diff --git "a/data/dm_maths/full_data/10368_11255.jsonl" "b/data/dm_maths/full_data/10368_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10368_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -2*x = 2*i - 10, 3*x - 8*x + i = -31. Let m be ((0 + 1)\/x)\/((-13)\/(-39)). Let v = -32 + 63\/2. Which is the closest to v? (a) -1\/4 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-8)\/((-40)\/15). Let s be 4\/o*(3 + -3). Solve -14 + 4 = z + 3*k, s = 3*z - k - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*p - 96. Let t = -14 - -13.6. What is the nearest to 0.2 in -0.2, p, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8734705 and -188990.3.\nAnswer: -8923695.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 2*a**5 - 8 - 46*a**5 + 152*a**2 - 152*a**2 + 2*a**5 + 2*a**5 - 3*a**5 + (-a**2 - 2*a**2 + 2*a**2)*(-2*a**3 + 3*a**2 - 3*a**2).\nAnswer: -45*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 35 + 0 = -25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/25297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 22, -5, 3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 0*i**2 + 3*i**2)*((-5*i**2 + 10*i - 10*i)*(2 + 1 - 2) - 24 + 24 - 14*i**2).\nAnswer: -95*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -368 - -112. Let z = q - -2814\/11. Which is the nearest to 1? (a) -3 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -53 - 1602. Let q = 580 - z. List the prime factors of q.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0366 - -0.5366. Let s = 4 - 6. Let b(z) = z**3 - 3*z**2 + z + 1. Let m be b(3). What is the closest to s in 0, m, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {y: 6, i: 6, v: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -513774521 - 0.04\nAnswer: -513774521.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Let n(f) = -2*f. Suppose -4*s + 10 = -3*u - 13, 3*u - s = -8. Let r(g) = -3*g - 7. Let j be r(u). Calculate j*q(a) + n(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 14. Suppose -3*v + 5*g = -18, v = -v + 3*g + 11. Suppose -s = -u - v. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (1 - (-2 + 0)). Suppose -2*n = 4*c - 10, -2 - 3 = -c. Let l = 10 + n. Sort -1, a, l.\nAnswer: a, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 548. Is 6 a factor of (m\/10 + -4)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2927 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2295)\/(-252) - (-4 + 291\/24)*102\/663?\nAnswer: 55\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5962 + -5964. Let k = 1 + 0. What is the smallest value in k, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36d + -10a78?\nAnswer: -10de6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1085 + 1017 = 2*n, 2*n + 8*l = 3*l - 364 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 696087 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*(-16)\/(-24). Let n = -5 + 7. Suppose 0 = 2*o + 2*a - 14 + 2, 0 = -n*o + 2*a. Solve f - o = -r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8*h - 12 = 0. Suppose -h*r + 232 = 168. What is the smallest common multiple of 4 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-10 - -15)) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-188)\/(-1) + 2 + -4. Let q = -62 + d. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 - -404. Suppose 142*c + 106*c = 1240. Suppose 1013 = c*n + 2*a, -2*a - 2*a - x = -n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -25*o**5\/3 - 6348080*o**4\/3 + 5924917*o**3 - 17520866*o**2\/3 + 7109924*o\/3 - 338568 = 0.\nAnswer: -253926, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - j, a + j - 3 + 1 = 0. Suppose 4 = -a*r, 0*r - 893 = -m - 2*r. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 27180297.\nAnswer: 108721188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 0*c + 9*c**2 - 95*c**2.\nAnswer: -86*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 513, 823, 1193, 1641, 2185?\nAnswer: 2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d - 24. Let y(h) = -h - 1. Let l be y(d). Suppose 0 = -3*s + r + 170, l*s + 4*r - 3*r - 278 = 0. Calculate the highest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*p**3 - 40*p**3 - 183*p**3.\nAnswer: -808*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40991 + 39995. Which is smaller: v or 0.09?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1050 by -10.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*k - 46*k - 94*k - 182 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 240350, 240352, 240356, 240362, 240370?\n\"Answer: j**2 - j + 240350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -74.00000028. Round b to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/287)\/((-2)\/(-4)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(48)\/(sqrt(42)\/sqrt(7))) + sqrt(3) + -2 + sqrt(3) + 1 + -5.\nAnswer: -6 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10525, 20779, 31027, 41263, 51481?\n\"Answer: -k**3 + 3*k**2 + 10252*k + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 30. Let u be o(9). Let b(l) be the second derivative of -3\/4*l**3 + 1\/8*l**4 + 0 + u*l + 3\/2*l**2. Determine r so that b(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*k - 120940 = -815*k - 163164 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 727 - 732. Sort b, 5, 1, -4 in decreasing order.\nAnswer: 5, 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 10:11 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 389 (b) -4\/9 (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 3.4. Let m = t - -3.2. Let u = -0.1999984 + m. What is u rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2. Let o(v) = v**2 - 3*v. Let f be o(4). Let r(x) be the first derivative of -2*x**2 - x**2 + f*x**2 + 3. Calculate r(d(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ethtceii. Give prob of picking 1 c and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1706.3 + -1593. Let l = 107 - h. Let x = l - -4.3. What is the closest to 0.5 in -1, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.342 - 3686.1702?\nAnswer: -3814.5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/71 and 19\/256?\nAnswer: 18176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23087052 and 1188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/66)\/(1280\/(-1344) - (-6)\/21).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 394*o**2 + 2348*o - 94 - 2335*o + 89 wrt o?\nAnswer: 788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (-30 - -30) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 6, 16, 30, 48, 70?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98027 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 915400.8mg in tonnes?\nAnswer: 0.0009154008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 24. Let f = -284 - 268. Let t = f - -530. Let p(l) = 2. What is t*p(m) + 2*a(m)?\nAnswer: -2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + -2 + -1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 1\/((-6)\/(-140)) - -4*(-4)\/48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -33. Let j be (1 + 1 - r) + 1. Suppose 4*m - 29 = j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-3)\/9 + 1*4. Let d = -960 - -6726\/7. Find m such that 0 + 0*m + 3*m**r + d*m**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3434 - 2450. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.918164 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332067, 332069, 332071, 332073, 332075, 332077?\nAnswer: 332079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212021330 (base 4) to base 8.\nAnswer: 461174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24233750 minus 6?\nAnswer: 24233744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrrsnrnnzsnrsaaqs. What is prob of sequence sqz?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -3*t**2 + 0*t**4 + 0 + 1\/2*t**3 + 0*t**5 + 0*t + 1\/70*t**7 + 0*t**6. What is the derivative of h(f) wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95312 + 95314. Factor -3\/4*w**q + 3*w - 9\/4.\nAnswer: -3*(w - 3)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4004 or -3999?\nAnswer: -4004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2\/11*d**5 + 0*d - 2\/11*d**2 - 9\/22*d**4 - 5 - 1\/33*d**6 - 14\/33*d**3. Factor u(j).\nAnswer: -2*j*(j + 1)**3*(j + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -718\/7 - -15831\/154. Calculate the common denominator of (1\/((-36)\/123))\/(9\/27) and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -6012.33\nAnswer: -1803.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3410 - -3799. Sort -1, l, 3 in decreasing order.\nAnswer: l, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -16. Calculate the common denominator of 95\/18 and (0 - 2) + y\/(-120)*-2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 0*l - 2*l**2 + 0*l**2 + 21*l as a + z*l**2 + p*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1142, -2276, -3412, -4550, -5690, -6832?\n\"Answer: -m**2 - 1131*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 - 1. What is u(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599945 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1\/6))\/y*y*y**2\/y)\/(y**(1\/3)\/y**33) assuming y is positive.\nAnswer: y**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/16 - (-4)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66819741 and 87261?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2102221?\nAnswer: 2110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 1. Let z(n) = -3*n**2 + 23*n + 27. Let i(k) = 6*t(k) - z(k). What is the hundreds digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 r when four letters picked without replacement from qcbcbrurrcgu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2\/7 (c) -45 (d) -32 (e) -0.4 (f) 2\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10006.6 to the nearest 100.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 544, 653, 826, 1057, 1340?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z + 2*z. Suppose z*o = o + 4. Let d(t) = -t + 1. Let c be d(-3). Sort c, -1, o in increasing order.\nAnswer: -1, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 64 = -3*t, -4*t - 146 = -5*o - 46. Let h be 4\/t - (-3 + (-14)\/(-5)). Suppose h = 5*v - 277 + 37. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121.09 + 1.91. Let p = g - 127. Which is the smallest value? (a) p (b) -4\/3 (c) 3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 791297.2 litres to millilitres.\nAnswer: 791297200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342515805 to the power of 1\/3, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 403896983 and -21.5.\nAnswer: 403896961.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 2*a - 53, 0 = -38*g + 23*g - 4*a + 295 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a micrometer in nanometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akraeekkoa. Give prob of picking 2 k and 1 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + u - 1600, -47*u - 1600 = -5*f - 46*u. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 565006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42294 - -42293.8. Which is the third biggest value? (a) 0.5 (b) r (c) -296\/3 (d) -0.5 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/90 + 7*r**4\/6 - 49*r**3 + 1029*r**2 + 94*r. Determine z so that q(z) = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10263942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16929 is divided by 890?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19834679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559823.6 litres in millilitres?\nAnswer: 559823600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 9*n**2 + 6*n + 15. Let k(h) = -h**3 + 5*h**2. Let y be k(5). Suppose y = -2*q - 22 - 0. Is w(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 11*x - 195. Give k(-32).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b*f**4 - b*f**2 + b - 810*f**3 + 808*f wrt f.\nAnswer: 72*b*f**2 - 2*b - 4860*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 152 (c) 67.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 30. Let j = 1.04 + -0.04. Which is the smallest value? (a) 0.3 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1227*j**2 + 217*j?\nAnswer: -2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 35. Suppose 3*q + n - 5 = 12, -3*n + 27 = i*q. Find the common denominator of -9\/16 and (-4)\/q - (-126)\/216.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*j + 488*j - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19432383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 15. Let v = u - 3. Suppose -2*i - 5*o = -i + v, -i = -5*o - 24. Solve -p - 6 = p + 2*g, p - 2*g = -i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.5 - -157.5. Let u = 186 - k. Which is the smallest value? (a) 1 (b) u (c) -3 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:08 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 + 659 - 659 + 54*j**3.\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1044, 3541, 7490, 12891?\nAnswer: 19744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18474947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(364\/(-468))\/((-7)\/30).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137360730 rounded to the nearest ten thousand?\nAnswer: -137360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4) + (-143)\/286?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.31 and -0.2?\nAnswer: -0.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/((-110)\/14))\/((-1)\/5). Solve -2*d = -y*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:55 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpk when three letters picked without replacement from jjpkowwokkqppp?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148 minus -21?\nAnswer: 21.0148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 172023, 344048, 516073, 688098, 860123, 1032148?\n\"Answer: 172025*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 0 - (-14 + -1). Let i be 0\/2 - 18\/q. Which is smaller: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1092 + 0.0532. Let m = 0.056 + a. What is the closest to m in -0.1, -0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 21*w - 1715\/4.\nAnswer: -(w - 49)*(w - 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 2611. Let t(a) = -10. Determine -m(o) - 14*t(o).\nAnswer: o - 2471","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 215139.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + 2*x - 4*x - 2*x - 4*x - 6*x + (112 - 20 + 12)*(-x + 0*x - x) - 6*x + x + 3*x - 2*x + 0 + 0.\nAnswer: -223*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202 (base 3) in base 13?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439162934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -168631 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 877, 5, 0.3, 3\/4, -0.36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/2 of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76510952?\nAnswer: 2, 7, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/63 + 6\/(-9). Let r = 6 + -4. Let j = 1814 + -1814.2. Which is the closest to j? (a) v (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -4 (c) -0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 4203*x + 8403\/2.\nAnswer: 3*(x + 1)*(x + 2801)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 + 104. Let x = l + 142. Which is greater: 54\/13 or x?\nAnswer: 54\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -701*a + 16693 - 2673 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-13) + (-615)\/195. Sort -6, v, -4 in increasing order.\nAnswer: -6, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 152, 247, 308, 341, 352, 347, 332, 313?\n\"Answer: k**3 - 23*k**2 + 157*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00163092389 to five dps.\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*x - 53*x + 99*x + 2 + 2*x**3 + 5*x**4 as d*x**2 + k*x + w*x**4 + y*x**3 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 6*l**3 + 0*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - -169. Suppose o*c - 6 = 15. Solve -c = -4*a + a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1696*i - 1691*i - 75 = 0, 0 = -5*q - 3*i + 45 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2 - p - 2. Let z be j(-6). Suppose -2*r - z*q = -22 + 2, 4*r + 5*q = 28. Which is the third biggest value? (a) r (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 - 10 = 0. Suppose t*g + 8 = 33. Suppose g*d = 25 + 25. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 9 - 124 + 8*q + 44*q. What is the tens digit of b(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 + 159. Let c be -1*1\/(1\/(-2)). Suppose 0 = -c*h + 42 + y. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 113\/(-28) + (-64)\/(-224). What is the nearest to l in -1\/3, -2\/7, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)\/(27 - 30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -738157\/6 or -123026?\nAnswer: -123026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52463782*v**2 + 29*v + 49034 wrt v?\nAnswer: -104927564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24968048 from 11802685.\nAnswer: -13165363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + (-4 + 2*sqrt(75) - ((sqrt(75) - (2 + sqrt(75))) + 1)) + 2)**2*3.\nAnswer: -60*sqrt(3) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139.4 + 0.6. Let v = 139 - j. Is v at least 46\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274039367 and 4156?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 126 + (117 - 234)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 17, 14.9?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -d, -3*d - 2 + 12 = 5*s. Let n(m) = -2*m**2 - 5*m - 2. Let v be n(-3). Put -1, s, v in ascending order.\nAnswer: v, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = 4*d, -3*d - 16 = -10. Calculate the remainder when x is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 11, -181, -87, -3 in descending order.\nAnswer: 22, 11, -3, -87, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {d: 5, k: 2, e: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -4*s - 24, s - 5 = -2*l. Suppose 4*d = 4*y - 20, -3*d = 3*y + 6 - 3. Let f(h) = 2 - 2*h - 3*h**y + h**3 - 3*h**2 + 8*h - 4. Give f(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -9600\/7*t + 0 + 33120\/7*t**2 + 2982*t**3 + 981\/7*t**4 + 12\/7*t**5 = 0.\nAnswer: -40, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, 5, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -15 (b) 1\/6 (c) -2\/839\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1969776.\nAnswer: 2, 3, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-2 - -1) - -9. Suppose 0 = -a + 20 - 15. Suppose a*f - q = f. Sort -2, f, 0.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14)\/(w\/(w*w*w**(1\/2)))*(w\/((w*w**(-4))\/w))**26 assuming w is positive.\nAnswer: w**(235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 777\/(-27) - (-6)\/(-27). What is the tens digit of (-1151)\/(-5) + (-20)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -4. Suppose -i*l = -7*l + 20. Suppose -2*o + 1 + 17 = 0. Solve 0 = -4*w - l*u - o, 17 = -2*u + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-8 - 6 - (-34 + 5)) - -25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16147131 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -219? (a) 2\/19 (b) 13 (c) 0.4 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/70 - 606\/(-40) - 4 and 417\/(-8)*6\/(-27).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -35*u**2 - 37*u - 13. Let f(j) = -18*j**2 - 19*j - 6. Let t(r) = 13*f(r) - 6*w(r). What is the second derivative of t(d) wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12400 + -12391. Solve -4*q = -5*z + 16, -v = 5*z - 2*q - 27 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p**3 - p**2 - 7*p + 1. Let h(d) = 5*d**3 + 2*d. Let i(n) = -17*h(n) - 6*v(n). Suppose 84*s - 3*j - 10 = 80*s, -2*s - 3*j + 32 = 0. Give i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 4*m**4 + 6*m**4)*(5*m + 6*m + 37*m + 0*m - 2*m + m + (-1 - 1 + 0)*(2*m + m - 5*m) + 0*m + 2*m - 3*m).\nAnswer: 100*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 3\/(((-30)\/376)\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110110101 (base 2) to base 3.\nAnswer: 121202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*p + 7*p = -67, g = 3*p + 75. Let t = 188 - g. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 88, -k = -0*k - v - 21 - 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**9)\/b**(5\/3))\/(b*b*b**(-6\/5)*b*b**(2\/3)) assuming b is positive.\nAnswer: b**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 - s**4 + 0*s**2 + s**2)*(-69 + 25 + 150) - 85*s**4 + 79*s**4 + 7*s - 35*s to the form q + u*s**4 + f*s + h*s**2 + v*s**3 and give h.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43843 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 58, 24, -24, -86?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 242*l + 3910. Give p(60).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:15 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1777*q - 28 = -1773*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y - 222 = 0. Let s = 78 - y. Find k such that -758 - 3*k - s*k**3 + 774 + 31*k + 8*k**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 27 = -5*q - 11, 5*q + 32 = 544*o - 558*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 506?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62222.\nAnswer: 2, 53, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*h - 85, -g - 2*h = h - 5. Let v = 29 - g. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -30. What is the highest common factor of 56 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -66*k + 32. Determine s so that 12\/11 + 6\/11*s**4 - 42\/11*s**2 - k*s - 2\/11*s**3 = 0.\nAnswer: -2, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p - p)*(0 + 0 - 1)*(-4*p + 20*p + 4*p).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.77 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*x + 1170 = -78*x - 88*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 14, 9, 0, -13, -30, -51?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1058 - 1042. Solve -28*y = -q + 44 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67056 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19673 and 0.06.\nAnswer: -1180.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 866, 1939, 3440, 5369?\nAnswer: 7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 58*i + 100. What is the thousands digit of g(41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340383\/5 + -340374\/5. Factor -1\/5*y - i*y**2 + 1\/5 - 4\/5*y**4 - 11\/5*y**3.\nAnswer: -(y + 1)**3*(4*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(20)\/sqrt(10) + 5))**2 + sqrt(4)\/(-2*sqrt(2) - sqrt(2)).\nAnswer: -sqrt(2)\/3 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -455783.\nAnswer: -43\/455783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*i + 4719985 = -5823471. List the prime factors of i.\nAnswer: 2, 7, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214\/567 - -100\/81. Sort k, 53, -0.2, -4 in ascending order.\nAnswer: -4, -0.2, k, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 339\/12 - 12\/48. Is (-527)\/(-7) + (-8)\/o - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 27. What is the common denominator of 38\/9 and -1 + -12*i\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -14.2357?\nAnswer: -13.7357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h, g - 5*g - 3*h + 17 = 0. Let z = g - 6. Let x be 1 + (1 - 1) + z. Solve x*d - 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - 11.82. Let t = -8 - u. Which is the second biggest value? (a) t (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 - 18285*n**2 + 473517*n + 119522 = 0. What is n?\nAnswer: -4597, -1\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 50*v**2 + 2665*v + 2610.\nAnswer: -5*(v - 29)*(v + 1)*(v + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-123)\/45 + 3 + 14\/(-21). Sort 0.07, -0.1, t in decreasing order.\nAnswer: 0.07, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/8, -3, -0.3, 0.5 in descending order.\nAnswer: 21\/8, 0.5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1318 + -1112. Calculate the remainder when d is divided by 67.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 155, 0.431.\nAnswer: -1, 0.431, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 12 + w - 13 to the form z*w + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (2 + (-2)\/2*2). Let u(c) = c**2 + c**3 - p*c**2 - c**2 + 11*c**2 + 2. Determine u(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/3 + 7630*w**4\/3 - 30530*w**3\/3 + 45800*w**2\/3 - 30535*w\/3 + 7634\/3 = 0. Calculate w.\nAnswer: -7634, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h + 81. Let g(n) = -15*n - 232. Give -6*g(v) - 17*w(v).\nAnswer: -12*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:20 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 23\/5, 2\/3.\nAnswer: 0.3, 2\/3, 23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**2 + 329*z - 10*z**2 - 312*z + 23*z**2 + 25*z**3.\nAnswer: 25*z**3 + 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -227. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9348583 to the nearest 10000.\nAnswer: 9350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12307341 (base 8) to base 3.\nAnswer: 12010101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**41*(m*(m\/m**(-1\/4))\/m*m*m)\/(m*m*m**(1\/2)) assuming m is positive.\nAnswer: m**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2103, -4256, -6471, -8742, -11063, -13428, -15831, -18266?\nAnswer: -20727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weqqjrqqnqqwqq. What is prob of picking 1 n and 1 q?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 0 (c) 0.1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*z + 157*z - 3070*z)*(2 + 0 - 1) - 5*z + 4*z + 0*z in the form y*z + b and give y.\nAnswer: -2948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/13629624 and 87\/9086416?\nAnswer: 27259248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.17 - -23. Let w = m + -0.03. Which is the nearest to 8? (a) 2 (b) w (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*j - 31, q - j - 5 = 4. Let i = q - 5. Suppose -152 - 4 = -52*p. Solve -4*m - 19 + p = i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {n: 1, q: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4 + 12*p**3 - 9*p**2 - 30*p + 24 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 13*g**2 + 50*g - 10. What is z(-16)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2816.327 millennia?\nAnswer: 28163.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -116. Suppose g*z - 160 = 2*b, -2*z + 4*b = -0*z - 154. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 14865066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73844119.\nAnswer: 37, 1995787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1512 (base 10) to base 6.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -684 - b?\nAnswer: -68f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.73 * 48.703.\nAnswer: 181.66219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (-8 - (15 + -8))) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*p - 4*a, -a = 3*p - 2*p - 3. Which is smaller: 3\/68 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 30 = 7*m. Let z = 5 - -22. Let q = m + z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 478752 = -14*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -273*m - 134. Let p(f) = -280*f - 133. Let b(r) = -4*p(r) + 3*s(r). Find the first derivative of b(t) wrt t.\nAnswer: 301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**3 + 8*q**2 - 9*q**5 - q**5 - 6*q + 13*q**5 wrt q?\nAnswer: 180*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51981 is divided by 51910?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 + j**2 - j**2)*(-8*j + 3 - 6*j - 2) to the form p + n*j**2 + w*j**3 + a*j and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 256\/120 - (-26786)\/30. Let t = 17187 + d. What is t rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12\/p)\/p**(-20))**(-44) assuming p is positive.\nAnswer: p**(-1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136648176 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26890, -27311, -28012, -28993, -30254, -31795?\nAnswer: -33616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(2\/(-6)). Let h be 1*(g - 2) - -1. Suppose 0*q = q - 2. Solve -b + q - 4 = h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 9 + (-10 + 13 + -2 - 8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 5305. Let c(s) = -48*s. Calculate c(t(w)).\nAnswer: 48*w + 254640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 5. Let q be y(6). Let n = -599 - -585. Let t be (-15)\/6*n\/35. Which is the closest to q? (a) t (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 140. Let d be -2*(-3)\/(3\/v). Suppose -3*h - h + d = 0. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -194, 1062, 3592, 7402, 12498, 18886?\n\"Answer: q**3 + 631*q**2 - 644*q - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39975832 to the power of 1\/2, to the nearest integer?\nAnswer: 6323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16488, -16305, -16122, -15939, -15756, -15573?\nAnswer: -15390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:01 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.7 + -95. Let q = p - 4.681. Round q to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y - 71 + 91. Suppose 8 = -2*x + 4, p - 3*x = 18. Let u(l) = -l - 2. Let h be u(-2). Solve h = y*n + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -q - 62, 0*q + q - 253 = 4*c. What are the prime factors of (-1548)\/c - 3\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -38. Let d = -19.0068 + j. Round d to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/6*(-7)\/(-147)*-9\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c**(1\/3)*c)*c)**(-42)*(c*c\/c**(1\/3)*c)**47)**(20\/3))**29 assuming c is positive.\nAnswer: c**(96280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 97 = -0*u + 4*u, 5*u + 4*m = 128. Suppose 5*o - 4*o = 5*i - 238, i - 2*o - 44 = 0. What is the lowest common multiple of i and u?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 869? (a) 2 (b) 126 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -8*(-2)\/(-4). Let r = -2 - -2. Sort q, r, -2\/9 in decreasing order.\nAnswer: r, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -4*x + 1, -5*b + 42 = 17 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -981\/64 - -244351\/192. Let c = -14827\/12 + o. Find the common denominator of -27\/22 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/12 + r**3\/6 + 3*r**2. Let w be k(-1). Let j be -1 + 7 + (-4)\/2. Put -3, w, j in descending order.\nAnswer: j, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-9)*3*(-4)\/(-24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 w, and 1 n when three letters picked without replacement from {n: 5, y: 5, a: 1, w: 1, q: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 90 - 13*n + 3*n - 108. What is the remainder when 40 is divided by x(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -150. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233321 - -133120?\nAnswer: 1033101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001001 - -1010?\nAnswer: 1001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90190 is divided by 1878.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2952, -2953, -2962, -2985, -3028?\nAnswer: -3097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -50.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/112*24*(-7)\/(-2)*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 55*d - 747*d - 3 + 661*d.\nAnswer: -31*d - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2882050.9 rounded to the nearest one thousand?\nAnswer: -2882000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(2*q - 5*q + 4*q) + 0*q - 2*q + 3*q + 0*q + q - 3*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758885 minus -0.0204551?\nAnswer: -1758884.9795449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2848701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 10*y = -f - 8, 18 = -5*f - 2*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57593350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:32 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/96480 and 41\/13668?\nAnswer: 1640160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -312.1 + 5.1. Let h = -306.9702 - p. Round h to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 23*d + 20. What is p(24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246494?\nAnswer: 2, 37, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 192, -31, -350?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 375114270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2. Let j(z) = 634*z**2. Calculate j(b(h)).\nAnswer: 10144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*y + 2 - 11*y - 6*y)*(-2*y + 2*y - y) to m*y**2 + g + d*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*f + 10 = 0, -z - 4181*f + 4180*f - 9 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(-1 + 1 - 2*v**4) + 3*v - 2*v**4 - 3*v - 4*v**4 + 2*v**4 - 4*v**4.\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300990 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -25*m**5\/2 + 95*m**4\/2 + 1561*m**3\/2 - 1403*m**2\/2 - 9522*m = 0.\nAnswer: -23\/5, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*k + 132*k - 704620. What are the prime factors of k?\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 27*i**3 - 2*i**2 - 1. Let n be z(2). What is the highest common divisor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 12 - (-1 - -2). Suppose -5*a - j = -218 - 117, 5*j - 157 = -p*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - b + 86 + 12, 4*a - b = 94. Solve -11*k = -5*k + a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8568 + 14601. List the prime factors of x.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i - 116. Determine a(-30).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwkjwkwwwkwkk. Give prob of picking 2 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(108)\/sqrt(3)))\/(6*(sqrt(24)*-2 - sqrt(24))\/sqrt(6)).\nAnswer: -sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95358673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 17*u**4\/12 - 6*u**3 - u**2. Let k be o(6). Suppose 5*b + 3*b = k. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 823 and 1013113.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 5:03 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/30)\/((-40)\/12))\/((-60568)\/(-565) + -106).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -9*y + 4*y. Let l = -5 - y. Suppose -36 + l = -3*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25308717\/24461)\/69 - (64\/(-8) - -23)?\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(605) + -4)**2)*-5.\nAnswer: -3175 + 550*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -116. What is the hundreds digit of (-4)\/6*(-2043)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.2, 2, -6.7, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x - 25. Let b be u(7). Solve -5*q + b*m + 5 = 0, 3*q + q + 5*m - 41 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6 + 11\/(-2). Let z(l) = 5*l**4 - 4*l**3 + 7*l**2 + 4. Let y(t) = -11*t**4 + 8*t**3 - 15*t**2 - 9. Let u(q) = p*y(q) - 9*z(q). Factor u(r).\nAnswer: -r**2*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*w**2 - 596 + 2*w**2 + w - 498 - 336 + 184*w.\nAnswer: -5*(w - 26)*(w - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756 and 252.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-8))\/((-10845)\/20244))\/((-12)\/15)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.267314 kilometers?\nAnswer: 5267314000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236a7 (base 11) to base 13\nAnswer: 126b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 532561*c*p**3*y + 4*c*p**3 - 2*c*p**2 - 20885*c*p - 3*p*y with respect to y.\nAnswer: 532561*c*p**3 - 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0)**10\/(d**(-5)*d\/d**(-2\/3)*d)*((d\/(d*(d**(-2\/15)*d)\/d))\/d**(-2\/5))\/(d**6\/(d\/((d\/(d**2*d))\/d))) assuming d is positive.\nAnswer: d**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56546750 and 5850.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 9:10 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16))\/((-57)\/(-114)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 15001777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/4)\/o*o*o)\/(o\/(o\/(o\/(o\/o**(1\/9))))*o*o))**(-1\/3)*o**3\/o*o**6*(o**(1\/3))**(3\/10) assuming o is positive.\nAnswer: o**(4439\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 7:03 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900 = 398*f - 353*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 518*q + 523*q = -11761, -3*n = -2*q - 11746. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6*s - 4 = 4*s, -15 = 5*s. Let a = 2 - 0. Find the third derivative of q**5 + 0*q**5 - 2*q**5 - q**i - q**a wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**2 - 613*c + 3087. Determine o(-92).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6500\/49 + 624654\/4655. Is 1 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 116*s - 563. What is b(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -353\/100 - -107\/25. Suppose 3\/4*a**2 - 1\/4*a**3 - t*a + 1\/4 = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1274)*6)\/((sqrt(588) + sqrt(12))\/sqrt(6)).\nAnswer: 21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 0. Let a be h\/6*(-12)\/8. Let b be 256\/14 + a\/14. Solve i - 3 = -3*o, 5*i = 3*o - 3 - b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365339473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v. Let j(r) = -216*r + 216*r + 6*r**2. Give j(i(z)).\nAnswer: 486*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(243)\/sqrt(9) + (-1*sqrt(24))\/sqrt(8) + 3.\nAnswer: 2*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1) + (-31980)\/1352*(-10)\/237. Which is the third biggest value? (a) 9 (b) 1 (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 292338295 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {q: 6, p: 1, o: 1, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -279*q**3 - 7*q - 19.\nAnswer: -1674*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhpppllhllhpphp. What is prob of sequence lhp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6 - (26\/2 - 4228\/280)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007043 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 9*s - 24497. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:45 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*u + 3472 = -0*u + 210*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375845?\nAnswer: 5, 75169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70315902?\nAnswer: 2, 3, 41, 95279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-32)*-44 - (-1 - 6\/(-4)). Put r, -4, -3, -15, 0 in increasing order.\nAnswer: -15, -4, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.16 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:30 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*g + 4, -5*g + 6 = -2*v - 2*g. Suppose v = 11*r - r - 980. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142889405 divided by 107.\nAnswer: -1335415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 2*q - 5*q + 27*q**2.\nAnswer: 27*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 232, -0.0484 in decreasing order.\nAnswer: 232, -0.0484, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, y: 2, m: 7}. What is prob of picking 1 m, 2 y, and 1 b?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*y + 30 = 0, -4*a - 4470*y + 4474*y = 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-502)\/(-8) - 9\/(-36) - 2. Suppose 0*u = 2*u - 16. Let y = u + c. Calculate the remainder when y is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 2, s: 1, y: 2, w: 1, q: 1}. What is prob of sequence lyy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6 = 3*g, 5*g = -k - 190. Let v be (k\/(-11) + 1)*-29. Let d = v + 503. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/2 - -1)\/(19\/38). Calculate the greatest common factor of s and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*m**3 + 2*c + 1694*m**3 - 1225 wrt m?\nAnswer: -3*c*m**2 + 5082*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317 - 180. Suppose 4*t + p = -0*p + y, 0 = -2*t + 5*p + 63. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14\/(-35)*(1 + -21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673*u - 474*u + 404*u - 190*u.\nAnswer: -933*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190478 or -190525?\nAnswer: -190525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.94. Let z = 0.011 - 0.049. Let f = z + -1.962. Is f > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 37953 = -5*p, -133 = -p - 135. What are the prime factors of y?\nAnswer: 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3877 is divided by 958.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -24*d. Solve 0 = -g - d - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1\/107, 6, -74, -7?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13) + (6*sqrt(325))**2 + 4.\nAnswer: sqrt(13) + 11702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.017 - 0.117. What is the nearest to l in -0.1, 0.3, 4, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 12:57 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*k + 5*u - 16, 26 = 4*k - 3*u. Let r(b) = 3*b - 6. Give r(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.0915 + -21.5995. What is i rounded to one dp?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 12*a - 2*a - 4)*(a - a + 3*a) + (0*a + 0*a - 2*a)*(-2*a + 2*a + a) to y*a + s + u*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35361, 35362, 35363?\n\"Answer: w + 35360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*z - 138*z - 750 = 0. Let v(y) = -y**3 + 0*y - 7 - 4*y + 3*y**2 - 6*y**2 - 4*y**2. Calculate the remainder when z is divided by v(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -21.\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + 27*m + 3. Suppose -4*l - 36 = -5*y, -y = -5*l - 5*y - 86. Is n(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5381, -21243, -47667, -84641, -132153?\nAnswer: -190191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/181032 and -29\/912.\nAnswer: 362064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 441343 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -610782 in decreasing order.\nAnswer: 1, -4, -610782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 5*z + 141. Let a = -78 - z. Solve 29 = -5*d - a*v, -d + 0 - 6 = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4 - 3*t + t**3 + 6*t - 4*t**2 + 5 - 2. Let m be p(3). Let r(n) = n**2. Let h(a) = -a**2 + 1. What is m*h(i) + r(i)?\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -31. Differentiate 10*k**2 - g + 4 - 26*k**2 with respect to k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1296) + sqrt(1296)*-2)*-2)\/(sqrt(15)\/(sqrt(25)\/sqrt(5))*3).\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3, -2*s + 3 = -5*k - 14. Let t = 4\/11 - 54\/209. What is the nearest to k in -1\/2, -2\/5, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -45 - 39 - -21 - -100.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*g + 4*g - 2.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 5. Let u be l(3). Let w = u - -5. Let m = w - -7. Calculate the least common multiple of m and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -408 - -148. Let l = -1752 - 1988. Let p = f + l. Round p to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 217, 5.\nAnswer: 3, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 2*g = 36. What is the third derivative of -i + 9*i**2 + i + 27*i**3 - 47*i**g wrt i?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8862739 and 1996.\nAnswer: 35450956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -13*i - 30*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -11. Let k = 10909 + -218249\/20. Calculate the common denominator of g\/(-18) - (-217)\/(-18) and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.2 - 7. What is the nearest to a in 5, -2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*a**3 + 21*a**3 + 6*a**3 + 9*a**2 to p*a + o*a**3 + g + x*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u = 55*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60664050 - 202?\nAnswer: -60664252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*p + 3 - 239, 4*x + 4*p - 312 = 0. Calculate the remainder when 160 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9648.833934 to the nearest ten.\nAnswer: 9650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 11. Let r be p(-8). Let x = 10 - 13. What is the units digit of (r\/x)\/1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 16 - 1. Let g be 6\/(-10) + (-3)\/c. Let p(v) = -v**2 - 6*v - 6. Let d be p(-5). Are d and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + l - 2*l = 0, 29*l - 26*l + 80 = -7*w + 12*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dydddydyyyddydyyyddd. Give prob of picking 1 y and 1 d.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:59 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142957561, 142957562, 142957563, 142957564, 142957565?\nAnswer: 142957566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2 - 6*b - 1. Let k(v) = -v**2 + 9*v + 5. Let r be k(10). Is p(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g. Let t(d) be the third derivative of d**4\/24 - 17*d**2 + 2*d. Calculate u(t(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176 + 55*c - 1168 + 2344.\nAnswer: 55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12651 is divided by 1776?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -20*a - 173. Calculate j(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 3*x = 24*q - 1, -x + 5 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 9. Let a(l) = -l + 4. Calculate -9*a(j) - 4*b(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f**2 + 9*f - 3. Let p be c(-1). Solve -1 + 3 = u, -3*j = p*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - (3*sqrt(495)*-2 - sqrt(495)) - sqrt(495) - sqrt(495))\/(sqrt(144)*-4))\/(sqrt(125) + sqrt(125)*-2 + sqrt(5) + 3*sqrt(720) + sqrt(720)).\nAnswer: -3*sqrt(11)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 3*h + 4. Suppose -523 = -5*x + 102. Suppose -11*n - x = 14*n. Determine q(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*c + 21077 + 15443, 3*z - 18250 = -2*c. Is c a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1.0126 (c) 1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1 - 0) + 3. Let m(o) = o**3 - o**2 - 3*o + 5. Let h be m(g). Suppose 4*c - h*f - 204 = 0, 4*f - 25 = 2*c - 137. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1642 divided by 2\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 5:10 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j + 265. Let p be k(-32). Suppose -4*h + 36 = 4*y, p - 17 = 2*y + 4*h. Solve -6*q - y = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1226043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 7*d - 2. Let f(p) = p**3 - 2*p**2 - 2*p + 1. Let l = -12 + 14. Let b be f(l). What is the smallest common multiple of 20 and v(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 2*s**2 + 2*s + 1. Let z be p(-3). Suppose -77 - 19 = -z*r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 342 - 54. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250186176 divided by -134944.\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 93. Suppose -n - b + 57 = -151, 5*n = b + 1016. Let o be (n\/(-30))\/((-4)\/10). What is the highest common factor of f and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/17)\/z)\/(z**(-3\/10)\/z))**22 assuming z is positive.\nAnswer: z**(231\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*t**3 - 117*t**3 - 155*t**3 + 848*t**3 - 145*t**3 - 152*t**3 - 147*t**3.\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764*h + 1858*h = -920 - 490 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 3*f**2 + f + 2. Let z be t(3). What is the third derivative of 2*s**5 - 6*s**z + 8*s**5 - 7*s**2 wrt s?\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20ca2 + 13ac?\nAnswer: 22381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, 8, -5, -4 in increasing order.\nAnswer: -5, -4, 8, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n + o + 3, 0 = -5*o - 15. Let h be ((-2)\/7 - n) + (-115)\/(-35). Factor 1\/3*s + s**h + 0 - s**2 - 1\/3*s**4.\nAnswer: -s*(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -332*k**3 - 498*k**2 - 498*k - 498. Let a(h) = -h**3 - h**2 - h - 1. Calculate -2490*a(j) + 5*t(j).\nAnswer: 830*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -17. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -6 - (-197 - -193))*(-4763 - -2). Is 4763 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:46 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6 and -93\/1480.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*y = 32, 24 = -3*t - 45*y + 41*y for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -p + 2*p. Suppose 3*b + 5*g + 22 = -3, 0 = 5*b - 2*g - 10. Suppose -i = -b - 4. Calculate the smallest common multiple of p and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-39)*26 + (-4)\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p + 20. Suppose r + 2*r = 30. Suppose w = -r + 4. Let u(v) = -2*v - 7. What is w*m(s) - 17*u(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6785 - 3?\nAnswer: -6788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 + -3134?\nAnswer: -2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 565\/(-226)*(448\/60)\/16.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:41 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 44*d - 54*d. Let l be (5 - (-172)\/d)*(-3)\/2. Solve l*u - 4 = 13*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrgrrrrrrrrrrrr. What is prob of picking 2 r?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -28. Let c be (g\/(-4) + 2)\/1 - 0. What is the common denominator of 103\/6 and 18\/(-8) - c - 1196\/(-240)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x - 1. Let w(c) = -1982*c**2 + 4*c - 3 + 1983*c**2 - c - c + 1. What is 6*n(q) - 3*w(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 14. Let q(m) = 3*m**2 - 6*m + 3. Let s be q(l). Suppose -36 = 2*n - s. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = -4*b. Suppose 3*p = -36 + 81. Let q be 22\/(-35) + 3\/p. What is the second smallest value in q, b, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Let w(d) be the third derivative of 0*d**3 + 0*d**4 + 0 + 0*d - 1\/20*d**5 + 95*d**2. Give z(w(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 19*j + 72. Is w(35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, l: 1, g: 4, x: 2, z: 2}. Give prob of picking 1 z, 1 l, and 1 g.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 411499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -24*u - 1. Let m be (-2*1)\/(14\/(-21)). Suppose -z = 2*s - 18, -s + 7*z - 5*z = -4. Suppose s*g + m + 5 = 0. Give y(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*v*y**2 - 2*v*y - 6*v + 4 wrt y.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 4*r**5 + r**5 + (-r + 2*r**3 + r)*(10*r**2 - 3*r**2 - 14*r**2).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 32*k**2 + 45*k + 403. Let l be g(-33). Sort -11, l, 3 in increasing order.\nAnswer: -11, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7084.628 nanometers in meters?\nAnswer: 0.000007084628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**2 - 2*t**2 - 4*t**2)*(1 + 4 - 3) + (3*t - t - 4*t)*(-18 + 30 - 461)*(0 + 0 + 2*t) as v + n*t**2 + l*t and give n.\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 4*r + 34*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2885383 divided by -6?\nAnswer: 2885383\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35898*g**3*q**3 + 6*g**3*q**2 - 4*g**3*q - 21*g*q**3 - 387*g*q**2 - g*q - 15*q**3 - 97*q**2 - q wrt q?\nAnswer: 215388*g**3 - 126*g - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*v + 2442 - 244*v - 2442.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-20)*2*-5. Let x(l) be the third derivative of l**6\/120 - 7*l**5\/60 + 5*l**4\/24 + 2*l**3\/3 - 3*l**2. Determine x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -13?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -524, -445, -366, -287, -208?\n\"Answer: 79*m - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1018 + 237 = 5*c, -2*c - 4*i + 480 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 21482, -2, 3, 10 in decreasing order.\nAnswer: 21482, 10, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 8. Suppose 0 = -4*q - 8 - 4, -3*m + 21 = -2*q. Let z be u(m). Solve -5*p - 2 = h, -p + z*h = 2*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 20 = -12*f, 0 = 3*f - 3*s + 415 - 418 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 - a**3\/6 - 3*a**2\/2 + 10*a. Let w be j(-2). Let l = -5 - -23. Calculate the greatest common divisor of l and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(((l**(1\/3)*l)\/l)\/l)\/l*(l**(-30\/11)*l)\/l*(l\/(l*l*(l**(1\/5)*l)\/l))**(-34))**(-17) assuming l is positive.\nAnswer: l**(-104924\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, -4.9, 1\/4, -115, 0.07 in ascending order.\nAnswer: -115, -4.9, -0.1, 0.07, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.9910451 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 46. Let g = 13.99998 - q. Round g to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 3*i + 1138 + 864 + 210 - 159.\nAnswer: -3*i + 2053","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*g - 4 - 35, g = 2*q + 38. Let d(a) = -a - 17. Let f be d(q). Solve -4*v = -f*u + 2*u - 12, -5*v + 15 = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 21*u**3 + 9*u**2 - 165*u - 150.\nAnswer: -3*(u - 5)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28466 divided by -53.\nAnswer: 28466\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6857 - -61781\/9. Calculate the common denominator of -4 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1012, 1011, 1010, 1009, 1008?\n\"Answer: -i + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -677 in increasing order.\nAnswer: -677, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let h(o) = -8*o - 2. Let l(s) = -h(s) + i(s). Let p(q) be the first derivative of 3 - 1 + 3*q**2 + q**2 - 1 + 2*q. What is 7*l(k) - 6*p(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18506 divided by -487?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 2*l**2 - l**2. Let v(x) = 4*x**2 - 11*x**2 + 6*x**2. Determine v(d(q)).\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 1. Suppose -14*o + 16*o = 192. Let k be (-4)\/26 + o\/(-52). Let a(w) = -21*w + 4. Calculate k*a(h) + 11*j(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151520 - -0.64.\nAnswer: -151519.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**2\/2 + 2*r - 20. Calculate i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 53 + 414*d + 24 + 9*d**3 - 414*d.\nAnswer: 9*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1458*g + 70*g**2 - 110*g**4 + 14*g**4 - 1460*g - g**4 as p*g**4 + q*g**3 + r + f*g**2 + n*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3813663*q**2 + 9*q - 86686740.\nAnswer: 7627326*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13584 and -0.2.\nAnswer: 2716.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11625246 - -11625246.6499963. Let m = n - 0.65. Round m to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183343 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 + 119. Solve 2*u - 3 + y = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 53826*k**3 + 144*k**2 - 18. Let g(a) = -15379*a**3 - 40*a**2 + 5. Give 18*g(v) + 5*x(v).\nAnswer: -7692*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 2}. Give prob of sequence llq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 6*g - 48. What is the units digit of c(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + o + 43 = -108, 0 = -2*d - 4*o - 148. Let f = d - -106. Solve 5*w + x = 25, 5*x = -5 + f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 1.3. Let a = 15 - 11. What is the closest to -2 in 0.4, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away 109.314?\nAnswer: -109.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 478 - 657 = 0. Let y = x - -228. Solve y + 3 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1476 and -31\/1312?\nAnswer: 11808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -52. Let b(d) = 4*d - 16. Let m be b(q). Solve 0 = -k + m + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Solve -2*o + 15 = i*q, -2*o + q - 5 = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 33*w**2 + 30*w**2 - 58*w**2. Let z(c) = -c - 6. Let q(k) = -k - 5. Let m(l) = -6*q(l) + 5*z(l). Give u(m(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27310091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83970 and 1.48.\nAnswer: -124275.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(847) + sqrt(847)) + 5*(sqrt(847) + 1*sqrt(847)))*4.\nAnswer: 12 + 352*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 18 = y, 0 = 5*y - 2*y - 4*q - 16. Suppose 6*c = 9*c - y. Solve -3 = c*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162\/19 - 36\/19*i - 2\/19*i**2.\nAnswer: -2*(i + 9)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1921645, -1921642, -1921639, -1921636, -1921633, -1921630?\n\"Answer: 3*k - 1921648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 871113345 by 174222669.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*t**3 - 941*t**3 + 697*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(22\/14784*16))\/((2 - -1) + -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 44*z - 1102. Let m be j(25). Let a(o) = -o**3 - o + 1. Let f(g) = 10*g**3 - g + 2. What is m*a(p) + f(p)?\nAnswer: 12*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 3*s - 1. Let i(a) = -a**2 + a + 1. Let x = -601 + 602. What is x*i(n) - b(n)?\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -16*s - 221. Calculate i(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 162\/25 (c) -4356\/13 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/267 and (57\/(-5))\/(112\/80*-1)?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1698733, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + d = -14, -43*d - 160 - 202 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -290034.\nAnswer: -290034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.49972745 and 4.\nAnswer: 24.49972745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -624 - -10?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, x: 5, j: 1, e: 2}. Give prob of picking 1 e, 1 v, and 2 x.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 + u**2 - u + 4. Let c(o) = o**3 - 2*o**2 + 114*o + 4. Determine -c(w) + z(w).\nAnswer: 2*w**3 + 3*w**2 - 115*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6890?\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199968 is divided by 199904?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.7 + -0.2. Let y = o + 5.9. Sort 0, 2, 1\/3, y in decreasing order.\nAnswer: 2, y, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 461e - 3?\nAnswer: 461b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4027513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 178244467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 15) in base 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -0.0428.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1771.999669 - 1772. Round x to five decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32010332 (base 4) to base 3.\nAnswer: 2221002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209655699 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 7*a + 2. Let v be z(-7). Suppose -v*b + 0*b + 4 = 0. What is the tens digit of b*(-4)\/8 + 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5754, 22745, 50970, 90435, 141146?\n\"Answer: x**3 + 5611*x**2 + 151*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1376508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**18*m**(-2\/9))\/(((m\/m**(1\/3))\/m)\/m**(1\/5)) assuming m is positive.\nAnswer: m**(824\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1085\/3? (a) -0.5 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 22 = -22. Calculate the common denominator of (-1088)\/(-66) + 2\/x and 10\/(-25)*(-305)\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.215\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -221*b + 2. Let y(q) = -148*q + 1. What is -5*g(f) + 8*y(f)?\nAnswer: -79*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:14 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from hhhhhhhhqhdhhhqq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 256349724 and 256349726 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4141387 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 17*h + 29. What is d(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -378511, -1514046, -3406605, -6056188, -9462795?\n\"Answer: -378512*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70073201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*n**2 + 170*n - 170*n in the form r + x*n + j*n**2 and give j.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0098? (a) 228 (b) -10 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + 10433023?\nAnswer: 10432420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 7*m + 5. Calculate w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + -6 + -21 + -87 + 120.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73990084 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247.508 millimeters in centimeters?\nAnswer: 124.7508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 k when three letters picked without replacement from tkkkktkkkkktkkkkkkt?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3 - 724*u**2 - 6334*u + 7060 = 0.\nAnswer: -353, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - -5. Let l be s\/(-15) - (1 + -3). Suppose 0 = -g + 5*a + 9, 3*a = -a - 8. Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 41*d - 43*d + 60 = -0*j, 0 = -4*j - 5*d - 74 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 150*u - 5. Is f(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*w**3 + 1244*w**3 + 0 + 0.\nAnswer: 2292*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jil when three letters picked without replacement from ibjlqqebilelqbq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-67)\/201)\/((-14)\/(-12)))\/(2\/(-91)))\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -392940.7 to the nearest one thousand.\nAnswer: -393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -160294, -320609, -480928, -641251, -801578, -961909, -1122244?\n\"Answer: -2*c**2 - 160309*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2*v - 6 + 16, -3*v = 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*x - 34, 5*x + 0*k = -k + 85. What is the remainder when x is divided by (21\/(-28))\/(3\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 50*p - 3135. Determine o(60).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1866*p + 3110 wrt p.\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480171 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 3, z: 3, u: 2, w: 2, i: 1}. Give prob of sequence lz.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/((q\/(q\/q**4*q)*q*q)\/q))\/q)\/q)\/q**(-9\/5))\/(q\/q**(-2\/3)*q)**(-3))**48 assuming q is positive.\nAnswer: q**(1152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r**3 + 16*r - r**2 + 17*r - 33*r as t + k*r**2 + i*r**3 + o*r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38041456 divided by 9510364.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let p(v) = 3*v**2 - 4*v + 4. Suppose 0 = 2*r + 2*r + 16. Let x(t) = t**2 + t - 1. Let k(d) = r*x(d) - p(d). What is k(a(s))?\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 400438.1 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2108 and 75\/22.\nAnswer: 23188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 46*y + 7 + 5)*(7*y + 14*y - 16*y) as a*y + i + r*y**2 and give r.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x + 115 = 0. Let g = -10 - x. Calculate the greatest common factor of 117 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsfszkkkusb. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 + 8*c**2 + 9*c**2 + 145*c**3.\nAnswer: 145*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 2096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586749523?\nAnswer: 22343, 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**3\/3 + q**2\/2 + 2*q. What is the units digit of z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuttttuuutuu.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((32\/72)\/((-340)\/(-11322)) + -15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 4. Let q be n(6). Let k be 36\/165*(-5)\/q. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130582?\nAnswer: 2, 449, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 - 11*a**5\/20 + 17*a**4\/12 + 135*a**2 - 8. Find v, given that f(v) = 0.\nAnswer: -34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - g - 7 + 5*g**3 + 0*g**3 + 3*g**2 - 4*g**3 in the form s*g**3 + j*g + q + t*g**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 15*x - 499, 4*x - 142 = -277*h + 272*h for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-12) - 0 - -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -8, -3, 0.2, -5\/2, 0.1 in decreasing order.\nAnswer: 31, 0.2, 0.1, -5\/2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -11813*j + 82683. Give o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n + 82*n = -5*x - 5, -6*n + 15 = -n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*r - 24, -5*c = -4*c + r + 14. Let g(v) = v**2 + 17*v - 14. Let k be g(c). Solve 5*n = 2*n - 3, 0 = -3*d + k*n + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -662 + 115 - 12*g + 146 + 104 + 121. Calculate n(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = 5*b + 145, 5*v + 79*b - 84*b - 55 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 71153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*h - 2 + 1)*(-3*h**2 + 3 - 3) + (-2 + 0 + 4)*(4*h**2 - 4*h**2 - 4*h**3).\nAnswer: h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z*z**(-14)*z)))\/(z*z*z**(-14)*z))**(-3\/7) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 480 + -426. Factor 12*q - 1 - 3*q**2 + 51 + 54*q - u + 73.\nAnswer: -3*(q - 23)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4 - -9. Let q = -39459.4029 + 39461. Let z = q - b. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 - 7*x**2 - x**2 - 51*x**2.\nAnswer: -70*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/5 - 1596*l**2\/5 + 212268*l\/5 = 0.\nAnswer: 0, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1299, 1272, 1227, 1164, 1083, 984?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000624094737 rounded to six dps?\nAnswer: 0.000624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 26*u. Let g(j) = -78*j. Determine 6*g(i) + 21*w(i).\nAnswer: 78*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = 7. Let c = 1 + u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15983, 15949, 15915, 15881, 15847?\n\"Answer: -34*t + 16017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 10*k + 12. Let i be n(-14). Suppose -4*u - i = -6*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -460309564 divided by 6870292\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 10:07 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/28)\/((-8)\/96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/2)\/q**2*q**(2\/9)\/q*q**(4\/11)*((q*q*q**(-4)*q)\/q)\/q**(-3\/5)*q**(-3)*q**0 assuming q is positive.\nAnswer: q**(-7241\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from scwcccwcwscccwcscws.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2122 = -92*m - 66*m + 4198 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -17262.083?\nAnswer: -17261.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/2 + 95*b = 0. Calculate b.\nAnswer: 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1088 + 140 = -3*y. Let l = 1033 - y. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -14. Suppose -8*i = -5*i + 5*y - 6, 5*y = 0. Let o(g) = d*g**2 - 3*g**2 + i*g**2. Let t(v) = 3*v**2. Give o(t(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + (1025\/120 - (-40)\/(-24))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 8*r = -112. List the prime factors of (-1794)\/r + (-62)\/496.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-70)\/(-40))*(16\/(-20))\/((-9)\/30)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -2\/107 (c) 1\/3 (d) 28 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6050597 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 hundred thousands digit of 1274528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, -5, -2.\nAnswer: -345, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-88)\/(-8))\/(14\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.258961 millilitres in litres?\nAnswer: 0.002258961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -2\/19 (b) -5 (c) 0.1 (d) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.5 (c) 1906\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + z**2 - z**2)*((z + 2 - 2)*(-2*z + 3*z - 3*z) + 3*z**2 + 2*z**2 - z**2 + (0*z + 0*z - 2*z)*(0*z - z - z)).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -101401401?\nAnswer: -101401420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 551, 3043 in ascending order.\nAnswer: 2, 551, 3043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6140\/2763 - 4\/(-18))*-4*-9?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3233 * 0.0779\nAnswer: 251.8507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - 1 - (168 + -117 - (24 - -40)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/3*-1)\/(132\/88)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12 + 5)*(2*t + 5 - 5).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 10*q**2 - 12*q.\nAnswer: -2*q*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 20*s**2. Let y(d) = 2*d**2. Give w(y(q)).\nAnswer: 80*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4599410 rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24980152409 rounded to the nearest 100000?\nAnswer: 24980200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43\/24 - 1\/8. What is the third smallest value in -13, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7)\/(10\/(-140)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 2*p + 3. Let a be w(4). Let z = 14 - 14. Suppose 0 = -z*g + g + 5*l, 2*l = -2. Solve g*c + 40 = -5*t - 0*t, -c - a = 2*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 200*b + 15773 = 983534. List the prime factors of b.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(252) + (sqrt(224)\/sqrt(4))\/sqrt(8))*5.\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10991, 10993, 10995, 10997, 10999, 11001?\n\"Answer: 2*p + 10989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -482.9?\nAnswer: 483.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15011381897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -16. Solve t - n = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Let c(m) = -m**2 + 10*m + 22. Let d(v) = c(v) - 4*p(v). Let o be d(15). Suppose o*x - 91 = 17. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2*y**2 - 8*y - 7. Suppose 0 = -4*m + 3*d - 32, 0 = 4*m - 5*d + 23 + 17. Let n be j(m). Let f = n - -5. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.9*0.2\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 19*d**2 + 24883*d\/5 + 9516 = 0.\nAnswer: -260, -183\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Calculate the common denominator of -1*13*j\/10 and (57\/33 - 1)*21\/6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 79\/13 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2 - 764*b - 2066*b - 1565*b - 2867*b**2 wrt b.\nAnswer: -5730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - h - 1. Let y(d) = -7*d**2 - 7*d - 12. Give 5*f(r) - y(r).\nAnswer: 2*r**2 + 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2187266 or -2187253?\nAnswer: -2187253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 21. Suppose 2*b - v - 3 = 0, -5*b = 4*o - 73. What is the tens digit of 158\/o + 3\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -31. Let r be 4 + (2 - (-34)\/n). Let a = r - -48. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 395*c - 987*c + 319*c + 5 + 373*c in the form t*c + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 + 5*g - 1. Let s(i) = -11*i**2 + 11*i - 2. Let p(o) = 3*o - 9. Let a be p(6). Let f(l) = a*w(l) - 4*s(l). Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 0. Let b = 5 + -3. Suppose -138 = -2*c + 2*x, -5*c + 318 = 2*x + b*x. Calculate the highest common factor of c and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2\/5 - 340*q - 190256\/5 = 0?\nAnswer: -92, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 4*t**2.\nAnswer: -4*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t**2 + 2*t. Let a(n) = 8*n**2. Give k(a(x)).\nAnswer: 832*x**4 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -5426, 116, 2.4 in decreasing order.\nAnswer: 116, 2.4, 5\/3, -5426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3687485 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 -66538, 0.4, 1\/3, -1, 0.3, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 1. Give a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6073, -11935, -17797, -23659, -29521, -35383?\n\"Answer: -5862*h - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.4 in 5, 0.008, 1\/2, 1\/3, 2\/25?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from {r: 3, o: 3, p: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37.32 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(4\/2). Suppose 12*k - 9*k = 5*m - 2054, 2*k = -6. Let j = m - 409. What is the closest to j in 0.5, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92*n**4 + 638908*n**2 - 638908*n**2)*(-96 + 123 + 131) to the form z*n + c + k*n**4 + y*n**2 + p*n**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -5. Let g = 1 - 0. Let t = g + v. Which is smaller: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195874 - 195870. Let h = 1 + -1.1. Which is the nearest to h? (a) 13 (b) 2 (c) z (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277826 (base 10) in base 16?\nAnswer: 137f82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/72 - 2\/(-8). Let b = 30985 + -30988. Sort k, b, 1\/22.\nAnswer: b, 1\/22, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23494939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 12, -5, -131 in decreasing order.\nAnswer: 12, 3, -1, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/8, 4, 3, 0, 31, 188, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 418, 2\/3, -0.4, 0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2322 (base 6) to base 8\nAnswer: -1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7193783711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2043320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = 10. Let p be (3 + -3)\/(n + -3). Are -2\/25 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 593.12\nAnswer: -177.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 1951194.\nAnswer: 1951194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from dddddqdqixdddiqd?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69554?\nAnswer: 2, 83, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343.0359 - -0.0359. Let k = -242 - l. Let z = k + -100.99999937. What is z rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 + (-15 + 34 - -2 - 4) - -7?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 171658.624 to the nearest one hundred.\nAnswer: 171700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-34 - 6) - 74\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219285 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Let r = 31 - 27. Suppose q + 4*a + r = 0, 4 = -5*q - w*a + a. Solve -2*x + 3*x = q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*z - 2*c + c, 2*c + 2 = 2*z. Let l(v) be the first derivative of v**3\/3 + v**2\/2 - 3*v + 2. Is l(z) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 594 - 593. Let d = 1 - -1. Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 12. Let l = v - 1. Suppose 5*h - 10 = 5*o, 3*h + o - 6 = l*h. Solve -y - y = -8, -h*d + 2*y = 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 21*q**2 + q - 2*q**3 - 3*q.\nAnswer: -2*q**3 - 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyuu. What is prob of sequence uqy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220202122 + -201?\nAnswer: 220201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 10*b - 1. Let m be p(9). Suppose 10*k - 14 = m*k. Solve -2*t + k = -3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 9. Let s be ((-48)\/15)\/((-4)\/30). Suppose f = -2*r + 3*f, -4*r = 4*f - 32. Solve -r*w = -s + u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1634 and 14.\nAnswer: 11438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*f + 24222, -24212 = -2*k - f + 2*f. Let i = k - -2784. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-12)*6\/(-4). Let c be (-4206)\/(-12)*12\/(-22). Let a = c - -191. Put i, -0.1, a in decreasing order.\nAnswer: -0.1, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63900 + -b0?\nAnswer: -639b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 58351765 and 18781.\nAnswer: 58370546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -288\/8941 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1966 and 2381809.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 16*c = c + 4*c + 975 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6426, -6434, -6442, -6450, -6458, -6466?\nAnswer: -6474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1. Let c(l) = 4*l**2 - 2*l - 6. Give c(v) - q(v).\nAnswer: 4*v**2 - 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4704*o - 4702*o - 50, 0 = 4*o - 16 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.35 - 14. Let n = 0.05 + g. Let v = -0.081 + -0.919. Which is the closest to v? (a) n (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1331617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27784 and 992?\nAnswer: 3445216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 - 9*w**2 - 3*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-6))\/((-170)\/260 + (-36)\/(-234)) + 48?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19964 and 1231972.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7095 by 54.\nAnswer: 2365\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 36. What is the remainder when c is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2755, 5862, 8969, 12076?\nAnswer: 15183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*v - 6746 + 6642 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -3, -2\/3, -5, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 26 = 4*o - 8, -5*o - 35 = -5*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 2*o + 1. Let h(t) = t**2 - 3. Let g be h(0). What is the units digit of s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 38*n**6 - 5*n**5 + 156*n**2 - 5*n. Let g(r) = -r**5 - r**2 - r. Let h(l) = d(l) - 5*g(l). Find the third derivative of h(f) wrt f.\nAnswer: 4560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*x = 98*x - 402. Let q = 177\/5 - 178\/5. What is the third biggest value in q, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53701075 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20465737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:40 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(28\/(-352))*19\/(-152). Put -1, -30, u in ascending order.\nAnswer: -30, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -330 + 333. Let 1\/4*y**t + 1\/2 - 3\/4*y + 0*y**2 = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26145902*l**3 - 617426*l**2 - l + 2.\nAnswer: 156875412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = i, 4*x - 7*i = -9*i + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3 + 3)*(0*u + u + u) + (-2*u + 3 - 3)*(25 - 25 + u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*4*1 - (1*sqrt(768) + sqrt(768)))\/(3*(2*sqrt(144)\/sqrt(3))\/sqrt(12)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2332 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 1 - -90)*1. Let y = i + -41. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32\/3 (b) 6\/37 (c) -23070\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - m - 18, 3*k - 3*m = -2*k - 31. Let q(n) = -n**3 - 5*n**2 - 3*n - 2. Give q(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 54*u**3 + 48*u**2 - 104*u.\nAnswer: 2*u*(u - 1)*(u + 2)*(u + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6051 - 0.3949. Which is the second smallest value? (a) 22 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23696093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2830 - 2843 - 21*p + 5673 + 19*p + 5*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -42926 + 42926 + 4803*p. Let g(f) = -4*f**2. What is m(g(i))?\nAnswer: -19212*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:02 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = -4*r + 2, f - 2*r = 8. Let y(d) = -d - 4. Let m be y(-4). Suppose -2*g - f*l = -4*l - 2276, 2*g - 5*l - 2267 = m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22414 + -86232\nAnswer: -63818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72.3 + -5.7. Let v = 77.39 + x. What is v rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 10*u**4\/3 - 67*u**2 - u - 52. Differentiate n(y) with respect to y.\nAnswer: 80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 15, 3*d = 7*d + 3*y - 141. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z + 3. What is y(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/42*(-10437)\/4970\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*r**3 - 2*g*r + 5*g*v**2 + 395224*g*v + 7639736*r*v**2 + v**2 - 2*v with respect to r.\nAnswer: 6*g*r**2 - 2*g + 7639736*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 48*x**3 + 14*x**2 - 9*x + 16. Is 26 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:27 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66.7, 2, 76, -1, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17*x. Let j(y) be the third derivative of y**5\/30 - y**2. Calculate j(c(b)).\nAnswer: 578*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16982439?\nAnswer: 3, 17, 332989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:56 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -18*w + 481. What is the tens digit of r(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6133.\nAnswer: 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197 + -14256. Which is greater: -14060 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8690 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 + 5*w - 3. Let z(v) = -14*v**2 - 14*v + 8. What is 8*h(r) + 3*z(r)?\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 41. Let z(i) = 5*i**2 - 18*i + 11. Is z(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 9) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355641.\nAnswer: 7, 193663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, -2\/7, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58879049 a multiple of 1456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 1, 0 = 4*x + 2*a - 1686. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 8*t + 6. What are the prime factors of y(4)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - 4*s, -3*s + 8*s + 34 = 2*w. Suppose w*o - 14*o - 7 = 0. Which is smaller: o or 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299253 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-56))\/((-39)\/637).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7320)\/(-20))\/((-696)\/(-116)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + 7.72. Let s = -16.9 + 17. What is the biggest value in l, s, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.5 - 30.439. Round y to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09061201 to 5 decimal places.\nAnswer: -0.09061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705627 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534 divided by 1.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let a(u) = 5*u - 4. Let d be a(c). Solve -2 + d = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 4. Let o be z(-8). Suppose -640 = 30*l - 50*l. What is the remainder when l is divided by (11 + o)*(2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 y, and 1 x when four letters picked without replacement from yuuuukrkuxkrr.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -6 - -12)*((-15)\/(-7))\/((-96)\/(-160))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 1:23 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105178.085567 - 57.\nAnswer: 105121.085567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 554 * -0.4\nAnswer: -221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 22*l**2 + 74*l - 30. Let i be p(-25). Let n be 56*(0 - (-26)\/20). Let v = 73 - n. What is the biggest value in -0.2, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*a**2 + 373*a**2 + 127*a - 192*a**2 - 22*a = 0. Calculate a.\nAnswer: 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 1:04 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 4.83\nAnswer: 0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229.7 or 0.0224?\nAnswer: 229.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(28)\/sqrt(4))**2 + sqrt(7) + 3*(sqrt(28)\/sqrt(4) - sqrt(7)).\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/30*15\/(-12). Suppose n*b - 105 = -45. Solve 0 = 5*a + 5*x - b, -4*x = 2 - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + (-2)\/(-7). Let c(f) = f**2 + f + 4. Let p be c(v). Solve 5*q + 7 = -2*y - 1, p*y - 8 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -31405, -1\/5, -1.083, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + i + 125, -3*r + 170 = 2*r - 4*i. Let y(k) = 4*k**2 + 27*k + 39. What is the lowest common multiple of y(-5) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e96 (base 15) to base 14.\nAnswer: 12b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (4 + -10 + (-14 - -1 - -19))) + 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2935 = -3*c, -5*c + w + 5446 = 552. Suppose c = 9*a + 2*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:24 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let i = 21 + -53. Let j = i + 52. Solve j = -7*g + c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10684*g**2*u**3 + 137*g**2 + 26766*u**3 - u**2 - 11*u - 10 with respect to g.\nAnswer: -21368*g*u**3 + 274*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2464594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8022*r**4 - r**3 + 2*r**2 + 99*r + 19.\nAnswer: -96264*r**2 - 6*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.166 - -16.166. Sort 1\/12, d, 0.6, 0.\nAnswer: 0, 1\/12, 0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, 4, -0.1, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a factor of 701331010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/270 - t**5\/45 - t**4\/6 + 2*t**3 - 17. Let y(l) be the third derivative of f(l). Factor y(j).\nAnswer: 4*(j - 3)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6) - 61\/(-2379)*-195?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = 3*f. Put -5, -4, f in decreasing order.\nAnswer: f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r + 31*r = 0. Solve 5*a - o + 19 = -3*o, r = 3*a + 5*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - m - 84, -2*s + 82 = 3*s - 3*m. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700700 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67810 = -1304*t - 2606 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 16*f**2 - 36*f - 22. Give b(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12021 (base 7) in base 2?\nAnswer: -110000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14029465 and 1809?\nAnswer: 378795555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24112 is divided by 689?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**7\/2520 - q**6\/120 - q**5\/40 - q**4\/12 + 4*q. Let j(h) be the third derivative of d(h). Give j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001506056973 to 7 decimal places.