nAnswer: 2487.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -177, -188?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-16))\/(3\/(-3)) - (-1 + 27\/46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1494 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3294179, 3294171, 3294157, 3294137, 3294111?\nAnswer: 3294079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q)\/q)\/(q\/q**(-3))*(q*q*q*q**(3\/2)*q)\/(q\/(q*q*q\/q**(-5))) assuming q is positive.\nAnswer: q**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 580231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 56799655?\nAnswer: 56799655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34174 and -0.17.\nAnswer: 5809.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*j + 13, 2*c - 31 + 38 = -j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95102*m**5 + 431*m**3 - 61697*m**2 + m - 20?\nAnswer: 5706120*m**2 + 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43034 - -90033. Suppose p = 7*i + 3319. What is i rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/14 and (90\/975)\/(2 + (-612)\/310).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 13*q + 3. Let h be g(-6). What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-1)\/24). Let l = g + 14. Solve 0 = -l*i + i + 5*p + 11, 6 = -3*i + 2*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 10*j. Let r be p(-9). Let q be r\/(-6)*(-30)\/3. Find n, given that n**2 + q*n + 3 + 4*n**2 + 7 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 2756*f\/3 + 2762.\nAnswer: -2*(f - 3)*(f + 1381)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/(-4)*32\/(-1200).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 3157632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -168, -329, -490, -651, -812, -973?\n\"Answer: -161*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 1, 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 457.\nAnswer: -9.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -49714.3 to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06057 rounded to three dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-66))\/(72\/99).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 28 - 10*u - 95\/2*u**3 - 65*u**2 - 25\/2*u**4 - u**5 = 0. Calculate u.\nAnswer: -7, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve f - 53 = -29*j, -2*f + 6*j + 45 = 2*f - 2*f + 3*j for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 3. Let t be b(4). Let s(d) = -5*d - d**3 - 2*d**3 + 2*d**3 - 5*d**2 + t. Suppose -m = -3*u - 8, 0*u - 2*u = -2*m. Determine s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {y: 4, r: 3, o: 6, i: 1, l: 3, k: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.85 + 1. Let x = -0.05 + o. Which is the nearest to x? (a) -2\/11 (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -27. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-30))\/((3\/4)\/1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 - -317. What is the second smallest value in i, 0.15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2162 + 2145 - (-43 + 0)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 7 in descending order.\nAnswer: 7, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 160 = 12*v - 4*u + 52, 0*v = 4*v - 3*u + 151 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4 - 3869*q**3\/2 + 2901*q**2\/2 - 16*q + 62. Factor i(l).\nAnswer: 3*(l - 967)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhf when three letters picked without replacement from {h: 11, f: 5}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2114 (base 5) to base 10.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -522846 (base 13) in base 12?\nAnswer: -786913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:54 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100422644 and 30688?\nAnswer: 803381152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5959 (c) -408\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*s**2 + 58*s**2 + 90*s**2.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 10:47 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g*q**2*x**2 + 509*g*q**2*x - g + 2*q**2*x**2 - 33*q**2 + 12*q + 2*x**2 wrt g.\nAnswer: -5*q**2*x**2 + 509*q**2*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 14*p - 6, 0 = 4*o + 4*p + 76. What is the nearest to -0.03 in o, 4, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23731483.\nAnswer: 29, 818327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.976 less than -0.434?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/845 in 1\/2, -0.7, 2\/9, 11\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -403929006109+515\nAnswer: -403929005594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 5*q**2\/2 + 25*q\/4.\nAnswer: q*(q - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/266 and 15\/304.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 954288*w**2 + 30725731*w wrt w.\nAnswer: 1908576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (10 + -29)) + 0 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(10\/3))*y)\/(y*(y\/y**(-1\/36)*y)\/y)*(y**(11\/5))**(-41) assuming y is positive.\nAnswer: y**(-15821\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-26)*1 - (-128138)\/21086?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7271408 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 17 = -2*b. Suppose b*a - 3*a - 32 = 0. Calculate the remainder when 47 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/12, -13\/61, -3, -1\/6?\nAnswer: -13\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 5*p - 4. Let t be u(3). Suppose 0 = -v + 4*v - 9. Solve -t = v*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i + 483 - 453 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3062, -6 in decreasing order.\nAnswer: 3062, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - b + 75 = 5*f, -134 + 34 = -7*f - 2*b for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/5 (b) 5.87 (c) -228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*n = -8, 607*d + n = 602*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 10*h - 5*h + 12, -5*h = 5*x + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1386, -1388, -1390, -1392, -1394?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -924 + 1054. Is i a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 + (-42)\/(-245).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161971412 to the power of 1\/2, to the nearest integer?\nAnswer: 12727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 1189 = 7294. Let d = -488 - a. What is the lowest common multiple of d and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 4*a + 3. Let v be t(-3). Let b = 0 + v. Let x = 2.34533 + -3.34533. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 739 + -587. Let t be -3 - q\/(-57)*(-21)\/(-4). Solve 5*m + c = -14, t = m - 3*m + 5*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 7 - 11. Which is the third smallest value? (a) -0.41 (b) -5 (c) i (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*(-6556)\/(-894)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 707c - -4a?\nAnswer: 70c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 + 1.95. Let t = 2 - n. Let y = 0.8 + t. Which is the third biggest value? (a) y (b) -7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11535588 and 49028?\nAnswer: 80749116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgz when three letters picked without replacement from iggiiizzi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 40*h + 2*h + 42*h - 74*h + 35*h + 7*h.\nAnswer: 52*h + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(980) + sqrt(980)*-1) + sqrt(980) + (sqrt(980) - sqrt(980)*-2*3))\/((sqrt(40) - (-1*sqrt(4840) - sqrt(4840)))\/((-1*sqrt(80))\/sqrt(8))).\nAnswer: -56*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514520437?\nAnswer: 19, 193, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2895 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q - 1. Suppose -3*d + 2*d - 4*c = -4, -16 = -4*d + 4*c. Suppose -p + 5*p = d. Let t(r) = -r. Let o be t(p). Calculate f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71439903*w**2*x**3 - 30*w**2*x - 2*w**2 - 8*w*x**4 - 3*w*x + 4*w + 22*x + 123 wrt x.\nAnswer: -428639418*w**2*x - 96*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckexegxkkeeg. What is prob of sequence cgg?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1367? (a) 28 (b) 3 (c) -54 (d) -0.4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/30 + (-4)\/10. Let t be ((0\/3)\/b)\/(-1). Suppose 165 = -t*s + 5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(972))**2 + -1.\nAnswer: -62\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410615.\nAnswer: 5, 41, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -7, -9, 2, 7 in descending order.\nAnswer: 15, 7, 3, 2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 62*q + 16 = 23*q. Let t(n) = n - 14. Give t(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 23. Let p = 24 - m. Sort -5, 5, p in ascending order.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1061 = z + 3*z, -715 = 2*w - 5*z. Is -17*w\/10*(0 - -2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 56a250?\nAnswer: -56a24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207086, 414173, 621260?\nAnswer: 828347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -16*q + 48. Let z be m(-7). Suppose 161*k - z*k = 0. Which is smaller: 82 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Suppose 0 = -4*t + 12 + 4, 2*s - 8 = -4*t. Let l(r) = -r**3 + 4*r**2 - r - 2. Let a(b) = s*z(b) - l(b). Calculate a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -4, -2, 2, 1348386 in decreasing order.\nAnswer: 1348386, 2, -2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -68\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f - 11*f + 804 - 808 + 91*f to the form b*f + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (85*q - 86*q + 66*q)*(0 - 4 - 1)*(-2 - 2 + 3) in the form p*q + o and give p.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.59 + -116.41. Let l = o + 116.9843. What is l rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42139 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020 - -100?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + y)*(-34 + 29 - 22).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 - 42 - 60 = -42*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1445210355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 292379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(60)\/(sqrt(12) + 1*sqrt(12) + sqrt(12)) + sqrt(5))*-6.\nAnswer: -8*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 42142166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61654 is divided by 230.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 2*u + 3713, 5*d - 3720 = -5*u. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 555 = -8*a. Let n = a - -324. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.07455 - 7205135219\nAnswer: -7205135216.92545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 24 - (1 - (3 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4245988039181\/373078376 + -3\/33916216. Let w = 11384 - p. Calculate the common denominator of w and 47\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725902 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 55 + 44 - 196 + 60 + 52 - 3*h. Let a(k) = -1. What is -90*a(j) - 6*q(j)?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (3 - 3))\/(-1). Let a be 3*((-5)\/(-3) - q). What is the highest common divisor of a and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-10 - -4)) + -4 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 380 + -380. What is the closest to g in -1\/4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 8. Let v be j(-5). Let k = v - -7. What is the first derivative of -5*b**k + 0 + 3*b**4 - 1 wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3 - 3*k**2\/2 - 21*k + 513. Let t be 2\/(-4) + (-21)\/6. What is the units digit of r(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -44. Let d be (v\/(-20))\/(6\/15). Suppose -t - d*t = -90. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104566914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(-2*m - 1 + 1 + (-1 - 1 + 0)*(8*m - m - 3*m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4615*c = -4606*c - 29610. List the prime factors of c.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (-3 + -1 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 32*p**2 + 356*p + 1248.\nAnswer: -4*(p - 8)*(p + 3)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -423. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -57. Let l be ((-2)\/(-1))\/((-19)\/21 + d). Suppose -8*s + l = -s. Solve -s*c + 5 = -8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9, 33 in decreasing order.\nAnswer: 33, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 69, 116, 119, 42, -151, -496?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + 0 + -2 + -10 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/12)\/((-3)\/54). List the prime factors of (-5)\/3*z\/20 - -102.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197\/126 - -35\/18. What is the common denominator of 103\/6 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k)\/((k*k**(-2\/79)\/k*k)\/k) assuming k is positive.\nAnswer: k**(476\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534 = -3*l + 6*l. Let b be (3\/(-3))\/((-7)\/2457). Let d = b - l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 17. Let d be ((-2)\/g)\/((-5)\/25). Suppose 6*f = 5*f + d. Solve -f*u = -1 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4335998 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 200, 184, 162?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-882)\/231)\/21*(-3)\/(72\/22)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 546 + -545.8. Which is the second biggest value? (a) u (b) -129 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2340\/7 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10951?\nAnswer: 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 236820*-4329\nAnswer: -1025193780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3228067 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -386, -1136, -2250, -3728, -5570, -7776, -10346?\n\"Answer: -182*a**2 - 204*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 326, -1, 305, 2\/17 in decreasing order.\nAnswer: 326, 305, 2\/17, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-10)\/(-11))*5. Let x(s) = -s**2 - 9*s + 3. Let d(a) = -6*a**2 - 47*a + 14. Let f(k) = t*x(k) + 2*d(k). What is f(8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -28 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 15?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/24 - (-272)\/390 - 102\/765. What is the nearest to b in 202, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*a - 3*t - 27, -4*a - 104 = 2*t. Is -23 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -2.314\nAnswer: -0.16198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1028 + -1023. Let c(t) be the third derivative of 0*t + 1\/7*t**4 + 0 - 13\/210*t**f - 4\/21*t**3 - 1\/735*t**7 + 7*t**2 + 1\/70*t**6. Solve c(a) = 0 for a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 10. Let h be (-1)\/3 - (-88)\/12. What is the smallest common multiple of 10 and i(h)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27804 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4545, 4396, 4281, 4194, 4129, 4080?\n\"Answer: -n**3 + 23*n**2 - 211*n + 4734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 5*x - 4. Let o be a(6). Suppose g = -p + 16, o*g + 50 = 5*p - 3*g. What is the remainder when 36 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1279\/7 + -183. Let y = 2.3872 - 0.3872. Which is the closest to -1? (a) y (b) 3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 18867705.\nAnswer: -1\/18867705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*y**4 + 1071*y**3 - y**2 + 8569786*y.\nAnswer: 624*y**2 + 6426*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from zlvzlwwvewlellvzlv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/6 and -43\/165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8144 or -8145?\nAnswer: -8144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + 1 - 23 - 5*k)*(-4*k + 4*k - 3*k**2) to the form i*k + f + m*k**2 + p*k**3 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-99))\/((-2)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -14. What is the highest common factor of h and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 522, 695, 892, 1119, 1382?\nAnswer: 1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/8*(-98)\/735)\/(129\/(-6)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63073\/5 + -1726244927\/136845. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(3\/8)*p)\/p)\/p)**(-1\/3)\/(p*(p\/(p**(-14)\/p))\/p)**(-27) assuming p is positive.\nAnswer: p**(3455\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 0. Let j = -25 + 26.3. Let z = -0.7 - j. What is the smallest value in v, z, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198 + 1189\/6. What is the nearest to 0.1 in k, -0.7, -6\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7474, -14673, -21872?\nAnswer: -29071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670.964 centimeters in meters?\nAnswer: 46.70964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 458071.\nAnswer: -45807.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2 - p**4 + p**4 + 2*p**6 + p**6 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 2 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3\/((-18)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -36\/5 (c) 0.8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11*(-2 - -1)*2. Suppose -21 = k - 5*j, 2*k - c - 6 = -4*j. What is the greatest common factor of k and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8127 + -7789. Solve -298 = 8*g - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/41? (a) 63 (b) 1\/2 (c) -0.05 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4187026 and 6.\nAnswer: 12561078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198112 divided by -82.\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/(-16) + -7)*(-20 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 3*i**2 - i - 5. What is the units digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:02 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5016*l + 5042*l - 10059*l. Let p(n) = -6*n + 15. Calculate 5*c(q) - p(q).\nAnswer: q - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -17.7, -0.5, -0.15, 2?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by -194?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 1. Let y be b(-8). Let z(c) = 31*c**2 - 5*c + 2. Let l be z(3). Suppose 0 = -5*r + l + 109. What is the greatest common divisor of y and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1282374022 and -28.\nAnswer: 1282373994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67411, -67409, -67403, -67393, -67379, -67361?\nAnswer: -67339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -683 + 675. Let a(n) = -10*n - 77. Calculate the least common multiple of 9 and a(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = 3*t. Let g(v) = -v**2 - v + 4. Let k be g(t). Let s = -7 - k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082789510 to the power of 1\/2, to the nearest integer?\nAnswer: 32906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44077*t - 119213?\nAnswer: 44077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17.7 in -4, 4, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040 = -f + 9*f. Let n be ((-344)\/(-6))\/(14\/63). Differentiate n*k**2 + 21 - 133*k**2 - f*k**2 with respect to k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 19 = 5*p + 4, 0 = a - 1. Let x = 0 - p. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.61 + -2.39. Let y = -26 - f. What is the nearest to -1\/2 in y, 0, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 9*a - 1. Let j = 14201 - 14192. Calculate i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 48*k + 16 = -49*k, -5*y + 2*k - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1434 - 236*w + 261*w - 1083.\nAnswer: 25*w + 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 2 - 23 + 51 - 15.\nAnswer: -8*n + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -172, -5, 4.\nAnswer: -172, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-13)\/((-4290)\/4)*(-455)\/91)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3839 (base 15) in base 8?\nAnswer: -27313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {f: 1, t: 2, e: 3, i: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68734566*o**4 - 88632752.\nAnswer: -274938264*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(324)*-3 + sqrt(36) + sqrt(36))\/sqrt(12).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18*x + 16. Let b(f) = 12*f + 11. Let y(r) = 7*b(r) - 5*l(r). Is 14 a factor of y(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71882100 rounded to the nearest ten thousand?\nAnswer: 71880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(-1)*2. Let m = -5570 + 5562. Which is greater: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than 53967\/4142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 306*h**2 + 12*h - 4.\nAnswer: -306*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - t = 0, -t = 4*l - 3*t - 6. Suppose 5*q - 2*w - 345 = 0, -q - 4*w + 48 = l. Let u = 70 - q. Solve r + 5*y = y + 7, -u*r - 5*y = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-1080 + 1080 - 3*z**4) + z**4 - z**4 - 2*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -372, -374, -376, -378, -380?\n\"Answer: -2*g - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120.38 + -6.3. Let z = q - 0.08. Let i = z + -114.51. What is i rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.737685 millimeters?\nAnswer: 9737.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.263*0.1\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25358.8 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4, 23*v = 20*v - y + 16. Solve 2*k - 5*x = -4, 2*x = 3*k - k + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)\/w**10*(w\/(w**(-7)*w)*w)**(-5) assuming w is positive.\nAnswer: w**(-201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/3)\/((-4)\/(-138)))\/(26798\/80394)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4866*q - 53538. Give m(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(192) + 0 + -1*sqrt(272)*5.\nAnswer: -79*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, z: 5, h: 6, q: 1, b: 1}. Give prob of sequence zb.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 522954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128924817 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*o + 3*n - 18, 5*n - 35 = -5*o. Suppose 3*k - o - 16 = 4*m, -2*k - 2 = 5*m. Is 6 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 0*g**3 - g**3)*(-3 + 3 + 1) + 138*g**3 + 225*g**3 - 83*g**3.\nAnswer: 279*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*t + 4. Let i be t\/8 + (0 - (-114)\/24). Let y(d) = -3*d + 20. Let b be y(i). What is the closest to 2 in 0.5, b, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/(1\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372 by -15828.\nAnswer: -31\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 82*x + 6. Let z(s) = 23779*s + 1738. Determine -1738*n(r) + 6*z(r).\nAnswer: 158*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26\/39*(-6)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*c - 22, 0*t + t = -4*c - 16. Suppose 29 - 125 = -t*n. Calculate the greatest common divisor of 156 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -73. Let d be (-49)\/y*4\/14. Put -0.06, 2\/7, d in ascending order.\nAnswer: -0.06, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21700?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 74 - 1119. Let b = -450 + 637. Let f = x + b. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14580 and 796797?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4663 is divided by 66?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11*h - 14*h + 327 = 0, -666 = -2*i - 3*h. Let n = i + -340. Is -2\/35 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8812 at least as big as 17162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-96)\/18)*42\/343.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.416714 grams?\nAnswer: 2416714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5 - 187*c**4 - 9832*c**3 - 145180*c**2 + 507200*c - 352000 = 0 for c.\nAnswer: -110, -40, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s - 289 = 159 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 1. Let p be m(1). Suppose 0 = p*a - 0*a + 210. Is (a\/4)\/(2\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1624 = -23*l + 27*l. Let i = 410 - l. Let f(h) = 12*h - 6. Calculate f(i).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -147486, -293606, -439726, -585846?\n\"Answer: -146120*q - 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -19 - (2 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7203861 and 1827?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 774.0604 grams?\nAnswer: 774060400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 153687\nAnswer: -614748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*a**3 + 18*a**3 + 62 - 88*a**3 - 62.\nAnswer: -179*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 = 2. Let z be (-1)\/((-1)\/((-6)\/b)). Solve -3*g + 10 = z*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -139, -149?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 110*y = -221*y - 8280 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 + -174. Does 23 divide (-40)\/o - 1556\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66629?\nAnswer: 66629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -934 + 345. Let u = 594 + q. Is u at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2027 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -13. Suppose w*v = -v + 15. Suppose 0 = v*z - 23 - 16. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, 5, -161 in increasing order.\nAnswer: -161, -18, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 2*v**2 - 2*v**2)*(1 + 3 - 3) - 4*v**2 + 2303 - 2444 + 6*v**2 to the form c*v + g + p*v**2 and give g.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28ea (base 15) to base 9\nAnswer: -13024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w + w. Let b be (-1)\/((-1)\/2) - 1. Is w\/b + 0\/2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 0 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6132 divided by -9?\nAnswer: -2044\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15501 (base 7) to base 2\nAnswer: -1000100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/5 and -137\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2226*f + 2598*f + 545460 = 104*f - 4371*f for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - y = 2*y - 10, -5 = g - 2*y. Let n(q) = -3 + g - q - 2 + 1. Calculate the least common multiple of 7 and n(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(3*sqrt(475) + sqrt(475)) + -6*-2*sqrt(475))**2 + (3 + sqrt(475) + 0 - (2 + -2 + sqrt(475)))**2.\nAnswer: 182409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/120 - 3*o**5\/20 - o**4\/3 + 5*o**3\/2 - 4*o**2. Let p(u) = 9*u**3 + u**2 - 2*u + 2. Let v be p(1). Is f(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*n. Let m(g) = 2*g + 4*g**2 - 2*g + n*g. Let f(a) = a**2. Calculate m(f(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (3 + (-1 - 8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.96718 weeks?