\nAnswer: -0.0001506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -x + 3, 4*a - 9*x = -12*x - 7. Suppose 0 = a*l - 3*l + 5779. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -1. Suppose -a = 8*s - 24. Solve 2*y + 5*b = -0*y, 0 = s*b - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 6:36 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 s, and 1 j when four letters picked without replacement from {c: 3, k: 3, s: 5, j: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k + 5*z - 68, -5*z - 100 = -5*k. Suppose 5*i - 5*t = -50, 0 = 3*i - 4*i + 5*t - 26. Let q = i + k. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 - 24928*i**2 + 6717658*i - 457588220 = 0. What is i?\nAnswer: 137, 12190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*-1*6)\/(2*-3*sqrt(160)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01309692635 rounded to five decimal places?\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3185*f**2 - 4 + 3186*f**2 + 4 + 291*f**3 + 2*f to the form o + n*f**2 + x*f**3 + u*f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 12949 = -w, w - 5*w - 4*q + 51808 = 0. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-2 + 2*g**2 + 2)*(-44*g**2 + 105*g**2 + 50*g**2) as a*g**3 + c + u*g + p*g**4 + l*g**2 and give p.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3 + 0*j - 2*j + 6*j. What is the units digit of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 3432*b**3 - 736164*b**2.\nAnswer: -4*b**2*(b + 429)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 693368 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/30*(-25)\/(-10))\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2. Let v(j) = 11 - 9*j**2 + j**2 - 8*j**2 + 8*j**2. Let i(x) = 5*p(x) + v(x). Let r(b) = -7*b**2 + 6. Calculate -6*i(u) + 11*r(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7619193\/(-12) - (-60)\/80. Let f = l + -534068. Round f to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-78) + (-5)\/24.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 789 + -489. Let y = 21 + h. What is the remainder when y is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -8\/105*x**7 + 0*x**3 + 0 + 1\/10*x**5 - 68*x**2 + 0*x + 0*x**4 - 1\/60*x**6. What is the third derivative of k(h) wrt h?\nAnswer: -384*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 21*z = 8997. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/30 - 11*z**2. Let h(y) = -2*y**2. What is h(c(r))?\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g + 4 = 56*g - r, 0 = -r. Let x = -5.84 + -0.16. Which is the nearest to g? (a) -0.2 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (7 - 4))*(-4697)\/924\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 25185282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5656 and 37976?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 - 1505 = 34*c - 550 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 11. Sort a, 0.2, -0.4.\nAnswer: a, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4726226 rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - u - u - 3*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**3\/3 - 7*a**2\/2 - 6*a + 4. Let p be f(6). Let c = p - -131. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + 0 - sqrt(7)) + (-3 + sqrt(7))*6.\nAnswer: -18 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 7) in base 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. What is the common denominator of l\/(-8) - (-609)\/132 and (-19 - -22) + 240\/(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 738 = -4*t - 5*w - 782, -5*t + w = 55 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 485016367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173\/15 - -31\/3. Which is the second smallest value? (a) f (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.119137 times -947\nAnswer: -112.822739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 7*n**2 + n - 7. Suppose 5*c - 51*c + 92 = 0. Let z(l) = -l**2 + l + 1. Give c*u(x) + 14*z(x).\nAnswer: -2*x**3 + 16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 769?\nAnswer: -2307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 142. Is 14476\/o - 2\/(9 - 15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 26\/109, -0.28, -0.11, -1 in ascending order.\nAnswer: -1, -0.28, -0.11, 26\/109, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 99.8. Let a = -6 - -5.6. What is the closest to 4 in r, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -618 - -471. Let n = x - -583. What are the prime factors of n?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n. Let y be 0 + 5 - ((-49)\/(-7) - 5). Let d(p) = -2. Let b(r) = 4*r - 6. Let z(f) = y*d(f) - b(f). Calculate 7*c(q) - 5*z(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 506760?\nAnswer: 506760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*t**4 + 2*t**3 - 861 wrt t?\nAnswer: -64*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*3\/(-60) + (-75)\/(-20). Solve 5*m - 4*m = -w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*((2 + sqrt(832))*-2 + sqrt(832)).\nAnswer: 5 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 17*c**2 + 2*c + 3. Let a(f) = -15*f**2 - 2*f - 2. Let j(y) = 7*a(y) + 6*g(y). Give j(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0.5, 1.28.\nAnswer: -13, 0.5, 1.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 2 - 15\/4*w**4 + 13\/3*w**3 + 0*w + 0*w**2. Find the third derivative of m(l) wrt l.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*i**2 - i**3 - 3*i**3 + 1074*i + 3*i**3 + 506*i.\nAnswer: -i**3 - 81*i**2 + 1580*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/34808 and -24\/11.\nAnswer: 382888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:45 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 103*y - 98*y - 5*l, -5*l - 4 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 2*q + 2. Let u(z) = -4*z**2 + 18*z - 6. Let r be u(4). What is n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21041622*r*v - 86714982*r wrt v.\nAnswer: -21041622*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 28. Suppose j*t - 22 = 14. Suppose 0 + t = 3*y. Solve 0 = -y*a - 8 - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w = 33*w - 144. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 3*d - 2. Let c be u(5). Let k = 18 - c. What is the second derivative of 2*t - t + k*t**5 - 32*t**5 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1146200686 divided by -28943.\nAnswer: 39602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + 162. Solve -x - 2*o + 3 = 11, 3*o + g = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 43 - 34 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 9. Suppose 10 = g*k - 9*k. Solve -3*z - k = -5*m - 35, 5*m + 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 - (-7 + (-8 - 2 - 14) + 33).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 a, and 2 p when four letters picked without replacement from pkepppahap.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 6. Let i(p) = 189*p + 79. Give 2*i(f) + 26*x(f).\nAnswer: 430*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80929, 161837, 242749, 323665?\nAnswer: 404585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqpppp. Give prob of picking 2 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30217 (base 9) in base 13?\nAnswer: 906a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 364\/(-24) - (-5 + 2)*-1 and 97\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 7*u. What is the smallest common multiple of u\/4 - ((-242)\/(-8))\/(-1) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.46 - -0.42. Round a to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 724529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3 - 20\/6)*3261)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s + 8. Suppose -3*z = 5*w + 27, 3*w = s*z + 1 + 6. Let v(l) = -6*l + 61. Let j be v(11). Sort z, j, 4, 9 in ascending order.\nAnswer: j, z, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.74 (b) -18 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiixiixi.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -64. Suppose 0 = -4*p + 4 + g. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 3*p - 1174*p**2 + 1193*p**2.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1596.967888 - -532.\nAnswer: -1064.967888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:39 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 141*m + 903. Let a be z(6). Solve -5*n - 6 = -a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/7*t**3 + 6\/7*t**4 + 2\/7*t**2 + 0*t - 2\/7*t**5.\nAnswer: -2*t**2*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 0 + 2 - 3)*(6089 - 5150 + 4927 + 5482) as s + u*j and give s.\nAnswer: -11348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, -3, 1, -4, -1 in descending order.\nAnswer: 24, 3, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231855 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let q = x - 0.4. Let i = 217\/65 - 33\/13. What is the biggest value in 1, i, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 123 = 92 - 158 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n. Let p(u) = -7*u. Let o = 4386 + -4382. Suppose 5*l + 5*f + 20 + 10 = 0, -2*l - 33 = -5*f. Determine l*p(s) + o*j(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709852994 to the nearest integer?\nAnswer: 26643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16 - 4)*(-1539)\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -71. Let r = 5 - 13. Let l = r + 9. Which is the nearest to l? (a) 2 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**2. Let c(l) = 3*l - 2. Let n = -16 + 13. Let q(b) = 4*b - 3. Let p(g) = n*c(g) + 2*q(g). Give p(v(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)\/y)**(-2\/7) assuming y is positive.\nAnswer: y**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - ((-34251)\/(-3087) - -22)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60123 + 2?\nAnswer: 60125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -507*i**3 - i**2. Let o be p(1). Suppose -2*g + 5*g - 6 = 0. Is (2\/(-4))\/(g\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5904, 5876, 5834, 5772, 5684, 5564?\nAnswer: 5406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-52)\/(-8) + -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-2 - 232\/(-60)). What is the nearest to j in 1, 5, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-45))\/((-24)\/120)*(-1 + -8). Solve -5*y + 47 = 2*p + 44, -2 = t*y + 5*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpp when three letters picked without replacement from {t: 5, m: 1, y: 4, p: 6}?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4460040.792 to the nearest 100.\nAnswer: -4460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680\/(-350) + 5\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 166324 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 5*f**2 - 5*f - 4. Let h = -20 - -26. Let q be w(h). Suppose -q*y + 246 - 48 = 0. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -84, -129, -174, -219, -264?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5190, 13014, 23472, 36564, 52290, 70650?\n\"Answer: 1317*w**2 + 3873*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = -5*s, 0 = -4*q - 3*s + 8 + 2. Let h be -4 + 4 + q + 3. Solve 3*l - 7 = -h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(28)\/sqrt(4) + 3)**2 + (sqrt(63)\/sqrt(3))\/sqrt(3).\nAnswer: 15 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -590096?\nAnswer: -590122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -867*k - 66 + k**2 + 867*k to t*k + l*k**2 + x and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16)*l**27)**37 assuming l is positive.\nAnswer: l**407","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**14*p)\/p)\/(((p*(p**(-1)*p)\/p)\/p)\/p))\/((p**13\/p)\/p**(1\/8)) assuming p is positive.\nAnswer: p**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-15)*u*((u*u**(-19))\/u*u)\/u)\/((u\/u**(-9))\/u**(1\/4)))**(-42) assuming u is positive.\nAnswer: u**(987\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 16, y: 4}. Give prob of picking 1 y and 1 l.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 + 2.2. Let f = 5.3 + o. Let q = -3.166 + f. Round q to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuudd. Give prob of picking 2 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4483027, 17932129, 40347303, 71728549, 112075867?\n\"Answer: 4483036*a**2 - 6*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -240?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1 (c) 87634\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, g: 2, t: 1, p: 6, m: 4}. Give prob of picking 1 p and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/35)\/((-5)\/(-25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -240 (b) 4 (c) 1\/17 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) + (sqrt(7) - sqrt(7)*1*-6) - (-1 + 1 + sqrt(7) + sqrt(7)))*2)**2*6.\nAnswer: -36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*-1)\/(-19*(-19)\/10108)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29 and 39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-27)*387\/(-258)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 80*v + 33. Let l(h) = 237*h**2 - 2*h + 1. What is the remainder when l(1) is divided by x(-27)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from {p: 11, a: 1, s: 1, t: 2}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 119, 281, 509, 803, 1163, 1589?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 87*c**2 + 328*c - 165. Give k(-83).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*c**2 - 275*c**2 + 1831*c**3 + 58*c**2 + 66*c**2 + 87*c**2.\nAnswer: 1831*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 59, -532, 3, -4, 1 in descending order.\nAnswer: 107, 59, 3, 1, -4, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 390 + 3?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67354365 + 3?\nAnswer: -67354362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*s - 129 = 376*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**14*n\/n**(-5))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15107107 - -26?\nAnswer: -15107071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 d when three letters picked without replacement from gdntmmu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**2 - 4*o - 10. Let b = 115 + -111. Calculate k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**2 - 35*r - 3. Let b(i) = -5*i**2 + 36*i + 2. What is -3*b(v) - 2*s(v)?\nAnswer: 3*v**2 - 38*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(150)*2*-6 + sqrt(150))\/(sqrt(3) - sqrt(18)\/sqrt(96)) + -2.\nAnswer: -440*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -7*r**6\/60 - 13*r**5\/60 - 5*r**2. What is the third derivative of c(g) wrt g?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2170 (base 12) to base 5.\nAnswer: -104214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4904e (base 15) to base 9.\nAnswer: -384482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p - 18*p)*(3*p**3 - p**3 + 0*p**3) - 3*p**2 + 3*p**2 + 2*p**4 to g*p**4 + c*p**3 + b*p**2 + i + f*p and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s - 1 - 26*s + 2 + (-5 + 3 + 4)*(s - 4 + 4)*(-85 + 14 - 1))*(5 + 1 - 4).\nAnswer: -380*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (118\/6 - 1)*3. Let i = -107 + h. Let o = -258\/5 - i. Which is the smallest value? (a) -3 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 38*o**2 - 43*o + 46. Determine q(18).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4026331 by 138839.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 + 0.08. Suppose 0 = 6*q - q - 25. Suppose -2*u + 4*m + 1 = 13, -q*u + 4*m - 30 = 0. Sort u, g, -5.\nAnswer: u, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) 5 (c) 126893 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00092272228 rounded to five decimal places?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -92, -65, -5?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 14. Let z be w(9). Let t be 2\/(-4)*-2*3. Let g(y) = -z*y + 4*y + t*y. Let r(x) = -5*x. Give g(r(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.17, -0.07, 0.08 in decreasing order.\nAnswer: 12.17, 0.08, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 228740 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 27 = 8*y - 11*y, -2*x + 3*x - 1356 = x - 339*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z - 7*z - 11*z + 369 - 5*z + 53 in the form o + m*z and give o.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3485*o**5 + 11*o**4 - 19*o**3 - 70*o**2 - 4875*o - 8?\nAnswer: -209100*o**2 + 264*o - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -723 + 723.1. What is the closest to 3 in z, 1\/863, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 708607 + 818359. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - -55. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (998\/(-22455))\/((-1)\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a + 431. Calculate the remainder when 172 is divided by d(-36).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*i - 197 - 339 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 - 343*h**4 - 6*h**3 + 3*h**2 - 4717203*h.\nAnswer: 20*h**3 - 4116*h**2 - 36*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 11*s - 10. Let y be r(-6). Solve i + 3*t = -10, 0*t + y = -4*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1903 + 1970. Let i(r) = -7*r - 6. Let v be i(6). Let o = v + l. Calculate the remainder when 31 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/4, 5, 1, 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -2302223130022?\nAnswer: -2302223130030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 111. Solve 0*y + 4 = 4*y + 4*q, x = -3*y - q + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, 55, -4 in descending order.\nAnswer: 55, -4, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9749 + -9748.9987237. Round p to five decimal places.\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 25.5. Let u = 2.4 + o. Let m be (-15 + (-340)\/(-24))*9\/15. What is the smallest value in -0.4, u, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 12*u**2 + 21*u - 12. What is t(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 102, 168?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -635ca5?\nAnswer: 635cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5537 + -5539. Let v = -0.5 + -0.28. Which is the nearest to v? (a) -5 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 0*t + 4 + 20*t**2 + 7*t.\nAnswer: 20*t**2 - t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 0.0243498?\nAnswer: -0.03408972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, 33, 3, -1, 4 in descending order.\nAnswer: 33, 12, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r**4 - 43*r**4 - 4 - 30*r**4 + 3 + 110*r**2 + 12*r**4 wrt r?\nAnswer: -1608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655931983 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -0.12, 1986, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 14 - (30 - 69).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.855 minus -2409635896?\nAnswer: 2409635896.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1435 + 22?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*3*(-1)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {j: 6, h: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1448140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 86\/16 + (-123)\/328.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 125 - 9. Let f = g - 12. What is the highest common divisor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + j**2 + 3)*(-j - j + 0*j) + (-451 + 451 - 104*j)*(-j + 2*j**2 + j) to p + q*j**2 + d*j + l*j**3 and give l.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -105, -251, -459, -729?\n\"Answer: -31*w**2 + 9*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1073.476 micrometers to millimeters.\nAnswer: 1.073476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 4)*(-2)\/6. What is the greatest common divisor of 13 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = 19*g + g + 45*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 202*t**2 - 287*t**2 + 12*t as s*t + y*t**2 + f and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 9:55 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -12386155?\nAnswer: 6193077.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 319, 665, 1149, 1771, 2531?\nAnswer: 3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14980, -29927, -44864, -59785, -74684?\n\"Answer: n**3 - n**2 - 14951*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -2.2 (b) -0.13 (c) 2 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 446107*x**2 + 1159238*x**2 + 335966*x**2 + 0.\nAnswer: 1941311*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/4*(-10)\/15. Suppose 0 = x - j*x + 4*u + 20, 2*x = u + 11. Solve -2 = r - h, 4*h = x*r + 3*h + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*1\/10)\/((-8)\/(-10)). Are 1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124, 133, 138, 139?\n\"Answer: -2*t**2 + 15*t + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-44 + 56 + 21 + -4 - 10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f**2 - 2*f + 194. Let w(g) = 325*g**2 - 55*g + 5335. Let j(x) = -55*o(x) + 2*w(x). Let m(q) = -45*q**2. Determine j(m(i)).\nAnswer: -20250*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -3161094\nAnswer: 12644376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v**2 + v**2 + (v + 0*v + 2*v)*(-2*v + 2 - 2 + (-3 - 2 + 3)*(2*v - 2*v - 3*v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 7*c + 6. Let r be (-6 + 2)*70\/(-40). Determine b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2*(-112)\/70. Is 3 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -11. What are the prime factors of 28\/b*6\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360504?\nAnswer: 2, 170063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1681 + 72?\nAnswer: -160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/4*(0 - -4). What is the remainder when 13 is divided by h\/(-7) - 4\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5909170 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1105 or 1320?\nAnswer: 1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -9. Let o = -4709 - -4715. Solve 8*f + o = a*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -124, -115, -102, -85, -64, -39?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132854650 by -475.\nAnswer: -279694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 4261?\nAnswer: -8522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63349158 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.19 and -28.\nAnswer: -33.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 280434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506648 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/3136 and -13\/1764?\nAnswer: 28224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/12 + 7*r**3\/6 + 3*r**2\/2 + r. Suppose 42 - 10 = 4*f. Let t be h(f). Is -5 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**3*r*s + 3*p**3*s - 2*p**3 - 2319*p*r*s + 23*p*s wrt r?\nAnswer: -2*p**3*s - 2319*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejw when three letters picked without replacement from {p: 1, w: 1, j: 2, k: 4, e: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -796*r - 1. Let d(w) = -20*w + 7. Determine d(q(l)).\nAnswer: 15920*l + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 6399.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, 1\/2120, -1, -9.2, -5.\nAnswer: -9.2, -5, -1, -0.3, 1\/2120, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1384985*m**2 + 932116 wrt m?\nAnswer: -2769970*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/22 + -133\/88. Which is the third smallest value? (a) -1\/6 (b) m (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, -4, -71382, 9 in descending order.\nAnswer: 9, 0.1, -0.2, -4, -71382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-6))\/((-672)\/504) + 68\/(-6)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.023 - 0.0242. Round h to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49690583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5345407777.\nAnswer: 277, 19297501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**4 - 5*m**4 + 2*m**2 + 3*m**4 + (5*m**2 - 3*m**2 + 0*m**2)*(0*m**2 + 0*m**2 - m**2) in the form b*m**4 + k + r*m**3 + l*m**2 + p*m and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-960)\/(-8))*(-6)\/4\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 946343888 and -165.\nAnswer: 946343723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q**3 + 8*q**2 + 8*q - 2. Let y = -26 - -27. Let r be 4 - y - 6\/(-3). Let c(w) = 7*w**3 + 5*w**2 + 5*w - 1. Determine r*n(v) - 8*c(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(((-2)\/(-4))\/(((-615)\/(-18))\/41))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*o - 2*g**2 + 24410*g*o - 1510*g + 2*o + 2 wrt o?\nAnswer: g**2 + 24410*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163059 and 183.\nAnswer: 9946599","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 8. Let a(y) = -13*y + 2. Let g(i) = 4*i - 1. Let w(l) = 3*a(l) + 8*g(l). Let c be w(1). Let x(r) = 3*r + 36. Let z be x(c). Determine f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -48 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2170 and 3165100?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2148017ug?\nAnswer: 0.0000002148017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12112122122 + -210?\nAnswer: -12112200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-36)*((-66)\/12)\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 27, 2\/9, -0.037, -3, 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*s**3 + 3 - 2 + 2*s + 56*s**3 + 12*s**3.\nAnswer: 112*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6274*q + 535*q + 8082*q.\nAnswer: 14891*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 8*c = -4*c. Let x(p) = 3*p + 630. Let b be x(c). Let w = 2425\/4 - b. Calculate the common denominator of 95\/2 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in -3\/7, -25, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxrn. Give prob of sequence rxn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/12 - b**3\/3 - b**2\/2 - 12*b - 19. Let a(p) be the first derivative of r(p). What is a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -10. Suppose -5*h - 3*n + 64 = 0, -4*h + 0*h + 53 = 3*n. Let v = h - t. Solve -4*c - 4*z - 17 = -3*z, 2*c + 21 = -v*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -2*i**3\/3 + i**2 - 2*i. Does 11 divide b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245901312.\nAnswer: 2, 3, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**3 - 2*b**2 + 2*b**2 - 8*b - 7*b**3 + 3*b**2 as a*b + m*b**2 + j*b**3 + z and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*u = -38*u + 1152. Let p be (-200)\/(-6)*(-3)\/2. Let n = p - u. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**3 - 2*m**3 + 3*m**3)*(-9 + 60 + 20 + 49) to g + a*m**3 + r*m + u*m**2 and give a.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/625441 or 0?\nAnswer: 2\/625441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 145 - 1087. Let b(p) = p**3 - 2*p**2 - 4*p + 1. Let c be b(4). Suppose c = -4*n + j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.29 + 0.21. Let r = h - -87.5. Let k = 110.2 - r. Which is the closest to -6? (a) 2\/11 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 - 5. Let l be (-9)\/27 + (-602)\/3. Let n = 191 + l. Let y(a) be the third derivative of a**6\/60 + a**3\/2 + a**2. What is n*y(v) - 6*i(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10088 divided by -776?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*h = 12390, 2*d + 20634 = 7*d + 3*h. Suppose 2*f - d = -5*s + 5*f, f = -5*s + 4125. What are the prime factors of s?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -2. Let d = f - 50. Let k = 7 - d. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-5)*(4 - -1). Let k(q) = q**2 - 3*q + 6. Give k(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Suppose 2 = 2*t - n. Are -1\/4 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 9) in base 3?\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 1 + -20 + 21 + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:44 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*u - 53 = -16 - 43 + 146, -4*u = 65*a + 1820 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, -0.0263, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829678?\nAnswer: 2, 107, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 + 120*k**4 - 639*k**3 + 918*k**2 = 0. What is k?\nAnswer: 0, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*q**3 - 2*q**2 - 212*q**3 + 5332*q - 10*q**3 + 65*q**3.\nAnswer: -280*q**3 - 2*q**2 + 5332*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6620 times 48.13\nAnswer: -318620.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*105\/(-14)*148\/111?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9800 and 12712?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 4*j**2 + 4*j + 2. Let x(d) = -d + 2. Let z be x(2). Let y(v) = -8*v - 35. Let m be y(-5). Let l = m + z. Calculate s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.4, -5, 0.5, -51, -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(1088))**2 - sqrt(1088)) + (-5 + 3*(sqrt(425) - sqrt(17)))**2.\nAnswer: -112*sqrt(17) + 3562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8544 and 534?\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + 16 - (-41 - -66).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744135 at most as big as 2744170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -341 - -757?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:50 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/22688 and 97\/13936?\nAnswer: 19761248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/10 + 26\/(-65)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 5*i**2 + 5. Determine p(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(104) + (sqrt(104) + 2*sqrt(104))*-2)*5)\/(sqrt(32) + sqrt(128) + sqrt(16)\/sqrt(2)*4).\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 4*b + 3. Let y be u(4). Let s be (708\/8)\/(y\/4). Let j = -76 + s. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1596373.\nAnswer: -1\/1596373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + (-183)\/(-12). Suppose -3 = i*o - 18*o. Let r be 12 - (o - -2 - 1). Calculate the highest common divisor of 110 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -0.3510245.\nAnswer: 4.914343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(((-6)\/4)\/(-3))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*p + 2*f + 23, -5*f = 25. Let k = -1.97 + -0.03. Let s be (27\/(-24))\/((1620\/24)\/45). What is the fourth smallest value in s, p, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -3*f**7\/175 + f**6\/100 + 13*f**5\/75 - 7*f**4\/15 + 8*f**3\/15 - 8*f**2. Find s, given that r(s) = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6c (base 16) to base 14\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d**2 + d**2 - 2*d**2. Let s(r) be the third derivative of r**6\/720 + r**4\/24 + 3*r**2. Let u(j) be the second derivative of s(j). Give u(z(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21 - -21)*(-2)\/6. Which is smaller: -10\/9 or k?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 10 (c) -2 (d) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 8, j: 1, c: 5, s: 3}. Give prob of picking 1 o and 1 a.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 218 and -339.\nAnswer: -73902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6161961*s**2 - 860*s - 1023 wrt s.\nAnswer: 12323922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3\/7 + 3*g**2\/7 + 12*g\/7 - 12\/7 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - 83369\/26)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 - -260\nAnswer: 258.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -10. Let o be k\/(-21) - (-40)\/42. Put -3, 0.5, o in decreasing order.\nAnswer: 0.5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/27)\/(-11))\/(1\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13795.49906 - -13801.5. Let p = c - 6. What is p rounded to 5 dps?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -15*i + 14*i. Suppose 5*a - 31 = 7*u - 10*u, -i*a - 5*u + 1 = 0. Solve v = -3*s - a, -2*v + 5*s = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/13))\/(z\/z**(-8)))\/(z*z*z*z**15*z*z*z\/(z\/(z*(z**12*z)\/z))) assuming z is positive.\nAnswer: z**(-532\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -929c1a (base 14) to base 10.\nAnswer: -4944320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -872*t**2 - 406*t**2 - 105*t**2 - 181*t**2 to the form g*t + m + a*t**2 and give a.\nAnswer: -1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2509 + -2501. Which is greater: j or 94\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2. Let g(b) = -22*b - 947. Give j(g(v)).\nAnswer: 2420*v**2 + 208340*v + 4484045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20 and 9\/590.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 26 = -4*u, -2*u - 18 = 2*f - 6. Let d be 49\/(-1 - 5\/u). Let t = d - 86. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3302457507, -3302457506, -3302457505, -3302457504, -3302457503?\nAnswer: -3302457502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11652 - 128220\/11. What is the common denominator of -36\/53 and r?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 0.11. What is the closest to -6 in 3, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-583)\/33 + (-245)\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1763548 + 5?\nAnswer: -1763543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -655, -5193, -17507, -41485, -81015, -139985, -222283?\n\"Answer: -648*h**3 - 2*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 32 + 28. Sort k, 8, 4, -2 in increasing order.\nAnswer: k, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*b**4*i**3 + 2*b**2*i**3 + 6*b*i**2 + 3*i**3 - 1 wrt b?\nAnswer: 528*b**2*i**3 + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 + -428 - (2 + -5 + -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1087, 42, 0.2, -1, -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-336)*63\/18. Let i = -0.0019 - 0.02. Is i at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 382960 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2149999*s - 2. Let c be 2 + (-2 + 2)\/2. Let a be y(c). What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -70*u - 10. What is z(1)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*c - 34*c - 14*c - 19*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*t + 9. Suppose -4*p = -4*y - 44, 0*p + 4*y = -5*p + 37. Is t\/p - 11360\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3913 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 21*u**4 + 2*u**3 - 254*u**2 + 3*u + 3. Let f(n) = -n**4 - n**3 + n + 1. Let q(o) = 3*f(o) - z(o). Find the third derivative of q(h) wrt h.\nAnswer: -576*h - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from yylpwp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 - (2 + -14 + (-28 - 0))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 53 = -2*w. Let b = -26 + w. Calculate the remainder when 40 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7394 from 0.24536.\nAnswer: 7394.24536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - b**4 + 3*b**4)*(1 + 1 + 0) + b**4 + 4*b**4 - b**4 + (-3*b**3 + 4*b**3 - 2*b**3)*(12 - 3*b - 12) + 0 + 0 + b**4.\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-5) - 64\/480. Let r(b) be the first derivative of 0*b**2 + 0*b - y*b**3 - 3\/4*b**4 - 7. What is the third derivative of r(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237175, -473871, -710567?\nAnswer: -947263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -19, -24, -31, -40, -51, -64?\n\"Answer: -z**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -40.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 - 2*r + 12. Let j be p(-4). Let z(u) = u + 5. Let f(q) = -4. Give j*z(c) + 5*f(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 8*m - 16 = 0. Let u(c) = -3 + 4 + 3*c**2 + 8 + m*c - 1. Let t be u(-7). Calculate the greatest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(165))\/sqrt(11))\/((sqrt(108) + sqrt(12))\/sqrt(4)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 140?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 480*n**2 - 64*n. Let k(q) = -37*q**2 + 5*q. Determine 5*f(m) + 64*k(m).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 13 + 2 - (11 - (-27 + -5)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -231170564 plus 0.34?\nAnswer: -231170563.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/60 - j**4\/8 + j**3\/6 - 30*j**2. Let c be u(-2). Differentiate -14 - 2*a**3 + 4 - 18*a**c wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608892.\nAnswer: 2, 402223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596745.\nAnswer: 3, 5, 89, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1918*b + 277 - 1581 - 2532 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*r - 279*r - 116*r - 186*r.\nAnswer: -518*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267598869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 25*w + 65. Determine m(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -56d055?\nAnswer: -56d051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1922*w - 145*w + 4 - 154*w as g + i*w and give i.\nAnswer: -2221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-18)*(-2)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20470000 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641306 is divided by 6610?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -29*i**3 + 441*i**2 + 7*i + 21. Let w(n) = -15*n**3 + 220*n**2 + 3*n + 9. Let h(t) = 3*s(t) - 7*w(t). What is the third derivative of h(u) wrt u?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 29. Let v(i) = -8399*i**3 + 5*i**2 + i + 5. Let l be v(x). Suppose -6*r + l = -3*r. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 + 58409760*u - 170585003162880 = 0. Calculate u.\nAnswer: 5840976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/85? (a) -3 (b) -0.1 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9199710 and 15795.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (66\/(-9))\/((-2)\/9). Suppose -138 = -5*h - g. What is the remainder when 37 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-4))\/((-228)\/(-2888)))\/((-6)\/12).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -4*u + 2*u - 4*l, -470 = -3*u - 2*l. What is the greatest common divisor of u and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spp when three letters picked without replacement from pppsspssssppspspssps?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897 = 87292*r - 87323*r - z, r - 31 = z for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 2748787.\nAnswer: 2748772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 + -3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.6 + 58. Let b = -246864.39895 - -246859. Let m = b + i. Round m to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29520063407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*y)*(3*y**3 - y**3 - y**3) + 23*y**4 - 8 + 8 + 6370*y**3 + 92*y**4 - 6370*y**3 to the form h*y + g*y**4 + s*y**2 + q*y**3 + u and give g.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -383002 + 674?\nAnswer: -382328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*q - 10, 5*f - 4*q + 2*q - 18 = 0. List the prime factors of 410\/f*(-16)\/(-10).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-5)\/10)\/(2\/4). Find the common denominator of (-516)\/396 + (0\/g)\/(-2) and 107\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -19. What is the third derivative of 10*l**2 - 5*l**4 + 0*l**v + 0*l**2 wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77.75 + 78. Let u = c - 0.25172. What is u rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3770 and 60309270.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11009351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 363440, 363428, 363416?\n\"Answer: -12*g + 363452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -25, 1.\nAnswer: -25, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.842 + 3.16075. What is q rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 1)*8\/(-12). Let f be ((-2)\/z)\/((-22)\/12). Let w = 29.4 + -29. What is the nearest to -2\/7 in w, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*s - 18798 = -135*s - 3*l, 16 = -2*l. Is s a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -72.3329 (b) -7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 + 5 = 0. Suppose 2*a - n = -10. Let w be (a - -7) + 0 + -1. Solve 3*y = w*k + 17, -3 - 5 = 3*k - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1410)\/47*(-4)\/48. Let q be ((-6)\/(-15))\/((-104)\/65). What is the closest to 2\/5 in q, x, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 51, 29, 25, 45?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - c**2 - 4*c**2 + 2*c**2 + 0*c**2 - 4*c**2 + (2*c - 2 + 2)*(3*c - 2*c - 3*c) - 3*c**2 - 3*c**2 - c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbwwwwubb. What is prob of picking 3 w?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 11, 4 in decreasing order.\nAnswer: 11, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (15 + -16 + 2 + (-6 - -1))) + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 270, -2, -92428 in ascending order.\nAnswer: -92428, -2, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 - 1)*(3*o + 2*o - 3*o) + (0 + 0 - 1)*(3*o + 3*o - 5*o)*(12 - 6 - 13)*(-9 + 1 - 15) in the form u + l*o and give l.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57447)\/(-11293) - (0\/(-2) + 4\/46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708 and 79788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.037, 14528, -0.2?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, c: 12}. Give prob of picking 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -19102688.\nAnswer: -19102686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7839 and 21306.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 5\/7 (b) 2 (c) -2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**2 + 4 - 4 - 3 - u.\nAnswer: 16*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4 - -9.4. Which is the closest to 0.1? (a) 5 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11150497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, 4\/19, -279, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u + 56000958 - 7454958. Round u to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 4, -3, -2, 0, 9 in descending order.\nAnswer: 9, 4, 3, 0, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39 - ((1 + (-5 - -4) - -5) + -37 + 40)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 57 + 23 + (-2 + 3 - 2)*(-1 + 2 - 2))*(u - 2*u**3 - u).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 0*t**3 + 0*t**3)*(25 - 18*t - 25).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79\/5, -1, 2\/7, 968.\nAnswer: -79\/5, -1, 2\/7, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21199, -21214, -21255, -21334, -21463?\n\"Answer: -2*y**3 - y**2 + 2*y - 21198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 32817.\nAnswer: 98451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**5 - 76*g**4 + 492*g**3 - 1220*g**2 + 800*g = 0.\nAnswer: 0, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/10)\/n))**(-38)\/((n*n**16*n)\/(n\/n**(-1\/14))) assuming n is positive.\nAnswer: n**(-6771\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 60 = -56*b + 16*b. Sort 0.09, 6, b, -0.2 in ascending order.\nAnswer: b, -0.2, 0.09, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 1258925?\nAnswer: 1258924.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1671384 divided by 69641?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 9, r: 4}. What is prob of sequence aa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -57. Suppose -3*b + 2*p = -p + q, -b = 3*p - 9. Solve b = -3*u - 6 - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:37 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 8*g**2 + 2. Let z be q(8). Solve -4 - z = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -0.29, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 540\/(-48) - -10 - 267\/(-12)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 22 = 2*x + 288, 0 = -4*x + 2*c - 668. Let j = -136 - x. Calculate the remainder when 144 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*o - o. What are the prime factors of 3 + 117\/o + -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5410*v - 162279. Determine z(30).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 5*t - 7, -4*d + 7 - 21 = -5*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3 - 14 - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132902864 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -217 - 229 + 72*w**3 + 3*w + 448. What is i(-1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -395*i + 1086 - 77 + 2151 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-9 + 6) - -4. Let d be (-20)\/(-15) + (-3)\/(18\/f). Solve 7*l + 7*l + 70 = d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -67, -4\/7, -5, -3?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9095, 36422, 81953, 145688, 227627, 327770?\n\"Answer: 9102*v**2 + 21*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 842\/(-12) - 1\/(-6). Let s = 15 - z. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 610*i - 6. Let v(b) = -18*b - 1. Give m(s) - 9*v(s).\nAnswer: 772*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**28\/j)\/j)**12*(j**11)**(2\/33))**(24\/5) assuming j is positive.\nAnswer: j**1616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2748919 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 169594*l - 7190531209.\nAnswer: -(l - 84797)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/16*(-2 + 0). What is the units digit of 1*17 - (-8 + d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -90, -136, -182, -228, -274?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -5, -7, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.908 rounded to 2 decimal places?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75007002 by 3.\nAnswer: -25002334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**3 + 4*o**2 - 11*o + 3. Let t(w) = w**3 + 1 + w**2 + 5*w - 10*w + 4*w. Let x(v) = i(v) - 6*t(v). Does 9 divide x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(7 - (1 + 2)). Let h be (j\/(-20))\/(1\/(-5)). Determine m so that 61*m**3 - 75*m**h + 0*m**2 - m**3 - 12*m**2 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(385)*2)\/(sqrt(112)*-1))\/(-4*sqrt(704)*-5))**2.\nAnswer: 5\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19514, 19497, 19478, 19457, 19434, 19409?\n\"Answer: -n**2 - 14*n + 19529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*q\/(q\/((q*q\/(q*q\/q**(-2\/13)*q))\/q)*q)*q**(-2\/17)*q*q**9 assuming q is positive.\nAnswer: q**(1929\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + 5 + (5*(-6*-2*sqrt(72) + 0)*-1)**2.\nAnswer: 259206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 13. Let g be c(-15). Suppose 3 = -3*r - 4*f, -2*f - 10 = -g*r + 2. Let m(i) = -i**3 + 3*i**2 - i - 4. Calculate m(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 7*n**2 + 0*n**2 + (2 + 2*n - 2)*(5 + n - 5) - 7*n**2 + 14 - 14.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 181*j**4 + 181*j**4 + 20*j + 45*j**5 wrt j?\nAnswer: 900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1100) + -2.\nAnswer: -1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66735017 divided by -6.\nAnswer: 66735017\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1470*d**2 + 4 + 8 + 19.\nAnswer: -1470*d**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 1\/2*t**3 + 37*t + 1\/4*t**4 + 0 + 0*t**2. Let p(d) = -6*d**2 - 5*d. Determine 3*p(v) + 5*y(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(7))**2*-2*-1 - ((sqrt(112) + 0)**2 + sqrt(112) + 2))*1.\nAnswer: -100 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 - 2*y**3 - 5*y**3)*(5*y**2 + y**2 + 0*y**2 + (62 - 7*y - 62)*(-y + 5*y - 3*y)).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 8568.\nAnswer: 111384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9180 rounded to the nearest one hundred?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0, 14, -5 in descending order.\nAnswer: 14, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.7 in -0.859, 1\/3, 33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3321 and 216972.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 + -13 + -10 + 2. Let y(g) = -2*g + 1. Give y(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p - 34. Let o be u(-6). Let w = 34 - o. What is the remainder when w is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -4*c**2 + 5*c**2 + 10 - 28. Let j(h) = 10*h**2. What is a(j(k))?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42469263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6108100 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 39. Solve -3*k - 14 = p + u, -p - 3 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5 - 1 + 4 - 7. Let m(p) = -p**2 + p + 4. What is -m(v) + 6*y(v)?\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*q - 81*r + 7 = -80*r, 3*q + 3 = -3*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/24 - a**3\/6 - 3*a**2. Let m be o(-1). Suppose -7*l + 2*l + 85 = m. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355 and 3337.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekee when four letters picked without replacement from ekekekekekekekkeekk.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtfvtkfvk. What is prob of picking 1 k and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-17)*506177\/99. Let s = k - 9930\/11. Let f = s - -2\/17. Which is the biggest value? (a) f (b) 2\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 17*d**4\/8 - 5*d**2 + 12. Let p(t) be the second derivative of t**3\/6 + 14*t. Give j(p(q)).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwqq when four letters picked without replacement from {p: 1, u: 6, m: 4, w: 3, q: 2}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 71 = -13. Let s = g + -17. Solve s = -4*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 5*v)*(-26057*v + 26057*v + 346*v**2)*(0*v + 0*v + 3*v).\nAnswer: -5190*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9177 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/30 + 16*f**2 + f. Let s(d) = 68*d**2. What is o(s(n))?\nAnswer: 9248*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 48*t - 131. Is g(44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 + 7*r**2 - r**2 - r**2. Let y(i) = 12*i. Give p(y(v)).\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 40 = 5*y, -x - 7 = 3*y + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -103, -103, -101, -97, -91, -83, -73?\n\"Answer: i**2 - 3*i - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/4))\/o)**(-38))**46*(o**1\/o)**36*o**(1\/4)\/o*o*o*o**(-7)*o assuming o is positive.\nAnswer: o**(-1767\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 9*h + 11. Let v = 1434 + -1424. What is t(v)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11260 is divided by 1931.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24526 - 10961. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 2*g**4 - 13*g**2\/2 + 15. What is the second derivative of f(k) wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 4. Let w be o(3). Suppose c = -q + 1, -c - 2*q - 18 = -3*c. Suppose 4*g = -20, -c*l + 3 = -g - 2. Solve 5*t - w + 2 = l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 585482494*1\nAnswer: 585482494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s - 8. Let w = 1 - 2. Let g(d) = -9 + 11*d + 14 - 3*d - 6*d - 6. Let z(f) = w*q(f) - 5*g(f). Determine z(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-63)\/(-27))\/((-2)\/(-66))*1107\/3. What is p rounded to the nearest 100?\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = f + m - 29, -4*f + 2*m + 62 = 0. Suppose 5*s - 15 = 0, 6*s = -x + s + f. What is the second derivative of -19*w**x + 18*w - 1259 + 1259 wrt w?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12163 (base 7) in base 5?\nAnswer: 100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.50557 nanometers in kilometers?\nAnswer: 0.00000000004850557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408466002 a multiple of 8529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0, -0.1, -16, 2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684 = -2*u + 174. Let n = u - -251. Suppose 3*x + 2*x - 3 = -2*i, -3*x - 19 = -4*i. Which is the second smallest value? (a) -0.01 (b) -2 (c) i (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 3*k**2\/2 - 31. Let b(c) = -c**2. What is h(b(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 68184?\nAnswer: 68184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/22*8\/2. Suppose -2*u - 2 = -4*g, -2*u - 57 = t*g - 67. Solve -2*v = 2, 0 = l - 3*v - g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 275 = -4*h, 0 = -6*h - 289*q + 291*q + 390 + 10 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43726, -174948, -393630, -699772, -1093374, -1574436?\nAnswer: -2142958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2 + sqrt(208) + sqrt(208) - 1*sqrt(208)*-3) + (sqrt(65) - (4*-1*sqrt(65) + sqrt(65) - sqrt(65)))\/(sqrt(125)*5) + 2)**2.\nAnswer: 132613\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 26, -2\/7, 10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161236 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m + 16 = 0. Suppose 20 = -b - 4*b, 0 = -s + b + 123. Let f = s - m. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, 4, 16, 194, 2 in descending order.\nAnswer: 194, 16, 5, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -5 + -9 + 5 - (-35 + 81)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -52*q**2 - 2*q. Give k(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 9*l. Suppose l = 3*t + 3*t - 114. Suppose -6*w + 2*w = -z - 21, 5*w + 5 = -5*z. Solve 0 = w*x - t + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 + 23*t)*(-2*t + 4 - 4) to h*t**2 + g*t + w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18821 (base 16) to base 7.\nAnswer: -565445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 17*c**2 + 9*c - 14. Let a(w) = -w**3 + 9*w + 8*w**2 - 5*w - 2 - 5. Let k(h) = -7*a(h) + 3*i(h). Let o be k(5). Solve 2*t = -o*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-2)*(-114)\/6783.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {o: 4, w: 1, e: 1, u: 4, j: 3, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjwwwjjjjjwjwjj. What is prob of sequence jjj?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -2) + -56*3\/(-87). Suppose 7*u = 2*u - 5. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17687.4078*-0.07\nAnswer: 1238.118546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 109.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x + 340*x - 449*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 2, f: 1, j: 1}. Give prob of sequence qqg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 175\/(-3)*(-2)\/(-5). Let s = j - -484\/21. Which is the closest to s? (a) 2 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153735 and -1.74894?\nAnswer: 153736.74894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**4 + 2*j**3 + 19. Let l(z) = 4*z**4 - z**3 - 13. Let m(v) = -5*i(v) - 7*l(v). Find the first derivative of m(q) wrt q.\nAnswer: 8*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 10810?\nAnswer: -1\/5405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + 197 + -3 + 6 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4195856 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w + 0*w - w)*(3*w + 4*w - 6*w) - 2*w**2 + 2*w - 2*w)*(-w + 0*w + 0*w) + (61*w + 2*w + 9*w)*(-w**2 + 3*w**2 - w**2).\nAnswer: 75*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1527591 centuries to months.\nAnswer: 183.31092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-24)\/20)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {g: 4, r: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -5 (b) 2 (c) -5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 3)\/(6 + -8). Solve 0 = -l*i + 3 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -539, -708, -917, -1178, -1503, -1904?\nAnswer: -2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022286876 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 152?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92850 or -93616?\nAnswer: -92850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*p**5 + 22*p**2 - 22*p**2 + (5*p**3 - 6 + 6)*(2*p**2 + p**2 - p**2) + 0*p**5 - 7*p**5 - p**5.\nAnswer: -15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/33 in -1833, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 33. Let r(z) = -z**3 + z**2 + 2. Let n be r(0). Suppose n*p + p - o = 0. What is the remainder when 20 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.56 + -44. Let v = i - -2.64. Let n = 2.9 - 3. Which is the closest to -0.2? (a) -0.5 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*k - 73*k - 8 - 41*k - 38*k.\nAnswer: -k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*q = 578*q - 2295. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 268\/30)\/(5\/(-75)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3227967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1220 + 1011?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 936, 937, 938, 939, 940?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -482872 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.3, -0.09, 66?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 8:02 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/12 + 16*i**2. Let w(p) = -p. Calculate w(q(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9932725799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -27*l - 26. Let k(b) = -14*b - 17. Give -9*k(o) + 5*v(o).\nAnswer: -9*o + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1 + 1 - j + 2. Let s be k(-3). Suppose -3*f + 23 = -s. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5 + 21, -2*z + 14642 = -3*n. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12*r = 11*r - 316978, 2*m - 126782 = 5*r. Suppose 3*b = -2*o + 38042, 7*o = 5*b + 3*o - m. Round b to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**3 - 5*f**2 + 5*f - 5. Let m(j) = 0 - j + 1 + j**3 + j**2 + 0*j**3. What is -5*m(i) - s(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o + 20. Let r = 16 - 17. Let n(b) = -b + 2. Let x(k) = r*d(k) + 6*n(k). Give x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 6*l + 4. Let m be v(-3). Suppose 1 = 3*d + 4. Put m, 3, d in decreasing order.\nAnswer: 3, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 - 2*o + 3. Let a be (-3 - -2)\/((-3)\/39). Suppose -6*q + 4*h = -11*q + a, -h + 2 = 0. What is the remainder when f(q) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 35, -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 66. Let c(r) = -r - 13. Let a(w) = 16*c(w) + 3*g(w). Let b be a(7). Let q(t) = t**3 - 2*t**2 - 4*t - 2. Is q(b) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -13 + 52 - 48?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Let y(f) = -2*f + 1. Calculate c(s) + y(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*g**2*k**2 - 8*g**2*k*q - 3*g**2*k - 60207*g*k**2*q + 8*g*k*q + 2*g*q + 3*k**2 - 6*k*q + 5*k wrt k?\nAnswer: 68*g**2 - 120414*g*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2543 is divided by 102.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27185 (base 12) in base 16?\nAnswer: d235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*j**2*u**2 - 104137*j**2*u + 29*j**2 + 1956448*j with respect to u.\nAnswer: 40*j**2*u - 104137*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1, -64696, -5 in decreasing order.\nAnswer: 2, 1, -4, -5, -64696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/8208 and 107\/9576.\nAnswer: 57456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*u + 20 = 0, -34097 = -2*i - 2*u - 34087 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 12*s - 15. Determine q(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 21*d - 39. Let i be s(19). Let f be i - 0 - (1\/(-2))\/1. Which is the smallest value? (a) f (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**5 + s**5 + 0*s**5 + (-5*s**3 + 4*s**3 + 2*s**3)*(2*s**2 + 23*s**2 + 5*s**2) + 2*s**5 - 4*s**5 + 3*s**5.\nAnswer: 28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -f - 5*d + 11, 3*f - 17 = -4*d. Let z be 0 + (4*6)\/(-2). Let o = 8 + z. Sort 2, o, f in descending order.\nAnswer: 2, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -103*k + 1. Let b be q(1). Let o be 6\/(-15) + b\/(-5). Suppose 3*s + o = 5*i + s, 4*i - 4*s - 28 = 0. Sort i, 4, 1.\nAnswer: 1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6382805.\nAnswer: 5, 11, 13, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 2. Let g be n(-5). Suppose 0*b + g = -b. Let k = 45 + b. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1407238\/51 or -27592?\nAnswer: -1407238\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/90*(-6)\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -o - 25, -5*p - 79 - 25 = 2*o. Is o <= -1174\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222094 + -625788?\nAnswer: -847882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j - 12. Let s be i(-4). Suppose -188 = -5*c - s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210 + -20122?\nAnswer: -15512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Which is the second smallest value? (a) -1\/3 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + ((-105)\/(-36) - 3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1 + (-1 + 2 + 0)*(-4 - 1 + 3) - 2 + 0 + 1 + (6 - 4 - 4)*(-3 + 5 - 3) + 3 + 0 - 1)*(-9*d - 6*d - 9*d).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1413, -1412, -1411, -1410, -1409?\n\"Answer: q - 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, 2\/9, -2\/9, 134, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 2 - 42 = 0. Let k(h) = h**2 - 1 + 8 - 9*h - 8*h + 10*h - o. Let c(x) = x + 5. Let a be c(0). Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35 - -39)*(-3)\/(-4). Let k = -4 - -4. Let a(v) = v**3 - 5*v**2 - v + 7. Let b be a(5). Sort c, b, k in increasing order.\nAnswer: k, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f = -18*f. Suppose f = 4*g - 26 + 2. What is the greatest common divisor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60921 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 (base 10) in base 2?\nAnswer: -10110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in -1.3, -30, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = 3*w - 5076. Let p = w - -2698. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.62 times -68899\nAnswer: 42717.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -97\nAnswer: -37\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 1\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21 = -5. Let l(c) = 45*c**3 - 44*c**3 + 2*c - 3 - 9 - 5*c**2 + 16. Give l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 2*w**2 - 2*w. Let z be s(2). Is 4 a factor of (-50)\/(-6) + 4\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, -3.8, -0.3 in descending order.\nAnswer: 0.1, -0.3, -3, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f + 1. Let k(w) = w**3 + 2*w**2. Let b(q) = -6*q**3 + 6*q**2 + 5*q - 5. Let s(z) = b(z) - 3*k(z). Determine -s(g) - 5*x(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10585798*y. Let u(t) = -2*t. Give u(r(p)).\nAnswer: -21171596*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5563, -5561, -5559, -5557, -5555?\nAnswer: -5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 2*q**2 - 1. Let v(b) = 60*b**3 - 42*b**2 + 72. Calculate -22*s(c) + v(c).\nAnswer: 16*c**3 + 2*c**2 + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -30*t - 15. Suppose -6 = 4*q + 2*c, 12 = -50*q + 46*q + 4*c. What is d(q)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let c(m) = -m**2 + 28*m - 26. Let u be c(27). Determine j(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + 44\/10. Find the third derivative of -3*s**2 + 0*s**n + s**4 + s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153017794 is divided by 229.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/(-144))\/((2\/(-30))\/(78\/(-195)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -37 - 51 - 7*o + o**2 + 100. Let b be n(-6). Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/6*(-6)\/(-60)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26f - -1?\nAnswer: -26e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000034078 to 7 decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((10 - -9 - 14) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-10)*300\/1485.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941913162.\nAnswer: 2, 7, 17, 61, 181, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 490*a**2 + 437076*a - 3568.\nAnswer: 2*(a + 892)*(245*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:01 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0033*-0.37\nAnswer: -0.001221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130836, -130859, -130894, -130947, -131024, -131131, -131274?\nAnswer: -131459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:03 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3 - 76*q**2 + 230*q + 1428 = 0.\nAnswer: -3, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-9)*27\/9. Let f be ((-18)\/8)\/(1\/(-4)). What is the second derivative of -n*d**5 + f*d**5 - 2*d - 5*d**5 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 563466539 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 542 + -545. Which is the biggest value? (a) w (b) -21\/8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-26575254\nAnswer: -26575253.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*(10 + -6). Suppose -7*l + h = -2*l. Suppose 11 = 3*j - y, 5*j - l*j = -5*y - 1. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*g + 3207*g - 545*g = -2589*g + 132020 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:38 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 11*f - 539. What is p(-17)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -163154 divided by -2813\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.62 - 10.36. Round v to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 11 + 13 - (2 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m**3 + 17*m + 9*m**3 - 72*m**3 - 13*m.\nAnswer: -35*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-3)*(-1)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -59, 19\/94, 0.5?\nAnswer: 19\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/19))**(1\/16)*m\/m**11*m\/(m**(-1\/2)*m) assuming m is positive.\nAnswer: m**(-2889\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*h + 11 + 7, -16 = -4*h - 2*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 3*q**2 - 2*q**3 + 2*q - 4 - 6*q in the form h + i*q + k*q**2 + s*q**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n + 6. Is -11\/6 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 34*u - 1223. What is the second derivative of -2 + u*g**4 - 226*g**4 - 55*g - 94*g**4 wrt g?\nAnswer: -3408*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6561 + 9448. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9954, -20609, -31264, -41919?\nAnswer: -52574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 79 - 5\/2*o**2 - 4\/3*o**3 - 9*o. Let g(s) = 5*s**2 + 6*s + 10. What is 5*g(a) + 6*h(a)?\nAnswer: a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.871732 rounded to 0 dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let i(j) be the second derivative of 50*j**3\/3 + 370*j. What is m(i(q))?\nAnswer: -100*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162*c**2 + 627*c**2 + 590*c**2 - 2*c**2 + 3*c**2 - 2*c**2 + (c + c + 0*c)*(2*c + c - c).\nAnswer: 1058*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -527 + 1264. Let u = -652 + c. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.2, -6, -19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8))**(-36) assuming r is positive.\nAnswer: r**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1634.102 - 1634. Let v = -14.938 - -15. Let p = c - v. Sort p, 4, -0.3, 3\/7.\nAnswer: -0.3, p, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 7*b**2 - 7*b + 10. Let q be ((-12)\/3)\/(1\/2). Let f be g(q). What is the derivative of 0 + 2 - 5 + f*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*b + 11. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 1, z: 4}. Give prob of sequence zzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = 0, v - 5*c + 55 = 4*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 155. What is the greatest common factor of 440 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 30*m - 101. Calculate the remainder when w(21) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 337002 + 451898. Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -2*b - 88. Let t = b - 61. Suppose -t*f + 3*f = -16. Solve 0 = 4*y - f + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1124*x + 3. Let v(l) = -1122*l - 4. Determine -2*v(d) - 3*z(d).\nAnswer: -1128*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.6. Let t = -159\/2 + 81. Which is the biggest value? (a) t (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539854.7 microseconds in nanoseconds?\nAnswer: 539854700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(-7))**46*(t**7\/(t**9\/t))**(1\/6) assuming t is positive.\nAnswer: t**(429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23133 + -3121300?\nAnswer: -3211033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*t - 7, 6*k - 5 = k. Suppose 0 = -y - 5*q, -t*y = q + 2*q - 7. Sort -3, 2, y in ascending order.\nAnswer: -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -647.4 - -646.3517. What is r rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 9*r - 18399, 8*l - 6*l - 12250 = 2*r. List the prime factors of l.\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose 4*q - 6 = u. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = 4. Let s(n) = -n**2 + 5*n + 2. Let r be s(4). Suppose r*q + 48 = o*q. What is the remainder when 71 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-204)*3*(-18)\/12\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - -1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*9\/6. Let u be (-6)\/(-4 - -1) + x. Let d = 5.04 - 0.04. Which is the third smallest value? (a) u (b) d (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 5) to base 2.\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 7 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4018 and -367.\nAnswer: 1474606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -31. Suppose -4*b - c = b. Let z(r) = -2*r**3 - 3*r**2 + 2*r + 4. Let h be z(b). What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 23*i - 18*i + 135, -23*t = 2*i - 646. Suppose -244 = -0*f - 4*f. Let x = 114 - f. Calculate the remainder when x is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**12*r**(-10\/7) assuming r is positive.\nAnswer: r**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 0.4 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(1900) + -4 + sqrt(1900) + sqrt(1900) - (-5 + sqrt(1900) + -1*sqrt(1900) + sqrt(1900)))*3 + 3)**2*3*5.\nAnswer: -5400*sqrt(19) + 257040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19526.57 weeks?\nAnswer: 11809669536000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15*a**2 - 16*a - 13. Let s(u) = 15*u**2 + 16*u + 12. Let z(g) = 6*s(g) + 5*x(g). Let l be z(7). Suppose 5*k - 3799 + l = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -425 + -41?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4 + 308*c**3 - 912*c**2 + 908*c - 302 = 0.\nAnswer: 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 13*t**4\/24 - 35248*t**2. Suppose 2*u = -3*u + 5. Determine n(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and -3\/1502.\nAnswer: 7510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 49, 4, 5, -3 in decreasing order.\nAnswer: 49, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:53 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -736201 = -736200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5 = 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -41. Suppose -g*m + 24 = 2*m. Solve k - 20 = -5*n, 3*k + 16 = m*n - 0*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91592667 to the nearest integer?\nAnswer: 9570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4\/2 - 4*y**3 - 3*y**2\/2.\nAnswer: -y**2*(y + 1)*(5*y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86485, 345940, 778365, 1383760, 2162125?\nAnswer: 3113460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-271\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -2669.\nAnswer: -266.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110100110100 (base 2) to base 6.\nAnswer: 1043112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8160 and 1536?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 3:48 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 0*d + 1 - 5 + 3*d - d**3 - 4*d**2. Let o be w(-5). Suppose -5*x + 2 = -13. Solve -4*y + 27 = -x*m, 5*m - 2*m + o = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of (28\/(-112) + (-2)\/8)\/(3\/(-17040))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 955, 1708, 2257, 2602, 2743, 2680?\n\"Answer: -102*q**2 + 1059*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/14)\/2)\/((-170)\/119)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388480 - 1085223 = -7*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -13\/35 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b + 4*d, -3*b - 5*d = 0. Let u(q) = -q**2 + 2*q + 74. Let t be u(b). Let h = t + -39. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**4\/8 + y**3\/2 + 310*y**2. Give f(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 248 - 536 = 4*u, -2*f = -3*u - 593. Let o = u - -341. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008648 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 6, x: 1, h: 2}. What is prob of sequence ooh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + 35. Suppose 7*c - 2*c = g. What is the tens digit of (-2)\/8*c*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 188021, 188043, 188075, 188117?\n\"Answer: 5*b**2 + 7*b + 188009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3\/7 (c) -5 (d) 1\/33 (e) 4\/5 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -41. Let o be 2 + (-7 - h) - (5 - 25). Solve 7*q - 20 = o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 973*s**2*v - 116*s**2 - 45*s - 18*v + 2 with respect to v.\nAnswer: 973*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38744361065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 19. Let z(v) = v**3 + 7*v**2 + 5. Let n be z(-7). Suppose -n*q + 125 = 35. Calculate the greatest common factor of r and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71 + 61 - (2 + 3)) + (1 - -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698 is divided by 275.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10133481 divided by -3\nAnswer: -3377827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*z + 2 - 9, p = z + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26043.940894 + -26044. Let k = m - -0.059. What is k rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by 499?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + -4 - (1 - -7 - (152 - 137)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 1\/11, 1\/3, -22\/3, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + 72. Calculate the highest common factor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39589383 by 13196461.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1700654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247456177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10767*k**2 - 53740*k + 2. Determine j(5).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u - 13. Is m(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435409 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7 or -1262?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/5, -2, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 7*p**2 - 2*p - 10. Let o be m(-7). Factor -o*x**4 + 6*x**3 + x**5 - 6*x**3 + 6*x**3 + x - 4*x**2.\nAnswer: x*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcpj when four letters picked without replacement from xpwtcjp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/20 and -57\/145804.\nAnswer: 729020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 73678 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*1*sqrt(117).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + b - 2*b)*(-b + 11*b + 5*b)*(-25*b + 76*b + 55*b) + 0*b**3 + b**3 - 2*b**3 as o*b**2 + l + r*b + z*b**3 and give z.\nAnswer: -6361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2212 + -2221. Let z = 0.8 + -0.5. Which is the second biggest value? (a) s (b) z (c) -3 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-91)\/(-12)) + 11 + (-1595)\/143?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003635 to 7 dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mimii. Give prob of picking 3 i and 1 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -170, -0.2, 8\/7, 8, 1 in ascending order.\nAnswer: -170, -0.2, 0.5, 1, 8\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7029067, 28116266, 63261595, 112465054, 175726643?\n\"Answer: 7029065*q**2 + 4*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*d + 4 - 4)*(3 + 3 - 3) + 4*d + 0*d - 2*d)*(0 - 4 + 6)*(4*d**2 + 18719*d - 18719*d) to s*d + m*d**3 + v + a*d**2 and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59110, 118268, 177426, 236584, 295742, 354900?\nAnswer: 414058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.048 - 0.0091. Let k = 2.7711 + r. Round k to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -70. Find the second derivative of -6*a + 10*a**2 + r*a - 13*a**2 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/8, -0.1, -434, -379 in decreasing order.\nAnswer: 3, 3\/8, -0.1, -379, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -34 - (-25 - -3)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -2\/115617, 3\/5 in ascending order.\nAnswer: -2\/115617, 0, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*q**3 - 1316 - q**3 + 2271 + 250*q wrt q.\nAnswer: -3*q**2 + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -942 + 954. Calculate the least common multiple of 6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115627, -231260, -346893, -462526, -578159, -693792?\n\"Answer: -115633*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 258 - 748. Calculate the remainder when 193 is divided by d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 - 5937*w**2 + 48472203*w - 50566363095 = 0.\nAnswer: -5485, 1753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 + 0 = 0. Let z be (7\/4)\/(g\/(-4)). Factor -2*k**4 - 2*k**2 + 4*k**3 + 7*k - z*k.\nAnswer: -2*k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 43, 71, 107, 151, 203?\n\"Answer: 4*u**2 + 8*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 7*t = -20, -52*t + 56*t = 5*w + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3369 divided by 1?\nAnswer: -3369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*2*(-8)\/96?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7325018 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.0208360107 + 0.\nAnswer: -4.0208360107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 z when four letters picked without replacement from {o: 3, m: 2, d: 3, z: 8}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and -139\/9006?\nAnswer: 27018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116, -167, -232, -317, -428?\n\"Answer: -t**3 - t**2 - 41*t - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18181, -22349, -26509, -30655, -34781, -38881, -42949?\n\"Answer: w**3 - 2*w**2 - 4169*w - 14011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -2)*(-80)\/6. Let j = 116 + p. Let d = j - 19. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 3. Let v be k(3). Let p be v\/(-11) - 1 - 350\/(-110). Solve p*x - 25 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301 + 544. Suppose 2*u - k = -841. Let q = -88 - u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 256\/18 + (70\/(-45))\/7. Calculate the highest common divisor of 6 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906 at least 3906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -63. Let m = g + -38. Suppose 5*z - 300 = -3*k, 3*z - m*k = 116 + 30. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - i**2 - 2 + 67*i**2 + 2 - 20*i wrt i.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/57 - -13\/19. Let s(h) be the second derivative of 0*h**5 - d*h**4 + 1\/5*h**6 + 0 + h + 0*h**2 - 1\/21*h**7 + 0*h**3. Factor s(z).\nAnswer: -2*z**2*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 - k**3 - 83 + 31 + 48 to j*k + i*k**3 + x*k**2 + d*k**4 + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 721957707*r. Let g(f) = 2*f. Calculate g(x(z)).\nAnswer: 1443915414*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -32*p + 45. Let v(c) = -11*c**3 + 22*c**2 + 12*c - 23. Let r(w) = -4*w**3 + 8*w**2 + 4*w - 8. Let j(g) = p*v(g) - 8*r(g). What is j(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Suppose 4*s + 86972 = r*b, -b - 5*s + 9452 = -7954. Suppose 2*v - 4*v - b = -2*q, -v = q - 8702. Round q to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -104 - 4?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -35*g**2 - 25*g - 35. Let u(i) = -3*i**2 - 2*i - 3. Suppose -18 = 3*m, 1999*m = -5*d + 1998*m - 131. Calculate d*u(o) + 2*z(o).\nAnswer: 5*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 + 5\/4. Let m = -15702\/11 + 1424. Calculate the common denominator of 47*2\/(-16) + u and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95159\/10 + 9508. What is the common denominator of -27\/802 and f?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 + -1) - 6 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8099 to 2 decimal places.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:36 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309.358 + 0.358. Let j = r + 294.31. What is j rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653 - 164 - 164 - 171 - 175 + j.\nAnswer: j - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48, 142, 186, 180, 124?\n\"Answer: -25*l**2 + 169*l - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(2) - sqrt(2))*-2 + (sqrt(2) - sqrt(16)\/(sqrt(32)\/sqrt(4))))*2)**2*-6 - (((sqrt(162) + -1 + sqrt(162))*6 + -3)**2 + -4).\nAnswer: -23597 + 1944*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5261 = 6898. Let f = c - 662. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*r - 8. What is the greatest common divisor of 9 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -10\/47245549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*z - 8, z + 2*l + 20 = 5*z. Suppose z*m - 372 = 3. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 83, 137, 211, 311?\n\"Answer: m**3 + m**2 + 30*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:44 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1)\/(27\/36)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 25 = -c. Let n(p) = p**3 + 9*p**2 + 4*p + 1. Let m be n(c). Calculate the greatest common divisor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1415\/7218 - 21\/802. Which is the nearest to 2? (a) 3 (b) z (c) -0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1396 = 450. Find the second derivative of -g*n**4 - n - 2 + 923*n**4 + 3*n + 5*n**5 - 6*n**2 wrt n.\nAnswer: 100*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.3, 2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 6 + 6)*(2 - 1 + 1) + (3 - 1 - 1)*(-1 + 1 - 2))*(-2*b**3 + 0*b**3 + 3*b**3).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.78*26\nAnswer: 20.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 32926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1139.551 + -1137. Let p = 63.15 + -61. Let t = p - y. Round t to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3992602 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + (sqrt(1176) - sqrt(24)))\/sqrt(12) + (sqrt(4)\/sqrt(2) + 4)**2)*-6.\nAnswer: -90*sqrt(2) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16707660 or -16707657?\nAnswer: -16707660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x. Let q(j) = 6*j**2 - 7*j**2 + 3*j - 3*j. Calculate k(q(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22735.59 litres?\nAnswer: 22735590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 2*b + 2*b)*(-5599*b - 1804*b + 1047*b) as n + v*b + d*b**2 and give d.\nAnswer: -6356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 41. Let a(c) = -40335*c. Calculate a(v(s)).\nAnswer: -80670*s + 1653735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:29 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 + 2*h - 6. Let t(f) = -9*f**2 + 4*f - 11. Let r be (468\/21)\/6 - 6\/(-21). Suppose -4*x - 56 = 5*a - 13, 0 = -x - 2. Calculate a*d(q) + r*t(q).\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16142 - -193585\/12. Calculate the common denominator of 79\/10 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3434 and 68276?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnwwnwwwwwwnwn. What is prob of sequence www?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, 2\/11, -11, 1\/4.\nAnswer: -11, 2\/11, 1\/4, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 11) in base 8?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339 = 3*q - 4*i + 336, -4*q - i + 23 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(567)*-5)**2 - sqrt(567) - sqrt(567).\nAnswer: -18*sqrt(7) + 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*h**3*u**3 + 3*h**3*u**2 - 11*h**2 + 34*u**3 + 78*u**2 wrt u.\nAnswer: 174*h**3 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + -0.4. Let x = 5 + j. Let w = x + -5. Are -1 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -10 + 6 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5\/2 - 129*n**4 + 1434*n**3 - 639*n**2 - 12177*n\/2 - 3888 = 0. What is n?\nAnswer: -96, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 153*b + 6799. Calculate f(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000286779 rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b + 13. Let c(v) = -32*v - 32. Let u(h) = 6*c(h) + 11*k(h). Let a(r) = 16*r. Give u(a(w)).\nAnswer: 96*w - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2))**(6\/31)\/(w**1)**(-30\/11))**(3\/10) assuming w is positive.\nAnswer: w**(1296\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/7 + 1756064*v\/7 - 192735048256\/7.\nAnswer: -4*(v - 219508)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, 118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (3 - (32 - 21)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 40 in increasing order.\nAnswer: -5, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k - 33. Let r(h) = -3*h + 6. Let a(c) = 22*r(c) + 4*u(c). Let j(p) = p**2 - 3*p - 3. Let q be j(4). Let o(g) = -3*g - 1 + q. Calculate a(o(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10363*w + 165827. Give m(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74822 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-1)*((-208)\/(-56) + -4). Suppose 4*s - 6 = 3*s. Suppose 2*t - s = g. Solve -t*x + 16 = v, -4*x + 13 = -0*x + v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 - 8523380*d + 3632400331220 = 0.\nAnswer: 852338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 145*t + 438. What is o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90140? (a) -0.09 (b) -19 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170544 is divided by 11509.\nAnswer: 9418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 3096.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/5)*g)\/g**3)\/(g**(1\/4)\/g*g)**(2\/33) assuming g is positive.\nAnswer: g**(-731\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466210\/3 - 155401. Determine c, given that -8\/3 + q*c**2 + 10\/3*c = 0.\nAnswer: -2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 988*d + 722*d**2 + 541 + 795 + 548 - 1546.\nAnswer: 2*(19*d + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377)*2*4 + sqrt(1377) + sqrt(1377)*-1 + 1 + -1 + -5)**2.\nAnswer: -810*sqrt(17) + 111562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/(2930\/735 + -4). Suppose -12*s + d = -11. What is the second derivative of -s*b - b**4 + 556 - 556 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 737*a**3 + 12*a**2 + 4*a + 236. Let v(g) = 736*g**3 + 15*g**2 + 5*g + 236. Let p(x) = -4*v(x) + 5*z(x). What is the first derivative of p(s) wrt s?\nAnswer: 2223*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -420, -826, -1244, -1680, -2140, -2630?\n\"Answer: -p**3 - 399*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 0*t - 5*o = -6*t - 28, 0 = -2*t - 106*o + 101*o + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 3.5. Let a be (70\/21)\/((-4)\/(-6)). Suppose 7*y - 2*y - 5*t = -a, -2*y + 5*t = -7. What is the third biggest value in y, -1, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jacbskckbsj. Give prob of picking 1 a, 1 k, and 1 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 26669419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20287563511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/199539 and -65\/7804192.\nAnswer: 70237728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roggohgohooroghoyg. Give prob of sequence ory.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70.5 - -70. What is the third biggest value in b, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 - -3) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + 18208?\nAnswer: 18161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**3 + 0*q**7 + q**2 + 0*q + 0 + 0*q**6 + 1\/8*q**4 + 0*q**5 - 1\/336*q**8. What is the second derivative of d(z) wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.666 + -0.054. Let t = 4.72 + u. Which is the closest to t? (a) 3 (b) -30\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 6026*w**4\/3 - 5*w**3\/3 - 4*w**2 + 4*w. Let p be q(-6). Let z = p + -37796. Round z to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 5, k: 2, v: 4, o: 2, z: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-364)\/78)\/(8\/(-12)). Solve -h*w + 6*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -538*c + 537*c + 683. Let b = c + -611. Calculate the highest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/(-1) + 1. Let u = 20759 - 20760.4. What is the second smallest value in 2\/19, y, 4, u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56923 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 < -4\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:12 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 180326 - 134546 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 + -134. Suppose 32*j - 19*l = 34*j - 570, -j + 210 = 2*l. What is the lowest common multiple of r and j?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32213 - -23?\nAnswer: 32302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*c - 50 = c, 6 = 3*c. Suppose -4*d - b - 7 - 6 = 0, 0 = -2*d + 5*b + 21. What is the remainder when d\/(-3 - -1)*40 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 4 - 4 - (1 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let r(u) = -24*u**2 + u**2 + u**2. Give s(r(q)).\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 - 2389184*k + 1427050046464 = 0. Calculate k.\nAnswer: 1194592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2338 and 7350602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54932469 rounded to the nearest ten thousand?\nAnswer: -54930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.291 >= 0.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -39*a - 33 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*o + 8, 0 = 4*t - 3*t + 4*o - 10. Suppose -5*h = 18 - 98. Calculate the least common multiple of h and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114*y**2\/7 + 118*y\/7 - 4\/7.\nAnswer: -2*(y - 1)*(57*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 3:41 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -117588, -235174, -352760, -470346, -587932, -705518?\n\"Answer: -117586*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59080 - 38324. What are the prime factors of i?\nAnswer: 2, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -46.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71798 (base 10) in base 11?\nAnswer: 49a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from hhrrh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 9, -3\/4, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1181 - 1147 + 0*i - 3*i to p + z*i and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, -52, 3.\nAnswer: -52, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(250))\/sqrt(10) - sqrt(625)*1)\/(5*(sqrt(80) + -2*sqrt(80))) + 2.\nAnswer: sqrt(5)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*z - 43, 4*b - 3*z - 4 = -20. Suppose 55*u - 18 = 58*u. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f - 256. Give i(-44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2839 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12663 - -12669. Let m(r) be the third derivative of 0*r**4 + 0*r + 0*r**5 - 1\/3*r**3 + 0 + 3\/40*r**z - 7*r**2. Differentiate m(b) wrt b.\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -518320.593 - -518065. Let h = s + 256. Round h to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 9*q + 8. Let j(f) be the second derivative of -f**4\/4 - 5*f**3\/6 - 4*f**2 - 91*f. Let z be j(-2). What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 76 = 4*n, -13*n + 15*n + 74 = 4*k. Calculate the least common multiple of 16 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 34*h**3 - 6*h**2 - 6*h. Let u(k) = -k**3 + k**2 + k. Let q = 15158 + -15164. Determine q*u(a) - z(a).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-26))\/(13\/169). Solve -l + 9 = 3*c + 3*l, 3*c + p*l - 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 308*n + 303*n - 414 = 0, 2*n = -4*g + 1590. What is the highest common factor of g and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 82. Suppose 5*s = 4*n - k, -14 = 6*n - 5*n + 4*s. Find q such that 8*q**n + 10*q**3 - 41*q**3 + 16*q**3 - 4*q + 11*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 6*r + 5*r)*(24*r**2 - 22 + 22) + (-62 - 56*r**3 + 62)*(1 + 3 - 3).\nAnswer: -80*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -1*sqrt(99) - (5*(sqrt(1100) + 1) + -3)**2.\nAnswer: -27502 - 203*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -13?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29507963.8 rounded to the nearest 10000?\nAnswer: 29510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*f + 16, -f = -0*b + 3*b + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-3) + 8 + -12. Let p = -0.939 - -1.539. Which is the nearest to w? (a) 4 (b) p (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in years?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 78*q + 24. What is the remainder when 188 is divided by v(38)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11024259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 782295 and 135.\nAnswer: 7040655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -2.5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2633*u + 139533. What is r(53)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(14\/9)))\/s**7*(s**(2\/13)*s*s*s)**10 assuming s is positive.\nAnswer: s**(2936\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 10 - 3*r - 11)*(2*r**2 - 2*r - 3*r + 3*r).\nAnswer: -18*r**3 + 16*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4261611 (base 7) to base 15\nAnswer: -a3cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 7*f**2 - 12*f + 14. Let g(x) = x**3 - 3*x**2 - 10*x + 18. Let k be g(2). Let c be t(k). What is the greatest common factor of 100 and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-20))\/(23\/124085)?\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 144\/(-18) - -18\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**6\/10 + 42*h**5\/5 + 81*h**4\/2 + 80*h**3 + 159*h**2\/2 + 1394*h. Factor x(w).\nAnswer: 3*(w + 1)**3*(w + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*t + 5032 = 57922 for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/(d\/(d\/(d\/(d\/d**(-2\/9)*d*d)))))\/(d\/(d*d\/((d*d**0*d)\/d)))**(-28)*(d**(-2\/5)*d*d)**(-8\/15)*d**(1\/8)*d**(2\/7)\/d assuming d is positive.\nAnswer: d**(5623\/12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/7, 35\/18, 3.\nAnswer: -0.2, 1\/7, 35\/18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7182)\/76)\/(-21)*(-56)\/6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22906 and 23584370.\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -14, -12, -4, 10?\n\"Answer: 3*v**2 - 13*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76773 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 38 + 2*j - 244.\nAnswer: 2*j - 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -c6?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381265 = -3*q - 4*r, -4*r = -109*q + 111*q - 254174. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m - 54 = 92*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*a - 0*a + 8, 2*a - 4 = 2*w. Suppose 2*s = -3*p + 10, p + 5*s = -a*p + 7. Calculate the remainder when 59 is divided by (-3)\/4*-4*p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4 - (-77 + 76)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96672*h - 96672*h + 391*h**2.\nAnswer: 391*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.2637 minutes in microseconds?\nAnswer: 51195822000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33243135.\nAnswer: 3, 5, 29, 76421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817680 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14491 + -5123?\nAnswer: -5122.85509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15 - 6 - 9 - b. Let f(k) = -9*k - 1. What is f(s) - 6*m(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -50748222 divided by 147954?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 10377*a**2 - 2776518*a.\nAnswer: a*(a - 261)*(a + 10638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6806705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-12) + 71598\/(-198). Let k = -515 - -876. Let m = d + k. Find the common denominator of 43\/16 and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3395 = -5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 16212*a**3 - 29840*a**2 + 11044*a + 2584 = 0?\nAnswer: -646\/4053, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + -2 + sqrt(11) + sqrt(110)\/(1*sqrt(10)) + (sqrt(1331)*-2)**2*3)*-2.\nAnswer: -31940 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.405 - -0.205. Let o = g - 5.8. Let r = o + 88.9939. Round r to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26924530.26 + 26924405.2599963. Let i = -125 - y. Round i to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1048.9 and -271.2557?\nAnswer: 1320.1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6)\/l*l*l*((l**(1\/3)\/l)\/l)\/l*l)**(1\/7) assuming l is positive.\nAnswer: l**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10895, -11032, -11407, -12140, -13351, -15160?\n\"Answer: -20*n**3 + n**2 - 10876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137051404 by -14.\nAnswer: 9789386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (2 + -3 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18823\/4 + -4705. Factor -j*y - y**3 - 13\/4*y**2 + 0.\nAnswer: -y*(y + 3)*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 13*b + 17. Let p be o(12). List the prime factors of (-3 - p - -9) + 1*176.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixyi when four letters picked without replacement from {x: 8, q: 3, i: 2, d: 2, y: 5}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*g = -133*g - 294. Solve 4*b - p - 15 = 0, 2*b - 5*b = g*p - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepeepee. What is prob of picking 2 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*y - 2578 + 3460 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)\/w)**10*(w**(-2)*w*w)\/(w\/(w\/(w**12*w))*w) assuming w is positive.\nAnswer: w**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 - 7*i - 10. Let p be g(-2). Suppose p = -3*l - 3*c + 285, 0 = 5*c + 6 + 9. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11415496 divided by 356.\nAnswer: -32066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) -2\/13 (c) 5\/82 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -485\/6398 - -2\/457. Let h = 3\/7 - v. What is the nearest to h in 0.2, -3\/2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5667 rounded to two decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16979160 and 2970?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**2 + 0 + 0 + 15472*o - 15472*o.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/18*1*(-24)\/(-10). Solve 2*m - 20 = -i*q + m, -2*m + 28 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 2. Differentiate 4*j**3 - 3*j**3 - 3*j**3 + 1 + 5*j**t wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p - 4. Let j be y(-9). Let d(q) = 2*q**2 + 2*q - 9. Let c be d(8). Let i = c + j. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 6. Let d(z) = -z**2 - 5. Suppose -2*g + 4 = -3*g. Let w(k) = g*d(k) - 3*m(k). Is 7 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bab when three letters picked without replacement from {b: 2, a: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 6\/263?\nAnswer: 6\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. Suppose -9*f = 20*f - 29. Let g(b) = -b**2 - b - 4. Calculate f*g(a) + 5*o(a).\nAnswer: -a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9837081691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -147595100 to the nearest 1000000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + -3 + 4 + (sqrt(475)*6 + sqrt(475))**2.\nAnswer: 23282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*y + 9, 248683 = -4*a + 7*y + 248750 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let x(f) be the second derivative of 7*f**4\/12 - 7*f**3\/6 + f**2 + 5*f. Let w(c) = 6*q(c) - 3*x(c). Let w(t) = 0. What is t?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 69*p - 10 + 393*p + 286*p + 69*p.\nAnswer: 679*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + 70 + -65?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcvekkkvvvq. Give prob of picking 1 q and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27720839283628 take away 3?\nAnswer: -27720839283631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13534, -13532, -13530, -13528?\nAnswer: -13526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2)*(-3*j - 2*j + 0*j) + (5*j + j - 4*j)*(2 + 2 - 5)*(-1 + 5 - 3) in the form w*j + h and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20267334 (base 8) in base 10?\nAnswer: 4288220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1819, -4293, -7425, -11215, -15663, -20769?\n\"Answer: -329*w**2 - 1487*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*j - 2)*(1 - 4 - 8) - 3*j + 2*j + 2*j as t*j + v and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 102*h + 12. Let l(g) = -119*g - 14. Let y(f) = -6*l(f) - 7*s(f). Let k(q) = 6*q**2. Determine k(y(a)).\nAnswer: 294*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61219598, -122439206, -183658814, -244878422?\nAnswer: -306098030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l. Suppose a + 3 = -2*a, -2*p + 5*a + 197 = l. What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-108))\/(((-40)\/(-6))\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.37 - 1.1. Let y = w - 0.07. Let s = 4.3 + y. What is s rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 3.7. Let x = s + 0.2. Let r = -0.053 + 0.053. Which is the second biggest value? (a) 5 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcpr when four letters picked without replacement from rcrrrpccrrpc.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 5, 0.98, 3?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/1)\/(2 - 1). Let w(s) = -s**3 + 7*s**2 - 19*s - 10. Let z(i) = i**3 - 5*i**2 + 16*i + 6. Let y(d) = 4*w(d) + 5*z(d). Is y(u) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 18. Give a(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 164 - 2 = 0. Let h = y + -29. 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: Which is the fourth biggest value? (a) 0 (b) -13 (c) 3 (d) 1299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4 + 245*p**3 - 3520*p**2 + 12100*p = 0.\nAnswer: 0, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/2 - 3*m**4 - 9*m**3\/2 - 2*m**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71169 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35488.5 and 560.3.\nAnswer: -34928.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 28*t + 21. Give j(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19364 - 19363.956745. Let d = w + -0.043. Round d to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142200 (base 5) to base 14\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 t, and 1 k when three letters picked without replacement from wtzxk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 5)*(-9)\/18. Let x = -3284\/15 + 219. Let v = x - 127\/105. Is v at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 10*m**2 - 21*m + 12. Let j be t(16). Let a = j + 3643. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(168)\/sqrt(4) + sqrt(42) + sqrt(42))\/sqrt(6) + -4*sqrt(63) + -3)**2 + -1).\nAnswer: -2875 - 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-3 + sqrt(192))**2*5*-4*-6 + 5) + -2)*-5.\nAnswer: -115200*sqrt(3) + 482510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/6*2\/(-3). Suppose -197 + 47 = -n*m. Let x = 26 + -15. Solve 3*z = 5*f - x, 0 = -5*f - 5*z + 5 + m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19524*w**2 + 58557*w - 62. Determine m(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6414, -6407, -6390, -6357, -6302, -6219?\nAnswer: -6102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + (sqrt(112) + 2)**2 + (2 + sqrt(28))**2.\nAnswer: 28*sqrt(7) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -0.2, 1\/10.\nAnswer: -11, -0.2, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 3 - 13 + 6. Let b be a(-7). What is b rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -80. Suppose -5*m = -3*x - x - r, 4*m - 20 = x. Does 2 divide (13 - 10)\/((-3)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -389.3923 to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.5955599us?\nAnswer: 0.000000026592665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/6 + u**3\/6 + u**2 - 2*u. Suppose -3*f + 13 = -5*z, 3*z - 20*f + 9 = -17*f. Determine n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*7)\/((-275)\/55)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9123 (base 12) in base 4?\nAnswer: -3311223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + 5*i - 8. Let a(z) = 7*z**2 - 10*z + 17. Let y(d) = -4*a(d) - 9*c(d). Give y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 25*z + 293. Let u be y(36). Solve 0 = 9*f + 743 - u for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*-2 - sqrt(187)))*6 - -1*sqrt(187)*2)\/((-1*sqrt(132) + sqrt(132))\/sqrt(12) - (sqrt(33)\/sqrt(3) + sqrt(11))*-5)*-6*-2*2.\nAnswer: 312*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4012, 2999, 1984, 967, -52, -1073, -2096?\n\"Answer: -f**2 - 1010*f + 5023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let k be -1 + b + 2\/(-1). Sort k, 1, 6 in decreasing order.\nAnswer: 6, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17326962 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*20\/75*(-30)\/2. Let u = n - -35. Let q = 15 + 5. Calculate the remainder when q is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*t, -3*t - 2 - 7 = 4*v. Suppose 0 = m - r - r - 10, 4*r + 20 = 3*m. What is l in 1\/3*l**2 + m*l + 1\/3*l**3 + v = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**33\/(p\/(p\/p**(1\/13))) assuming p is positive.\nAnswer: p**(428\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 49 - 706. Let t = 220 - s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(231\/14)*3933\/(-114)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.5 (b) 4 (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*b = 1, 66 - 69 = -2*n - 5*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1341354 divided by -131.\nAnswer: 1341354\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20.7 (b) -3\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + (sqrt(684) + 1 - sqrt(684)) + 5))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57780394?\nAnswer: 2, 7, 4127171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 u when four letters picked without replacement from {z: 1, b: 3, u: 16}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.6 + -0.8.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*r**2*u - 5*r**2 + 3*r*u - 139*r wrt r.\nAnswer: 130*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s - 2*s - 3*s + 1. Determine u(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 5*u - 3*u - 3*u - 21 - 1.\nAnswer: -u - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*2*sqrt(114))\/((sqrt(48) + -2*sqrt(48))\/sqrt(8)))**2.\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*k**3 - 439*k**3 - 9*k + 217*k**3.\nAnswer: -287*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8756 divided by -3098?\nAnswer: -4378\/1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21161.7 rounded to the nearest one hundred?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v**2 + v - 1. Let k be o(-2). Suppose -6*s + k = -15. Let l(p) = 5 + p**3 - 3*p**2 - s - 7*p + 5. Determine l(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 - 3*z**5 + z**5 + (4 + 2 + 1)*(z**5 + 29*z**5 - 24*z**5).\nAnswer: 44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-6)*(-15)\/(-105)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*c**2 - 2 + (4*c + 2*c - 5*c)*(-c + c - 2*c) + 43 + 566*c + 2*c**2 - 566*c.\nAnswer: -3*c**2 + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -38, 2\/9, -4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 72 = 13*z + 406, 9*z + k = -13 - 147 - 76 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {z: 4, x: 2, q: 1, d: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 0, 80*b + 35 = -35*d + 76*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 13*p + 26 = 0. Let q = 4 - 1. Solve 5*h - q = -p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 3*r**2 + 7*r - 5. Let a(o) = -o**3 + o**2 - 4*o + 3. Let l(p) = 5*a(p) + 3*h(p). Calculate l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 45 = 14*m. Sort m, -2, 2, 4 in descending order.\nAnswer: m, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 6. Let p be h(-4). Let i(m) = m**2 + 24*m + 44. Let f be i(-22). Solve f = -5*a + 5*r + 20, 5*a - 2*r - 8 = p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10923 divided by 11?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (4774\/2 - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 4. Let z(l) = 2*l - 1. Determine -3*q(r) - 6*z(r).\nAnswer: -6*r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:50 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1805*q**3 - 2412*q - 2408*q + 4828*q + 2*q**2.\nAnswer: -1805*q**3 + 2*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 226431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 9 = t - 2, 1 = -j + 2*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 17. Let a(p) be the second derivative of -p**4\/12 - p**3 - 3*p**2\/2 + 2*p + 762. Let n be a(t). Sort 3, n, 5, -4 in decreasing order.\nAnswer: 5, 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 18. Suppose -5*l + j + 45 = 0, -17*l + 45 = -12*l - 3*j. Determine x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02063751 rounded to 5 decimal places?\nAnswer: 0.02064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14 - 35 + z + 7 + 12 + 1. Let q(x) = -3*x + 2. Suppose -5*u - 3*j + 10 = 0, 2*u - 10 = -3*u - 5*j. Determine u*m(f) + q(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a - 6b?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqiq when four letters picked without replacement from {q: 5, i: 13}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*y + 1 + 1 = 0, -4*y = 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10226 (base 7) to base 2.\nAnswer: -100111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2077947\nAnswer: -2077947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 2. Let v = -2 - -3. Let u = 73 - 70. Let d(y) = -y. Determine u*d(f) + v*r(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjjj when four letters picked without replacement from jjvjjvjjjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 13 = n, 0 = -2*v + 3*n + 69693 - 69700 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53\/6 - 28\/3. Let j = 6.008 + -0.008. What is the second biggest value in b, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21212344 - -20?\nAnswer: 21212414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 169 + 3989?\nAnswer: 3b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**2 + 17098320*r - 14617627341120 = 0?\nAnswer: 1709832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2, 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0296616? (a) 4 (b) -2 (c) 2 (d) 0 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*1*54\/(-162). Let b(u) = -u**3 + 3*u**2 - 4*u + 7. Determine b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825406773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 3176309?\nAnswer: 3176309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(396)*5)\/sqrt(4))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 81 = 5*c, 2*a - 21 = -2*c + c. Solve v - c = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (215\/15 - 10) + -5 + 3 + -1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 5.588?\nAnswer: -5.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - (-4)\/(-16). Suppose n = 5*w + 15 - 35. Suppose -u - u = -w. Solve -4*o - 2*d = -4, 4*o + d + u - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) 5 (c) 0.17 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/19 (b) -3\/2 (c) -119 (d) 336 (e) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82143, -82193, -82243, -82293, -82343?\nAnswer: -82393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/(k\/(k*k**(-1\/9))*k))\/k))\/k)**(1\/8) assuming k is positive.\nAnswer: k**(1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3*r + 5)*(25*r**3 - 1428*r + 1428*r) to u*r**4 + m*r**2 + w + p*r**3 + x*r and give u.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:31 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:10 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25460.5096 rounded to the nearest integer?\nAnswer: 25461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127659605344 - -127659604125.00000703. Let a = 1219 + p. Round a to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 59. Let o be 10 + -9 + 1\/1. Let t(i) = i**2 - 2*i + 2. Calculate the lowest common multiple of t(o) and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 777158.7 millennia in months?\nAnswer: 9325904400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6328.938 kilograms?\nAnswer: 6.328938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12300)\/(-984)*11\/(-25)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1299120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.8 (c) -446\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84)*-2*4 - 2*sqrt(84)*2)\/(sqrt(972)*-2*-6*-5).\nAnswer: 11*sqrt(7)\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2)*g)**27\/(((g**(-12)\/g)\/g)\/g*g**(2\/7)) assuming g is positive.\nAnswer: g**(1151\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. What is the third derivative of -2*d**2 + d**j + 3*d**5 + 2*d**5 + 0*d**5 wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 3*x + 4. Let w be l(-4). Solve 15 = -w*t - 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -15. Suppose 8 + w = 3*x. Sort x, -2, 0.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3\/6 - 7*y**2\/2 + y. Let c = 9 - 1. Let t = 8 - c. Give n(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2518.785095284 - 0.245924716. Let k = c - -2519. What is k rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176\/1495 - -2\/65. Let t(q) = q**2 - 3*q**2 - q**2 + 2*q**2 + 3 - 3*q. Let h be t(1). Which is bigger: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(3\/7)\/i)\/i*i*i)\/i**8*(i*i*i**(-2\/3)*i)**(-48))**1 assuming i is positive.\nAnswer: i**(-830\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/2329?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 7856237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:17 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 161*r - 310. What is i(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 470496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 m when three letters picked without replacement from aagtaggtmgaggggggmma.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8128166?\nAnswer: 2, 4064083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:09 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15965 and 45880.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -115? (a) 2\/5 (b) 4\/7 (c) 2.9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479039.1 - 762.\nAnswer: 478277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42191 is divided by 550.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 2*k**2 - 2*k - 2. Let i(r) = -r**3 + 3*r**2 + 2*r + 3. Let x(v) = 3*g(v) + 2*i(v). What is the second derivative of x(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7031?\nAnswer: 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 9*o**2 + 9*o - 7. Let u be p(8). Let g(d) = -d**3 - 452*d**2 + 448*d**2 + 2*d**3 - u. Let h = 15 - 13. Determine g(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2, 3*b - 4*u + 12887 = -9*u. Round b to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42148 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 11*g = -304. Let i = 80 - g. Suppose 0 = i*a - 3*d - 247, 0 = -2*d - 3*d + 15. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 123 - 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 3}. What is prob of picking 2 f and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 1.3. Let z = a + -0.2. Let t = z - 0.3. Which is smaller: t or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -1718*y**3\/3 - 940*y + 371. What is the first derivative of l(g) wrt g?\nAnswer: -3436*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000162566 to 6 dps.\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 965624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 70*r + 350. What is b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 699550608.847.\nAnswer: -699550554.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) 0.69 (c) -5 (d) 57 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 20*n + 10*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107005?\nAnswer: 5, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 259*c + 260.\nAnswer: -(c - 260)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 7643*q**5\/20 - 2509*q**3\/2 + 6625*q. Find the second derivative of c(z) wrt z.\nAnswer: 45858*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20000)\/(-5 - (-162218)\/32445). Round f to the nearest 1000000.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:04 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 1. Let k be g(6). Suppose 2*r - 22 = 4*r. Let p = r + k. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 245, 6, 4, 5, -5, -83, -3 in descending order.\nAnswer: 245, 6, 5, 4, -3, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let a = -684 + 683.5. What is the closest to -0.1 in a, m, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 18 = 2*h - 0*a, a = 4. Suppose 5*s + 6*x - 3*x = h, -s = -3*x - 3. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/(a\/(a**2\/a)*a))\/a*a**23*(a\/(a*a*a**(-1\/17)))**(-1\/25) assuming a is positive.\nAnswer: a**(9791\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 5*l + 5. Let r(t) = -4*t**2 + 7*t - 7. Let w(m) = 7*p(m) + 5*r(m). Let y = 32 - 32. Let i(n) = -16*n - 2*n + y*n - 11*n. Determine w(i(z)).\nAnswer: 841*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 777529 by 1.\nAnswer: 777529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2313 is divided by 114?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 10\/57 (c) 0.2 (d) -3 (e) 11\/4 (f) 95 (g) -2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -13. Let g = -58\/127 - 159407\/508. Let o = 309 + g. Does o = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.04 - 0.04. Let t = -4 + u. Let v(l) = 2*l**2 + 111*l - 51. Let f be v(-56). Sort t, -0.02, 2, f in descending order.\nAnswer: f, 2, -0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 + -257. Suppose 1 = -2*x + 11, -4*x = -2*w + 4. List the prime factors of w\/(-4) + j*8.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21336, 41332, 61328, 81324, 101320?\nAnswer: 121316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 771 - 156. Let p = m + -1313\/2. Let x = 2648 - 31693\/12. Find the common denominator of x and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61999979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 269 = 4*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - -2.3. Which is the third biggest value? (a) -0.1 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/63 (b) 0 (c) -4 (d) 3 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -5 + (-2 - -20) + 15 + -23.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12544?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303785713 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4000\/6951 - 4\/993. Which is the nearest to 0.5? (a) k (b) 0.25 (c) 3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/6 + -4)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935 is divided by 49.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2178 + 2247 = -3*h, -30 = 5*a. Let x(u) be the third derivative of -u**4\/12 - 4*u**3 - u**2. What is x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/(-6))\/(1\/(-354)). Let t = q + 28351\/10. What is the common denominator of t and -42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2344*v - 522*v + 652*v to the form t + i*v and give i.\nAnswer: 2474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 - 3*r**2 + 3*r**2)*(280 - 1250 - 1612 + 250) in the form a*r**3 + l + p*r**2 + s*r and give a.\nAnswer: 4664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48045265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + (3 - 6) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 5*r - 96 + 134, -w + 3*r = 34 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.629 and 5.298?\nAnswer: 16.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:21 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 342721003 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4924 + 4963. Put 1\/4, d, 0.19 in increasing order.\nAnswer: 0.19, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = -2*f, 2*f - 17 = x - 3*f. Is 4 a factor of (0 + x)*22\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2. Let w(u) be the first derivative of -4 + 0*u**3 + 0*u**2 - 1\/6*u**4 - 3*u. Let q(d) be the first derivative of w(d). Give q(y(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-117)\/(-1365)*-21)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 15, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = -2*f - 5, 4*f + 5*g = 21. What is the first derivative of 2*s - 64 - 47*s - f*s wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*25.030146.\nAnswer: 12.515073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x + 687848 = 688004. Let v(k) be the second derivative of -5\/2*k**2 - k - 2\/3*k**3 + 1\/6*k**4 + 0. Give v(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in 6\/7, 2, 20, 1\/5, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = 36. Let v be q\/(-8)*3\/9. Put 0, v, 2\/7 in decreasing order.\nAnswer: 2\/7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -655, -649, -629, -589, -523, -425, -289, -109?\n\"Answer: l**3 + l**2 - 4*l - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -300\/53 in 1790, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -43. Solve 0*s - g = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.03 (b) 4 (c) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62422.14 + 62421.6399958. Let b = 0.5 + k. Round b to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(210\/83846) - (-130)\/(-39). Is v less than 1991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -10184.6975347.\nAnswer: -10184.2975347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 45*m**3 - 4*m**2 + 8*m + 4. Let j(i) = i**2 - i - 1. Give h(o) + 4*j(o).\nAnswer: 45*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -23, -3, 3352 in increasing order.\nAnswer: -23, -5, -3, 2, 3352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3023, 3018, 3009, 2996, 2979, 2958, 2933?\nAnswer: 2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2\/21 (b) 4 (c) -2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooosso. Give prob of sequence oo.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115 and 35.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:13 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = l + 1, -l - 7 = 311*u - 315*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54012*q**2*v - 24307*q**2 wrt v?\nAnswer: -54012*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*-2*sqrt(5).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97748.\nAnswer: 2, 7, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 652625002 and 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/8)*g\/(g**(3\/2)*g*g) assuming g is positive.\nAnswer: g**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbwbbbbbbbbwbbw. What is prob of sequence wwbb?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20.7 (b) -10\/9 (c) -4\/6061 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 16. Let r be q(8). Let p be (-10190)\/r*(-9)\/10. Let l = -1145 + p. What is the common denominator of -50 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/9*(5\/10 + 4). Suppose 3424 = 2*v + j - 3*j, -g*v - 2*j + 3444 = 0. Suppose 5*x - 238 = v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t - 5. Suppose x = -4*x. Let q be 0\/2 + 5 - x. Solve t*g - q + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j + 99 = 0. Find the common denominator of -53\/10 and ((-26)\/j)\/((-4)\/6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r - 1. Let a(v) = -2*v**2 + v + 8. Let k(u) = a(u) + 4*m(u). Let x be k(-2). Suppose 2 = x*d - 3*d. Sort d, 4, -3 in increasing order.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1133334*t**2 - 2*t + 2. Let c(f) = -1133334*f**2 + 2*f - 3. Let p(o) = -2*c(o) - 3*w(o). Let r be p(3). What is r rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 13*f - 8. Let d be q(-14). Suppose -3*u = -4*h + 1, 2*h - h = -5*u + d. Solve -4*v + 6 = 3*x, -v + x + h = 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfr when three letters picked without replacement from mrmmfxmxr.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -22\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13864 = -107*z + 12687 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.532 + 4.468. Which is the closest to 1? (a) l (b) -0.5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 2*s - 1. Let o(j) = 6*j**2 + 2*j + 4. Let y(v) = -5*d(v) - o(v). Calculate y(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 h when four letters picked without replacement from mienehnmheev?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-66)\/(-12)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o + 5 - 3 - 4 + 6277*o**2.\nAnswer: 6277*o**2 - 30*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -427 - -454. Suppose 29*i - t*i + 4 = -2*q, -5*i - 10 = 0. Factor q*h + 3\/4*h**2 + 0.\nAnswer: 3*h**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -78. Is -3 + -1 + 2 - k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/2257 (b) -7\/6 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:19 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -4)*(-10)\/10. Let c(t) = -t**3 - 3*t**2 - 3. Let g be c(a). Let v be -2 - 35\/20 - -5. Put v, g, 5 in descending order.\nAnswer: 5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20947327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 2*r**2 - r - 2. Suppose -u + 1 = -2*u. Let o be l(u). Solve o = 4*z + z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34046899?\nAnswer: 29, 1174031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:54 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 988267.\nAnswer: -8\/988267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**7\/210 + g**6\/150 + 4*g. Factor p(b).\nAnswer: -b**4*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(190)*2 + sqrt(190))\/sqrt(5)*2)\/(sqrt(4)\/sqrt(2)*-5 - (sqrt(22)\/(sqrt(11)*-1) + sqrt(2) - sqrt(2))) + -2))**2 + -4.\nAnswer: 54*sqrt(19) + 1667\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:13 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.053 + -33.947. Let f = -86.2 - -55. Let r = h - f. What is r rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 248*a**2*g**2 + 2*a*g**2 + 228*a - 4*g**2 + 61848 wrt a?\nAnswer: 496*a*g**2 + 2*g**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 1253*x**2 + 6296*x - 35. What is k(-5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182003 at most as big as 181997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 32 = 24. Let i(o) = -2*o**2 + g - 56. Let u(z) be the third derivative of -z**4\/3 + 29*z**2 + 1. Give u(i(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -62000 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14486 is divided by 353?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2835*f + 730 = -2981*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/60 + 5*r**4\/8 + r**3\/3 + 23*r**2 - 2*r. What is the tens digit of p(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 0.24. Let f = 1637\/8 - 205. What is the second smallest value in l, f, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -42*a + 2. Let i(r) = 14*r. Suppose 3*q + 4*d - 36 = 5*q, -4*d + 78 = -5*q. Let v(b) = -40*b. Let s(k) = q*i(k) - 5*v(k). What is m(s(u))?\nAnswer: -168*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 7*k**2 + 8*k + 3. Let p be j(8). Let b(n) = 2*n. Calculate the least common multiple of 9 and b(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11101101?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37333 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, x: 7}. Give prob of sequence txtx.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-377*q + 237*q - 330*q)*(-q**3 + 4*q - 4*q).\nAnswer: 470*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1803223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**2 - 3*f - 4. Let s be q(-1). Sort -1, s, 3, 4.\nAnswer: -1, 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (388*i - 81 - 94 + 173)*(-2 + 2*i + 2) as f + j*i + b*i**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*v**4 - 3909152*v**3 + 29847108482*v**2 - 7461593880*v + 466345800 = 0. What is v?\nAnswer: 1\/8, 15270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1226 = -146*z - 496 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37980.73 decades in months?\nAnswer: 4557687.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + 3211\/741. Solve -j*z = 3*x - 22, -3 = -x - 3*z + 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*a + 120*a - 59*a.\nAnswer: 317*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 13*b**5\/90 - 25*b**4\/18 - 8*b**3\/9 - 8*b**2 - 2*b. Determine p so that y(p) = 0.\nAnswer: -2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -29369\/2605?\nAnswer: -29369\/2605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {t: 3, p: 6, f: 1, d: 3, v: 2, j: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 8*b - 1. What is the remainder when t(-6) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88508 and -94836.9.\nAnswer: -6328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 4*h - 34. What is the highest common divisor of h and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 - 702715*w**2 + 6049159926007*w\/7 - 18147435507003\/7.\nAnswer: (w - 2459501)**2*(w - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 12 + 6*n + 9*n**2 + 4*n.\nAnswer: 9*n**2 + 6*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2*i - 28. Suppose 18 = i*v - 4*v. Suppose -v*y + 315 = -141. 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 w = 11 - 9. Suppose 0*m + 2*m - 13 = -3*v, m - 7 = -w*v. Suppose m*z - 971 + 1 = 0. Does 34 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109415 = -3771*g + 11099 - 11155 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -151 - 12*x + 151 as s*x + t and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:41 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = -r - 23, -3*r - 3*t = 9. Let j = r + -3. Let k be -2 + 2 - j*2. Solve 1 = a - k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/162)\/(8\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 0.6. Let w = 48332 - 48332.5. Sort w, 0.08, b, -0.2.\nAnswer: w, b, -0.2, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3206 divide 670717642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -39. Let i(l) = l + 8. Let t be i(q). Differentiate 8 - t*v - 6*v - 3*v with respect to v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6674 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1053197112 and -0.4.\nAnswer: 1053197111.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen fifths of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g - 4, -4*g + 40 = 4*f. Suppose 0 = -3*m + f*m - 21. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -12 (c) -2\/41 (d) 1\/8 (e) 0.4 (f) 0.1 (g) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111101101110010001110 (base 2) to base 11.\nAnswer: 9478a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/30 - -12)*(-20 - 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 226*j**4 + 5 + 1 - 237*j**4 + 4 wrt j.\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 (base 6) in base 7?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of -62*(-52 - (-15 + 10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 + -a532?\nAnswer: -a586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198680708?\nAnswer: 2, 463, 107279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4114100 to the nearest ten thousand.\nAnswer: -4110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -7)*(-1)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/615000 and 71\/16250.\nAnswer: 7995000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -100, -11.\nAnswer: -100, -11, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**6\/30 + v**5\/20 + 5*v - 1. Let l(w) = w**4 - 3*w**3 - 4*w - 55. Let f(g) = l(g) + 3*y(g). Differentiate f(j) wrt j.\nAnswer: -8*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (1159\/12)\/(-19) - (-3 - (-245)\/84)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 2\/7, -0.1 in increasing order.\nAnswer: -7, -5, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24769*r + 32527*r - 2 - 57273*r.\nAnswer: 23*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/3 + 7*i**5\/20 + 215*i**3\/6 - 74*i. Find the second derivative of x(j) wrt j.\nAnswer: 280*j**3 + 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 9, -7*o + 6*o = -3*u + 18. Suppose 0*q + 422 = q - u*a, 792 = 2*q + 3*a. What are the prime factors of q?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 - 4*o**2 + 8*o**2 + (-20 - 3*o + 20)*(2*o + 4 - 4))*((-2*o**3 + 1 - 1)*(0 - 1 + 3) + 268 - 9*o**3 - 268).\nAnswer: 91*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 21. Let k(c) = c**3 - 25*c**2 + c + 20. Let s be (-892)\/(-36) - (-14)\/63. Let t be k(s). What is the greatest common factor of m and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, and 1 e when three letters picked without replacement from kivveekvkvkik.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -846 + 846.4. Let s = 3.5 - 3. Which is the nearest to 1? (a) 2 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/11? (a) -9 (b) 5\/12 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 2. Let i be p(2). What is the units digit of (6\/4)\/(i\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 211*p + 4994. Give o(183).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - r - r + (2*r + r - 4*r)*(17 - 15 + 14) + 0 - r + 0.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 429?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 34\/((-3)\/(-3))*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooosoooosoooo. What is prob of sequence sso?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2978605476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 + 190. Let x(n) = n**2 + 38. Calculate -11*x(l) + 2*y(l).\nAnswer: -l**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11 + 1)\/(-120))\/((-1186)\/(-16)). Is i < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3 - 1 - t**2 - t**3 - 3. Let i(r) = r**3 + 4*r**2 + r + 2. Let d be i(-4). Let o be s(d). Solve 5*b = -4*c - 7, -2*b + b + 10 = -o*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-5))\/((-3)\/(-15)). Suppose -17 + 5 = -w*b. Solve -b - 11 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**2 + 4*b + 4. Let v be u(-4). Suppose 0 = 4*i - v - 708. Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -156284, -625056, -1406348, -2500166, -3906516, -5625404, -7656836, -10000818?\n\"Answer: -y**3 - 156254*y**2 - 3*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.07 + 0.07. Let h = 167\/2 - 2167\/26. What is the second biggest value in 1, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/1364370 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -17. Suppose -c - 4*x = -36, -l*x = -0*x. Suppose 0*h = 3*h - c. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44849617, -89699235, -134548853, -179398471?\n\"Answer: -44849618*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 254*z**3 + z - z**4 + 1 + 3*z**3 to the form i + v*z**4 + f*z**3 + h*z**2 + l*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(144))\/(sqrt(56)\/((sqrt(7) - sqrt(28))*5)).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Differentiate -3*q**2 + 4*q**2 + q**2 - a wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 - 135*m + 134. Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800 = 23*x - 248*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 + 3*b + 140 - 3*b + 178 - 4*b**2 to z*b**2 + y*b + m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2245 - 2439 + 2124)*(-3*y - y + y).\nAnswer: -5790*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 2958.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003294371 to 7 decimal places.\nAnswer: 0.0003294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20191, -20165, -20121, -20059, -19979, -19881?\nAnswer: -19765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + r**2)*(8 + 6 + 0 - 14 - 2648*r).\nAnswer: -2648*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, f: 2, d: 2, w: 1, y: 1}. What is prob of sequence kf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*t**2 - 191*t + 1?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 112. Suppose j = 6*p - 2. Solve -2*n - p = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 36) + 31 + -6\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 + (6 - (11 - 3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13940131 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:35 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272)*-3 + 0 + sqrt(272) + 0)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467*d - 229 + 229 to t + i*d and give i.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.097 + -56.097. Let u = -4.607087 + -51.393653. Let y = o - u. Round y to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 260 + -250. Let x be (-105)\/(-33) - z\/55. Solve l + x = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 3)*(88720 - 3*q - 88539 + q) to the form t*q + i and give i.\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 + 86*o - 48. Is 4 a factor of x(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, 1, 18, 41?\n\"Answer: 3*a**2 + 2*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 - 4*t - 18. Let d be c(-6). Find the common denominator of 49\/92 and (-6 + (-75)\/(-20))\/(d\/(-26)).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, -21, 9, -3 in ascending order.\nAnswer: -21, -3, 9, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -24. Let n = 847.991 - 846. Let r = d - n. Round r to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -5)*(-5)\/(-10). Suppose 3*c + 2*c - 4*u = n, 4*c + 3 = 5*u. Suppose 4*m + 3*i = 530, 4*i - 77 - 317 = -c*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x - 464. What is the lowest common multiple of 6 and u(53)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*((s*s*(s**0\/s)\/s)\/s)\/s))**(-22\/7)*(s\/(s*s**0\/s*s))**(-24))\/((((s**(1\/3)\/s)\/s)\/s)**12)**(-26) assuming s is positive.\nAnswer: s**(-5868\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)*24\/20*5. Let q(y) = -y**3 + 7*y**2 - y - 11. Let c be q(r). Calculate the greatest common divisor of 1102 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 34*t + 42. Let n be p(33). Factor 11*i**2 - n*i - 18*i + 1 + 5 + i**2.\nAnswer: 3*(i - 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12810 + -12767. What is the fifth smallest value in -4, -0.1, z, 1\/2, -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -10*n - 63. Suppose 888 = -n*h + 11*h. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2))**(3\/37)*o\/(o**0*o)*o**8 assuming o is positive.\nAnswer: o**(293\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, z: 2, d: 6, y: 2, p: 1}. What is prob of picking 1 p, 1 y, and 1 z?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -12)*(324\/(-405) - (-6)\/(-5)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.7, 0, 7, 2, 0.5 in increasing order.\nAnswer: 0, 2\/5, 0.5, 0.7, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 9*p + 1. Give g(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 (base 6) in base 8?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 192.8 and -0.4?\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:34 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -986 - -1983. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 31*l**2 - 144*l + 149. What is s(35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) - sqrt(88)*-4))\/((-1*sqrt(72))\/sqrt(9)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11730\/(-966) + -1*(-24)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.248467kg in nanograms?\nAnswer: 8248467000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**5 - 15*q**4 - 90*q**3 = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 1306 = -1514. What is the lowest common multiple of 1980 and o?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 171086?\nAnswer: 10\/85543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51811585901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 8. Let m = -12 + 12.2. Sort g, -2\/7, m in decreasing order.\nAnswer: g, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, g: 3}. Give prob of sequence ggpp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80307 by 26769.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15267, 61086, 137461, 244398, 381903, 549982, 748641, 977886?\n\"Answer: w**3 + 15272*w**2 - 4*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13861183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 2*p**2 - p - 10. Give x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154949\/20436 - 2\/1703. Let r = -881\/36 + 248\/9. What is the common denominator of r and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.7 - 9.700775. Round z to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 53.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzbn. What is prob of picking 2 b and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13291634 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Let h = s + -4. Suppose i - 2*l - 2 - 4 = 0, -4*l - 8 = h. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -30, -33, -32?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-4)*(-6724)\/(-15129)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 14) to base 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -7. Let a = 31 + -20. Let n = f + a. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + ((-2)\/2 - -4). Suppose -p*v = -10*v + 36. Solve 6*g + 5*u + 13 = 5*g, 2*u = 3*g - v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/8)\/(21\/(-8)). Let r be (-12)\/(-8)*(1 - -1). Let g = -2 + r. Which is the nearest to g? (a) m (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1386 and 4711077.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9782, 9781, 9780, 9779, 9778?\n\"Answer: -v + 9783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -355 + 2008. List the prime factors of g.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 + -2342?\nAnswer: -2476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3450 - -60063?\nAnswer: 63543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -10*a + 23 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.024 and -45392.5.\nAnswer: -45392.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34565951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -788 (b) 1493 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174659, -351514, -528369, -705224, -882079, -1058934?\nAnswer: -1235789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from {x: 1, z: 2, v: 14}?\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*2*-4 + 4*-1*sqrt(600))\/(-2*((-1*sqrt(108) - sqrt(108)) + sqrt(108)) + 4*-2*sqrt(108))*3.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/9, -5, -3\/4, -2\/61?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 96*r**2 - 303*r - 152. Determine m(51).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - 81. Let f(k) = 4*k + 2. Let d be f(-3). Let n = l + d. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l*v**4 + 897*l - 39*v**4 wrt v.\nAnswer: 8*l*v**3 - 156*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -1\/2*o**2 + 1\/12*o**4 - 2\/3*o**3 + 9 - 11*o. Let h(s) be the first derivative of t(s). Calculate h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 2 + sqrt(19) - sqrt(1216)*3) + (-5*1*sqrt(95))\/((2*sqrt(5) + sqrt(5))*4).\nAnswer: -173*sqrt(19)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-6)\/54*6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/9 - 2906*z**4\/3 + 8716*z**3\/3 - 26146*z**2\/9 + 2905*z\/3 = 0. Calculate z.\nAnswer: 0, 1, 8715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9445440 + 3?\nAnswer: 9445443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 401*g + 44. What is the least common multiple of 316 and a(0)?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 2581*g**3 - g - 2580*g**3 - 2*g**4 - 1 + 6*g**2 + 4 to h + q*g**4 + c*g + r*g**2 + a*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -479.8 - -0.1?\nAnswer: -479.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (414\/184)\/((-105)\/(-30))*10\/9.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by 11\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 + 1. Let o(x) = -5*x + 3. Let p(f) = -8*f + 5. Let w(h) = 5*o(h) - 3*p(h). What is w(m(g))?\nAnswer: -6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - 60\/63. Which is the nearest to 2\/5? (a) 6 (b) z (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00441215 to four decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3479 divide 26966948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*o**2*z - 505*i*o*z - 51*i*z + i + 4*z wrt o.\nAnswer: -4*i*o*z - 505*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75877870?\nAnswer: 2, 5, 7587787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*m + 37168, 2*b = 2*m + 13533 + 1327. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-6)\/(-54) + (-10)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - -6) + -6 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 4*y**2 + 6*y - 9. Let t be l(3). Solve t = -8*p + 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(203\/14 - 3\/(-6)). Suppose 0 = 5*p - 9 - 6, 3*b + 2*p - i = 0. What is the biggest value in b, -0.5, -1\/3, -6\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 836 = 4*c, 0 = -3*c - 0*s - 2*s - 632. Let j = -1429\/7 - c. What is the common denominator of j and -41\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 4*l**2 - 56 - 68.\nAnswer: -l**2 - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67, -405, -1013, -1891, -3039, -4457?\n\"Answer: -135*j**2 + 67*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12150 and 3275.\nAnswer: 1591650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 41*i + 352. Let z(t) = -11*t**2 - 122*t - 1059. Let m(w) = -8*d(w) - 3*z(w). Determine b, given that m(b) = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41646 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 342 = 1836. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.03653, -33, -4\/11, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 3:03 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.830733 times 0.539?\nAnswer: 0.986765087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 18*a**2 - 52*a + 4. List the prime factors of r(-9).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = 15, -3*i = -5*a + 25. Solve 2*s - 4*r + 12 = 0, -s - 2*s - 6 = -a*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 13*p**2 - 13*p + 19. Let n be a(-14). Suppose -d + 0 = -5, 0 = n*t + 2*d - 30. Let y(h) = 4*h - 2*h + t - h - 1. Determine y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/32 and -7\/6896.\nAnswer: 13792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3864425*h**3 + 469*h**2 + h - 141 wrt h.\nAnswer: 23186550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 0, 5*n + 675 = 11*o - 6*o. Calculate the lowest common multiple of 45 and o.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:12 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.956 + 17.71. Let a = -9.4 - g. What is a rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*r + 53*r - 15*r**2)*(-6*r + 12*r - 366*r**2 + 0*r - 6*r) in the form t*r**3 + z*r**4 + l + y*r**2 + k*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c. Let b(j) = 8*j + 12. Let a(r) = 24*r - 12*r - 15*r - 3 - 2. Let i(p) = 12*a(p) + 5*b(p). Calculate i(w(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**3*o)\/(o**(-2\/29)\/o*o))**(-19)*((o**1)**18)**(-32) assuming o is positive.\nAnswer: o**(-16191\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 700 + -701. What is the closest to 5 in 0.2, 2, u, -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 298. Let w = k + -171. Is 24 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 588*l**3 + 3*l + 4. Let y be u(-1). Is -586 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131449*k**2 - 131269*k**2 + 262712*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36040632*a*j**5 - 2*a*j**2 - 175079*a*j - 223*a + 6*j**3 wrt j?\nAnswer: 720812640*a*j**3 - 4*a + 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.3 - 8. Let s = 14372 - 14375. Which is the fourth smallest value? (a) q (b) s (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*k + 5980 = 3070 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, 16, 25, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 + -89. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**15*u**(-5)\/u)**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a77552 + 4?\nAnswer: 3a77556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + -30 + 122 + -68.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Suppose 203 - 26 = -3*x. Is c\/2 + -3 - x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2 + 6*j - 3*j + 2*j. Let v be a(1). Suppose 4*z = -v + 23. Solve -3*l + l = -z*c + 17, 2*l = -2*c + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 573 - -3?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 2. Let q(x) = x**2 + 6*x + 2. Let v be q(-4). Let p be h(v). Solve -t = -5*t - 2*j - 16, 3*t - p*j = -23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 1820*n + 3626. Determine f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*c**4 + 13*c - 3*c**3 - 85*c**2 + 395*c**2 - 13*c wrt c.\nAnswer: 2112*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 3*i + 2*m, 215*i - 212*i + 3*m - 225 = 0. Solve -12 = i*v - 82*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 10*g + 17. Give m(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 8*g + 30. Calculate the smallest common multiple of i(-5) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257418 divided by -81?\nAnswer: 3178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -43398*b - 260432. What is g(-6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**8\/312 - 19*p**7\/1365 - 11*p**6\/780 + 43*p**5\/390 + 2*p**4\/39 - 20*p**3\/39 + 684*p**2. Find r such that c(r) = 0.\nAnswer: -1, 5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 135820166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -344 + 4470\/13. Sort 0.5, 0, a in decreasing order.\nAnswer: 0.5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/75 and -61\/63?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6199 is divided by 540?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*x + 126884, 4*c - 4*x - 25723 = 101161. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*s = 5, d + 25 = -d + 3*s. Suppose -4*c = 4*i - 2 - 2, -4*c - 1 = 3*i. Sort 3\/5, i, d.\nAnswer: d, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/11)*i*i**(-5\/6))**24 assuming i is positive.\nAnswer: i**(-100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v - 6*v. Let t(j) = j**2 - 5*j - 27. Let d be t(9). Suppose -60 + 24 = -d*a. Sort 1, v, a.\nAnswer: v, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -39 - 89. Let w be 4\/o*28 - 5. Solve -5*n + w*y + 35 = -2*y, -4*n + 4*y + 32 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awmawmmmmmae. Give prob of sequence wmem.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 - 7*j. Let c(w) = -36*w**2 + 9*w**2 + 15*w**2 + 5*w**2 + 5*w**2. Calculate d(c(v)).\nAnswer: -16*v**4 + 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1 + 2*u**3 + 8*u**2 - 8*u - 3*u**3 + 2*u**3 + 0. Suppose -12*c + 21 - 129 = 0. Determine w(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3123, 3114, 3107, 3102?\nAnswer: 3099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*g - n, -4*n = 4*g - 3*g + 11. Let u(m) = -m**3 - 5*m**2 - 5*m - 3. Let w be u(-4). Let z(a) = 2*a - 5 + w - 2*a + a. Calculate z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 991518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -103*o - 61. Let d(v) = 51*v + 31. Let b(k) = 5*d(k) + 2*m(k). Differentiate b(n) wrt n.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -874\/9 - -97. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1755, -4439, -7123, -9807, -12491?\n\"Answer: -2684*v + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/939 + -1157\/2191. Let h = -76\/21 + w. Calculate the common denominator of -47\/5 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102811.\nAnswer: 102811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -i + 22, -3*n - 2*i - 10 = -4*n. Suppose -n*g + 1547 = -253. Calculate the lowest common multiple of ((-27)\/(-15))\/((-1)\/(-5)) and g.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -131447 (d) 0.3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4480 = 16*t - 656*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(65) + (sqrt(65) + (-2*sqrt(65) - sqrt(65)))*4)\/((sqrt(35)*-1*6)\/sqrt(7)).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -220123203?\nAnswer: 220123200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - q - q + 5 = 0, 2*s + 5*q = 7. Solve x + s = -0*x, -x + 14 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q**(-6)\/q))**(22\/7)*((q*q**(2\/5)*q)\/(q*q*q**(4\/7)*q))\/(q*(q\/((q**(-2\/3)\/q)\/q))\/q)**35 assuming q is positive.\nAnswer: q**(-10628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3248138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 1715690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*a - 751*a + 92 = -0*l - 2*l, -3*a - 6 = -4*l - 2*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 3. Let g(y) = -2*y**2 + 2. Let m(b) = -3*g(b) + 2*w(b). Suppose k = 6*k - 40. Let t(v) = 8*v**2 - k*v**2 + 6*v**2. Give m(t(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 96622.47 hours?\nAnswer: 347840892000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 24*v - 19 + 19 to m + t*v and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 7*f**2 - 6*f + 6. Let z be t(8). Let b be 3*(-2 + z\/3). What is the greatest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-13) - (-1 - (-32)\/(-10))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 18258253*s + 18258252.\nAnswer: (s + 1)*(s + 18258252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22988713 is divided by 4597741.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8208 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlll when four letters picked without replacement from tlltttttlttll.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*s - 20185 = 0, -3*y - 2*s + 4*s = -12112. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(-18*14\/(-1176)*-44)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10501 (base 7) in base 10?\nAnswer: -2647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 - 6*u + 112 = 0.\nAnswer: -14, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 + 180 = 4*b. What is the remainder when b + (-5)\/(5\/(-4)) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16*w)**(-12\/13)\/(w**(1\/10))**(9\/2) assuming w is positive.\nAnswer: w**(-4197\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52231414 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119.1 - -125. Let q = p + 0.1. What is the second smallest value in -2\/15, -5, q?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126216, -126205, -126186, -126159, -126124, -126081, -126030?\nAnswer: -125971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4794?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8597274505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, 4.56, -0.1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -836140*u + 25920337. What is g(31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Let j(n) be the first derivative of -n**4\/12 + 3*n**2\/2 - 5. Let m(w) be the second derivative of j(w). Calculate m(t(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 12:58 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 1, 3*n = 3*j + 131 - 458. Let c = -38 + j. Let x = 150 - c. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -25*s + 32. What is the lowest common multiple of 4 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.810143 nanograms in milligrams?\nAnswer: 0.000000810143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + (-2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3429?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 1\/3, -8 in ascending order.\nAnswer: -8, -5\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14163.\nAnswer: 3, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 4. Let h be c(2). Let u be h\/(-3) - (-1 + -3). Solve 5*o + 35 = -u*t, 11 = -4*t + o + 2*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:09 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(2\/17))\/k*k**(-2\/5))\/(k\/((k**(2\/5)*k)\/k))**(-41))**(-5) assuming k is positive.\nAnswer: k**(-2132\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11190969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**5\/4 + 4*q**3\/3 - 8*q + 5. Let c(f) be the first derivative of j(f). Find the second derivative of c(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 13*a - 10. Let h(l) = l**2 + 7*l - 1. Let i be h(-6). Does 16 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*o + 206*o + 530*o in the form m + l*o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1381699 and 1381698 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0\/(-1))\/((-21)\/102*385\/2695)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**6*i*i)\/i*i*i*i)\/(i**(-6)\/i))\/(i**(-3\/4)*i*i*i**(-3\/7)) assuming i is positive.\nAnswer: i**(453\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 20 + 10 - 5*x**2 in the form o*x**2 + k*x + f and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 8) in base 15?\nAnswer: -d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -31, -61, -97, -139?\n\"Answer: -3*v**2 - 15*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-10))\/(216\/90*4\/16)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369*w + 936*w - 1847 = 413*w + 45 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, m: 4, h: 2}. What is prob of picking 1 w and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-2\/11)*j)\/j*j)*j**(-2\/5))**(-50) assuming j is positive.\nAnswer: j**(670\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163997544 a multiple of 2764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-846)\/(-30) + 3 + (-77)\/385?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 - -132. Are -0.1 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/10 - 34*o**3\/5 + 184939*o**2\/10 + 277639*o\/5 + 185136\/5 = 0. Calculate o.\nAnswer: -464, -2, -1, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = 4*g. Let t(h) = 4*h - 1. Calculate t(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.039 (b) -18 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1211 - -1211. Solve 0 = -2*z + 4 - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - m + 1. Suppose -f - 4*f = -50. Let n = f - 16. Let c be -5*(0 - n\/10). What is z(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 46337609, 1 in descending order.\nAnswer: 46337609, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3*o**2 + 2 + 0*o**2)*(22*o + 25*o - 18*o).\nAnswer: -58*o**3 + 58*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-5)\/(-60)*-9. What is the nearest to d in 1, 2, -6, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 20*n**2 - 23*n - 29. Calculate the remainder when v(-19) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -5, -2, 1, -37, -3 in decreasing order.\nAnswer: 43, 1, -2, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:04 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 1) + 6 + 8 - (-63 + -4 + 9).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -165, -157, -147, -135, -121?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*(6\/(-4) + 2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -7. Let r = -493.2 - -436. Let g = -57 - r. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2870, -2865, -2856, -2843, -2826?\nAnswer: -2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20263, -161652, -545409, -1292716, -2524755, -4362708?\nAnswer: -6927757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2764.606738 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 22455*g**2 - 37128816*g - 18806159424.\nAnswer: -3*(g - 3944)**2*(g + 403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.09383 centuries?\nAnswer: 109.383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(208))**2.\nAnswer: 8*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7161 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12*c**2 - 19*c**2 - 17*c**3 - 10*c**2 + 41*c**2.\nAnswer: -17*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114857*t + 82407 = -116259*t + 219803 for t.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 350 or -116089?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(1872) + 0 + sqrt(1872) + sqrt(1872)))**2 - ((-2*sqrt(1872)*-4 + sqrt(1872))*1)**2.\nAnswer: -84140 - 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -8) + -1 - (-11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**4 - 1320*n**3 + 265995*n**2 - 264670*n = 0?\nAnswer: -398, 0, 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + a + 4304 = -0*c, 0 = 4*c + 4*a - 8620. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.462 + -0.238. Let t = 47.3 - 53. Let i = r - t. What is the nearest to 0.1 in 3\/7, i, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**4 + 1574*x**3 + 104937*x**2 - 142194*x + 35680 = 0.\nAnswer: -446, -80, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 5 + b**2 + 6*b + 9. Let h = -1506 + 1512. Give y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413691723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 1. Let d(b) = -b**3 - 16*b**2 - 2. Let v be d(-16). Let x(k) = k. What is v*l(p) - 5*x(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 446512468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/14 and -52\/81?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:14 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -443647, -443646, -443645, -443644?\n\"Answer: k - 443648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22808\/6 + 24\/(-18). Let s be q\/9 - (-4)\/(-18). What is s rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*z + z + 27, -3*s - 2*z + 30 = 0. Suppose 32 - s = -5*g. Let a be 0\/(6*g\/8). Solve -4*l = 4*c - 10 + 2, a = 2*c - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13098 - 13098 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16303752 is divided by 71.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 31\/34, 1.531, -1, 1, 2 in increasing order.\nAnswer: -1, -1\/3, 31\/34, 1, 1.531, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121))\/sqrt(11) + (-1*sqrt(1100))**2)*3.\nAnswer: -6*sqrt(11) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4 + 3769*p**3 + 1771.\nAnswer: -8*p**3 + 11307*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + -399?\nAnswer: -37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 23*t**2 - 1009*t - 819. Determine l(-45).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/63)\/(88\/(-77))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244\/105 + 9617\/5250. Find the common denominator of -77\/500 and a.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2)\/(-102)*(-9)\/6). Let f = a - -28. Let x = f - -45. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skdfffudddfufsuu. What is prob of picking 3 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**3\/6 + b**2\/2 + 6*b. Let i(v) = -v + 1. Calculate i(c) - 2*z(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 680*f + 895?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**5 - 23415*g**4 - 46850*g**3 - 10*g**2 + 46845*g + 23425 = 0.\nAnswer: -1, 1, 4685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 + h**3 + 35 - 19 - 122*h + 223*h**5 - 15 wrt h.\nAnswer: 4460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.7, 8582, -0.7, -15?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896751\/47 at least as big as 82911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 1. Let s(p) = 2*p + 1. Let f(v) = -s(v) + z(v). Let a be f(-2). Let y(r) = -a*r**2 - 7*r**2 + 13*r**2. Let i(c) = -7*c**2. Determine i(y(o)).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 162259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p*p\/(p*(p\/(p**16*p))\/p))\/p*p)\/p)\/p)**(-33))**(-1\/34))**(1\/37) assuming p is positive.\nAnswer: p**(264\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, 6, -31, -132, -303?\n\"Answer: -p**3 - 23*p**2 + 97*p - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17177, -15997, -14817, -13637, -12457?\n\"Answer: 1180*m - 18357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32861 - 32839. Solve -46*d + 24 = -u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53246239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/16)\/z**(-2\/65) assuming z is positive.\nAnswer: z**(227\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + h**3 + 0*h + (-3*h + 3*h - h)*(2*h**2 + 2 - 2) + (-h - 2*h + 1 + 2)*(10*h + h**2 + 4*h - 5*h).\nAnswer: -4*h**3 - 24*h**2 + 27*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 125 + 2c?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5314904123*m - 3*m**3 - 5314904123*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 60\/1989*(-3738)\/12460\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.53 + 0.09. Let p = a - -0.04. Sort p, -0.2, 0.3 in decreasing order.\nAnswer: 0.3, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 420.7 - 314. Let z = i - 106. What is the smallest value in z, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0835+-54\nAnswer: -53.9165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160.8 - -18.8. Let k = -138 - r. Which is the nearest to 8? (a) 1 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 2*k**2 - k**4 - 6*k**4 + 0*k**4 + 4*k**4 + (-3*k - k**2 + 3*k)*(-2*k**2 + k**2 + 0*k**2) + (-k + k**4 + k)*(-2 - 2 + 6) + 0 + 4*k**4 + 0.\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 + -10)\/4 + 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55 * -15.5.\nAnswer: 8.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**7\/273 - i**6\/65 - i**5\/65 + 6*i. Factor j(y).\nAnswer: -2*y**3*(y + 1)*(y + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8856336 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - 55b61?\nAnswer: -55ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.914 + 0.086. Let i = 119 - h. Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445952 and 573989?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136\/15 - 26\/3. Let v = -15 - -104\/7. Which is the nearest to l? (a) -0.1 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/30 + 2*b**5\/5 + 5*b**4\/6 + 22*b**2. Factor f(o).\nAnswer: 4*o*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 611, 1671, 3083, 4847, 6963, 9431?\nAnswer: 12251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9388.41933 to one decimal place.\nAnswer: -9388.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 8272\/265?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2*1\/(-4)). Let h = -4 + d. Let t = 0 + h. Let v(k) = k + 8. Give v(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*736\/138?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3402071263 + -0.034\nAnswer: 3402071262.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.001041cm in nanometers?\nAnswer: 60010410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9053937.\nAnswer: 3, 19, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*c, c - 53*y + 48*y = -12. Solve -2*k - 22 = c*h - 0*h, 3*k = 3*h - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0667699535 to 5 decimal places.\nAnswer: 0.06677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {f: 3, y: 4, b: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83903682 by 18957.\nAnswer: 4426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.3436 + -4.36. Let p = z + -2.9836. What is the second biggest value in p, -3\/8, 1\/22?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.102 and -352.\nAnswer: 35.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 5, v: 7}. Give prob of sequence vv.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6956.766 litres?\nAnswer: 6956766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 2, a: 1, c: 1}. What is prob of sequence ah?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2*3)\/sqrt(6) + -3)**2 + 0.\nAnswer: 36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 + 6*j**2 - 60*j + 72 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001936388404 to 7 decimal places.\nAnswer: 0.0019364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4482, -5045, -5608, -6171?\nAnswer: -6734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 4*r**2 - 5*r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 1, b: 2, f: 9}. What is prob of sequence blff?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-8) - (-909)\/36 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22211 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: Calculate prob of picking 3 w and 1 t when four letters picked without replacement from wtwwwwwttww.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674291500.84 + -2?\nAnswer: 2674291498.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f**2 - 21*f - 65. Calculate b(-3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.957 + 0.043. Which is the nearest to -1? (a) 2\/7 (b) x (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 - (-290)\/35. Let y = 14 + -12. Solve x = -i + 3*w, 3*w = -i - y*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18)*-1*(-8)\/(-8).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g + 16 = 4*m, 0 = -3*m + 2*g + 23. Let b be 1 + -4 + 23 + 5. What is the greatest common factor of b and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 3:42 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 30 = -27*u. Let t be (u\/(-8))\/(3\/8). Solve 0*i + t*i - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -3 (b) 0.2 (c) -0.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1318972 and 1592?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437486933 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919*v**3 - 22574*v - 22576*v + 45150*v.\nAnswer: 919*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 431 and 32786170?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 414 = -79*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5728.14kg to micrograms.\nAnswer: 5728140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)*-42 - (-3 - -1). Let i be k\/(-154) + -1 + 2\/7. Let u(y) = y - 3. Let c be u(4). Which is greater: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202499891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-5 - 13)\/3. Is ((-2)\/v)\/((-2)\/8)*450 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 52?\nAnswer: -53\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.56456 to 0 decimal places.\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -41, -38, -37?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3.4. Let u = -3.62464 - 0.37536. Let m = -1.8 + 1.85. Which is the nearest to -0.3? (a) i (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41580 by -42.\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 3}. What is prob of sequence eee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/9)*x*x)\/x**(2\/17)*(x\/((((x**(-2\/21)*x)\/x)\/x)\/x*x)*x)\/x**2 assuming x is positive.\nAnswer: x**(4498\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 0.67252?\nAnswer: -0.470764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97.3 + 97. Which is the second smallest value? (a) 3 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341 + -20334?\nAnswer: -14443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 506*y - 33912. What is z(67)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 - 3*q**3 - 11*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(3\/7)*h))*h*h**(-6)*(h\/h**(2\/23))\/h**39)**(35\/6) assuming h is positive.\nAnswer: h**(-33535\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 < -3884\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189154\/5 - -37419. Let a = m + 412. Factor 0*k - 3\/5*k**3 - 2\/5*k**2 - a*k**4 + 0.\nAnswer: -k**2*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/(-658) + 36\/(-14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.12 (b) -2\/27 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + 11 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/(-10))\/(((-3)\/10)\/(1728\/(-3456)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 699392 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away 0.10986350217?\nAnswer: -0.14986350217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30612733 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -18*l**2 - 31*l - 526. Let j(b) = -7*b - 6. Give -11*j(v) + 2*u(v).\nAnswer: 5*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 4*n + 4. Let l be h(-4). Let u = l - -1. Solve 3*a - u - 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 78.\nAnswer: -29\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3*u**3 - 3*c**3*u**2 + 737*c**2*u**3 + 3*c*u**2 - 51*c*u + c - 1202*u**3 - 20*u**2 + u wrt u.