\nAnswer: 1794550464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83304 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -20.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(45\/(-10))*1197. Let f be w\/209 + 2\/11. Suppose -2*v + 4*v - 77 = -k, -f*k = -5*v - 321. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11262730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -21, 2 in ascending order.\nAnswer: -21, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:27 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72326731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571 = -p - 567. Suppose 2*d - p*m = 340, 4*d - 5*m - 480 = 188. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9140074372.\nAnswer: 2, 11, 13, 179, 89269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 2*w - 4. Suppose -n - 5 = 2*x, 0 = -x - 2*n + 1 + 1. Let m(s) = s**2 + 3*s - 5. Let h(z) = x*m(z) + 5*a(z). What is c in h(c) = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 12*r + 4*i - 64, -3*i + 33 = r. Let y(o) = 119*o - 81. Is y(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 3, -4482199, -1\/4, 1\/8.\nAnswer: -4482199, -5\/2, -1\/4, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/5 = -4.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggeqaqeggaggqgaqqg. Give prob of picking 1 a, 2 e, and 1 g.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1822 + -837. Suppose -5*d = 3*a - 7*d - x, -5*a - 3*d = -1629. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 567 = n, 0 = 3*d + 16*n - 20*n - 838. Suppose -6*h + d = 304. Suppose 1 - 16 = 3*f. Sort h, 0, -4, f in descending order.\nAnswer: 0, h, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**4*t + 372182*r*t**2 + t**2 + 16914 wrt r?\nAnswer: -4*r**3*t + 372182*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369672 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3*j**6\/2 - 24*j**5\/5 + 9*j**4 + 30*j**3 + 21*j**2\/2 - 18*j - 380. Solve n(r) = 0 for r.\nAnswer: -3, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - 3. Let c be f(-5). Suppose -2*d = d - c. Suppose k = -b + 13, 3*k = -0 - d. Solve 5*g = 4*t - b, 3*t - 6 = 5*g + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.82. Let g = -0.02 - s. What is the closest to -0.1 in -2\/9, g, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -4*x + 5*u, x - 10 = -5*u. Let j = x + 9. Suppose v = -7 + j. Solve 4*w = -3*d - v, -3*d = w + 2*w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 47*w**2 - 53*w - 6. Let c(x) = 180*x**2 - 212*x - 23. Let m(u) = 6*c(u) - 23*j(u). Solve m(v) = 0 for v.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8383726 + 4.13838. Let u = 10 + -9.7. Let q = o - u. Round q to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.33*100\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103505.56 and 1?\nAnswer: 103505.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 404 (b) -3 (c) 4\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (1 - 5))*4. Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -108. What are the prime factors of 2432\/12 + (-2)\/x?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2869.4 and 289476?\nAnswer: 292345.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -10, -3, 28, 95, 210?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -80.8. Let d = -21.3022 - z. Let v = -0.1 - d. Round v to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6111914549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (4 + (-9 - -12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + 14a340?\nAnswer: 14a371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 - -1 - (-5 + 1). Calculate the remainder when 193 is divided by 22\/4*(z - -17).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -402, -404, -408, -414, -422?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 2*k**2 - 2*k + 2. Let i be p(0). Let l(v) = -v + 6 - 4 - 1 - i. Give l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -105, -163, -239, -339, -469, -635, -843?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*c + 4 - 8, -2*x - 18 = 2*c. Let f be x*(-15)\/(-3)*10\/(-8). Is 1\/(-5) - (-990)\/f*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60\/17 in 63.6, -2\/21, -0.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.0786105\nAnswer: -0.157221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979729 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(((-412)\/37904)\/((-5)\/4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122094517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 39, 3, -5 in decreasing order.\nAnswer: 39, 3, 2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 30*j**2 + 92*j + 58. Give r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -918660*-42.\nAnswer: 38583720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2*k + 3*t - 15, -4*k + 4*t = 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in two fifths of a litre?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is -942 less than -4707\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t + 4*b - 110 - 193 = 0, -5*t - 4*b + 42 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 17*d**2 + 2*d + 93. Let u(i) = -20*i**2 - i - 94. What is 8*o(k) + 7*u(k)?\nAnswer: -4*k**2 + 9*k + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - 2*v)*(-4*v - 2*v**3 + 3*v - 2*v).\nAnswer: 6*v**4 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28455 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38312.6 and 176?\nAnswer: 38488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4635 times 0.2?\nAnswer: -0.2927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 + 230 - p**3 - p**3 - 479.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:31 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 13*b**7\/70 - b**6\/12 - 943*b**4\/12 + b**2 - 755*b. What is the second derivative of u(o) wrt o?\nAnswer: 468*o**2 - 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23918, -47845, -71772, -95699, -119626?\n\"Answer: -23927*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kto when three letters picked without replacement from qzqzoqkqzrtk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) -2 (c) 2\/7 (d) -0.4 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -207171 and -13.20953.\nAnswer: -207184.20953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834*o + 835*o = -m + 10830, 0 = -2*m - 14. What are the prime factors of o?\nAnswer: 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -214*m - 4 + 3*m**2 + 438*m - 226*m. Let n = -1 + 4. Calculate the remainder when 63 is divided by z(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.32 + 0.22. Let d = -0.1 + v. Is -0.1 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 - 24210?\nAnswer: -24032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in 6.5, 1.3, 0.985?\nAnswer: 0.985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/19, -2, -28 in decreasing order.\nAnswer: 3\/19, -1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osooyksokmmooosyuoko. What is prob of sequence koo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3761 by -323.\nAnswer: 3761\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 26*y**3 - 23*y**2 + 7*y - 7. Let g(r) = -28*r**3 + 24*r**2 - 8*r + 8. Give -7*g(n) - 8*h(n).\nAnswer: -12*n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -7\/3*o**3 + 0*o**2 + 111*o - 65 + 0*o**4 + 2\/5*o**5. What is the derivative of i(j) wrt j?\nAnswer: 8*j**3 - 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 8. Let n = y - -19. Put 5, -1\/3, n in increasing order.\nAnswer: -1\/3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*b - 3299 + 1181, -3*b = -15. Suppose -18*m + d = -14*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1728*h**4 + 4*h - 4953 with respect to h.\nAnswer: 6912*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -72844 and -1930370.07?\nAnswer: 1857526.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3, 37*w - 41*w - 5*j - 17 = 0. What is the remainder when -8*(-4)\/w + 145 - -5 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 5. What is the units digit of (s - 1)*2*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -583 + 407. Let s = w + 289. What are the prime factors of s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 12. Solve -2*o = -v - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 + 13972*v**2 - 140084*v + 126108 = 0. Calculate v.\nAnswer: -3503, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 3*d**3 + 6*d**3)*(2529 - 81 + 1104).\nAnswer: 3552*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 322323 (base 4) in base 11?\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -801885628*b**3*t - b**2*t - 600*b**2 + 3*b*t + 105*b - 2 wrt b.\nAnswer: -4811313768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**4 - 465*h**3 - 3*h**2 - 21*h + 19.\nAnswer: 96*h - 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.04 (b) 0.4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 18 + 855*l**3 - 878*l**3.\nAnswer: -23*l**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.86*0.05487\nAnswer: -0.0471882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + (-1 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*i**6 + 2*i**2 - 42*i**6 - 12*i**2 wrt i.\nAnswer: -3000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-64)\/164)*-4. Let v = -42 + i. Which is the biggest value? (a) v (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-26 + (24 - 24)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) -31\/5 (c) -0.1997\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034332 (base 6) in base 10?\nAnswer: -51536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 54. Suppose 2*f - 3*i + 16 = 0, f + 5 = 4*i - 13. What is the smallest common multiple of r and 24*-1*(4 - (-9)\/f)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 67*a = 76. Let g be 6\/7*1*(3 + a). Solve -4*c + g*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35269 or 35270?\nAnswer: 35269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2666874\/72 - (-2)\/(-10). Let d = -37038 + f. Find the common denominator of d and 2\/18*954\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510313 is divided by 366.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711298?\nAnswer: 2, 3, 311, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 410, 2230, 5462, 10106?\n\"Answer: 706*w**2 - 298*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933649939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 271 and -0.371?\nAnswer: 271.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j*o*q**2 - 5117*j*o*q - 205*j*o + 32*j with respect to q.\nAnswer: -30*j*o*q - 5117*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrxjjxrrjjrjrrr. What is prob of picking 1 j and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*t = -r - 8, -3*r - 2*t = -4. What is the tens digit of 2\/3*63\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 72 - 148*l**3 + 122.\nAnswer: -148*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177330?\nAnswer: 2, 5, 7, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 3. Let l be p(6). Let t be (-8)\/(-2)*44\/16. Suppose b = -m + t, -b + l*m - 7 = 4*m. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203903 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.5 + -12.49942. Round x to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47977191 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 3*h - 1. Let v(w) = 0 + 1 + w - 5 + 3. Let d(m) = 3*v(m) - y(m). Suppose -q + 3 = 5*x, 0*q + 3 = -3*q - 3*x. Give d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3848*l - 896 = 3720*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(21)\/sqrt(3)))\/sqrt(12) - (-5 + -2 + (sqrt(3) + -2*sqrt(3))**2).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38174871 divided by 1\nAnswer: -38174871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3049*j - 7897*j - 9098*j as z + m*j and give m.\nAnswer: -13946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 1271463.\nAnswer: 1271462.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*j + 20. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978 is divided by 436.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5093.965l to millilitres.\nAnswer: 5093965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 96.9466m?\nAnswer: 96946600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -u + 44, -12 = 5*g + 2*u - 67. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 at least -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/8 - 33*c**3\/8 - 27*c**2 + 135*c\/2.\nAnswer: 3*c*(c - 15)*(c - 2)*(c + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Let s(b) = -13 + u*b - 9 + 22. Let i(n) = -18*n**2 - 1 + 21*n**2 + 1. What is s(i(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6, 5*l + r + 281 = 1059. What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/18 - 6) + (-16 - -3) + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16765 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 121, 4, 1 in descending order.\nAnswer: 121, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*d + 240, 0 = j - 3*d - 26 - 58. Let i = 117 - j. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:48 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/43 (b) -12 (c) 4 (d) 2\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*x**5 + 4*x - 79 wrt x?\nAnswer: -1340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124377 - -124377. Determine z, given that -2\/15*z**4 + 0 + 2\/15*z**5 - 4\/15*z**3 + u*z + 0*z**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 21, 31, 41, 51?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2563.733 micrograms?\nAnswer: 2.563733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6811012 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010011110001110001111 + -11?\nAnswer: 100000010011110001110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (sqrt(180) - sqrt(180)*1 - sqrt(180)))\/sqrt(12))\/(sqrt(48)*-1)*-4 + (1*(0 + sqrt(20) + -2 + sqrt(20)))**2.\nAnswer: -16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 6. Let b(g) be the second derivative of -g**3\/6 - 7*g**2\/2 + 5*g - 10. Give 2*b(u) + 3*d(u).\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/2, 0, -0.15, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 31963?\nAnswer: -6392.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 - (9\/(8 - -1) - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*k + 30 = 5*a, 2*k + 4 = 0. Put -4, a, 0 in decreasing order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + 15 = 0. Suppose -2*g = m + 2*m - 45, t*m + 50 = 5*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6866 = 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = 4*r + 9, -5*n - 15 = 5*r. Suppose u + r*u + 6 = 0. Let z = 101\/138 + -3\/46. Which is the third biggest value? (a) u (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64443499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2271 = -4*f - 4*j + 22753, -31256 = -5*f + 3*j. List the prime factors of f.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -271713, -271672, -271635, -271602, -271573?\n\"Answer: -2*r**2 + 47*r - 271758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2bb7 - -2?\nAnswer: -2bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 12) to base 3.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539863, 1079717, 1619571, 2159425, 2699279, 3239133?\nAnswer: 3778987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22572 and 22572.\nAnswer: 22572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(-8) assuming n is positive.\nAnswer: n**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Let a = 416\/225 + -74\/25. Put w, 2\/9, a in increasing order.\nAnswer: a, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 2*o - 13. What is r(-5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 - 2*n - 2. Give f(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 150\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 21980954.\nAnswer: -21980953.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 91. Let l be (-12)\/14 - (1 - u)\/(-5). Which is the third biggest value? (a) -0.5 (b) l (c) -2\/5 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54711?\nAnswer: 3, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*a + 1)*(0*a**4 + 4*a**4 - 3*a**4) - 2*a**3 + 2*a**3 + a**5 + (4*a**2 - 4*a**2 - 2*a**3)*(a**2 + 0*a**2 - 2*a**2) - 3*a**5 + 4*a**5 + 0*a**5.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 7*z + 6. Calculate c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:56 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from apaaappwpwawwp?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y + z = 34169, 5*z = -2*y + 22801. Let g = y - 1326. Suppose 0 = 6*i - g - 2208. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgvxbip. Give prob of sequence giig.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21.87699 centuries?\nAnswer: 218.7699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o + 22*o - 9*o)*(3*o**2 + 8 - 8) + 7*o**3 + 9*o**2 - 9*o**2.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:16 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 4*a = 15*b - 16, -8 = -5*b - 2*a. Let l(c) be the second derivative of 1\/2*c**3 + 5*c + b*c**2 + 1\/12*c**4 + 0. Calculate l(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) 9016 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(17) + sqrt(17)*3).\nAnswer: -8 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1714.49 to the nearest integer.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*x**5 + 49*x**4 + 511*x**3 - 20*x**2 - 314*x + 188.\nAnswer: 18600*x**2 + 1176*x + 3066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 8) to base 3\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + d - 1. Let l be o(-1). Let j = 6.2 - 1.2. Which is the third smallest value? (a) l (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138630 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-5)\/4 + 1). Suppose u = -u + p. Solve a + u*f = 8, -21 = 2*a + a - 3*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 59\/2 (c) 33 (d) 6 (e) -1\/9 (f) -13 (g) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/12 + l**2 - 2*l. Let u be m(0). Solve -n - 2*n + 3 = -2*z, -u*z + 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 7*t + 3. Suppose 5*n - 19 = 4*s - 3*s, 5*n = -2*s + 37. What is the smallest common multiple of s and u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 322007\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (4 + 3) - -21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 65*c + 1108. Determine t(-21).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -40 (b) -69 (c) -4.3 (d) 3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 44, -2\/3, 27, 1, -2\/7 in decreasing order.\nAnswer: 98, 44, 27, 1, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 - 1 - 2*m**3 - 3*m + 4*m**2 + 0*m**3 + 3*m**3. What is x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*j = 8, -9*j = -5*i - 8*j + 9. Differentiate 71 - i*c - 23759*c**3 + 2*c + 23684*c**3 with respect to c.\nAnswer: -225*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllquqqqu. What is prob of sequence quq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/56 and -86\/231?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Let m(a) = 4*a - 4*a + 4*a - d*a. Let n(z) = 62*z**2 + 69*z**2 - 132*z**2. Give m(n(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2062406884 from -0.18019.\nAnswer: -2062406884.18019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 3956\/344*4\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 - 1245*i - 9831. Calculate p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3894 divided by 104349.\nAnswer: 1298\/34783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1472 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*j + 13. Let d be 2 + (-6)\/j*1*-5. What is the biggest value in -0.03, 2\/3, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b. Suppose 2*s + s - 2*j - 6 = 0, b = -3*j + 9. Suppose s = 2*o - 2. Solve 3*l - o = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 15. Suppose -r - 13 = -5*r + j, w*j + 9 = 2*r. Solve -2*p = -7*p - 3*b + 7, -12 = -r*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(832) + -5 + ((sqrt(52)\/sqrt(100) + sqrt(13))**2 - (2*sqrt(1573))**2) + -4.\nAnswer: -157157\/25 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 299449070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 9. Let u be t(8). Let o = 37 - u. Calculate the smallest common multiple of o and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10028 and 21747.\nAnswer: -218078916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 796.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 6 + 3 - 49*a**2 + 3*a**2 to l*a**2 + b + u*a and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000453 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15. Let s(c) = -3*c**2 - 21*c + 26. Let h be s(-8). Let p(k) = k + 33. Let a(j) = h*p(j) - 5*r(j). Let u(f) = -f + 4. Give -2*a(g) - 5*u(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -112. Solve -5*p - t + 4 = y, -3*p + 4*t - 5 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312788 and 65380.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:58 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*f - 3 - 2, 5*f = 5*r - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -29*p**2 - 2*p. Let l(s) = 1628*s**2 - s - 811*s**2 - 815*s**2 + s. Determine f(l(t)).\nAnswer: -116*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -872, -1, 11 in descending order.\nAnswer: 11, -1, -872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -6. Let m(a) = 4*a**2 + 6*a - 1. Let t be m(-2). List the prime factors of 21*(3 + u\/t).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (3 - 3) - (-5 - 9). Suppose 13*g**2 - l*g**2 + 9*g - 4*g**2 = 0. What is g?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 5:12 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 + 8*d**2. Let v(p) = -6*p**2. Give m(v(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 1 - 24)*(0*n**5 + 5*n**5 - n**5)*(3 - 1 + 1).\nAnswer: -168*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5733\/58 - 24489\/290. Factor 15*f - 3\/5*f**2 - d.\nAnswer: -3*(f - 24)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274617 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 375238*z + 3521. Let n(j) = 533*j + 5. Let s(v) = -5*b(v) + 3521*n(v). Let l(d) = 3*d**2. What is s(l(k))?\nAnswer: 1509*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence see when three letters picked without replacement from essesee.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 242475f?\nAnswer: -2424753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:45 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -14*j - 41. Let m be w(-4). Let q = m + -20. Suppose 3*v = -15 - 0. Is q less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 3 + 3 + 0. Let f(o) = 4*o. Determine q(f(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -6805?\nAnswer: -4\/6805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 597, 822?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -382 + 388. Suppose 35 = c*d - 79. Solve 0 = d*i - 15*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13259 = 25*v - 9016. What is the highest common divisor of 132 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 - 2016*r**2 - 103680*r = 0. Calculate r.\nAnswer: -48, 0, 720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32 (b) -4\/27 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/64*4 - (-171)\/(-38).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.66 + -11.66. What is the closest to -160 in -1\/11, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -878039 (base 12) in base 13?\nAnswer: -5a35ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*i + 4101 + 1704 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10785952 divided by 2696488.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 5*z**2 - 100*z**2 + z - 48*z**2.\nAnswer: -153*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 10, 2, 34, -0.2, 28\/5 in increasing order.\nAnswer: -0.4, -0.2, 2, 28\/5, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1686\/199 + -2012951\/235218. Calculate the common denominator of s and 3\/394.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j + 16, n - 32 = 3*j. What is the remainder when n is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -112131201030?\nAnswer: -112131201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3807 and 207270?\nAnswer: 1865430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3705\/105 - 2\/7. Let m = w + -18. Let c = m - 12. What is the remainder when 24 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 14. Let m be s(10). Let t(r) = r**3 + 4*r**2 + 4. Let p be t(m). Suppose 3*j = j. Solve j = u - p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1370*k - 1365*k = 4*t + 20, -3*t - 2 = 5*k - 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmu when three letters picked without replacement from {k: 5, g: 2, u: 1, m: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7788 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.251135017 and -1.98.\nAnswer: -1.728864983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-371 + 371 + 571*k)*(6 + 6*k - 6)*(0*k - 5*k + 3*k) in the form q*k + h*k**2 + p + a*k**3 and give a.\nAnswer: -6852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 - 15771*d + 110544 = 0?\nAnswer: -5264, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k. Let b(u) be the third derivative of -u**8\/20160 + u**5\/5 - 5*u**2. Let w(n) be the third derivative of b(n). Calculate w(c(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*l = -l - 35, -2*s - 4*l = -32. Let q be (-6 - -5)\/(1\/106). Is (q\/(-3))\/(s\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*c + 4)*(1 - 2 + 0)*(-13*c + 2*c**3 + 3 + 4 - 5).\nAnswer: -6*c**4 + 39*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12525489*m**3 - 7*m**2 - 680*m - 279 wrt m?\nAnswer: -75152934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - m = -152, 5*m = -6*v + 4*v + 47. Solve v*n = 43*n + 84 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 25) + -4 + -25 - (3 + -5).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 1. Let k(f) = f**3 + f**2 - 3*f + 5. Let j(o) = 3*a(o) - k(o). Calculate j(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -39. Suppose -o = -5*u + 51. Solve -q = q - 3*y - u, 5*q + 5*y - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40\/39 - -5\/26. Calculate the common denominator of (-66)\/(-20) + 3\/15 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-120) - 78\/10. Is -25 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/((-11)\/(-33)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -2*r**3\/27 + 5*r**2\/9 - 18. Factor m(q).\nAnswer: -2*q*(q - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 7 + (7 - 2) + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1 + (sqrt(17) - sqrt(17)*1) + 0)**2 + -5.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*w - 75. Suppose 2*m + 50 = 4*v, 2*m + 3 = 2*v - w. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010010001010 - 11000?\nAnswer: -101010010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -171, -377, -665, -1035, -1487, -2021?\nAnswer: -2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 929764523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l - 5. What are the prime factors of f(-41)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252575709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86600*y**5 - 127*y**4 + 178975132*y**2?\nAnswer: 5196000*y**2 - 3048*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/12 - 446*c**2. Let a(j) = -1328*j. Determine a(z(y)).\nAnswer: -2656*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) -1518 (c) -8 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 490, 491?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 43*y + 4480 = 0. Suppose -4*i - i = -t - 120, -y = -4*i + 4*t. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2325*o + 2314*o + 55. Solve -6 - o = -11*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 * 3699.83.\nAnswer: -366283.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/367? (a) -0.1 (b) 2\/5 (c) -108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14002 is divided by 357.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-15)\/(-10) + -4)*(-4312)\/110 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/29, -9, 1\/3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 16*n - 12. Suppose 4*c - 5 = a, 14*c = 5*a + 10*c + 73. Let g be m(a). Solve 2*t = -2*u + 8, g*u + 0*u = -2*t + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1654 - 637535?\nAnswer: -635661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166309 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3771 * 0.1\nAnswer: 377.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*u + 3)*(-5 + 3 + 0) - u + 4*u - 4*u - 1 - u + 0*u + 3*u - u + 4*u - u + (1 - 1 - u)*(-3 + 1 + 1) - 2*u - u + 5*u.\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153 + -94 + -92 - -81?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10823 - 10821. Let p(c) = 2*c + 5. Let q be p(0). Solve -11 = -q*a + u*d, -d - 16 = -4*a - 3*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 less than 0.0054?\nAnswer: -693.9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 4933375*f + 0*f**2 + 4933394*f.\nAnswer: -f**2 + 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 21.0957?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(24\/(-9) - -2). Let m be 11 + (r\/(-5) - -1). Calculate the greatest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 13) + (21 + 0 + 2 - 7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 3, i: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, -30\/11, -4?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f + 13 + 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:03 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 721 = 15*k. What is the lowest common multiple of k and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((15\/6)\/5). What is the highest common divisor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.07, 1\/20, 1\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/12968 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Let i = -6 + p. Which is the third smallest value? (a) 2 (b) i (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 149*a + 1202. What is p(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 319 + 119. Calculate the greatest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Suppose k = s - 35. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:08 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 32 = -2*f, 5*i - 9*f = -10*f + 92. Let m(c) = -c**3 - 5*c**2 + c + 6. Let u be m(-5). List the prime factors of u\/(-2 + 3)*i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -11*q + 120. Suppose -3*x + 2*p = -17, 0 = 5*x - 3*p + 4*p - q. Let m = -3 + 8. Is x <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 12 = -33*p + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/123275944 and 97\/16.\nAnswer: 246551888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -103, -29, -4, -1.71, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5.79. Let x = 1.29 - r. Which is the nearest to x? (a) -3 (b) 3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 + 5*x**2 + 124*x + 118. Let w(n) = -3*n**3 - 5*n**2 - 122*n - 116. Let g(i) = -2*r(i) - 3*w(i). Factor g(v).\nAnswer: -(v - 14)*(v + 1)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.8. Let r = 13 + -27. Let y = -14.5 - r. Which is the smallest value? (a) -2 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - -7. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*r = 20, r - 3*r = 5*g - 8. Suppose g*i = -7*i + 1036. Suppose 90 = 2*t + 16. Calculate the highest common divisor of i and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55\/4 of a tonne?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 1:26 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5946521\/4 or 1486631?\nAnswer: 5946521\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212 + 64*z - 212.\nAnswer: 64*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725490904 to the nearest integer?\nAnswer: 26935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1489536885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*t - t**3 - 99*t + 4 + 6 - 1 + t**4 to the form d*t + q + o*t**4 + x*t**2 + i*t**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**2 - 3*v**2)*(4 - 6 + 3) + (1 - 2 - 1)*(v**2 + 2*v**2 - 5*v**2).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + -4 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -489\/2 + 244. What is the second biggest value in -5, -56, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -198 * 5\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.465, -1\/23, -0.2, -19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72575 - 17160. Let f = w + -55470.9964. Let h = f + 56. Round h to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-735)\/(-84)*(-3)\/(-14)*16?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g)**(-45)*g**(8\/5)*g*g*g**(2\/17))**(-2\/75) assuming g is positive.\nAnswer: g**(37618\/6375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89967358849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 338989 and 338989?\nAnswer: 338989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/19))**(-14\/9)\/(x**0*x*x**4) assuming x is positive.\nAnswer: x**(-1093\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y + 2*y + 2*y**2 + 4*y - 9 + 7*y to the form k*y**2 + v*y + a and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20804659 and 15?\nAnswer: 312069885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2, 10, -5, -71595 in descending order.\nAnswer: 10, -1\/6, -2, -5, -71595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j**2 - j**2 - j**2 + (0*j + 3*j - 6*j)*(10*j + 5 - 3*j - 2) in the form p*j**2 + g + s*j and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2355 is divided by 213?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4378333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6788792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 16*v**2 - 3*v + 68. Let y be h(16). Suppose 2*z - 18 + y = 0. Let k(p) = -p**3 - 5. Let m(n) = n + 1. What is z*k(x) - 2*m(x)?\nAnswer: x**3 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46933 smaller than 46907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.817166kg in milligrams?\nAnswer: 5817166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*t, 11*t = 4*w + 4*t + 41 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-1 - 3 + 2)*(j**2 + 3*j - 3*j)*(4 - 2*j**2 - 4).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 20*j + 2. Let o be a(-10). Solve o*t + 5*z + 16 + 2 = 0, 0 = 4*t + 4*z + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*a - 23 = 0, -b = -4*b - 2*a - 2. Let j(r) = -r + 3. What are the prime factors of j(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab8 + 3?\nAnswer: 1abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4597 and 1.\nAnswer: -4597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -610*j**3\/3 + 20651*j**2\/3 + 41561*j\/3 - 1454 = 0?\nAnswer: -2, 1\/10, 2181\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117737 + -64968. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 18*f - 10. Determine q(-11).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56758, 56678, 56598?\n\"Answer: -80*t + 56838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(21\/(-42))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 12*r - 22. Let a be q(-9). Solve -p = a*u - 5 + 33, 5*p + 10 = u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 624 - a**2 - 146*a**3 + 3*a**2 + 2*a**2 + 0*a**2 - 3*a - 5*a**2 wrt a?\nAnswer: -876*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + t + 32 = 5*t, -4*z + 2*t + 84 = 0. Let v = 7190 - 237223\/33. Calculate the common denominator of (-314)\/36*(-12)\/z and v.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 90. Suppose 0 = -l*r - 30 + 95. Let s = 141 + -91. What is the remainder when s is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3577371 - -619882?\nAnswer: -2957489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -111111001?\nAnswer: -111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -612 by -102.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**22*w))\/w**23*(w**21)**(4\/3) assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 395*b**3 - 143055*b**2*n + 85*n + 290203 with respect to b.\nAnswer: 1185*b**2 - 286110*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 18, 35, 66, 117?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 3*p - 8. Give x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 22 = 3*q, -2*l - 16 = 5*q - 2*q. Let p be 9984278\/(-14) - q\/(-14). Let n = 1403163 + p. Round n to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 23 = -4*p + 44, -3*p - 2*r = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7064871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbw when four letters picked without replacement from bwbbw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -34*n + 36. Let k be i(-9). Suppose -206 = -m + k. What are the prime factors of m?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0 = -x + 11, -4*x + 44 = 2*b. Let u be x\/(-5) + 28\/12. Factor 4\/15*z - u - 2\/15*z**2.\nAnswer: -2*(z - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11 and -6495?\nAnswer: 6494.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 508 = 14*d + 76 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - s - 29, 0*s - 2*s - 33 = -5*q. Suppose -q*v = 3*f - 89, 2*f + 2*v + 8 = 70. Calculate the remainder when f is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*v + 6*z, -4*z - 141 - 123 = 5*v - 233 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 - 376*i + 962. Let u be m(60). Let q(h) be the third derivative of -3*h**4\/8 - h**3\/3 + h**2. Give q(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -20. Let d(f) = f**3 + 3*f**2 - 3. Let g be d(-3). Which is the third biggest value? (a) -2 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2744 and -7\/433 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*k**2 - 3*b**2 - 127*b*k + 589*k**4 + 2 wrt k.\nAnswer: -4*b**2 + 7068*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-4)*(6 - (-266)\/(-57))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 470*r + 1682. What is g(-7)?\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(405) + ((sqrt(405) - (sqrt(405) - 2*sqrt(405)))*-1 + sqrt(405) - sqrt(405))))\/(sqrt(36)\/(5*sqrt(36)\/sqrt(9)))*5.\nAnswer: -225*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - (2 - 3)) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15617353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 8499 + 3616 = -43923. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -474*x + 78797. What is v(166)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let u(i) = 82*i. Determine u(o(j)).\nAnswer: 82*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43589\/5388 + -3\/449. Find the common denominator of i and 3\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2 - m + 1. Let h be p(1). Let x(i) = -i**2 + 151*i - 4893. Let d be x(47). Put d, 0, h in increasing order.\nAnswer: d, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1630260 and -47\/6038.\nAnswer: 1630260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**6\/480 + o**5\/80 - 2*o**2 + 4. Let i(p) be the second derivative of u(p). Factor i(r).\nAnswer: -r**2*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/10311433 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*q**3 - 156\/5 - 308\/5*q - 148\/5*q**2.\nAnswer: 4*(q - 39)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 559*y**2 - 558*y**2 + 1117*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/14 - 2\/7. Let r be 0 + (-1)\/2*0. Let g(q) = -q**v + r*q + 0*q**2 + 3*q - 3 + 2*q. Give g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1895 = 3*k, -2*t + 980 = -3*t - 5*k. Calculate the remainder when 4\/(-6) - t\/15 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75957677 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 4. Let i be c(4). What is the second derivative of 3*n + 2*n**i - 3*n**4 - n - 5*n wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m**(-6))\/(m**(-1))**(3\/38)*((((m**(-1\/6)\/m)\/m)\/m)\/(m*m*m**(3\/4)*m*m*m))**(2\/3) assuming m is positive.\nAnswer: m**(-1991\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56005, 112013, 168021, 224029, 280037, 336045?\n\"Answer: 56008*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 743060 and 383720.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + (-16)\/(-140). Which is the biggest value? (a) n (b) 0.2 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-12)*(-141)\/4 and ((-1)\/4)\/((-26)\/13 + 56\/34).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 2*c**2 + 2*c + 2. Let s(x) = x**2 + 3*x + 23. Let p be s(-5). Let b(v) = -5*v**3 - 11*v**2 - 11*v - 11. Give p*o(r) + 6*b(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/525*-56*5*(-7)\/(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in -8\/7, -2\/191, 1.5, -3\/2?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/213 - 67\/426. Let h(l) = -l**2 + 15*l - 10. Let k be h(15). Let o be 1\/18*-3*8\/k. Which is the biggest value? (a) u (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532067 and 1643?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 6, 2101 in decreasing order.\nAnswer: 2101, 6, -76","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*l**4 + 4*l**2 + 716 wrt l?\nAnswer: -76*l**3 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 340*d + 14450.\nAnswer: 2*(d + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - i - 44. Let f be (1 - 1)*(3 + (1 - 5)). Determine j(f).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*f + 1 + 17, p + 14 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/12 + 1\/(-3). Let d be (0\/j)\/(-7 + 5). Are d and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z**4 + 0*z**4 + 13*z**4)*(-20 - 27 + 2) as u*z**2 + c + y*z**4 + h*z**3 + i*z and give y.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*m - 12. Let s = 43\/85 - -5\/17. Which is the second smallest value? (a) m (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Let m be ((-6)\/(-2) - g)*3. Calculate the greatest common factor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*c + 235. Find the third derivative of -c*r**6 + 38*r**6 + 0*r**2 + r**2 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (1 - 0)) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3. Let s be q(0). Suppose s = -o - o. Suppose -d - 2 - 4 = o. Are -6 and d unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5538.45569179 - -455.\nAnswer: 5993.45569179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/3 in 2, -0.4, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3 + 7. Let k(j) = -j**3 - 4*j**2 + 3*j - 2. Calculate the lowest common multiple of k(y) and (-75)\/(-10) - (-1)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.042 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-18)*(-2 - -4) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 225*s**2 + 116*s + 345. Let d be g(-113). Solve -d*h + 3*h = 4*c - 16, c - 2*h = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5345, 44, -1\/86, 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 4*z)*(10*z**3 + 4*z**3 - 3*z**3)*(4*z + z - 3*z)*(123 + 63 + 42).\nAnswer: 10032*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.024 bigger than -3.808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5517\/4 - 1371. What is the common denominator of f and 5\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-708)\/(-944))\/(1\/12*-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4267?\nAnswer: 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -135519*m + 5448. Let k(y) = -224*y + 9. Let i(x) = 1816*k(x) - 3*s(x). Let r(u) be the first derivative of 2*u**3\/3 - 170. What is i(r(j))?\nAnswer: -454*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 642081?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -24) + 2)*(5782\/767)\/49\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.023 - -27219055482.\nAnswer: 27219055482.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26508 and 96.\nAnswer: 212064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 16. Suppose h = -5*c - 6, -4*h + 5*h + 4*c + 4 = 0. Suppose -h*l = -j*l. Solve 4*r = -3*b + 2*b + 6, l = -2*r - 2*b + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21762284, -21762281, -21762278?\n\"Answer: 3*c - 21762287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10593, 11372, 12671, 14490, 16829, 19688?\nAnswer: 23067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 194344 and -0.2?\nAnswer: -38868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 601 + -286. Let l = -315.0147 + t. What is l rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -18. Suppose 5*f = 5*t + 45, -2*t = -f - w*f + 39. Calculate the greatest common divisor of 28 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003421 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 4962*r - 221228. Give j(-45).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = -5*t - 8, 0 = 3*l - 3*t - 15. Let j(d) = 154 - 154 + 8*d**l. Let i(s) = -2*s. Calculate i(j(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 2, s: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 - d. Let i(s) = -4*s**3 + s. Let y(r) = 3*b(r) + 4*i(r). Let u be y(1). Which is smaller: u or 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:02 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036628619.\nAnswer: 701, 2905319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*x. Let k(f) be the second derivative of 0*f**4 + 0*f**6 - x*f + 0*f**2 + 1\/105*f**7 + 0 - 1\/50*f**5 + 0*f**3. Find u, given that k(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2010424935 to the nearest integer?\nAnswer: 44838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -492 + 639. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = -16. Suppose z*l = -4900274 - 6699726. Round l to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5808245 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 626583238 to the nearest integer?\nAnswer: 25032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-6)*-3*21588\/275247\nAnswer: -26\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -1. Let h = n - 0.1. Let i be ((-5)\/(-60)*-4)\/(6\/(-9)). What is the closest to h in -5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m)*(-6 - 2 + 0)*(-2*m**3 + 2*m - 2*m + (-18 - 96 - 25)*(3*m**3 + 0 + 0)).\nAnswer: -6704*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/150*10\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 6 + 41)*(2*j - 3*j + 3*j) as t*j + o and give t.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08464961343 rounded to 3 decimal places?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktgg when four letters picked without replacement from {g: 5, t: 8, d: 1, k: 1, f: 2}?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 172.84244.\nAnswer: 86.42122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 r when four letters picked without replacement from rccrc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6317546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 i when four letters picked without replacement from {d: 2, i: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-30))\/((-8)\/18) and (-1)\/(-3) - ((-888)\/126)\/(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 - 0.12. Let l = -0.03 + h. Which is the biggest value? (a) -0.1 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 714 - 442 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -15 + (-5 - -1) - -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 7*t + 5483 = k, -3*t + 16481 = -5*k. Is t <= 5486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -40. Suppose 0*h - 5*t = -h + p, -t = 4*h - 20. Calculate the remainder when 10 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*7\/(35\/(-9))*100\/(-1260)*-70\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11.1 * -10.7\nAnswer: -118.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4963 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -336 and -7?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 555823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -437610 divided by -43761?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 47. Let c be y(14). Solve 1 = 6*h - c*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -256c984 + 1?\nAnswer: -256c983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -1 + -5)*1)**2 + 2 - (2 + -4*(-1 + (sqrt(396) + -1 - sqrt(396)))**2).\nAnswer: -48*sqrt(11) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(1\/20)\/z*z*z*z\/(z*z**10))\/((((z**(-1\/3)\/z)\/z)\/z*z*z)\/((z**(-26)\/z)\/z)) assuming z is positive.\nAnswer: z**(-1957\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11367263 rounded to the nearest 10000?\nAnswer: 11370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22775 divided by -5\nAnswer: -4555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -6*w**5\/5 + 11*w**4\/4 - 8*w**3\/3 + 33*w**2\/2 - 934. Find the third derivative of u(x) wrt x.\nAnswer: -144*x + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -11. Suppose o*y + 4*g = -g + 823, 3*y = g + 622. Suppose y = 5*n - 698. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64910)\/(-40) + (-1)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*d - 2082 = 4*x, 0 = -2*d - 4. Suppose -4*q + x = -0*q + i, -q - 4*i = -241. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -211108.\nAnswer: 3\/211108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/((-16)\/(-416)). Let s = -5 - z. What is the highest common divisor of 306 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -10\/9, -1, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 3. Let o be j(-3). Suppose -4*z = p + p + o, p - 4*z = 24. Solve p*m + 19 - 3 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 539.9 (c) 0.03 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 157, 276, 373, 442, 477, 472, 421?\n\"Answer: -t**3 - 5*t**2 + 141*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 5. Let x be m(5). Let d = -7 - x. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52253\/135060 + -8\/2251. Find the common denominator of c and 41\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -178459.\nAnswer: -5\/178459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 - 2*q. Let c be p(3). Let v(f) = -16*f + 610. Let j be v(38). Solve 5*l = j*l + c*s + 15, -5*l + s + 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 - o**2)*(-53*o - 118*o - 11*o)*(-3 - 1 + 6).\nAnswer: 1092*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249564 by -124782.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489411\/40 - -12236. What is the common denominator of p and ((-27)\/(-4))\/((-3)\/((-6)\/35))?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/353472 and 55\/384.\nAnswer: 706944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + c + 9*c + (-c - 1 + 1)*(2 - 4 + 4) - 3 - 17*c + 6*c + 3 to h*c + w and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one eighths of a week?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30221 or 30174?\nAnswer: 30174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 26232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 p when four letters picked without replacement from xxaxxxxxaxaxpaxxpax?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f - -959?\nAnswer: 92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 162116.4*31\nAnswer: 5025608.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 565, 567, 569, 571?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*((-615)\/(-6))\/5. Let j = -24 + r. Is j*(-2 + (-36)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + (3 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -14. Let z(d) = 43*d + 5. Let k(a) = 20*a + 2. Let n(l) = p*k(l) + 4*z(l). Let q(b) = b. What is q(n(g))?\nAnswer: -8*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 1737 - 3939. List the prime factors of c.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 267354 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168220 and 56851890.\nAnswer: 6470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*l + 16 = 0, -4*l + 11 = z - 4*z. Suppose z*g + 5 + 10 = 0, -3*p - 2*g = -56. Calculate the greatest common divisor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7042?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 - -4568?\nAnswer: 4330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/869 + -44279\/6952. Suppose 4*y + 56 = -0. What is the common denominator of x and 24\/y + 2 + 15411\/(-1386)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -2*t + 2*h, 5 = h. Let z = 0.02 + 0.98. Which is the closest to z? (a) 0.5 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 24 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/5)\/f*f\/(f**(-20)*f)*f)\/(f**41*f**43) assuming f is positive.\nAnswer: f**(-326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1066, -1 in increasing order.\nAnswer: -1, 20, 1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - 11111100?\nAnswer: -11101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3319 - -5937. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103 and 31193653.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - ((-1144)\/48)\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) + 3))) + 5)**2 + -5).\nAnswer: -2872 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 830*h**3 - 38*h**2?\nAnswer: 4980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*s = -w + 14, w + 5*s = -18. Suppose 3*a = 2*k - 659 - 405, 5*a - 1064 = -w*k. Let v = k + -61. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 + 6 = 0. Let n be (-7 - t)\/(4\/(-10)). Let r(c) = 2*c + 2*c - 3*c. What is r(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 14*v**2 - 10*v + 176. Calculate o(13).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 11328?\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/267368 and -7\/20?\nAnswer: 1336840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:20 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 11*z - 648. What is the units digit of (33\/6)\/11*z\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60524638 divided by 46.\nAnswer: -1315753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18852 divided by 19?\nAnswer: 18852\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8117 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -3) + 8 + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1061 (base 9) to base 8\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-494) + 208\/1976.