\nAnswer: 18*c**3 + 4422*c**2 - 7212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*o - 2 = 0, 3*t - 10 - 10 = -o. Suppose 8*f - t = 9. Does 14\/5 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444607 to the power of 1\/2, to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 5*k = 3, 0 = -4*a - 2*k + 12. Let h = -12 + 18. Let j(i) = 2*i - h*i + 4 + 2*i. Give j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52850855663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 22 = -40 - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 5:51 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -826, -759, -692, -625, -558?\n\"Answer: 67*l - 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 330358846 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-86)\/(-12))*(-170 - -176).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:41 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 6. Let u = -0.731 - 0.269. What is the nearest to u in g, 2\/3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.6042 + 0.11680956.\nAnswer: 19.72100956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.4. Let x = 0.1 + -0.1. Let d = x - y. Which is the nearest to -0.1? (a) d (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -38, 2\/9, 20354, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*c + 1938 = -120*c. Suppose 3*o + c = o. What is o rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -694*i**3*q - 4794613*i**3 + 66*i**2*q - i*q + q with respect to q.\nAnswer: -694*i**3 + 66*i**2 - i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.04 and 5?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -282, -281, -280?\n\"Answer: g - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:31 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:09 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let n(s) = 4*s + 3. Let u(o) = -4*k(o) + n(o). Suppose 0 = 3*f - r + 22, -27 - 3 = 4*f - 2*r. Let x(j) = -9*j + 1. What is f*u(i) - 6*x(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 35.7. Let d = -155.3 + q. What is d rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -279 (b) 1\/3 (c) 2 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -942*((-10)\/(-12) - (-5 + 6)). Let u = i - 152. Let d = 10 - 6. Sort 2, -0.2, d, u in descending order.\nAnswer: u, d, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -168108?\nAnswer: -168117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**13*(s**(-7)*s*s*s)\/s**3 assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s - 12*s - 112 = 55*s. What is the third biggest value in 0.56, s, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-7 - (-7 - 30)) - -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 5*j + 2. Suppose 0 = -f + 3*f + m - 1, -4*f + m = -17. Calculate g(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*g + 2 = 0, -2*x + 178 - 188 = -3*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1249.1 - 1249. What is the nearest to 1\/3 in -2, -13, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24763645*d**3 + 7079014*d**2 wrt d?\nAnswer: 148581870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 24. Calculate the remainder when 24\/(-2)*(-5)\/2 is divided by q(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/6)\/(29\/(9048\/(-130)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 124.0101. Round y to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 92. Let b = i - -64. Suppose -31 = -2*t + g, -t - 3*g + b = -12. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -603352549*h**2 + 659337482 wrt h?\nAnswer: -1206705098*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 + 113410*n + 643091405 = 0. What is n?\nAnswer: -11341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1604 - -21051?\nAnswer: 22655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.34 + -42. Round k to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.7 (b) -0.19 (c) -0.2 (d) -13\/3 (e) 15.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 17 = 2*t, 11 = -0*t - t - 5*j. Let p(f) be the first derivative of -f**2 + t*f - 2\/3*f**3 - 3. Factor p(m).\nAnswer: -2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -55, -89, -141, -217, -323, -465, -649?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*v + 72*v - 68*v**2 + (-49*v + 91*v + 204*v)*(-6*v + v + 4*v) in the form t*v + i*v**2 + p and give i.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kklk when four letters picked without replacement from kwlhkck.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 0. Let c = -7 + r. Let l(n) = -132*n**3 + 2*n**2 - 1. Is l(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - -1) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 3*k**2 + 7. Let u(n) = 3*n**3 + 4*n**2 + 8. Let l be (-22)\/275 + ((-184)\/200 - -5). Determine l*q(h) - 3*u(h).\nAnswer: -h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l + 6, -t = 5*l - 271. Suppose 2*m - 4*h - t = 0, 5*h = m - 60 - 77. Does 52 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.27 + 0.07. Let b(z) = z**2 + z - 3. Let x be b(-3). Let m be ((-1)\/2)\/(-8*8\/(-512)). What is the second biggest value in x, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 1}. Give prob of sequence mii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48674 or -48658?\nAnswer: -48674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from mmmmmmrrrrm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 111100000010001000000 (base 2) to base 10\nAnswer: 1967168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/16)\/(-5))\/(((-22)\/1)\/176)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148490 is divided by 231.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -322*n - 147369. Calculate r(-458).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461652994234 take away -1.8?\nAnswer: 1461652994235.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 2 - (195 - 211).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101101011010 + 1?\nAnswer: -100101101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371331 (base 8) in base 16?\nAnswer: 5f2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6 - 4. Suppose 5*i = 3*q - 34, -q - l*i + 3*i = 7. Suppose q*d - s = 55, -d + 41 = d - 5*s. What is the highest common divisor of 144 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13310?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a factor of 12110527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.92319ml to litres.\nAnswer: 0.05492319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 4596*k + 78710.\nAnswer: -2*(k - 17)*(k + 2315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n - 10, -4*r + 4*n = -100. Suppose 3 - r = -i. Suppose -x = 4*x - i. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45634760 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.4, 1\/84?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -11 (b) 0.4 (c) -400 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(((-63)\/(-6))\/(-7))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10326155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiixxiiixiii. What is prob of picking 2 i and 1 x?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7579 or -12121?\nAnswer: -12121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-2))\/(4\/8). Suppose 6*a - a = 4*t, -3*a = -s*t. Find the second derivative of t*j - 7*j - 2*j**4 - j wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124066 is divided by 3024.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011001011100 (base 2) to base 5.\nAnswer: 303240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9000118 - 1.9. Round a to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/6 - 67*p**3\/6 - 763*p**2\/6 - 557*p\/6 + 231 = 0.\nAnswer: -9, -2, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 365 - 361. Calculate the highest common factor of k and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 13 + -6 - (-10 + (6 - -6))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031184 (base 10) in base 7?\nAnswer: 11523240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 18743529841.\nAnswer: 18743529845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 348*n**5\/5 - n**4\/2 - 13*n**3\/3 + 7*n**2\/2 - 495. What is the third derivative of h(k) wrt k?\nAnswer: 8352*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253361 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8762, 5, 40 in decreasing order.\nAnswer: 40, 5, 0, -8762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6704610, -13409213, -20113802, -26818377, -33522938, -40227485?\nAnswer: -46932018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 + 18*p**2 + 15*p**2 - 47*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 23806 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 - 69*s - 139. Calculate u(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + -15 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b + 4*u + 35 + 4, -5*u + 9 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 809 and 1288205487?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*n = -50, -2*n - 78 = -0*i - 5*i. Suppose 16*j - 238 = -78. What is the smallest common multiple of i and ((-88)\/j)\/(5*6\/(-75))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2019, 4083, 6139, 8187, 10227?\n\"Answer: -4*k**2 + 2076*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49588*c**4 - 30357*c**2?\nAnswer: 1190112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5962968321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/20)\/(26\/(-65)))\/((-2)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r + 48*r - 7200. Solve -16*s = -56*s - r for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -926 - 42*t**2 + 926 to the form p*t + w*t**2 + k and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -417*f**4 + 100*f**4 - 120*f**2 + 3*f + 2*f**3 - 60*f**4 - f + 123*f**2 to the form h*f + g*f**2 + j*f**4 + r*f**3 + y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 - 3 = -2*i, -5*o = 5*i - 50. Which is the nearest to -1? (a) -0.2 (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.9 + 1?\nAnswer: 611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 960.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 3. Which is the closest to 0? (a) q (b) 1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i*(i**(29\/4)*i)\/i)))\/i)\/((i*i**(-34)\/i)\/i))\/(i**(-9)*i**(-29)*i))**37 assuming i is positive.\nAnswer: i**(11729\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 153 - 51 = 0. Suppose -18 = -3*y - 3. Solve 1 = z + 5*u + 19, 0 = -3*z + y*u + x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (-3 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*r - 12, 5*f = -5*r + 7 + 8. Suppose -f*i + 438000 = -6*i. Round i to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94*140.2\nAnswer: -13178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 1. Let q(a) = 3 - 5*a + 5*a - 3*a. Let m(b) = -i(b) + q(b). List the prime factors of m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**2 + 19*o - 19*o + (3 - 8*o + 2*o + 4*o)*(-25154 + 25154 - 32*o) to a*o + n*o**2 + p and give n.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhoiiihhodo. What is prob of picking 1 d and 1 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/9 + 88*i**2\/3 - 185976*i - 669495232\/9 = 0.\nAnswer: -574, 1016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*o = 39*o - 7840 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -39, 1, 0.\nAnswer: -39, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -415823.2506 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 1 + (3395 - 3298) - 7\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u - 46. Let q(w) = -8*w - 6. Let i(z) = 3*z + 2. Let j(f) = -3*i(f) - q(f). Calculate j(k(p)).\nAnswer: 4*p + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26446 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24552 or -24551?\nAnswer: -24552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676878?\nAnswer: 2, 3, 37, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**7\/21 - 2*w**6\/15 + 3*w**5\/10 + 4*w**4\/3 + 4*w**3\/3 - 3*w. Find z, given that i(z) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394 - 390. Suppose y = 6*y. Which is the closest to 7\/4? (a) z (b) 3\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90979 is divided by 30315?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155330383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 22. Is (m\/(-9))\/((-2)\/2706) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4238888 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + p = -p - 792 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - (-8 - -53)) + 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6983*l - 167793. Give r(-24).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1647 (c) 32\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -224, -0.6 in descending order.\nAnswer: -0.2, -0.6, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218455 - 218455 - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17590 = -5*w + 19421 - 5096. What are the prime factors of w?\nAnswer: 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 2*d + 8*d + 8*d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Suppose -4 = l*p - 2*p. Is p\/4*-1*32 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2801\/2728 + -6516511\/892056. Let m = 503\/12644 + -11\/116. Let j = u + m. Find the common denominator of j and -43\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(405) + 2)*2)**2 + -4 + (sqrt(405)*-1*5)**2.\nAnswer: -288*sqrt(5) + 16617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - (-69)\/(-24)) + 715\/200 and 81\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) + 518\/4 - 3. Let v(u) = 5*u + 10. Let k be v(9). Let y = a - k. List the prime factors of y.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 1.41 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(1\/5)*n)\/n*n*n*n**(-7)*n**(1\/9)*n\/(n*n**(-1\/8)\/n))\/((n**(-1))**(3\/20)*n**(2\/11)*n**(-1\/8)) assuming n is positive.\nAnswer: n**(-1223\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 31 = -0*h. Suppose 3*l = 3*g + 2*g - 29, -4*g = -5*l - h. Let s(m) = -m**3 - 3*m**2 - 4. Calculate s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, q: 1, s: 3, v: 1}. Give prob of sequence la.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 14*r**3 - 2*r**2 + 7*r - 2. Let b(l) = -56*l**3 + 9*l**2 - 27*l + 9. Let a(d) = 4*b(d) + 18*s(d). What is the second derivative of a(x) wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + 45. Suppose -3*k = -4*q - 84, -3*q = 4*k - 3*k - x. Suppose 6*z - 2*t - 246 = 2*z, 6 = -2*t. What is the highest common factor of z and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7652*f**3 + 3*f**2*n + f**2 - 2*f*n + 23*f - 568*n + 2 wrt f.\nAnswer: -45912*f + 6*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - 0 - -5 - (-128)\/2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 669335, 1338651, 2007959, 2677259?\n\"Answer: -4*z**2 + 669328*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163630580 is divided by 7786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -72733482?\nAnswer: 5091343.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 0.07, 55 in decreasing order.\nAnswer: 55, 0.2, 0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/5 (b) -6\/7 (c) 0 (d) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16 from 24381.947.\nAnswer: 24382.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 41824834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6722542 days in microseconds?\nAnswer: 58082762880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3534 - 31744\/9. Let t be 5*-3*(1 + 0). Find the common denominator of r and 5\/t*(-82)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -129\nAnswer: -8\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**(-6\/7)*t)*t**(3\/4)*t*(t**(-1))**(9\/2))\/((t*t**(-3)\/t)\/t**8)**24 assuming t is positive.\nAnswer: t**(7339\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -8*b - b. Let w = b + 1. What is the least common multiple of w and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11382.1+-0.2\nAnswer: -11382.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 3*m)*(2*m**2 + m**2 + 4*m**2) + (-2*m + 0*m + 3*m)*(0*m**2 + 0*m**2 - 2*m**2).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3052228, 3052230, 3052232, 3052234, 3052236, 3052238?\nAnswer: 3052240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 6*h = 0. Which is bigger: -1\/46 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-2)\/35 - (-45)\/(-133). Are 1 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*c - 4*c + 48, u + 5*c = 8. Suppose u = -4*o + 5*o. Suppose -1 + 7 = -3*a, -b - 5*a + 53 = 0. Calculate the remainder when b is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*x + 1 - 2*x + (-19 + 0 - 15)*(5*x + x + 2*x + (4 - 4 - x)*(-3 + 7 - 3) - x + 0 + 0 - 1 + x + 1).\nAnswer: -236*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:19 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-1*4)**2 - (sqrt(48) - (sqrt(48) + 2))**2*-3.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 198152, 1, 3 in decreasing order.\nAnswer: 198152, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2\/8 + 268329*w\/8 + 8128350 = 0.\nAnswer: -89200, -243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3611338, -14445506, -32502454, -57782182?\n\"Answer: -3611390*c**2 + 2*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -8.9. What is the closest to 0.2 in 1, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6447.4 + 6447. Which is the smallest value? (a) 0 (b) -3 (c) f (d) 1\/3 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhqqhokzhvqvq. Give prob of sequence vqqz.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kki when three letters picked without replacement from krikh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -300 in -2\/3, 0.2, -0.4, 2\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 4. Let x(h) = -6*h + 7*h - 3*h**3 + 3 - 5*h - 7 - 4*h**2. Let b be x(-2). Let n = 17 - b. What is z(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -5*n**4\/24 - n**2. Suppose 3 = -50*m + 51*m. Let i(p) = 0*p**2 - m*p**2 + 3*p**2 - 2*p**2. Give i(q(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (610 - 574) + (-15 - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*h = -0*h - 9, 0 = -4*h + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1361554, 1361549, 1361542, 1361533, 1361522?\nAnswer: 1361509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66448 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76705 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2145 (base 7) to base 3.\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 114 = -16. Let g be 1 + 2*i\/60. Is g greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f - 2. Let r be (-5 - (-1 - 3))*(-99 + -2). Let b = 103 - r. Calculate h(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989228278?\nAnswer: 2, 3, 498204713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2436, 2787, 3138, 3489, 3840?\n\"Answer: 351*c + 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from wsuwsrsfusuwsubff?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -504, -503, -498, -489, -476?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.409293 and 1949.1.\nAnswer: 1954.509293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*p = -s + 405*p - 20, -4*s - 5*p + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12893*t + 12785*t - 2916 = 0 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 - 92*r - 1235. Let s be l(-16). Calculate the greatest common factor of 185 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 68924\/3 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/1)\/((-2)\/(-28)). Suppose -40 = q - n. Let s = -316\/9 + 35. Calculate the common denominator of s and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 1187355139?\nAnswer: 1187355144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + (sqrt(119) - (((2*sqrt(119) - sqrt(119)) + sqrt(119) - sqrt(119)) + sqrt(119)))\/sqrt(7) + (sqrt(17) - sqrt(17)*-1) + 0)**2.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = 14*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*1.4.\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-8))\/7*-2. Let g(w) = 9*w + 1. Let b be g(p). Solve -2*j = -3*j - 5*u - b, 0 = -2*j - 3*u - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5307 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 93*o - 2002. Calculate s(-40).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1099956\/715 - 6\/(-10). Let t = -3077\/2 + a. Determine s, given that -2*s + 5\/2 - t*s**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 350514 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: Put together 0.09 and 11216050.\nAnswer: 11216050.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5707*x**4 - 2*x + 1499?\nAnswer: 68484*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4229000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -8, -7, -4 in increasing order.\nAnswer: -8, -7, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865892 is divided by 1313.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34012 and 76817648.\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Let z = -1 + 2. Let u = z - c. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118347078 to the power of 1\/2, to the nearest integer?\nAnswer: 46026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2450258 or -2450262?\nAnswer: -2450262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 3*y + 3*y**2)*(0 + 2 - 4)*(3*y - 3*y + 2*y) in the form r + i*y + z*y**2 + j*y**3 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l = 260. Let q = l - -97. What is the remainder when q is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -10111?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 48. Factor -j*f**3 + 0*f**2 - 4*f + 0*f**3 + 6*f**2.\nAnswer: -2*f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 0*u**2 - u**3 + (u**2 - 3*u**2 + 4*u**2)*(-22 + 22 + 16*u).\nAnswer: 31*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -78. Are 2\/1365 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 89 * 15\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*l, 20 = z - 6*l + 2*l. Suppose -z*i + 6*i - 6 = 0. Solve 0 = -4*p - i - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/2 of a millennium?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -250, -257, -264?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -93*t + 1902. Let n be w(20). Solve 66*o - n = 59*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(190) - (sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190)*4)*5) + sqrt(190))))\/(sqrt(120)\/sqrt(300) + sqrt(360)*1))**2.\nAnswer: 1005100\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -29 (c) 1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -131113320 (base 4) to base 7\nAnswer: -1010523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5*q**2 + 3653*j**5*q + 3*j**2*q**2 + 283*j**2 wrt j.\nAnswer: 120*j**2*q**2 + 219180*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4814 + 688405\/143. Suppose -26*t + 6623 = 6649. Is t > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11217407?\nAnswer: 11217407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5748?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 22*j = -5*o + 789, 3*o = -2*j + 795. What is the remainder when j is divided by 144?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299.871 times 1\nAnswer: 299.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/9108 and 31\/16164.\nAnswer: 4089492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3\/9*3. Suppose 3*x = -d*x - 3*j - 93, x + 2*j + 32 = 0. Let z = x - -46. Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 - 2*i**2 - i. Let u be h(-1). Suppose u*o + y = 2*y + 11, 3*o + 3*y - 27 = 0. Let g(d) = -d**2 + 6*d - 6. Calculate g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0950036606 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9719 is divided by 199.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -130*o + 25. Let t(k) = -350*k + 74. Let j(h) = 3*t(h) - 8*w(h). Give j(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3521815 * -0.2\nAnswer: -704363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.94765 rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1601 + 3?\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.53684 - 0.3.\nAnswer: -5.83684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -132593880 divided by -1104949?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*a + 485, -2*a = 5*m + a - 1160. Calculate the remainder when m is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - 29e92?\nAnswer: -29e85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + 12582?\nAnswer: 12566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olooolooooollvgoloo. What is prob of sequence olgl?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.09 (b) -2 (c) -0.06 (d) 0.1 (e) 62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1737 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2151*u**2. Let o(q) = -5*q. Determine o(r(j)).\nAnswer: 10755*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 4*n + 2. Does 11 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -6*sqrt(1573) + (sqrt(1573)*4*2 - sqrt(1573)))*5*6)**2.\nAnswer: -19800*sqrt(13) + 1416600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmkq when four letters picked without replacement from kkqqkkkmkwkkkk?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, -5, -0.4, -1\/4, 4\/37, 1?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/5 + 210514*j**3 + 276950638393*j**2\/5 - 2659089907824*j + 159552670165056\/5 = 0.\nAnswer: -526309, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/((-11)\/165).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k + 21. Let x be r(0). Calculate the highest common factor of 231 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26299 and 1309.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 7:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5073\/290 - 1\/145. Let y = -65\/4 - h. Let g = 2 - 5. What is the closest to -0.1 in -1, y, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -64, -141, -244, -373, -528?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3219*r**3 - 5*r + 4. Let u be 2*2 - (12 - 12). Let a be f(u). What is a rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227143 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 774 = 2*h - 802, -3*h - 14 = -2*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -28*r + 85. Let s be y(3). Let p be -2*(2 - 7\/2). Suppose 0 = a - p*a + 22. What is the greatest common divisor of a and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 651 by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4917873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632205 is divided by 14444?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35\/2 + 529\/30. Let i(l) be the third derivative of 0*l + 0 - 1\/6*l**4 + 1\/30*l**6 + t*l**5 + 7*l**2 - 4\/3*l**3. Determine z, given that i(z) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 513 and -167041.\nAnswer: -85692033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 42a28938?\nAnswer: 42a28941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 - 5 - 1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, -30, -143, -298, -501, -758?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 3*u - 5213 = -21*x, -2*x - 7*u = -2118. What is the highest common factor of 165 and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/20 - 9*-1. Suppose -3*u - 13960 = -q*u. What is u rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/2 - 729*d**2\/2 + 1074*d + 1440 = 0. Calculate d.\nAnswer: -1, 4, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.22136 millimeters to nanometers.\nAnswer: 89221360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -2.2. Let n be 1*(-6)\/120 + (-3)\/15. Let a = 2\/1617 + -296\/1617. What is the nearest to 0.2 in j, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92130 and 543752.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 66*h + 519. Give g(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/6 - u. Let q(l) be the first derivative of 8*l**3 - 146. Calculate q(f(j)).\nAnswer: 96*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2 + 26*s - 12. Let o be h(6). What is the greatest common divisor of 36 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/120 - h**4\/24 - h**3\/3 - 3*h**2. Let y be o(-2). What is the remainder when ((-30)\/y)\/((-9)\/120) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 115, 118, 121, 124, 127, 130?\n\"Answer: 3*v + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200091*q**3 + 0 + 200104*q**3 + 4)*(q**2 - 3*q**2 + q**2).\nAnswer: -13*q**5 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*y + 681*y - 4349 = -381 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7252.0668 to the nearest integer.\nAnswer: -7252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1402 or -1391?\nAnswer: -1402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 40?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 61 = -p - 16*j, 254 = 4*p + 3*j. Let a be (20\/(-2))\/(3\/(-9)). Suppose -y - 2*h - a + 8 = 0, p = -5*y + 5*h. Put 4, 5, y in ascending order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 26. Let w(x) = 6*x - 78. Give -8*a(b) + 3*w(b).\nAnswer: 2*b - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w**5\/2 + 44472*w**4 + 216194301*w**3\/2 - 8787958557*w**2 + 172727930160*w + 119089732800 = 0 for w.\nAnswer: -4981, -2\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*u - 6*u - 8, 0 = 4*u + 3*p. Factor -7*k + k**u - 2*k**3 + k**2 + 8*k - 1.\nAnswer: -(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 2*u - u)*(-7*u**2 - 6*u**2 + 9*u**2 - u**3).\nAnswer: -3*u**4 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i - 2*i**2 - 34 + 2*i**4 + i**4 + 36 as s*i**2 + w*i + b + f*i**4 + a*i**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 12:45 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 1, -2, 4 in descending order.\nAnswer: 4, 1, 4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412736.26 - -57.493?\nAnswer: -1412678.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*g - 32. Differentiate 50*r**g + r**4 + 21 + 0*r**4 + 43*r**4 with respect to r.\nAnswer: 376*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 5*q + 129. Let p be y(-14). Find the second derivative of -10 + p*f - 6 + 199*f**2 + 6 - 8 wrt f.\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*p + 4*p + 134*p + p + 19*p + 2*p**3.\nAnswer: 2*p**3 + 253*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r + 3, -6 = -4*m + 2*r. Let l be 4\/(3\/(3\/1)). Solve l*o = g + 4*g - 6, m = o + g + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649393985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -111100010010100?\nAnswer: -111100010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10395 + -10391. Sort t, 0.68, 45 in decreasing order.\nAnswer: 45, t, 0.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/6 - 41*p**3\/6 + 85*p**2\/2 - 150*p - 1. Differentiate f(h) with respect to h.\nAnswer: -4*h - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11888553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31\/364 + -3\/52. Sort -5, -1, b in descending order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1812 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ininrnsrxxyyiyn. Give prob of picking 1 y, 1 n, and 1 i.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -204, -52, 100?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/6 + (2 - 0). Solve 0 = -x + u - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-45)*(-1)\/((-10)\/4).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6654 + 6648. Put 1, s, -3, 4 in increasing order.\nAnswer: s, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 70 + 66. Suppose 14 = 3*p - s. Suppose -q + p = 3*q. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5514.253 - 5519. Round v to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37825 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 10*b + 14. Let k be 5 - 0*4\/12. What is the tens digit of u(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.95 - 3. Let n = -0.05 + a. Sort 4, n, 1 in decreasing order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51380 and 1.455.\nAnswer: -74757.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 85*k + 1470. Give r(-21).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.8 + 13. Let c = z - -3.4. Round c to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 + 29 - 2*r - 40 + 10*r.\nAnswer: 8*r + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 8*d. Let r be s(-8). Suppose r = -k + 3*k - 10. What is the second derivative of 2*a**2 + 4*a - k*a - a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5858 - 5848. Solve t = 3*q + c, 4*q - 6*q = -3*t - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/7))\/(c*c**(-3))*(c*c**(-1))\/c**4 assuming c is positive.\nAnswer: c**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.12, -15\/7, 14\/33, -0.5, -3, 3?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 256 = -3*t, -3*t + j = -6*t + 241. Calculate the remainder when t is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 + 4080*k**4 + 184525*k**3 + 156030*k**2 - 1082880*k = 0. Calculate k.\nAnswer: -768, -47, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3055481 kilograms in tonnes?\nAnswer: 0.0003055481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70457 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2 (b) -3\/17 (c) 5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 43044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (10\/(0 + 10))\/(1\/20) and 85?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 225 = -u. Let f = u + 2398. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13699?\nAnswer: 7, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*r**2 + 757*r**2 - 3*r**2 + 394*r**2 + 1 - r**3 + 3*r**3 to the form c + g*r**3 + j*r + i*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.76437 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354386 is divided by 17144.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -1\/54*z**4 + 1 + 0*z**3 + 1\/9*z**2 + 2*z. Let c(t) be the first derivative of o(t). Factor c(r).\nAnswer: -2*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37643 + 12357. What is l rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 42. Let f be d(11). Suppose 0 = -3*w + f*b + 1261, 782 + 884 = 4*w + 5*b. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 7. Let i be q(0). Let x(k) = -k**2 - 7*k - 5. Let p(j) = -1. Let g(b) = 3*p(b) - x(b). What is the units digit of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193086310.\nAnswer: 2, 5, 19308631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100205 - 799597\/8. Which is smaller: 256 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6944 = 4*h + 3*n + 6925, n + 8 = 3*h - 3*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = 0, -g + 201 = 3*g - c. Suppose -a - g = -5*a + 3*l, a = -4*l - 11. Calculate the remainder when 79 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 966*x**5 + 2*x**2 + 105 wrt x.\nAnswer: 57960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/7 + 55*w**4 - 767*w**3\/7 + 383*w**2\/7.\nAnswer: -w**2*(w - 383)*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 5447 + 736. What are the prime factors of y?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 < -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84410 divided by -5.\nAnswer: 16882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 10. Suppose 3*m - x*m = -50. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5248 - 5349. Is 1.9 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/2)\/((-8)\/60). List the prime factors of z\/60 + (-161)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 186*q - 21*q - 6 + 6.\nAnswer: 165*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -135\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 3. Let y = k - -5.2. Let q be 10\/8*(-2 + 3). What is the biggest value in y, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(u - 3*u + 3*u)*(1 + 1 - 5) + 3 - 3 - 6*u to a + m*u and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -72*k + 75*k. Let d(t) = t**2 + 11*t - 13. Let a(h) = 6*h - 7. Let j(c) = k*d(c) + 11*a(c). Let n be -1*(1 + 0\/(-1)). Calculate j(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -26*t + 27*t - 20*t. Put -2, 5, 3, t, 27 in descending order.\nAnswer: 27, 5, 3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 74*p - 15. Let i(u) = 35*u - 7. Determine -9*i(y) + 4*o(y).\nAnswer: -19*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 12, j: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 323, 414, 593, 890?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 11.4463.\nAnswer: 45.7852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x - 38*x - x - 384 = 0. Solve 28 = -x*m - 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2923000 and 116920.\nAnswer: 2923000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4232*r - 50787. What is j(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 865242809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.14 - 31.84. What is s rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9110 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4003 + 4002. Suppose u + 3*u = -8. Let w be 178\/12 - (-4)\/24. Sort q, u, w in increasing order.\nAnswer: u, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260 - 254. Let x = -35.5 - -35. Let c = -89\/120 + 3\/40. What is the second biggest value in 3, c, x, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -5 - (-5 + 7 + 1 + -2)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1033868*d**4 + d**2 + 2445296*d.\nAnswer: -24812832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b - 233*b - 1 + 1.\nAnswer: -178*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 3. Let m(j) = j**2 - 25*j - 122. Let h be m(29). Give c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 365\nAnswer: -365.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643515*f - 369652*f - 77310*f.\nAnswer: -1090477*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 61*z**2 + 292*z + 76. Calculate d(55).\nAnswer: -2014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*6\/(-4)*(-495)\/(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k - 4. Let r = 6 + k. Differentiate r*p + 3 + 0 - 2 with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-2))\/(-9) - (-1075)\/150. Suppose v = -3*z - 2*v - 3, -3*v = -4*z + 31. Suppose -r*d**5 - 15\/2*d + 6*d**2 - 3 + 15*d**3 - 3*d**z = 0. Calculate d.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 12:15 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-42)\/(-30)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, -11, -3.6, 2\/3, 0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 6*p - 5. What is the units digit of o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 11*d**2 - d - 17. Is b(6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**5\/20 + 5*c**2\/2 + c - 7. Let g(j) be the first derivative of i(j). Is g(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 2*l - 9*l. Calculate the lowest common multiple of 4 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72071\/9870 - 2\/987. Let c be ((-2)\/(-5))\/(5379\/12210). Let r = c + 21623\/2934. What is the common denominator of r and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9671 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83832567?\nAnswer: 3, 7, 13, 307079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.7 - -36. Which is the second biggest value? (a) -0.3 (b) 0.5 (c) o (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201043685.\nAnswer: 5, 227, 177131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 10*d + 14. Let w be p(-11). Solve -r + 2*x = -3*x - 14, -w*r + 5*x = -12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = -5. Let s(h) = h**3 - h + 1. Let o(y) = -6*y**3 + 5*y**2 - y - 5. Let b(m) = u*s(m) + o(m). Let t = -3 - -7. Determine b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/30 + 9\/12. Suppose -5*u + 20 = 0, 0 = 6*r - r - 2*u - 2. Suppose 0 = 2*v + r*v - 4. Is v at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-11)*t*t**10*(t\/t**12)**(-2\/47) assuming t is positive.\nAnswer: t**(69\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17076 and -0.5727603.\nAnswer: -17076.5727603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -41\/270 (b) 5 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -197. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*n + r + 15, 4*n - 27*r - 80 = -32*r for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (397\/(-18659))\/((-23)\/47).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -25*l + 6. Let c(a) = -20 + 48219*a - 48215*a + 19. What is 39*c(h) + 6*m(h)?\nAnswer: 6*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let x = -987 + 986. Let t(u) = -6*u**2 - 1. Let g be 4\/(-10) - 51\/(-15). Determine g*k(y) + x*t(y).\nAnswer: 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2, 77 in descending order.\nAnswer: 77, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7 = -3. Let n = 5 + f. Let m(v) = -v**3 + 5*v**2 - 4*v. Give m(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p. Let o(l) be the third derivative of -l**4\/8 + 8*l**2. Let q(g) = -4*i(g) - 3*o(g). Let f(w) = 11*w**2. Determine q(f(m)).\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953137.\nAnswer: 101, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 159. Which is the third biggest value? (a) n (b) -8 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*-2)\/sqrt(5)*-2.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 749099*l - 1079. Let v be r(21). What is v rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 120, 222, 322, 420, 516, 610, 702?\n\"Answer: -u**2 + 105*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - g)*(21*g + 25*g + 32*g)*(0*g**2 + 5*g**2 + 2*g**2).\nAnswer: -1092*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18*(-6)\/6)\/((-8)\/(-4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100011000101001100001 (base 2) to base 7.\nAnswer: 144034001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128395573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 61152 = 27*v. Calculate the highest common factor of v and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 403\/15. Let w(t) be the first derivative of 1\/15*t**6 + j*t**3 + 0*t + 3\/10*t**4 - 6 + 6\/25*t**5 + 0*t**2. Factor w(d).\nAnswer: 2*d**2*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001043 to 5 decimal places.\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465, 476, 485, 492, 497?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = -w, -4*w + 144 = -4*g. What is the biggest value in -4, 4, -1, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**11*i)**21 assuming i is positive.\nAnswer: i**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 54 = 2*c - 168, 6*c - 142 = -4*w. What is the highest common factor of 5160 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3230 (base 4) to base 12\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12473425, 12473392, 12473359, 12473326, 12473293, 12473260?\n\"Answer: -33*k + 12473458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21730, -21731, -21734, -21739, -21746?\nAnswer: -21755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41621?\nAnswer: 41621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1368*c**3 - 51*c**2 + 5*c + 3901. Let d(a) = a**3 + 17*a**2 - a. Let w(h) = 3*d(h) + u(h). What is the first derivative of w(p) wrt p?\nAnswer: -4095*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*n + 270 - 287, 2*g - 4 = -n. Which is the closest to 0.4? (a) 5 (b) -1\/4 (c) g (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xda when three letters picked without replacement from {l: 1, a: 1, t: 1, y: 1, d: 2, x: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47867 - -84256. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 7*a**4 - 14)*(3 + a - 3).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.0792\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 123. Let o = b - -86. Which is greater: 12 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 871, 900, 921, 928, 915, 876, 805?\n\"Answer: -x**3 + 2*x**2 + 30*x + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -714*o**2 + 42. Let b(w) = -108*w**2 - 18*w + 29. Let q(f) = 320*f**2 + 51*f - 83. Let y(m) = 17*b(m) + 6*q(m). Determine -5*a(i) - 42*y(i).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7729456*s**6 + 5*s**2 - 145261*s wrt s.\nAnswer: 927534720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + 2*m)*(-17 - 7 - 27).\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*h + 4000 = 11242 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b. Let w be (b + (-2)\/4)\/((-1)\/6). Solve -w*a + 6 = r - 4*a, -3*r + 3 = 2*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.92 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184655525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 7. Let j(n) = -t*n - 3*n + 1 + 3*n. Calculate j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/10)*l)\/l*l*l**(-1))**(4\/5) assuming l is positive.\nAnswer: l**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-14)\/14*(-2)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u - 3*s = -5, 0 = s - 3. Suppose -6*b + 5*z = -u*b + 547, z = b + 269. Round b to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29221307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*-3*(-8)\/(-72). Suppose -5*y - f + 0*f + 448 = c, -10 = 5*f. What is the smallest common multiple of 90 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by ((-9)\/(-6))\/(18\/276).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from uuuduudu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1.2, 0.4, -0.77 in ascending order.\nAnswer: -1.2, -0.77, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1512*u + 203. Let q be r(-1). What is the highest common divisor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22300 - 22292.9996. Let w = 7 - 0. Let b = f - w. What is b rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 665036*k - 665029*k - 3.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2856*x**2 + 91*x - 2603. Let u(z) = 952*z**2 + 28*z - 867. Let s(d) = -4*p(d) + 13*u(d). Differentiate s(m) wrt m.\nAnswer: 1904*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63861758 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -h, -21 = -3*h - 5*r + 8. Suppose -62 = -h*y - 4*f, -3*f + 6 = 18. Let j = -15 + y. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -6) + (-7 - (-21 + 4)) + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27035994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*k**6 + 8*k**5 + 42*k**3 - 12*k**2 - 2651 wrt k?\nAnswer: -1200*k**3 + 480*k**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2272 - 2274. Put 1, h, 13, 5 in descending order.\nAnswer: 13, 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t + 55. Let j(k) = 55200*k - 4 - 55198*k + 4. What is j(x(v))?\nAnswer: -12*v + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 463 - 457. Let v(n) = 2*n + 13. Calculate v(a).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 less than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 15) to base 6\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*l + 4628 + 2*l**2 - 4629 - l**2 - 2*l**2 + l**2 + 0*l**2 + (l - 2*l + 0*l)*(2*l - 4*l + l) + 0*l**2 - l**2 + 3*l**2.\nAnswer: 3*l**2 + 85*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 25*i + 11. What is h(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1032*r - 1035*r - 5*p + 10231, 0 = 4*p - 8. Round r to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-5)\/25)\/((-13)\/65)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-91 - 9)\/(-10) - 8. Solve -o*l + 15 - 11 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*a - 1 = -0, -4*w + 3*a = -1. Let h(b) = 395*b - 1. Is h(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14458b - 4?\nAnswer: -144592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 137*x - 220*x.\nAnswer: -85*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:57 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -4, 332, 12, 5.\nAnswer: -16, -4, 1, 5, 12, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 2\/11, -11, 0.08, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7094, -11972, -16852, -21734, -26618, -31504, -36392?\nAnswer: -41282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or 43.66?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4900 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21191 - 2399*a - 21191 to the form p*a + q and give p.\nAnswer: -2399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 3094*c - 808*c - 797*c - 690*c - 799*c - 6*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(1\/5)\/g)*g\/(g\/g**(-3)))**(4\/13)*(g\/(g\/(g\/((g\/(g*g**(-1)))\/g)*g*g))*g)**32*(g\/(g**(-2\/3)\/g))**(-21\/4) assuming g is positive.\nAnswer: g**(7366\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -934230 divided by -186846\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*d + 154, 4*h + 0*h - d - 589 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-1 - sqrt(5)) + sqrt(5) + -1 + 3)**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62824 is divided by 20939.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bddb when four letters picked without replacement from {d: 2, b: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 735*r**3 - 2*r**2*v**3 + r**2*v + 24*r**2 - 12*r*v**3 + 8895*v**3 wrt r.\nAnswer: 4410*r - 4*v**3 + 2*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6746662*n - 67263467 wrt n?\nAnswer: -6746662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5694283 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204793 by 1.\nAnswer: 204793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 3*d - 4. Let g(p) = -p + 1. Determine 6*g(w) + r(w).\nAnswer: 3*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*j - 5*a - 45, -3*j = a - 39. Solve -13*r = -8*r - 3*k - j, 0 = 5*k + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(45)*-2)**2*6.\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 2. Let i be b(-8). What is the lowest common multiple of (0 + i)*3\/6 and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:21 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102221200110 (base 3) in base 7?\nAnswer: 1666551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*z + 581 + 1569. Let v = 163 + -65. What is the remainder when v is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5048c (base 14) in base 2?\nAnswer: -101111000111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -153*i + 856 = 51*i - 4244 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 25*l - 31. Let z be q(-26). What is the second biggest value in z, -3, 2\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -0.5 (c) 16 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1573904 and 3488.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58)\/(-3)*24\/(-16). Let o = 34 + b. Suppose -3*a = -3*l - 75, o*l + 12 = -2*a + 27. Calculate the least common multiple of 34 and a.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 900556146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-2 - 3 - 4)*(-k**3 - k**3 + 0*k**3).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -53*p**3 - 5*p**2 - 19*p. Let g(v) = 6*v**2 - 18*v**3 + v - 5*v**2 + 19*v**3. Let o(u) = -4*g(u) - j(u). Find the third derivative of o(r) wrt r.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*8\/(-16)*3*(-24)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1736 + 3043. List the prime factors of y.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6))\/((-1)\/(-21)). Let t = 3 + m. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*-1*(sqrt(98) + (sqrt(98) - (1 + sqrt(98))) - sqrt(98)))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 + 929. Let n = s + -12. What is the remainder when 2\/(-7) + n\/21 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*z + 2, r + 2 = 5*z - 11. Suppose -h = -1, 5*g + 4*h - 7*h = r. Suppose -3*n - n = -c - 87, 0 = -g*n - 4*c + 66. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 374*t + 73. Let u(z) = 501*z + 97. Calculate 9*r(l) - 7*u(l).\nAnswer: -141*l - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Suppose 0 = -2*h - z*h - 105. Let w be h\/(-28) + 22\/(-8). Is -2\/3 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15*-46)\/((-35)\/(-38) + -1). Suppose 4*d - 27*d + h = 0. Calculate the highest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(20\/(-3)))\/((-24)\/120).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 7 - 11. Suppose -u*c - 10 = -11*c. Which is bigger: c or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 717*t - 29314. What is o(-39)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 6. Let y be m(2). Let p be y\/(-12)*-4 + (-8999994)\/9. Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 20. Let f be a(-7). List the prime factors of f*(1 - (33 + 3)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155091?\nAnswer: 3, 17, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -25, 19751 = 5*q - h + 6606. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1678274 + 1678274 + 452*h to the form o*h + c and give o.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23856?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + f = 36, -18 = 5*t - 2*t + 5*f. Let q be 1*(-22 - t) - -11. Factor 2\/5*g**4 - 24\/5*g**2 + 16\/5*g**3 + 0 - 2\/5*g**5 + q*g.\nAnswer: -2*g**2*(g - 2)**2*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368218733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 62\/11*k**2 - 192\/11*k + 40\/11*k**3 - 216\/11 + 2\/11*k**4 = 0.\nAnswer: -18, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.01 + -60.01. Put z, -0.4, -2\/9, 4 in decreasing order.\nAnswer: 4, -2\/9, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + -12) - (1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(0 + sqrt(171))*-5)**2.\nAnswer: 615600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6272\/125 or -1564?\nAnswer: -1564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j. Let g(z) be the first derivative of z**2\/2 + 7. What is i(g(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4301 = 22*x. List the prime factors of x.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**2*z**2 + 5*u**2*z + 30*u**2 + 270*z**2 wrt u?\nAnswer: -2*u*z**2 + 10*u*z + 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 30*j. Let s(d) = -66*d**2. What is y(s(q))?\nAnswer: -1980*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Let p be 1 - 1*(a + 1). Is 1\/10 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - u - 4*g = 6068, -2*g - 1512 = -2*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - 26\/(-7). Let y be 6\/(-5)*(-20)\/6. Let l = -146 + 169. Solve -y*c - 2*r = -4, -j*c - 7 + l = -r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*d + 928385 + 686215 = -43*d. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1568 and 75\/268.\nAnswer: 105056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10541, -10525, -10499, -10463, -10417, -10361, -10295?\nAnswer: -10219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -18. Solve -q + 5*q + 8 = -z, -z = -i*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 165281247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 761963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-9) - (-2)\/(-6). Let i = 10 - g. Calculate the highest common divisor of 88 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13 + 50*z**2 - z - 29*z**2 - 22*z**2 + z**3. Let q = 2 - -4. Is l(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 19 = 2*a - g, 19 = -3*a + g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0*l**7 - 2*l**2 + 1\/6*l**4 + 3\/4*l**5 + 5 + 0*l + 0*l**3 + 0*l**6 + 59\/84*l**8. What is the third derivative of r(q) wrt q?\nAnswer: 14160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*h + 295*h = 125*h + 9960 - 280 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 357.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -441*d**2 + 107*d**2 + 97*d**2 + d + 57*d**2 - 10 + 96*d**2 to c*d + f*d**2 + o and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6*y + 3. Put -5, 4, y in descending order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutl when four letters picked without replacement from {u: 4, l: 5, t: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/10 + h**4\/3 - 4*h**3\/3 - 23*h**2\/2 - 2*h. Let t(g) be the first derivative of q(g). Suppose t(a) = 0. What is a?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 120. Suppose -28*g = -27*g - i. Suppose f + g*l = 5*f - 38, -3*f - l = -26. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111110010 (base 2) to base 13\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from vvsxvvvvxvvxsvxxxxs?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 32*d - 198. Give q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(14\/12 + 2\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6091*p**2 + 7204*p wrt p.\nAnswer: 12182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d, 28*d - 14590 = -3*q + 24*d. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (477\/(-1590))\/(36\/(-15) - -2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 + 8 = 5*u, 10 = 2*u + 4*c. Suppose -2*i - 25 = -u*q, -q - 8 = 3*i + 2. Solve -q*p - 6 = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/224 and 113\/43078.\nAnswer: 689248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8589*24.\nAnswer: -20.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 - z. Let v be q(1). Suppose 5*y - 4*d + 11 = -v*d, 4*d - 13 = 3*y. Let f = 8 - y. Solve 5*l - f = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.34614498 to three dps.\nAnswer: 96.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*c**6 - 11*c**2 - 21*c**6 - 19*c**6 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**4\/12 + 2*n**3\/3 - n**2 + n - 12. Give j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.9, 0.5, 0.2 in descending order.\nAnswer: 0.5, 0.2, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 42*i - 340. Sort i, 4, -1, -2.\nAnswer: -2, -1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-417)\/(-1807))\/((-36)\/(-120))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -14*j**3\/3 - 3166*j**2 - 13546*j\/3 - 1354 = 0.\nAnswer: -677, -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -1, -5, -27, -0.4, -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 17\/(-2))*15*(-120)\/(-2450).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**8\/112 - j**7\/70 + j**6\/20 + j**5\/10 - j**4\/8 - j**3\/2 + 21*j**2. Factor n(z).\nAnswer: -3*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -134, 0.5, 5, 1\/3 in increasing order.\nAnswer: -134, 1\/3, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233020032 + -11?\nAnswer: 233020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 18. Let x = -38 - -42. Suppose -5*g + 27 = 3*p, -x*g + 0*g - w*p = -32. Solve l = -g*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 214 - 103. What is the remainder when c is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/42 - l**6\/8 - 8*l**2. Suppose j(b) = 0. What is b?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 942 = -8*n. Let p = 536 - n. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 - 7)) + -6 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 567920 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -345, -1222, -2929, -5742?\n\"Answer: -46*b**3 - b**2 + 2*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Let j be -1*(0 - -2) - -2. Solve -2*t = -3*z - j*z + 12, 20 = p*z - 4*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1862754 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-119)\/126 - 259\/3330?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 2*r**4 - 4*r + (-1 - 3 + 2)*(-3*r**4 - r**4 + 8*r**4) + (2*r - 3 + 3)*(-2*r**3 + r**3 + 4*r**3).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22389.\nAnswer: 3, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1111960269 rounded to five decimal places?\nAnswer: 0.1112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -37. Let w = b + -44.16. What is w rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b + 2*s - 32034 = 0, 6414 = -b + 4*s. Is b\/10*(12 + -17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 10*r - 7. Let l be s(-9). Suppose -l*h + 122 = 2*i, -14 - 6 = -4*h. Let k be (-27)\/36 - (-74)\/i. Sort 0.4, -4, k.\nAnswer: -4, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b*b*b*b**(-3)\/b)\/b)\/b)\/b)**(8\/7)\/(b\/(b**(-1\/4)\/b))**(4\/17))**(1\/3) assuming b is positive.\nAnswer: b**(-157\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01472 - -0.48528. Is 373 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 181910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1223532422 - 5?\nAnswer: -1223532430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311889511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*o - 6522 + 366 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 413*i**2 + 20*i - 1 - 2 - 202*i**2 - 210*i**2. What is the remainder when s(6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 1. What is v(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 1:07 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -31\/2, -0.1?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.234996 minus -142?\nAnswer: 141.765004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20179\/7 or -2?\nAnswer: -20179\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-30))\/(-13*((-22)\/(-4) - 5)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 5 + 5 + (2*g + 0*g - g)*(1 - 3 - 12)*(0 + 4 + 2) as h + v*g and give v.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -134679 and -44.\nAnswer: 5925876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 147\/(-35) + (-2)\/(-10). Is 4 a factor of -4 + (r - -6) + 68 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 592, 1276, 2234, 3466, 4972?\nAnswer: 6752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 477*d**3*x**3 + d**2*x + 54*d**2 + 3*x**3 wrt d.\nAnswer: 2862*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = -5. Let b(f) = 2*f + 2. What is the least common multiple of w and b(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3 + 6*n**2 - 6 - 4*n**2 + 8*n**4 to q*n**2 + x*n**4 + g*n**3 + t*n + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggbggbbgggggb.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f\/(f\/f**(-9)*f)*f)\/f)*f*f)\/(f*f**(1\/2)))**(-43) assuming f is positive.\nAnswer: f**(-903\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*k - 24*k + 8. What is the tens digit of (-580)\/(-8)*k\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44049660 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -424. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13690804 rounded to 4 dps?\nAnswer: -0.1369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5 + 31*t**4 - 135*t**3 + 173*t**2 - 70*t = 0. Calculate t.\nAnswer: -35, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:35 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010001101000111000 (base 2) to base 6.\nAnswer: -30223212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8. Suppose 2*d = -l - 4. Let h = 6 + d. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1011232001?\nAnswer: 1011232002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 - 1\/4*m**4 - 11\/4*m**3 - 4*m - 9*m**2.\nAnswer: -(m - 1)*(m + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22, 2, 1\/6, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5870 + 15853. What are the prime factors of z?\nAnswer: 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16))**(-1\/39) assuming l is positive.\nAnswer: l**(16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 211 + 561*v + 1548*v.\nAnswer: 2109*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -236 + 231. What is the smallest common multiple of 7 and (-4)\/(3*1\/(15\/d))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/26)\/((-16)\/104).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21b288 (base 12) to base 4\nAnswer: -2003103020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 minus 0.7?\nAnswer: -494.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cahcatrut. What is prob of sequence cahr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:20 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-4 - (-6 + 7) - -14).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(448\/273) - (-2)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-1)\/(4\/4). Let u = v - 10. Suppose 2*g + u*g - 12 = 0. Solve 0 = -4*h + 8*h + q - 6, h - g*q = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2 + 37*i**2 - i**3 + 58*i - 57*i - 38*i**2. What is m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038196 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (-5 - -1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/40 - f**4\/12 + 5*f**3\/2 - f. Let q(b) be the second derivative of j(b). Let s be (-2 + -7)*2\/6. Give q(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/((n\/n**5)\/n*n))\/n*n))\/n)**(-18\/11)\/(n\/(n*n**(-9)*n)*(n**(-7\/5)*n)\/n) assuming n is positive.\nAnswer: n**(87\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2508 and 1980465?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55769886 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4453492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36991 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 10:25 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 21*h + 21 = 0. Suppose h*i = 26 - 292. Let p = 36 + i. Which is the smallest value? (a) p (b) -4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 36. Calculate x(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3171 - 1217?\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 38*r. Let v(w) be the first derivative of -w**2\/2 + 12. Calculate v(x(c)).\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -7*l**4\/4 - 786*l**3 - 176927*l**2\/4 + 76983*l\/2 = 0.\nAnswer: -383, -67, 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i + 4. Let s be p(4). Let y be 3\/(-4*(-3)\/96). What is the highest common factor of y and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/3 + 259*n - 2. Let v(b) = -2*b**2 + 8*b. Determine v(z(t)).\nAnswer: -32*t**4 + 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8111688 and 2?\nAnswer: 8111688","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/47, -231, 0.4?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 3, -4 in ascending order.\nAnswer: -40, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2137*t - 4275*t - t**2 + 2138*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/7 - 3625*m\/7 + 154912 = 0.\nAnswer: 329, 3296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 16 in ascending order.\nAnswer: -5, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 20*j - 15*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)*g*g*g**2)\/(g**(-2\/3))**(-1\/5) assuming g is positive.\nAnswer: g**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 + (0\/4 - 1) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74322497 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**9\/84 + d**5\/6 + 5*d**2. What is the third derivative of i(c) wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 14. Let x be 311\/(-22) - (-693)\/5082. What is i(x)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6 = -2*o, 3*q + 3 = -0*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28134121 rounded to 3 decimal places?\nAnswer: 0.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -366?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*(21\/(-105))\/((-8)\/(-16)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - -109. What is the greatest common divisor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244724635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 - -0.09. Which is bigger: j or -0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2139 in -3, 0.5, 5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 95*j - 2. What are the prime factors of g(3)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -46, -113, -208?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 6*l + 86. Suppose -51*c + 61*c = -80. Let a be w(c). Let o(g) = -g**2 + 7*g - 4. Calculate o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -1. Suppose 8 = 2*v + m*v. Suppose -22 = -2*u + u + 4*s, v*u + s - 17 = 0. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*(7 - 1). Let s(t) = -3*t**3 - 3*t**2 - 2*t + 1. What is the tens digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 32. Calculate i(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -12. Suppose 0 = -t*k + 3*k + 39. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*i = -302*i - 132*i - 5610 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:16 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78 or -103?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-4235)\/(-165) - 4\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y**5 - 384*y**4 - 1620*y**3 - 2406*y**2 - 1383*y - 234 = 0. What is y?\nAnswer: -13, -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 13 (b) -0.4 (c) -0.2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 162 in -1\/9, 6, -15, -1\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*i = -24*d + 25*d - 100*i - 4, 18 = 2*d + 4*i for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5152 = -2*l, -12*l - 3*o = -17*l + 12958. Is l <= 2589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlql when four letters picked without replacement from qllqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -7 - -10) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 8:41 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26006, 20680, 11804, -622, -16598, -36124, -59200?\nAnswer: -85826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22527359 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-110) + (9 - 738\/90).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280.6 + 179. Let s = v - -81. Let z = 21 + s. What is the smallest value in z, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 - 3*m**3 - 11*m**2\/2 - 7*m + 3. Let f be w(-7). Is (-50)\/(-8) - 21\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 10*r + 9 = 0. Calculate the highest common factor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66434.72 milligrams in tonnes?\nAnswer: 0.00006643472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.17 times 4?\nAnswer: 188.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -190 and -191 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/812 and 49\/203668.\nAnswer: 41344604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -109.3\nAnswer: 765.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 2996\/224) + (5 - (-6902)\/(-112))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 82, -946, 3, 2, 7\/2, -2\/3, 2\/7?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 13203 = 12753 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 + (-4)\/(3 - -1). Let m be (18\/(-2))\/(b\/22). List the prime factors of 35\/3 + 6\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -12236\nAnswer: 4\/3059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 11*f + 1. Let o be z(11). Let c = 3955 + -3950. Put 4, o, -4, c in ascending order.\nAnswer: -4, o, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -279? (a) -0.5 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42382 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 196 = 127*j - 123*j, 2*y = -3*j - 14 - 140 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000459415 to 6 dps.\nAnswer: -0.000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -20552\/44265 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*y**2 + 5082*y**2 - 2532*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 3 (b) -0.093026 (c) -0.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18619 + 18729. Calculate the greatest common divisor of 3410 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -41. What is the first derivative of 22 - 16*f**o - 9 - 8 + 4*f**4 wrt f?\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 3) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*a - 2 - 13 = 0, 0 = -5*i - 5*a - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185 + 187. Let a(r) be the second derivative of 4*r + 4\/3*r**3 - 1\/15*r**6 + 0 + 1\/2*r**4 - 1\/5*r**5 - 4*r**o. Factor a(f).\nAnswer: -2*(f - 1)**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11130958 and 3208?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1774889962.9999166 - 1774890559. Let c = b - -596. What is c rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1260, 1272, 1288, 1308, 1332, 1360?\n\"Answer: 2*x**2 + 6*x + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 9) + -7 + 14 + -7 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 190*n**2 + 6*n**3 + 190*n**2 - 5*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1498, -4, 4, 1, -2\/7?\nAnswer: -1498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5758384731.\nAnswer: 3, 11, 174496507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 12d6338?\nAnswer: 12d6334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.4 - -36.4. Let a = 19 - 7. Put d, 0, 0.5, a in ascending order.\nAnswer: 0, 0.5, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 272 = 5*c, -4*l + 4*c + 0*c = 352. Let i = -36 - 22. Let x = i - l. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*j - 24 = -2, 4*j = -3*b + 18. Let i = 0.07 - 3.07. Let d = 1.071 - 1.571. What is the closest to b in 0.3, d, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 30*f + 150 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1211110 (base 3) to base 7\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 45 = -5*m - 100, 4*m + 54 = 5*g. Calculate the least common multiple of 224 and g.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-47 + 48)*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/30)\/(35\/63)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5833626)\/(-8)*(-8)\/(-480). Let s = -12154 + j. Find the common denominator of 31\/6 and s.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -105*g**4\/2 + 5*g**3 - 3*g - 234. Find the third derivative of z(i) wrt i.\nAnswer: -1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104114 (base 8) in base 13?\nAnswer: -12b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 42 = -3*g, 464*g - 460*g - 8*l = -24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-3))\/((-1)\/(-3)). Suppose -9*q + 403 = 4*q. Let x = w + q. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) -0.5 (b) 1\/3 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**3 + 99*j**2 + 26*j - 26. Let x be k(25). Which is greater: 7\/19 or x?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.026 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 16 = 6. Suppose c + y*c = -69. Let g = -14 - c. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*i**2 - 3*i**2 + i**2)*(-5 + 2 + 1) - 36 + 132*i**2 + 85 - 48)*(-i + 2*i + 0*i)*(-6 + 1 + 3) to the form f*i + c*i**3 + g + q*i**2 and give c.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 27925276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1097*g**3 + 7*g - 15?\nAnswer: -6582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*n + 9, 2*o + n + n - 4 = 0. Let a(k) = -5*k**2 - 5*k - 3. Let i(c) = -2*c - c + 7*c + 5*c**2 + 2. Let r(m) = -3*a(m) - 4*i(m). Give r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5383 + 5418. Solve 2*u - 4*d = 10, -7 = -3*u - g*d + 33*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992289 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1818.812ml?\nAnswer: 1.818812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - k = -16, 31200 - 30031 = -69*r + 4*k for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let x = -82 + 89. Suppose y - x*r + 5*r - 66 = 0, 0 = 4*y + 3*r - 231. Let s(j) = -21*j + y*j - 122*j. Calculate s(p(m)).\nAnswer: 166*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1738222us to seconds.\nAnswer: 0.0000001738222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 10*f - 9. Let l be k(-4). Let y(w) = -3960*w**3 - 4*w**2 - 3*w + 1. Let p be y(l). Suppose p = 12*o + 3*o. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvzvizzqqvnvvqizvvq. What is prob of picking 1 i and 3 z?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 445 + 17 = 3*h, 4*b = 3*h - 820. Is 0*(-5)\/15 - b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -195*j - 2727. Let y be v(-14). Solve 5*t = 4*d - 11, -y*d - 2*d + 22 = 2*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*j = 2580, 5*s + 3*j = -j + 6455. Suppose -5*u - s = 1965. List the prime factors of u\/(-28) + (-4)\/14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-4)\/(1728\/6993).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3028498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10)\/(y*y**10*y)*(y\/(y**(3\/2)*y))**(-21\/2) assuming y is positive.\nAnswer: y**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32407633.\nAnswer: 32407633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 122621, 122655, 122711, 122789, 122889, 123011, 123155?\n\"Answer: 11*c**2 + c + 122609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*p = p + 17, -3*s + 3*p + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10777*z**2 - 140*z + 615. Let d be l(5). Round d to the nearest one thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0 + 2*f**2 + 3 - 4 + 8*f**3. Determine d(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*i - 58*i + 26*i + 7)*(-3*i - 108 + 108).\nAnswer: 12*i**2 - 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117968670*s**4 - 120350253*s**3 - 2395911*s**2 - 14355*s - 27 = 0. Calculate s.\nAnswer: -1, -1\/90, -3\/661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983213569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1763 - -1766. Put y, 9, 10, -5, 7 in descending order.\nAnswer: 10, 9, 7, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/2 - 5 - 0. Which is the nearest to 0.1? (a) 0.5 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72020*a**3*w - 4*a**3 + 2*a**2 - 21*a + 144 wrt w.\nAnswer: -72020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2*c**3\/9 - 47*c**2\/3 + 88*c - 559. Factor n(g).\nAnswer: 2*(g - 44)*(g - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 23. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:07 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (0 - (15 + -3)). Suppose n*f = 7*f. Round f to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120565196.9 rounded to the nearest 100000?\nAnswer: 120600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*u**2 - 24*u**3 - 4*u**2 + 27*u**2 wrt u?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 131, 111, 73, 11, -81?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 138*o**2 - 603*o - 43140. What is n(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5 - 12*l**4 - 982*l**3 + 15312*l**2 - 62920*l = 0.\nAnswer: -26, 0, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 12. Calculate the common denominator of (-28)\/32*(-5)\/(-2) and (151\/h)\/(24\/18).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(127\/(-3) + 0). Suppose 2*h - 3*t = -3*h - 119, 5*h + t + g = 0. Does 9 divide ((-16)\/5)\/(5\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.3 (c) 0.3 (d) -285190 (e) -1\/2 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 703, -4, 748, 3 in decreasing order.\nAnswer: 748, 703, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48588, 48548, 48480, 48384, 48260, 48108?\n\"Answer: -14*z**2 + 2*z + 48600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -91, 5 in ascending order.\nAnswer: -91, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/96477 and -2\/53.\nAnswer: 5113281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 53.18?\nAnswer: 265.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*v + 15, -4*w - 4*v - 22 = v. Let j be (-3 - -7)*(-2)\/(-6). Let f = 0.06 - 1.06. What is the third biggest value in w, f, j, 0.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99808.2 to the nearest 100.\nAnswer: -99800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60690504 divided by 14.\nAnswer: -4335036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4)*2)\/(4876\/297436).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-432)\/(-540))\/(76\/(-1805)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/12 - a**3\/3 - a. Let l be x(-2). What is the closest to -2\/3 in -0.5, l, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -26073.\nAnswer: 2\/26073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 + 0.4066874911?\nAnswer: 0.6366874911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p\/(p\/(p**7\/p)))\/p)\/p)\/p**(1\/4))\/(p**(-3)*p**(-2)))**(-1\/5) assuming p is positive.\nAnswer: p**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -405\/11? (a) 25 (b) 1 (c) -6 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b - 17. Let q = -9 - b. Solve -3*k + q*k = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6081916891?\nAnswer: 19, 811, 394699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6*f - 3 + 3)*((-1 + 2 + 1)*(-4 + 3 + 0) - 3 - 2 + 4) in the form t*f + q and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 12, j: 3}. What is prob of sequence jixj?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415 and 5007473?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47118 - 38476. Calculate the remainder when c is divided by 247.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - 63*l**2 - 63*l. Let s(t) = -13*t**2 + 9*t. Let q(y) = -7*y**2 + 5*y. Let f(g) = 11*q(g) - 6*s(g). Determine -126*f(n) - 2*m(n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*v + 17 = 0, 3*u - 6*u + 3*v = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h. Let z(t) = t. Let y(d) = -d**2 - 6*d. Let v(j) = -y(j) - 6*z(j). Determine v(x(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 1619, 2421, 3221?\nAnswer: 4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3366*j = 614*j + 1028*j + 132467 + 213085 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 31, 33?\n\"Answer: 2*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1827 + -1227. Does 75 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + -10 + 3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 16 + 11. Suppose -g*b - 17 = -4*j - 8*b, -4*j - 5*b = -23. Solve j*m + 4 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 2 - (-1 - 1). Let y be 418\/6 - v\/(-12). Calculate the greatest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2696*u + 154980 = 2469*u + 1996*u + 3397*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75915, 151896, 227849, 303768, 379647, 455480?\n\"Answer: -f**3 - 8*f**2 + 76012*f - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 2*g + 5. Let m be y(4). Suppose 4 = -2*k + 46. Let w = k + -18. Sort w, m, 2 in ascending order.\nAnswer: m, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840 a factor of 470663141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 44 = -2 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 3*q)*(-170 - 103 + 77).\nAnswer: -196*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c**2 - 16*c**2 + 2*c.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than 0.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -134615 and 1.2631.\nAnswer: -134613.7369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*z + 4097, 3*a = -2*z - 2021 - 2106. Let y = z + 3856. What is y rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -171, -389, -743, -1227, -1835, -2561, -3399, -4343?\n\"Answer: o**3 - 74*o**2 - 3*o - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2902.43 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*y + 24 + 56, 60 = -3*y - 5*r. Let t be (-364)\/(-10) - (-6)\/(-15). Let x = y + t. Solve 5*k - x = -f, -2*f + 16 = 2*f + 4*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -23. Suppose -67 = t*k + 2*p - 7*p, 0 = -3*p + 15. Let w be (-15 - k)\/(1\/(2 - 0)). Sort -9, -4, w.\nAnswer: -9, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 612, 2203, 5326, 10491, 18208?\n\"Answer: 85*j**3 + j**2 - 29*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (4 - 2) - (-1047 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 4*b - 3*b + (-3371 - 59*b + 3371)*(1 - 3 + 4) + (0 - 3 + 4)*(2*b - 3*b + 0*b) + 2*b - 3*b + 0*b in the form t + v*b and give v.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/2109 + -23903\/2109. What is the common denominator of m and -4\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/261 (b) -2 (c) 0.9 (d) -2\/11 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269432*z**5 + 517*z - 396.\nAnswer: 5388640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -1568369450.\nAnswer: -1568369462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*7360\/192*3*1\/15?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w**(1\/4))\/((w*w**(-1))\/w*w*w)**(-1\/29))\/(w**6*w**(-2)*(w\/w**0)**7) assuming w is positive.\nAnswer: w**(-1359\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 63*j**2 - 2*j + 6. List the prime factors of c(2).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 2*h**2 + 17*h - 3. Let n(i) = -i**3 - 3*i**2 + 16*i - 2. Let c(d) = -5*m(d) + 6*n(d). Give c(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/5 + -1)\/(121\/(-605))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9188?\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 7719 - 3968 = 3919 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 24 = 4*c - 8, -4*c = -h - 8. Let y be (-28)\/(-6) - 2\/c. Suppose 0 = -2*w - l + 5 + 8, 4*w - 5*l = 47. Solve -w = 4*i + y*m, 0 = -3*m + 2*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1469, 1469, 1473, 1481?\n\"Answer: 2*l**2 - 6*l + 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27573 + -27567. Calculate the greatest common factor of 237 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 10. Let c be (20\/3)\/(2\/z). What is the highest common factor of 75 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 655, 1498, 2689, 4234, 6139, 8410, 11053?\nAnswer: 14074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (15\/18)\/(3015\/(-134))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/1625 - -1363\/212875. Suppose 0 = -13*r - 9*r + 22. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 10:27 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/4 + 44\/814 + 1107\/(-1998)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y + 12*y - 39*y + 16*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**(4\/13))**5 assuming u is positive.\nAnswer: u**(40\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*u - 89*u - 67 - 383. Let h(i) = -5*i + 4. Let w(g) = -2*g - 5*g + 3*g + 5. Calculate u*h(y) - 4*w(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 59182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 6*s - 54)*(0*s + 0*s - 2*s) - 3*s**2 - s**2 + 2*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 2 = 6*o. Let i(l) = l**2 - l - 1. Calculate i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 16 = 5*t. Let l(a) = -a**2 - 4*a + 3. Let u be l(t). Factor 3 - 4*v**2 + 5*v**2 + 9*v - 9*v**4 + 5*v**2 - 3*v**5 - 6*v**u.\nAnswer: -3*(v - 1)*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -19*l + 5. Let p(x) be the first derivative of -29*x**2\/2 + 8*x - 131. Give 5*p(v) - 8*q(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84405 + -34774895\/412. What is the common denominator of 41\/8 and x?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 11 - 1 = 0. Find the second derivative of -13*w**2 + 6*w**h + 17*w + 6*w**2 wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14010864 rounded to 3 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -3*x + 3*y, -2*x + y + 0*y = -235. Let m = x - 104. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 3*q + 16. Let h(n) = -2*n**2 - 2*n - 112. Let a(w) = 4*w**2 + 4*w + 288. Let c(u) = -2*a(u) - 5*h(u). Determine 3*c(d) + 2*i(d).\nAnswer: 2*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 + -149. What is the least common multiple of a and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*q**3 + 18*q**2 - 62*q - 156149.\nAnswer: -57*q**2 + 36*q - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10206 - -42?