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4. Let r(a) = a**2. Let t(x) = 2*x**3 + 6*x**2 - 5. Let o(g) = 6*r(g) - t(g). What is 5*l(u) - 4*o(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((84\/63)\/((-1288)\/21))\/((-3)\/8). Suppose -k - 4*m = 21, -3*k - 5*m = -0*m + 28. Is q >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139561042 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 6 + -10 + (0 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 9)*(-4)\/(-6). Let v(j) = -2*j**2 + 9*j. Let p(b) = 2*b**2 - 8*b - 1. Let w(t) = 4*p(t) + 3*v(t). What is the least common multiple of w(a) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0374 and -750.\nAnswer: -749.9626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {a: 2, q: 1, u: 3, y: 6, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 30, 29, 12, -27, -94, -195?\n\"Answer: -i**3 + i**2 + 13*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 2.4, 1\/2, -2\/299 in descending order.\nAnswer: 2.4, 1\/2, -2\/299, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**6\/10 - 11*b**5\/20 - 65*b**4\/6 + 3*b**2\/2 + 153*b. What is the third derivative of g(v) wrt v?\nAnswer: -72*v - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812 and 14819?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.2059372 from -2215.\nAnswer: -2237.2059372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + 2*p)*(0 - 2 + 1) - 2*p + 2*p - 5*p + (-p + 5*p - 3*p)*(-3 + 0 + 2) - p + 3*p + 0*p - 120 + 120 - 127*p.\nAnswer: -133*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3052559 (base 10) to base 2\nAnswer: 1011101001010000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i. Let c be q(1). Let r be 3 + (0 - c) + 0\/4. Let b be (r - 0 - 4) + -2. Put 40, b, -1 in decreasing order.\nAnswer: 40, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.51 from -83938.\nAnswer: -83941.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*r + 116*r = -5*c - 41, -2*c - 12 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -644 - -644.0301. What is z rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:57 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 13*d + 3*d**2 - 13*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*r**2*z + 59655*r*z**2 + 5*r - 471*z**2 + 96138 wrt r.\nAnswer: -26*r*z + 59655*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**7\/280 - z**5\/120 - z**3\/6 + 2*z. Let g(j) be the second derivative of f(j). What is the second derivative of g(o) wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 16. Let o be l(-5). Suppose 0 = o*m + 6 - 48. Is 3 a factor of (m - 1)\/(24\/64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62079*d*k + 4*d*l**2 + 3*d*l + 790063*k*l**2 - 2*k wrt d.\nAnswer: 62079*k + 4*l**2 + 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f - 2*f - 315*f**4 + 2*f**3 + 316*f**4 + 0*f**3 + 0*f**3 - 2*f**4 - f**4 + f**4 - 2*f**4 + (4*f - 2*f + 0*f)*(-2*f**3 + 2 - 2).\nAnswer: -7*f**4 + 2*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*s = s + 40, -a = 2*s + 5. Suppose -3*b = -7 - a. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67820143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -395 + 388.525. Let p = 0.075 + d. Let t = p - -6. What is the closest to 0.1 in t, 5\/2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o - 43*o + 8*o - 59*o.\nAnswer: -117*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**3\/6 - 15*u. Calculate v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -788*n**3 - 1767*n - 14. Let w(d) = 394*d**3 + 883*d + 8. Let o(r) = -4*h(r) - 7*w(r). Find the second derivative of o(v) wrt v.\nAnswer: 2364*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294898008 to the nearest integer?\nAnswer: 17173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -21*o + 894. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -55. Let i(n) = n**2 + 14*n + 7. Let u be i(b). Suppose -3*y + u + 11 = 0. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 31, -2, -0.056748?\nAnswer: -0.056748","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81048478?\nAnswer: 2, 7, 5789177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10088374.\nAnswer: 2, 5044187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184219 and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 19*h - 24. List the prime factors of d(7).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 639043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d - 1)*(2 + 1 + 2)*(5*d + 8*d - 6*d)*(2*d - 2*d - d)*(2 - 1 - 3).\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + 2 - (1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-4))\/(2 + -3). Let b(v) = 2*v - 2. Let s(l) be the second derivative of l**3\/3 - l**2 + 2584*l. Calculate m*s(w) + 6*b(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 2*p + 3*p - 3*p + 0*p**2. Let n be g(-4). Suppose -6*k + n = -k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + (-26)\/(-4). Let k = 13 - c. Suppose 0 = 2*q + 4*g - 22, 2*q + 2*g - 30 = -k. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 26?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, 32, -1 in decreasing order.\nAnswer: 32, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28960*g + 28954*g - 57913*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -11?\nAnswer: -65\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-281461.7.\nAnswer: 1407308.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6.7207 (b) -3\/7 (c) 24 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*-5*(3 + (sqrt(832) + (1 + sqrt(832) - sqrt(832) - sqrt(832)))*-5)*1)**2.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*6*((0 + sqrt(128) - sqrt(128))**2 + -4).\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*u**3 + 4121994*u**2 + 1226427*u - 80 wrt u?\nAnswer: 48*u + 8243988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 11*x - 255. Calculate the least common multiple of 18 and x.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22199 or -22190?\nAnswer: -22190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2442, 2439, 2436?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2740127687 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1275\/300*-2*(-5)\/85.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 28*o - 52. Determine r(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcccrjdcccd. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 606713 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -6876048 and -6876048 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516242139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11888 is divided by 1980.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1354, -1835, -2412, -3085?\n\"Answer: -48*m**2 - 337*m - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.069012 and 7.12.\nAnswer: -0.49136544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 7*r + 15. Let h be (-3 + 1)\/(3 - r). What is the closest to -1\/5 in -3, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8679119*u**3 - 4*u**2 + 153524*u + 3.\nAnswer: -52074714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - l)*(43*l**2 - 16*l**2 - 24*l**2)*(l - l + l**2).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**8)\/m**5)\/(m\/m**(-3\/2)*m\/m**2) assuming m is positive.\nAnswer: m**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-2\/7))\/v))\/v*v**(-1)*(v\/(v\/v**2))**44 assuming v is positive.\nAnswer: v**(611\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29749.2084597 and -4.\nAnswer: 29745.2084597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*((-27)\/(-54))\/((-2)\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f4 (base 16) in base 13?\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 342*h + 7. Let o(s) = 348*s + 8. Let f(w) = 4*g(w) - 3*o(w). Calculate the remainder when f(1) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 23149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18567.03 + 18652. Let q = j + -68.9. Let p = 0.93 + q. Which is bigger: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*x + 2, -4*w + 0*w = -5*x. Let u be (x - 0)\/(5\/(-10)). Let b = u - 1. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -5*g**2 + 15*g**2 + 20 - 12*g**2. Let v(f) = -4*f. Calculate v(h(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67\/18 + 28\/9. Suppose -z - 128 = 7*z. Find the common denominator of m and -4 - (-4 - 51\/z).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 + -114. Which is the biggest value? (a) s (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 10 - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.1426 * 0.5\nAnswer: 0.5713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*p = -23, -5*f + 67 = 11733*p - 11729*p for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056959 = 12497*o + 611260 - 68603 for o.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 186 - 66. Let m(w) = w**3 + 4*w**2 + 2*w - 2. Let v be m(-3). Let c be 171\/19 - (v - -4). Solve -2*q + 3*q + 6 = 2*o, -4*o = c*q - r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3))**(-16)*(s*s\/((s*s**(-1))\/s)*s*s*s)**(-10) assuming s is positive.\nAnswer: s**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24140 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 7. Let h = 11 - i. Calculate the least common multiple of h and 21\/5 - 2\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:46 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:50 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150676\/15 + 10040. Find the common denominator of -31\/18 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737 and 4988456.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:12 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (24 + -26 - (-5 + (22 - 6))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -6, -0.4, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 2*l + 1. Suppose 5 = -i + 3. Let v be w(i). Put v, 0, -3 in descending order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 3*k + 2. Let s(t) be the third derivative of -t**5\/60 - t**4\/24 - t**3\/6 + 7*t**2. Let r(g) = -3*s(g) - y(g). Differentiate r(o) wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 281 = -259. Suppose 41*o - g = 37*o. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -0.184?\nAnswer: -2.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 20?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28b (base 12) to base 4\nAnswer: -12023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 times -2459\nAnswer: -8360.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 2*j**2 + j**2 - 8*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 + (-11)\/((-363)\/(-143)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-26)\/(-30))\/(2\/(-6)))\/(1196\/11960)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60.3 + 78. Let j = w - 14.7. Is j equal to -11\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140360 divided by 3509?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 + -1)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-166)\/(-18) + (-20)\/90. Calculate the remainder when (v*5)\/((-5)\/(-5)) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -219 + 110 + 109 - 8*x**2 + 8*x**3 in the form f*x**2 + g + p*x**3 + b*x and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 0, -5*a + 22322*h = 22319*h + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 17 = -3*f + 2*g, 0 = 5*f - 5*g + 25. Let z = -0.0388 - 0.9612. What is the second biggest value in f, -5, z, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 34 + 26 = -m, 0 = -2*i + 4*m + 6. Calculate the remainder when 323 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107130 = -3*s - 3*a, 0*s - 5*a = 2*s - 71405. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -30. Suppose 9*r - 204 = g*r. Let x = 126 - r. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 74. Suppose 0 = o + 5*i - 178, -5*i - 331 = -2*o - 10*i. Let m = u + o. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*g - 215 + 95 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 3*t**5\/20 - t**4\/4 + t**3\/3 - t**2 + 2*t. Suppose -5 = -3*o + 1. Is 7 a factor of s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*u - 77 + 117 = 0, u + 20 = -3*s. Is -18 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/14 and (12 + 103)*(-1)\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 29 - (11 + -14 - -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-171)*31\/((-2480)\/24)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-2)\/16). Let m(a) be the second derivative of a**3\/6 + 4*a**2 + 87*a + 2. Let b be m(s). Calculate the highest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3308 is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Let z(o) = 8*o**2 - 5*o + 8*o - 3*o. Calculate z(f(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9341 + 0.0659. What is the closest to 0.1 in 14, -1\/9, f?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 - 0.21. What is the closest to q in 0.4, 2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1325178281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -4*h + 75. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -746 (c) 12 (d) -0.02 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/21 - 8386950\/(-525).\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -34*p - 2006. Let i = -691 - p. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**5*i**2 + 815*g**2 - 27*g*i**2 - 66*g wrt g.\nAnswer: -20*g**3*i**2 + 1630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + m + 20 = 0, 6 + 4 = 2*t + 5*m. Solve -2*f + t = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1716008, -3432015, -5148022, -6864029?\nAnswer: -8580036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429549, -429545, -429529, -429495, -429437?\nAnswer: -429349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p + 29*p**2 - 57*p**2 - 8 + 3*p**3 + 9 + 32*p**2 to b*p**3 + t*p + o + y*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 699?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5124 - 33 = 0. Suppose -c = -5*u + 3603. Is u a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72395730 to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1975 and 900?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/5 + 43624*t\/5 - 43623\/5 = 0. What is t?\nAnswer: 1, 43623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*(1 - 1). Let b be (-7 + 17)*(1 + 0). Let w(s) = s - 8. Let g be w(b). Solve 2*o + g*o - 16 = d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:40 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7626 and 1984?\nAnswer: 244032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 10. Calculate the common denominator of 95\/6 and (-164)\/(-16)*k\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10353)\/2023 + (-348)\/(-68) + -5 + -3 + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 - 127*k**2 + 450*k + 977. What is the derivative of l(g) wrt g?\nAnswer: 3*g**2 - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 10. Let h = -11 - -14. Suppose -z + h = -0*z. Solve g + 5 = 0, f + 2*g + z = -w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89060961.9 to the nearest one million.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -56*j + 59*j - 2*h, 5*j - 2*h = 258. Is 33 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-42))\/(-2 - 0 - -3). Let u be (-192)\/90 - 4\/(-2). Let j = -0.2 - -0.5. Which is the biggest value? (a) u (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-16)*(5 - -1). Suppose -o + 5*o = 2*n - 20, -v*n + 5*o = -26. Let l = 2.3 + -2.4. Which is the nearest to l? (a) -2 (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3\/3 + v**2 - v - 6. Factor u(j).\nAnswer: -(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, g: 3, w: 2}. Give prob of sequence mgm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-18)\/8 - 2. Let m = -14.923 - -17.923. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlh when three letters picked without replacement from {h: 1, l: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (676 - 676 + 31*n)*(4*n**3 - n**3 - 2*n**3) - 3*n**3 - 3*n**3 - n**4 + 4*n**3.\nAnswer: 30*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3746*z**3 - 98*z**2 - 1707235*z?\nAnswer: -22476*z - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -135, -307, -531, -795?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4137065 is divided by 1034190.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 257158151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -83777 * 0.6\nAnswer: -50266.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, -1, 1, 1130 in decreasing order.\nAnswer: 1130, 1, -1, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 2*p**2 + p. Let t be r(-3). Let x be ((-8)\/10)\/((-2)\/(-15)). Let h = 6 + x. Solve -t = -2*l - h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1278 and 233559.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*w = 76*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011 - 12?\nAnswer: 12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*r - 1 + 5 = 0, -2*r - 10 = 0. Suppose 2*b + 5054 = s*b + 3*n, 3*b + 4*n - 3039 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 26*w**2 + 27*w - 22. Let k be l(25). What is the tens digit of (k\/70)\/(4\/3720)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -2 - -13 - 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (17 - 2)*12\/30. Let h(k) = k**3 + 10*k**2 + 4*k - 15. Let p(m) = -m**3 - 10*m**2 - 5*m + 14. Let q(z) = 3*h(z) + 4*p(z). What is q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706\/3191 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u - 21*u + 5*u**3 - 52*u**3 - 30*u**3.\nAnswer: -77*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2992 in -4, 2\/7, 1.8, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 2397363 = 9*x. Suppose -2*s - x = -4*i + 1240871, 4*i = -s + 2040004. What is i rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 86491?\nAnswer: 86491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660*c - 655*c = 70. Let g(h) be the first derivative of -11 - 1\/2*h**2 + c*h. Determine g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11885, -18306, -19253, -14726, -4725?\nAnswer: 10750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 8 - (16 + (38 - (14 - (32 - 8)))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -19. Let h be (-8)\/(-10)*q\/(-4). Let r(s) = -42*s - 1. Is r(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -2311, -7798, -18473, -36064, -62299?\nAnswer: -98906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 103*g + 125*g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16790131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3666052 millennia in centuries?\nAnswer: 3.666052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-32) + 2\/8. Let f(j) = -8*j. Determine f(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3317 + 3307. Put d, -0.03, -2.5 in descending order.\nAnswer: -0.03, -2.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.93728 minutes?\nAnswer: 236236800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44521582.\nAnswer: 2, 7, 37, 61, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 552 and 648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -6)*5 + 57. Suppose j + m - 45 = 0, m + q = j + 13. What is the smallest common multiple of 54 and j?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395 and 1343.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37a34879 - -3?\nAnswer: -37a34876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/117)\/(5\/(-18))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2.7 (c) -2\/13 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) + (-750)\/459. Let f = 182.7 - 182.6. Which is the closest to f? (a) 2 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 5*z + 0*z + (1 - 2 + 2)*(0*z - 2*z + z) - z - 5*z + 5*z - 2*z + 0 + 0)*(1 - 3 + 6)*(2 + 2 - 3).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.451 + -0.891. Let k = -21 + j. Let o = -0.04 - k. Which is the second smallest value? (a) 2\/7 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*q + 2137 = 3*v, 430 = v - 3*q. Suppose -r = 6*r - v. Let t = -65 + r. Let k(x) = -x - 2. Calculate k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25105771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:46 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3*d - 15 = 0. Let q be (d\/(-12))\/(1\/1). Suppose 1\/4*r**2 + 0*r - q = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3482*k**2 - 2*k**3 + 3*k - 25 + 3483*k**2 + 4*k**3 - 2*k**4 in the form x + s*k**4 + l*k + g*k**3 + f*k**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9469, 9473, 9479, 9487, 9497?\n\"Answer: h**2 + h + 9467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*13.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by -3*(4 + 0 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -7*b**2 - 5\/6*b**4 + 0*b + 0 + 0*b**3. Let w(a) = -2*a. What is j(w(y))?\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.086 + -0.014. What is the closest to -1 in d, -1.8, 0.4?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 66679.\nAnswer: 33339.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543191.7 decades to months.\nAnswer: 65183004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 544*i + 4352. What is p(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 + 47 - 52)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/297 and 58\/675.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2091 and 615?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 20*g - 19. Let x(i) = -i**2 + 14*i - 21. Let o be x(9). Suppose 3*p + o = 6*p. List the prime factors of c(p).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-1*-5 - (5 + sqrt(208)*2))**2.\nAnswer: -120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/21)\/(2\/90). Let s = w - 4. What is the tens digit of s - -49 - (-2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1341 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/(-228)*5\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -99 - 2*p - 162*p**2 + 23*p + 163*p**2 - 2*p. Let d be j(-25). Is d >= 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 63. Suppose -5*j = -9*j + 48. Suppose 0 = -16*h + j*h + 84. What is the greatest common divisor of v and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let p be k(4). Let u be -6*(-1)\/2 - (0 + -2). Suppose u*o = 21 + p. Solve -2*l + l + o = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1357203.74?\nAnswer: -271440.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/20 + -4*799545\/(-200) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**6*l\/(l*l**4\/l)*l\/l**1*l**(-1\/8) assuming l is positive.\nAnswer: l**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/8*2 - -13. Let b be (10\/(-4) + 2)\/((-2)\/o). Suppose -g + m = -3*m + 4, g = -5*m + 5. Solve g = -5*k + b*k - 5*a - 5, -3*k - 19 = -2*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 1\/120*f**6 + 0*f**4 - 1\/3*f**3 + 0*f - 1\/60*f**5 + 3*f**2 + 0. Determine l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011100100010000101 (base 2) in base 15?\nAnswer: -1d2ec9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 5, e: 2, w: 3}. What is prob of picking 1 w and 2 e?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 9*y + 88. Is b(-19) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 + 1 = 0, 5*v - 5*z - 155 = 0. Let m = 51 - v. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7698063, 15396045, 23094027?\n\"Answer: 7697982*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, 4, 25, -1\/2, 0.17 in decreasing order.\nAnswer: 25, 14, 4, 0.17, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(18\/11))\/c))\/c**(1\/43))\/((c\/(c*c\/(c*c**(9\/8)*c)*c))\/(((((c**24\/c)\/c)\/c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(81311\/3784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -66*h**3 + 138530*h**2 + 563588*h + 33648 = 0.\nAnswer: -4, -2\/33, 2103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c - 893. Give p(-63).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 - -142.9. Which is the second smallest value? (a) -3 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*4 + 0 + sqrt(539))**2 + (sqrt(539) + -3)**2 + -2 - ((5 + sqrt(539) + -4 + sqrt(539))*1 + 3).\nAnswer: -56*sqrt(11) + 14017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 + k - 1. Let r(v) = 2*v**3 - 53*v**2 + 7*v + 26. Let n(h) = 6*f(h) + r(h). Determine n(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 31 + -6)\/12*4\/33?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -724 by -362.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/5280 and -55\/12?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 70589?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20*w**2. Let i(n) = -1. Let l(h) = 7*h + 42. Let o(a) = -42*i(a) - l(a). Give t(o(u)).\nAnswer: 980*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/70 and (-30)\/3 - (18089550\/(-29484))\/61.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**3 - 11*g**2 - 17*g - 17. Let l(f) be the first derivative of 3*f**4\/4 - 4*f**3\/3 - 3*f**2 - 6*f + 769. Calculate 17*l(j) - 6*m(j).\nAnswer: 3*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -74*k - 20. Let q be z(4). Let o = -310 - q. Let -51\/2*g**3 + 45\/2*g**5 + 0 + 39*g**4 - 30*g**2 - o*g = 0. What is g?\nAnswer: -2, -2\/5, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 8441.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)*s**(-5))**(1\/37)\/((s\/s**(-1\/2))**(-38)*(s**3*s)\/(s\/s**(1\/9)*s)) assuming s is positive.\nAnswer: s**(18143\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) 0 (c) -0.1 (d) -0.03 (e) 211\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:09 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 - 3*h**2)*(2 - 2 - h**3) + 5*h**5 + 12*h**5 - 8*h**5.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**2. Let s be ((-5)\/(-15))\/(1\/(-9)) + 309. Let f(n) = 0*n - 291*n**2 + s*n**2 + 0*n. Give g(f(y)).\nAnswer: 2025*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1*6)\/(16\/64). Let w(l) = -8*l + 130. Let g be w(i). Solve s + 5*y + 0 + g = 0, 0 = 5*y + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = 4*u, -2 = -4*u - 0*u - 2*h. Suppose 3*b = -b + f + 487, -b - 4*f + 109 = u. Let k = b + -57. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.093 - -2.093. Let w = -1.3 - -0.3. Suppose 2*j + 15 = -4*o + 1, -4*o = -2*j + 10. Which is the closest to j? (a) w (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**4 - 14*h**2 + 305191*h - 255487447 wrt h?\nAnswer: -12*h**3 - 28*h + 305191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 37.7\nAnswer: -11.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/180 + t**3\/3 - 3*t**2. Let l(q) be the first derivative of w(q). Factor l(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-30) - 61\/(-10). Suppose z + 6 = 12. Let b = z - c. Sort 0.4, 5, b in decreasing order.\nAnswer: 5, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1203 (c) 117 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 121.8056 millilitres?\nAnswer: 0.1218056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 - 4*d**3 + 4*d**3 - 4*d**5 + 2*d**5 + 0*d**5 + (-4*d**3 + 2*d**3 + 4*d**3)*(2*d**2 - d**2 - 2*d**2).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13760976 by 1720122.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 4 + 2 - (-13 + 16\/8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3106677, -6213355, -9320033?\nAnswer: -12426711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*j - 12. What is the closest to 1\/3 in -0.4, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (327\/1)\/(-3 - -6). Let t be 10 - 8 - (111\/j - -1). Is t equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26562016499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20218969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 271*g + 9. Let m(o) = 544*o + 26. Give -5*c(t) + 2*m(t).