\nAnswer: -10164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.4, -4, 0.2, -47\/2 in decreasing order.\nAnswer: 0.2, -0.4, -3\/4, -4, -47\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -66, 16, 1\/131?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2811 + -2812. Which is the nearest to w? (a) -0.3 (b) -1\/3 (c) -3\/316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*m = -8. Let a = m - 18\/5. Determine s so that 2\/5*s**3 - 6\/5*s**2 + 6\/5*s - a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*0\/2. Let h = -313 - -315. Calculate the remainder when 29 is divided by 10 + -2 + y + h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18109 + -108541\/6. What is the common denominator of 2\/(-6)*(-9)\/(-39) and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(1100) - 4*(sqrt(1100) + 2*sqrt(1100)))).\nAnswer: 9 + 330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 48 = -33. Let w = -93340 + 93354. Calculate the remainder when c is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3*s**2 - 2*s**2 + 2*s**2 to m + c*s + t*s**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/(2\/(-8)*3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*t + 10280 = -4700, -4990 = -w - 3*t. What are the prime factors of w?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35716838?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**2 + 3*z - 3. Let f(h) = -13*h**2 - 2*h + 2. Determine -3*f(p) - 2*x(p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16848 = -106*p + 132*p. What is the highest common divisor of p and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2985 and 11.\nAnswer: 32835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1161369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12313468.9873 - -13137001.984. Let g = -823468 + a. Let i = g - 65. What is i rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 - 1072*x - 17571. Give t(-87).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*((-5)\/6)\/((-16)\/(-24)). Suppose -2*p = -2*k + 38, -4*k = x*p - 0*p - 58. Calculate the remainder when 33 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a)\/a*a\/(a*a**(-4))*a**(-3\/7)\/a*a**(3\/11) assuming a is positive.\nAnswer: a**(503\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22182.75702 rounded to the nearest ten?\nAnswer: -22180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 494 and 118142.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -239\/6. Suppose -4*r + 0*r + 2*h = -136, -5*r - 3*h + 159 = 0. Find the common denominator of k and (0 + 72\/r)*-1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)\/r)\/(r**4\/r)*r**(-4)*r*r*r**(4\/5)*r assuming r is positive.\nAnswer: r**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + sqrt(700) - -1*sqrt(700))**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + i)*(-1 - 1 + 1) - i + 2 - 2 + 10*i + 23 - 23 + 2*i + 1 - 1 - 2*i + 2*i - 2*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222211012 + 11?\nAnswer: -2222211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32791752 by -1366323.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33756261 is divided by 1054883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32706 (base 14) in base 15?\nAnswer: -262ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*q - 145 - 279 = 0. Solve -266 = q*g - 234 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**3 - 10*l**3 + 1 - 1 - 1 + l**2. Let g be j(-1). Let q(n) = -6*n - n + g*n. Let p(m) = 4*m**2. What is q(p(w))?\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4025.7671 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 2, c: 1, d: 6, f: 1}. What is prob of sequence dfcd?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3 - 48 = 19 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -736*h + 23666. Determine o(32).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i*s**3 + 404*i*s**2 + 23*s**3 wrt s.\nAnswer: -30*i + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/4 + 16*b**3\/3 + 15*b**2\/2 + b + 16. What is r(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040 divided by -5\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11.58352 micrometers?\nAnswer: 0.01158352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + (-9 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4129 + 4123 = 4*n, 2*g + 0*n = -3*n - 32 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(77)\/sqrt(7)) - sqrt(22))\/(1*sqrt(242)) - (sqrt(297)\/sqrt(3) + (sqrt(99)*-4)**2)*3.\nAnswer: -4752 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 2446*h + 24593. What is q(10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1322378\nAnswer: 1\/1322378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by 577?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*o + 33*o + 36. Let l(v) = -2*v**2 - v - 4. Let p(k) = 3*k**2 + k + 7. Let b(t) = 5*l(t) + 3*p(t). Calculate b(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -923 + 75 = -k. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**3 + 4 + 0*i**5 + 2\/5*i**6 - 5\/12*i**4 + i - 9\/2*i**2. Find the third derivative of p(q) wrt q.\nAnswer: 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p - 49. Let u be i(21). Suppose -u = -5*g + 60. Let f = -36 + g. Solve 0*z - f = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 62 (c) 4\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -567*t**3 + 5*t**2 + 17892*t?\nAnswer: -3402*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -2\/47, -2\/7, 590?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -9*n**5\/10 - 47*n**4\/10 + 184*n**3\/5 - 60*n**2 + 104*n\/5 + 8 = 0.\nAnswer: -10, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62 + (-2 - -1) + (-1 - 0). Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 853 - 853.00076. Round g to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**2. Let l(g) be the third derivative of -1\/8*g**4 + 0*g - 3*g**2 + 0*g**3 + 0. Determine l(m(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p - 3*p**3 - 6*p)*(4*p + 10*p - 2*p) to the form u + j*p**2 + n*p + m*p**4 + b*p**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 9. Let o(a) = 6*a. Let j(y) = -24*y. Let z(x) = h*o(x) + 2*j(x). Let v(t) = 2*t - t + 150 - 150. Calculate z(v(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248016 is divided by 5905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 289 divided by 1\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 2. Let j be m(2). Let d be (-48)\/20*20\/6. Let v = -7 - d. Calculate the greatest common divisor of v and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*t = -t - 80, 3*t = -2*m + 75. Suppose 3*l = 2*l - 19. Let u = l + m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q - 15. Let r be v(-6). Suppose 0 = -r*g + 23*g - 36. What is the third derivative of -559*h**4 + 28*h**2 + 559*h**4 + g*h**5 wrt h?\nAnswer: 1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13080 divided by 109?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 15 = -5*s, 2*s = -3*w + 14 - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i - a, -3 = 5*i + 2*a - 17. Suppose -i*p - 75 = -p. Let y = p - -35. What is the remainder when 19 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 33, -5, 3, -4, 92 in descending order.\nAnswer: 92, 33, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 521287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -70.2. Which is the fourth biggest value? (a) -2 (b) q (c) -1\/2 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1151*k - 9 + 3*k**2 - 4 + 12 to l*k + y*k**2 + d and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {p: 3, x: 3, i: 4, s: 2, r: 2, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**3 - 2*o**3 - 5*o**3 + (2 - 4 + 1)*(o**2 - o**2 + o**3) - 5*o**3 + 0*o**3 + 2*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003 (base 4) to base 2.\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/14)\/((45\/(-60))\/((-7)\/(14\/(-3)))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:06 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5248 + 2477. Suppose 32*z + m = 20141. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -470*p**3 - p**2 + 3*p - 1898 wrt p?\nAnswer: -1410*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 29 - (-1 - 4)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 46.945. Let g = r - 6.145. Round g to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2002133?\nAnswer: -2002203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 12*s**2 - 5*s - 11. Differentiate o(y) with respect to y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -10 + 54. Let o be (1 + -2 + -5)\/(-1). Let r = l - o. Calculate the highest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -4*r, 6*r = -2*l + r + 3. Let n be (-11)\/(-9) + l\/(-18). Let o be (-75)\/6*(-1240)\/n. Round o to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 225 - 2*w**2 + w**2 + 4*w - 220. Let y be ((-11)\/1)\/(3 - 2). Let s = 15 + y. Determine b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 413023?\nAnswer: 413030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12507027121594 minus 0.28?\nAnswer: -12507027121594.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 5*f + 30, 2016*f = -2*v + 2010*f - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**23)**1 assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74831266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -629120 - -314120. What is l rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5 - 34*r**4 + 36*r**3.\nAnswer: -2*r**3*(r - 1)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/64*-4*36\/(-81). Which is the closest to 1\/2? (a) n (b) 0.045 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 2*x + x)*(-3*x**2 + 4*x**2 + 2*x**2) + 2*x**3 + 4327 + 0*x**2 + 4*x**2 + 3*x - 4309 in the form b*x**2 + q*x + j + p*x**3 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2698, 5649, 8600, 11551?\nAnswer: 14502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let p = 2499 - 2499. Suppose 8 = -5*k + 4*l, t = k + 5*l - p*l - 10. What is the third biggest value in 1, -1\/6, k?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 + 3*n - 2. Calculate p(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 - (2 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3836767 - 3836766.968299432. Let b = t + -0.0317. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**2\/r)*r)**(-33))**(-2\/15))**16 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 19 - 213*n - 37 + 10 + 426*n - 220*n.\nAnswer: -7*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 621, 664, 687?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 6:43 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 5*o - 7, -5*f + 3*o = 35. Let i be (4\/5)\/(4\/(-70)*f). What is the greatest common divisor of i and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:52 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1987\nAnswer: 3\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31014498 divided by -10338166\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(14)*2 - sqrt(70)\/sqrt(5)*-6)\/((5*sqrt(180))\/((-2*sqrt(810) + sqrt(810) - sqrt(810)) + sqrt(10))).\nAnswer: -272*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/35 + (-4 - (-60)\/(-21)). Suppose 4*m - 9 - 7 = 0, -m + 16 = -2*x. Let a = x - k. Solve 5 - a = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28387318.\nAnswer: 2, 14193659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:40 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -91b5?\nAnswer: 91ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(3))\/(sqrt(3) - (sqrt(72)\/sqrt(6) - sqrt(12))\/sqrt(4)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, p: 2, r: 4, f: 5, w: 2}. What is prob of sequence fwrp?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) - (sqrt(208) + -2)*2 - sqrt(208)) + sqrt(208) + -4 + sqrt(208)*2 + sqrt(208) + -3 + 4*(sqrt(208)*1 + sqrt(208) - sqrt(208))*3)*1)**2.\nAnswer: -336*sqrt(13) + 40777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:41 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57821, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:17 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 78229*x. Let c(b) = 18*b. Give q(c(s)).\nAnswer: 1408122*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 15 = -5*l - 5*y, 0 = 2*l + 5*y - 9. Suppose z + z - 6 = -5*q, 0 = -3*q. Suppose -55 = -z*s - r + 2*r, l*r = 3*s - 50. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077121 (base 9) in base 2?\nAnswer: -10001110001110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 197758277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5600979?\nAnswer: 3, 622331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39367 and 9.\nAnswer: -354303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27382899233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 92. Give l(0).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1012, 2016, 3020, 4024, 5028, 6032?\nAnswer: 7036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -82. Let n be (3*(-3)\/4)\/(u\/(-32)). Which is bigger: -19 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 263\/3 + -55753\/636. Let b = o + -1279\/1484. What is the smallest value in 0, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**3 - 5*h**3 - 2*h**2 - 1252 + 1253 - 4*h**2 + 4*h**2. Determine n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q - 5*o + 6, -4*q + 8 = -2*o. Let u be ((-13)\/182)\/((-5)\/(-40)). Let i = 55\/3 - 18. Put i, u, q, -12 in decreasing order.\nAnswer: q, i, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.5. Let b = 0 + m. Let l = b + 0.8. What is the smallest value in l, -0.5, -1\/10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -131. Let a = z + -66. Let v(j) = j**2 - 7*j + 7. Let o be v(6). What is the fourth smallest value in a, 0.4, o, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + 12\/(-3) - 4. Calculate the common denominator of 326\/160 - 18\/30 and y*55\/(-6) + -1 + 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5891)\/86 - -56)*(-2)\/40*2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-8)\/16*32\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 3*t**4\/4 + 13*t**3\/3 + 431*t + 148. Find the first derivative of b(n) wrt n.\nAnswer: 9*n**2 + 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*r - 6*r + 27, r - 12 = h. Let k = h + 34. Calculate the highest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23123\/7 - ((-33)\/7 - -5). Suppose -4*d = 3*p - d - q, 5*p - 5497 = -3*d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*n + 103*n = -5*l - 6, 9 = -6*n + 3*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 96 - -483?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -25*s**2 - 23*s - 20. Let x(k) = 16*k**2 + 15*k + 13. Let f(h) = -5*n(h) - 8*x(h). Let w = 4 - 7. Calculate f(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/22176 and 1\/773520.\nAnswer: 32487840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 74 = -191. Suppose 2*p = z + 25, -4*p + 7*z = 2*z - t. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 56 (c) 0.2 (d) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 18. Let j be q(-3). Suppose d - 559 = 3*m, 4*d = 2*d - j*m + 1100. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - b4905da?\nAnswer: -b4905dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*a + 2. Let n = a + -11. Suppose 12 = -y - 4*i, n + 8 = y - 2*i. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 0*k**2 + k**2 + 0*k**2 - 8 - 11*k. Let y be x(12). What are the prime factors of (-30)\/y*16\/(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(((-284)\/(-142))\/(-3*(-6)\/(-9))). Let j = 0.5 + 3.5. Sort t, j, -0.5 in decreasing order.\nAnswer: t, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*a**4 + 0 - 3\/10*a**3 + 0*a**2 + 2\/5*a.\nAnswer: a*(a - 2)**2*(a + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6349 or -114263\/18?\nAnswer: -6349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, -2, -0.5, -66?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**8\/2520 + 2*f**7\/315 + 4*f**6\/135 - 14*f**3\/3 - 29*f**2. Let i(p) be the first derivative of j(p). Solve i(a) = 0 for a.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7006 - -13884. Let i = -36754108475\/5347932 - -12\/445661. Let g = i + u. Find the common denominator of -131\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 + -40. What is the greatest common factor of m and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**3 + 90*b**2 - 6795*b + 19440 = 0.\nAnswer: -48, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -c - 112 - 30, -4*r - 120 = 4*c. Let a be (-16)\/r*14\/2. Suppose -183 = -2*f + w, -a*w + 377 - 29 = 4*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3055 or -74?\nAnswer: 0.3055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*0\/((-8)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -1\/2, 15\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 20*c**5 + 125*c**4 - 2390*c**3 + 3595*c**2 + 1050*c = 0?\nAnswer: -15, -1\/4, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*t + 193*t = -3*f - 78, 5*t + 17*f = -389 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79556*s**2 - 1885 + 167*s - 79555*s**2 + 936*s - 2058 wrt s.\nAnswer: 2*s + 1103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -16.\nAnswer: 43\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 4. Suppose 2*v - v + 20 = -3*w, 5*w + 25 = 0. Let o be f(v). Solve 2*i + 3*g + o = 0, 2*i - 6*i - 5*g - 17 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -1, -15\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 5. Let r = 3 + -2. What is the nearest to r in 1\/2, 0.4, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 3, n: 7, z: 3}. What is prob of picking 1 n and 1 m?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 40. Calculate the smallest common multiple of t and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) -0.03 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/7 - 350\/(-2450)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 28, 87, 170, 277, 408?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2266 and 1648?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 42*g**3 - 46*g**2 + 145*g + 3. Let s be o(3). Solve s = 3*h + 1173 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25 - -76.056.\nAnswer: 76.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least -193.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*a + 165324, 7*x - 266405 + 45973 = -4*a. What is the greatest common divisor of 92 and a?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5224*y - 679*y - 623*y - 410*y - 173*y.\nAnswer: -7109*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37530 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-28)\/n*(n**30\/n)\/n assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 320307 + 630457 - 310150.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 6 + 1\/90*s**5 + 38\/9*s**4 - 14*s**2 + 5776\/9*s**3 + 0*s. Factor x(a).\nAnswer: 2*(a + 76)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - -1) + (-219 + 98 - -124)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-24*s + 34*s - 27*s).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22 times 0.066?\nAnswer: 0.08052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/13752 and -5\/12606.\nAnswer: 151272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 331 - 682. Let s = 377 + a. What is the greatest common factor of s and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 29. Solve -2*o = -5*p - 2, -4*o = -3*o - 4*p - y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 20. Let v be i(-11). Let x = -12 + v. Is (3730\/15)\/((-2)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 156664.\nAnswer: 1\/78332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 6*b + 16. Let m be i(-6). Let w(p) = -9*p + m*p - 2*p. Let a(c) = -24*c - 20. Let d(v) = v + 1. Let x(t) = a(t) + 20*d(t). Give w(x(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -53*i**2 + 22936*i + 4 + 58*i**2 - 22932*i. Let h(u) = 9*u**2 + 8*u + 7. Let c(f) = f**3 + 5*f**2 - 6*f - 3. Let t be c(-6). What is t*h(q) + 5*r(q)?\nAnswer: -2*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 + 10*b - 21. Let y be h(6). Let c be (-1)\/3 + (-130)\/78. Let g be (-5)\/(525\/(-4))*y\/c. Do 1 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-15))\/((-3)\/45). Let h be (-1 - -1)\/(n\/(-2)). Suppose 2*d + 18 - 158 = h. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1*1*(-44)\/(-44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45547\/5 or -9108?\nAnswer: -45547\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -7\/5, 4\/3 in decreasing order.\nAnswer: 3, 4\/3, 1, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2482757.6 and -6?\nAnswer: 2482751.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 4, 2, -452 in ascending order.\nAnswer: -452, -3, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - -0.37. Let p = 66 + -66. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -163, -157, -137, -97, -31, 67, 203?\n\"Answer: k**3 + k**2 - 4*k - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/2 - 35*x**3\/2 + 21*x**2\/2 + 20*x. Is 28 a factor of v(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 3*p**2 + 4*p - 4. Let m be c(-4). Let y be (m\/10)\/(618\/310 + -2). Let i = y + 45. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = 6. Let g(f) be the third derivative of -1\/12*f**4 + 0 - 1\/60*f**6 + 1\/15*f**u + 2*f**2 + 0*f**3 + 0*f. Factor g(y).\nAnswer: -2*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13 = -15. Solve 4*f - o = -23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + -0.8. Suppose 2*k + 2 + 0 = -3*m, 5*k + 3*m + 14 = 0. Let q be 1\/k + (-14)\/40. Which is the third smallest value? (a) 5 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*d**3*t**3 - d**2*t**3 - 6*d**2 wrt d?\nAnswer: -1272*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 0 = -30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 11294*g + 300 = 11297*g, 2*z + 36 = -3*g for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, u: 4, n: 2, o: 4}. Give prob of sequence ouno.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*sqrt(450))\/((sqrt(9) + sqrt(576) + sqrt(9))*4))**2.\nAnswer: -25*sqrt(2)\/4 + 825\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 0*s - 5 + 1 + 0*s - 2*s - s**2. Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.4744 minutes to seconds.\nAnswer: 568.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x - 125. Let v = 23 + x. Let l be 1 - -10 - (-8)\/v. Solve -w + 5*u + 1 = 0, -l*w + 2*w - 3*u + 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 20*h**3 + 3756*h**2 - 145496*h + 275808 = 0?\nAnswer: -221, 2, 156\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -70. Let p = u - 0. Calculate the remainder when (1 + 1\/(-2))*78\/1 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -247*z + 8644. Calculate p(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 + ((-8164)\/30 - -4). Let n = m + 271. Factor n*y**2 - 2*y**3 + 0 + 8\/3*y.\nAnswer: -2*y*(y - 2)*(3*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286\/14 + (-2)\/7?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221000101001 (base 3) in base 5?\nAnswer: 1013233134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 - 3 - -2)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035629813 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 93408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -233.3 (c) 1.63 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 483*g + 4578. What is h(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -16*k**2. Let c(j) be the third derivative of 0*j - 6*j**2 - 1 + 1\/6*j**4 + 0*j**3. What is c(m(h))?\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 - 284775*b + 3416868 = 0.\nAnswer: 12, 94913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-4)\/(-12) + (-83)\/(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 7*a. Let z = 31 - 10. Suppose -z = -a*q - 3*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 26*f + 68. Calculate t(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + m + 7. Let v be b(3). Suppose -4*f + 44 = -2*u, 6*f - 4 = 5*f - 3*u. Do v and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times -176?\nAnswer: -8096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4720998 divided by 3.\nAnswer: 1573666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -691872*f**3 - 29*f**2 + 81618*f - 34 wrt f.\nAnswer: -4151232*f - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 - (-2 - (-1 + -1)) - 0. Suppose -u = 2*u - 5*v - 298, 5*v - t = 0. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2603 + 2380. What are the prime factors of u?\nAnswer: 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 4*u**3\/3 - 1612*u**2 + 649636*u + 2669. Factor p(b).\nAnswer: 4*(b - 403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 - 5*m**2 + 14. Let z = 946 + -951. Let w(t) = t**3 - t**2 + 1. Calculate z*w(g) + l(g).\nAnswer: 2*g**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14128 + -10505?\nAnswer: 3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 3*b + 2. Let v be q(-4). Solve v*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44 and -469?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m + 3. Let j be l(-8). Let a = 58 + j. Suppose 0 = i + a*k - 38 + 15, -i = -2*k + 5. Solve -1 = -i*t - 2*d, -3*t - d - 4 = -6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3242853 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/(-4) - 12*(-2)\/(-32). Which is smaller: g or 19\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(882)*-2*5)\/(sqrt(1296)*-2*-6*-6).\nAnswer: 35*sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222010102221 (base 3) in base 13?\nAnswer: -2a7c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/3, -5, 284.89, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 80. Suppose -4*z - v + k = 0, 2*z - 4*v + 5 = -z. Suppose -z*t = -0*m + 4*m - 5, 0 = -t + 1. Solve -4*y + 4*b - b = -5, 3*y + 5*b + 18 = m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7b (base 16) to base 6\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 10 = 0, -5*n + 71*p = 75*p + 3 - 0 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y - 4*y)*(-6 + 0 + 3)*(3*y + 4*y - 5*y)*(2*y + y - y).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 >= -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1087*m**2*z**4 + 253*m**2*z**2 + 21331*m*z**2 + 2828*z**4 wrt z.\nAnswer: -26088*m**2*z + 67872*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12*z**2 - 18*z. Suppose -5*d + 2*x + 2305 = 0, -3*d - 4*x + 459 + 898 = 0. Let h = d - 458. Let b(f) = -f. Determine h*n(j) - 18*b(j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-412)\/(-4429)*-4*(-4)\/32\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237852759?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhvhvh. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61974 - 6366 = 1589*o - 6145*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4 - 19 = -d, -2*d + 5*s = 15. Suppose 4 = 2*v - 3*i, 0 = v + 4*i - d*i - 2. Solve v*a - 8 = 0, 0 = 2*f + 5*a - 11 - 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 + -3.91. Let d = 96\/133 + -30\/19. Which is the closest to 1? (a) j (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 614242, 613748, 613252, 612754, 612254?\n\"Answer: -o**2 - 491*o + 614734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10131 + -10120. Solve 7 - o = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4116 is divided by 275.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) - (-6*sqrt(80) + sqrt(80) - sqrt(80))) + -5 + 1 + sqrt(245) + sqrt(5))**2 + -2.\nAnswer: -664*sqrt(5) + 34459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18918805 divided by 5\nAnswer: 3783761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -400*w - 343*w + 327*w - 328*w to the form p*w + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3754742.001 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*sqrt(26)\/sqrt(2) + 4 + -2 + sqrt(52))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 951 divided by 4\nAnswer: 951\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*x - d + 160, -10*x - 2*d + 0*d = -7*x + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 72 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**3 - 2*t + 1. Let c be y(1). Let g = c + 25. Let h be 1\/(-2) + 42\/g. Let o(f) = -f**2 + 3*f - 2. Calculate o(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from ojjjrjjjeggjjjjohre.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w + 9. Give n(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -5*o**4\/2 - 2*o**3\/3 + o - 3. What is the units digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-2 + 5 + -2). Let k = v - -2. Suppose 0 = -k*c - 2*c + i + 103, 3*i - 285 = -5*c. Calculate the highest common factor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 20*u - 39. Determine d(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l - 7. Let r be o(6). Let m = r - -86. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12533021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d - 5*f + 235, -5*d + 4*f + 253 = 0. Suppose 71 = 4*o - 3*g, 5*o - 84 + 4 = 2*g. What is the remainder when d is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*p - 1640, 4*t + 2*p = 4*p - 3310. Let i = t + 1388. Suppose 93 = -3*b + i. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2302 is divided by 2228?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 4. Let n be h(10). Let c be (-27)\/n + 2\/(-4). Solve x - c = 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*k - 49*k - 4*p + 919498, -2*p = -2*k + 919498. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -241*z + 1210. Let x be d(5). Solve 25*i - 23*i + m + 5 = 0, 25 = -5*i - x*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = o + 7, -3*o - 15 = -0*o. Suppose p = -z + 7. Suppose 3*b + m - 7 = -3*m, z*b = -2*m + 21. Solve -b = -2*h - 3*w, -2*h + 5*w - 4*w - 7 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxxbxxxxxxxxxbxxx. What is prob of sequence xxx?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5031*0.1292\nAnswer: -650.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -3\/22, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 20*n - 16 = 26*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 13) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -17*r**2\/2 + 11*r + 72. What is the tens digit of g(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2)*-1)\/(18\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*a = -52, 3*l - 2*l - 2*a = 6. Suppose 13*u - l*u + 9 = 0. Is ((-2)\/(-4))\/(u\/126) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 67, -168, -3, 3 in descending order.\nAnswer: 67, 4, 3, -3, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5780896 and 119440.\nAnswer: 28904480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 1493*c**3\/3 + 2617*c - 757. What is the derivative of w(y) wrt y?\nAnswer: 2986*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/4 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30\/121 + 2854\/9559. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g + 3 - 4 + 4*g)*(2*g - 31 - g + 48).\nAnswer: -5*g**2 - 86*g - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p. Suppose g - 6*g + 160 = p. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 7 - 7 + (1 - a - 1)*(5 - 5 + 1) + 161*a - 1157 + 1157.\nAnswer: 158*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-10)\/(-1) + 1. Suppose -5 = -4*z - 2*i + 3*i, u = -z + 5*i. Let s = z - -11. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -42030, -65.\nAnswer: -42030, -65, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = 5*u. What is the units digit of (-1)\/(u + 3) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*q = 0, 2*q = 5*f - 5 - 13. Suppose -1 = 3*o - 25. Calculate the lowest common multiple of f and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.3, -5, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkjvkzzikkvkvkzk. Give prob of picking 1 v and 1 i.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 21*y + 46. Let p be z(23). Solve p = j + j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*m + 6, 51 = 5*s - 3*m + m. Let c = -1 - s. Let r = c + 19. Solve 3*o + 0*o = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -858, -816, -774?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y = -87 + 27. Solve 0 = w + x + 3, y*x - 12 = 5*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -625 + 16123151?\nAnswer: 16122223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(130))\/sqrt(10) + 2 + -4*sqrt(52))*-2*-3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 77.13297 months?\nAnswer: 0.0064277475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15136017, 15136015, 15136013, 15136011, 15136009?\nAnswer: 15136007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 0, 5*t - 4*y + 2 = 3. Let x(w) = -498732*w**3 + 3*w**2 + 4*w + 4. Let a be x(t). Let d = -20265783 + a. Round d to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001169 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.14 - -3617.2?\nAnswer: 3616.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - m - 2 - 11 = 0, 4*x - 2*m = 14. Suppose 0*y + 102 = 5*y - x*n, 0 = 3*y - n - 62. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -261, -324, -361, -372, -357, -316, -249?\n\"Answer: 13*t**2 - 102*t - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(j**5 + 3*j**5 - 2*j**5) + j**3 - 3*j**5 - j**3 - 2*j**2 + (0*j**4 - 2*j**4 + 3*j**4)*(-4*j + 0*j + 2*j).\nAnswer: -3*j**5 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/2 + 8*b. Let t(x) = -7*x. Give t(g(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 5*w**2 + 7*w - 2. Let a be u(6). Suppose 318 = a*x - x. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31761 - -762407\/24. Calculate the common denominator of (-2 - (-554)\/(-32))*460\/(-3450) and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y**2 - 104*y - 307. Calculate h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 4, 19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 7. Let a(p) = p + 6. Let d(c) = -7*a(c) - 6*q(c). Let g be d(-1). Solve 0 = -2*l + g + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -1\/10 (c) 10 (d) 1 (e) 529\/6 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10\/z)\/(z*z\/z**(-2\/19)))**(-3\/14)\/(z**5*z*z\/(z\/(((z**(-6)*z*z)\/z)\/z))*z**(-1\/3)*z**(1\/4)) assuming z is positive.\nAnswer: z**(-2225\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00194473686 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -164*p + 238. Let y(t) = -58*t + 188*t + 280*t - 1 - 593. Let o(g) = -12*w(g) - 5*y(g). What is the derivative of o(l) wrt l?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x. Let v(a) = -141*a - 22. Determine v(n(m)).\nAnswer: 423*m - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u**3 + 5198*u**2 + 1306*u - 3900 = 0 for u.\nAnswer: -1, 3\/4, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10335682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-4\/9)*v))\/v)\/v**(-2)*(v\/((((v*v*v*v\/v**(-17))\/v)\/v)\/v))\/v*(v*v\/v**(-1\/4))\/v)**47 assuming v is positive.\nAnswer: v**(-25897\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*(249 + 145 - 71).\nAnswer: -323*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/24701646?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, 33, 5 in increasing order.\nAnswer: -2, -1, 0, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-3 + sqrt(17) + -3 + sqrt(17))) + sqrt(17) + (sqrt(17) + (sqrt(17) - (sqrt(1377) + sqrt(17))))*3 + (2*sqrt(68)*3)\/sqrt(576))**2.\nAnswer: -282*sqrt(17) + 37697\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.52 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -116369453.65 to the nearest 1000.\nAnswer: -116369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25989759.\nAnswer: 3, 43, 67157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 5, s: 1, o: 10}. Give prob of sequence gnn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y + 2*y. Let l be 60\/(-18)*36\/y. Suppose 4*x - 60 = -4*f, 4*f - 2*f = x + 45. What is the greatest common factor of f and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2. Let t(d) be the second derivative of 191*d**4\/4 + d**2\/2 - 3*d + 776. Give a(t(i)).\nAnswer: -1313316*i**4 - 4584*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28634074 to the power of 1\/2, to the nearest integer?\nAnswer: 5351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 1 - 0)*(-6870)\/212970?\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 12*s**2 - 13*s - 5. Calculate q(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96361 is divided by 12026?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from ouototjuuogoi?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 9*r**2 - 8*r - 6. Let l be (-26)\/65 + (-37)\/(-5). What is the tens digit of j(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r**2 + 4*r - 6. Let x(y) = 2*y**2 + 2. Let u(h) = i(h) + 6*x(h). Is 14 a factor of u(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t - 249. Does 28 divide h(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1282, -3809, -7578, -12589, -18842, -26337, -35074?\nAnswer: -45053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 174*k + 18. Let d(q) = -77*q - 8. Let h(a) = 9*d(a) + 4*o(a). Let b(r) = 4*r**2 - 18*r**2 - 26*r**2. Give h(b(w)).\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.088 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*u = -3*i + 70, 4*i - 5*u - 94 = 0. Suppose 3*n - t - 138 = 2*t, 0 = n - 5*t - i. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 8) in base 10?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l - 9. Let y be j(3). Let c be (-494)\/(-228) - 2\/y. Let w be 42\/10*10\/c. Solve 2*z - 2*k = -10, -4*k + w = -3*z + k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1404\/(-72) + 20)\/(2\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10370\/(-1700)*6*10\/(-6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -524, -435, -346?\n\"Answer: 89*h - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(1\/9)))\/a)**(-36)\/(a*a**(-3\/7)*a*a*a**2*a))**(4\/11) assuming a is positive.\nAnswer: a**(964\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589 < 5590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8387, 33539, 75459, 134147, 209603?\n\"Answer: 8384*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*u + 1281344 + 1012346 = 0. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -97. Suppose j + 4*n - 8 = -j, 0 = -3*j + 5*n - y. Is (-76)\/j - 8\/(-24) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 303\/(-33) - 1 - (-4)\/22. Let h be (0 - 2 - -2)\/(q\/(-10)). Suppose 2*p**2 + h*p**2 + 1 - 6*p + 2 + p**2 = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4117726.\nAnswer: 2, 241, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(6 + -2 - 3). Let t(f) = f + 17. Let c be t(q). Suppose -l + c = 3. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4950*t**3 - 239*t**3 + 249*t**3 + 1683*t**2 - 533*t**2 - 2*t**4 wrt t?\nAnswer: -48*t + 29760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 39*l + 2*s = -3, 0 = l + 4*s + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 3. Let s be t\/72 + (-3)\/9. Suppose -2 = 5*k - q, 2*k + 257*q - 1 = 258*q. Which is the second biggest value? (a) k (b) s (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/35)\/((-210)\/200). What is the closest to 6 in 0.2, h, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389180 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/100 + y**4\/5 - 11*y**3\/30 - 293*y. Factor t(m).\nAnswer: -m*(m - 11)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024865?\nAnswer: 5, 204973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -19\/3. What is the third biggest value in -2\/43, s, 2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4786 is divided by 679.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10949143061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-8)*(-56)\/(-210)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (6*(sqrt(119) + 4*sqrt(119)*-3))\/(3*sqrt(252)*-2).\nAnswer: -2 + 11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.63843 litres in millilitres?\nAnswer: 30638.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 4*q**3\/3 - q**2 - 3*q. Let p(b) be the second derivative of b**3\/6 + 46*b. Let i be (3\/(-6))\/(1\/2). Give i*f(a) + 5*p(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(1088))**2*-2 + ((sqrt(119) - (sqrt(119) - sqrt(119)*2 - sqrt(119))*3) + sqrt(119))\/sqrt(7)) + -2.\nAnswer: -13070 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxyf when four letters picked without replacement from xzuuoyoxzozfxux?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3855*n + 15808 = -3851*n. What is the highest common divisor of n and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1116.98318 + 1117. What is w rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/29580 and -181\/6960?\nAnswer: 118320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.655, 0.02, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83.4 + -60. Let i = h - 24. Let q(c) = 29*c + 293. Let z be q(-10). What is the nearest to 0.2 in z, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2) - (-25)\/(-10)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + 14308*p + 13820. Let n(k) = -3*k**2 - 5731*k - 5528. Let r(g) = 5*h(g) + 12*n(g). Factor r(v).\nAnswer: 4*(v + 1)*(v + 691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {u: 1, x: 3, j: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30193\/22 + 1373. Find the common denominator of -95\/8 and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (75\/4)\/(18\/(-72)). Let v = 127 + t. Suppose -v = -4*b - 0*b. What is the remainder when 24 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -17*o - 5. Let v(b) = -16*b - 4. Let m(w) = 2*q(w) - 3*v(w). Let k be m(1). Let s = -10 + k. Let x(h) = -2*h + 8. Determine x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-32668.\nAnswer: 13067.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = f - 10, -6*f = -f + 2*w - 35. Solve -5*m + f - 31 = t, 5*t = 4*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {m: 4, b: 2, t: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771720 is divided by 884?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000150506 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -464693, -929388, -1394097, -1858826, -2323581, -2788368?\n\"Answer: -f**3 - f**2 - 464685*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21852339, 43704742, 65557143, 87409542, 109261939, 131114334?\n\"Answer: -r**2 + 21852406*r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 4358 (c) -0.1 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8344113.31 + -8344029.3100202. Let y = 84 - l. Round y to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47015 is divided by 23506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19542 is divided by 1028?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from {z: 5, s: 5, i: 3}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 7*c - 6*c)*(2 - c - 2) + (-2*c + c - c)*(-2*c + 3*c + c)*(0 - 2 + 1).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 5*n - 4*q + 5*q, -n = -4*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -3*y + 4*m + 78, 5*m = 3*y - 236. What is the remainder when y is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 3*m + m**2 + m**3 + 3*m.\nAnswer: m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + z - 4. Let l(v) = v**2 + 3. Let g = 12 + -16. Determine g*l(q) - 3*p(q).\nAnswer: 2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -12*v**2. Let h(n) = 2*n - 1197. Calculate h(c(q)).\nAnswer: -24*q**2 - 1197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*o - 87, 91*d = 94*d. Which is smaller: o or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -322\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v - 890. What is j(-70)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.65 + -0.55. Let w = 1.2 + n. Let q = -12224\/116489 - 2\/6131. What is the smallest value in 9, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000992302 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 116*d**2 - 119*d - 345. Let k be x(-116). What is k rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*(((j**0*j)\/j)\/j*j*j)\/j))*j**(10\/7))\/(j**(-2\/9)\/(j\/(j**7*j))) assuming j is positive.\nAnswer: j**(-274\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 784 + -29b?\nAnswer: 4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**6\/1800 - u**5\/300 + u**4\/120 + 5*u**3\/3 - 4. Let x(l) be the third derivative of h(l). Solve x(q) = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -37 + 6 + (-2 - 4 - -46).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8 - 6) + (-3 - 12 - -22) - 11) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -18*p**2 - 371*p - 2. Let w(l) = 7*l**2 + 155*l + 1. Let n(x) = 5*a(x) + 12*w(x). Let r(g) = -19*g**2 + 14*g + 7. Calculate 7*n(q) - 2*r(q).\nAnswer: -4*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57069, 57153, 57237, 57321?\n\"Answer: 84*r + 56985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26d5 + 3?\nAnswer: 26d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118.7 + 53.7. Which is the smallest value? (a) -2\/7 (b) m (c) 2\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-45) - (-636)\/180) + -3 + 0. Let n = -137 + 407\/3. Which is the closest to j? (a) 5 (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 38 = 2*y + 14, 2*y - 5*b - 24 = 0. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*t - x + 2, 4*x - 15 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2048\/7 + 3712\/7*p - 1682\/7*p**2 = 0.\nAnswer: 32\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167696, 167728, 167762, 167798, 167836, 167876?\nAnswer: 167918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 19. Let l(d) = -d**3 - d**2 + 8*d + 7. Let a be l(-3). Let s(m) = 8 - 3*m + 5*m - a. Determine s(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3860 and 71640?\nAnswer: 13826520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/12 and -79\/554342.\nAnswer: 3326052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 + 2*x**3 - 9*x**5 + 10*x**4 + 14*x**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2709 + 2713. Solve 0 = 4*c + i*x + 8, 5*c - 4*c = -2*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + x)*(-4*x**3 - 4 + 4) + (-x + 4*x - 2*x)*(2948 + 29*x**3 - 2948) - 3*x**2 + x**4 + 3*x**2 + (x + 0*x - 2*x)*(x**2 + 2*x**3 - x**2).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (385 + 17 + 178)*(1 - 1 + 1)*(2*f - 5*f + f - f**2).\nAnswer: -580*f**2 - 1160*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*c - 1488, -t + 373 + 1139 = 5*c. Suppose 7*m + 412 = t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -3 in decreasing order.\nAnswer: 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19785399 times 8?\nAnswer: -158283192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 4*x + 3*k - k, 4*k - 256 = -3*x. Suppose -1 + 3 = f. Suppose -f*r + x = 12. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17159202 divided by -5719734?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 7*f - 123. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.3. Let z = 4.8 - 1.8. Which is the second smallest value? (a) 4 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94193171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*c + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-28)\/(-21) + (-1)\/3. Are b and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -1\/5*v**5 + 0*v**2 + 0*v + 1\/6*v**6 - 1\/2*v**4 - 3 + 0*v**3. Solve i(q) = 0 for q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11883 and 1428?\nAnswer: 332724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -725, -715, -705, -695, -685, -675?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1244*v - 62 = 1213*v. What is the second smallest value in 0.26, -0.2, -2, -0.1, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is e7 (base 15) in base 14?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 3*f**3 - 3*f - 2*f**3 + 2*f**3 + 3 to h*f**3 + y + k*f + i*f**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*w, -6*c = -2*c + 2*w - 154. Calculate the remainder when c is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11834816 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 6. Let c(y) = -11*y + 18. Let n(b) = -3*b**2 + 10*b + 42. Let j be n(6). Determine j*c(k) + 17*x(k).\nAnswer: -2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5310 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(88)*4 + sqrt(88))\/sqrt(8)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**5 - 15*z**4 + 69*z**3 - 33*z**2 - 66*z + 48 = 0.\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -24. Suppose 0 = 3*j + s*d - 515, -173 - 12 = -j + 5*d. Suppose 0 = 3*q, -6*k - 2*q = -k - j. Calculate the greatest common factor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.253835978 - -10.868355722. Let q = f + -10.85219. Let c = -0.27 + q. What is c rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 372106\/11 + -1488281\/44. Factor 31\/2*a**3 + 0 + 1\/4*a**5 - 32*a**2 + 24*a - b*a**4.\nAnswer: a*(a - 4)**2*(a - 3)*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1299 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 251 + 189. Suppose 2*t - 4*t = -2*k - i, -k - 3 = 0. Suppose 3*d + t = 62. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 2409*j + 2252880.\nAnswer: -(j - 3129)*(j + 720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9818899.\nAnswer: 9818899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1097, 1116, 1139, 1172, 1221, 1292, 1391?\nAnswer: 1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -39. Suppose r = 2*c - 0*c. Calculate the remainder when 16 is divided by (-8)\/3*(-36)\/c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-7)\/(182\/(-39))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -56, -146, -290, -506, -812, -1226, -1766?\nAnswer: -2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 9*m**2 - 16*m. Give p(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 7*k**2 + 16*k - 10. Let d be b(-9). Suppose 0 = 2*c - 2*f + d, -3*c - f + 0 = 4. What is the units digit of (c - 0) + 2 + (7 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*r - 135 - 11*r - 14*r + 2344 as a*r + t and give t.\nAnswer: 2209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -35. Let c(q) = q**3 - 10*q**2 + 6*q - 18. Let l be c(10). Let b = l - d. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let w be (l\/4)\/((-36)\/64). Let a(y) = -y**3 - 4*y**2 + 2*y + 8. Let u be a(-4). Is w bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6 = 2*l. Let y be ((-21)\/(-14))\/(1\/(-2)*-1). Suppose v = 2*g - 10, -y*g + 29 - 14 = v. Solve -g*n = -l*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41272 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1645 - -3855. Is 55 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0 + 1 - 2 + y - 1. Let v(b) = b - 3. Let m(l) = -5*h(l) + 3*v(l). Determine m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-273)\/(-35) + -5 - 1) + -1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2226186*t**4 - 12*t**2 + 13234061*t?\nAnswer: -26714232*t**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 369*n**2 - 2629*n - 648. What is b(376)?\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 31*h - 9. Let g(l) = -16*l + 5. Suppose 0 = 2*k - 30*k + 168. What is k*j(p) + 11*g(p)?\nAnswer: 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144544.9*1.9.\nAnswer: 274635.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 168 = 4*h, 3*h - b - b - 126 = 0. Suppose -39 = -2*y - y. Suppose y - 83 = -5*j. What is the highest common divisor of h and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -60*l**2 - 7*l - 6. Calculate t(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -883*m**2 + 6*m + 8. Let p(a) = 23840*a**2 - 165*a - 220. Calculate -165*f(r) - 6*p(r).\nAnswer: 2655*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/400*(-2 + -5)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*h**2 - 50*h**2 - 57*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 + -8 + 4 + 38 + -15 + -85.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r + 2*r**2 + 8*r + (0 + 0 - 3)*(47*r - 44*r - 2*r**2 + r**2 + 4).\nAnswer: 5*r**2 - 9*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(16\/(-36 - -4) + (-1)\/(-2)). Put -4, -151, c in increasing order.\nAnswer: -151, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3733614743 to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 1. Let i(f) = -f**2 - 21*f + 3. What is -2*i(l) - 6*r(l)?\nAnswer: 2*l**2 + 36*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 6*g**2 - 3*g - 3. Let j(l) = 4*l**3 + 11*l**2 + 5*l + 6. Let f be (-1 - (-14)\/(-42))\/(-4)*(16 + -1). Calculate f*u(z) + 3*j(z).\nAnswer: 2*z**3 + 3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74327*a*m**2 + m**2 + 813*m - 10 with respect to a.\nAnswer: 74327*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -631085*22.\nAnswer: -13883870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18*(10\/(-10))\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10132*c + 132125. Give u(-13).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppo when three letters picked without replacement from poop.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 664501500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 3\/4, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15623 is divided by 114.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 5*d + 11, 36*p - 35*p = 3*d + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1927 divide 3542108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 15*t - 37. Give l(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 452, 1516, 3604, 7058, 12220, 19432, 29036?\nAnswer: 41374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 131 + 55. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-278746.72.\nAnswer: 836240.16","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate prob of sequence uzm when three letters picked without replacement from {u: 5, w: 1, z: 10, m: 1}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 11 - 4 - 10*l to z + g*l and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.1 - 15.5. Let h = l + 0.8. What is the nearest to 0 in 6, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 12. Solve -5*u + 2*c = -0*u - 14, 0 = -2*u + j*c - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let w(p) = -5*p**2 + 47993*p - 2. Give w(o(k)).\nAnswer: -20*k**2 + 95986*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 69.957. Let l = -0.513 - c. What is l rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7*m - 4*m + 593 = 0, 4*j - 4*m = -468. Let c = j + 172. Let v be (-70)\/c - (-12)\/9. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13305 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2527361?\nAnswer: 19, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2004333?\nAnswer: -2004332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65883\/10 + -6598. Find the common denominator of d and -4\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + (-31)\/(-3). Suppose 3*l - t = -2. Suppose 3*s - 5*x + 14 = 0, 3*s - 2*x + l - 1 = 0. Solve -k - 7*o = -3*o + s, 3*o - 3 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1811*k - 220984. Determine v(-122).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2710901108 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*g - 11. Let s be (6\/(-4))\/(3\/g). Suppose 0*q = s*q - 26. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, 1 o, and 1 k when four letters picked without replacement from {d: 5, o: 1, g: 1, f: 1, k: 1, s: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6) - 1246\/912. Let w = 6819\/1672 + d. Find the common denominator of w and 49\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2210 and 3594110?\nAnswer: 61099870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 61b?\nAnswer: -61b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3994486.02 minutes?\nAnswer: 396.278375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 7*z + 9. Let k be v(4). What is the smallest common multiple of -6*(-3)\/(-6)*k and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -20*b - 10*b**2 - 6 + 5*b**3 + 35 + 1 + 10 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3911\/4473?\nAnswer: 3911\/4473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + j = -90. Suppose 0*m + j*m = 2*m. Which is the smallest value? (a) 0.4 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 2105840*m + 277160131600.\nAnswer: 4*(m - 263230)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 - 10793*m - 433320 = 0.\nAnswer: -40, 10833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10 - (-4147)\/(-715)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -14. What is the second biggest value in -2, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2 - 3 - 2*b - b + 2*b. Let u be y(-7). Solve 0 = 2*j + 4 - u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1995852 - -144.8007708. Let k = l + -146. What is k rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 30*n - 2168528 = -2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1323, 1325, 1327?\nAnswer: 1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10820 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177759111.6ns to weeks.\nAnswer: 0.000000293913875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/28)\/(1*-3*1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58513?\nAnswer: 7, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2616645459 to the nearest integer?\nAnswer: 51153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 46*a - 49*a. Let d = a - -98. Let v(x) = 4*x + 3 - x**d - 2*x**2 - 3*x - 3*x. Calculate v(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 4:40 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4, -3*s + s + 16 = -4*c. Let y(u) = 3 - s*u + u - 6*u**2 + 0. Let w(h) = 9*h**2 + 8*h - 5. Let l(n) = 5*w(n) + 8*y(n). Give l(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -275.\nAnswer: 8\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -9*v + 30. Suppose -16*w + 4 = -v*w. Solve 0 = -w*g + 7*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*o**2 - 3 + (4*o - 6*o + 0*o)*(3 - 3 + 2*o) - o**2 + 2*o**2 + 0*o**2 + 0*o + 0*o + 2*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.2. Let l = -1116 - -392. Let c = l + 727. What is the nearest to u in c, 1, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 e when three letters picked without replacement from {w: 1, e: 2, j: 1, a: 2, n: 3, p: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4608477?\nAnswer: 3, 29, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10476 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -386 - -315. Let n = t - -383. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0563313+12173\nAnswer: 12172.9436687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2, 63.\nAnswer: -2, 2, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5041*h**3 + h**2 - 2*h + 600.\nAnswer: 30246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-810)\/(-12))\/45)\/((-45)\/6*(-40)\/200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281291943.\nAnswer: 3, 93763981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.4 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10150 and 1018625?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 2*k + 1. Let l be x(-3). List the prime factors of 209\/l*(-1 - -3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18536 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1283, 2557, 3825, 5087, 6343?\n\"Answer: -3*z**2 + 1283*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 10*o**3\/3 + o**2 - o - 7. Let a(r) = r - 1. Let i be a(2). List the prime factors of t(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 1122, 2514, 4462, 6966?\nAnswer: 10026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1608?\nAnswer: -1608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4)\/(1\/12). Let f(w) = 4*w - 2. Calculate f(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1515, -1423, -1297, -1131, -919, -655?\n\"Answer: p**3 + 11*p**2 + 52*p - 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 5685509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118961163 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119592 is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -44, -65, 0, 1.\nAnswer: -65, -44, -3, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 57*u = 396 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 511143 (base 6) in base 5?\nAnswer: 2243310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -160*v + 86 - 46 - 50. Let w be c(-8). Suppose 0 = -12*r + w - 34. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 62 + 124*z**2.\nAnswer: 124*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12477271 to the nearest integer?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5087*p**5 + 426*p**4 - 90*p - 1497.\nAnswer: -101740*p**3 + 5112*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 - 15*f - 13. Determine h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 5. Let p be v(-3). Let x(z) = -10*z**3. Let n be x(p). Let h = 1 - n. What is the highest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 3:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5.4. Let a = -196.4 + 196. Let d = a + b. Sort d, -1\/5, 2\/5 in descending order.\nAnswer: 2\/5, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/6 - -9 - -15. Let b be (171\/(-114))\/((-13)\/y + 1). Factor -36\/5*h - 27\/5 + 6\/5*h**2 + b*h**3 - 3\/5*h**4.\nAnswer: -3*(h - 3)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0782738 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.37 * -7\nAnswer: 16.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 31 + 15. Suppose 2*h - 4*b - 2 = -0, -5*h = 3*b + p. Let o be -79 - (-2 - -3)\/h. Round o to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 35*c - 11 + 11.\nAnswer: -3*c**2 + 35*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06536 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 385924.6 decades?\nAnswer: 46310952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from hyyhwwywhyycyhhy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 2*d**2 + 1. Suppose -2*k + 0*k + 5*u = -30, 12 = -3*u. Let j be 12\/k + 2\/(-5). Calculate w(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d - -34?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1568)\/(-4480)*32\/84.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*v + 0*v**2 - 5*v + 2*v**2 to the form d*v**2 + m*v + i and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5 + 4*l + 5. Suppose 2142 = -41*y + 2183. Give k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/11 + (-12)\/2. What is the tens digit of 1 + -1 + 578\/2 - a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*m**2 - 254*m**2 - 139*m**2 - m + m.\nAnswer: -125*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiititititttiitttii. Give prob of picking 1 t and 1 i.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**2 + 109*x - 201. Calculate the remainder when 2177 is divided by l(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1127040 and 6240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9192.6 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 80*s - 569. Give b(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61875 is divided by 499.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 0*y. Suppose y*h = h - 63. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -471027\/20 + 23557. Calculate the common denominator of 27\/682 and c.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32\/5 - 153\/20. Let v = -59352 - -413045\/7. Let q = v - -345. What is the nearest to b in -0.3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 55 - 3 - s - 17 + 42 in the form k*s + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 4*d - 4. Let s be i(4). Suppose 16*p + 5*u = 18*p - 22, 5*p + 2*u + 3 = 0. Which is the nearest to p? (a) -2\/3 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3 = -2*l, 0 = -11864*l + 11882*l + 108 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -b769 (base 14) to base 4\nAnswer: -13232201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 37 = -4*r + 3*t, -t = r - 41. Let g(p) = 68*p**2 - 560*p + 138. Calculate the remainder when r is divided by g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3415 or -3644?\nAnswer: -3644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 + (-1)\/(-4). Let g = 3 - 0. Let y = 24298.7 - 24299.1. What is the nearest to v in -5, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 15. Let f be (-2)\/12*28\/d. Which is the closest to f? (a) 1\/2 (b) 1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:29 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 6*z**2 - 6*z - 3. Let w be h(7). Let k = 107 + w. Let b = -82 - -134. Calculate the highest common divisor of k and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let h be g\/(-9) - 20\/(-9). Solve -7*x**5 - 15*x**3 - 19*x**4 - x**2 - 12 + h*x + 12 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-312)*18\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*y**5 + 29*y**5 - 6*y**2 - 14*y**2 + (0*y - y**4 + 0*y + 0*y**4 + 5*y**4 - 4*y**4 + (y**3 - 4*y**3 + y**3)*(y + 0*y + 2*y))*(4*y - 2*y + 2*y).\nAnswer: -25*y**5 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -514*k - 18. What are the prime factors of a(-2)?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -48*f - 2. Let j(t) = 12*t + 1. Determine -2*g(i) - 9*j(i).\nAnswer: -12*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.98 rounded to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*v, 2*v = 3*v - 5. Let p be 2\/(-4) - 146\/y. Let k(c) = -9*c**3 - 5*c**2 - c + 4. Let x be k(-1). Calculate the highest common factor of x and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b + 25 = 249. Let n be 5\/((-5)\/b) + -172. Is n bigger than -179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4916 (base 10) in base 3?\nAnswer: -20202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328644 is divided by 395.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m + 9*m + 3*m)*(-5 + 2 - 3).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1175\/(-10))\/(-5) - 34\/68.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -28 + 8. Suppose 0 = r*m + m - 5. Let n = 1627\/13 - 125. Which is greater: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 30 = -5*h. Suppose 6*s - s + 45 = h*q, 4*q + 5*s = -5. Suppose 129 - 429 = -q*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/6 - 2*g**3\/3 - g**2\/2 - 3*g. What is the units digit of v(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1169459, -1 in descending order.\nAnswer: 1169459, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1616 is divided by 417?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13832 and 530936?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 74*b - 3846. Determine l(52).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from fssfdfsjjlsydsj.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 105*l - 6 + 19 to x + j*l and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 5*y**2 + 6*y + 7. Let h(p) = 3*p + p + 2*p + 13 - 5*p. Let c be h(-7). What is the units digit of z(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/9 + 7061690*j\/3 = 0. Calculate j.\nAnswer: -10592535, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 12*z - 10, -n + 10 = 5*z. Let d be 71\/(-5) + (-5)\/(-25). Let v = 14 + d. Solve v*c + n = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -290, -290, -280, -254, -206, -130, -20?\n\"Answer: b**3 - b**2 - 4*b - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 1. Let w(f) = -5*f. Suppose 21 - 18 = -3*g. What is g*w(v) - 3*q(v)?\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*v + 333 = 0, -89*u = -88*u + 2*v + 131. Put -3, -2, u, 0, -4 in descending order.\nAnswer: 0, -2, -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g**14)\/(g**(-13)\/g**8) assuming g is positive.\nAnswer: g**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230 - -245. Suppose -4*t + z - 4*z + k = 0, t = 5*z - 2. Put t, 5, 23 in increasing order.\nAnswer: t, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -882*1 + 77\/(-7). Is -893 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-9 - (88*(-30)\/(-1008))\/((-2)\/7))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323916 by -4.\nAnswer: -80979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1f88 (base 16) to base 12\nAnswer: 4808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -7) + 6123\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.0179.\nAnswer: 0.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x - 4. Let b(f) = -2*f - 1. Determine 14*b(u) - 3*m(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 - 5*(-3 + 2). Solve c*j = 4*u + 36, -2*j + 26 = -0*j - 4*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*n**3*y**3 - n**3*y + 18*n**2*y**6 - 1005*y**2 wrt y.\nAnswer: -150*n**3 + 2160*n**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*u - 2, 3*c = -c - 3*u + 11. Find the third derivative of -c*g**3 - g + g**2 - 4*g**2 + g wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 30 = 0. Calculate the lowest common multiple of d and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917 is divided by 934?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 699, 2295, 5395, 10497, 18099?\nAnswer: 28699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpp when three letters picked without replacement from hkrpbpb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6\/(-4)) - -13. Let y = -7 + l. Let r be 20\/6 - y\/12. Solve -r*k = -k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 24 - 3) + -4 - (20 + (-31 - -18))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2051417 (base 8) to base 11\nAnswer: 342976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose 29*v - 55 + 142 = 0. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4 and -35.3879 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 434 + -244. Suppose h = 5*s - 0*s. Suppose 0 = 2*r - 12 - s. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 + 5088*i - 111815.\nAnswer: -(i - 20330)*(i - 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*((4*p + 37*p + 13*p)*(-2 - 3 + 3) - p + 5*p + 4*p).\nAnswer: 200*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 157, 208, 213, 160, 37?\n\"Answer: -2*d**3 - 11*d**2 + 98*d + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (32\/6)\/(7 - 940\/135)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a1a - -6a20?\nAnswer: 6002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1301\/9 + 1 + -3. Let x = 409\/3 - j. Let a = 34 - 89\/3. Calculate the common denominator of x and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*d = 291*d - 708*d - 5*m + 92, -16 = -d - m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)\/h)**(-46)*((h**5*h)\/h)\/(h*h**(-5\/9)) assuming h is positive.\nAnswer: h**(1861\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4494 and 2782?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -8 - (-116)\/24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21620 - -21617. Let j = -1.2 - -0.2. What is the smallest value in 3\/2, r, j, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.265 + 1.035. Which is the third smallest value? (a) k (b) 2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.646 minus 58784?\nAnswer: -58658.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 471*k - 44284. Give n(-127).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 5*j + 1. Suppose 4*m + 3 = -b, -4*m = -5*b - m - 15. Let w be (-85)\/15 - 2\/b. Let u be n(w). Solve -z + 1 = -u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/9)\/(q\/((q\/(q\/(q\/(q\/(q**(-1\/14)\/q))*q))*q)\/q)))\/((q\/(q*q*q\/q**(-3\/13)*q))\/(q**2\/q)) assuming q is positive.\nAnswer: q**(5903\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (-25)\/(-4). Suppose -3*v - h = -100 + 3, -5*v + 5*h + 155 = 0. Calculate the remainder when v is divided by w\/21 + 86\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1164*n - 10. Let x be z(0). Let l(g) = -13*g - 135. Give l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 3, l: 1, u: 1, r: 2}. What is prob of picking 1 r and 2 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1430*u - 19 - 73391*u + 20.\nAnswer: -71961*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -364 (b) 2\/9 (c) -0.2 (d) -285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42561 = -5*g + 3*m, 6*g - 4*m = 3*g + 25541. List the prime factors of g.\nAnswer: 3, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143\/(-33)*-15)\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.3. Suppose -82*g + 87*g = -15. Which is the nearest to j? (a) 5 (b) g (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5617*-232.\nAnswer: -1303144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let d(q) = q + 10. Calculate the remainder when (-4)\/22 - (-200)\/11 is divided by d(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 122669 + -5?\nAnswer: 122664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -11, -0.1, 4, -2.\nAnswer: -11, -2, -0.1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 30. Let i = j + 6. Let y = -12 + 35\/3. What is the nearest to y in i, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m + 1. Let j be y(2). Let r = 1 + -3. Let o = r - j. Solve 2*s - p - 11 = -0*s, p = o*s - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427881481 to the power of 1\/2, to the nearest integer?\nAnswer: 20685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/231)\/(8\/(-24))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*d**2 - 232*d - 8 = 0.\nAnswer: -2, -2\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10067 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -756.896143725 - -47?\nAnswer: -709.896143725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159388 + -1473.7.\nAnswer: 157914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9 + 9 - 2*k**2. Let v(t) = -3*t**2. Let x = -6 - -11. Calculate x*s(j) - 3*v(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, b: 1, f: 11}. What is prob of sequence fkf?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11836*b - 412. What are the prime factors of q(1)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -5559 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*l - 1307 = 0, -2*k = 6*k - l - 10364. Calculate the lowest common multiple of k and 1.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521279 a multiple of 1405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-8 - -12) + 11 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4 + 3135*t + 3 + 28*t**3 - 3137*t. Calculate j(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -42, 4, -19 in increasing order.\nAnswer: -42, -19, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446603984 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/333 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-1)\/(-18)). Let z be (-6)\/((-7)\/((-21)\/i)). Let f = -1 + 0.9. Which is the closest to f? (a) 2\/7 (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose u + 1 + 3 = r. Let z = -3 - u. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121022102 (base 3) to base 8.\nAnswer: 27163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from axexa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12796, 12795, 12794, 12793?\n\"Answer: -o + 12797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f + 4*f. Is -1996*(f - 45\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(75))**2 - sqrt(20) - sqrt(20)) + 2 + 5*(sqrt(5) - (sqrt(110)\/sqrt(2))\/sqrt(11) - sqrt(5) - 5*(sqrt(5) + sqrt(5) + sqrt(80))).\nAnswer: -159*sqrt(5) + 14\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6474569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 62*h**2\/3 + 208*h - 672.\nAnswer: 2*(h - 12)**2*(h - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 487*l - 2. Let x(c) = 2442*c - 11. What is -33*j(p) + 6*x(p)?\nAnswer: -1419*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**2 - 19*x + 7408 - 7410 - 6*x**4 + 3*x**4 to h*x**3 + g*x**2 + s + y*x**4 + q*x and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:54 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 58*n**2 + 661*n + 4876. Calculate j(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (1 - -1) - 18) + 6 + 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t = 19*x - 22*x + 44, -4*x - 3 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -5*h, 0 = -0*p + 2*p - 4*h + 2. Let t = p + 5. Suppose -2*q - 5*f + 173 = 0, -4*f + 352 = t*q - 0*f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74214884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -6. Let a = -1625.958121 + 1637.9581. Let o = a - l. What is o rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.66 and -42.\nAnswer: 489.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9)*(-9)\/6. Is ((-4)\/8)\/(r\/(-50)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -33.69, -3, 2 in decreasing order.\nAnswer: 2, 0.03, -3, -33.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 413*u*v**4 + 44*u*v**2 - 2*u*v + 3*u - 319*v**6 + 2*v**4 + 1644*v**2 wrt v?\nAnswer: 9912*u*v - 38280*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 81 and -3.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49290 is divided by 105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5768 - -9982. Let l = j - 92727\/22. Calculate the common denominator of -81\/8 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -11. Let p = -1.19 - 32.81. Let h = p - s. Which is the biggest value? (a) 1 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:12 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 33. Let i(m) = -m + 180. Determine i(z(h)).\nAnswer: 4*h + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5*f - 1 = 0, -3*k - 2*f = -5*f - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = 136. Let h = p - -58. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*v - 874 = -5032 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + 0 + 4 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + s + 3 = -2*f, 5*s - f + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(2*sqrt(5)))\/(1*sqrt(275)).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30529564 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -545, -1135, -1725, -2315?\n\"Answer: -590*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 140.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 - -8505020?\nAnswer: 8505111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*-1*(-25)\/(-10). What is the highest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389186.\nAnswer: 2, 7, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6826984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 + -6 + 1 + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/7)*f)**(-5\/11))**15*(f*f**(-2\/9))**(-29\/4)*(f*f*f**(-2\/5)\/f)**41 assuming f is positive.\nAnswer: f**(46801\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -27145\/2159 smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 6*s. Let b be h(5). Suppose 0 = t - b + 6. Let f(u) = -517*u. Is f(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11149570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 - y**2 - 2*y - 350.\nAnswer: -3*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - -49 - (1 - 59 - (-1 - (3 + 2)))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319926.35 rounded to the nearest 100?\nAnswer: 1319900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5741 + -4?\nAnswer: 573b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3866, 3881, 3910, 3959, 4034, 4141, 4286?\nAnswer: 4475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 1515253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + ((-28)\/756)\/(2\/(-258)). Let l(i) = -46*i**3 + 5*i**2 - 5*i. Let b(o) = -69*o**3 + 8*o**2 - 8*o. Give k*b(f) - 8*l(f).\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 33*j + 0*j**3 + 0*j**6 + 0*j**5 - 1\/56*j**8 + 8\/3*j**4 + 0 + 0*j**2 + 0*j**7. What is the third derivative of f(m) wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -22) + (11 + -11 - 10) + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.528 + 39693?\nAnswer: 39693.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3024974014 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/421 + -3711\/5473. Let r = -24\/91 - k. Let f = 1 - 2. Which is the fourth smallest value? (a) 1 (b) -5 (c) r (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/12 + 3*x**2. Let q(a) be the first derivative of -39*a**2\/2 + 5*a + 11974. Give m(q(i)).\nAnswer: -78*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 2*o + 5. Let f(k) be the third derivative of k**5\/60 - 7*k**4\/24 + 7*k**3\/6 + k**2. Let p be f(6). Suppose 0 = 3*q - 16 + p. Calculate d(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57010699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 9397400.59.\nAnswer: 9397400.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5124, -3825, -2526?\n\"Answer: 1299*n - 6423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008143 to five decimal places.\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3929\/200 + -157\/8. Let x = -247\/150 - n. Which is the closest to 0? (a) -1\/11 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 22. What is the units digit of (-3 + 6 + v)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.909 + -0.091. Let p = -2\/1167 - -2360\/15171. Put 5, 10, g, p in increasing order.\nAnswer: g, p, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/63, -1, 0.141, 0.2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5dd + -2d?\nAnswer: -62c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5 - 9*p**2 - 5*p - 2*p - 3*p + p**3 + 0*p**3. Let x = 8 - -2. Determine c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27871874 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3488, -3485, -3482, -3479, -3476, -3473?\nAnswer: -3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7374 greater than 7374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*-2 - sqrt(3600))\/(((-5*sqrt(96) - sqrt(96)) + sqrt(96))\/sqrt(8)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 323716.1 to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + v**2 - v + 2. Suppose -2*f = -3*j - 8, -3*f + 0 = -2*j - 7. Let r be q(j). Let t(n) = -n**2 + n + 5. List the prime factors of t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -22312?\nAnswer: 22312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*z**2 - 27*z**2 - 30*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 38720 = 173668. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 99 = 3*w, 5*o - 6*o - 3*w = -21. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2 - 2431300*k + 738902461250 = 0?\nAnswer: 607825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -f - f. Suppose 4*i + 4*m - 24 = 0, 0 = 5*i - 3*i - 2*m + f. Let w = 4 + i. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r. Let u(a) = -3*a. Let c(s) = 2*s. Let p(m) = 5*c(m) + 4*u(m). Give d(p(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5\/18, -5, 0.096 in increasing order.\nAnswer: -5, -3, 0.096, 5\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3645977, -3645979, -3645981, -3645983, -3645985?\n\"Answer: -2*o - 3645975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 14*d - 54 = 0. Which is the third biggest value? (a) 5 (b) d (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 35*r**2 + r. Is 5 a factor of o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30820 and 582268?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 16*z + 54 - 72 + 44*z - 76*z + 16*z.\nAnswer: -2*z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.41 (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3648 and 456.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1770483, 3540977, 5311471?\n\"Answer: 1770494*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 502 and 4267.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 4)*(1 + 2*t**2 - 1 + (0 + 0 + 2*t)*(-3*t - 16*t - 6*t)) to k + m*t + i*t**2 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/(n*n*n**10*n)*(n*n*n*n**(18\/5))\/(n\/n**(8\/13)) assuming n is positive.\nAnswer: n**(-831\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**13)\/b**(-3\/2) assuming b is positive.\nAnswer: b**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*k**2 + 39*k**2 + 37*k**4 - 1 + 2*k**4 + 1 + (-k - 3*k + 0*k)*(2*k**3 - 1 + 1) in the form v*k + z*k**4 + n*k**3 + h + r*k**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r - 2*r - 3*r)*(0*r + 12*r + 14*r) + (0 - 2 - r - 2)*(-2*r - 2 + 2) to t + c*r + s*r**2 and give s.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/65155 and 13\/147706385.\nAnswer: 147706385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*z + 1871 + 1188 = 17*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (0 - 16\/9). Let a(q) = q**2 + 1251*q - 5024. Let x be a(4). What is the closest to i in 4, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - 14*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290.1 - 290. Suppose 94 = 7*l + 346. What is the closest to k in l, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501 + -3?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/41)\/j)*(j*j**(1\/4))\/j)\/(j**(5\/3)*j*(j\/j**(-9\/4))\/j*j*j))**(-5\/8) assuming j is positive.\nAnswer: j**(355\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -2.27?\nAnswer: -9.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -530948 + 3716640\/7. Determine s, given that -m*s**5 - 128\/7*s**4 - 1024\/7*s**3 + 0 + 0*s + 0*s**2 = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 391*s**2 + 122*s + 1041. What is c(130)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:47 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 2. Let j(y) = y + 6. Let p be 58\/(-18) - -2 - (-28)\/126. Let f(d) = p*j(d) + 3*r(d). Let n(o) = -8*o**2. Give n(f(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -1) + (-5 - (2 - 4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 + 8*m + 5. Let c be p(-6). Suppose -c = -b - 16. 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: Put together 0.218 and 22145.09.\nAnswer: 22145.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50290, -50289, -50288, -50287, -50286?\nAnswer: -50285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 20 = -4*i, 0 = -4*i + 75*o - 72*o + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:10 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -430*u**2 + u. Let r(f) = 25*f + 5491. Give r(p(m)).\nAnswer: -10750*m**2 + 25*m + 5491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -55. What is the closest to a in 7, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 0*n - 41 - 3\/16*n**4 - 1\/20*n**5 - 1\/4*n**3 - 1\/8*n**2. Factor x(r).\nAnswer: -r*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:13 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-2) - 2)*(6 + -5)*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + -7 - -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 897, 881, 865, 849, 833?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 7*r - 2. Suppose -3 = -p - 0*p. Determine w(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4890?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*l - 26 - 27, 5*l = 2*x + 19. Let f be 30\/8*2*(-64)\/x. Solve 0 - f = 8*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252418, 252303, 252118, 251869, 251562, 251203?\nAnswer: 250798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 r when three letters picked without replacement from tmrmmrrmsvmmtmmmtr.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15042 and 3920948?\nAnswer: 11762844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13629)\/(-22))\/21)\/((-371)\/106)*-7?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 17941?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 3*a**2 + 0*a**2)*(0 - 2 + 3) + 2*a - 2*a - a**2 + (a - 5*a + a)*(-5*a + 5*a + a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - sqrt(18)\/sqrt(2))\/sqrt(3) + 0 + sqrt(3) + -2 + -1.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - f + 18 = -v, 5*v = -f + 32. Let o(h) = 3*h**2 + 6*h + 1. Calculate the remainder when o(-4) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16041 is divided by 571?