\nAnswer: -267*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 8:35 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -9*v - 39. What is the nearest to 2\/3 in -1\/3, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49bf (base 16) to base 14.\nAnswer: 6c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 + 1818*v**3 + 5575*v.\nAnswer: -40*v**3 + 10908*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -205*i**4 + 82*i**2 - 34417.\nAnswer: -820*i**3 + 164*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, b: 2}. Give prob of picking 1 b and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2313712 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/258 and 13\/860.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -3\/8, 4, 3, -0.11, 8\/13?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118657043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(8 + 3 - 10)*(2*f - 3*f + 0*f)*(1689 - 119 - 88).\nAnswer: -2964*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-5) + (-340)\/10 - 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7657, -30767, -69347, -123397?\nAnswer: -192917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 127, 137, 111, 49, -49, -183?\n\"Answer: -18*s**2 + 64*s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1077*a**2 - 11883*a + 12960.\nAnswer: -3*(a - 1)*(359*a + 4320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y - 3*n - 143, -n + 193 = 5*y. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 17*f. Let u be o(-12). Let s = u + 87. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6813*q**6 + q**2 + 1437?\nAnswer: -817560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -35720 divided by 235\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0611223 tonnes in micrograms?\nAnswer: 61122300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 62*y**2 - 2*y - 96. Determine h(-31).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4b257 (base 13) to base 3\nAnswer: -21001102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 4:23 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 - 2) + 0)\/(2\/36). Let t be -4 - 24\/36*-1*3. Put g, 5, t in descending order.\nAnswer: 5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.181 - 0.081. Sort 3, -2, p, -5 in ascending order.\nAnswer: -5, -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2. Suppose 0 = -2*f + 4*c + 250 - 222, -2*c = -4*f + 68. Let w be f + b - (0 - 18\/6). Solve -2*q - w = -3*i - i, 5*q + 14 = -2*i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1372*z**2 + 2*z - 2. Let q(s) = -2369439*s**2 + 3455*s - 3455. Give -2*q(v) + 3455*y(v).\nAnswer: -1382*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2132?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 30 + 36. Suppose -i + 6 = 4*c - 0, 0 = -4*c - n*i + 10. Let p be (-120)\/(-48)*c*2. Solve 4*t - 2*t + 1 = q, -3*q = -p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-14) - (8479962\/(-182) + (-543)\/2353)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*(sqrt(2057) + (sqrt(2057) + sqrt(2057) + -1 + sqrt(2057) - sqrt(2057) - sqrt(2057)))*-4 + -1))**2.\nAnswer: -295680*sqrt(17) + 52666256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - 11*g - 2*g**3 + 3*g**2 - 4*g + 19*g + 3*g**4 in the form a*g**4 + b*g + w*g**3 + v + z*g**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i + 4992. Is i a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -310.7 + 326. Let c = j + -15.3. What is the third biggest value in c, 2, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4264 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -809 + 407. Let s = 402.0503 + p. Let a = s - 0.048. What is a rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 2. Let i be l(4). Which is the second smallest value? (a) -1\/2 (b) -0.01 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35196 + -35191. Solve -p*d + d - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748382.\nAnswer: 2, 383, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 8:47 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26767 + 41498. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 + 9*l + 135. Let i(x) = -269*x + 4. Determine b(i(d)).\nAnswer: -361805*d**2 + 8339*d + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/7 (c) 0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 1406022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5416*c**2 + 2 - 2 - 5414*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) -31 (c) 3 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 467087 = 2*q + 2*v, -5*q + v = -1167709. Let l be -1 + -1 - (-8 + 370548). Let o = l + q. Round o to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1653053 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15435738 divided by 8706.\nAnswer: -1773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from nblxxxn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 23 - 107 = -2*x, -3*s - 260 = -4*x. Suppose x = 2*q - 5*k - 1, -5*q + 165 = 3*k. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22944, 45877, 68802, 91725, 114652, 137589?\nAnswer: 160542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + ((-3)\/1 - -22) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 90*x**2 + 18*x - x**3 - 32 - 90*x**2 + 42 to the form m*x + z*x**2 + t + s*x**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a = 15*a + 66*a - 759. Solve a*z = 9*z - 84 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 - 11*z**3 + 50*z**3 + 77*z**3 + 8*z**2 - 8*z**2.\nAnswer: 131*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w = 64*w + 45 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/40018 and -11\/102.\nAnswer: 120054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 8. Let h(r) = -r - 2. Let a be h(-8). Let v be f(a). Let j be 14 + 2 + (2 - v). Solve -2*o = o + 2*y - j, 3*o = y + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, -3\/8, -2, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15663219 divided by -41547\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**3 - 60905*a**2 + 96238780*a - 10565692260.\nAnswer: 5*(a - 2986)**2*(2*a - 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:47 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f - 604 = l, -4*l = -4*f + 816. Let c = -197 + f. Let g(k) = k**2 - 5*k - 1. Let n(b) = b**2 - 9*b - 2. Determine c*n(h) - 5*g(h).\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53627402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002457462072 rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1558506348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/7 (b) 4 (c) 427 (d) -8 (e) -0.19 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*d + 250*d = 0. Let s(h) = -h - 1. Let y(f) = -5*f - 47. Let b(g) = 2*s(g) - y(g). What is the units digit of b(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:11 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 20 = 4*i - 3*l, -2*l + 17 = -3*i. Let g(x) = -7*x**3 + 2*x**2. Let n(u) = -21*u**3 + 7*u**2. Determine i*g(f) + 2*n(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645047 is divided by 194.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 9*w**2 + 93*w - 753. Calculate f(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1 - (-7 + 5). Let g be (u\/(-30))\/(4\/(-10)). Is -1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -8, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46911, 46022, 45133?\nAnswer: 44244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (13 - 9) + 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2\/(4\/(-10)). Let b(q) = -7*q. Let a(t) = t**3 + 11*t**2 + 9*t - 8. Let w be a(-10). Let u(h) = 1 - 1 - 5*h + w*h. Calculate r*u(s) + 2*b(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160 - 96. Let r = x - 16. Let w(p) = p**2 + 5*p - 3. What is the least common multiple of w(-8) and r?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/325*5 + 2\/13. Which is smaller: 6\/23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15260578 - -15260464.11731. Let b = 113.9 + n. Round b to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 318*b - 20. Let h be d(9). Let o = h + -1985. Suppose -11*g + o = 230. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {l: 2, p: 6, f: 4, q: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94 minus 3052809.2?\nAnswer: -3052808.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 376*x = -373*x - 8, -10*k + 2*x + 32 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -132. Let p = -53 + v. Is p < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v**(-37)))*v\/(v\/(v\/(v**13*v)))*v)\/(v**27*v*v**(-4)*v*v) assuming v is positive.\nAnswer: v**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 324304 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-45)\/(-9)))\/(-12*13\/(-4368))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 871, 1792, 2779, 3838, 4975, 6196, 7507, 8914?\n\"Answer: p**3 + 27*p**2 + 833*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55231.8 + 55232. Let u = 3\/17 + 19\/85. What is the third smallest value in -0.05, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256bc (base 16) to base 15.\nAnswer: -30636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11303*j + 0 + 11296*j + 6 - 2 + 0.\nAnswer: -7*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j + 1. Let g(u) = -2*u**2 - 3*u - 3. Let c(i) = -g(i) - 3*m(i). Suppose 0 = 3*n - 6. Let z(x) = 5*x**2 - x**n - 2*x**2. Determine z(c(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 226*q - 16452. What is r(73)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p*p**8\/p)*p**(-3\/5)*p*(p*((p*p**0\/p)\/p*p*p)\/p*p)**(2\/133)*((p*(p\/p**14)\/p)\/p*p**5*p)**15 assuming p is positive.\nAnswer: p**(-84169\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.6 + 41.6. What is the biggest value in 8, 101, y?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3 (b) -1.1 (c) 125.2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0796121421 and 147.\nAnswer: 147.0796121421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 7*y - 15. Suppose -q = 3*q - y. Is 15\/(-10)*(2 + (-804)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96763.66l to millilitres.\nAnswer: 96763660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16811619 or 16811618?\nAnswer: 16811618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38511.960133 and -134.\nAnswer: -38645.960133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1711 and 1102?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*o + 83, -4*u = 3*o - 8*u - 43. Is o smaller than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8625, 8594, 8563, 8532, 8501, 8470?\nAnswer: 8439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/34441 and -1\/86756879?\nAnswer: 86756879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 47*t - 72. What is q(0)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/2236*16\/12*1)\/(-3)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201434 divided by -1200?\nAnswer: -100717\/600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -973 + 994 + (1 - 3) + -21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*z**5 + 9786196*z**3 - 146861487*z wrt z?\nAnswer: 260*z**3 + 58717176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**5 - 1060*x**3 + 17*x**2 + 18*x?\nAnswer: 120*x**2 - 6360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 25. Which is the biggest value? (a) 1 (b) 3\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**2 - o + 7. What is the hundreds digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxkmqxmqxkxxxm. Give prob of picking 1 x, 1 q, and 2 k.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*g**3 + 79*g**2 + 15399*g.\nAnswer: 228*g + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5 + 4*r - r**2 - r + 2. Let g be p(5). Suppose 9 - 21 = -4*t. Put g, 2\/13, t in increasing order.\nAnswer: g, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(57)\/sqrt(3)*6 + ((sqrt(171) - sqrt(171)*-1*5) + sqrt(171))\/sqrt(9) + 4.\nAnswer: -17*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 511.8 - 499. Round g to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 (base 13) in base 3?\nAnswer: -10222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588576717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 17*a + 1. Let x be 16\/1 + -2 + 3. Let u be r(x). Suppose i - u = -2. Sort i, -5, 3 in descending order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*p + 5*p**4 - 24*p + (0*p + p**4 + 0*p)*(-2 + 2 + 4).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 0*t + 3*t - 1659347*t**3 + 1660497*t**3.\nAnswer: 1150*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**3\/3 + 16528*i**2\/3 + 16839680*i\/3 - 484556800\/3 = 0?\nAnswer: -2080, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -3913, -2, 0 in decreasing order.\nAnswer: 10, 3, 0, -2, -3913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 6*q - 2. Let w be a(5). Suppose 2*k = -w*k. Suppose -2*o - 4*r = -0*r - 30, 4*r - 25 = -o. Solve 5*i - 5*s - 25 = k, o*i = s + s + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 = 146*s + 119 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - 2.85. Let c = s - -6. Let b = -5662 + 28307\/5. What is the fourth smallest value in c, -0.04, b, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4)*-2)\/sqrt(2) + sqrt(4)\/(sqrt(2)*-3))*2 + 2)**2.\nAnswer: -56*sqrt(2)\/3 + 428\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 less than -275978458?\nAnswer: -275978456.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, -553.85, 1\/2, -1\/6, 2, 3 in ascending order.\nAnswer: -553.85, -178, -1\/6, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, 2440, 2, 1 in increasing order.\nAnswer: -4, 1, 2, 16, 2440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*m + 12 = -h, 4*h + 2*m - 22 = 0. What is the remainder when 17 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**4 + 6*k**3 + 3*k. Let l(v) = 4*v**4 + 7*v**3 + 3*v. Let p(t) = 6*l(t) - 7*r(t). Find the second derivative of p(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(1\/6)*t*((t\/(t\/(t\/t**1)))\/t)\/t*t**(-1\/8)*(t**(-3\/7)\/(t*(t\/(t\/(t*t**(-6))*t)*t)\/t*t*t))**(-22) assuming t is positive.\nAnswer: t**(-3231\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -32, -36?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 1 + 1)*((-3 - 5 + 3)*(-g + g + 2*g) - 89*g + 316*g + 85*g).\nAnswer: -302*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-7))\/(1\/7). Let x(k) = -8*k**3 - 6*k**2 - 6*k + 6. Let v(b) = b**3 + b**2 + b - 1. Determine o*v(s) - x(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v**2. Let h(x) = 93*x**2. What is s(h(f))?\nAnswer: 95139*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098809030.\nAnswer: 2, 5, 11, 9989173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 28. Let g(b) = 2*b. Determine g(l(y)).\nAnswer: -6*y + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - 3*(sqrt(96)\/sqrt(4) - sqrt(24) - sqrt(24))) + sqrt(24) + sqrt(24))\/sqrt(12).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:28 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 3878*o**2 + 3869660*o - 211589800.\nAnswer: (o - 1910)**2*(o - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/(-82))\/(1\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 102*v**2 - 3*v + 2. Let r(x) = -101*x**2 + 3*x - 1. Let n(j) = -5*c(j) - 6*r(j). Let l be n(-2). Let y = 545 - l. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 119, 101, 95, 107, 143, 209, 311, 455?\n\"Answer: k**3 - 25*k + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 36 = -3*u. Let q = -3 - -8. Suppose -g - p + 78 = 2*p, -5*g + 350 = -q*p. Calculate the greatest common divisor of g and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.5 (c) -0.3 (d) -16\/5 (e) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3837*b**3 + 4*b + 28463.\nAnswer: -11511*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/13, -4, 0.2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372740 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -114, -116, -118?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 7, 4, -6\/19 in decreasing order.\nAnswer: 7, 4, -0.1, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 30 = 4*n. Suppose 25*l = 35*l + 40. Let k be 91\/(-14) + n + (-2)\/l. Solve 4*x + k*x - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u**3 - 2*u**2 + u. Let p be a(1). Let x be (-3 - (-17)\/4)*p. Suppose -3*h = -x - 13. Solve -3*m + 12 + 9 = 3*w, -h = m - 5*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/4)*b**(3\/2)*(b**(2\/17)\/b)\/b*b*b\/((b\/(b\/b**(-4)))\/b))\/((b**(-1\/3)\/b*b\/(b*b**6))\/((b\/(b**(1\/5)\/b))\/((b\/b**6*b)\/b))) assuming b is positive.\nAnswer: b**(22441\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose -k - 5*f - 8 = a, 7*f + 13 = -3*k + 3*f. What is the units digit of 5\/(1\/(-3)*k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.92, 5, -2, 17\/4 in ascending order.\nAnswer: -2, -0.92, 17\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 13*q + 31. Suppose -q*o + 1284 - 1944 = 0. Sort o, -5, 5.\nAnswer: o, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3288*o - 1736196 = 7701*o - 4490*o + 6654*o for o.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11838, 26140, 40442, 54744?\nAnswer: 69046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/(-12))\/((15\/10)\/3) - -6?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/20*(460\/6210)\/((-1)\/9)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/(-92)*2\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 530*y**2 - 6*y + 4. Let g(z) = -526*z**2 + 7*z - 5. What is 6*g(i) + 7*r(i)?\nAnswer: 554*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + -0.14. Let j = -0.27 - x. Let r = 1.2 - -19.8. What is the second biggest value in -0.5, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076759644.\nAnswer: 2, 37, 7275403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 12) to base 16\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 divided by 47.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6472, 6481, 6488, 6487, 6472?\n\"Answer: -d**3 + 5*d**2 + d + 6467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eexerxezeqegeeeeeqee. What is prob of sequence xzqr?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z - 4. Let f be j(-1). What are the prime factors of (-2 + 5 + f)*-3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*n - 1225 - 1224 + 2449 + 228*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Give o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 2, 70058 in decreasing order.\nAnswer: 70058, 9, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 3*d + 51 + 8*d - d - 16*d. Give c(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:15 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + i - i)*(-51 + 51 + 2*i)*(58 - 30 - 11).\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8 + -5 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 2, v: 1, t: 1, f: 2}. What is prob of sequence fcck?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.26, -17, -4\/7, -2\/3?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174\/(-116) - (-65157)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 8. Suppose -6*h = -w*h - 14. Let q = -3 + h. Solve 3*j = -s + q*s + 6, -3*j + 2*s = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 + 1.19. Let v = -3.7 - p. Which is the third smallest value? (a) 0.2 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 15*i + 34. What is p(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = k, -3*k + 4*k = -5*u + 12. Let y = 95 - 67. Suppose 5*j - y = u. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76)*-1 + 3*1*sqrt(76))\/(-2*sqrt(64) - (sqrt(64) - sqrt(64)*-2))*1.\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -97*n - 3. Suppose -s + 3 = -2*t + 3*t, -4*s + 13 = 3*t. Does 19 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322690 and 34822?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**4\/24 + 3*h**2\/2 - 11. Let f(u) be the second derivative of g(u). Let t(z) = -8*z**2. Give f(t(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**7\/140 + u**6\/360 - u**4\/24 + u**3\/2 + 2*u. Let t(a) be the second derivative of r(a). What is the units digit of t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -140*y**2 - 15*y - 15. Let x(o) = -20*o**2 - 2*o - 2. Let f(g) = g**2 + 8*g - 135. Let a be f(-15). Calculate a*x(q) + 4*u(q).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20636347 (base 8) to base 5\nAnswer: -2112002003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1977, 4800, 9129, 15720, 25329, 38712?\nAnswer: 56625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 3*j**2)*(-2*j**2 - 3*j**2 + 7*j**2) + (-2 - 3 + 4)*(2*j**3 - j**4 - 2*j**3).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13*f**2 + 386*f + 7605. Let i(v) = -28*v**2 - 771*v - 15210. Let o(r) = 4*i(r) + 9*x(r). Find d such that o(d) = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 divided by -8?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 + v + 36. Let d(c) = 56*c**3 + 2*c - 49. Let g(a) = d(a) + 3*p(a). What is the first derivative of g(o) wrt o?\nAnswer: 168*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6133, -196 in descending order.\nAnswer: 4, -196, -6133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 1. Let x(j) = -2*j + 1. Let m(t) = -5*p(t) + 8*x(t). Let o(n) = 4*n - 19. Let v be o(6). Give m(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -75, -144, -249, -402, -615, -900?\n\"Answer: -2*b**3 - 31*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*16\/(-28))\/(8\/56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.97 - 0.03. Let u = v + 2. Let t = 0.2 + -0.2. Is u less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 13*j**2 + 11*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*v = -4, q = 2*q + 3*v + 13. Let h be 4\/4 + 3 + -2. Suppose -3*j + h = -2*j. Solve d + 3*f = 8, -j*d - 3*d = q*f - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.53 + -1.13. Let n = 0.4 + -0.7. Which is the closest to 2\/5? (a) n (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -7*j**6\/30 + 5*j**2\/2 - 8*j. Differentiate t(d) with respect to d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghe. Give prob of sequence hge.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/(-42) + 3 + 26\/(-42). Which is the third biggest value? (a) -5 (b) 0.2 (c) 9\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*o = -111, 0 = -2*o - 0*o + 2. Let k = q - 14. Solve 9 = -5*v + g + 34, -g = 5*v - k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90740333735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/6*-8*(-4)\/240*(-3996)\/370.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6730263103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 44)*(2 - 2 + 4*a) - 3 - a + 3)*(-1 - 2 + 2 + (1 + 5 - 9)*(-4 + 2 + 0)).\nAnswer: 755*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1034 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/7 + 46*c**2\/7 - 28*c + 200\/7 = 0.\nAnswer: -50, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:54 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 7 - 15129*s**2 - 78*s + 15120*s**2 + 79*s - 4*s**4 to i*s**3 + x + d*s + b*s**2 + t*s**4 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102251309?\nAnswer: 102251309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -16, -2*l + b + 105 = -39. Suppose -4*c + l = -2*c. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21897358.\nAnswer: 2, 7, 1564097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -515, -492, -469?\n\"Answer: 23*k - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4787*k**2 - 1 - 9806*k**2 + 1 + 49*k + 2*k**3 + 4848*k**2.\nAnswer: 2*k**3 - 171*k**2 + 49*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453 (base 6) in base 11?\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -3*o**5\/110 + 3*o**4\/22 + 36*o**3\/11 + 96*o**2\/11 - 198*o + 2. Factor b(d).\nAnswer: -6*(d - 8)*(d + 1)*(d + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u + 16. Let z be w(-2). Which is the closest to z? (a) 6\/5 (b) 0.08 (c) -0.5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/5 - 756*b**4\/5 + 4563*b**3\/10 - 3427*b**2\/10 + 381*b\/5 = 0.\nAnswer: -381, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1205*j - 8773 + 8773)*(2*j**4 + j**2 - j**2) + 3*j**5 - 2*j**5 - 2*j**5.\nAnswer: 2409*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.679812471 to 4 decimal places.\nAnswer: 0.6798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - (48 - 0) - -2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 0*a = -3*a. Suppose 2*x - 56 = -s - 6, a = -x - 4*s + 25. What is the remainder when 44 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3\/6 + 31*a + 1. Suppose 12 - 4 = 4*s. Let t(k) = s*k - 8*k - 6*k. Give x(t(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 9*z**2 + 77*z + 13. Does 66 divide s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 2*p - 10*p + 2*p. Suppose 2*m = h + 735, -5*m + 645 = -3*h - 1191. Let k(s) = -m*s + 369*s - s**2. Determine k(q(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/187 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7017528 to the power of 1\/2, to the nearest integer?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose 0 = 3*j - v*j. Suppose -3*h = -j*h - 12. Solve 0*u - 3*u - 6 = g, h*u = -2*g - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 124*a + 124*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 8*u = 292, -295*u = 5*c - 290*u + 245 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -18. Suppose -19 = t*n - 119. Let q = 43 - n. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6919530 + 159111039\/23. Let k = p - -1659. Let g = k - -5\/69. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 60*f**2 + 128*f.\nAnswer: -2*f*(f - 2)*(f + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1120204*l. Let k(o) = -13*o. Calculate c(k(w)).\nAnswer: -14562652*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 15*w = 76. Suppose 5*t + 4 + 3 = -w*j, -12 = 4*t. Let m(d) = -d**3 + 2*d**2 + 2*d. What is m(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -148, -293, -434, -571, -704, -833?\n\"Answer: 2*n**2 - 151*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 8989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 - 3)*(-i + 5*i - 5*i).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14 + -1 + -14 + 20. Let n(p) = -p**3 - 15*p**2 - 57*p - 19. Let u be n(h). Solve -u*c + 11*c - 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 11. Let d(r) = -5*r + 23. Let w(a) = 2*d(a) + 5*j(a). Let k be w(2). Put 3, -2, -5, k in descending order.\nAnswer: 3, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188234*x + 3 - 2376674*x + 1188438*x.\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(10\/3)*w**(17\/5))\/(w*w\/(w*w\/(w\/((w**(-1\/2)\/w)\/w))))**(4\/5) assuming w is positive.\nAnswer: w**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.98 - -0.02. What is the second smallest value in r, 3, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/40 and 68\/315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0*r - r + 929 - r - 925 + r. Suppose 8 = 2*f + 4*t, 3*f + 0*t = -4*t + 12. What is z(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9288.747 millilitres in litres?\nAnswer: 9.288747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5606*m + 61370. Determine k(-11).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 3, b: 3, v: 4, g: 1, q: 3}. Give prob of picking 1 j, 1 v, and 1 g.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 3*f + 48*f**2 + 35*f**2 + 3*f**2 + 0*f.\nAnswer: 7*f**3 + 86*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*m - 9374119 = 0, -25*m = 5*p - 27*m - 15623541. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(675) + (-6*(sqrt(675) + -2 + sqrt(675) + sqrt(675)) - sqrt(675))) + 3*(2 + sqrt(675)*-1))**2.\nAnswer: -86940*sqrt(3) + 3215439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124980 is divided by 3986?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-3)\/(-4))\/(1\/24). What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3 + 3 - 2*g + 7. Let n(v) = 13. Let w(z) = -3. Let k(m) = -n(m) - 4*w(m). Let s = -3 - -4. Determine s*l(f) + 6*k(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6986735 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-21)*(-54)\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103, 104, 105, 106, 107, 108?\n\"Answer: f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*n**2 - 1656200\/3 + 3640\/3*n.\nAnswer: -2*(n - 910)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/796468575 and -48.\nAnswer: 796468575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3742)\/(-6) - (28\/6)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 218483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 3604345301?\nAnswer: 3604345303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9172241.\nAnswer: 13, 109, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1674279.\nAnswer: -3, 4, 1674279","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 16) + -2*1. Suppose -2*s - 2*i = -29 - 23, -6 = 3*i. Let g = s + w. What is the closest to -0.3 in 0, g, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 272.64, -1, 17, -4\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/6)\/(108\/(-162)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1)\/9)\/((-1128)\/846)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-305*c - 319*c + 550*c)*(-2*c + 2*c - 2*c + (2 - 3 + 12)*(0 - 1 - 1)*(c + 4 - 4)).\nAnswer: 1776*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(162) - (-4*(sqrt(162) - (sqrt(162) + sqrt(162)*1)) - sqrt(162))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/3 + 24748*j**2\/3 - 57774*j + 49524 = 0.\nAnswer: -12381, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 7 = l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 22*t + 6. Let m be g(1). What is the greatest common factor of m and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -52*h**2 + 4*h. Let a(j) = -104*j**2 + 9*j. Give -4*a(m) + 9*t(m).\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277701 - -0.718861752.\nAnswer: -277700.281138248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 18*h**2 - 28*h + 86. Let x be k(7). Calculate the greatest common factor of x and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 34)*(-1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z - 62. Let r be h(-6). Find the second derivative of 353*s**r - 3*s - 20*s - 336*s**4 wrt s.\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 less than -776888334535?\nAnswer: -776888334624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/2)\/u)\/u)\/u**(-1))**(-20)*(((u\/(u**(-1)\/u))\/u*u)**(4\/11))**(-47) assuming u is positive.\nAnswer: u**(-674\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3237043*s**5 - s**3 - 979436*s**2 + s wrt s.\nAnswer: 194222580*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135328319 - -135328343.9999954. Let o = h - 25. Round o to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9 - 9*h + 11.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*q - 2594 = 93*q - 111*q - 19003 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 125. Suppose 0 = -2*a + w - 28. Suppose 3*s - 5*r + 0*r = 65, 4*r = -5*s + 59. What is the remainder when a is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = o - 55. Let g = o + 657\/4. What is the second biggest value in -0.5, g, -0.6, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2334\/5 - 467. Let s = -24 - -39. Is s > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozveqqzv. Give prob of picking 1 v and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 4\/3, -1.1, -1\/4, 4\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/(-486) + 412888\/108.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000380942512 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 15. Suppose -y = -f + 1 - 0, -f - p = -3*y. Solve -2*d - 14 = -3*d - 2*i, -y*d - 5*i = -37 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 434 + -434.00722. What is l rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 2*z**2 - z**2. Let x(k) = -23*k**2 - 6*k. Let q = -90 - -96. Let p(o) = 47*o**2 + 13*o. Let m(u) = q*p(u) + 13*x(u). Calculate d(m(y)).\nAnswer: -578*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13865439.\nAnswer: 3, 7, 113, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 13*t**7\/210 - t**3\/2 + 8*t**2 + 23. Let a(q) be the second derivative of d(q). Differentiate a(g) with respect to g.\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 723825.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1004 divided by -251\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*c - 9, 4*g + 5*c = g - 15. Suppose g*r - 6 = -2*r. Suppose -4*h - 2*v = r*v - 121, 5*h - 3*v - 142 = 0. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.038, 0.06, 0.1?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117658, -117626, -117566, -117478, -117362?\nAnswer: -117218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/13 + 537578*y\/13 + 41352 = 0.\nAnswer: -268788, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/7588 and -85\/14.\nAnswer: 7588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76.08 and 6?\nAnswer: 456.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + 2.77. Let m = 150 - 1346\/9. Which is the closest to -1\/4? (a) m (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4392 + 5740 = 0. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2 - 64*v + 228 = 0. What is v?\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7139, -7138, -7137, -7136, -7135, -7134?\nAnswer: -7133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127964, 255995, 384076, 512207?\nAnswer: 640388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -181\/6, 0.31, -0.3, -0.06?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.82 or -0.022?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + g - 1. Let u(f) = -8*f**2 + 4*f - 4. Let l be (((-2)\/4)\/((-1)\/(-1)))\/(8\/(-16)). Give l*u(r) - 4*p(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1104 and 1176.\nAnswer: 54096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5000 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/37 - 1008\/144?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*(26\/(-39))\/(2\/1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.27 + -1.77. Let r be (6\/3)\/2 + 1. Suppose x - 3*x - 2*u = -r, 4*x = 4*u - 20. Put -0.4, f, x in increasing order.\nAnswer: x, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612340095 to the power of 1\/3, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 16 + 12. Let y(j) be the first derivative of -j**3\/3 + 7*j**2\/2 + 2*j + 559. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0142658 less than -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -937 or 122876?\nAnswer: 122876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2*h - 1. Let f(o) = -o**3 - 18*o**2 - 23*o + 45. Let m(s) = 3*b(s) - f(s). Let r be m(-20). Calculate the highest common factor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5072 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14755677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-8)\/h*h))\/h**(3\/7))\/(h**(1\/5))**(4\/9) assuming h is positive.\nAnswer: h**(2987\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0063681229 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -138. Let z = -1.5 + 1. Let n(m) = -m**3 - 3*m**2 + 2*m + 7. Let f be n(-3). Which is the nearest to f? (a) z (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -600.235 - -10952.933. Let m = h - 10306.69721. Let f = -46 + m. Round f to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 193*x - 835. Give j(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(680\/(-60)))\/((-3)\/2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o - 1. Let n(p) be the third derivative of 0*p - 6 - 1\/4*p**4 + 0*p**3 - 4*p**2. Calculate 4*d(l) - 3*n(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11343 + -14141?\nAnswer: -31034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1903 + 14622. What are the prime factors of c?\nAnswer: 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 728 and 9223032?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 9945?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 104. Suppose i*t - 50 = 5*z, -10*z = t - 15*z - 10. What is the smallest common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-4) - (-1 - -1). Let v = 25 - q. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + d - 54, -8*x + 4*x = -2*d - 228. Let c = 150308 + -150287. Calculate the least common multiple of c and x.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = o. Which is smaller: -2\/47 or o?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5)\/(0 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 481.5 + -482. What is the nearest to 0 in m, -0.3, -10\/9, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*n, 2*n - n + 1 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 2:45 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3680 - -6587. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9663, 19341, 29021, 38703, 48387, 58073, 67761?\n\"Answer: d**2 + 9675*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 14*i - 26. Let w be q(12). Is -17\/6 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3262833, 6525665, 9788497?\nAnswer: 13051329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(1088) + sqrt(1088)) - (1 + -1 + sqrt(17))*-5) + -1.\nAnswer: -1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in 3\/8, -31, -2\/13?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1374022.11 + -1374084.110061. Let m = -3.4 + 65.4. Let f = j + m. Round f to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 7 = -5*l, -11 = -3*l - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389037 by 6.\nAnswer: 129679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1254 from 13539026.32.\nAnswer: 13540280.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4682514092 and 0.0315.\nAnswer: 4682514092.0315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -632 (c) 0.2 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383649139 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10877005*a**2 + 11043693*a?\nAnswer: 21754010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 871 + 29. Suppose -3*f + 3*o + p = -39, -o = f - 30. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 8:55 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(216)\/sqrt(9)*4)\/((-4*sqrt(288))\/sqrt(4)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o*o**(-2\/19)))\/o*o**(-3\/13)*o)\/((o*o**(10\/11))\/(o**(1\/39)*o*o)))**(-2\/3) assuming o is positive.\nAnswer: o**(32750\/24453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 5. Let q be 2 - (-44)\/(-6) - (-34)\/(-51). Let j(s) = s + 6. Give q*o(n) + 5*j(n).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:44 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 48 - 46 - 25 + 208*n**3.\nAnswer: 208*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 4*j**2 - 2*j - 2. Let k be r(2). Solve k*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) -5 (b) -22 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = -2*y. Suppose 4*z - 7 = y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**2 + 37*x + 100. Let f(m) = 3*m**2 - 12*m - 33. Let k(i) = -11*f(i) - 4*w(i). Calculate the remainder when 74 is divided by k(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 3 - 3 + (2*n - 2*n - 4*n)*(-2*n**2 + 0*n**2 + 0*n**2).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x - 4. Let n = -22 - -15. Let l(h) = 9*h - 7. Let s(u) = n*r(u) + 4*l(u). Let a(b) = 18*b**2. What is s(a(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -739 - -742. What is the second derivative of -48*k**i + 74*k - 72*k**3 - 70*k**3 + 1 wrt k?\nAnswer: -1140*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 12. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -159\/4. Let k = 95\/4 - 47\/2. Factor 1 - t*r**2 + 0*r + k*r**3.\nAnswer: (r - 2)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 185 = 1361. Calculate the lowest common multiple of 33 and q.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/16 + 2\/(-4). Let h = -8 - -11. Suppose 7 - h = -4*j. Is g bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r**2 - 1)*(1 + 3 - 3) - 6 + 6 - 3*r**2 - 281 + 281 - 18*r**2.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 - 15*i**2 + 7*i - 2. Let w(t) = 7*t**3 - 29*t**2 + 13*t - 4. What is -11*c(m) + 6*w(m)?\nAnswer: -2*m**3 - 9*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g + 0*g)*(0*g - 6*g + 3*g)*(3 - 3 - g**3).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 62. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.86 - 15.2.\nAnswer: -14.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 14*j + 39. Let z(c) = -6*c**2 + 13*c - 28. Let n be z(2). Let i be h(n). Is -325 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -59*m**9\/252 + m**7\/105 + m**5\/6 + 35*m**4\/12 + 727*m**2. Find the third derivative of o(u) wrt u.\nAnswer: -14160*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67840 and 795.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38 + -0.534. Let d = v + 0.1264. Round d to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88327.76 centimeters to millimeters.\nAnswer: 883277.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202010101112 (base 3) to base 13.\nAnswer: 266279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31944, 63866, 95788, 127710, 159632, 191554?\n\"Answer: 31922*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:32 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117) + -2 + -4)) + sqrt(117))**2) + 3.\nAnswer: -939 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 146528\/29 < 5053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 21*y**5\/5 - 4*y**3\/3 + 11. Find the third derivative of f(k) wrt k.\nAnswer: 504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, 1 k, and 1 c when four letters picked without replacement from okcvnocq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p + 0*p - 13*p + 5*p - 14*p**3 wrt p.\nAnswer: -84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/8297 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 317, 710, 1259, 1964, 2825?\nAnswer: 3842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((14 - -10) + -7 + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29574 = -37*j - 30499 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 233, -1\/4, -4, -0.77, 1\/3?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 35162?\nAnswer: 35164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u**4 + 432314*u**3 - 1402060 wrt u?\nAnswer: 12*u**3 + 1296942*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**3 - 50*g**2*m*u + g**2*u - m*u - u + 8 wrt g?\nAnswer: -9*g**2 - 100*g*m*u + 2*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 5*m - 195 = -z - 2*m - 1080, 8 = -2*m for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v = -2, -413 = -5*z + 2*v. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14 - 21\/(-49) - 2400\/(-120).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 21*z + 31*q = 34*q + 45, 5*q = -3*z + 12 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527019615.\nAnswer: 5, 11, 4049, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6528 and 2150976.\nAnswer: 4301952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - -0.135. Let d = u - 0.15201. What is d rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*t, -8*h - 2*t + 70 = -4*h. Let a = 31 - h. Suppose -a - 40 = -3*j. What is the remainder when 48 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26644 - 26642. Which is the nearest to 5? (a) 4\/7 (b) -0.1 (c) -3\/4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = w. Let i be 22400\/(24\/w - 2). Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 65*u - 322. Let c be v(4). Factor 0 + 0*k + 2\/3*k**c.\nAnswer: 2*k**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 q when three letters picked without replacement from {c: 3, r: 5, q: 3, k: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2. Let q be (39\/(-26))\/((-5)\/10). Let l(d) be the first derivative of 1 + 1\/3*d**q + 0*d + 0*d**2. Give j(l(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 57304673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157531488.\nAnswer: 2, 3, 1640953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 - 6*a + 7852 - 19*a**2 - 7850 + a**3 to x*a**3 + r + j*a + k*a**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/36 and 137\/8350260.\nAnswer: 25050780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1) + 2 + 1. Find the third derivative of h*d**2 - 3*d**5 - d**2 + d**5 + 2*d**2 wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 158168.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 122?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdp when three letters picked without replacement from {d: 1, p: 4, i: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/2 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -19*r + 7. Determine q(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 9:46 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/273, -29, 0.5 in decreasing order.\nAnswer: 0.5, 2\/273, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21088728 + 21088728 + 4*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(44\/12*22\/(-44))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/309, -202, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 9*h)*(-276 + 116 + 11*h + 115)*(h - 2*h + 2*h) - 2*h**3 + 3*h**3 + 0*h**3.\nAnswer: 67*h**3 - 270*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13116*z**3 - 25816*z**3 + 12704*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 5 + 2*w**2 + 2 + 3*w. Let d be j(-6). Suppose -5*n = -8*n + d. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(-1*(sqrt(77) + sqrt(77) + sqrt(77) + -1*sqrt(77)) + sqrt(77)))\/(-6*(sqrt(175) + -2*sqrt(175))*-4).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5289, 10588, 15845, 21036, 26137?\n\"Answer: -4*o**3 + 3*o**2 + 5318*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10690 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**5 + 930*g**4 + 72999*g**3 + 143220*g**2 + 71148*g = 0.\nAnswer: -154, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -7*j + 7*j + 50 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-77 - (6 - 30)) - -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -38, 3 in descending order.\nAnswer: 3, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4358*l**2*m**2 + 474*l**2 - l*m**2 + 6314776*m wrt l.\nAnswer: -8716*m**2 + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine fifths of a hour?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3884*a*g**3 - 2*a*g + 5*a - 6006*g**3 - 10*g wrt a?\nAnswer: -3884*g**3 - 2*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*x + 7289, 3*t + 2*t = 5*x + 12115. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.72 or 0.5348?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3\/5, -0.071, -5\/4, -1\/380?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25799635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -4*r**2 - r - 21806. Let p be (1 - (5 + -2)) + 8. Let y(o) = -9*o - 1. Calculate p*f(d) - 5*y(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 828, -8, 514 in decreasing order.\nAnswer: 828, 514, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 18. What is the smallest common multiple of c(-22) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w - 7 - 2*w**2 + 3*w - w + 6 - w**3. Let b be c(-3). Put -2, 3, b in ascending order.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10*x = -28*x + 468. Calculate the greatest common factor of x and 456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241 divided by -102755.\nAnswer: -241\/102755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21191411 by 3.\nAnswer: 21191411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85618\/7 - -455059698\/37205. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-3)\/14*-7). Let q(g) = 18*g + 16. Let z be q(v). Sort z, -4, 2, 6.\nAnswer: -4, z, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**6\/2 + 3*g**5 - 9*g**4\/2 - 2*g**3 + 21*g**2\/2 - 9*g - 265. Factor b(l).\nAnswer: -3*(l - 3)*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, 76, 162, 248?\n\"Answer: 86*z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1853, -2 in decreasing order.\nAnswer: -1, -2, -1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -762*j + 110. Let w be o(-1). What is the highest common factor of 109 and w?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) -3\/8 (c) -303 (d) 1 (e) 5 (f) -57 (g) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.5 - -0.5. Let a = -11.98 + z. Which is smaller: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -4. Let m = -3 + n. Let y = m - -7.9. What is the nearest to y in 5, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 2:20 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2012 = -5*n + 668. List the prime factors of n.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -362119719 and -362119720 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1272 and 75\/15992?\nAnswer: 2542728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 15169?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 110*l + 2. Let m(q) be the first derivative of 13*q**2\/2 - 2*q - 3969. Give m(c(j)).\nAnswer: 1430*j + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2841 - -4215. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32094, -32098, -32102, -32106?\nAnswer: -32110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 24*r + 13. Let a be b(-1). Let g be (a + 280\/24)*(-1 - -7). Solve 6*c - g = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 = -2*m - 5*t, -3*t = -3*m - 30. List the prime factors of -132*(2\/(-10))\/(m\/(-20)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/15*-3*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y - 11. Let l(v) = 4*v + 72. Let z(g) = -5*f(g) + l(g). Determine z(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4356)\/264*84\/(-99) - 128.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 44?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -7648.13?\nAnswer: 22944.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 2*a)*(0*a**2 - 7*a**2 + a**2) - 41*a**2 + 41*a**2 - 81*a**3.\nAnswer: -69*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 28 - (-384)\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkvk. What is prob of sequence nvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343.5 - 346.5. Which is the second smallest value? (a) i (b) -148 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155 and 3120980.\nAnswer: 96750380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257.6192 + 258. Round l to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.25 - 0.12. Let a = -4.13 + d. Let v = -3 - -1. What is the third smallest value in a, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23219627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3553 + -3238. What is the highest common divisor of q and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4097, -8215, -12331, -16445, -20557, -24667, -28775?\n\"Answer: r**2 - 4121*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1287 - 4?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -1 + 13. Let r be ((-15)\/10)\/(3\/k). What is the units digit of r\/5 + (-74)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 2748.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/220)\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60216.\nAnswer: 2, 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71866*j**2 + 140689?\nAnswer: 143732*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 35 = -5*w, w + 7 = 2*u. Let f(c) = c**2 + 4*c + 5. Calculate f(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601\/(-16828) + (-3775)\/140?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -46*t**3 + t**2 - 1. Let a = -5 + 4. Let z be q(a). Suppose 3*f - z = -10. What is the highest common factor of f and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/8))**(-6))**(-33) assuming x is positive.\nAnswer: x**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -15\/44, 0, 2 in descending order.\nAnswer: 2, 1, 0.5, 0, -15\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.6, 2\/9, 0.2 in descending order.\nAnswer: 0.6, 2\/9, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3198637 to the power of 1\/2, to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (sqrt(1700) - (1 + sqrt(1700) + -1)) + -3 + -5*sqrt(1700)*-1*4*-3)**2.\nAnswer: 12000*sqrt(17) + 6120100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - u - 5. Let f be (3 - 2)\/u - -2. Let b = -50\/3 - -356\/21. Is b at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -17 - (8 + -17) - 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(-5*(sqrt(2)*-1 - sqrt(2))) + -1)**2 + (-5*-4*sqrt(891)*2)**2.\nAnswer: -sqrt(11)\/5 + 142560111\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.399 + 0.099. Let n be 4\/(-18) + (-21)\/27. Let r be (n\/22)\/(1\/(-4)). What is the closest to 0.1 in h, -2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 12*u - 39415 = 0. Suppose -z - 8903 = -3*a, 0 = -4*z - 5*a + u - 43478. What is z rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -31*b - 68. Let z(w) = 8*w + 17. Let n(y) = -2*k(y) - 9*z(y). What is the first derivative of n(i) wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 693, 2687, 5969, 10533, 16373, 23483, 31857?\nAnswer: 41489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5722598 in ascending order.\nAnswer: -4, -3, 5722598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 149293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 305, 469, 635?\n\"Answer: u**2 + 159*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g - 2*i - 20 = 0, 0 = 4*g + 4*i - 32. Suppose 3*y - 291 = -3*p, -2*p - 2*y = p - 290. Calculate the greatest common factor of g and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s + 4*h + 6, -4*s + 4*h = -28. Suppose 0 = 5*m - 4*z - s, 2*m - 11 = 5*z + 5. Put 1, 7, m in increasing order.\nAnswer: m, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8260322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6584524?\nAnswer: 2, 31, 53101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 = -98*s + 46*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*j = 177*j + 109*j - 32*j - 11390 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r - 7 + 6*r + 3*r. Calculate the smallest common multiple of i(11) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 15\/7, 0.4, 75.79?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 20*o**2 + 189*o - 34. Give i(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 793*c**2 - 5*c + 1. Suppose -8*q + 1 = 25. Let a be n(q). Let k = 85933\/12 - a. Calculate the common denominator of 5\/16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114645 by 2.\nAnswer: 114645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -688 + 693. Solve n = -n - x*a, 3*n + 4*a = 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25326428.48 - -2?\nAnswer: -25326426.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (687918\/63)\/(-11)*(12\/2)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620497839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**3 - 5 + s**2 + 6*s + 3*s**3 - 6*s.\nAnswer: 26*s**3 + s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 2 - (-26 + 36)) + 54 + -43.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -5, 5 in decreasing order.\nAnswer: 5, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 17 = -13. Suppose 3*m = -0*m + 12. Suppose m + o = t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((4 - 0)\/(-5392)). Is v\/40 + (-2)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -705, -2888, -6547, -11682, -18293, -26380?\nAnswer: -35943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217 + 518. Let z = 2034 - k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*14\/(-224))\/(1 + 46\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 7. Let h(p) = -5*p - 20. Let n(f) = -3*h(f) + 8*q(f). What is n(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30093443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.1, -0.05, -2\/3, 0.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(88\/(-44)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 491616539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221.23 - 222.23. Let k be (1\/9)\/((-2)\/4). What is the nearest to h in k, 0.3, -14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 39 = -8*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*o = 2*d, -d + 3*o = 5. Differentiate -15*i**3 + 13*i**3 - 5 + 2*i**3 + 12*i**d with respect to i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1496\/187)\/(4\/2*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:19 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-7) - -8)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*r - 5 + 26 = 0, 3*x = -2*r - 41. What is the units digit of 2538\/14 + x\/((-182)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*3\/(-8) - (-680)\/221?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906657533 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b (base 12) to base 3.\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Let c = -55965\/248 - -7046\/31. Are a and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -123. Let t = 116 + w. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -1\/5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -4, -637, 3, 2\/21?\nAnswer: -637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, m: 1}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132403 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42561)\/(-45)*(1 - 2). Let q = g - -985. Let f = -39 + q. Is -0.1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000078892 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, -4, -12, -12, 2, 36?\n\"Answer: w**3 - 5*w**2 - 2*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 9 = -6. Let w(m) = -2*m**3 - 3*m**2 + m + 2. Let p be w(c). Suppose -p = -7*r + 2*r - 3*l, 3*l + 30 = 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 579.\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-99))\/(496\/129456)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/19 or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 0.1, 542\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/14 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3206 = 9*i - 3215 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44908453?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3099 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 + t - 2. Let y be b(1). Let m(c) = c. Let o(r) = -13*r - 5. Let s(w) = -6*w - 2. Let n(p) = -3*o(p) + 7*s(p). Give y*m(i) + n(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00124016 rounded to 6 dps?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -8. What is the nearest to u in 1, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-22)\/2)\/(-1). Suppose -3*d = -3 + v. Let n(f) = -16*f + 5. Let y(u) = 15*u - 1. Let k(b) = n(b) + y(b). Give k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2781, 2741, 2701, 2661, 2621?\nAnswer: 2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*(-12*5\/560)\/((-36)\/(-128))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 s when three letters picked without replacement from mmsxmsmmwmrrsmrxrxrm.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/8123689 and -47\/59297?\nAnswer: 8123689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:07 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -2\/9, -2, 31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = t - 5*l, -137*t + 2*l - 671 = -212*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9719 (base 11) to base 2\nAnswer: -11001000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from tnggtnqgnct.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 + g + 1. Let s(f) = 4*f**2 - 2*f. Give 4*d(c) + 3*s(c).\nAnswer: -4*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.43 - -4.43000979. What is q rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 256045518 and -0.1.\nAnswer: 256045517.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 and 117\/430?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1345173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**3 + 16*t**3 - 13*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.245 * 0.0158.\nAnswer: 0.019671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10182.\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 + 11020?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5968*k + 2882*k + 2809*k)*(0*k**3 + 7*k**2 + k**3 + k**2).\nAnswer: -277*k**4 - 2216*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 0*c**3 + 9*c**3 - 9*c**3 - c**3 + c**3 + (c - 2*c**3 - c)*(1 - 2 - 1) - 4*c**3 + 3*c**3 - c**3 - 16 + 16 - 27*c**3.\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 2*t + n, -3*t + 0*n - 4*n - 98 = 0. Let p = t + 47. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, 1\/6, -0.0544, -2?\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(((-175473)\/2716)\/201)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {q: 15, e: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99679012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/(1\/(-3*4\/(-12))). Let s(h) = -h**3 - 3*h**2 - 6*h + 3. Let c be s(-5). Let m = y + c. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/280 and -117\/70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(66)\/sqrt(6) + -3)**2.\nAnswer: -14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 636546+485274210\nAnswer: 485910756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.57052 and 1667.\nAnswer: 1670.57052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 28650.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxxxhh. Give prob of sequence xhx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:58 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 6*w**2 - 8*w**2 + 22 + 21.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5. Let i be (1\/y - 0)*-7. Let v(o) = -o + 8. What is the units digit of v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(8\/(-4)) + 5. Suppose -4*s + 3*x + 77 = -88, 235 = l*s + 2*x. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19861, -39746, -59625, -79498, -99365?\n\"Answer: 3*z**2 - 19894*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -34*f**2 + 7*f**2 - 5*f**2. Let h(i) = 2*i. Give h(c(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130325 is divided by 140.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 - 7552856*c + 587 + 7552856*c + c**2 - 2*c**2 - c**2 - c - c**2 + c + (-3*c + 2*c + 0*c)*(-3*c + 0*c + c) to p + y*c**2 + o*c and give p.\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from swcw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 8*v**2 + v + 9. Let l be b(-8). Suppose -l - 1 = -n - 4*r, 3*r + 65 = 4*n. What is the smallest common multiple of n and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(28) - (sqrt(28) + (sqrt(28) + 0)*-2 + sqrt(28)))**2 + (sqrt(448) + sqrt(448) + -1 + sqrt(448) + 1 - sqrt(448))**2.\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/13)\/x)**(-39) assuming x is positive.\nAnswer: x**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62496023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayaaaahyhahya. What is prob of sequence aay?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5773 and 2?\nAnswer: 1.1546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5157\/10037?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2048*a + 2044*a - 23, -a + 1 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -52. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 826898747 and 9263.\nAnswer: 9263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 706 (b) -323 (c) 1\/236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -4*i**3\/3 - 4. Let d(h) = h**2. What is l(d(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432*6.1.\nAnswer: -2635.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1086\/(-204) + 3)*-1 and (-43)\/12 + (-1)\/3.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 247 = 2*g - 333, -4*g = 3*d - 584. Let h(u) = -4*u**3 - u**2 + u - 2. Let z be h(-2). Calculate the greatest common divisor of z and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255940952 is divided by 4412775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223659898?\nAnswer: 2, 7, 11, 137, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 172?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -54. Let r be (-2)\/b + (-84)\/(-63). Sort 1, 4, r, -4 in descending order.\nAnswer: 4, r, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -172. What is the highest common factor of t and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 + c. Let x(l) = 13*l**3 + 32*l**2 - 2*l. Let d(f) = x(f) + 2*z(f). Find the third derivative of d(y) wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 4, r: 2}. Give prob of sequence qq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 + 3. Let w be x(4). Suppose -3*t + 2*k = -7, -w*t + t = 4*k - 10. Differentiate 3 + 6*f - t*f - f - 2 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63877026 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 166693 = -236391. Suppose -40*y - 3482 = -z. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -1.137 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27))\/((435\/(-18))\/29)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-3) - (-2 + 2). Let t = w + 5. Which is smaller: t or -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76.588 + -76.588. Let z = -38987\/76 + 513. Is i smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35926749 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: Let m(k) = k + 7. Suppose -142 = -q - 152. What is m(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -1572.64\nAnswer: 39316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95928 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1890 + 3651. Let q be (2348\/6)\/((220\/(-30))\/22). Let r = q + y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 15. Let k = 10 - d. Let r be 6\/(-33) + 8\/22. Which is the closest to k? (a) 0.5 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 2*f**2 + 24*f - 2. Let w be h(-4). Is w < -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*n = -155, 3*n - 37 = -7*v + 5*v. Suppose 15*i = v*i - 363. Suppose 19 = 2*f - 23. Calculate the least common multiple of f and i.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = -35*s + 12*s + 185. Let u(g) be the third derivative of -1\/40*g**6 + 1\/4*g**4 + 1\/20*g**s + 0 + 0*g**3 + 0*g - 18*g**2. Solve u(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 34. Give m(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/3)\/6*1. Let v(i) be the third derivative of -i**6\/120 - i**4\/24 + 7*i**3\/6 + i**2. What is the units digit of v(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1860 and 3559092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.032 + -2.332. Round c to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7717, 7714, 7711, 7708?\n\"Answer: -3*u + 7720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(320) + 0) - (sqrt(320) + (sqrt(320) - (1 + sqrt(320)))*-3)) + 2)*-5 + 4 + 1.\nAnswer: 10 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvva when four letters picked without replacement from avvvgvgqvvgqvggq.\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 119 = -r, -y - 2983 + 3040 = -3*r - 3*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 + -209. Let l = 37.5 + b. What is the nearest to -4\/23 in -3, -0.4, 3, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1356.7 - -1357. Which is the closest to -5? (a) f (b) 4 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/9 (c) 1 (d) 4 (e) 69 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 1794, 1, -1, 4 in ascending order.\nAnswer: -1, 0, 1, 4, 16, 1794","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 + 0 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*k**3 + 39*k**3 - 319 - 55*k**3 - 222 - 3*k wrt k.\nAnswer: -3*k**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and 2912.\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10086*i. Let a(h) = -215*h. Give c(a(r)).\nAnswer: 2168490*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddddyyiydsdssiddd. Give prob of sequence iddd.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 1\/150*f**5 + 0*f**2 + 1\/900*f**6 + 0 - f + 0*f**4 - 1\/3*f**3. Let n(u) be the second derivative of t(u). Factor n(j).\nAnswer: 2*j*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Let i = y + -8. What is the third biggest value in 5\/2, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/(-1001))\/(4*(-7)\/112)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*v + 4221*v = -42062 - 72374 + 15244 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q - q)*(17 - 14 - 30)*(3 + 1 - 3)*(-q + 0 + 0) to the form l*q + b*q**2 + t and give b.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4502332, 5 in descending order.\nAnswer: 5, -1\/4, -4502332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-6 - 4 + 3)*(b - 3 + 3 + 5*b - b - 2*b + (5 - 2 - 2)*(1 - 1 + 2*b)).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178, 174, 170, 166, 162, 158?\n\"Answer: -4*t + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 3*s**2 + s**4 + (-167897 + 1512*s + 167897)*(2*s**2 - 3*s**2 - 3*s**2)*(2*s - s + 6*s).\nAnswer: -42335*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((340\/40)\/17)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 1:38 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202798.4381 + -202790. Let v = y - 7.633. Let l = v - 0.79. What is l rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a + 204. What is the remainder when 928 is divided by p(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1558 + -245. What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.27 + -0.21. Let k = z - 3. What is the second smallest value in 1\/8, k, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172 + 175. Let h = 0.5 + -0.2. Let g = -0.2 - h. What is the biggest value in r, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0441 + -3.9559. Sort j, 1, -2\/9, 8\/125, 5 in decreasing order.\nAnswer: 5, 1, 8\/125, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 4*z - 3. Give f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -68*a + 2179. Let s be i(32). Sort 5, 1, 7, s, 12 in decreasing order.\nAnswer: 12, 7, 5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*g + 3568 + 897, 2685 = -3*g + y. Are g and -896 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 11*h**3 + 8*h**3 - 22*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by -15\nAnswer: 61\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280048 divided by -320012.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**6\/18 + 4*c**5\/15 - c**4\/3 - 2*c**3\/9 + 5*c**2\/6 - 2*c\/3 - 8. Solve x(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/((-8)\/12). Let a be o\/4*(-1 + 21). Suppose a*v = 4*v. Solve 3*q - 5 - 4 = v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/5))**(-41)*a**6\/a*a\/a**(1\/7))\/((a*a\/a**(-1\/2))**(-3\/5)*a\/a**6*a**(-4)*a) assuming a is positive.\nAnswer: a**(-2943\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.1 (b) 4 (c) 1 (d) -4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100357882*y**3 - 100357880*y**3 + 200715763*y**3 - 3*y + 3*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 9 - 43 - 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104412 - 2100401?\nAnswer: -2210313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/7 - 3117*p**2\/7 - 34176*p\/7 - 31060\/7.\nAnswer: -(p + 1)*(p + 10)*(p + 3106)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 2*p - 2. Let k be h(-6). Let a = -3 - k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/8 + 31*t**4\/24 - 13*t**3\/3 - 13*t. Let d(r) be the second derivative of g(r). Differentiate d(w) wrt w.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 3*l**2 + 2*l + 3. Suppose 16 = -0*b - 4*b. Let v = b - -2. List the prime factors of d(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 33 + 18 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281935 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679 - 367 = -26*q. Sort q, -13, 8 in descending order.\nAnswer: 8, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136706, 1093836, 3691760, 8750876, 17091582, 29534276, 46899356?\n\"Answer: 136733*q**3 - q**2 + 2*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = 2*f - 7*f - 4*a, 3*a - 490 = -5*f. Suppose 9*j - 8*j = f. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1425*z - 1377987. Calculate r(967).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and -62.2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -2015\/107?\nAnswer: -2015\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:42 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1584382\/501733 - -2\/26407. Let i = r - 622\/209. What is the nearest to -0.1 in -0.3, i, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2 + -2)*-3. Solve -z - 11 = 5*q, -5*z + 2*q = -w - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:13 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60 - -69) + (-2)\/(348\/1554))\/(4\/(-8))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g**3 + 7*g**2 + g**2 - 2*g - 2 - 5*g**3 to the form j*g + w + q*g**2 + i*g**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/15*-1)\/1. Let o = 5.516 + -0.706. Let m = 0.19 + o. Sort -0.3, m, x in descending order.\nAnswer: m, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/((-491360)\/18200 - -27).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w**2 - 40*w - 1. Let g be d(0). Let h(j) = -12*j**2 - 24*j - 24. Let y(f) = f + 1. Give g*h(x) - 24*y(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3977*d - 7. What are the prime factors of o(-1)?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -9.7. Let v = 2.2 - 2. Let w = v + g. Put -3\/7, w, -0.2 in descending order.\nAnswer: w, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 2 + 21*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:51 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(891)*-1 + sqrt(891) - sqrt(891))*6 - (6*(sqrt(891) - sqrt(891)*-2) - sqrt(891)))**2.\nAnswer: 1414017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-15 - -9)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 141.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*m - 80*m + 43*m + 8*m as s + z*m and give z.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36044 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 7*x**2 - 12*x + 6. Let t(f) = -f**3 + 7*f**2 - 11*f + 5. Let y(c) = -6*t(c) + 5*z(c). Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-28)\/(-24)*319\/(-15631))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 112. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 3*v**2 + 6*v - 9. What is l(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 56, 101, 166, 257, 380, 541, 746?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c**4 + 4220*c**3 - 617148*c**2 + 15560512*c - 7626496 = 0 for c.\nAnswer: 1\/2, 31, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3 + 22932*d**2 - 16045047*d - 48341448 = 0.\nAnswer: -8289, -3, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -334880 less than -51?\nAnswer: 334829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1787432484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*6\/(-45))\/(7\/6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514310919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71\/34 + 10\/17. Let w = 7739 + -8143.97. Let s = w + 405. Put -1\/5, a, s in increasing order.\nAnswer: a, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15084 and 1363007.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -59*q**7\/14 + 67*q**4\/4 - 195*q. Find the third derivative of w(z) wrt z.\nAnswer: -10620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 49. Let r be (-42)\/j*(-20)\/6. Solve b = f + 7, -4*f + 10 = f + r*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 2.130216441\nAnswer: 1.930216441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8757 (base 14) to base 2.\nAnswer: 101101101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 7:32 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8315, -68515, -231907, -550085, -1074643, -1857175, -2949275?\n\"Answer: -8599*o**3 - 2*o**2 - o + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111734495.\nAnswer: 5, 59, 378761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 60. Let s = -18 - m. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(22)*1)\/(sqrt(33)\/(sqrt(3)*-2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d + 1. Let l(b) = -301*b. Determine 3*c(r) + l(r).\nAnswer: -316*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*k**2 - 321*k**2 + 33 - 13 + 2903*k**2.\nAnswer: 2409*k**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 24\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and 16.31.\nAnswer: 16.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 3*g - g + 2*g. Let l(b) = 2*b**2 + 5*b**2 - 6*b**2. What is l(z(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -0.4, -7, 3\/28, -3\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**3 + 34*h**2 + 9*h + 30. Determine c(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -600*j + 3588. Does 36 divide n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397349557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 + 3*m**3)*((-2*m + 2*m + 2*m)*(21 - 5 + 0) + 0 - m + 0 - m - m + 4*m - m + 2*m - 3*m + (-2*m + 3*m + m)*(3 - 3 + 2)).\nAnswer: 105*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 0.26. Let g = k - -0.7. Let t = -6 + g. What is the nearest to 2\/3 in 5, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(207\/6)\/(-3). Let v be (6\/8)\/((-63)\/(-756)). Solve -c*u + 26*u = -v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5\/241 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 381 + u**3 - 99 - 93 - 95.\nAnswer: u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w. Give u(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1827561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b - 10. Let f(t) = -t**2 + t - 10. Let c(z) = -f(z) - u(z). Determine c(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/1977300 and -85\/114.\nAnswer: 37568700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 52 = 4*j - 4*o, -5*j - 67 = -3*o. Let w = j - -12. Calculate the greatest common divisor of 4 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 + -155. Suppose 2*x - 4*i + 7 - 9 = 0, 0 = -5*x + i + a. Calculate the remainder when 69 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -7*o + 60. Solve 2*t = o*m - 8, -t - 3 = -5*m + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86.5 in 0.2, -7\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-22)\/t**(-1) assuming t is positive.\nAnswer: t**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*875*(-4)\/4. Let a = -4338\/5 + s. What is the common denominator of a and (-2)\/(-12)*(-250)\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 3165*u**4 + 366066*u**3 + 769992*u**2 - 2978880*u = 0. Calculate u.\nAnswer: -1160, -4, 0, 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 132. Let l(w) = -w - 46. Calculate -7*l(h) - 2*p(h).\nAnswer: h + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -493.4 in 3, -4\/3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2541 at most as big as -17784\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1. Let x(d) = 2*d - 10. Let n be ((66\/(-18))\/11)\/((-2)\/(-6)). Calculate n*x(h) + 4*y(h).\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 20. Let t = -0.07 + -0.43. What is the nearest to -2\/9 in -3\/7, d, t?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 3*p - 3*p + (-4 - 1 + 3)*(-3*p + 2*p**2 + 3*p) + p**2 - 2*p**2 + 3*p**2 - 4*p**2 + p**2 - p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 346, 698, 1052, 1408?\n\"Answer: j**2 + 349*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30230 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3645772 divided by -3645772.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -51288335 divided by 1735?\nAnswer: -29561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3 + (0 + 2 - 4)*(-1 - 1 + 0))*(-3*h + 2*h - 4*h).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -9)*12\/10. Let n(r) = r + 6. Let s be n(t). Suppose s = -0*g - g + 2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2aac - -1?\nAnswer: -2aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t**2 + 16*t + 16. Let u(c) = -c**2 - c - 1. Suppose 152*g = -61 + 213. What is g*i(h) + 16*u(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-48 - -62)) + 2 + -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 4 + -1 + (-534)\/108. Let z(h) be the first derivative of 1\/3*h + 1\/12*h**2 - m*h**3 + 1. Factor z(w).\nAnswer: -(w - 2)*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201217, 201270, 201339, 201430, 201549, 201702, 201895?\nAnswer: 202134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/8 + 2*l + 57\/8 = 0.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 34, 32, 18, -14, -70, -156?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = -3*m + a, 4*a = 3*m - 46. Let q be 45\/m*(-8)\/(-5). Solve q*c + 2*r = -r + 4, -24 = 2*c - 5*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l**2 - 3. Let t be (0 + -1 - 3)*(-91)\/13. Let v(p) = 73*p - 26*p - t*p - 21*p. What is u(v(k))?\nAnswer: -36*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -11*(-5 + 10224\/(-176))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 - 290*b + 17*b**3 + 287*b.\nAnswer: 29*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2. Let t(b) = -5*b**2 + 3*b + 3. Let o(r) = -4*r**2 + 2*r + 2. Let a(p) = -3*o(p) + 2*t(p). What is u(a(z))?\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(252)*2)\/sqrt(4).\nAnswer: 3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 0) + (8 - 2). Is (9\/27)\/(g\/11082) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 19*p**3\/3 - 5*p**2\/2 - 4*p + 522. Let x(c) = -19*c + 3. Determine 3*w(h) + 5*x(h).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/60 - 7*n**4\/12 - n**3\/6 - 261*n**2. What is y(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j*j\/((j\/(j\/j**(-8)))\/j)*j*j))\/j)\/j)\/j*(j*(j\/(j*(j*j*(j*j**(-3\/7))\/j)\/j))\/j*j*j)\/j)\/(j**(-21)\/(j*j**(-31))) assuming j is positive.\nAnswer: j**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 - 72*y + 282. Give h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286*k**5 + 2*k**4 - 2*k**3 + 8081536*k**2 - 2*k.