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 3. Let i(d) = -d**2 - d - 5. Let p(n) = -n**3 - 6*n**2. Let s be p(-6). Let f be i(s). Determine o(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3631, 7259, 10887, 14515, 18143?\n\"Answer: 3628*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**4\/12 - 55*u**2 + 4*u + 3. Let l(f) = f**2. Give l(g(n)).\nAnswer: n**4 + 220*n**2 + 12100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6 - (6 + 70\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 - 737*p**2 - 457*p - 18121. Determine u(185).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (154\/(-33))\/(2\/(-3)). What is the second derivative of -2 + 2 - 5*i + z*i**5 wrt i?\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*k*t + h*k - 119*h*t + 5*k*t - 3*t + 1 wrt h?\nAnswer: 2*k*t + k - 119*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x. Let j(c) be the first derivative of 1 + 0*c**3 + 1\/2*c**4 + x*c**2 - 2*c. Find the first derivative of j(a) wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-4 - 0) + 25 + -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/3 - (-500)\/(-144). Let i = 4\/9 - t. Which is the second smallest value? (a) 0 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268352?\nAnswer: 2, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 451887 or 451889?\nAnswer: 451889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*k - 5, 4*q + 4*k = 36. Let u(p) = 5*p - 12. Let i be u(q). Suppose 2*x + 6*x - i = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - -12) + (-103 + -5 - -1).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20115724*f**2 + 25877477 wrt f.\nAnswer: -40231448*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 1\/30*x**4 + 6*x**2 + 1\/75*x**5 + 0*x**3 + 0 + 0*x. Factor l(r).\nAnswer: 4*r*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 481 = 442 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(y + 3 - 3) - 6*y + 2*y + y in the form g*y + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*i = -39, -2*i = 5*h - i - 35. Let a be (9 - h)*17\/3. Let x be (0 - (-3)\/(-1)) + a. What is the highest common divisor of x and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-255)\/390 - 7\/(273\/(-6)). Which is the second biggest value? (a) -3 (b) 26\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(175)))**2 + (0 + sqrt(14)\/sqrt(2) + -5)**2.\nAnswer: 710*sqrt(7) + 6476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 37\/22?\nAnswer: 37\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 265, 296, 331, 370, 413, 460?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18104 and -33.2.\nAnswer: 601052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 453 - 453.0001128. What is s rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 3*b - 4*b. Let n(a) = 11*a**2 - 3*a**2 - 6*a**2. Give n(j(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = -16. Let x(h) = h + 1. Let r(s) = s. Let a(j) = 3*r(j) - 4*x(j). Let d(l) = 30*l + 1 + 35*l - 64*l. Calculate m*d(w) + a(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58842703.79 rounded to the nearest 100000?\nAnswer: -58800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -803854 (base 14) to base 5\nAnswer: -2100444331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133)*-1*2 + sqrt(133) + 3*sqrt(133)*1)\/(((sqrt(112) + (-1*sqrt(112) - sqrt(112)) - sqrt(7)) + sqrt(7))*1).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = -3*v + 22, -4*l = 3*v - 32. Suppose -2*x = -v*x + 8. Suppose -4 = -q - 5*s, -4*q + 12 = -q + x*s. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -7, -0.11.\nAnswer: -7, -0.4, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20494166 and 17374.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - 35*f - 35*f - 36*f to the form k + d*f and give d.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 111354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33096a (base 11) to base 13\nAnswer: 15658c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 592184903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 63 = 13*x - 11*x, 3*x + 5*k - 123 = 0. What is the greatest common divisor of x and 1836?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050394 is divided by 1896?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -211*a. Let u(j) = 12*j**2 + 4*j + 20. Let s(r) = -35*r**2 - 11*r - 55. Let c(m) = -4*s(m) - 11*u(m). Determine c(x(n)).\nAnswer: 356168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6452404 (base 7) to base 13\nAnswer: 2169c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 100236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**2 + i - 3 + 3 + (i + 2*i**2 - i)*(3 - 4 - 4).\nAnswer: -16*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -45. Let u(l) be the second derivative of -4*l + y*l**5 + 0*l**4 + 0 + 0*l**2 - 1\/15*l**6 - 1\/3*l**3. Find the second derivative of u(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45228 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18661*u**2 + 1642165*u + 264 = 0. What is u?\nAnswer: -3\/18661, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7)*(-4*x - x + 3*x).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z + 27. Let o be r(-11). Suppose -o*t - 8*t + 1300 = 0. Suppose 3*h = 4*g + 60, -5*h + 7*g = 4*g - t. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 7*r**2 + 9*r + 14. Calculate the remainder when a(7) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-9)*-4)\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*n, 3*p - p + 4*n - 10 = 0. Let l be (-48)\/18*p\/(-2). Solve 0 = 2*x - 3*x - l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 150, 273, 396, 525, 666, 825, 1008, 1221?\n\"Answer: t**3 - 6*t**2 + 134*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 88641364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (69 + 13 - 21).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1361934 - 15878990\nAnswer: -14517056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 3*f - f + 4*f - 3*f + 0*f + (0 - 5 + 2)*(-2*f - f + f) - 35 + 35 - 47*f.\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-30))**(-4\/11) assuming v is positive.\nAnswer: v**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 25 + 2 + 4 + -6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2943 + -76451\/26. Let k = -14\/13 + n. What is the third smallest value in 5, 4, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68499 is divided by 1568.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -278 - -283. Solve -6*r + r - b*x = 30, 0 = 4*x + 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -9. Let p be (8\/(-36))\/(3\/((-108)\/2)). Solve h*r - p = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9) + 3\/(-9). Suppose j = 7*u - 4*u + 6. What is the remainder when 1\/((-1)\/122*u) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -75, 1\/4?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2\/3 - 131695088*n\/3 + 87796720 = 0.\nAnswer: 2, 32923770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - -4. Suppose 55*c = 53*c - 3*b, 3*c + 5*b + 1 = 0. Let q(a) = a - 1. Let p be q(1). Solve 4*m - c*o = 32, p*o - 5*o = -m + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211382 smaller than 211384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 175.941\nAnswer: -35.1882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 > -3962729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7520 and 62040.\nAnswer: 248160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(5\/2)\/i)\/i)\/((i\/(i*i**(-13)))\/i)*i**(-11)\/((i**16*i)\/i) assuming i is positive.\nAnswer: i**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = 4*c, c = 3*g - c + 6. Suppose 2*a - 69 + 23 = g. Let h(j) = 18*j - 608. Let m be h(44). What is the greatest common factor of m and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128\/7, -61, -0.5, -1\/3, -2\/577.\nAnswer: -61, -0.5, -1\/3, -2\/577, 128\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*v + 23 - 20 = 0, 11*v = 93*n + 10*v - 461 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6 = -4*d - 6*o, 15 = 5*o. Suppose -3*q + 11 - 2 = d. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = b + 17, 26*c + b = 31*c + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) 3919 (c) -33 (d) -3 (e) 0.1 (f) 0.2 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72278*u**2 + 136270.\nAnswer: 144556*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 1334*j - 2660.\nAnswer: -2*(j - 665)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 4}. What is prob of picking 4 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, o: 11}. Give prob of picking 2 o.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c - 4*c + (-c - c + c)*(6 + 30 - 8) in the form y + s*c and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*n + 56 = 5*t, -4*t - n = -40. Suppose -8*r = -13*r + 55. Is t at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -i + 5*i - 9, 9 = -4*i - 3*u. Suppose 6*t - 204 = -i*t. Calculate the highest common factor of 119 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -95, -1\/5, -4, 0.4, -20\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 2*l**6\/15 + l**2 + 2*l. What is the derivative of r(s) wrt s?\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 3948.\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -3004, -10995, -26818, -53149, -92664, -148039, -221950?\nAnswer: -317073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-four fifths of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 503 - 503.2. Let d = -404\/2919 - -6\/139. Which is the nearest to q? (a) d (b) 2\/3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 999 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 381085 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 49288290966.\nAnswer: 49288290965.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/((-3 - 1)\/(-4)). Let z be (1702\/j)\/((-2)\/(-8)). Is ((0 - 7)\/7)\/((-1)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64b7 + 259c1?\nAnswer: 2c098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23458 divided by 2997.\nAnswer: 634\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99 + 743a3?\nAnswer: 74480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 645515874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36668 divided by -4\nAnswer: -9167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6668, -6644, -6602, -6536, -6440, -6308, -6134, -5912?\nAnswer: -5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(108) - (0 + sqrt(108) + 3)) + 1)*-6)**2 + 3.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -3)\/(1\/5). Let i(q) be the first derivative of 0*q**3 + 0*q**t + 1 + 0*q + 0*q**4 - 1\/3*q**6 - 1\/2*q**2. Find the second derivative of i(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9651*c + 9592*c = -59 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*t - 6*t - 3266 = -2*t. What is the greatest common factor of 1472 and t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(98)*3 + sqrt(98)) + (2*sqrt(1800) + sqrt(1800))**2*-1.\nAnswer: -16200 - 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**3 + 1\/18*p**4 + 0 + 0*p**2 - 1\/30*p**5 + p. Let z(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -14, 11, -31 in descending order.\nAnswer: 75, 11, -14, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2631732 by 27.\nAnswer: -877244\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(-7*w**2 + 0*w**2 - w**2)*(-4*w + 5*w + w).\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-f + 2 - 2) + 26*f + 0*f + 29*f.\nAnswer: 58*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u**2 - u - 6. Let s be q(-9). Let c be s\/12 - (-1)\/(-4). Solve 0 = -c*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 5*v - v)*(-5 - v + 5) + 0*v**2 + 4*v + v**2 - 4*v**2.\nAnswer: -2*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.58419 to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 10.4.\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -55*f**4 - 65*f**3 - 65*f**2 - 230. Let q(g) = -5*g**4 - 6*g**3 - 6*g**2 - 21. Let h(z) = -65*q(z) + 6*y(z). What is the derivative of h(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - -3*75\/(-136) and 17\/22?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 2.2. Put -4, i, 2\/11 in decreasing order.\nAnswer: 2\/11, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/5, -73970, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/6*p**3 + 5\/6*p**4 - 1\/2*p**2 - 1\/3 + 7\/6*p.\nAnswer: (p - 1)**2*(p + 1)*(5*p - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36289*p + 13175*p + 28399*p + 142281*p.\nAnswer: 220144*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/3 + m + 33. Let n(c) = 2 - 2 - 3 + 4. Calculate -3*h(u) + 3*n(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 4:47 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 2*(-1)\/(0 + (-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27 - 0.1. Let z = v - 0.57. Which is the closest to -1\/2? (a) z (b) 0.2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7502, -7499, -7494, -7487, -7478, -7467?\n\"Answer: j**2 - 7503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10949 + 37391. Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*m + 338*m - 356*m + 1001*m + 603*m + 728*m.\nAnswer: 2014*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/43? (a) 1\/11 (b) -3 (c) -675 (d) -3\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 10. Let k(m) = -3*m - 5*m**z + 2*m - 2*m**3 + 2*m**2. Determine k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.367 + -8.067. Let n = 10 + -14. Which is the smallest value? (a) -4\/7 (b) 0.5 (c) l (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1236826 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 1. Let v(r) = -10*r**2 - 4. Let a = -1209 - -1210. Determine a*v(t) - 4*k(t).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 6*c + 0*c**2 + 3*c**2 + 12. Suppose -66*p = 67*p - 665. What is the tens digit of j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -2 - 16)\/(-1). Suppose -3*n - 2*n + 2*f = -w, -2*f - 16 = -4*n. Solve -3*b + 0*j = -j - 2, -n = -b - 2*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n**2 - 41*n - 102. Is f(18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 4. Suppose 0 = i*f + 2*f - 52. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*p*x + 325*g*x**4 - 11886*p*x**5 + 501*p*x - 2*p + x - 4 wrt x.\nAnswer: 3900*g*x**2 - 237720*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.02611 to 1 dp.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 - ((-12)\/14)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 48. Let b = a - 17. Is 105\/2 + (-2)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p - 450. Let v be d(-30). Calculate the highest common divisor of 315 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*o - 15 = 150*o. Let b be (-4)\/o + 9\/((-135)\/(-10)). Put -4, b, -2, 4 in decreasing order.\nAnswer: 4, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -183826, -367659, -551490, -735319?\n\"Answer: z**2 - 183836*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Let u = -2.1 + 2.2. What is the nearest to u in 2, o, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 5\/2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3242.006 + 3249. Let u = z - -0.006. Which is the second biggest value? (a) 0.1 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4169 + 8353\/2. Let m(c) be the first derivative of 1\/3*c**3 + 12 + 0*c - t*c**2. Find the second derivative of m(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -79, -33, 17, 71?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76191\/4 - 18657. Let l = 391 - v. What is the closest to -0.1 in 2, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 21*j + 2 = -22*j, -5*j + 23 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - f)*(0 - 2 + 1) - 5*f + 2*f - f - 3*f + 3*f + 4*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 36*r**2 - 52*r. Is 75 a factor of i(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -81*y + 8696. Determine r(108).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -80.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -3\/8486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 126. Let h be v(-25). Let p = -1.7 - -1.59. Let z = 4.89 - p. Which is the third smallest value? (a) z (b) h (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 649 - -1368. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119305 greater than -0.3149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8040\/412720)\/(3\/56)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.024 - 52.976. Let i = x + 53.4. Is i bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o - 175. Let j be c(-18). Let h(u) = -u**2 - 17*u + 116. Let p be h(j). Solve -8 = -g - p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-2 + 12 - 20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264 (base 9) in base 10?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*g - 18. Let v = g - -5. Is -4 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34536.\nAnswer: 2, 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 - -1647.\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - 126 + 126)*(-w**4 - w**4 + 4*w**4 + (w - 4*w + w)*(2*w**3 - 5*w**3 + 5*w**3) + (-8 - 5*w + 8)*(2*w - w**3 - 2*w)).\nAnswer: -33*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -391 and 24643037553.\nAnswer: 24643037162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 31*g. Let b(o) = -19*o. Calculate b(w(d)).\nAnswer: -38*d**2 + 589*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2865.9795ns?\nAnswer: 0.000000047766325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*x = 30, 3*u - 4*x = 22 + 12. Suppose 4*l - 18 = -3*b, -5*b = 4*l + 5 - 27. Solve u*w + 20 = b*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17. What is the closest to -0.3 in i, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 4) to base 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(475) + 0 - sqrt(475)) + -4)**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339096177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 153080 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220300243 (base 5) in base 8?\nAnswer: 3471404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 734844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620378 (base 14) in base 15?\nAnswer: 454180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 299, 2478, 8401, 19940, 38967, 67354, 106973?\n\"Answer: 312*d**3 - 5*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**2 + 253*o - 3125. Let q(c) = 18*c**2 + 507*c - 6250. Let n(v) = -3*q(v) + 7*w(v). Determine g, given that n(g) = 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**4 + 2*m**2 - m + 1. Let s(j) = 47*j**4 - 8*j**2 + 3*j - 9. Let z(c) = -2*s(c) - 6*x(c). What is the third derivative of z(l) wrt l?\nAnswer: -2112*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6040810 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66468 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sws when three letters picked without replacement from swwsswsswwssww?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3\/2))\/(h\/(h*h*(h*h\/h**(-3\/7))\/h))*(h**(2\/7))**(2\/11) assuming h is positive.\nAnswer: h**(767\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (58 - 0)*((-512633)\/(-58))\/11. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/24 - ((-287707)\/21 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r - 33*r = 1072920. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 7*j + 10. Let u be l(-5). Let m(d) be the second derivative of u*d**3 + 0 + 2*d + 0*d**2 + 1\/6*d**4. Let r(t) = 2*t. Calculate m(r(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = -k - 11*v - 31, -2*k + v + 16 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 45 = 19. Let w be (-5 + 2)\/(o\/(-4)). What is the closest to 2\/3 in 1\/4, w, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 102 = -7*s, -11*u - 3*s = -18*u + 4*u - 48 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/360 + q**5\/40 + q**4\/2 + 12*q**2. Let w(r) be the second derivative of c(r). Give w(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10\/3 + -23\/6. Let o = 1.0488 - 0.1018. Let c = 0.053 + o. What is the fourth smallest value in c, a, -0.1, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/980 and (18\/1344*8)\/((-720)\/1048).\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12933673853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2a27b9 (base 13) to base 16\nAnswer: fc6c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from {h: 1, q: 1, n: 2, y: 2, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1373184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -16. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:54 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = 2*v + v. Suppose v = -3*x - 47 + 11. Let l(f) = -f**3 + 4*f**2 - 2*f. Let o be l(3). Sort -2\/5, x, o.\nAnswer: x, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5639 is divided by 1090?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77b (base 16) to base 2.\nAnswer: -11101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-14)\/84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 96 = -47 - 43. Solve 3 + 2 = 5*i - 4*r, -30 = -b*i - 4*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 + (-140995 - 7). What is n rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 755*m + 7646. Determine g(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3790 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (5\/1 + -2). Suppose -2*k = 219 - 225. Solve o*f = f + k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7*k - 20. Is 2 a factor of 10\/k*16\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457.2 - -457. What is the second smallest value in -1, -5, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.885 - 0.885. What is the biggest value in 5, 32.8, j?\nAnswer: 32.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33683, -33681, -33679, -33677, -33675?\n\"Answer: 2*x - 33685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Let j = m - 0. Solve j*g + p = -p, -2*p - 5 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvpvppvvv. What is prob of sequence ppvv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 o, and 1 x when three letters picked without replacement from {x: 1, b: 2, a: 1, o: 7, u: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 51 = y - 2*y, -4*y = -n + 27. Let u(z) = z**2 - 11*z + 20. Let q be u(10). Let i be 53\/1 - (-20)\/q. What is the highest common divisor of n and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwjjjjjjxkkszj. What is prob of sequence jsw?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -210. Let k = -82 + v. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -21*t + 70*t - 6 + 2. Let j be (-3 + -2)*9\/(-15). Is s(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3*o**2\/2 + 3*o - 6. Let i be q(-3). Solve -4*v - 3*b - i = b, -5*v - 15 = 4*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 + 1073\/9. Let q = -0.69 + 0.59. Which is the third biggest value? (a) l (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87131315 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3 = -0*p + 4*p, 0 = a + 2*p + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*t**3 + t + 2*t - 4 + 0*t to w*t**3 + o*t + d*t**2 + c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 11222?\nAnswer: -11213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-4)\/24*-8. Let r(v) = -v**2 - 18*v + 2. Let g be r(-18). Solve d**g + 1\/3*d**3 - 1\/3 - 2\/3*d**4 - i*d = 0 for d.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 9*d - 8. Suppose -3*r + 14 = 2*m + 6, -4*m - 3*r + 22 = 0. Let q be c(m). Let z = -16 - q. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004665533735 rounded to five decimal places?\nAnswer: -0.00467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/1741, 316, -2, 3, -1?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-255))\/2)\/(33\/(-1980)*-6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/14 and -127\/180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 3, -1\/1565.\nAnswer: -126, -1\/1565, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - 6*sqrt(104)*-3) + sqrt(104))\/((-1*sqrt(16))\/sqrt(2)).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 745, 1112, 1477, 1840, 2201, 2560?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19447, 19450, 19455, 19462?\nAnswer: 19471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {f: 5, u: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -605, -2417, -5437, -9665, -15101, -21745, -29597?\n\"Answer: -604*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 18 = -4*h, 0*p + 20 = -2*p + 5*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 5.\nAnswer: -8, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8278 = 13*i - 8200 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 17 = 79. Calculate the lowest common multiple of s and (-273)\/(-78) + ((-15)\/10 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116\/15 - 1927\/255. Let x = 11\/34 + k. What is the second biggest value in -5, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739 = 3*a - 485. Does 48 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969431?\nAnswer: 969431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 7*u**2 + 6*u - 3. Let z be i(-5). Suppose 5*o - 17 = -z. Suppose 4*p = o, n - p - 21 = -0*n. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 + s**3\/6 + s**2\/2 + s. Calculate q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6. Let s = 8 + -4. Let m = s - t. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 79, 3 in decreasing order.\nAnswer: 79, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-3) - (-1)\/(-3). Suppose 9 = 4*p - x. Suppose 3*s = 3*g - 4*g - 5, -g - s = -p. What is the smallest common multiple of g and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*j - 290, 3*m + 2*j - 23 - 153 = 0. Suppose 4*r + m = -2*r. Is (30544\/r)\/(-4) - 24\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 1, -1, -4, 5 in decreasing order.\nAnswer: 32, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 2 + 3 + (4 - 7). Factor 0 + j*q**2 - 2\/5*q**4 + 0*q**3 + 0*q.\nAnswer: -2*q**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4243301789 to 2 dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 80 - 280. Calculate the highest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -398662 + -1219?\nAnswer: -399881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 44*t - 43. Let s be x(1). Which is the nearest to -16? (a) -2\/7 (b) 5 (c) s (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.36892 months in millennia?\nAnswer: 0.00319741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 4.1. Let p(o) = -o + 21. Let h be p(19). Let i be (3*(-4)\/56)\/(h\/(-7)). Which is the third smallest value? (a) i (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -4, 360, -2\/11 in ascending order.\nAnswer: -4, -2\/11, 1\/2, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 14 = -2*q, -5*q = 3*x - 4*x - 8. Let s(h) = 140*h - 19 - 157*h - 13 - 25*h**q + h**3. What are the prime factors of s(26)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhc. Give prob of sequence hc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039308t in nanograms?\nAnswer: 39308000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + c**2 - c + 54. Let z be p(0). Is 12 a factor of z*(-4 - 42\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1460*f + 420490. Let i be w(-288). Suppose -i*q**2 - 4000\/3 + 200*q + 1\/6*q**3 = 0. What is q?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -452.3729.\nAnswer: -6333.2206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9555364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Suppose 5*v + 6 = -a*z, -2*v - 13 = 5*z + 3. Solve 2*w = -3*n - v*w - 13, 11 = -5*n - 4*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f + 77. Let w be h(-11). Calculate the common denominator of (7 + 1)*132\/w and -81\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 6)*(-45 + 12 + 19)*(-3185 - 4*j**2 + 3185) in the form b + t*j + l*j**2 and give l.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -161*z + 157*z. Solve -3*g - 4 = -i + 4, -z*g + 5*i = 29 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981680 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*a = -29 - 11, -2*i + 2*a = 20. Let n = 69 + i. Let g be (16\/3)\/(4\/18). Calculate the greatest common divisor of n and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2226483 and 2226486 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Let w(t) = -1 - j + 4 - 2*t**2. Let v(f) = -13*f**2 + 112 - 112. Determine w(v(i)).\nAnswer: -338*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -429, -445, -459, -471?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -5*s + 4*t - 11, 4*s + 7 = -3*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2881329*j + 2881882*j - 66913 for j.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/51993 or 0?\nAnswer: -92\/51993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/11)\/(y**(-10)*y)*(y\/(y\/(y**(-14)*y)))\/(y*y\/(y**(-2\/21)\/y*y)) assuming y is positive.\nAnswer: y**(-1429\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 22. Let b be (o - 0)*(-3 - -4). What is the highest common factor of b and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1264 - 1252. Let w = 53 + 43. What is the greatest common divisor of w and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7875*m. Let h(w) = -274*w**2 + 4. Give h(u(s)).\nAnswer: -16992281250*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/400 + -1 + (-4)\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 573*j**2 + 17*j - 1. Let d(c) = 143*c**2 + 4*c. Calculate -9*d(w) + 2*h(w).\nAnswer: -141*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 735 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + 4 + (-5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 0*w**5 + 2*w**5 + (-7*w**4 + 0*w**4 - w**4)*(4*w + 0*w - 2*w).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*m + 19*m**2 - 172*m - 164*m + 483*m.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4, -2 = 4*z - i - 2*i. Let g(y) = z + 9*y - 4*y - 1. Let w(f) = f**2. Give g(w(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3\/1979, 78 in descending order.\nAnswer: 78, 3\/1979, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 20*x**2 + 1746*x + 23301. Give r(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 19*d**6\/360 + 5*d**4\/6 - 3*d**3\/2 + 13*d**2. Let g(f) be the first derivative of h(f). Differentiate g(m) with respect to m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 20 + 28. Let r = k - -2. Let f be (240\/(-18))\/((-4)\/r). What is the greatest common factor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-25))\/((-3)\/15) + (2208 - 2155).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2568456 divided by -10152\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 8:57 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 2*r - 2. Let n be k(4). Let m be (-14)\/(-7)*n\/4. Solve 2*s**m + 6 - 2*s**3 - 3*s**3 + 9*s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*v - 124. Suppose -5*f = -6*f + 10. What is the units digit of f\/4*(-256)\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i - 3*i)*(-2*i**2 + 2*i**2 + 2*i**3) - 4*i**4 + 2*i**4 + 3*i**4 + (-i**2 + 5*i**2 - 1 - i**2)*(2*i**2 - i**2 - 3*i**2).\nAnswer: -9*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 24*y - 103. What is o(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168841979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-25) + 40\/50. Sort w, -49, -4, 4 in increasing order.\nAnswer: -49, -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 3548*s**2 + 74802*s.\nAnswer: -2*s*(s - 21)*(s + 5343)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z + 27. Let d be t(5). Let h = -470\/7 + d. Let y = 3\/28 - h. Which is the third biggest value? (a) 0.2 (b) 3\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189345129.6 to the nearest 10000.\nAnswer: 189350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6941 divided by 88.\nAnswer: 631\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79847540 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 + 4*m**2 + 5*m + 3. Let j(g) be the second derivative of 3*g**5\/20 + 2*g**4\/3 + 3*g**3\/2 + 5*g**2\/2 + 69*g. Calculate -5*f(a) + 3*j(a).\nAnswer: -a**3 + 4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44594.7 + -281.\nAnswer: 44313.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -2\/23, 11.633 in decreasing order.\nAnswer: 11.633, 3, 2, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21113 + -14654. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - y + 1. Let a(f) = -7*f**2 - 6*f + 1. Let g(z) = 3*a(z) - 10*t(z). Let b be (-6 + 3)*(-14)\/(-6). Determine g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -103. Solve b*m**2 - 105*m + 50*m - 6 + 51*m = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 + 25584\/(-4320). Let s = i + 178\/15. Let n = -27\/28 - -1105\/28. Calculate the common denominator of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = -3*h + 81, 4*h = -5*k + 144. Calculate the remainder when 52 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24 - 0)*(-1)\/(7 + -4). Suppose 3*b + s = 2*f + 1, 0 = -2*f - 2*b + 12. Let o(r) = -r + 8. Let u be o(6). Solve 5*h + 0*h = 5*x, u*x + f*h = 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277 - -387. Calculate the highest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-4))\/((-1)\/2). Suppose 27 - 1 = m*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139504 is divided by 545.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128219 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110110011 + -11010?\nAnswer: -10100111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-637)\/3087 - ((-11)\/(-9) - 1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 101 - -30?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5919 by 121.\nAnswer: -5919\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3323 (base 4) in base 10?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lajsjasxaa. What is prob of picking 1 x and 1 j?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 7*u**2 + 26*u - 6. Let i(b) = 4*b**3 + 6*b**2 + 21*b - 5. Determine -4*d(c) + 5*i(c).\nAnswer: 4*c**3 + 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -39. Let q = 45 + u. Let v = 37966 + -37963. Solve 3*j = v*s + 2 + q, -4*s = -3*j + 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1 + 2645*y + 1 + 2643*y - 5215*y. Determine k(-1).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 703 = -3*t, 4*t + 928 = 3*k - k. Let s = -8 - t. Is 51 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 18. Find the second derivative of -7*m**5 + 0*m + p*m - 4*m wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1968 and 55\/399.\nAnswer: 261744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1846328958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 3416694*g**2 + 13666740*g + 13666728.\nAnswer: 3*(g + 2)**2*(g + 1138894)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-3)\/(-1) - 2). Factor 7*j**3 + 4802 - 4*j**3 + a*j**4 + 53*j**3 + 2744*j + 588*j**2.\nAnswer: 2*(j + 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111221222 (base 3) to base 13.\nAnswer: 25682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110075 equal to 10024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -118*z - 120. Let y(j) = j**2 + 470*j + 478. Let s(a) = -9*f(a) - 2*y(a). Factor s(h).\nAnswer: -2*(h - 62)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 5. What is the smallest common multiple of 10 and t(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43\/87 (b) 12 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-6\/7)*r**(2\/3)*r*r*(r*r\/r**17*r)\/(r*((r\/r**(-6\/13)*r)\/r*r)\/r*r) assuming r is positive.\nAnswer: r**(-4000\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 741843 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86107796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -492, -498, -518, -558, -624?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34486 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-177)\/(-2) + (-33)\/22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8 - -1) + (-21 - -30))\/(7*2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -55493795 and 0.5?\nAnswer: 55493795.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -5. Let q(r) = r**2 + 11*r + 24. Let p be q(-3). Solve n + n + u = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12135796 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000122101012211 - -10?\nAnswer: 21000122101012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50\/7 or 0?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + d?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*h + 60*h + 49*h + 57*h + 48*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 0 + 0)*(g + 0*g - 2*g)*(1328*g - 693*g - 2392 - 633*g) + 0*g**2 + 2*g**3 + 0*g**2 to the form x*g**3 + l + d*g**2 + i*g and give d.\nAnswer: -4784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10197301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 9*c**2 - 6*c - 10. Is v(10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2785\/(-35) - 9\/21. Let b be (-204)\/5*p\/24. Suppose -c - 4*m + b = 3*c, 3*c - 122 = 2*m. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 18 - l**3 + 12 - 35 + 8*l - 8*l**2. Let w be p(-9). What is the nearest to -0.4 in w, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1278211 or -1278205?\nAnswer: -1278211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -10*n**3 - 12*n**2 - 5*n - 13. Let q(f) = -7*f**3 - 8*f**2 - 3*f - 9. Let k(a) = -7*q(a) + 5*s(a). Let j be k(-3). Is j bigger than 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 7*r**6\/300 + 3*r**5\/50 - r**4\/5 - 4*r**3\/15 + 72*r**2 - 135. Let q(n) be the second derivative of o(n). Solve q(h) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**2 - i - 1. Let j(a) = 1307*a**2 + 4*a + 4. Determine -3*j(d) - 12*l(d).\nAnswer: -3849*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18.66833 times -0.04\nAnswer: 0.7467332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + -1 + (-4 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 905914 and 2779505.\nAnswer: 3685419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502585 + 502632 - 1005234 - 2*k**2.\nAnswer: -2*k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1887629100 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/100 + 3*l**4\/40 - l**3\/5 + 42*l**2. Find i such that p(i) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4912205*t - 3501974 wrt t.\nAnswer: 4912205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 29 = -b, -b - k - k - 19 = 0. Let d(n) = -3*n + 62. Is 2 a factor of d(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10497 - 10497. Sort 1\/20, z, 5 in descending order.\nAnswer: 5, 1\/20, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189755904.\nAnswer: 2, 3, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3469777?\nAnswer: 3469777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**10)**(-3\/7))**(10\/9) assuming v is positive.\nAnswer: v**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*y**4 + 32 + y**4 - 29 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103764 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/23 - 76*r**2\/23 + 758*r\/23 - 684\/23 = 0?\nAnswer: 1, 18, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4895, -4976, -5055, -5132, -5207, -5280, -5351?\n\"Answer: l**2 - 84*l - 4812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4175715 and 165.\nAnswer: 45932865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*c + 16, -5*x - 5 = -2*c - 2. Let w be 110\/33 + (-2)\/6 + 0. Let m = -0.009 + -0.291. What is the nearest to 0 in w, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - (-2 + -6 + 12)) + -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 11*p**2 - p**2)*(24*p + 6*p + 4*p).\nAnswer: 238*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*4*-2*sqrt(2736) + (4*-1*2*sqrt(57)\/sqrt(3)*-3)**2.\nAnswer: 192*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/(y**(-3)\/y))\/((y\/y**(-2\/11))\/((y\/(y\/((y\/y**(-1\/2))\/y*y)))\/y)) assuming y is positive.\nAnswer: y**(-59\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(84) - (sqrt(84) + -3*sqrt(84) + sqrt(84))*6)\/sqrt(12).\nAnswer: -4 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 5:09 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s = 19353 + 1737. List the prime factors of s.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113)\/1 - 1711704\/(-7816)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = r - 5*y, -2*r + 3*y - 1 = -0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/627*(-979)\/(-1068).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1230468*r. Let t(q) = 2*q**2. Calculate t(m(p)).\nAnswer: 3028102998048*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Let k(u) = u**3 - 5*u**2 + 2*u + 5. Let j be k(s). Let x be (-74)\/j + 4\/12. Solve -x = 5*n, -3*l - 3*n - 15 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-50) + 24\/5. Suppose 0 = -v + b - 3. What is the greatest common factor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160533\/4232 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -4\/4405, -66?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 + (-70)\/45. Let u be (-6 - 0)*(-2)\/28. Sort t, u, -8.\nAnswer: -8, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - 2*h - 1. Let c be k(2). Suppose -5*g = -c*g + 168. Calculate the greatest common divisor of 84 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1\/5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(-x**4 + x**4 - 2*x**4) + (0*x**3 + 0*x**3 - x**3)*(x + 2*x - 4*x) + 10*x**4 + 5*x**4 - 3*x**4.\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000311698442 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**6 + 2184781*h**5*u + h**2*u + 16449781*h*u wrt h.\nAnswer: 360*h**3 + 131086860*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322113003 (base 4) to base 7.\nAnswer: 2013630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000178269763 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1821 + -1254. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 61. What is the second smallest value in z, 0, 0.5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -370*a + 366*a. Calculate the greatest common factor of 2816 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086796 is divided by 888.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from ymmdmydmrmryr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-21))\/(4\/(-12)). Let l be s\/(5 - (-112)\/(-24)). Let j(r) = 6*r**2 + 6*r. Let n(o) = 5*o**2 + 6*o. Let b(c) = -4*j(c) + 5*n(c). What is b(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 74\/14)\/((-2)\/(-14)). Suppose -i*o - 15 = -33*o. What is the second derivative of -4*a**o - 7*a**5 + 8*a**5 - 17*a - 2*a**5 wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24571504*j - 700*j**2 - 24571504*j.\nAnswer: -700*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646 - 25 + 48*i - 20 - 584.\nAnswer: 48*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2469.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -5*x + 389. Solve -6*r = -r + 5*v, 4 = -5*r - x*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0273 + -26.7727. Let h = s + 45.8. Sort h, -2, 0 in ascending order.\nAnswer: -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26701, -26706, -26725, -26764, -26829, -26926?\n\"Answer: -d**3 - d**2 + 5*d - 26704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/5 + 4*y**3\/5 - 23*y**2\/5 - 54*y\/5 + 72\/5 = 0.\nAnswer: -6, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -269, -418, -587, -782, -1009, -1274, -1583?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**7\/280 + 81*g**6\/160 - 249*g**5\/80 + 251*g**4\/32 - 21*g**3\/2 - g**2 + 861. Solve u(a) = 0 for a.\nAnswer: -84, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3707828543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4298 divided by -2\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -655849 divided by 1?\nAnswer: -655849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1692*h + 828*h - 583*h - 1188 - 120843 = 0 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 4:31 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/64068 and 163\/1404?\nAnswer: 7495956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 167*c + 3350. What is v(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -83, -201, -371, -593?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1 (c) 5\/128 (d) -24 (e) 11 (f) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91853031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17)\/b*b*b*b)**(-1\/7)*(b\/b**(-2))\/b**(-20) assuming b is positive.\nAnswer: b**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*l - 42, -115*n + 2*l = -111*n - 56 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116 or 1274\/11?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 37*h = 51. Which is the biggest value? (a) 4 (b) h (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152828 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {n: 4, u: 1, i: 2, p: 2, d: 2, a: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2)\/4*4. Let w = 71 + -68. What is the remainder when y\/(60\/(-33) + 2) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 2*m**2 + m**3 + (7*m - 7*m**2 - 6*m + 5*m**2)*(-2*m + 0*m + 5*m).\nAnswer: -5*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.2 (c) -5 (d) -3\/4 (e) 0.021\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(1700) + 5 + (sqrt(1700) - (sqrt(1700)*2*-2)**2).\nAnswer: -27199 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, z: 2}. Give prob of sequence jz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8.2. Let m(q) = 4*q**3 + q**2 + 44*q - 44. Let j be m(1). Which is the smallest value? (a) -0.6 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139 - -50. Let w = 91 + a. Solve 9 = x + w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4429265 divided by 2?\nAnswer: 4429265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 - 10332?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 164105.5 days?\nAnswer: 14178715200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-8\/7)*k*k)\/k**(-3\/2)*(k**0)**(9\/8) assuming k is positive.\nAnswer: k**(47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 4, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/33, -3, 5, 1\/5, 6\/121, 0.5, -3\/2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 16.33\nAnswer: -6.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 18 + 10 = 0. Find q, given that 4 - 4 - 8*q**s + 7*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*z - 79 = 0, -5*z + 6*z - 217 = -3*k. What is the remainder when 352 is divided by k?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-84)\/(-18) - 5 - (-440)\/15. Suppose -s*v + 201 + 2 = 0. What is the remainder when 524 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -58. What are the prime factors of (-1)\/((b\/9)\/(178\/(-6)))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 967 (base 16) to base 15\nAnswer: aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 239. Suppose -v + g = -2*o - 3*o, -80 = 2*o - v. Let z = o - -78. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 2916252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10658*w**2 + 1. Let s(d) = -d**2. Calculate l(s(x)).\nAnswer: -10658*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 17120 and 17120 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4193\/22762*(72\/(-21))\/(-4).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + ((sqrt(175) + 2)*-5 - 3*(sqrt(175)*1 - sqrt(175))))**2*5.\nAnswer: 2750*sqrt(7) + 22480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = 3*s + 5, -2*s = -5*d + 27. Suppose d*o = o - 128. Let z be o\/(-6) - (-2)\/3. Solve -q = -z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206\/103*(10\/(-35) - 4\/(-56))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2384 + 6664. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 21*l + 21*l - l**2 + 24.\nAnswer: -l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -33. Let z = 20 + y. Suppose -z*u + 7*u = 4. Solve -f + 0*f = u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*b = -157183, -2*g + 449*b - 452*b = -62860. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13324 is divided by 3248?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 + 72\/(-45). Let b be 2\/(-4) + 185\/p. Let i = b + 179. What is the remainder when i is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1752)\/9)\/((-9)\/((-81)\/(-2))). Is (36\/48)\/(9\/y) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1327067051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2423912 and 127\/7271736?\nAnswer: 7271736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*s + 6 = 10 - 4. Solve s = -4*a + 2258 - 2242 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027008 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*15*(-25)\/250\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 2*b - 2*b)*(28 - 28 + 19*b) in the form u*b**2 + o*b + k and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 4, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from eiieeeee.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 81\/13 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 f, and 1 p when four letters picked without replacement from pwfuwufjfjfw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4 + 42. Let u = a - -33. Calculate the remainder when -11*(-4 + 1) + -8 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-2) - (45 + -52) - 2\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u - 1. Let o(z) = -2*z**2 + z - 1. Let h(d) = o(d) - x(d). Let s(j) be the second derivative of -j**3\/6 + j. Determine h(s(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223 + 2?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*30\/35.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-645)\/(-12) - -5)*(-6)\/(-135) and 17\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from skpusswwwu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1. Let h(q) = 2*q + 5. Suppose -j - 2 = -4*w + 2*w, -4*j = w + 8. Let n(t) = j*h(t) - 10*k(t). Let v(s) = 21*s. Determine n(v(d)).\nAnswer: -84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -20. What is the closest to -0.1 in -2\/7, 5\/4, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1275960 to the nearest 10000.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 21*a**2 - 2*a - 42. Let m be s(-21). Suppose m = 188*j - 183*j - 25. Solve 0*o + j*d = 2*o + 3, -3*o + 5 = 2*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-26))*p**(-11)*p)\/((p\/(p*p**(-17)))\/p**1) assuming p is positive.\nAnswer: p**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 454\/7 - 65. What is the common denominator of d and 3\/18*10*66\/26?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*z**5 - 24*z**5 - 29*z**5 + 2*z - 2*z + z**5 + (2*z**4 - z**2 + z**2)*(2*z + 0*z + 0*z) + z**2 + 3*z**5 - z**2.\nAnswer: -72*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424949 = -22713*x - 84978 + 250567 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 229*j + 4608. Calculate k(-129).\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-12))\/(1\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*p**4 - 651*p**3 - 25*p + 180959?\nAnswer: 16*p**3 - 1953*p**2 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*i**3 + 50*i**3 - 14*i**3 - 121*i**3 + (-2 + 3 - 3)*(-3*i**3 + 0*i**3 + 6*i**3).\nAnswer: -188*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 10*f**2 - 12*f + 3. Let k be q(-9). Let b be (4\/10)\/(1\/k). Suppose 0*n - 2*n = -b. Calculate the remainder when 11 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*x**6 - 204*x**2 + 514*x**2 - 181*x**2 - 6*x**5 wrt x?\nAnswer: 960*x**3 - 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*s**2*t**2 - 10*s**2*t - 3*s**2 - 3286*s*t**2 - 8*s wrt s.\nAnswer: 394*t**2 - 20*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2\/9*v**3 - 1\/6*v**4 + 0*v**2 + 1\/9*v**6 - 3 + 2\/15*v**5 + 0*v. Determine d, given that i(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*d - 12 + 4, 3*d = 3*z - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3703, -3618, -3389, -2938, -2187, -1058, 527, 2646?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (sqrt(833) - (sqrt(833) - (sqrt(833) + -3))*-2)**2 + -2).\nAnswer: 336*sqrt(17) + 3452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13146, 52557, 118242, 210201, 328434?\nAnswer: 472941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 1475660.\nAnswer: 1475660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 - (13 - (-124 + 88)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23280, -92977, -209152, -371817, -580984, -836665, -1138872?\nAnswer: -1487617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9491*j**2*z**3 + 11*j**2*z**2 + j**2 + 1014*z - 3 wrt z?\nAnswer: 56946*j**2*z + 22*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*1\/6)\/(-15 + (-11858)\/(-792)). Let i(w) be the third derivative of 0 + 0*w - u*w**2 + 0*w**3 + 1\/12*w**4. Let p(f) = 6*f**2. Determine p(i(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*i + 339 = 0, 4*i + 302 = 3*z - 189. Let a = z - 97. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987 = 4528*k - 9068*k + 4493*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (18 + -14 + -52) - (11 - 4) - -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 19. Which is the nearest to 0? (a) 0 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) 3 (c) -4\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-3) - (125\/(-15) - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, l: 1, c: 1, p: 1}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 9 + 9)*((2 - 3 - 4)*(-3 + 2*a + 3) - 3*a + a + 3*a + (-4*a + 4*a + 2*a)*(-1 + 2 - 3)).\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 15*d + 36 = 0. Let v = -7 + d. Factor -5*x + 35*x + 2*x**2 + 3*x**v.\nAnswer: 5*x*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29914 - 897571\/30. Calculate the common denominator of -157\/30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*k + 4, 5*k + 2*l - 6 = 6. Suppose k*a - 4 = -2*a. Let d(z) = 13*z**3 - 2*z**2 + z. Determine d(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 41858.67us?\nAnswer: 0.0006976445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 7*t - 6. Let k be q(5). Let x(h) = h + 7. Let n be x(-5). Suppose n*l + 3*u - 114 = 0, -k*l - l - 2*u = -285. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**2*x**4 - r**2 + 24*r*x**4 + 58*r + 417*x**4 - 5*x**2 - 5 wrt x.\nAnswer: -96*r**2*x + 576*r*x + 10008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1155*s**2 - 1229 + 1229 + 595*s**2)*(s - 6*s + 3*s).\nAnswer: 1120*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2568 + 1.91971.\nAnswer: -2566.08029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (69 + -112 + 71)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/9)\/(u**(-2\/3)\/u)*u**(-1\/4)\/u**(-3)*(u*(u*u**4)\/u*u\/(u\/(u\/u**(-4\/9))))**(1\/11) assuming u is positive.\nAnswer: u**(2069\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + 3\/4. Let x be 3 + 5\/((-15)\/9). Is x smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30257111 to the power of 1\/2, to the nearest integer?\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(9360\/(-3442)) - -1. Let x = u + 10\/117. Calculate the common denominator of -83\/22 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5162, 5167, 5186, 5225, 5290, 5387, 5522, 5701?\nAnswer: 5930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Solve z + w = k, -z - 2*z - 5*w + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -8 (b) 9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*v = 84, 2*p + 4*v = -0*v - 24. Let n = -5 - p. Let w = n + -7. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 12:01 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Let p be (6 - 2) + q - 0. Solve 2*i - p + 16 = -3*j, 0 = 2*j + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -1, 5, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 3. Calculate the remainder when (-1)\/3*f*-15 is divided by (0 - 2 - -3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3613*l**3 + l + 3. Let n(h) = -3613*h**3 + 2*h + 3. Let r(q) = 4*n(q) - 3*u(q). Is r(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, -9, 11, 7, 4, -4 in descending order.\nAnswer: 20, 11, 7, 4, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + -0.11. Let x = v - 0.0524. What is x rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62594 = 2*b - 2*a, 87*b - 90*b + 2*a + 93897 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-3)*(-42)\/(-28). Let u = m + -8. Find the second derivative of 2*t**u - 7*t - 2*t**2 + 66*t**3 - 59*t**3 wrt t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a5 (base 15) to base 3.\nAnswer: -102000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 0 + 3 - 3 - 2 + (1 - 1 - 1)*(5 - 1 - 3) - 6 - 1 + 2)*(4*v - 13*v + 0*v).\nAnswer: 144*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13131231031 (base 4) in base 15?\nAnswer: -289b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 (base 7) in base 8?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4866444*o*y**6 + 28*o*y**3 + 6*o*y**2 - 24*o*y + 4*o - 34340*y**2 wrt y?\nAnswer: -583973280*o*y**3 + 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 17*r**3 - 617*r**2 - 32*r - 32. Let u(n) = 14*n**3 - 494*n**2 - 26*n - 26. Let g(f) = -13*h(f) + 16*u(f). Solve g(a) = 0 for a.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 275\/7 - 42. What is the common denominator of r and -29\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30254667, -30254672, -30254677, -30254682, -30254687, -30254692?\n\"Answer: -5*k - 30254662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 631?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2004 = -1479*r - 30105 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweeeewwwewleweww. What is prob of picking 3 e?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35\/47 (b) 70 (c) 0.5 (d) 0.06 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*o + 3*g + 3, -4 = -4*o + 4*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208) + ((sqrt(208) + -1*sqrt(208) - sqrt(208)) + sqrt(208))*1)) + sqrt(208)*-2*5)**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 16635 + 10925 = 0. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 19, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/15 + -7\/60. Let g = 25574 + -25577. Which is the second smallest value? (a) 3\/8 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = 22, 3*g + 4*j = -5. Let n(x) = -x**2 - 2*x - 4. Let r be n(-4). Let f be 32\/3*r\/(-8). Solve -w + t + f = -g*w, -w + 17 = -5*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-45))\/(-10*6\/(-400))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 7*p**2 - p - 1. Give f(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 18 + 10, 0 = 4*w - u - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**3 - z**2 + 2*z - 21. Let r(p) = -30*p**3 + 3*p**2 - 6*p + 62. Let t(n) = -8*g(n) - 3*r(n). Is t(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-16)*-4 - 4. Sort 44, -4, l, 1 in decreasing order.\nAnswer: 44, 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0645287 milliseconds to nanoseconds.\nAnswer: 64528.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*i + 32, -q - q + 22 = 5*i. Suppose i + 54 = 5*g. Suppose 4*f - f - g = 0. Solve -r - 2 = 0, f*h + 4*r + 9 = -19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + x = 2, -x - 6 = 3*z + 2*x. Let j be ((-4)\/14)\/(12\/56). Is j greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8 and 53\/105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -19*w**2 + 4*w. Let t(h) = -4787*h - 4789*h + 14367*h - 4788*h. Determine t(v(k)).\nAnswer: -57*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1281*t**2 + t - 1020?\nAnswer: 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Solve u = -0*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155586 is divided by 335.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21 + 0)\/((-40)\/(-1680)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9815 and 7047170.\nAnswer: 7047170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3 - 3 + 7*g + 2. Let m be p(7). Calculate the highest common divisor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 21) + (-11 - -8 - (-11 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 4)*(-15 + 0). What is the units digit of -4 + 5\/(k\/(-219))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:07 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 - 31\/((-3162)\/(-486))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31729 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 6*u + 2. Let l be k(6). Let o(v) = -24894*v - 49682. Let w be o(-2). What is the greatest common divisor of l and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496418.3um in meters?\nAnswer: 0.4964183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.02783582 - 74.727836365. Let j = a - -44.7. What is j rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-19)\/(-6) + -3). Let l(r) = r. List the prime factors of l(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 - -5) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3933\/(-161) - (3 - 4)) + 176\/(-308).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161219 is divided by 1565.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4924 - 22*u**3 + 67*u**3 - 25*u**3 - 23*u**3.\nAnswer: -3*u**3 + 4924","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -452533*q**5 - 2*q**3 - q**2 + 348953.\nAnswer: -27151980*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i - 41*i + 19*i + 230*i - i - 2 + 24*i.\nAnswer: 212*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 577230600.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 20 = 2*v + 5*s, -5*v + 14 = -s. Suppose v*w = 4*w + 2. Is w bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 - (1 + -6 + -109 + 107).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6398 - 9364.\nAnswer: -9365.6398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -11399663 to the nearest 10000.\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*u**2 - 479*u**2 + 715*u**2 - 4*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 265\/30*-3*-18 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.71 and -0.63682.\nAnswer: -4.34682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18486310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**3 - 5*x**2 - 7*x - 7. Let u(k) = -3*k**3 + 4*k**2 + 6*k + 6. Give 6*t(v) + 7*u(v).\nAnswer: 3*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-45)*3)\/((-7)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*y + 2 + (-1 + 6 - 4)*(-1 - 27*y + 2 + 33*y) in the form o + z*y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.45 and 0.05.\nAnswer: 0.1225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 3*z)*(27*z - 16*z - 25*z) + 3*z**2 - 15*z**2 + 3*z**2 + (0*z + 4*z - 2*z)*(-4*z + 4*z - 3*z).\nAnswer: -43*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -16*d + 1. Let m(v) = 45*v - 3. Suppose -90*u = -106*u + 176. Let q(h) = u*n(h) + 4*m(h). Give q(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 528, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12488 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -f?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 3, h: 5, m: 1}. What is prob of picking 2 h and 1 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 817436551 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 6:26 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 14*h - 10*h + 4*p, -6 = 3*p. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187628*o**3 + 179522*o?\nAnswer: -1125768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 156, -0.114, 0.3?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = 0, 201*s = 5*i + 197*s - 138604. What are the prime factors of i?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -20152?\nAnswer: -20146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + -19 + 29 + -24 + (6 - 4) + 6.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z**2. Let m(c) = -6*c**2. Give r(m(a)).\nAnswer: 684*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1663906417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -728 - -944. Suppose 4*s - 2 - 2 = 5*q, -5*q = 5*s - 5. Let h be (s - 2)*-2 + 25. What is the greatest common divisor of h and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322804 - 19*r - 322804.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 389?\nAnswer: 17505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78.499 + 78.1. Let q = s + 3.399. Which is the second biggest value? (a) 4 (b) q (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m + 14. Let x be h(0). Suppose -3*u = 2*g - 10, -u + 2*g + 4 = x. Suppose -5*n + 27 + 53 = u. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-55)*-28)\/((-4)\/(-10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d**2 + 1 + 59*d**2 + 1 - 2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 20\/(-12) - (-34)\/51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7\/3)*z**(4\/3)*(z*z\/z**(1\/3)*z)\/(z\/((z*z\/(z**(-10)\/z)*z)\/z*z)) assuming z is positive.\nAnswer: z**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -318b478 (base 13) to base 5.\nAnswer: -12331331100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59709\/8 - -7473. Let o(j) = -j + 6. Let u be o(-6). Calculate the common denominator of (230\/u)\/(-5) - 1 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 2*p + p + p**2 + 1. Let t be 3\/7 + 51\/(-21). Let f be h(t). Solve -8 + 5 = f*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20072140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24*t**2 + 4. Let q(v) = -283224*v**2. Determine c(q(o)).\nAnswer: -1925180020224*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89524.8 less than -374558?\nAnswer: -464082.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050356595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341 and 6820.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24704538 rounded to 3 dps?\nAnswer: 0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 19. Let y be j(21). Suppose -6*d + 5*d + 2 = 0. Find the second derivative of 6*i**d + i**y + i + 5*i**5 - 7*i**2 wrt i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 359 + 28. List the prime factors of c.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (4656\/15)\/4. Let v = n + 1427\/20. Find the common denominator of v and (-56)\/(-10) - (-1)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 79*o**2 - 164*o - 158. Give f(-81).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (150\/225)\/(4\/1192800030). What is d rounded to the nearest 1000000?\nAnswer: 199000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - 6. Suppose i*a - a = 0. Solve 5*b - 25 = 0, a*x - 3*b = -x - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b4 - 1?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42, 385, 1016, 1983, 3334, 5117, 7380, 10171?\n\"Answer: 8*z**3 + 96*z**2 - z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 5*w + 1. Let q be h(-4). Let u = q + 24. Suppose g - 11 = 3*y, 2*g - u = -y + 2. Solve 2*z + 11 = 3*c, -z - g = -3*c + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(-2\/5))*r)\/r)**(-9)\/((r**(1\/15)*r)\/((r**(-1\/2)\/r)\/r)) assuming r is positive.\nAnswer: r**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137353, 549439, 1236275, 2197861, 3434197, 4945283, 6731119?\nAnswer: 8791705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 77 = -3*a. Calculate the highest common divisor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 15\/(-4 - -9). Put o, -1, -5 in decreasing order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550982 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/5*-1*3\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:07 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d - 65*d + 36*d - 1494 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 + 7*n**2)*(16*n - 499*n**2 + 569*n**2 - 15*n).\nAnswer: 490*n**4 + 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(196\/(-10))*2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/547315501?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5718571617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 - 1. Let v(l) = 6*l**3 + 3*l**2 + 2. Let n = -7327 + 7329. Determine n*b(s) + v(s).\nAnswer: 4*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 4241?\nAnswer: 4243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7040, 14077, 21114, 28151, 35188, 42225?\n\"Answer: 7037*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*l**5 - 13*l**5 - 6*l**5 + (0*l + 2*l - 3*l)*(36*l**4 - 77*l**4 + 120 + 42*l**4).\nAnswer: -37*l**5 - 120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1583\/120 - 57\/5. Let m = -2266\/5 + 465. Calculate the common denominator of r and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 43115432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 498*q**3 + 15912*q**2 + 77568*q - 595968 = 0 for q.\nAnswer: -16, 4, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2002 - 477 - 585 = 641*o + 2064 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198935?\nAnswer: 5, 11, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 448233.4ml?\nAnswer: 448.2334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1 + (-8)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238953712?\nAnswer: 2, 14934607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 5*o**2 - 58*o - 125. Give s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/87531845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 24 - 81)*(-d + d + 2*d) in the form i*d + s and give i.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:59 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 13. Let b be z(10). Let u = -2 - -3. Let y = u - b. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*(-780)\/(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-14)\/(-1))*(4 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13715081893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -2450609.\nAnswer: -2450605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17847 - 5662 = 3054*r - 5472 - 9829 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/9, 10, -2\/497?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716599*f**3 - 716596*f**3 + 2*f - 2*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16798678343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Put -4, -0.4, v in descending order.\nAnswer: v, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 times 0.5?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48838467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5. Let l be k(0). Suppose 0 = -3*w + 5*h + 47 - 2, -34 = -2*w + 2*h. Let f be w\/6*6\/4. Solve -f*j + 5 = -l*c, -4*j - 3 = -5*c - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/10 - f**2\/5 - 2. Factor r(c).\nAnswer: 2*c*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.18 - -9.18. What is the closest to 2\/13 in 0.11, -0.5, 0, v?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001059 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6176*w**3 - 6*w**2 + 6*w + 8338. Let j(c) = -18527*c**3 - 16*c**2 + 16*c + 25017. Let z(a) = 8*d(a) - 3*j(a). Differentiate z(r) wrt r.\nAnswer: 18519*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/50)\/(2\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*k - 209*k + 12 = 0. Solve -k*j + 5 + 3 = 0, 4*i - 28 = -4*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -5 + (3 - 1 - 1) + -1 + 76.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 7*b + 4*b - 5 + 5 - 2*b + (0 + b + 0)*(4 - 5 + 0))*(-3*b + 0*b + 0*b)*(-3*b + 0*b + b) to the form z*b + c*b**3 + h*b**2 + k and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-12 + 4 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451 is divided by 195?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 829974811.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 931*x**3 - 202 + 59 - 148 - 65 wrt x.\nAnswer: 2793*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*x = 159468, -15252 + 121520 = 2*o - 4*x. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1257, 2373, 3305, 4035, 4545, 4817, 4833, 4575?\nAnswer: 4025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 59*x**2 + 389*x - 70. Let r be i(-65). Let j = 0.03 + 0.17. Put -2\/9, r, 3, j in descending order.\nAnswer: 3, j, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56712197747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640175576?\nAnswer: 2, 89, 899123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2212?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:56 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14186 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:01 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 34547400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-4))\/(5\/(13 + 2)). Let u = 2.8 + -3. Put x, u, -1 in ascending order.\nAnswer: -1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-28)\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 99*y - 15. Let l(k) = 101*k - 16. Determine 2*l(s) - 3*o(s).\nAnswer: -95*s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 70*z - 1184*z**4 - 2*z**3 + 1179*z**4 + 77*z to f*z**4 + p*z + h*z**3 + o + x*z**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 - -343. Let q = 14376 + -14332. Calculate the highest common factor of s and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**2 + 5*o - 5*o + (2 - 2 + o**2)*(-5 + 3 + 0).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25908.\nAnswer: 2, 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 1726486.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2. Let f(y) = -592430*y. Calculate l(f(x)).\nAnswer: -2456813134300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32625*u + 746446 + 917429 = 0 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/6 - 7490*f\/3 - 720863\/2.\nAnswer: (f - 15123)*(f + 143)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6761 or 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.073 + -34.927. Let v = 25 + r. Let g = 9.999922 + v. What is g rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32560\/(-1232) + (-3)\/(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1781345 and -41\/74711705?\nAnswer: 1270098985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 - 16*q + 28. Let a(n) = 10*n**2 - 16*n + 26. Let l(k) = -3*a(k) + 4*g(k). Let m be l(4). Solve -16 = 4*v - 4*t, 7*t = m*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 119. Sort 5, -5, t, 1\/4.\nAnswer: -5, 1\/4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 3:32 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 280\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364961?\nAnswer: 3, 13, 31, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 3883 (c) 1 (d) 7 (e) -5 (f) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/19))\/f**10)\/(f**0)**49 assuming f is positive.\nAnswer: f**(-173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 104*w - 4.\nAnswer: -104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 3. Let s be u(-5). Suppose -2*c - z = -2, 0 = -0*z + 2*z + 8. Factor 2*p**2 + p**3 + s*p**3 + 2*p - 2 - 5*p**c.\nAnswer: -2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-51) - 41140\/(-3179).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*p + 1 = 0, 3*p + 92 = -l + 90 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1428*s + 49214. What is u(-34)?\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**(-15)\/(b**(-6)*b*(b*b**(-6)*b*b)\/b))\/(b**(1\/5)*b**6*(b**(2\/5)*b)\/(b\/(b*b**(-1\/4))*b)) assuming b is positive.\nAnswer: b**(-67\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 51754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.6 (b) 1\/3 (c) -1 (d) -5 (e) 0.1 (f) -647\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (0 + 2)) + 4. Let o = 35469 + -35469. Solve q*t = -4 - o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1895*x**2 - 12*x + 12. Is f(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 174\/83, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-128)\/28)\/(2 - 4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 12\/5. Suppose 6*r - 2*z + k = 3*r, -4*z = -4*r - 8. Let g = -874269\/7 - -124897. Put -4\/5, r, g in increasing order.\nAnswer: -4\/5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 8, d: 5, p: 5}. Give prob of picking 1 l and 1 d.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*h + 9*h**2 + 101*h**3 + 39*h + 31*h - 99*h**3 - 96*h + 2 to p*h**2 + s*h + f*h**3 + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5)*(1 - -4). Let c be (1\/w)\/(2\/8). Let u be ((-3)\/5)\/(-3) + (-116)\/(-20). Solve -u = -0*v + c*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2540\/(-820) + 3*1. Let r = a - 29\/123. What is the biggest value in -0.2, 1, 17, r?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*c - c. What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d. Suppose d = 3*p + 4*z - 15, 0 = -5*p + 2*p + z. Let q(s) be the first derivative of 7*s**3\/3 + s**2\/2 - s - 20. Determine q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 297.6 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638471630.\nAnswer: 2, 5, 19, 37, 90821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + g - 2 - 1, d + 13 = -5*g. Solve -m + 0 = -d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 17 + 4 = -5*o, u + 3*o = 11. Let c = 5 - 4. Let a = 9 + -3. Sort a, c, u.\nAnswer: u, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1262 - -151.1262. Which is the second biggest value? (a) -0.4 (b) 2 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2208513747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -57*l**3 + 28*l**2 - 32*l + 2. What is r(1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/15)\/17*(-92)\/(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13047*n + 8205 wrt n?\nAnswer: -13047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 20 = -4*z. Let y(q) = 0 + 1146*q**2 + 2*q - 1147*q**z - 1. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1023642 + -6?\nAnswer: -1023651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1*(-77 - -71). Solve -2*w = -q - p - 2, 0 = q + 2*w - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*1)\/((3*sqrt(192) - sqrt(192)) + sqrt(3)).\nAnswer: 3*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1933*c**2 + 357*c + 2. Let f(i) = -1933*i**2 - 351*i - 2. Let h(n) = 6*f(n) + 5*q(n). What is the second derivative of h(a) wrt a?\nAnswer: -3866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/30 and -157\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -1\/13, -1, 26, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 8:39 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378*j*l*z**3 + 73*j*l*z**2 - 2*j*z**3 - j*z + 3*j + 43*l*z + 1334*l wrt z.\nAnswer: 2268*j*l*z + 146*j*l - 12*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 37 = -4*y, 1 = -4*y - 11. Suppose 8 = -0*v + 2*v. Suppose 3*k - m = 31, 0*k - 4*m = -v*k + 52. Calculate the remainder when k is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2908*n**2 - 636850*n - 438.\nAnswer: 2*(n - 219)*(1454*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -113?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1173*l**3 + 2*l**2 + l - 1. Suppose -17 + 12 = 5*g. Let f be b(g). Suppose -2*k + z = 2*k - f, 0 = k - z - 294. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*t - 54, -3*a + 3*t - 2*t = -40. Let i = -17 + a. Put -2, i, 1 in decreasing order.\nAnswer: 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2\/3 (b) 1\/4 (c) -8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 22. Let r be i(-9). Suppose 11*v - 8 = r*v. Let k(u) = -37*u + 31. Is k(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, i: 4, k: 1, f: 2}. What is prob of sequence sfs?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 5 (b) -1\/2 (c) -0.2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7449*n*o + 2*n - 9830*o wrt n?\nAnswer: -7449*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -574*-6651.\nAnswer: 3817674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c - 0*c + 297. What is the highest common factor of 135 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1024\/(-48)*((-6)\/(-4))\/((-7)\/14). Solve -36*o = j + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 644260 + -3?\nAnswer: 644255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/10576825, -4 in ascending order.\nAnswer: -4, -0.1, 2\/10576825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 352080587 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20203 + -20151. What is the closest to -1 in -0.27, 2, v?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2574856 + -1452956. What is t rounded to the nearest 10000?\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let h be (-15)\/2*2\/3. Let w = 7 - h. Solve c*r + w = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 44*c**3 - 3*c**2 - 3*c + 321. Let s(t) = -87*t**3 + 7*t**2 + 7*t - 643. Let n(h) = -14*j(h) - 6*s(h). Find the first derivative of n(x) wrt x.\nAnswer: -282*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*p + 3*p - 70 - 1336. Suppose -o + i = 3*i - 136, 5*i - 705 = -5*o. Calculate the remainder when o is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*d - 8*i + 5, -1068*d + 1076*d - 44 = 4*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34341 microseconds in milliseconds?\nAnswer: 0.00034341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -3, 5, 0.37.\nAnswer: -4, -3, 0.37, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -110 + 246a18?\nAnswer: 246908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 38*i - 58 + 36*i - 68*i. Let v be p(18). Let b = 165 - v. 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 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3*p**2 - 3*p**2 + (-2 - p**2 + 2)*(-4 + 3 + 3) + 2*p**2 + 0*p**2 - p**2)*(5 - 3 + 0).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aatadtwssals. What is prob of sequence atw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10966340 divided by -2193268?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -24, -37, 7, 30, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 17*r**3 - 6*r**2 - 8*r + 11. Let k be j(4). Suppose 408*i - 409*i + k = 0. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 + 4*c + 25. Let x be r(-3). What is the fifth biggest value in -3, x, 12, -5, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -146, -0.1, 9.8, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1085\/4 or -271?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -0.4, -1\/3, -1\/8, -0.5, -2\/303?\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 1. Let k(j) = -j**2 - 2*j + 27. Let u(f) = -k(f) - 5*s(f). Let i be u(3). Solve 5*d - 4*c = 5, 20 = d - 3*c + i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*y + 274, -3*z + 4*y = 53 + 101. Let u = 115\/7 - 703\/56. Calculate the common denominator of z\/(-40) - (-24)\/60 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 5*q + q + 7*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 6*s**2 + 2*s**2 - s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 198580?\nAnswer: -198580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s - 2*t, 0 = -3*s - 5*t + 15 + 9. Suppose s*l + 22 = 5*d + 4*l, 4*d - 23 = l. Suppose 0*c = d*c - 1435. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -4, 80.6, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*s**3 + 288\/5 - 96\/5*s - 22\/5*s**2.\nAnswer: -(s - 2)*(s + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -6792, 4 in decreasing order.\nAnswer: 4, 3, -2, -6792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 7. Let p(l) = -3*l**2 + 5*l - 5. Let u be p(2). Let s(m) = m + 5. Let n(h) = u*s(h) - 5*t(h). Let f(q) = 4*q**2. Calculate n(f(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f**2 + 2*f - 716. Let b(h) = 8*h**2 - 2*h + 716. Give -3*b(a) - 2*o(a).\nAnswer: 2*a**2 + 2*a - 716","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**2*n**2 + 43*h**2*n - 38131*h*n**2 - 2*h*n + 2*n**2 + 8083*n wrt n?\nAnswer: -8*h**2 - 76262*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 1872.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 35. What is the lowest common multiple of u and -10*(0 + 1\/(-2))?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 9*n**3 + 3*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 2*r**3\/3 - 9*r**2 + 65*r + 16. Let o(m) = m. Give 3*o(j) - z(j).\nAnswer: -j + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1260*y**3 - 67 wrt y.\nAnswer: -3780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/56*(-16)\/(-12). Which is the second smallest value? (a) -7\/5 (b) -2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -38*n**3 + n. Let c be r(1). Suppose 3*j = -0*j - 189. Let u = c - j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 - 1 = 0. Let j = 0 + l. Suppose -8*a - 17 + 33 = 0. Put j, -1, -4, a in descending order.\nAnswer: a, j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 0 + 12 - (-4 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -34*h**2 + 11*h + 4. Let o(p) = 17*p**2 - 4*p - 2. Give -5*o(u) - 2*v(u).\nAnswer: -17*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*c + 3\/2 - 3\/4*c**3 + 9\/4*c**2 - 3\/4*c**4.\nAnswer: -3*(c - 2)*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483133.\nAnswer: 7, 69019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 + 2*z - 1. Let c(q) = 429*q**3 + 6*q**2 + 10*q - 7. What is -6*b(y) + c(y)?\nAnswer: 423*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:32 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12150813803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 592139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -5, 14, 47, 94?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155796 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/18137 + -2303423\/217644. Let r be 2\/(4\/(-6)) - -1. Calculate the common denominator of 777\/(-30) + r\/(-5) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:08 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 25*z**2 + 48*z - 1. Let q be c(-2). Let l = 2 - 1. Suppose 5*a = 2*k + 8, 2*k = -k + 2*a - l. Solve 2*y = -q + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24534, -98145, -220830, -392589, -613422?\n\"Answer: -24537*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4171, -16518, -37103, -65932, -103011?\n\"Answer: -h**3 - 4113*h**2 - h - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.98568519 and 5985.7.\nAnswer: 5993.68568519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461735979?\nAnswer: 3, 31, 4964903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1, -0.3, 117\/7, 0.1, 139?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*n - 43*n + 93*n + 18*n.\nAnswer: 572*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 7*z + 3. Let t(f) = 28*f**2 + 24*f + 8. Let o(m) = -3*i(m) + t(m). Give o(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336151*-4.\nAnswer: -1344604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 7*p + 0*p)*(-3*p**2 + 3*p**2 - 3*p**2) + (-p + p**2 + p)*(-16*p + 34*p - 3*p) in the form d*p**3 + g + z*p + n*p**2 and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.116, 0.1, 3\/179 in decreasing order.\nAnswer: 0.116, 0.1, 3\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/((y**1*y)\/y))\/y)**(-12\/13))**28 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.5 + -19.4. What is m rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.035 and 0.4.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-16) - (-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 768.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -4, -4\/5, -120, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**3 - 551*f**2 + 716*f wrt f?\nAnswer: -30*f - 1102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2100 - 1523. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16357 + -16358. What is the third biggest value in c, -0.57, 7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.3619866 to 0 decimal places.