\nAnswer: 17160*k**2 + 48*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 15. Let m be v(-14). Suppose 20*g + m = 19*g. Let t be 30\/12*g\/(-5). Which is the closest to t? (a) -0.4 (b) -5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -951*b**8\/56 + 743*b**4\/12 - 346*b. What is the third derivative of h(q) wrt q?\nAnswer: -114120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {q: 6, d: 4, m: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.59 + -0.11. Let v = -0.3 - i. Suppose 2 = 39*y - 43*y + 5*x, 4*y = 2*x + 4. Sort 1, v, y in ascending order.\nAnswer: v, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 60 = 139 - 184 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2468224*f**2*y + 35*f**2 - 34097484*y + 2 wrt f.\nAnswer: 4936448*f*y + 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) + (-68)\/3. Let o be (-20)\/110 + (-4)\/p. Solve -3*f - 2*j + 6*j + 10 = o, -6 = -5*f - 4*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, -10, -9, 2.\nAnswer: -10, -9, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6195, -12341, -18487, -24633, -30779, -36925?\n\"Answer: -6146*s - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 3*q**2 - 5*q**2 + (-3*q + 0 + 0)*(-q + 4*q - 2*q))*(-2*q**2 + 0*q**2 + 4*q**2 - 2*q).\nAnswer: -10*q**4 + 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.3301 and -241.\nAnswer: -237.6699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/216972 and -19\/1844262.\nAnswer: 3688524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.001902715637 from -2.\nAnswer: -1.998097284363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 71*i**2 + 130*i + 540. What is f(69)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + d - 1. Suppose -3 = 5*r + 7. What is the units digit of n(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34970755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 9*u + 8*u + 7*u)*(4 - 3*u - 2 + 0*u) in the form y + i*u**2 + k*u and give i.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*w - 8*w + 77, 135 = 5*w + 5*p. Let s(v) = 20*v - 3. Let n be s(6). What is the highest common divisor of w and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + k**2 + 3*k + 4. Suppose 2 = -5*i + 12. Suppose -i*v + 2*s + 22 = v, 0 = -s - 5. Is c(v) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 20*k + 26. Suppose 9*v - 8*v + 21 = 0. Let y be f(v). Which is the second smallest value? (a) 1\/7 (b) -0.9 (c) y (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 9*v**2 - 4*v - 5860*v**3 - 12*v**2 + 5900*v**3 to x*v + b*v**3 + s*v**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6*o - 2*o - 1513, -5*a + 2507 = 3*o. Let p = a + -444. What is the least common multiple of 121 and p?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, -2\/9, -0.04, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 69048.08 to the nearest one hundred.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neennnnxxnxen. Give prob of sequence xe.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.99 minus 229700?\nAnswer: -229676.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 + 0 = 0. Let b be -7 - (-4 + j)\/1. What are the prime factors of 15\/(-20) + (-59)\/b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2215\/28 - -657\/7. Let a be 1 + 1515039\/66 - -4. Let l = a - 22956. What is the common denominator of h and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3, -q + 4*y = -14 - 9. Suppose 3*t - t + 4 = 0. Let x(o) = o**2 - 15*o - 11. Let d(w) = 0 + 2 - 3 - 3*w - 1. Determine q*d(p) + t*x(p).\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16b - 4e2?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -222, 80\/9 in increasing order.\nAnswer: -222, 0, 80\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/(x\/x**(-1\/11))*(x**5\/x)\/x**5)**(-46) assuming x is positive.\nAnswer: x**(1311\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-10 - -5) + 3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39401 and 90446.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p - 32 = 0. Let h = 7 - p. Is 327 + 4\/(-4) - h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -138 + 135 - (11 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -377*g - 2. Let w(m) = -1134*m - 5. Give -8*r(a) + 3*w(a).\nAnswer: -386*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 6*k - 3*k + 26, 10*k + 3*q + 3 = -47 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23*26\/(-4)*-6. Suppose 0 = p + 4*c + 12, 2*c + 8 = -2*c. Let b be s\/27 - p\/(-18). What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2047 + 1024 + 1085)*(0*l + 5*l - 4*l).\nAnswer: 2*l**2 + 62*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 147795137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15 - 0 - (-8 + 12). Suppose -70 = -5*q + k - 3, -k = -q + b. Calculate the lowest common multiple of 4 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-7)\/(-2)) + 30\/3. Suppose -2*l - 5*o + 21 = -3*l, -3*l - j = 2*o. Let a(f) = f**2 + 3*f - 4. Give a(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - f**2 - 5*f**2 + 0*f**2 + 4*f**2 + (4 + f - 4)*(5*f - 3*f - 3*f) + 4*f - 4*f + 2*f**2 - 2.\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (16 + -9 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 12. Let s(i) = i - 25. Determine 4*s(q) - 7*w(q).\nAnswer: -3*q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 1961440286?\nAnswer: 1961440286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(-39)\/208?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j + 5. Let d be b(-5). Let g be (-8)\/d + (-13633)\/10. Let s = -1401 - g. Calculate the common denominator of s and 151\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 1. Let j(t) be the first derivative of 5*t**2\/2 - 2*t + 31. Calculate -2*f(r) - j(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -292 - -6?\nAnswer: -28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 169960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let b(m) = -653*m. Give f(b(k)).\nAnswer: 1306*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228 smaller than 4228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 3 - 2*v**2 - v**2 + 4*v**2. Let n be d(-4). Suppose 3*f + f - 3*c = 27, -13 = 4*f + n*c. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1287, -1283, -1279, -1275?\n\"Answer: 4*t - 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)\/y*y)\/(y*y*y**(1\/4)\/y))\/(y\/(y*y**10\/y)*y*y**5) assuming y is positive.\nAnswer: y**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 197 + 88897003.6\nAnswer: 88897200.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*y**2 + 7*y**2 - 18*y**2)*(418*y**2 + 196*y**2 + 140*y**2) to the form h + v*y + w*y**2 + c*y**3 + n*y**4 and give n.\nAnswer: -2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 4*v**3\/21 + 27*v**2\/2 + 185*v\/7 + 69. Suppose s(j) = 0. What is j?\nAnswer: -185\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 1)\/(-2) + -1. Let z(h) = 8*h**2 - 7*h**2 + h - 2*h**2. Calculate z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2)\/(g\/g**(-2\/11)*g))\/(g**(-3)*g**(2\/11)*g) assuming g is positive.\nAnswer: g**(29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:12 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21102*u**2 + 21102*u**2 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9376*3\nAnswer: -28128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 107, 110, 113?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -2*n - 3*s, -4*n + 44 = -4*s. Suppose 8*k - n = 4*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121668271 or 121668269?\nAnswer: 121668269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 3.4, -2\/7, 3\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*g + 12, 4*m = 4*g + 2*m - 26. Let o = 10 - g. Factor 0*n**2 + 3 - n**o + n + 0*n + n.\nAnswer: -(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 123.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 - 0 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/260182?\nAnswer: -3\/260182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + (-532)\/(-608) + 34\/16?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68497\/12 - 5720. What is the common denominator of -23\/42 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 31 = 4*x - 96, -t + 5*x = -13. Calculate the remainder when 29 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 774379716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 159918263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2. Let u(w) = -3735*w - 11. Calculate u(d(z)).\nAnswer: 3735*z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5009, -6 in increasing order.\nAnswer: -5009, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:16 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 239. Let v(k) = -3*k. What is c(v(n))?\nAnswer: 9*n**2 + 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 62, 77, 82, 77, 62?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*o - 40*o**4 + 185*o**3 - 185*o**3 wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose 3*g - v*g + 3*h = 323, 0 = -2*g - 3*h + 631. List the prime factors of g.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) -18 (c) -1\/477 (d) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00702153 to 5 decimal places.\nAnswer: 0.00702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 5*q**2 + 5*q + 1. Suppose 7*d - 2*d = -70. Let p = d + 10. Determine c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 15 - 6 - 14)*(-199 - 122 + 85)*(2*l - 1 + 1) to u*l + a*l**3 + p + d*l**2 and give a.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5500067 - -0.55. Round r to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3101*d + 3*d**2 - 15 - 3101*d)*(4 + 4*d - 4) to i*d**3 + r + t*d**2 + h*d and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**2*o - 66*k**2 + 748*k*o wrt k.\nAnswer: -10*o - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**3 - 3*r**2 + 6*r - 4. Give i(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07044 plus -208389605?\nAnswer: -208389604.92956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**2 + 28*x**2 - 2*x**2.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, 0.4, 2\/19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**8\/1344 + m**7\/30 - 19*m**6\/120 + 11*m**5\/120 + 77*m**4\/96 - 25*m**3\/12 - 51*m**2 - 2. Let q(n) = 0. Calculate n.\nAnswer: -1, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-33)\/c)\/c)**(-49) assuming c is positive.\nAnswer: c**1666","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 3 (b) -1\/535 (c) 2\/15 (d) -1\/10 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from ewubwewebe.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 304152000 a multiple of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2674)\/(-133) - ((-18)\/57)\/(-3) and 2320?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 46 + 78 - 3*j**2 + 2*j**2 in the form v*j**2 + u*j + o and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**3 + 45*v + 0*v**2 + 218\/5*v**5 + 0*v**4 + 234. Find the third derivative of k(n) wrt n.\nAnswer: 5232*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 30 = 2*j + j, 2*y - 18 = -3*j. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**2 + 13710*l + 2846208 = 0.\nAnswer: -4352, -218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 - -203 - (-5 + (2 - (1 + 0))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + -9)\/((-1)\/14). What is d rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 9*v + 2. Give k(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -158800 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)\/(-3*12\/90)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*s**3 + 204*s - 3 - 406*s + 198*s + 5*s**2 - 2*s**4 in the form d*s + u*s**4 + h*s**3 + t + y*s**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/4 - (7 + 6\/(-2)). Solve 5*h + d*s = -5*s, 4*h - 3*s = 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/93088 and 21\/255992?\nAnswer: 1023968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**3 + 0*l**2 - 1\/60*l**6 + 0*l**4 - 2*l + 0 - 3\/40*l**5. Factor c(y).\nAnswer: -y**3*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 113925.\nAnswer: 2\/5425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from gltlctt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 4. Let h be b(-6). Suppose 2*f = 3*o - h, -2*o - 5*f + 0 = 2. Differentiate 6*a**o - 3 + 3 - 3*a**4 + 3 wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 7*g - 16. Suppose q + 2*q + g*b + 10 = 0, -3*b = 5*q + 2. What is the lowest common multiple of ((-21)\/6)\/((-1)\/q) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/5)*b)\/b*b**(2\/7))\/(((b*b**(-1\/4)*b)\/b)\/b)**(-19) assuming b is positive.\nAnswer: b**(-597\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11741 + -9.11741. Which is the nearest to z? (a) -1\/7 (b) -2\/193 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = -2. Let p(t) = t + 5. Let a be p(-6). Is a at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*o - 42*o. Let a be ((-2)\/(-2) + o)\/((-44)\/924). What is the common denominator of (-1784)\/224 + 6\/a and 71\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780 + 5*w**2 - 780.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -0.1. Suppose 2317*k - 2313*k + 32 = 2*q, -4*k - 6*q + 80 = 0. Let m = 0 + 0.5. What is the nearest to k in o, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 39622979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/(-27) + 4\/18. Let p = 1 - 0.9. Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1*sqrt(2736) - (sqrt(19) - (sqrt(19) + sqrt(95)\/sqrt(5) + -2 + sqrt(19))))**2 - ((sqrt(19) - (-3 + sqrt(57)\/sqrt(3))) + 6*sqrt(19)*-3).\nAnswer: 10*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13653 * 0.06828\nAnswer: 932.22684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 462.\nAnswer: -25\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 0, 9, 22?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llv. Give prob of picking 1 v and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-22)\/(-88))\/((-3)\/((-3)\/(-5))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11474987 divided by 5?\nAnswer: 11474987\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149656 - 98625. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + 2*t)*(0*t + 64*t - 47*t + 115*t + 82*t).\nAnswer: 428*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t = -15. Suppose -t*s = f - 18, -4*f + 5*s = -2 + 5. Suppose -2*n - f*n = -25500. What is n rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a29b (base 14) to base 4\nAnswer: -12311001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 2*y**2 - 4*y + 1. Let a be q(-4). Let i = 206 - a. Round i to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0 + 0*c**3 + 0*c**5 + 14*c + 1\/2*c**6 + 0*c**2 + 13\/12*c**4. Find the third derivative of r(t) wrt t.\nAnswer: 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-151)\/(-5) - -2) + (-26238)\/21865.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 18318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 0.13. Is m < -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + 1057a33?\nAnswer: 1057a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51199, -102397, -153595, -204793, -255991?\n\"Answer: -51198*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6*8208\/(-59280)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020211.\nAnswer: 23, 44357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by (-806)\/(-39)*(-6)\/(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:47 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18404 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375034096*m**2*p**3 + 660*m**2*p**2 - 2*m**2*p + 11*m*p + 8*p**2 + 20*p wrt p?\nAnswer: 2250204576*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -0.9. Let k = -1.3 - x. Let r be (2\/4)\/(3\/(-6)). What is the closest to -2 in k, 0.3, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:48 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-6))\/(-15)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6546*c**3*d**3*x**2 - 14*c**2*d**2*x**2 - 7*c**2*d*x**2 - c*d**3*x - x**2 wrt c.\nAnswer: -39276*d**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.8 - 10. Sort 2\/45, z, -2 in descending order.\nAnswer: 2\/45, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.59137 - 13.\nAnswer: -6.40863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93, -198, -305, -414, -525, -638?\n\"Answer: -y**2 - 102*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v + 14*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - -2 - -2) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 2\/5 (c) -0.1 (d) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6033749778067 - 6033749778067 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104 and 2928.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 36 - ((-3 - 6) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x**2 - 3*x**2 + 4*x**2 - 3*x**2)*(-43*x + 78 - 78) in the form j*x + l*x**2 + i + n*x**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*z + 5*y, 10 = -5*z - 3*y - y. What is the second derivative of 7*s**2 + 35*s**3 - s - 7*s**z wrt s?\nAnswer: 210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 25 = 5*x, -5*x + 8*b - 25 = 10*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000352590955 to 6 dps.\nAnswer: 0.000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvqgpggp. Give prob of sequence qp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*v - 60, -16 = -k - 3*k. What is the lowest common multiple of 6 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4\/15 (c) -897 (d) -3\/2 (e) 0.02 (f) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376941 is divided by 1165?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.3 from -688681.\nAnswer: -688677.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70686*n - 35278 wrt n.\nAnswer: -70686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15922, -15918, -15914, -15910, -15906, -15902?\n\"Answer: 4*w - 15926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 17*j**2 - 5*j - 5. Is y(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5566 and 5567 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/6 (b) -2 (c) 1.6 (d) 0.03 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 11537?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7.24. Let f = -0.14 + l. Sort f, -4\/9, 1\/6 in decreasing order.\nAnswer: 1\/6, f, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9324739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08125, 633\/2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n - 5*u - 4, -3*n + 4*u = -28. Suppose -20 = -n*j, -4*k + 3 = -5*k + 2*j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0580272 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235 and 9212.\nAnswer: 46060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 6) to base 16.\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 344.55 or -0.11?\nAnswer: 344.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-2) + 19 + 1 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6237, 6238, 6241, 6246, 6253, 6262, 6273?\nAnswer: 6286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28176 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(308))\/sqrt(7) + 3)**2.\nAnswer: -24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441034*x = 440971*x + 1260 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 22. Let v = -13 + t. Let l = 0.23 + -3.23. Which is the third biggest value? (a) 0.2 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20653, 3, -12, 0, -5 in decreasing order.\nAnswer: 20653, 3, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 704*o**3 - 112*o**2 - 112*o + 112. Let n(k) = 19*k**3 - 3*k**2 - 3*k + 3. Suppose 5*d = 5*l + 550, 0 = -2*d + 4*d + 4. Give l*n(b) + 3*g(b).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -8\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-1)\/sqrt(10))\/(-4*(sqrt(200) - sqrt(8))) - (-2*sqrt(147) + -4 - -1*sqrt(147)*-2)**2.\nAnswer: -2368 - 3583*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 7350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -5, -0.2, 2153?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83041043?\nAnswer: 137, 311, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 50 + 109 = 0. Let o = t - -91. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 5*r**2 - 3*r. Suppose 8957 = -20*x + 577. Let m = -379 - x. What is the least common multiple of m and z(-4)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -562?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9944 and 65745999?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31589675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/(-9))\/(-4)*(-216)\/(-576))\/(1\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1709, 1646, 1541, 1394?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(1377)*-1 + sqrt(1377)) - ((sqrt(1377) + sqrt(1377) + -1*(-1 + sqrt(1377)))**2 - sqrt(1377))).\nAnswer: -1382 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 0.062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(6\/2)*(-1)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, 0.1, 3\/5, 0.3, 96?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/2 + t**3 + t**2\/2 + 4*t - 12. Let h(l) = 3*l**3 - 5*l**2 - 2*l - 7. What is 4*h(q) + 7*j(q)?\nAnswer: -2*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:34 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -3*u. Let i be (-26*(0 + 1))\/u. Round i to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.2 + -7. Sort 2\/11, 0.1, -2\/23, j.\nAnswer: -2\/23, 0.1, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 1. Let h be z(-2). Suppose -2*r + 3*m = -h*r + 1, 4*r = -m + 48. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/14 - ((-40)\/(-35) + -1). Is t bigger than -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/(-6)*2)\/1. Let a(k) = 13*k**3 + 33*k**2 - 23*k + 33. Let m(w) = -3*w**3 - 8*w**2 + 6*w - 8. Let u(f) = z*m(f) - 2*a(f). Is 13 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1983398024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 15*v**4 + 40*v**3 - 60*v**2 - 80*v = 0 for v.\nAnswer: -2, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.284 + 137.716. Let z = y - 133. What is the third biggest value in -2\/19, z, 3\/2, -0.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.3 (b) -2 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/3, 2\/33, 0.3 in descending order.\nAnswer: 0.3, 2\/33, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 9*j**2 + 13*j - 1. Calculate n(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 1. Let y(s) = 12*s**2 - 13. Calculate -22*l(v) + 2*y(v).\nAnswer: 2*v**2 - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-2 + -2 - sqrt(24)\/(sqrt(12) + -3*sqrt(12)).\nAnswer: -3*sqrt(2)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433a4e (base 16) to base 8.\nAnswer: 20635116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 9. Let h be ((-6)\/12)\/((-1)\/42*-3). What is x(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -0.3 (c) -15.62 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iixdyggiydgbddi?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d. Let t(s) = -s**2 - 14*s - 16. Suppose -q - 10 - 2 = 0. Let u be t(q). Let w(y) = -2*y + u*y - 9*y. Give n(w(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h**2 + 41*h + 5. Let y(f) = -6*f**2 - 42*f - 4. Determine 4*m(l) + 5*y(l).\nAnswer: -2*l**2 - 46*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -118, -139, -162, -181, -190, -183, -154?\n\"Answer: r**3 - 7*r**2 - 7*r - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 17*r - 12*r, 5*x - 41161 = -4*r. List the prime factors of x.\nAnswer: 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((28\/10*48\/168)\/((-46)\/(-5)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 6*b. Let x be r(4). Suppose 20 = -3*d + x*d. Is (-2)\/d*(-6 + -100) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 4) to base 6.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + -11.94. Let h = 9 + d. Is h at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/344 and 364\/(-24)*5\/(-215).\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/20 - m**4\/8 - m**2. Determine w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - 6*s + 6. Let q(z) = 6*z**2 + 7*z - 7. Suppose 0*h + 3*h - n = 10, -25 = -4*h - n. Calculate h*o(i) + 4*q(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 14) in base 9?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 401234 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 3*s + 3*s + (1 + 2*s - 1)*(4 - 3 + 1) + 0*s - 5*s + s in the form m*s + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/((-15)\/(-238))*103\/(-2). Let l = g - -21118. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.60821 - -119.38873. Let q = 140 - r. Round q to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42624 minus 0.044?\nAnswer: 42623.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2 - 0) + 0. Is y not equal to 1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, 178, -0.02, 22.21 in increasing order.\nAnswer: -0.4, -0.02, 0, 22.21, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 283, 290, 299, 310?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156880461.23056 less than 2?\nAnswer: -1156880459.23056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + -115 - (-41 + 28 + 26) - 4.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2459, 9771, 21957, 39017, 60951, 87759, 119441?\n\"Answer: 2437*a**2 + a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*-2 + (1 - 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1435 (base 11) to base 14\nAnswer: -965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -7*a**5\/4 + 5*a**4\/2 - 5*a**3 + 15*a**2 - 15*a. Let m(z) = z**3 - z**2 + z - 1. Determine -30*m(n) - u(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 - 110233*c**2\/3 + 12151314289*c\/6.\nAnswer: c*(c - 110233)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -143.1, -0.1, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 29*g**2 - 17*g - 34. Is f(31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g - 15*s + 110, 5*g = 3*s - 2659 + 2619 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-18)*280\/63.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2 + 3*u - 3. Let c = 10 - 11. Let v = 1 - c. Give r(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 4*b. Let t be k(-5). Suppose -t*d = -0*d. Suppose 5*p - 19 = -4*c + c, -5*c - 10 = d. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 10*l + 20 = 0. Suppose d - f = 119, 6*d - 4*d = -l*f + 208. What is the remainder when 24 is divided by 1\/(d\/(-39) + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803818, 803819, 803820, 803821, 803822?\nAnswer: 803823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 1, y: 1, c: 1, i: 1}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3*n - 16, 4375*q - 4371*q = 4*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2 - 286305*k - 10314878 with respect to k.\nAnswer: -2*k - 286305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:53 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -98*y**2 - 526*y - 341. Determine k(-5).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19549?\nAnswer: 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-504)\/18 - -4*4\/8. Which is the fifth biggest value? (a) -1\/4 (b) k (c) 5 (d) -1 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 + 8*v**3 + 13*v**3 - 39*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/61 in 7, -5\/2, 119, 3\/17, 0.5?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211121120101 - 120020?\nAnswer: 211121000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}