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.2. Let w = -1478 - -1473.192. Let l = -0.192 + w. What is the nearest to a in 1\/6, l, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 - 7*o + 4. Suppose -12 = 3*r, 5*c - 31 = -0*r + 4*r. Let z(k) = 18 - 12 + 5*k**2 + 0 - c + k**3 - 5*k. Determine 5*s(d) - 7*z(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4311942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 - -6.3. Let d = 4.9 - s. Round d to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = -36. What is the nearest to -1 in k, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 299815?\nAnswer: 2098705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose -2*d = j*l - 9, -11 = -3*d + 2*l - 4. Suppose -4*b + 12 = o, 2*b = o - 3*b + 6. Solve 5 + d = o*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - -37. List the prime factors of q.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2)*(-54)\/162\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 519, 517, 515?\n\"Answer: -2*q + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 2*a**4 + 0*a**4)*(-17 + 2 - 3) + 0*a**4 + a**4 + a**4.\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 25.3. Let i = -1\/4 + 0. Let y = -131 - -135. Put y, i, 1\/5, a in decreasing order.\nAnswer: y, 1\/5, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -206 take away -2640600868?\nAnswer: 2640600662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 - -127. Let c be 1\/(x\/(-90) - (-1)\/3). Sort -1, 4, 2, c.\nAnswer: -1, 2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 439?\nAnswer: 175.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/75 and -31\/95.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from cxcccxccxccc.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:59 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10794186.\nAnswer: 2, 3, 13, 163, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (157 - 151) + (-1 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 - -517. Let l = 161.000623 - q. What is l rounded to 5 decimal places?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3955370 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 1. Let k(c) = -5*c**3 + c. Let o be k(-1). Suppose 2 = -2*s - o. Give b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 1381*i - 22351. Let g be d(-16). Let u(m) = 3 + m - 2*m**2 - 6 + 2. Calculate u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 177. Solve -r*h + 21*h + 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -4.96. Let t = 8 - l. Let i = t + -3.00002. What is i rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbpl when four letters picked without replacement from {i: 2, b: 2, l: 6, p: 8}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f + 0*f)*(2*f**4 - 4*f**4 - 2*f**4) + (-8929 - 973*f**3 + 8929 - 2*f**2)*(-f**2 + 0*f**2 + 3*f**2).\nAnswer: -1942*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3322?\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4931.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 2*v + 27, 3*v + v + 4 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -312410 (base 5) to base 11\nAnswer: -7864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0 + 0)*(3 + 8 + 1)*(316*a**2 + 12055*a - 12055*a).\nAnswer: -7584*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 245968 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2025 + 89087\/44. What is the common denominator of 19\/10 and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4421824 divided by 6281.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -50*u**3 + 10*u**2 + 131*u - 5. Let j(y) = -50*y**3 + 12*y**2 + 129*y - 6. Let c(g) = -5*j(g) + 6*q(g). What is the second derivative of c(h) wrt h?\nAnswer: -300*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-31 - -24) - (7 - 2) - (2 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyjyjyyjjyyjy. What is prob of sequence jyjj?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30202 - -3132?\nAnswer: -21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 821060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - 4) + 3 - -5) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 3*z = a + 418, 5*z = 2*a - 161. Let h = a - 80. Solve 0 = f - h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -4*n**3 - n**2\/2 + 3*n. Is r(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 9*r - 14*r + 18*r - 38, 3*b + 303 = 48*r for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - 72\/108.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 16 = -0. Suppose d - 5*r = -21, -2*d + 5*r + 3 - 20 = 0. Find the third derivative of 0*b - h*b**2 + b**4 + 0*b - 2*b**d wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/888 and -41\/34743.\nAnswer: 277944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-16 - 496\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1. Let v(a) = -137*a + 4. Give -v(g) - 5*y(g).\nAnswer: 137*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3183.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 483970 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001110 + -11101110?\nAnswer: -1001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17111 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39, 2\/11, -0.3 in descending order.\nAnswer: 39, 2\/11, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9324.021 kilometers to meters.\nAnswer: 9324021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17909.63 - -0.4\nAnswer: -17909.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13.18 * 100.49\nAnswer: 1324.4582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/3509 and 68\/32973.\nAnswer: 3989733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/17307911 and -17\/8?\nAnswer: 138463288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*k - 14 = -c, -5*k = -5*c - 55. Let y be (2\/c)\/(-1 - -2). Let t = 332 + -331. What is the closest to -2 in y, -0.2, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3047151824 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = -p, 2*p + w - 12 = 2. Let j = 1 - 1.4. Let f = 221\/4 - 55. What is the nearest to j in p, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 147220758.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -179.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 23 + 6*m + 14*m**2 + 26 - 48. Is q(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-23 - -18) + -1 + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/4*20\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25672*z**3 - 25813*z**3 + 4*z**2 - 4*z**2 + 51508*z**3.\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - u**4 + 172*u - 79*u + u**2 - 89*u to l*u**4 + x*u**2 + i*u + d*u**3 + t and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3\/1639, 1887?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 8*m**4 + 15471004*m**3 + 9973001110500*m**2 + 2142951937949812500*m + 1071473475726562500 = 0.\nAnswer: -644625, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(882)*-2)\/((sqrt(54) - (sqrt(54) + sqrt(162)\/sqrt(3)))\/sqrt(9)).\nAnswer: 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5433*g - 1586. Does 20 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31711.\nAnswer: 19, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*((k*k*(k**42*k*k)\/k)\/k)\/k*k*k*k**(-12\/7)*k**28\/k**(-18) assuming k is positive.\nAnswer: k**(632\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 10*a - 2. Let z be (-2)\/(-5) - 129\/(-15). List the prime factors of o(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-32)\/(-12). Suppose r = -2*q + p, 2*r - 1 = 3*r. Does 16 divide 3 - ((-50)\/q + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(12)\/sqrt(2)) - sqrt(672)\/sqrt(192))\/(3*1*sqrt(392)).\nAnswer: sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 5 + 5)*(-119 + 54*p + 119)*(-3 + 2 + 0).\nAnswer: 162*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208356 and 174891?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 41 - 79 + 38.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-675)*-6*(-6)\/(-28).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/3 - 2\/(-3). Suppose 2*x = 3*s + 376, -275 + 1192 = 5*x + c*s. Suppose 0 = -4*k + a + 241, 3*k - a - 4*a - x = 0. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o. Let z(w) = 7*w**2 + 7*w - 13. Let p(t) = -6*u(t) + z(t). What is the tens digit of p(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 785*g**3 + 19*g**2 - 28*g + 25. Does 149 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -57 (b) 0.2 (c) -2\/11 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 3.81081.\nAnswer: -0.381081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - b + 4*b = -7, -2*f - 6 = 4*b. Suppose 0 = -4*a - 0*a - 16. Let r = f - a. What is the remainder when 5 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -0.9 (c) 90.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (14 - (0 + 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34385809*d**4*v**2 - 357*d*v**2 - 166*d*v - 34*v**2 - 4*v wrt d?\nAnswer: -412629708*d**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3742547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/33 + 28\/602.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35664, -35670, -35676, -35682, -35688?\nAnswer: -35694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 121 = 123. Calculate the remainder when m is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p + 4*p + 4*o - 12, -3*p = -3*o + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -344246 and 0.3.\nAnswer: -344245.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1700.2971189 and -4396?\nAnswer: 2695.7028811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2 and -23\/5873835.\nAnswer: 11747670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8261, -16533, -24815, -33113, -41433?\n\"Answer: -o**3 + o**2 - 8268*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) -0.3 (c) 2\/71 (d) 54384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 12*l**3 - 111*l**2 - 204*l - 108.\nAnswer: 3*(l - 9)*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1. Let x(u) = -3*u - 17. Let d(s) = 2*c(s) - x(s). Let h be d(-6). Let j = 1 - -1. Put j, 0, -1, h in ascending order.\nAnswer: h, -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - (-47)\/5. Suppose -8 = -5*o + 2. Solve 3 - x = -o*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l**2 + 2*l + 21817. Is k(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 - x**2 + x. Let v be c(1). Suppose -m = 2*j + 2*j + 22, 5*j + v*m + 31 = 0. What are the prime factors of (-58)\/(-4) - j\/(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190479044*m*t - 4*t - 16567301 wrt m.\nAnswer: -190479044*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 133, 150, 167?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 35*a + 1279. Calculate u(25).\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -914754, -914751, -914748, -914745?\n\"Answer: 3*r - 914757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 462 + -3.73167\nAnswer: 458.26833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 185\/6 less than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125462 or 125463?\nAnswer: 125462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -648.8 and -4.\nAnswer: -652.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 3, 2, 1, 718 in decreasing order.\nAnswer: 718, 45, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 18 + 23)*(-11 - 9*q + 11).\nAnswer: -252*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7919.499 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 464 + -461. Is -67 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - 153*m - 11. Let n(q) = -2*q**2 + 75*q + 7. What is 5*n(y) + 3*o(y)?\nAnswer: 5*y**2 - 84*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 1\/6, -0.039, 7 in ascending order.\nAnswer: -0.5, -0.039, 1\/6, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 74. Does 38 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)\/(b\/(b\/b**(-6))*b))**(-45) assuming b is positive.\nAnswer: b**(-1035\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4410135429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m + 43 = -3*z, -4*m - 140 = 4*z. Let h = -3 - m. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)\/sqrt(4)*1 - sqrt(60))\/(sqrt(1440) + (sqrt(1440) - sqrt(1440)*-2))*5)\/((-2*sqrt(6)*-5)\/(sqrt(3) - (1*sqrt(75) + sqrt(75)))*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -219*n**4\/8 + 629*n**3\/2 + 936*n**2. Differentiate y(g) with respect to g.\nAnswer: -657","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 521*t + 58. Let x be 1\/(2\/5 - 10\/(-100)). Does 50 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34612 - 1?\nAnswer: 34611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 - -180. Let z be 11\/33 + (-636)\/(-9). Let y = -75 + z. Put y, u, 0, 5 in ascending order.\nAnswer: y, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11399327 and -1.6?\nAnswer: 0.182389232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - j. Let w be y(2). Suppose w*s - s - 411 = 3*o, 4 = -2*o. What is the highest common factor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 10*u + 35. Is -5*u\/(-5)*-12 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:57 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 691510.1kg?\nAnswer: 691.5101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3)\/(-12)*-10*-2. What is the smallest common multiple of 212\/5 + 4\/(-10) and m*1 - 0 - (-75 + 74)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 9133704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552210 divided by -466.\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:50 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (840\/1650)\/((-8)\/(-44)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -42*s + 4. Let z(i) = 41*i - 6. What is 6*a(h) + 7*z(h)?\nAnswer: 35*h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/3)))**45\/(d\/(d\/d**(-3\/7))*d*d\/(d\/d**(-2\/13)*d)))**(-4\/3) assuming d is positive.\nAnswer: d**(10708\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -269 - -3878. Let d = 5318 - g. Let p = -291 - d. What is p rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + d - 2, 5*q + 4 = 4*q + 2*d. Let t be (1 - 5 - 1)\/(-1). Suppose 0 = -2*v - t + 15. Solve -r = 5*y - 21 - 4, q = v*r + 2*y - 33 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 + 496*q**3 + 5928*q**2 + 17424*q + 11988 = 0. Calculate q.\nAnswer: -111, -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2*a - 5*a)*(-2*a - 3*a**2 + 2*a)*(3*a**2 - 3*a**2 + a**2).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 41 + 244. Let x = 24 + j. Does 13 divide 4\/(-22) + (-732)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2812, -0.3, -3 in increasing order.\nAnswer: -2812, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42889 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 3*m**3 + 7313. Let u(h) = -11*h + 18. Give p(u(b)).\nAnswer: 1089*b**2 - 3564*b + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334666.\nAnswer: 2, 19, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 6. Suppose -36 = -3*r + 3*k - 12, v = -3*r - 4*k. Find the second derivative of 2*p**4 - 4*p**r + 4*p**3 + 63*p - 57*p wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222533 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Let r = 123 - 221. Let k = r + 102. What is the closest to v in -2\/9, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 44 + 24 = 0, 4*h + 5*d = 105752. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggggwggggg. Give prob of sequence wg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 + -1 + 5 + -1. Suppose -q + 131 = 3*r. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let q(a) be the second derivative of a**5\/30 - a**4\/12 - a**3\/6 + 19*a**2\/2 + 12*a. Let u(g) be the first derivative of q(g). Calculate u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/5)\/((k\/k**(-8))\/k))**(-23\/2))**6)**38 assuming k is positive.\nAnswer: k**(107502\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -4*g - 0*g. Let k be (-16120)\/g*198\/8. What is k rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*u**2 + 50*b*u*w - 9*u**2*w - 13*u*w - 2 wrt b.\nAnswer: -2*u**2 + 50*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*b**2*j**4 - b**2*j**3 + 2*b**2*j - 14*b - 9*j**4 + 4*j**2 wrt j?\nAnswer: -504*b**2*j - 6*b**2 - 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108936 less than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 901, 1222, 1713, 2380, 3229, 4266, 5497?\n\"Answer: w**3 + 79*w**2 + 77*w + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 121*g**3\/3 + 240. Let x(d) = -2*d**2. What is x(y(n))?\nAnswer: -29282*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (sqrt(425) - (sqrt(425) + -2))*5)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2) - 30\/(-12)*(459\/102 - 5). Let -11\/8*y + s*y**4 - 1\/8 + 11\/8*y**3 - 9\/8*y**2 = 0. Calculate y.\nAnswer: -1, -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3 + 3 - t - 4*t + 4*t + 0*t + t + t + (-3 + 0 + 2)*(t - 5*t + 2*t) - 5*t + 3*t + 3*t)*(-8*t + 10*t + 0*t + 1 - 3*t**3).\nAnswer: -21*t**4 + 14*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014819 rounded to 6 dps?\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v. Let g(o) be the second derivative of o**4\/4 + 5*o. Calculate g(h(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -4, -900, 2.\nAnswer: -900, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = j - 3*d - 20, 4*d + 25 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5*(-50)\/45\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 21*t - 704 = 0. What is the units digit of t\/(-55)*(-10)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 34 + -26 + -37.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4340*t**3 - 8532*t**2 + 4044*t + 148 = 0.\nAnswer: -37\/1085, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1943270*r**3 + 16727911 wrt r?\nAnswer: -5829810*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 46 = 10. Find the third derivative of 27*d**2 - 24*d**4 - 9*d**3 + t*d**3 wrt d.\nAnswer: -576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38642\/27 or -1432?\nAnswer: -1432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.195765 (b) 1 (c) 1\/18 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*j - 366 = 590*j. Sort j, -3, -4011, -2, 2.\nAnswer: -4011, -3, -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - 3*s. Let t(j) be the second derivative of 0 + 0*j**2 - 5\/6*j**3 - 16*j - 5\/12*j**4. Give 4*t(d) - 7*v(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1872) + 0 - (sqrt(1872) + sqrt(1872)*-1 + -5))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 558 - 2\/(-7)*(-161)\/(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1675*t. Let w(p) = 3353*p. Calculate 3*w(d) - 7*z(d).\nAnswer: -1666*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1450, -9556, -31450, -74026, -144178, -248800, -394786?\nAnswer: -589030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 5*m**2 + 9*m - 5. Calculate x(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b + 6. Let m(i) = -i. Let y(k) = h(k) + 12*m(k). Let j(g) = 3*g**2 + 1. Let n be j(1). Let v(t) = -t - 5. Determine n*v(l) + 3*y(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 11*z + 68. Let i be u(-15). Let d be (-5704 - (i\/4 - 3)) + 3. What is d rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 4, 5 in increasing order.\nAnswer: -3, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10011010011011111111 (base 2) to base 10\nAnswer: 632575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 - 502*c**3*j + 34*c**2 + 5*j wrt c?\nAnswer: -120*c**2 - 3012*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1920*s**3 - 217*s**2 - 7*s - 2. Let l(z) = -960*z**3 + 88*z**2 + 3*z + 1. Let p(x) = 7*l(x) + 3*o(x). Find the third derivative of p(g) wrt g.\nAnswer: -5760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0143 - -39.0857. Let j = 39 - t. Put 0.5, -0.4, j in decreasing order.\nAnswer: 0.5, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llltttstlttlttttltls. Give prob of picking 1 l and 3 t.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-26)\/(-221) - (-191)\/(-34))*-24. What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*z + 706*z + 4671 = 0 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 3771?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4627011322.\nAnswer: 2, 1459, 1585679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44577?\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1124.8 * 2.\nAnswer: -2249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11486 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 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3 + (-1 + 1 + 4)*(4 - 1 - 1) + 0 + 1 - 2)*(19 - 42 - 34 + (-5 + 1 + 6)*(-1 + 2 - 2)) + (-1 - 2 + 2)*(4 - 1 - 4))*(-3*o + o + o).\nAnswer: 294*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1885075.\nAnswer: 5, 75403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/((-1240)\/(-150)))\/((-10)\/16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, w: 4, h: 2}. Give prob of sequence hk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12325\/8 - 1536. What is the common denominator of 121\/168 and z?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 2. Suppose -2*c - 5*j = -21, -3 = 2*c - 5*j + 6. Calculate f(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*v + 15, -w + 10 = -2*v - 3*w. Let o be (-28)\/16 - (2 - 3). What is the third biggest value in o, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 96 = 128. Let x be (12\/15)\/(u\/80). Solve -l - 4 = -x*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/30784948 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 1654421.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7\/6)\/t)\/t)**16 assuming t is positive.\nAnswer: t**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-24 + 57 + -36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c**(-17)*c)\/(c*c*c**3)**(-5\/8) assuming c is positive.\nAnswer: c**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 + -3 - (-2 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 5, 36, 91, 176, 297?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5225*k**4 + 1243 - 136*k**2 + 112*k**2 - 1262 wrt k.\nAnswer: 125400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(7) + -1*sqrt(448).\nAnswer: -7*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:43 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, 7, 61, 161, 319, 547?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 2*y + 2. Let m = -20 - -20. Let z be b(m). Suppose v - 1581 = -z*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -752 - -1153. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g**2 + 43518*g - 43517. Determine l(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 272782?\nAnswer: -2\/136391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971698398?\nAnswer: 2, 3, 11, 47, 313249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/918*6)\/(9\/(-27)). Which is the nearest to 0.8? (a) -7 (b) g (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 8 - 3)*(2*w - 6*w + 3*w + (-4*w + 3*w - w)*(5 + 1 - 5) - w - 3*w + 3*w + (-4 - 42 + 72)*(-6*w + 8 - 8)) to s + b*w and give b.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 633911.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.095721 kilograms?\nAnswer: 8095721000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528992 and 355823.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 - 69. Calculate the remainder when y is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1955 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 14. Let p be -22*((-15)\/m)\/(-1). What is the greatest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 16. Calculate the remainder when (-111)\/(-2) - (-3)\/(-6) is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 2*t + 232. Let o = 29 - 54. Let u = o - t. Solve u = d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - 4273\nAnswer: -4272.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdv when three letters picked without replacement from vvvdddvddvddv.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 580812.9 milligrams in kilograms?\nAnswer: 0.5808129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtbvx. Give prob of sequence vt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6826566*h**2 + 6*h - 516477032.\nAnswer: -13653132*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3420939100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*-3*2\/(-12). Suppose -2*n = -0*y + z*y - 86, 2*y - 39 = -5*n. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3 + 0 + -1)*3. Which is the closest to v? (a) 3 (b) 3\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 7*y**4 + 0*y**4 + (14 + 22 + 26)*(-3 + 4 + 1)*(y**4 - 4*y + 4*y).\nAnswer: 127*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 10 = 5*q, 4*c = 9 - 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-130872)\/228*(-4)\/28*(-2)\/4\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 68*w**3 + 316*w**2 + 412*w + 168.\nAnswer: -4*(w - 21)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10333 - -114. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-9 - -6 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -436330 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 629903732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 - 17*z**2)*(-14 - 15 + z + 27).\nAnswer: -17*z**3 + 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 438138351 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: Evaluate 24 - (-31 - -15 - -139) - -14.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1504\/3 - -496. Is -5 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 3*h**2 - 3*h**2 + (-4 + 4 + 2*h)*(-3*h**2 + 5*h**2 - 4*h**2) - 2*h**3 + 0*h**3 + 4*h**3 - 2*h**3 - h**3 - h + 2*h**3.\nAnswer: -7*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 18.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(500)*-3 + 1 + (sqrt(500) + (4*sqrt(500)*2 - sqrt(500)))**2 + (sqrt(500) + 0)**2 + 0 + sqrt(500) + 3.\nAnswer: 70*sqrt(5) + 32504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598338822.\nAnswer: 2, 3, 99723137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262830 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -31. Suppose -99 = -2*d - k. What is the remainder when 137 is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g = -23*g + 971766 + 3144452. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -6 + -3 - -4)*-152. Is s >= -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069 = -19*i + 4964. What are the prime factors of i?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r + 10. Let l = 8 + r. Let d(m) = -m**3 + 2*m**2 + 4*m - 2. What is d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -21\/4*p**2 + 0*p + 7 + 1\/2*p**3. Determine a so that j(a) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.743, 0.3, 0.4.\nAnswer: 0.3, 0.4, 2.743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 23)*(d + 2*d - d)*(0 - 18 + 1 + (3 - 3 - 1)*(-2 + 1 - 1)).\nAnswer: -870*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-5390)*-22)\/(30\/(-21))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 28 = 9*z. Solve l - 3*l + 2*h + 2 = 0, -2*l = -z*h + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5246 and 3311?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 7*l**2 + 7*l - 3. Let o be j(6). Let m = -3 + o. Suppose -5*s - 9 = k, -2*s = -4*k - m*k + 8. What is the second smallest value in 5, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -242 - -351. Let q = 22 + s. What are the prime factors of q?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-70) + (-22)\/(-1100)*10\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 5, -4, -866, 86 in ascending order.\nAnswer: -866, -51, -4, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32194318 and -1.84?\nAnswer: 32194319.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*j + 23301 = 2*j, 5*j - 69895 = 3*p. Round p to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1895977, -3791957, -5687937?\n\"Answer: -1895980*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.4 (c) -0.12 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 509*f - 259*f - f**2 - 257*f - 15. Let v be i(-4). Let y(o) = o**2 + 5*o + 2. What is y(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 3:01 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 752819\/30 + -25089. Suppose -11*b = -6*b + 4*l - 456, 3*b - 3*l - 252 = 0. Calculate the common denominator of c and (-1957)\/(-330) - 32\/b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1712038 and 1208.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a microgram in nanograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 3*l + 8. Let i be (-2 + 4)*l\/6. Suppose 2*o + 1 = 3*o. Is o less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 4 (c) -0.1 (d) 1 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o, -3*z + 4*o + 12 = 5. Let v(y) = 11*y**2 - 4*y + 5. Calculate v(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 21644.\nAnswer: -47\/10822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44640 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -511?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 307952 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 + 2*m + m + 0*m**3 to the form j*m**2 + f*m + g + o*m**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4574*r + 42115*r + 39*r.\nAnswer: 46728*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(-r - 9*r + 3*r) + ((-1 + 1 + 1)*(1 + 1 - 3) + 2 + 2 - 6)*(1 - 1 + 2*r) as h + y*r and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 23 = -2*s - m, -4*m = 2*s - 90. Let l = 53 - s. Calculate the smallest common multiple of 8 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 4*g - 4. Let d(k) = -5*k + 3. Let s(c) = 4*c - 2. Let h(v) = 3*d(v) + 4*s(v). Let y = 544 - 549. Calculate y*h(t) - b(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - i = 11569, -2*i = -2247*w + 2252*w - 57859. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6131.13 rounded to the nearest 10?\nAnswer: -6130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 9*x + 97*x - 23*x - 29*x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - 4*u**4 + 5*u**4 + 3 + 2*u - 5 to x + r*u**2 + y*u**3 + o*u**4 + l*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*t + 3*b, 2*t - 4*b = b + 15. Calculate the greatest common divisor of t and 7570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 236, 760, 1764, 3404, 5836?\n\"Answer: 26*v**3 + 6*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27712 divided by 5.\nAnswer: -27712\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 18*k**2 + 14*k**2 - 15*k**2)*(-3*k**2 - k**3 + 3*k**2).\nAnswer: 19*k**5 - 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q = 0. Let i = -0.1 + 0. Which is the nearest to i? (a) 4 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**2 - 29*i - 3*i**2 + 8*i**2 - 7*i**3 + 1 + 8*i**3 + 10*i**2. Calculate s(-9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 550 + -531. Let k(o) = -62 + 18*o + 21 + w + 22. Let d(f) be the second derivative of -f**3\/2 - f. Calculate k(d(z)).\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a - 8d?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1179 divided by -3\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1243\/6 - 207. Which is the closest to i? (a) 3 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-36)*115560\/(-27285)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*h**5 - h**3 + 51*h**2 + 1.\nAnswer: -3120*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 8:33 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -213*l + 335. Determine k(2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1529992, -1529991, -1529990?\nAnswer: -1529989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/((d*d*d**(-1\/16)\/d)\/d))\/d)\/d)\/d)\/(d\/(d\/d**7))*(d\/d**(-2\/29))\/(d*(d*d**(12\/7)\/d)\/d) assuming d is positive.\nAnswer: d**(-31125\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7089 - -7100. What is the remainder when 71 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((560\/(-30))\/(-8))\/((-1)\/3*2).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(7) - sqrt(63)) + sqrt(7)))**2 - ((sqrt(7) - sqrt(14)\/sqrt(2)) + 0))*-2.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -39*k**2 - k. Let t(d) = 172*d. What is t(f(a))?\nAnswer: -6708*a**2 - 172*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2016136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (8 + -2 - -409) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/2, -1\/4, -2\/7, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-2 + (-2)\/(-3)). Suppose 2*b = -g + 99, -d*b + 7*b = -5*g + 481. Suppose -g = -v - 4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*a - 730, 4*r - 24 - 715 = 5*a. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*x - 11. Let f = -2 + x. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219897 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.3000332 + -24.3. Round z to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 367*a + 41636. Determine x(-91).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkohhhnhxhhnnxxxnhh. Give prob of sequence xnx.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34099850 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/13, -4 in descending order.\nAnswer: 2\/13, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 317, 211, 111, 17?\n\"Answer: 3*z**2 - 115*z + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 1141?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 119000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by 6?\nAnswer: -91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = -34*w - 271 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*q, 2*q - 8 = 4*q. Does 10 divide 4009\/57 + (-2)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4820 - 4819. Put -3, f, -7, -4, 0.1 in descending order.\nAnswer: f, 0.1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 2. Let f be n(1). Let q = -2 + f. Is 25 a factor of ((-3)\/9)\/(q\/(-402))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1523418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -78. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*l - 661*l = 1196*l - 49071 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 11, -10.\nAnswer: -10, -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164*v**2 - 1235*v**2 + 3756*v**2 + 0 + 0 - 1195*v**2.\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 410 = -k, -2*i = 4*k + 373 - 2049. Suppose -k*z - 32784 = -424*z. Suppose 0 = -4*j + z - 276. Round j to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 9. What is y(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*q**3 + 55*q**3 - 114*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1606 and 37\/146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.469 - -0.001. Let w = 0.98 - a. What is w rounded to two decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 5*y - 13, -7*y + 5*y + 6 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -526, -772, -1002, -1210?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:47 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*0*3\/9. Suppose -2*l - 2*x + 6 = h, 3*l - 3*x - x = 37. Suppose -215 = -l*b + 2*b. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4 - 26*i**3 + 5538*i**2?\nAnswer: 24*i - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/451?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*w + 10 = 3*o, 0 = -o - 2*w + 19. Suppose -3*s - 49 = -257*f + 255*f, -5*f = -5*s - 135. Calculate the remainder when f is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - 21. Determine u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 473339819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1216) + sqrt(1216) + -1 + sqrt(1216))**2*-2 - -2*-1*sqrt(1216)).\nAnswer: -43780 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*o = -358, 22*p - 4*o + 346 = 27*p. What is the remainder when 1325 is divided by p?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 5) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3023 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*c + 2728 = -440*c - 23960 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-40))\/((-2)\/(-8))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 + 95602*n**2 + 13709613606*n.\nAnswer: n*(n + 286806)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 0*s**2 + 6*s**2 + 2*s**2 - 7*s**2. Let l(u) = -65*u**2. What is l(n(a))?\nAnswer: -65*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -6 (b) 39 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2208, -2275, -2386, -2541, -2740?\nAnswer: -2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 + 6*l**2 + 6*l. Let h(f) be the first derivative of -3*f**4\/2 - 7*f**3\/3 - 7*f**2\/2 + 6. Determine 7*a(z) + 6*h(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let o be -2 + (-2 + 2 - q). Let u = -115 + 115. What is the smallest value in u, o, -4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11567 - -11569. What is the third biggest value in 4, -2\/5, -2\/9, l, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2083 - 2071. What is the lowest common multiple of r and 1\/(4*(-5)\/(-240))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - s + 2*s. Let v(r) = -r**2 - 3*r + 5. Let f be v(-4). Let q be i(f). Solve -6*l = -3*l + q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 13*o**2 + 10*o + 28. Suppose -d + 14 = 5*g - 46, 2*g + 2*d = 24. Give k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/21 - -8\/105. Which is the third smallest value? (a) q (b) -4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*t - 19 = 0, -2*t + 9 + 7 = 3*g. Solve 5*s + g*d = -24, 2*d = 5*s - 2*d + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1948 divide 8995864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5046\/30 + (-232)\/(-290). Calculate the highest common divisor of m and 572.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420276 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + -30. Let g = i - -61. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let q(v) be the first derivative of -v**5\/30 - v**3\/3 + 4. Let d(h) be the third derivative of q(h). Determine d(b(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6802291679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, -33, -167, -383, -687, -1085?\n\"Answer: -x**3 - 32*x**2 + 45*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 11:14 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/8 + 5*u**3\/6 - 4*u**2. Let o(s) = s - 3. Determine 3*n(r) + 5*o(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 2. Let v be n(-3). Put 2, -3, v in descending order.\nAnswer: 2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvowtosbv. Give prob of picking 1 w, 1 v, and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + (0 - -1)*913\/(-83)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3521.297 grams in tonnes?\nAnswer: 0.003521297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -13\/22736 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -211*w**2. Let q(u) = -u**2 - 5977*u. Calculate q(j(c)).\nAnswer: -44521*c**4 + 1261147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 24*f**2 - 18*f**2 - 15*f**2 + 27*f**2 + 56*f**2.\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.4 (b) 0.1 (c) -1 (d) 1.41 (e) -540 (f) -5 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*x - 56*x - 56*x in the form z + g*x and give g.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2823*w**2 + 107*w + 2819*w**2 + 2818*w**2 + 17*w - 8456*w**2.\nAnswer: 4*w**2 + 124*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 1327 + 3*i**2 - 720 - 699 + 4*i**3 to y*i + f*i**3 + t*i**2 + z and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3347007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 1094*w**2 - 1105*w - 10923. What is o(-1095)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/2*4\/(-42). Let z = -10 - -8. Let y = z + -3. Sort r, 1, y.\nAnswer: y, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {r: 1, p: 3, n: 5, c: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*p**3 + p + 439 wrt p?\nAnswer: -60*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/2394)\/((-31176)\/(-32908))\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44249, 354027, 1194845, 2832221, 5531673, 9558719, 15178877?\n\"Answer: 44253*j**3 + 2*j**2 + j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v + 2*o + 48, -3 = v + 5*o. Let l = v - -33. Let b = 135 + -15. Calculate the highest common divisor of l and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 13 = -3*c + 17, -60 = 4*x - 5*c. Suppose 0 = -63*p - 16 - 47. Let t be x\/(p\/(-4) - 1). What is the greatest common divisor of 160 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18992 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5290*d - 6256*d + 3547*d as r*d + a and give r.\nAnswer: -7999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129836.\nAnswer: 2, 7, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10099425?\nAnswer: 3, 5, 7, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 14. Let h be n(-14). Suppose -22 = 2*r - r + 2*o, h = -4*r + 2*o - 98. Let g be 20\/24*r\/(-4). Solve l - g = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*i = -1, -z + 5*i = -5 - 12. Let c be (-5)\/(-2)*z\/10. Suppose 3*w - 5 = -2*w. Put -4, c, w in increasing order.\nAnswer: -4, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/30))**(-4\/3)*(z**(-3\/16)*z*z)\/(z**(-14)\/z) assuming z is positive.\nAnswer: z**(11113\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -1. Let c = 13 - v. What is the closest to 0.1 in 0.4, c, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(1 - -2)*(-26)\/(-39). Let t(q) = 80*q**z + q + q + 1 - 2 + 0. Is 9 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11e (base 16) to base 10\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjljl. What is prob of picking 1 l and 1 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2752\/5 + -550. What is the closest to -0.1 in c, -1\/5, 170?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, 2, 4, 3, -7 in decreasing order.\nAnswer: 4, 3, 2, -7, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152316402.\nAnswer: 2, 3, 7, 518083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 88, 146, 218, 310, 428, 578, 766?\n\"Answer: t**3 - 2*t**2 + 49*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(168\/(-120))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and -189.8?\nAnswer: 493.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/33863?\nAnswer: 1\/33863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4 + 8*g**3\/3 - 7. Find the third derivative of r(z) wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*r**2 + 87*m**2*r + 1492*m**2 + 4270493*m*r**3 - 22*m + 5*r wrt r?\nAnswer: -2*m**2 + 25622958*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 142 (c) -3.7 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/84 + ((-75)\/(-12) - 6). Which is the third biggest value? (a) 2 (b) -5 (c) h (d) -3 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33582, -67155, -100716, -134259, -167778?\n\"Answer: p**3 - 33580*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 8. Suppose 10*y = 5*y - m + 30, 0 = 5*m - 25. Calculate u(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + -6 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**7\/42 - v**6\/15 + v**4\/6 + v**3\/6 - 3*v - 3. Let c(u) be the first derivative of j(u). Factor c(t).\nAnswer: -t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22253 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/231 and 47\/363.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293897*j**2*y**5 + 7*j**2 - 2*j*y**2 - 5217*y**2 wrt y.\nAnswer: 17633820*j**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 61668, -5, -3, -4, 7.\nAnswer: -5, -4, -3, 1, 7, 61668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 67f72ee?\nAnswer: 67f72e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*c - 7*c - 5*q, 0 = -4*c - 2*q + 52. Let p be c\/(-4)*(-120)\/210. Sort p, 0, -2\/23, 2\/3 in ascending order.\nAnswer: -2\/23, 0, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4925249.23938 and 3.5?\nAnswer: 4925252.73938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 3, j: 3, l: 2, p: 5, c: 1}. What is prob of picking 1 c and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6017.7017 to the nearest 10.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.63 and -90.32.\nAnswer: -237.5416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = -10. Let q(o) = 4*o**2 + 0*o - 3 - 3*o**2 - 4*o. Let h be q(x). Solve -m = -0*m + 3*w - 4, -14 = 5*m - h*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258265046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - -1.11. Let u = 0.2 - r. Which is the second smallest value? (a) u (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7857263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6491.01 (b) 2 (c) 0.2 (d) -5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2226*f - 7028 + 7028.\nAnswer: -2226*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-three fifths of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28747, 28750, 28759, 28774, 28795, 28822?\nAnswer: 28855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/15 - -6 - (-4)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -29. Let i = 16 + z. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2720817904.\nAnswer: 2, 7, 17, 204143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1486 + -2?\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*s**2 + 349*s**2 + 30*s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - c - 6 = 0, -166*p + 163*p - 21*c = 108 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*w**2 - 4*w**2 - w**2)*((2 + 3 - 1)*(-3*w - 1 + 1) + 2*w - 4*w + w + 182*w + 250*w - 347*w) to the form u*w**3 + g + n*w**2 + o*w and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -123\/5. Let v = -2.7 - -0.7. What is the nearest to v in z, 2, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 3095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152, -180, -238, -332, -468, -652?\n\"Answer: -u**3 - 9*u**2 + 6*u - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 + 4*m + 3. Let q be ((-1920)\/45 - -45)*(0 + -3). Let t(b) = 4*b**3 - 3*b**2 - 13*b - 10. What is q*k(i) - 2*t(i)?\nAnswer: -i**3 - i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 33456*b + 69956496.\nAnswer: 4*(b - 4182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25997, 52031, 78085, 104153, 130229, 156307?\nAnswer: 182381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from pplppppppplp.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6720? (a) -4 (b) 1 (c) 2 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -44368 (base 13) to base 12\nAnswer: -5b661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6594686?\nAnswer: 2, 7, 41, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 2778 and 0.07.\nAnswer: 2778.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -2 (c) -4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6050*h - 5986*h = -896 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*r + 72*r + 127 = -310 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 55.2. What is the closest to g in 1, -0.3, 5, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58\/8 + 1\/(-4). Let v be (187\/(-51))\/(2\/(-12)). Let y = v - n. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/503886 and -133\/702.\nAnswer: 58954662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1122 + 1299. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 28*u + 10. Let c be z(14). What is the hundreds digit of 1325\/c*(-4)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:11 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104545 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n**2 - 2. Let c be h(0). Let d be 0 + (0 - 1) - 0. What is the units digit of (d + 0)\/(c\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 9*j - 95. Let l(d) = d**3 - 7*d**2 + 3*d + 2. Let t be l(3). Is a(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -127*c - 3. Let f(p) = -105*p - 4. Calculate 4*f(g) - 5*w(g).\nAnswer: 215*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 13*x + 5. What is the least common multiple of 22 and a(-13)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 574. Let s(n) = -12*n**2. Determine h(s(o)).\nAnswer: -48*o**2 - 574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5780\/25991 - -85\/1974. Find the common denominator of -7\/24 and l.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*d + 6*d - 497, 3*k - 312 = 4*d. Suppose 0*c + k = -5*c. Is 35 a factor of (21\/(-2))\/(((-14)\/c)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6661 = 3*y, 2*o + 8858 = -2*y - 2*y. Let l be 1\/4*y\/(-7). Let i(p) = -32*p**2 + l*p**2 - 24*p**2 - 27*p**2. Let n(q) = 9*q. Give i(n(v)).\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -3 - 8*(-12)\/24 - -1. Let f(i) = -9*i**2 + 0*i - 10 + 2*i**2 + 2*i + i**3. Determine f(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -3\/49961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**(-2\/3)\/t)\/t)**(1\/14))**15)**27)**(-9\/11) assuming t is positive.\nAnswer: t**(4860\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-5)\/(-10)*10. Let g(r) = 2*r**2 - 4*r - 8. What are the prime factors of g(m)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.5 - 20.93. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1504, -3325, -11374, -22643, -37132?\nAnswer: -54841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 0.0241102.\nAnswer: -0.000241102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 10530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 - 6*z**2 + 4. Give x(4).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhchccee. Give prob of sequence ehh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.04 (b) 0.09 (c) -39\/8 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from fojww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.042 + 0.042. Let m = 0.05 - -0.05. What is the nearest to p in 3, m, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2986, 2\/5, -1\/5, 1, -7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883479299.\nAnswer: 883479299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 24*o - 2808 = 0. Which is greater: 158 or o?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j**3 + j**2 + 2*j + 101. Let d(w) = -280*w**2 - 63*w - 63. Determine -63*a(h) - 2*d(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(2\/11)\/((x\/x**(-5))\/(x*x*x**(-2\/3)*x*x*x)))\/((x**(-2))**42)**41 assuming x is positive.\nAnswer: x**(113603\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5)\/(-35)*4\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 2*p - 1. Suppose 29*z + 28 = 25*z + l, 6 = z + 3*l. Let n(w) = w**2 - w. Give z*n(q) - 3*v(q).\nAnswer: -3*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*p + 17 = 2*w, 4*w + 63678 - 63707 = 3*p for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7666 is divided by 306.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 9:06 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 10*j**2 + 6*j - 17. Let q be t(-9). What is the third derivative of -22*k**2 - 13*k**4 - q*k**4 - k**3 + k**3 wrt k?\nAnswer: -552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3982844182?\nAnswer: 2, 19, 271, 439, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3800 and 3971?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -5*c**7\/21 + c**3\/2 - 16*c. Find the second derivative of w(t) wrt t.\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515620 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*g - 4*m - 4, 2*g + m = 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(51)\/(sqrt(15)\/sqrt(5)))**2)*-6.\nAnswer: -6*sqrt(17) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m\/m**(-2\/25)))\/m*m*m*m**(-1\/3))**11 assuming m is positive.\nAnswer: m**(1309\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfzr when four letters picked without replacement from {r: 2, g: 2, t: 4, z: 1, f: 2, l: 1}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 8*d**2 + 7*d + 3. Let m be i(7). Suppose -360 = b - m*b - p, -b + 4*p + 180 = 0. Suppose 0 = -4*g + b - 40. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 - 262*c**3 - 1524*c**2 - 3016*c - 2000 = 0. Calculate c.\nAnswer: -125, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 2836\nAnswer: -3\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*s**3 + 37*s**3 - 23*s**3)*(-2 + 2 + s).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 1, -4.\nAnswer: -6, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21982\/203 - 2\/7. Suppose -112*b = -u*b - 3556. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 - 7*g - 4. Let b be p(-7). Let a be 6\/(-28) - (-1)\/2. What is the biggest value in a, b, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(540\/25))\/(380\/57*2\/(-8)). Solve -5\/2*x - d*x**2 - 7\/3 = 0 for x.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 501296219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.4 - 1.4. What is the third smallest value in q, 1, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 503, -2, 7, 17 in decreasing order.\nAnswer: 503, 17, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:46 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/3 + 1948*r**3\/3 + 198318*r**2 + 54021344*r\/3 - 110438120\/3 = 0 for r.\nAnswer: -403, -170, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/10*4 + 42\/2. Let z = 24 - s. Solve z*u - 4*x = 2, 5*u + 3*x + 1 = -18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*t + 2*t - 2*p, 4*p = -4. Let q = t + -2. Suppose -q*r + 14 = 2. Solve 10 = -r*u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(594\/330)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13)\/5)\/(1\/29). Let v = -75 - c. Factor -6\/5*j**2 - v*j**3 - 2\/5 - 6\/5*j.\nAnswer: -2*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61925 minus 0.29?\nAnswer: -61925.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.6 + -17. What is the second biggest value in 5, 0.12, u?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.115 + 76.\nAnswer: 76.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 1. Let i be q(0). Let o be i\/(1\/51*3). Let l = o + -15. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74879 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: Solve -2*c - 2*o + 2 = -0*c, -3*o + 6 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -2.1 (b) 2568 (c) 4\/3 (d) 4 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)*b**4)\/(b**(1\/7)\/(b*b**(-3\/11))))\/((b*b**(-2))**(-40))**(-36) assuming b is positive.\nAnswer: b**(110771\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 - 2*j**3 + 790392*j**2 + 6335757*j wrt j.\nAnswer: -12*j**2 - 12*j + 1580784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -424\/4995 - -2\/185. Let l(g) = g**2 + 12*g. Suppose 2*w = 10*w + 96. Let n be l(w). Is n equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53129563?\nAnswer: 23, 41, 103, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose -b - 32 = 3*x + 4*b, -5*x = 3*b + 32. Let s = o + x. What is the closest to s in 1\/4, 4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02726 times 0.14?\nAnswer: 0.0038164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 12 = 9*f. Find u such that 0*u + 0*u**2 + 0 - 4\/9*u**f - 2\/9*u**3 - 2\/9*u**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5877 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 74\/3, -18.\nAnswer: -18, 0.5, 74\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -254814300 rounded to the nearest 100000?\nAnswer: -254800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3409 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 r = 230426.94943 + -230428. Let p = 0.53 + 0.52. Let h = p + r. What is h rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 461 + -1?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1902 - -3079. Let v = w - -156. List the prime factors of v.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2)\/w))**(-49)*w**(-7\/3)\/w*w**(-5) assuming w is positive.\nAnswer: w**(-613\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122033312 (base 4) in base 7?\nAnswer: -5240656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*o + 16*o + 7*o + (-14*o + 7*o - 34*o)*(6 - 2 - 2) + (-1 + 1 - 2*o)*(1 + 0 + 0).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34972*o - 16926 = 34538*o for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b446cb - 13?\nAnswer: -b446de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + -180 + 194.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2 - r**2 - r**2 - 2. Let i(c) = 5*c. Let n(q) = -9*q. Let h(m) = -11*i(m) - 6*n(m). Calculate t(h(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, g: 6, k: 6, q: 1}. Give prob of sequence gq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvp when three letters picked without replacement from {v: 3, g: 1, m: 4, j: 1, p: 3, f: 3}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1081*n**6 + 3*n**2 + 524*n?\nAnswer: 129720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9332*r - 8185 wrt r?\nAnswer: -9332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559 - 1796 = -5*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 5 - (63 + -23).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 131 + 43. Let i = 11314 + -11308. Calculate the least common multiple of y and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18056, -18059, -18062?\nAnswer: -18065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 30*n**2 + 2 - 37*n**2 + 5*n wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**6\/420 + a**5\/210 - a**4\/84 - a**3\/21 + 3*a**2\/2 - 1. Let h(s) be the second derivative of d(s). Factor h(y).\nAnswer: 2*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/(-132))\/((-4)\/(-6)). Let j = 91.1 - 94. Let t = j - -3.3. What is the nearest to -1 in t, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 23*j**2 - 25*j + 15. Let h be m(24). Let c(b) = -132*b + 39. Is c(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*x**2 - 324252035*x + 6973162.\nAnswer: (x - 3486581)*(93*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1015*n*s**3 - n*s**2 + 3*n*s + 2*s**2 + 19 wrt s?\nAnswer: 6090*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*l**4 + 252 wrt l?\nAnswer: -148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 307 + 58. Let d = 109 + g. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11267354.52 rounded to the nearest ten thousand?\nAnswer: -11270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/680 and 63\/155720.\nAnswer: 155720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + 4*l - 1. Suppose -6*y = -3*y + 96. Let w = 29 + y. What is the tens digit of h(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 373 = 316. What is the remainder when 358 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27*l + 53*l - 25*l - 6 - l**3 - l**3 + 16. Is x(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64913201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + q + q**3)*(3 - 3 - 1)*(-1 + 1 + 2*q) to p*q**3 + c + a*q**4 + t*q**2 + o*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4554)\/11385)\/((-2)\/4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3633070, 3633083, 3633114, 3633169, 3633254, 3633375, 3633538?\nAnswer: 3633749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/3 - 392660*h**3\/3 + 6675686*h**2\/3 - 21990760*h\/3 + 6806696 = 0. What is h?\nAnswer: -196347, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.17 - -4.17. Which is the smallest value? (a) 7\/127 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3884959 or 3884929?\nAnswer: 3884929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let j be 1 + 6\/(-3) - -10. Suppose 3*g - j + 0 = m. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116497 and 1164?\nAnswer: 1397964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one sixths of a day?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*i + 53*i - 37*i)*(0 + 0 + 2*i)*(-3*i**2 + i**2 + 12*i**2) + (1 - i**3 - 1)*(-2 + 2 - i).\nAnswer: -1059*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-48)\/12)\/(-6*(-6)\/(-27)). Suppose 0 = z*o + 5*k - 224, 51 = 2*o + 3*k - 100. What is the greatest common divisor of o and 2241?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**3 - 3*y**3 - 2*y**3)*(2*y + 2*y - 6*y) + (0*y - 2*y - 2 + 1)*(3*y - 3*y - 2*y**3) to q + a*y**3 + c*y**4 + o*y + w*y**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711888170.\nAnswer: 2, 5, 7, 1452833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**2 + 9888*u - 8147712 = 0.\nAnswer: 1648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 759\/121 - (-84)\/308.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/3)\/(1\/3). What is the third derivative of -336*j**6 + j**u + 322*j**6 - j**5 - 2*j**2 wrt j?\nAnswer: -1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017512 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11*i**2 - 5*i + 32. Let g(j) = 6*j**2 - 3*j + 16. Calculate 3*f(r) - 5*g(r).\nAnswer: 3*r**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 9*y**2 + 222*y - 20. What is k(20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 5. Determine z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**5 - b**4 + b**2 + b. Let c(m) = -310*m**5 - 5*m**4 + 1448*m**2 + 5*m. Let a(s) = c(s) - 5*k(s). What is the third derivative of a(p) wrt p?\nAnswer: -17700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 2, c: 3, x: 3, h: 2, r: 1}. Give prob of sequence rf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-11 - (-3 + -6 - -4)) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by 19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 16 = 4. Let t be 56\/h - 2\/(-6). Solve -t*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -878823 - 5\nAnswer: -878828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 28. Suppose -s*r - 3*p = 6, -r + 0*r = -p - 6. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1635 (base 7) in base 10?\nAnswer: -663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/61, 2, -2\/13?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 5, 6467 in ascending order.\nAnswer: 1, 5, 10, 6467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/308142 and 5\/1454.\nAnswer: 224019234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/69650088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1013*n + 25 + 1013*n - n**2 to the form i*n**2 + w + h*n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/(-6))\/(7\/(-21)). What is the lowest common multiple of (n\/(-5))\/(4\/(-10)) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1453176396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*n - 45 = 0, 3*m - 2*n - 115 + 15 = 0. Let w = 27 - 17. Calculate the greatest common divisor of m and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1508794, 18 in ascending order.\nAnswer: -1\/2, 18, 1508794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 71 - 9. Let a be (-97 + 3 + -1)*16\/p. Let q = a - -77. Let c(w) = -2*w**2 + 4*w + 2. Let d(x) = -x**2 + x + 1. Give q*c(h) - 3*d(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(2\/9))\/p)\/p*p)**(-5\/8))**(-4\/11) assuming p is positive.\nAnswer: p**(5\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -69*-27*(-34)\/(-2754)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 902 - 449. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*f**2 - 370*f + 1527*f - 371*f - 376*f - 410*f.\nAnswer: 183*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 0)\/(7\/14). Let i = -2 - l. Solve -4*u - 6 = -6*u, i = 3*c - 3*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 153?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212*9.218.\nAnswer: 1954.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8985 or -10059?\nAnswer: -10059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26206, -52048, -77890?\n\"Answer: -25842*r - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 60.8. Which is the closest to j? (a) -3 (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5)*(-32)\/32.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 252, 376, -5, -6, 17 in decreasing order.\nAnswer: 376, 252, 17, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + 543\/12. Suppose -6*r = -r - 55. Let y = -2 + r. What is the greatest common divisor of y and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-1 - -25) + (-329 - -350)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62138 (base 10) in base 4?\nAnswer: -33022322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 2*y**2 - 2*y**2 - 4*y**2 + 0*y + 0*y + (-y - y + 5*y)*(2*y - 5*y + 7*y) - y**2 + 3*y - 3*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 8. Let t = 21 - g. What is the least common multiple of 14 and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -0.03 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/17 + 14030*m\/17 + 9064.\nAnswer: 2*(m + 11)*(m + 7004)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61791*x**3 + 11*x**2 - 20*x - 687800943?\nAnswer: 185373*x**2 + 22*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptpt. Give prob of sequence ttp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19873343 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/16 and (1\/2)\/((-11)\/(-67)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/32)\/((-6)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 = -2*f, -4*f - 29 + 3 = -3*a. Solve -a*l - 7 = -w + 6, 0 = 4*l - 3*w + 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(1573) + -2 + 0 + sqrt(1573) + -5*sqrt(1573)*3)*1)**2.\nAnswer: 14300*sqrt(13) + 6646020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18789100 rounded to the nearest ten thousand?\nAnswer: 18790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.71002664 to 2 decimal places.\nAnswer: 2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 644 and 7740?\nAnswer: 1246140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*k + 6*k. Solve 21 = 4*s + k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 98, 156, 176, 122?\n\"Answer: -6*q**3 + 35*q**2 - 3*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 4589634?\nAnswer: 4589614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1211021110000?\nAnswer: -1211021110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**40\/z*z)\/z)\/(((z*z**(1\/8))\/z)\/z)*z*z**24*z**(5\/8) assuming z is positive.\nAnswer: z**(131\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.9. Let x = -59675.1 - -59675. Which is the nearest to v? (a) x (b) -5 (c) 0.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d + 72*d = 3*c - 8, -5*c + 4*d = -16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4144?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 4*u - 3*u - 5*u**4 + 2*u + 3*u to the form p*u**4 + q*u**2 + i + m*u**3 + r*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 93135?\nAnswer: 1024485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24766 is divided by 192?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g, d + 7*g - 6 + 3 = 11*g - 6*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/((m**(-9)*m)\/m))*m)\/(m\/(m\/m**(1\/2)*m)) assuming m is positive.\nAnswer: m**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2 + 8. Let r(c) = 3*c. Calculate b(r(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.12, 17 in increasing order.\nAnswer: -2\/9, -0.12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 579247662 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 11. Let j be -1 + (-2)\/(a\/(-27)). Let g = j - -47. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*-3*sqrt(77)*-2)\/(2*(4*-2*sqrt(112) + sqrt(112) - sqrt(112))).\nAnswer: -9*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65683622 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 95089030 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*g + 5*p - 21, -2*g + 16 = -5*p. Solve -3*y = y - 4*v - 16, v = -3*y - g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -710 - -703. Let i = w - -159. What is the remainder when i is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32.471 and -100715.451.\nAnswer: -100747.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b**2 + b. Let r(m) = -10*m**3 + m**2 + m + 1. Let j(x) = l(x) + r(x). What is the units digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = o + 2, -5*j + 41 = 4*o. Let b(y) = y**3 + 10*y**2 + 9*y + 5. Let h be b(-9). Solve 4*g - h*q = j*g + 5, 0 = -3*g + q + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 8*w**2 + 2*w - 4. Let x be b(4). Suppose -m + 4*p = -14, -3*m + p = -3*p - 10. Let h be (-35)\/x - m\/(-8). Is 0 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**7\/2520 - u**6\/360 + u**5\/60 + u**4\/8 - 2*u**2. Let b(z) be the second derivative of r(z). Calculate b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/a*a*a)**(-19)\/((a*a\/(a\/a**(-1))*a*a)\/((a*a\/a**(-3))\/a)) assuming a is positive.\nAnswer: a**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(sqrt(13) + 1)**2.\nAnswer: 8*sqrt(13) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -10 + 5 + -6 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 60*y**3 - 96*y**2 - 240*y + 432.\nAnswer: -3*(y - 18)*(y - 2)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7747.872 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1 - 0 - 2). Suppose -8 - 2 = j*k + q, -2 = k - q. Let c(y) = 8*y + 8*y + 4*y**2 + 3 - 6*y**2 - 53*y + 2*y + 32*y. What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420210523.\nAnswer: 420210523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 7 = 2*v, -4*v - 2*l - l = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 1. Let r be ((-13)\/13)\/((-2)\/198). Let q(p) = 2*p - 111*p**2 - 3*p + p**3 + 5 + r*p**2. Let t be q(12). Give y(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3569*h**3 + 1184*h**3 + 1196*h**3 + 1193*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2077\/22484 - 3\/2044. What is the third biggest value in p, 5, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 56*x - 14. Let l be q(4). Let f = 295 - l. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161115055?\nAnswer: 5, 32223011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:24 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*o**3 - 3*c**3 - 2*c**2*o**3 - 41*c**2*o**2 - 3*c*o**2 + 6*c + 21009*o**3 + 3 wrt o.\nAnswer: 6*c**3 - 12*c**2 + 126054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -553917?\nAnswer: -553917.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 4780*h**2 + 9 - 29 - 1293*h**2 - 399*h**2 + 20*h. Let m be q(-5). Round m to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-3) + (-12)\/(-18). Let b = f - -4. Suppose -n = -8 - 10. Calculate the lowest common multiple of n and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41\/5 - -97\/10. What is the nearest to 0 in 6, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 149464.\nAnswer: -2\/18683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let l = s + 16. Solve 3*q - 4 = q + 3*t, 3*q - t - l = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0642 - -4.0742. Let k = -4 + y. Let b = 4.99 + k. What is the third biggest value in 0.4, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28182 (base 10) to base 15.\nAnswer: -853c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 13313?\nAnswer: -13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s\/((s*s*s*s**(-2\/5)*s)\/s*s)))**4)**(2\/149)*(s\/(s*s*s**(1\/6))*s*s\/(s*s*s**1)*s*s)**35 assuming s is positive.\nAnswer: s**(-25691\/4470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5946374, 5946186, 5945872, 5945432, 5944866?\nAnswer: 5944174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j - 9. Let r be v(-11). Is r greater than or equal to 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -58*s + 10. Let t be h(-3). What is the highest common factor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(3640\/(-1456))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -535.017?\nAnswer: -535.017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128881315*b**3 - 119284745*b**2.\nAnswer: 773287890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 280?\nAnswer: -1\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 18. Let x(j) = -52*j - 40. Calculate w(x(t)).\nAnswer: 364*t + 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11117\/37521 + -935941087\/90350568. Let h = u + 392\/43. Let q = 111\/14 - 24\/7. Find the common denominator of h and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81 plus -0.124?\nAnswer: -0.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.83 - -1.73. Let u be (-6)\/(-12) + 306\/8. Let i = 39 - u. Put i, q, 3 in increasing order.\nAnswer: q, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - -1010022022201?\nAnswer: 1010022100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9 - 10*b**2 - 4*b**2 + 9. Let k(q) = -716*q**2. Calculate k(a(x)).\nAnswer: -140336*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1\/2*j**2 + 5*j = 0. Calculate j.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -23. Suppose 0*s + q = -2*s. What is the least common multiple of 10 - (2 + s)*3 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 9. Let w be z(-4). Suppose 4*d = -3*x + 31, -5*d - 6 + 51 = w*x. Suppose x*k + 181 = 3116. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -82*a**5 + 43*a**2 - 7*a + 7. Let k(p) = 55*p**5 + 5*p - 11 - 29*p**2 + 3 + 3. Let b(t) = 7*k(t) + 5*y(t). Find the third derivative of b(x) wrt x.\nAnswer: -1500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2*(d*(d\/d**(-12)*d)\/d)\/d*d assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23864605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/3453185 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 179352 at most as big as 179350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -359*x + 749. What are the prime factors of n(-22)?\nAnswer: 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3412 - -7.4. Let k = -0.98 - -1.04. Let i = k - x. Round i to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let x be 4\/(-14)*3\/s. Let h = -159932 - -159932.07. What is the nearest to 2 in x, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-35)\/(6090\/(-5713)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 - 2*y. Let r be (-210)\/(-98) + (-1)\/7. Give k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 5) in base 2?\nAnswer: 10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15564681239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-35)*((-10)\/46)\/(1095\/8395)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 14. Let y(w) = 49*w**2 - 24*w**2 - l*w**2. Let c(s) be the second derivative of 13*s**3\/3 - 110*s - 1. Give y(c(j)).\nAnswer: 676*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4840 divided by -22645\nAnswer: 968\/4529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 20. Let r(u) = 25 - 2*u**2 - 44 + 19. Determine b(r(h)).\nAnswer: -4*h**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f + 5. Determine b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -119896320624 and 2.174.\nAnswer: -119896320621.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 402 - 641. Let b = s + 1026. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 20 = 5*x, -x = -3*c + 16. Suppose 2*p = 2*b - 48, c*p - p = -4*b - 93. What is the units digit of (p\/12)\/(2\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 1446, 3358, 6128, 9810, 14458, 20126, 26868?\nAnswer: 34738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.026, -1.1, 7530.2?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -679 and -6253.\nAnswer: 4245787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 16*j = 4*n + 58, 33*j = -5*n - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = 18*c - 509809. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -36215*v + 5. Suppose 4*t = 5*o + 19, 2*t - o + 2 = 13. Let r be f(t). Let k = -107285 - r. What is k rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 448432992, 448432991, 448432990, 448432989, 448432988, 448432987?\n\"Answer: -i + 448432993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 583730925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -12*u + 213. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/33996764 and 145\/12.\nAnswer: 101990292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 24 = 3*n, 19*n - 2*o - 126 + 192 = -120 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:29 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37\/7 - (-16)\/(-56). Suppose 85 = 5*p + d*h, -p + 3*h = -5*p + 69. Is 67\/4 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1800358 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i - 13. Let z(n) = 10*n**2 - 2*n + 26. What is 3*p(d) + z(d)?\nAnswer: 7*d**2 + d - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 835723 and 756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -296657 or -296652?\nAnswer: -296652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7906 and 4356.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1 (b) -1\/5 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s**3\/9 + 527*s**2\/3 - 853*s\/9 + 38\/3 = 0.\nAnswer: -57, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/80)\/(87\/(-58))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or 8443\/115?\nAnswer: 8443\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30064548.\nAnswer: 2, 3, 2505379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 449, -2\/11, 2\/7?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1 + (-3 + 2 + 4)*(-2 + 1 + 4))*(4*q**2 + 0 - 4 + 6)*(2*q - 3*q**2 - 2*q).\nAnswer: -120*q**4 - 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*s + 481*s = 0. Which is the closest to s? (a) 5 (b) 0.45 (c) 0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269219620 to the nearest integer?\nAnswer: 16408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 11*k = -36. Suppose -k*r - c = -72, 9 = -4*r + 4*c + 101. Let q = 323 - 152. Calculate the greatest common divisor of q and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1. Let o(n) = 21*n**2 + 18*n + 9. Let p(c) = -5*g(c) + o(c). What is the tens digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230533333 (base 6) in base 5?\nAnswer: -2041230320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r + 2. Determine l(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 234*c - 2491. Determine l(12).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21279, -3, -5, -1, -453.\nAnswer: -453, -5, -3, -1, 1, 21279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -977*d**3 - 103*d**2 - 747*d - 7. Is v(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527132 is divided by 289.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h. Let z(s) = -3*s + 1. Let n(f) = -16*f - 10. Let m(l) = n(l) + 12*z(l). Determine r(m(u)).\nAnswer: 260*u - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*h = 337*h + 2673. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264 + 262. Is 5 + 10682\/10 + g\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.043 - -0.343. What is the closest to 4 in 5, -0.3, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {q: 3, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.8. Let r = 0 - n. Let o = 21 - 20.5. Which is the third biggest value? (a) 2 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*u - 5)*(-3 + 3 - 1) + (-6 + 2 + 2)*(-2*u + u + 3*u) - 3*u + u + 3*u + 2*u - 6*u - 13*u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5 = 0, -3*o + 5*o - 2*q - 18 + 7 = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1893 - -1883.59. Round s to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*t + 71*t + 7204 = -1976 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85 in -3\/7, 14.5, 4\/7, 1\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 4. Suppose -5*y + 9 = 2*n - 8, -7 = 5*n - 4*y. Let v be (-6)\/(-2)*n + -9. Determine z(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23723\/33123 + -6\/181. Let h = -1\/61 + t. Let v = 2.3 + 0.7. Which is the second smallest value? (a) v (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66178 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-2 - 0\/(-3)). Suppose 0 = -2*x + 2, -7*x = v - f*x - 11. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, j: 3, x: 1}. Give prob of picking 2 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 99037 = -22035. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 7. Let a be p(5). Let d be a\/((-2)\/1) - 2. Let i = 9 + d. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) -11.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -i - 2*k, 3*i - 16*k - 15 = -11*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1 + 4\/(-2). Let l(b) = -4*b + 2. Let n(z) = 3*z - 1. Let x(u) = -2*l(u) - 3*n(u). What is the units digit of x(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1255, 2507, 3759?\nAnswer: 5011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 55. Which is greater: n or -5.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -28*y**2 + 205*y + 1. Give c(7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229\/4 + -57. Which is the closest to m? (a) -0.2 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 5*n - 6. Suppose 30 = 5*f + 5*t, -3*f = 2*f - t - 24. Let q(l) = -l**2 - l - 1. What is f*q(x) - w(x)?\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-12)*(-6)\/(-20))\/((-7044)\/36). Are a and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*q = 28, 9 = -i + 3*q - 0. Let y(b) be the third derivative of 0 + 0*b - 2*b**2 - 1\/6*b**3 + 1\/12*b**4. What is y(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 18, 27, 36, 45, 54?\n\"Answer: 9*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:31 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1841 divided by -263.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Suppose -4*l = -3*d + 62, 18 + 0 = 2*d + v*l. What is the highest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 71 = -d + 2*k, 2*d - k = 154. Let b = d + -185. Let v = 133 + b. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 8 - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9.55. Let b = i - 0.05. Let q = -0.165 - 0.835. What is the third biggest value in b, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + -5 + 1 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*d*f*n**2 + 11*d*n**2 + 77*d + f*n**2 - 145516*n**2 wrt d?\nAnswer: 18*f*n**2 + 11*n**2 + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 6*q**2 - 6*q - 7. Let p be u(-6). Let i = p - 12. Calculate the remainder when 31 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*r = 70, a - 15*r + 11*r = 29. Let q(x) = -31*x + 2 - 5 + 0 + a*x. Give q(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56.99895 + 57. What is i rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 2273163.\nAnswer: -3\/757721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/10 + 2*w**3\/15 + 2*w**2\/5 - 9. Solve d(p) = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3134 - -3136. Factor -4\/3*l + 16\/3 - 2\/3*l**k.\nAnswer: -2*(l - 2)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21613 + -1037353\/48. Calculate the common denominator of y and (-19515)\/13860 - (-4)\/22.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559\/178 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 20865.44 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -20. Suppose -2*w + 0 = -r. Let g(p) = 11*p**3 - 2*p + 1. Let f be g(1). Solve -f - w = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {e: 4, d: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/12)\/(105\/7)*(-4272)\/9612.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*p**3*q**3 + 126*p**3*q + 299*p**2*q**3 - 5*p**2*q - p**2 + q**3 - 17*q wrt q?\nAnswer: -42*p**3*q + 1794*p**2*q + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/7 + 108*l**2\/7 + 213*l\/7 + 318. Let s(m) = 0. Calculate m.\nAnswer: -71, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 192. Let v be (256\/224)\/(4 - (-61)\/(-7) - -5). Suppose 0 = -v*z + n + 123. What is the greatest common divisor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35106 (base 7) to base 2.\nAnswer: -10001100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 23*a**2 - 5*a. Let v(d) = 81*d**2 - 18*d. Let j(r) = 18*i(r) - 5*v(r). What is the units digit of j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/6)*r*r*r**(2\/3))\/(r**(-7)\/r**(2\/17))*(r**(5\/4)\/(r\/(r*r**(-3\/2))))**47 assuming r is positive.\nAnswer: r**(-77\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 10:57 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -74.1.\nAnswer: -74.1, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8607884 rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21491, -42984, -64477?\n\"Answer: -21493*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83975 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(2 - -2 - 26\/4). Suppose 48 = 6*y - 3*y - 2*x, -s*y + 64 = 2*x. Let j be (-60)\/y*(0 + 70\/(-15)). Solve -4*d + 9*d - j = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-7*-3*4\/28).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let w(c) = -3*c - 2. Let j(z) = -4*s(z) + w(z). Let k be j(5). What is p in 3*p**2 - k*p**4 + p**3 + 6*p**3 - p**3 - 6*p**5 = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 10, 16, 24, 34, 46?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 49*h**5 - 4945346*h**4 + 7064677*h**3 + 302792*h**2 - 2018476*h - 403696 = 0.\nAnswer: -2\/7, 1, 100924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (-8 + 4)) + -5 + -9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 0)*(821 + 2008*w - 2006*w - 62) - 2*w - 3 + 3)*(1 + 5 - 3) to l*w + r and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63907511 to the power of 1\/2, to the nearest integer?\nAnswer: 7994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137401323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/15)\/(12\/90).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7433145 rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 195*r + 49. Let o be x(4). Let l = -11609\/14 + o. Which is the second smallest value? (a) -10 (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 32763, -5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 90*w**2 + 4*w - 8. Is 8 a factor of u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Calculate the smallest common multiple of n and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 39. Let b be m(19). Suppose b = -k, 6*l - 7*l + 3*k = -7. Differentiate -2*x - l*x + 22*x + 15 - 10 with respect to x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*o - 6*o + 26591 = 0, -4*i - 26596 = -4*o. What are the prime factors of i\/(-16) + 15\/20?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 633954267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - -6. Let u(z) = 4*z**3 - 3*z + 3. Let w be u(2). Let t = w - k. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -507717445\/320748 + 15\/53458. Let n = 1584 + s. What is the common denominator of 53\/88 and n?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*j*u - 3*i*j - 1300*i + j + 1679*u + 29 with respect to i.\nAnswer: 2*j*u - 3*j - 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v. Suppose d = -4*a + 6, -d + 12 = 2*a - 5*d. Let p(z) = -3*z**2 + 5*z**a - z**2. Give p(g(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*o + 5*t - 14 = 336*o, 0 = -4*t + 4. Which is the fifth biggest value? (a) -2\/9 (b) -0.4 (c) -5 (d) 4\/9 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 1 + sqrt(500) + (-1 + 2*sqrt(500))**2).\nAnswer: -30*sqrt(5) + 2006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - g**3 + (15*g**2 + 56*g - 56*g)*(16*g + 21*g - 16*g))*(-4*g + 2*g + g) as v*g**3 + u*g**4 + a*g**2 + j + d*g and give u.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193671?\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 803288 + -558715. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d = -44. Let q be 5 - (1 + 8\/4). What is the derivative of -r - r - 28 - q*r + d wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 13337173306.4401.\nAnswer: 13337173306.0401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (-1 - (6 - 11)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5320*v - 11514?\nAnswer: 5320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301198 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*j - 2, -j - 4*j = -3*a + 45. Is ((-6568)\/12)\/(j\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 20 - (-47 + 19).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(3 + 20\/(-8)). Let v be (3192\/h)\/((-1)\/(-3)). Let r = v - -981. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228 + -145. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let v(w) = -3*w + 2. Let d(i) = -2*h(i) - v(i). Let b(q) = 5*q. Give b(d(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 10*n = -r - 8, 5*r + 2 = 4*n. Suppose -180 = 2*b + 3*b. Let m = r - b. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, n: 2, p: 4}. Give prob of picking 1 d, 2 p, and 1 n.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 5:08 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 117, 450, 1005, 1782, 2781, 4002?\n\"Answer: 111*i**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 5)*(-2 - 2 + 3)*(8 - 4 - 10)*(4*m - 5*m + 0*m) - 3*m - 4*m + 5*m in the form a + v*m and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 8*o**2 + o - 4. Let s be g(-8). What are the prime factors of 2\/4 - 78\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4327047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1)\/(((-36)\/(-336))\/((-18)\/(-120)*5))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*-2*(sqrt(117)*2 + -3)*-1)**2.\nAnswer: -144*sqrt(13) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 126\/19?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117)*-3 + -3 + 2*sqrt(117)*-1))**2*-3.\nAnswer: -220050 - 6750*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 14. Solve 5*x + 0*x + 20 = 3*d, -3*x + 5*d = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 402546243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3979*a - 4061*a + 2542 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-156)\/(-1) - (2 - 1)*-4. Suppose 4*k = 5*w - 31, -5*w + 13 + 2 = 0. Let y be k + (3 - 2) - -35. What is the greatest common factor of y and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/192)\/(640\/(-15)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 3*s**2 - 7*s - 5. Let r be q(-4). Let t be r + (2 - 8 - -3). Let m be 1\/4 - t\/16. Solve -21 = -h - m*v, 9 = 4*h - 3*v + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w. Suppose -m - 4*m + 65 = w. Solve 5*b = -5*g + 14 + 1, 3*g - b = m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, 4, -1\/7 in ascending order.\nAnswer: -0.3, -1\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-177)\/(-590))\/((14\/105*18)\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -72 (b) 53 (c) -2 (d) 0 (e) 3\/5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v*z**3 - v*z**2 + 3129618*v*z - v - 305472*z**3 + z wrt z.\nAnswer: 6*v*z - 2*v - 1832832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56 (b) -0.02 (c) -7 (d) 5 (e) 1.9 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 15*a**2 - 3*a - 22. Let f be x(11). Suppose 444 + f = 3*o - 3*c, -o + 3*c = -287. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141196, -141193, -141188, -141181, -141172?\n\"Answer: f**2 - 141197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -29 + -26 + -19 - (7 + (-1 - 3))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 - -637. Suppose -5*l = -r - 526. Calculate the highest common factor of l and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 205*d = 202*d - 6, 30 = 5*k - 5*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -2435265?\nAnswer: 2435266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + o)*(11*o - o - 3*o)*(-o**3 + 0*o**3 + 2*o**3).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38d - -3d077?\nAnswer: 3d426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -32*u. Let x(p) = 273*p. Let n(t) = 42*c(t) + 5*x(t). Let o(s) = -10*s**2. Determine o(n(q)).\nAnswer: -4410*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 214939 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6))**(-2\/23)*((r*r**5)\/r)**40 assuming r is positive.\nAnswer: r**(13799\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - z + 644 = 2*z, -12 = -4*z. Let v = 135 - b. Suppose r = -r + v. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n - 4. Give x(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+134051\nAnswer: 134051.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 1825 + 105. Suppose 5*s = 15, -103 = 5*d + s - q. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 - 342 = 23*z - 432 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - 201 - -122) + (-5 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-3)\/9. Let b be 2\/m + 3 + 5. Suppose b + 4 = 5*d - 2*g, -5*g = 4*d - 41. Solve -7*x - 19 = -2*x + d*t, 0 = -2*x - 3*t - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k. Let f(b) = -4*b**2 - 8*b + 159. Calculate f(t(r)).\nAnswer: -36*r**2 + 24*r + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3875*k**2. Let y(q) = 2*q**2. Calculate p(y(l)).\nAnswer: 15500*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15692 is divided by 993?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 7*j**3 - j**2 + (-4*j**2 + j**2 - 5*j**2)*(-j + 0*j - j) - 6*j**3 - 2*j**3 + 4*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 109 + 243. Suppose 0*r - w = -2*r. Suppose 4*k - 4*i = -8*i + r, -3*k + 5*i + 41 = 0. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908573031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 112*d + 1014. Let c be u(-9). Calculate the highest common factor of 2229 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(1\/3)*d*d**(-2\/37)*(d\/d**1*d)**(2\/93) assuming d is positive.\nAnswer: d**(5623\/3441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 33, -150, -2, 43, 6 in descending order.\nAnswer: 43, 33, 6, 4, -2, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Let p be n\/((-9)\/(-3)) - 0. Let k(u) = p*u - 4 + 3 - 36*u**3 + 41*u**3. Calculate k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 777 + -444. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -40\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11399, -22789, -34179, -45569, -56959?\nAnswer: -68349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26502334 (base 7) in base 12?\nAnswer: 996981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9334?\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 71 + 77. Suppose b - 414 = -2*y - 3*b, 630 = 3*y - h*b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2775, 2465, 1941, 1197, 227?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/20*(-95)\/38?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2789220 or 2789215?\nAnswer: 2789215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, g: 3, n: 3, a: 3}. What is prob of picking 1 g, 1 y, and 2 a?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6*j**2 - j + 3. Let h be -3 - (-1)\/((-1)\/(-9)). What is o(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 12*w + 1. Let x be y(9). Let d = x + -16. Suppose 3*t - z - 35 = 0, -d - 53 = -5*t + 5*z. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(2\/(-4) - 0). Let t = 21 + -22. Let d = t + 17. What is the highest common factor of d and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 + 2499\/9 - 4. Is 20 a factor of z + -11 - 3\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*m - 8*m. Let c(k) be the third derivative of 1\/540*k**6 - k**2 + 0*k**3 - 1\/108*k**4 - 1\/270*k**m + 0*k + 1\/945*k**7 + 0. Solve c(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-19 - (-29 - -2)) + -12 + (0 - 4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2604 and 5510064?\nAnswer: 5510064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (-17 - -71 - 53).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 231528372 divided by -331228\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 21*q**3 - 10*q**2 - 12*q - 50. Let p(f) = 2*f**3 - f**2 - f - 3. What is -22*p(l) + 2*t(l)?\nAnswer: -2*l**3 + 2*l**2 - 2*l - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Suppose -d*o + 80 = -o. Factor -o + 3*w**2 - w + 7*w + 31.\nAnswer: 3*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125, 247, 381, 533, 709, 915?\n\"Answer: r**3 + 115*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81782977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057119440 a multiple of 691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(24 - 6*m - 21 + 4*m) + (3 - 6 + 2)*(-m + 0 + 0 + (1 + 0 + 0)*(m + 3*m - 2*m) - 2*m + 3*m + m - 2*m + m + 6*m + m + 2 - 2).\nAnswer: -7*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/4 + 7*o**3\/6 - 11*o**2. Find the first derivative of x(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 224*o**2 + 2 + 3*o + 23 - 49 to q + a*o + c*o**2 and give c.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -29 + 36 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 14392?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 1848?\nAnswer: 13\/1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 11*f**2 + 49*f + 269. Give o(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 5*t**3\/6 + t**2 + 9*t. Let w(u) be the second derivative of -2*u**3\/3 - u**2\/2 - u. Determine 2*p(y) + 3*w(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99820731.\nAnswer: 3, 33273577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 4\/3 (b) -0.3 (c) 0.4 (d) -5.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/60)\/(((-5700)\/250)\/114)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17.3 and -24841.39.\nAnswer: -24858.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49337 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - sqrt(88)\/(sqrt(24)\/sqrt(3))) + sqrt(99)*2)*3)**2 + 3.\nAnswer: 3567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coxxoooxcscoxsopxx. What is prob of sequence xs?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -556 by -4.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-9))\/(8\/(-36)). Suppose 0*x + o*x = -6, 4*x - 4 = -3*j. What is the third derivative of j*m**4 - 3*m**4 + 0*m**4 + 5*m**2 - 2*m**2 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-37 - (-2 + 2))\/(-11). Is -2 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613075999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 661.3 - 780. Let c = -119 - d. Sort c, -90, 2\/9, 2\/19 in descending order.\nAnswer: 2\/9, 2\/19, c, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (-1 - -10)*1. Solve 0 = 5*s - 9 + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*s + 3. Let f(k) = k**2 - 6*k - 3. Let g be f(-2). Solve 2*n - s*d - 6 = 0, 5*d - g = -3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7833539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074455441 to 5 decimal places.\nAnswer: 0.07446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1733849 and -0.2?\nAnswer: -346769.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -2 + (11 - 6) + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)\/n)\/((n\/(n*n**(-1\/5)))\/n) assuming n is positive.\nAnswer: n**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184611230.\nAnswer: 2, 5, 18461123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16062947 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6018 and 8420598.\nAnswer: 143150166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28\/207 - -3403\/11385. Let i = 84\/11 + d. Let w = -1295\/152 + 36\/19. Calculate the common denominator of i and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.94 + 4. Let u = -0.34 - m. Let d = -62 + 62.5. Which is the biggest value? (a) -0.2 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 6:20 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 12*g**2 - 13*g - 4. Suppose 0 = -2*j - 2*h + 16, h + 36 - 5 = 2*j. Let o be j + (-2 - 14\/(-7)). Determine z(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/2 (b) 128\/5 (c) -73 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 4446*z**2 + 17823*z - 13374 = 0. What is z?\nAnswer: -1486, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbnbttttnbgttbdt. What is prob of picking 1 d and 2 g?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 != 4655867\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + 32\/55. Let y be 22\/33*(-6)\/16. What is the closest to y in 4, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(150) + sqrt(150) + -2*sqrt(150)*5 + sqrt(150) + 5*2*sqrt(150))\/((sqrt(300) + sqrt(300)*-2)*-5).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 + x + 5. Let o be h(0). Suppose -3*t + 4*t = 2. Solve -g - o = -i, t*g = 4*i + 4*g - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7*12)\/((-2247)\/(-10486))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/5)\/((-5)\/(-25)). Suppose 4*v - 24 = 3*f - 7*f, -f = 2*v - 8. Sort 8, f, q, 2.\nAnswer: q, 2, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1761, 0, 295 in descending order.\nAnswer: 295, 2\/1761, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/4)\/((-7)\/21*-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 - -137. Which is greater: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*s - 24 = 0, 2*s + s - 15 = 0. Suppose 2*a = -y*a + 20. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-6)\/33)*2. Let x = -6 - 3. Let l = x + z. Sort -0.3, 3, l in descending order.\nAnswer: 3, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2365820, -4731635, -7097454, -9463277, -11829104, -14194935, -16560770?\n\"Answer: -2*y**2 - 2365809*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 14 + 58. Suppose 6*c - 2*c - p = 0. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -593 - -678. Let u = j + -58. Is u at least 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.11 and -656.12?\nAnswer: 4665.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5933a (base 12) to base 6.\nAnswer: 2322114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 185972, 744713, 1675948, 2979677?\n\"Answer: 186247*y**2 - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 8*q + 4. Suppose 0*f - 3*n = -2*f - 50, 49 = -3*f - 2*n. Let y = 11 + f. Let k be l(y). Put 5, k, 1 in descending order.\nAnswer: 5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((48627\/(-6))\/9)\/(8\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/155033874 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.15288 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**5 + 10*r**4 - 69*r**3 + 10*r**2 + r - 392 wrt r.\nAnswer: 180*r**2 + 240*r - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1212927 - -5\nAnswer: -1212922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**2 + 9*y**2 + 1 - 2*y - 8*y + 6*y**2. Let c(t) = -2*t - 1. Let k be c(-6). What is the lowest common multiple of 20 and p(k)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 3*j**2 + 4*j**2 + (j**2 - j**2 + 2*j**2)*(37 + 861 - 123) in the form x*j**2 + i + o*j and give x.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1738.4 - -1584.94. Let c = g - -152. What is c rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 1713, 3938, 7051, 11052?\nAnswer: 15941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 1:48 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920837 is divided by 836?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3082005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2867, -2386, -1583, -458, 989?\n\"Answer: 161*f**2 - 2*f - 3026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 227, 376, 721, 1340, 2311?\n\"Answer: 13*g**3 + 20*g**2 - 2*g + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1640 + -1440. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -12 + 5\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 5*u - 108 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/117 + 6229\/234. Let i be 3 - 7\/((-21)\/6186). Let s = i + -12439\/6. Find the common denominator of s and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-77)\/(-15) + 20\/(-150). Suppose 0*j - a*j = 110. Let p = 26 + j. Solve -5*d + 12 = -3*r, 3*r = p*r - 4*d + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 + r**2)*(3*r**2 - 2*r**2 - 3*r**2) + 2 - r**4 + 3*r**2 - 3*r**2.\nAnswer: -5*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88993, 177994, 267027, 356110, 445261, 534498?\nAnswer: 623839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/16)\/((-40)\/(-320)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-4))\/(((-503)\/3018)\/(4\/(-6))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + h - 21, -r - 4*h - 8 - 3 = 0. Suppose 0 = r*k - 27 - 113. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.24 (b) -4 (c) -961\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + 1 + 2 + sqrt(2) + (sqrt(12)\/(-2*sqrt(6)) - sqrt(2)) + sqrt(2).\nAnswer: 3 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277400 - -426558. Let t = 703929.00145 - l. Let i = t - -29. What is i rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100011101001101000 (base 2) to base 16\nAnswer: 23a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:58 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -37\/7 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + f - 75173 = -0*f, -5*f + 112770 = 3*x. Suppose 8*t - 32479 - x = 0. Let k = t + -52397\/6. Find the common denominator of k and 47\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16040441 - -300?\nAnswer: 16040741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -3*b - 85 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 17*x - 42. Determine m(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.87671 - -0.02329. Let z = -72.1 + 77. Let n = z - d. Put -4, -0.08, n in decreasing order.\nAnswer: -0.08, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -163. Solve 5*c - p = 2*j, -j - 17 = -0*j - 5*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 68*b**2 + 31*b - 238. Does 44 divide u(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 6*i**2 - 2*i - 1. What is the remainder when l(4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68170 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let v(z) = z - 5. Let o(l) = l - 1. Let r(s) = 20*o(s) - 5*v(s). Let j(u) = -8*u - 3. Let h(g) = 5*j(g) + 3*r(g). Calculate t(h(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 245*l - 11725. Calculate d(41).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.06, -1, 15 in increasing order.\nAnswer: -1, -1\/5, 0.06, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7918 and 2481125?\nAnswer: 2481124.2082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -1\/12*u**4 + 0*u**2 - 18*u**3 - 18*u - 1. Let n(r) = -r. Calculate c(n(k)).\nAnswer: -k**2 + 108*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/11 - 70*y\/11 + 312\/11 = 0.\nAnswer: -39, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 175020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-238)\/18 + (-6)\/(-27). Let c = m - -17. Let p(y) be the second derivative of y**4\/12 - 5*y**3\/6 + y**2\/2 - 9*y. Give p(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**4\/j))\/(j*j**(-8))*((j\/j**1)\/j)**(2\/43) assuming j is positive.\nAnswer: j**(213\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 - -354. Let j = m + -361. What is the remainder when j is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-5))\/r)\/r**(-2\/5)*r*r\/((r*r*r\/(r\/(r*r**(1\/4)))*r)\/r)*r**(2\/21) assuming r is positive.\nAnswer: r**(-1997\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 2*v**2 - 8*v - 52. Let p(r) = -r**2 - 8*r - 6. Calculate the lowest common multiple of k(-4) and p(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1244 + 4455 = 2*b, -4*b + 11443 = -5*n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 64581 = -r + 1769, -4*r - 3*d = -265355. Let k = r + -250335. Round k to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1012402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + 6 + -13) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310203 (base 4) to base 12.\nAnswer: -1b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1307, -2432, -3557, -4682, -5807, -6932?\n\"Answer: -1125*a - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1309\/30 + -209\/5. Let u = -4\/3 + g. Which is smaller: u or -1\/54?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (18 - 39\/13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22998, -22900, -22772, -22602, -22378, -22088, -21720, -21262?\nAnswer: -20702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 107. Suppose g = -5, -4*f - x - 48 = 4*g. Let t(w) = -2*w**2 - 30*w - 29. List the prime factors of t(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 2 (b) 7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 1778.\nAnswer: 17780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/(-195))\/(8\/(-10)). Which is the closest to -4? (a) 0.2 (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 51. Calculate y(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 - 129 = -3*c + 24*v - 204, 228 = -4*c - 4*v for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -127.1?\nAnswer: -25.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bob when three letters picked without replacement from {b: 2, s: 4, o: 2, m: 2, q: 2, z: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125673 (base 10) in base 7?\nAnswer: 12365563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -3104?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8481 + -5445. Suppose -m = f - u, -15*f + 10*f = -3*m - 15188. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.88784 and -15236?\nAnswer: 15235.11216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0721 times 5\nAnswer: -0.3605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjojjjjop. Give prob of sequence pjj.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/4 (c) -1860728 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -37\/2 (c) 339085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -29*o + 4. Let s be r(2). Let b be (32\/(-24))\/((-1)\/s). Calculate the common denominator of (-196)\/b + -1 - 4 and -113\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -410.\nAnswer: 14\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (11 + -4)) + (-6 - 2) + -13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191112939 to the nearest integer?\nAnswer: 13824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1)*(-1 + 1 - 7*y) + (-2*y - 2*y + 2*y)*(-y - 2*y - 2*y) + (y - 2*y - y)*(-1 + 1 - y).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28483, 30113, 31743, 33373?\n\"Answer: 1630*z + 26853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 v when four letters picked without replacement from vvbbvb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, h: 2}. Give prob of picking 3 b.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsss when four letters picked without replacement from ssfffssssss.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 25, 10, -7, -26, -47?\n\"Answer: -k**2 - 10*k + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 24393572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ininiininnnnn. What is prob of sequence niii?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5 - 21 = 0, 2*x - 18 = -2*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j = 12. Sort j, -5, -2 in descending order.\nAnswer: -2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 48*z**3 + 4*z**2 + 63. Let y(s) = -3*s**2 + s + 0*s - s - 46*s**3 - 62. Let b(u) = 3*j(u) + 4*y(u). Differentiate b(d) wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66954*q**3 - 133901*q**3 + 66951*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2 - 8*v**2 - 3*v + 7*v**2 + 0*v. Let c be a(-1). Solve c = -3*k + k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -153.82?\nAnswer: -4614.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u*w**2 - 2861*u*w + u + 52*w**3 + 19*w**2 - 2*w - 2 wrt w?\nAnswer: -4*u + 312*w + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 0.8. Let m = -1081\/306 - -31\/9. Let f = -57\/68 - m. Which is the third biggest value? (a) 1 (b) k (c) f (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-10)\/6*-3).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*-3*(-2)\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, a: 1, i: 1, q: 1}. What is prob of sequence ica?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2862 and 19\/318.\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 23 + (-24 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7835*i - 1972. Does 41 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/31, -1\/3, 5, 0?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/(11\/(-363)). Calculate the greatest common factor of u and 847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 2*y**7\/3 + y**4\/12 - 14*y**3 - 235*y. What is the second derivative of p(f) wrt f?\nAnswer: 560*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/3 + -2. Let t(y) = 2*y**2 + 47*y + 11. Let i be t(-23). Let r be (-1)\/(-5) - i\/(-10). Which is the third smallest value? (a) 0.2 (b) 2 (c) r (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 5*f - 16*f = 0. Suppose -x + 341 = -2*w + 5*w, f = 2*w + x - 229. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1\/3*n**3 + 0*n**2 + 0 + 1\/24*n**4 + 1\/60*n**5 + n + 1\/360*n**6. Let m(x) be the second derivative of t(x). Factor m(v).\nAnswer: (v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3204 and 208556548.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*i - 22*i - 22*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*-1*-2. Suppose 0 = -0*a + c*a + l - 29, a = -2*l + 13. What is the second derivative of -j - a*j**2 + 4*j**2 + 4*j wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 0, -3, 3 in descending order.\nAnswer: 7, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/36218 and -59\/4776.\nAnswer: 434616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19129 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1219627 and 29\/267723.\nAnswer: 10976643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1 + -1)*2 + 3)**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**4 + 0*z**4 + 0*z**4 + 13*z**3 + 133*z - 132*z in the form c*z + j*z**3 + y*z**4 + u*z**2 + s and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307 + -311. Put 0, 0.03, l, -2 in descending order.\nAnswer: 0.03, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 149 and 105.67.\nAnswer: 254.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 10:07 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 18 = -118*d + 115*d, -f = -5*d + 30 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72200, 144032, 215500, 286604, 357344, 427720, 497732?\nAnswer: 567380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*b = 525*b - 781650. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 3*a**5\/5 - 93*a**4\/4 + 255*a**3 - 675*a**2\/2 + 32. Find k, given that q(k) = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 4:05 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3 and (0 - (-75)\/(-13))\/1 + 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4 and 113\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3423172*z**2\/3 - 10269460*z\/3 - 56 = 0. What is z?\nAnswer: -14\/855793, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 - 27*z - 4. What is w(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/4 + 1998*n**3 - 1996002*n**2 + 886224888*n - 147556443852.\nAnswer: -3*(n - 666)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149078?\nAnswer: 2, 131, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d + 31. Calculate the remainder when x(8) is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 + (2 - (3 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 + 0*v**2 - 3*v**2)*(-38 + 38 - 36*v**2 + (-3*v + 3*v - 2*v)*(0*v - 2*v + 0*v)) to the form y*v**3 + k*v**2 + w + g*v**4 + b*v and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 26. Let a = h - -34. Suppose -6*r + a + 96 = 0. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430996558?\nAnswer: 2, 3727, 191977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 49714534.6 to the nearest 100000.\nAnswer: 49700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 e when four letters picked without replacement from rxfrefnrferffrfezr.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 31. Calculate the remainder when 35 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000557 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwrt when four letters picked without replacement from {r: 3, t: 2, x: 3, w: 4, f: 1, d: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 2*f + 5*y - 7, 5*f = -3*y - 109. Let c = f + 24. Let g be (-150)\/(-39) - ((-24)\/39)\/c. Solve -g*s + 5 = -7, -2*m = 4*s - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.074 - -0.074. Let l be (-12)\/63*(-70)\/(-60). Put 1\/4, l, -1\/2, w in decreasing order.\nAnswer: 1\/4, l, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**3 - v**2 - 3. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -1, 0, 3\/5, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 823\/5747 + -2\/5747. What is the second smallest value in y, 0, 1, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 1585?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 17. Suppose -2*w - 4*c + c + 40 = 0, 2*c = w - 27. Which is bigger: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 28284 and 0.202328189.\nAnswer: 28284.202328189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**7\/6 - v**3\/6 - 7*v. What is the second derivative of y(g) wrt g?\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -191694 smaller than -191711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:38 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l + 2. Let o(h) = 703*h + 0 - 693*h - 3 + 6 + 0. Calculate 3*o(j) - 4*z(j).\nAnswer: -6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90 + 122737\/(-1251))*-9*1.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5)*-4*5. Let o(a) = -8 + 0 + m*a**2 - 2 - a**3 + 10*a. Let i = -1894 - -1903. Give o(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/((-9)\/(-6)))\/((-4)\/1518)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2385.69056+-0.5\nAnswer: 2385.19056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -206. Let l be 3 + 72\/5 - 32\/w. Calculate the greatest common divisor of l and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.629898 litres to millilitres.\nAnswer: 6629.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*u - 80 = -317*u + 676 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**2 + 7*d + 7. Calculate k(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 5:39 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/4 + 9*u\/4 + 2 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0*s**3 + 0*s**2 + 1\/50*s**5 + 0*s**4 + 2*s + 0. Factor n(h).\nAnswer: 2*h**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, q: 3, v: 2, d: 5, m: 2}. What is prob of sequence vq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - f**2 - f**2 - f**2 to q*f**2 + v*f + y and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1 + s + 0 - 3 + 3. Let x be q(6). Solve 0 = -2*u + x*a + 7, -3*a = u - 2*a + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 0 + 4)**2 + 5.\nAnswer: 48*sqrt(3) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(12) + -2 + 3 + sqrt(36)\/sqrt(3).\nAnswer: 2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = a - 0*a - 2*t, -2*a - 2*t = -6. Let h be 39\/(-455) - (-2)\/a. What is the third biggest value in 3, h, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26\/53 - 6101\/13409. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*i + 2*b, 2*i + 0 = -5*b + 31. Is 1\/i - 46\/(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 34 = -2*t. Suppose t*h = 7*h + 72. Let x be 4\/h - (-1)\/2. Which is the closest to 2? (a) -6 (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 12*b - 9. Calculate r(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3504 is divided by 891.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1140 and 541272.\nAnswer: 2706360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2092 + 2092 - 16*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/((-220)\/(-1650)). Are 154\/71 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-9)\/(-27))\/1). Sort -29, 2, 4, v in descending order.\nAnswer: 4, v, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.308 at most -13.5813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16564248*x**5 - 3385802*x wrt x?\nAnswer: -331284960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38816788, -77633570, -116450330, -155267056, -194083736, -232900358, -271716910, -310533380?\nAnswer: -349349756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94.61186 millilitres?\nAnswer: 0.09461186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 367 (base 11) to base 9\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 at least 3508\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 14) in base 5?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:46 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9012\/7 or 0?\nAnswer: -9012\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.36*4643\nAnswer: -1671.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 3*y + 70. Let q(x) = -x**2 - x. Let h(p) = k(p) + 2*q(p). Let l be h(0). Let g = 22 + -15. Calculate the highest common factor of l and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 110\/8 - 25\/(-20). Calculate the greatest common factor of d and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484781 (base 9) to base 16\nAnswer: 47590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -5, 3, -12\/11, -0.2 in descending order.\nAnswer: 3, -2\/31, -0.2, -12\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 0)\/(0 - -1). Suppose -9*h = -x - 13*h + 53, -x + 39 = -3*h. Let z be ((-30)\/x)\/(n\/66). Which is smaller: z or -21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 8:18 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 77.7 * -25.57\nAnswer: -1986.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/60 - o**4\/12 + o**3\/3 + 8*o**2. Let g be z(1). Is g != 21\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2943715, -5887432, -8831149?\n\"Answer: -2943717*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + g**4 + g**3 + (-2 + 2 + 1)*(-1 + 1 - g**4) - 2*g**3 + 2*g**4 + 2*g**3 + (0 - 6 + 8)*(-524*g**4 - 403*g**3 + 403*g**3).\nAnswer: -1046*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 times -1960.7\nAnswer: 803.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 4*u**5 + 4*u**5 + (-9 - u**3 + 9)*(13289*u - 13289*u - 79*u**2).\nAnswer: 78*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 65276*m - 32611*m - 32644*m.\nAnswer: 21*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 - 8*j**4 + 8*j**3 + 32*j**2 = 0.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let a be 2*(-58)\/(-12) + (-6)\/9. Is h at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 607, 671, 781, 937?\n\"Answer: 23*l**2 - 5*l + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 709+-820846703787\nAnswer: -820846703078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4526 and 438.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14053 and 185432?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62.557 * 10.\nAnswer: 625.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 + -3 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3390 + -169567\/50. What is the common denominator of 9\/110 and m?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651.7 take away 0.1?\nAnswer: -651.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.5 and -8582.\nAnswer: -321825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020127549 rounded to 6 dps?\nAnswer: 0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/20670 and 13\/8431134.\nAnswer: 548023710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 69839701 and 69839700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) + 2\/9. Suppose r + 2349 = 10*r. Suppose i = x - d - 65, -d = -4*x + 4*d + r. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/5)\/(4\/110). Let i = w - 36. Let n = 5 + -2. What is the remainder when i is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002158 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -967255, -1934455, -2901657, -3868861, -4836067?\nAnswer: -5803275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 464520129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1.8 (b) 41 (c) 7080\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28482?\nAnswer: 2, 3, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - 554*z - 580. What is the first derivative of f(p) wrt p?\nAnswer: -3*p**2 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 4. Let x be u(0). Suppose -2*w + x = 2*f, 0 = -f + 2*w + 6 + 5. Solve 0 = f*c - 20 - 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 167378506.19?\nAnswer: -167378495.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101425 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/5, 19.4, -3, 5, -0.3, 12, -88?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/15 and -48\/27395?\nAnswer: 82185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 8. What is the lowest common multiple of k(-6) and ((-3)\/9)\/((-1)\/18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31.18 in 2\/7, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 10*h**2 - 2*h - 10. Let l(p) = -p**3 - 9*p**2 - 9. Let u(f) = 2*i(f) - 3*l(f). Let s(d) = -8*d - 18. Let o be s(-3). What is u(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 12.3. Let w = -0.49 - d. Let n = 39\/56 + -4\/7. What is the second biggest value in n, w, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -6598\/75. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 133?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 7:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/55 + 44\/10. Suppose -2*j + 6 = -s*j. Let w = 6 + j. Calculate the highest common factor of 27 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 4*i**3 - 2*i**3 + (-4*i**2 + 0*i**2 + 5*i**2)*(5*i + 0*i - 3*i) + (-1 + 4 - 1)*(2*i**3 + 3 - 3).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 + -0.8. Suppose 5*h = 132 + 13. Let p be (h\/(-10) + 3)*(3 - 1). What is the nearest to p in 1, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17536*x**2 + 16*x - 172?\nAnswer: 35072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1285 + -1273 + (-3 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8323664 to two dps.\nAnswer: -10.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 12 + 20 = 25*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100.207 rounded to the nearest 10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 984.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 11*r - 149. Calculate s(-20).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6 - 20*t - 110*t + t**2 + 21.\nAnswer: t**2 - 130*t + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45810601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*n + 550*n**3 - 7*n - 4*n**2 + 3*n**2 - 100*n**3 wrt n.\nAnswer: 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-84)*6)\/((-36)\/720*-60)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80284 (base 10) to base 8.\nAnswer: -234634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 0*d + 9\/5*d**5 + 0*d**3 - 14 + 0*d**4 + 3\/2*d**2. Find the second derivative of i(g) wrt g.\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(288))\/(sqrt(100)*-2 - sqrt(100)) + -5)**2.\nAnswer: sqrt(2)\/9 + 101251\/4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 10*s - 478, -7*s + 9*s = 2*k - 230. What is the greatest common factor of k and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/606 and 127\/181194?\nAnswer: 181194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/2 and -5\/1846106.\nAnswer: 1846106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 10. Let w be q(-7). Solve 2*l + 5*f = w, -5*l - 3*f + f - 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 + -3 + 6) - (-248 - -182)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562 less than -0.7?\nAnswer: 1561.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -74. Let g(p) = p**2 - 11*p + 23. Suppose v + 3*d + 35 = 3*v, 10 = 2*v + 2*d. What is the remainder when y is divided by g(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47664494.\nAnswer: 2, 3343, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12194\/130 - 31 - ((-6)\/5 + 4 - 2).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 715253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 8*o - 4. Let i be k(9). Suppose -i*f + 59 = 3*q, f - 1 + 3 = 4*q. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + (-15)\/(-120)*-536)\/(2*-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*t - 2*d, -2*t = -4*d - 5 - 17. Suppose 5*v - 141010 = t*l, l - 3*v = -4*l - 235006. Round l to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -22. Let b = g + -37.8. Let v = -5 + b. What is the closest to -1 in v, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52218, -208870, -469956, -835476?\n\"Answer: -52217*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 195 = 4*v + 68, 103 = 4*v - 3*i. Suppose 6 = v*c - 27*c. Suppose -12 = 7*s - c*s. Is s at least -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 307*z + 0*z**3 - 291*z - 8*z**2 - 44 + 3*z**3. Let h(r) = -2*r**3 + 4*r**2 - 8*r + 22. Let l(i) = 5*h(i) + 3*p(i). Is l(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 174\/7, -2\/5, -98?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**2*z**2 - 1515*t**2 + 10*t*z**2 - 44*t*z wrt t.\nAnswer: 2*z**2 - 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*p = 10*p - 204, 9*r + 3*p - 182 = -98 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*u + u - 54 = 0, 26 = 2*j - 4*u. What is the remainder when 6\/(-9) + 98\/3 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*t - 2 = k, 5*k - 1 = -3*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110110122 + 2?\nAnswer: -110110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598636 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*(s**(-10)\/s)\/s*s*s*s)**(-46)\/((s\/(s**(-8)\/s))\/s**(-2\/39)) assuming s is positive.\nAnswer: s**(10372\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -39\/2. Which is the closest to -0.3? (a) -4 (b) -10 (c) -3\/7 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*2*7. Let u(x) = x**2 + 4*x - 8. What is the units digit of u(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 13689.\nAnswer: 136890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 1\/3*y + 1\/6*y**2 + 1\/6 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or 168?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x - 409*x**5 - 1322*x**2 + 2568*x**2 - 1318*x**2 wrt x.\nAnswer: -24540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 - -8249?\nAnswer: 8529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15820167081 - -13?\nAnswer: -15820167068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40283537*-0.5.\nAnswer: -20141768.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 31*c + 20. Find the common denominator of h(-29) and 19\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b. Let z(n) be the second derivative of -215*n**4\/12 - 3947*n. Determine z(l(m)).\nAnswer: -17415*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.880715 take away 0.03?\nAnswer: -5.910715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 23*u**2 + 174*u + 4754. Let z be t(-24). Suppose 0*n + 0 + 1\/5*n**z = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-14) + (-4)\/(-14). Let s(o) = 1. Let a(p) = 2. Let r(z) = 4*a(z) - 9*s(z). Let u(w) = 7*w + 5. Let y(k) = 4*r(k) + u(k). Determine y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4\/3 + 20*m**3\/3 - 8*m**2 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 533841023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - 13\/(-22). Let t = 222 - 1106\/5. Which is the second smallest value? (a) t (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -206?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -8*g + 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 60. Let p be (7\/91)\/(60\/78) - (-229)\/10. What is the highest common factor of u and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 180. What is f(25)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1 - -3 - 21). What is the third smallest value in j, 0.4, 1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464556867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 432*d**2 - 2772*d + 1416 - 734*d + 1988*d - 3430*d - 460*d**2 = 0. What is d?\nAnswer: -177, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7138 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -32*x - 12. Let r(l) = -11*l - 4. Let g(u) = 14*r(u) - 5*t(u). Suppose 0*d - d - 5*p = 3, 0 = 3*d + 3*p - 3. Suppose d*z = z - 4. What is g(z)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7120000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 32671.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - ((-14)\/(-8))\/(-1) - 1315\/(-3156). Which is the closest to -6\/13? (a) 4 (b) 0.5 (c) r (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 2902412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -136, -140, -146?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*m**4 + 74*m**3 + 2872 wrt m?\nAnswer: 92*m**3 + 222*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 6*s - 7. Let l(i) be the first derivative of -i**3\/3 + 6*i**2 + 18*i - 37. Let y be l(13). Determine f(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 - v - 1. Let u(f) = 24*f**3 + 11*f**2 - 6*f - 8. What is 6*o(r) - u(r)?\nAnswer: -18*r**3 - 5*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 965 = u, -3*u - 175 - 2 = o. What is the least common multiple of 10 and o\/(-18)*((-1 - 0) + 4)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -3*i + b - 66, -4*b = -4*i - 28 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 - 24*p - 129. Let g(x) = 7*x**2 + 24*x + 126. Let u(j) = -5*g(j) - 6*m(j). Factor u(l).\nAnswer: (l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22840 (base 11) to base 10.\nAnswer: 32956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 3*w**2 + 2*w + 2. Suppose k - 1 = -3. Let n be r(k). Solve -13 = 4*o + 5*m, -2*o + n*m + 1 = -3*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/2300076 and 61\/370980.\nAnswer: 11500380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4*s + 14396*h**2*s + 22751*s with respect to h.\nAnswer: -8*h**3*s + 28792*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 26 = c - 2*i, -2*c - 4*i - 20 = 0. Let s = c + 3. Which is greater: s or 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 0.1.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + -0.1. Let k = -538 - -537.6. What is the closest to x in 3, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29647459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) -0.13 (c) -3\/7 (d) 2\/13 (e) 3 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -33653*x. Let i(o) = -34*o**2. Determine f(i(d)).\nAnswer: 1144202*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -14*j**5\/9 + 2812*j**4\/9 - 15500*j**3 - 179768*j**2\/9 + 834058*j\/9 + 40804\/3 = 0.\nAnswer: -3, -1\/7, 2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, w: 4, s: 2, q: 10}. What is prob of picking 3 q and 1 o?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168998 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.024 + -0.044. Let h = g + 26.068. Let f = -3 + h. What is the closest to 1 in f, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 33. Let s(n) = -n**3 - 5*n**2 + 7*n + 6. Let a be s(-6). Let u be z(a). Suppose 4*t - u = t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 - -222. Suppose 4*q + x = 5*q. Solve 3*b + q = -4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 23190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + x + 4. Let q(h) = -5*h**2 - 2*h + 28. Let z(l) = 6*m(l) - q(l). Let r be z(1). Let k be ((-16)\/(-6))\/(2\/6). Solve k*d - r*d - 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6)*m*m*m*(m\/(m**0\/m))\/m)\/(m**(-5\/2)\/(m*m**(-8)*m)))\/(((m*m**(1\/3)*m)\/m)**(-1\/9))**(-25) assuming m is positive.\nAnswer: m**(205\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + 8*u - 13. Let w(m) = -9*m**2 - 15*m + 26. Let q(h) = 3*w(h) + 7*z(h). Let c be q(-12). What is the tens digit of 18 - (-1 + c - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -55.7. What is the third biggest value in -0.5, 0.7, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(0 - 1 + 2)*(-116 - 19 - 17)*(2*p + 2*p + p).\nAnswer: 760*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74\/11 + 540\/77. Factor p*u**2 + 0*u - 2\/7.\nAnswer: 2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/12958 and 13\/12958?\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - 57. Let z = w + -90. What is the least common multiple of 5 and 1*40\/z - -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63105 divided by 82\nAnswer: 63105\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*s + 494 = 60, q = 5*s + 205. Calculate the least common multiple of 495 and q.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -446, -460, -494, -560, -670, -836, -1070, -1384?\n\"Answer: -2*r**3 + 2*r**2 - 6*r - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30558557 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 490*l - 883 - 587 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*c + 0 + 4*c**2 + 1\/4*c**3.\nAnswer: c*(c + 1)*(c + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3*c**(13\/5))\/(c\/(c\/(c\/(c\/(c\/c**4*c)*c)))*c\/c**(-16)))**(-33) assuming c is positive.\nAnswer: c**(1386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 2*w - 10*w**3 - 38*w**4 + 5222 - 5221 + 2*w**2 in the form j*w**3 + o*w**2 + g*w**4 + l*w + k and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398b2 (base 14) to base 13.\nAnswer: 4c637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12817.\nAnswer: 7, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 11:14 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 977*w**3 + 2*w + 1051*w**3 - 2122*w**3 + 51*w**2 wrt w?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 13.1. Let f = -5 + z. Suppose 5*x - 25 = -5*j, 0 = -2*j + 2*x + x - 15. Which is the smallest value? (a) 1 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 18*d = 4085. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1089 and -1087 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/v**(-47)*v*v)\/v*v)*v**(-2\/51)*v assuming v is positive.\nAnswer: v**(-2450\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/49 and -59\/448.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w + 26. Let r = 7 + 113. What is the greatest common factor of w and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.7 (b) -4 (c) -2\/13 (d) 0.1 (e) 1\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 4814?\nAnswer: 9628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 14 - 29, 2 = s + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 115, 305, 587, 967?\n\"Answer: h**3 + 37*h**2 - 14*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -18*x + 4\/5*x**5 + 32\/3*x**3 + 5*x**4 - 1\/15*x**6 + 0 + 11*x**2. Factor a(s).\nAnswer: -2*(s - 11)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 4*o**2 + 3*o + 10. Let m be l(5). Solve 0 = -m*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*s = -17, 0 = -3*c - 5*s - 292 + 330 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019254 to the power of 1\/2, to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-1 - 1) + -592). Suppose -2*s + 609 = -f. What are the prime factors of s?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1721 + 1720. Let o(g) = 10*g + 3. Let j(p) = p + 1. Suppose 5*x - 10 = 15. Give x*j(w) + z*o(w).\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 711*k + 715*k + 32 = 0, 5*q + 8 = -4*k. Solve -8 = 2*a + q*g, 2*a + 5*g + 10 = 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3 - sqrt(245) - (sqrt(245) + -2) - (((sqrt(35) - sqrt(70)\/sqrt(2)) + sqrt(35))\/sqrt(7) - sqrt(5) - (-1 + sqrt(5) + 5)))**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.231 + 29.6. Does 1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*r + 85*r + 64 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -33 + 24 + 2*x - 3*x. Calculate f(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011147 to 5 dps.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + r = 12 - 0, -2*r - 12 = -g. Solve 0 = g*z - 17 - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -34.6?\nAnswer: 34.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 11. Suppose -d - 1 = 3. Let b be (d\/8)\/(1\/8). Put b, z, 4 in descending order.\nAnswer: 4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*m + 69*m - 28 - 37 + 66 to the form w + h*m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 0.3, -377, 1, 2\/19, -2\/31?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:12 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2271\/(-27) - (-1)\/9. Let b = -76 - d. Let a(o) = o**2 - 10*o + 11. Give a(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 9.78. Let z = -0.12 - x. Are z and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1865 - -24243\/13. Let u(i) = i**3 + i - 3. Let j be u(0). Let n = -6.4 - -6. Which is the third biggest value? (a) h (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 5. Let w(r) = -16*r + 10. Let q be w(0). Suppose q = 5*f + 3*x, 2*x - x + 5 = 0. Put -5, b, f in ascending order.\nAnswer: -5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.699 - 15785523\nAnswer: -15785523.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/2 of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -5, -2, -4, -66, -2\/3, 1.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/25)*b*b))\/b**12*(b\/b**(-2\/21))**(-1\/10) assuming b is positive.\nAnswer: b**(-13807\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -606528 from 2645.\nAnswer: 609173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 33*k + 3. Let b be s(4). Let l = b - 6. Let f = -87 + l. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 - 73812*s**2 - 1361979021*s + 2724253298 = 0. Calculate s.\nAnswer: -36907, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 32 = -5*u, -460*u - 14*a - 102 = -901*u + 465*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101000 - 101110?\nAnswer: -1011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118.76 - 0.76. Let j = d + -118.00000097. Round j to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**3 - 2*i**2 - 3*i. Let p(c) be the second derivative of -17*c**5\/20 + 7*c**4\/12 + 4*c**3\/3 + 4*c + 26. Calculate 8*m(w) + 3*p(w).\nAnswer: -3*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297)\/(-18))\/(21\/(-14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.930112km in millimeters?\nAnswer: 930112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2 - h**5 - 3*h**2 - h**5 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 24 = -4*z, -30 = -5*z + 6*j - 3*j. Let m be (0\/2)\/(-1*1). Suppose m = 4*a - z*a + 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k - 84. What is the remainder when 36 is divided by o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*t - 134*t - 131*t + 11 - 371*t - 13.\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from cvvclccvvl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 9) to base 4\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/7 and 42\/391.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7773.6 to the nearest 100.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1155\/99 - ((-39)\/9 + 4). Calculate the greatest common divisor of j and 642.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -992, -2271, -3758, -5459, -7380?\nAnswer: -9527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-1504)\/(-112) + -9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.37, -261 in descending order.\nAnswer: -1\/4, -0.37, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - -3 - (0 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2114909\/180 - 499981927\/42540. Let t = -3\/1418 - i. What is the common denominator of t and 2\/6*(-114)\/(-44)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 2\/3, 23, 745, -0.1961, -4\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105981 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 447 (base 10) to base 6\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178633*d**3 + 188774*d wrt d?\nAnswer: -1071798*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 317492 and 12530581.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459535535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805302473.\nAnswer: 23, 1153, 30367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l**2 + 7*l + 8. Let c be v(-6). Let d = 6 - c. Suppose 0 + 40 = 5*w + 4*u, -2*u = -10. Solve a + x - w*x + 6 = 0, 2*x - d = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3138*g**3 - 1047*g.\nAnswer: 18828*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -332150.403 + 332663. Let w = -513 + i. Let q = 0.4 + w. Round q to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 - 2*m**2 + 8*m - 5. Let b be f(1). Solve -b*s - 11*t + 8*t = -3, -5*s - t + 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Calculate the greatest common divisor of 71446 and 514.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 3*u + 14. Let k(b) = 43 - 56 - 7*b**2 + 0*b**2 + 4*b + 4*b**2. Let q(o) = 5*a(o) + 4*k(o). Differentiate q(l) with respect to l.\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 20. Let d be a(6). Suppose -o = d*c - 20, 2*c - 5*c + o = -20. Suppose -c*i + 7 = -25. Sort 9, i, -3 in descending order.\nAnswer: 9, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**2 + 1. Let i be n(-1). Suppose -y = -4*t + 11, -2*t + y = -6*t + 5. Suppose 3*c = 2*s + 18, t*c + s + 0 - 19 = 0. Is c at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/27)\/((-2)\/(-3))*2977\/(-10534)*207.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + 20387\/(-1197))\/((-84)\/(-49))?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**14)\/a)\/(a\/(a**(-2)*a))*a\/a**33*a**(-4) assuming a is positive.\nAnswer: a**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 + -109. What is the remainder when a is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68180712 and 178952?\nAnswer: 68180712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1191, -8, 6.\nAnswer: -1191, -8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 360. Let u = i - 305. Which is the third smallest value? (a) 45 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 36 = 2*p + 10, 0 = 2*p + 6. Let t = 8 + q. Suppose t = 4*b + 2 - 14. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + 7*s - 4. Suppose 2*u - v - 16 = v, -2*v = u - 2. Let h be l(u). Does 3 divide (h - -1)\/((-6)\/(-26))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47240?\nAnswer: 2, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 0*w - 7*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -32. Suppose -r + n = -4. What is the greatest common factor of r and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 + 3*r**2 + r. Let h(n) = n**2. Calculate 3*h(a) - z(a).\nAnswer: -4*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 3:42 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m. Let r = -0.5 + 4.5. Which is the nearest to m? (a) 0.1 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 168\/49 + (-3)\/7. Suppose 5*o - 3*p - u = -0*p, -p = 4*o - 16. What are the prime factors of o*38 + 3 + 1?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*i**2 - 90*i**2 + 169*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -297556176 divided by -16\nAnswer: 18597261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 765 + -754. What is the highest common factor of 2167 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -0.8. Sort 4, l, -1.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7631 - 1865 = 547*s + 1444 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*2)\/((sqrt(90) + (sqrt(90)*-1 - sqrt(90)))\/sqrt(9)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {b: 5, w: 13}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 20 - 89 - -65.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**2 - 5*r**2 + 5*r**2)*(5 - 5 + 2) + (-2*r - 2*r + 3*r)*(-4*r - 4 + 4) as h*r**2 + j*r + m and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:48 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 14*h**2 - 14*h - 11. Let k be -2 + 22\/(-3 - (2 - 3)). Let x be s(k). Factor -7*v**2 + 2*v**2 + 3*v**2 + 81 - 18*v + 3*v**x.\nAnswer: (v - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 893 - 470. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1797420 divided by 29957\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 228*w + 912. Give f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327 divided by 133.\nAnswer: -327\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1)\/(-8)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2011 - 2?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 2, n: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1733 = -p + 1392. Let i be p\/(-1 - (-6045)\/6048). What is i rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59005, 118010, 177015, 236020?\n\"Answer: 59005*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 77 = -103. Let h be 4\/((-10)\/(-5))*8\/(-28). Let g be ((-483)\/322)\/(9\/(-2)). Sort m, h, g in ascending order.\nAnswer: m, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:18 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*7\/(-98)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + 2*m**4 + m**4)*(0 - 3 + 2) + 9 - 9 - 14*m**4.\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 15. What is the remainder when 37 is divided by 1\/((2 + g)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -2, -16225 in descending order.\nAnswer: -2, -33, -16225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -45496*s. Let q(v) = -v. Calculate z(q(d)).\nAnswer: 45496*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 19209 and 19201 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + 1.34. Let a = 0.2 - 0.6. Is j <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1262, -3.\nAnswer: -1262, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -118, -409, -972, -1897, -3274, -5193?\nAnswer: -7744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 12:15 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6495713*f**4 + 7829137 wrt f?\nAnswer: 25982852*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + ((-2 + sqrt(243) + 0)**2 - 4*(1*sqrt(243) + sqrt(243) - sqrt(243))**2)).\nAnswer: 36*sqrt(3) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 1. Let g(v) = v**2 + 2*v + 1. Let x be g(-1). Let n be u(x). Is n != -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -8 + (-83)\/27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let l(o) = 11*o**2 + 88*o. Let b(h) = -5*l(h) + 440*t(h). Let c(j) = -2*j. Calculate c(b(i)).\nAnswer: 110*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 2, r: 3, u: 2, g: 3, k: 1}. Give prob of picking 2 n, 1 g, and 1 k.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0684 + -0.2684. Which is smaller: 6020 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*z**2 + 69*z**3 + 117*z**2.\nAnswer: 69*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/10? (a) 2 (b) -3 (c) -246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2347 + 2346 = 3*h - 2*p, -7820 = -5*h + 5*p. Let d = h - 645. List the prime factors of d.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/1401 + -1715\/1868. Find the common denominator of a and (-30)\/(-375) - 6041\/7700.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1284 - 1279. What is the greatest common divisor of 860 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:54 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(-1 - 1 + 4)*(-4*w - 4 + 4).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 13 + 2 = w, 25 = -5*w. Let p be (129\/15 - 7) + z\/5. Solve p*u = 3*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 17 = -1. Let s = 1\/60289 - 1145511\/1205780. Find the common denominator of s and ((-22)\/30)\/(n\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10870 * -2.3105\nAnswer: -25115.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)*d*(d**23\/d)\/d)\/(d**9*d)**(1\/7) assuming d is positive.\nAnswer: d**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 12, o - 38 = 5*k - 62. Suppose -6*a + 152070 = k*u - 7*a, 2*u = 2*a + 76038. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 + 8*s - 3. Determine f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12 + 2 - 34*z**2 - 15*z + 12*z - z**3 wrt z.\nAnswer: -6*z - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*w + 3*i + 7 = 0, 85 = 5*w - 21*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-66) - 5*(-10)\/(-275)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 40375 (base 13) to base 7\nAnswer: 655555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 8*b + 17. Suppose 4*h - 14 = a, -6 + 18 = 4*h - 2*a. Calculate the remainder when z(7) is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108818*v**3 + 389139*v**2 wrt v.\nAnswer: 652908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -1\/6*p**3 + 1\/12*p**4 + 1\/2*p**2 - p + 0. Let i(y) = 5*y - 5. Let k be (-5)\/(-9 + (-406)\/(-29)). Calculate k*i(g) - 3*j(g).\nAnswer: -3*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 1195 - 667 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 71. Let h be 1\/(-3) - (-16)\/g. Factor -1\/5*f**4 - 1\/5*f**3 + h*f + 0 + 1\/5*f**2.\nAnswer: -f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 428, 642, 856, 1070, 1284?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1058 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 9*p + 280. Solve 4*g + p = 5*m, -5 = -4*g + 5*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Let y = 5 - m. Let h = 40 - 36. Solve -h*r = -14 + y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/2)\/4*-65 - -2. Let x = -31 - u. Calculate the smallest common multiple of x and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 25)*3\/(-4). Suppose 4360 + 5918 = y*c. List the prime factors of c.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2597 = -812. Let i = 1115 + k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 + -33)) + (82 - 183 - -100)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1178619.401 - -1179218. Let q = y + -599. Round q to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -9. Suppose j*i - 24 = -2*w, -2*i = -i - 4*w - 2. Let n(x) = x + 12. What are the prime factors of n(i)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 608*w + 241. Is h(30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(2*-3)*((-1408)\/99)\/(-16).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 - 3684*b**5 - 3*b**3 - 30518*b**2 wrt b.\nAnswer: 240*b**3 - 221040*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 120*k + 869. Let l be a(8). What is the third biggest value in l, -0.2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 819 - 3412*w**2 + 1711*w**2 + 1700*w**2 + 3*w**3 as q + m*w**3 + s*w + c*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.78 + -9.780002607. Round n to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - 0.28. Let c = 0.1 - -1. Let f = -1983 + 1985. Sort f, c, k in descending order.\nAnswer: f, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - n**2 + n + 0*n**2 - n**2 - 5*n**2 + (-2*n**2 + n**2 + 0*n**2)*(-1 + 3 - 1) + 2*n**2 - 2*n**2 - n**2 + 180*n - 8 + 2*n**2 - 180*n.\nAnswer: -7*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3, -5*r - 4*g + 2*g + 27 = 0. Suppose -r = 4*h + 7. Let a = 16 + h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 6)\/(0 + -1 - -3). Let g = 4541\/357 + -145\/17. What is the common denominator of k\/((432\/28)\/3 + 0) and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*c*g*z**2 + 4*c*g - c*h - 3*g*h*z**2 + 9*g + h*z - h wrt c.\nAnswer: -28*g*z**2 + 4*g - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 s, and 1 i when four letters picked without replacement from {o: 1, s: 3, l: 1, j: 3, u: 2, i: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.5 - 30. Let p = 11.6 + g. Let i = 10 + p. What is the third biggest value in -0.4, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252058 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 3*t**2 + 5*t - 2. Let p = 5 + -1. Let k be h(p). Find c, given that 37*c**3 - 39*c**3 + 2*c**4 - 3 + 2*c - k*c**2 + 3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*h + 5*b - 108, 4*b = -2*h + 54. What is the remainder when 21 is divided by 1 + h\/(-33) - (-192)\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -6. Suppose -n = 3*n - j. Let g(l) = -l**3 + 3*l**2 + 4*l. Let v be g(4). Solve -w + 3*k + 4 - 18 = 0, v = w + n*k - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 495*u - 516. Let q be n(21). What is q rounded to the nearest 100?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 5. Let f be y(4). Let l(o) = 7 + o**2 - 2*o**2 - 2*o - f*o. Let i be l(-5). Solve -t + 2*b = b + 7, 5*t + i = b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31272)\/(-19545))\/((-2)\/60).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27226869?\nAnswer: 3, 43, 211061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 - 4*p + 170. Let b be f(0). Calculate the greatest common divisor of b and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*x - 2 - 5, -4*k = 3*x - 15. Let h = -1 + x. Let o(n) = -n + 1. What is o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 54, 70, 86?\n\"Answer: 16*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 881 - 881.000000379. What is v rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1818\/1515*25\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-64))\/(-9)*-16*1\/(314\/2).\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131177 is divided by 599.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23228?\nAnswer: 2, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (186 - 16)*(5\/2)\/5. Suppose -58 = -2*q - r, 2*q = -q - r + w. Let m(n) = 2*n - 14. What is the remainder when q is divided by m(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 6. Suppose 4*t = 4*p + 24, 4*p + 6 = -4*t - 18. Let r = 37 + -25. Calculate the smallest common multiple of r and n(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8844577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010 - 111?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227011 is divided by 132?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 44.5. Let k = -18 + f. Let z = k + -0.49999862. Round z to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11129218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 23 - 16 - p + 6. Let n be g(8). Let v be (-6)\/((-1)\/(-4)*-3). Solve n*x - 12 = v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-23)*(u\/((u*u**(-39)*u)\/u))\/u)\/(u**(7\/5)\/u)**(-29) assuming u is positive.\nAnswer: u**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7529 - -7529.45962. Let v = 0.46 - x. What is v rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**7\/42 + c**3\/6 + c**2\/2 - 5*c. Let n(v) be the first derivative of d(v). What is the derivative of n(i) wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 15?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 + y + 4. Let u(i) = -i - 7. Let w be u(-7). What is m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {d: 4, h: 6, k: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + g + 2. Let v(z) = 4*z**2 + 2*z + 5. Let c be 4\/(48\/15) + (-920)\/(-32). Let p be (3 + (-42)\/4)*20\/c. What is p*r(f) + 2*v(f)?\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 43 (b) 0.1 (c) 0.2 (d) -60 (e) 2\/5 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 7. Suppose -14*b = -3*b - 33. Give i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and (1 - -147) + (41 - 45).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 654911\/3103000 - -2\/13375. Find the common denominator of 43\/40 and f.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -538 + 544. Suppose 0 = -5*r - 5*b + 19820, y*b - 7*b = -r + 3970. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.87 or -0.037809?\nAnswer: -0.037809","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 85.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386417 is divided by 4319.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 630\/140*2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/6*((-6)\/8 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4\/3 - 34*u**3\/15 + 56*u**2\/5 + 24*u\/5 = 0.\nAnswer: -6, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 8*u - 3916. Give b(-67).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*z**2\/21 - 100852*z\/21 - 3930.\nAnswer: 2*(z - 4585)*(11*z + 9)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 205072279 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14376, 14375, 14374, 14373?\n\"Answer: -g + 14377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:26 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 m, and 1 j when four letters picked without replacement from {m: 3, t: 2, q: 2, j: 1, p: 3, d: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8386, -7790, -7224, -6694, -6206, -5766, -5380?\n\"Answer: -r**3 - 9*r**2 + 630*r - 9006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-12)\/(-18)*9\/6. Let d(u) be the first derivative of l*u**3 + 0*u**2 + 4*u + 1\/4*u**4 - 4. Differentiate d(k) with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -463368*u**2 - 4 + 463368*u**2 + 4*u**3. Let l(f) = f**3. Give j(n) - 3*l(n).\nAnswer: n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/100 and 11\/5000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 3*g + 0*g)*(2 - 4 + 3)*(2*g + 0*g + 3*g)*(-3*g - 315 - 16*g**2 + 325 - g) as h*g**2 + y*g + i + m*g**4 + d*g**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-12))\/((-2)\/(-6)). Suppose t*a = 2*a + 44. Calculate the remainder when 43 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1692)\/48)\/((-39)\/(-26)) and 26\/1127.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 4*n**2 + 4*n - 1. Let q(h) = 6 - 3*h + 8 + 0*h - 1. Let a be q(6). What is the remainder when 13 is divided by u(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 256?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -16\/9 (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2093117?\nAnswer: 13, 161009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 424 + -352. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 39 = 3*a, 3*k + 5*a + 4 + 3 = 0. Let m(x) = -4*x + 24. Let g be m(7). Let d = g + k. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4 - 2. What is the third derivative of c - c - 5*c**4 + b*c**4 + 3*c**2 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**3 - z**3 - z - 55*z**2 - 33*z**4 + 58*z**2 as f + y*z**2 + c*z + m*z**4 + j*z**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 366196651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1540a (base 16) to base 3.\nAnswer: -11102102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2050*c**3 - 9857*c**3 - 1621*c**3 + 7*c**2 - 7*c**2.\nAnswer: -9428*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - 0 - 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4356 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2149 and 70.\nAnswer: 21490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 34 = -2*c, -123038*c - 2*i = -123042*c + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o - 0*o + 5*x - 5, 2*o - 2*x = 18 - 48 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 17*a**2 + 7*a - 21. Let t be n(-9). Let z be (-1*(-2)\/6)\/(1\/t). What are the prime factors of (105 - z)\/(1*(2 - 0))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 33*s + 76*s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46072134 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (-4*(-1*sqrt(114) + sqrt(114)) - sqrt(114)) - sqrt(114)*-2*-3)\/((sqrt(216) + sqrt(216)*-2)*-1))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 451 + -77?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-1\/3)\/b*b))\/(b\/b**(-5))*(b**0*b)\/b**(2\/5))**11 assuming b is positive.\nAnswer: b**(-671\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 0.97. Let z = 1.7 - s. Let f = -0.69995 + z. What is f rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230 is divided by 389?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -248, -983, -2208, -3923, -6128?\n\"Answer: -245*f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -31\nAnswer: -17\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 1, k: 1, t: 2}. What is prob of sequence ktr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/10563 and -49\/9.\nAnswer: 31689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -115*n - 17*n + 189 - 160 - 12*n. What is the tens digit of d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.042 - 0.124. Round i to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 + 620 = -4*z. Let q be 3\/2*(-71 - -9). Is z at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3140024?\nAnswer: 2, 392503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193797610?\nAnswer: 2, 5, 61, 317701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 48 = -843*p + 839*p, 2*p - 5*c + 74 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 - 0.8. Sort -0.02, h, 5 in descending order.\nAnswer: 5, h, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 350 - 235. Let s = 120 - q. Sort 7, s, -2\/13 in decreasing order.\nAnswer: 7, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 164265 and 0.16.\nAnswer: 26282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 0*z**3 + 54*z**2 - 62*z**2.\nAnswer: -7*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 5*w**4\/4 + w**3\/3 - w + 3. Let j be i(1). Suppose 14 = -3*b - 5*q, -4*b = 4*q - 1 + 9. Solve j*a + 3 + b = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*y + 12, 4 - 1 = 3*q - 2*y. Suppose 36 = 4*h - 4*t, t + 2 = -q. Let o = -0.02 - 0.48. What is the second biggest value in o, h, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 9*x**2 + 12*x + 2. Suppose -4*n = -91 - 157. What is the remainder when n is divided by h(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2905 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzjqkbvb. What is prob of sequence qbvz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(500) - (-1 + 1 + sqrt(500) - sqrt(500))) + sqrt(500))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1952, 1.2, -37\/4, -0.3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 192. Let b be ((-2630)\/330 + 8)\/(1\/(-6)). What is the second biggest value in b, 0.4, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 16*c**2 - 9*c + 22. Calculate p(16).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -3112, -6948, -12304, -19174, -27552?\nAnswer: -37432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2243*h**4 + 11*h**3 - 217*h**2 + 8*h wrt h.\nAnswer: 53832*h + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**10\/u))**(8\/11)*u**(-2\/53)\/((u*((u\/u**(2\/35))\/u*u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-138729\/20405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - 9. Let n = 26 + t. Suppose 3*u - n + 15 = 0. Which is the second smallest value? (a) -3\/4 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5001 is divided by 155?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2 + 56 = 0. Suppose -2*o = 5*h - 7*h, -29 = -3*o - h - 1. What is the remainder when r is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -59188 and -59188 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 345438 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/1867, 0.6 in decreasing order.\nAnswer: 0.6, 4\/1867, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 47*i**4\/6 - 5*i**3\/6 + i**2\/2 - 13*i. Is y(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 4:29 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.4 + 31.126. Let t = 123.726 - w. Let g = -123.99999858 + t. Round g to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 8*u**4\/3 + 746*u**3\/3 + 154*u**2\/3 - 2984*u\/3 - 248 = 0.\nAnswer: -93, -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 9 = 2*c. Suppose 0 = -c*x - 39 + 1419. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 6*i + 4*i)*(5 - 5 - 2*i)*(0*i + i + 0*i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:20 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*v = l + 5, 6 = 5*l + 4*v. Suppose q + 12 = 3*q - 4*u, u + 3 = l*q. Solve q*n + 3 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 11 - 9 + 2 - 3*n**2 + n. Let x be f(-3). Let k be -6 - -14 - (x + 1). Solve u = 0, -4*g - 3*u = -k*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p - 2. Let g be j(3). Let x(a) = -a**3 + 14*a**2 - 15*a + 17. Let o be x(13). Let c be g + 0 + 2\/o. Which is greater: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.0888708 rounded to 3 decimal places?\nAnswer: -17.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6720\/(-55) - 4\/(-22). Let t = -65 - r. Is 28 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.31757932 to 3 decimal places.\nAnswer: 11.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 88244.3542 to the nearest 100.\nAnswer: 88200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -589 - -591. Is g\/10 + (-3351088)\/(-260) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6097862 divided by -1.\nAnswer: -6097862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/1344 - 1005\/48?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/10 + (-112)\/(-20). Let n be (-6)\/5*(-15)\/(-3). Let x be (n\/7 + -2)*-7. Solve -l*i = -0*i - x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*j - 9*n - 143 = 33, 5*j + n - 678 + 688 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/5 + 548892*a\/5 - 219556 = 0. Calculate a.\nAnswer: 2, 548890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**2 + 4*h + 5. Let x(d) = d**2 + d + 1. Let p(i) = -i**2 + 31*i + 141. Let n be p(-4). Give n*k(a) - 3*x(a).\nAnswer: -12*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcczczcfc. Give prob of sequence fc.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -92\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11777 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2200\/(-60))\/22)\/(5\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from vvvnvcnvncc?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/233070 and 2\/706065?\nAnswer: 24006210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 (base 15) in base 7?\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*h + 206*h - 74*h + 4*h**2 - 123*h**3 - 62*h + 2 as u*h + z*h**3 + a + s*h**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 69 = -4*y - 76, 0 = -2*c - 5*y - 38 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 253, 346, 439, 532, 625?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/6)\/(105\/9450*-30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/6)\/5)\/(15\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.55 times 47.9\nAnswer: 26.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/39)\/j)\/(j\/(j*j**(-1)))*(j**(-23)\/j)**(-18\/5) assuming j is positive.\nAnswer: j**(16448\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c - 1. Let h(j) = 53*j + 10. Let m(g) = -h(g) - 6*q(g). What is m(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 5. Let a = -558 - -559. Let r(f) = -f - 1. Determine a*o(n) - 5*r(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4*j. Let l be w(4). Let r be 1\/(-5) - (72\/(-20))\/(-2). Sort r, 5, l in descending order.\nAnswer: 5, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/1122)\/(15\/45). Put -1\/2, b, -1 in ascending order.\nAnswer: -1, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -418*g + 43477. Give i(104).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10886 is divided by 996.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 31 = -39 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 68. Solve 16 = -v + 4*a, 1 = j*v + 2*a - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*g + 2, -o - 2*g - 2*g - 6 = 0. Solve o*u = u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 7*d**2 - 4*d + 3. Let k(g) be the first derivative of g**3\/3 + 8*g**2 + 33*g - 42. Let f be k(-13). Calculate i(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.6, -2, 6, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10781\/8 - 1343. Let z be ((-488534)\/(-642))\/((-4)\/630). Let l = z + 119851. Calculate the common denominator of l and j.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-66)\/(-5)*(-2 + (-80)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14531 is divided by 4*483\/92 + -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqffffqoffoqfq. Give prob of picking 2 f.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -60*c**3 - c**2. Suppose -6 + 3 = 3*t. Does 15 divide b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.67768ml in litres?\nAnswer: 0.06567768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 270 = 65*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -66*r. Let z be w(-2). Suppose -2*i + 0*i - 2*a = -76, 4*i - a = z. Let y = 41 + -23. What is the remainder when i is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.41 and 1.4?\nAnswer: -0.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -35.5. What is the biggest value in q, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.011 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - j = 2*j + 5, 2*b + 2*j - 10 = 0. Suppose 0 = 3*f - g - g - 25, 29 = b*f + 3*g. Calculate the least common multiple of f and (-1)\/((-1 + 2)\/(-11)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4 - 4)*(0*x + x - 4*x)*(640 - 5*x - 1281 + 611).\nAnswer: -30*x**3 - 180*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(640) + -1*sqrt(250))\/((sqrt(1375) - sqrt(1375)*-2 - sqrt(55))\/(sqrt(44)\/(sqrt(4)*-1))).\nAnswer: -19*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -5.9. Let b = -33 + 38. Suppose -z - 2*z = 0. Put b, z, n in descending order.\nAnswer: b, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -33787*q - 709488. What is u(-21)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2\/5 + 156648208*g\/5 + 1533666316850704\/5 = 0.\nAnswer: -19581026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-308)\/(-33) - (-4)\/6. Let i = p + -7. Let m = 287 - 281. Solve -i*d = -3*f - m, -3*f + 2 = -0*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 846549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 3 - 4\/1. Suppose l = -12*m + 46 + 14. Let g be 242 - (-7)\/(105\/6)*m. Round g to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.175*4\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**3*u**3*w**2 - 4*m**3*u**3 + 294*m**3*u**2*w**2 + 2*m**3*u*w - 2*m**2*u**3*w - 2*m**2 + 11*m*u**2 wrt w?\nAnswer: -10*m**3*u**3 + 588*m**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/6 - 845*l\/3 + 1124 = 0. What is l?\nAnswer: 4, 1686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078094 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -135090 divided by -27018?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 2, i: 1, y: 6, k: 1}. Give prob of picking 1 e, 1 t, 1 k, and 1 y.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 663, 5, -4, 4, 3 in descending order.\nAnswer: 663, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/((-1)\/6). Let w = 42365 + -42370. Sort h, w, -3 in increasing order.\nAnswer: h, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 1 - 37 = 0. Factor -8*p + 4*p + p**2 + p**f - 4 + 0*p**3.\nAnswer: (p - 2)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48968 and 96088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48917047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24276 and 1785?\nAnswer: 121380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {l: 4, m: 7, z: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30473805 times -0.3?\nAnswer: 9142141.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148426 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (9 - (-6 - 9 - 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxyhp. Give prob of sequence pxd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201\/2 + -3817\/38. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388896.6 millennia in years?\nAnswer: 388896600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281 + 281. Suppose 28 = 3*a - s*a + 4*o, -4*a - 2*o + 54 = 0. Solve t = -5*y + a, -4*t - 4 = -t + 2*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263593937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p + 4*v = -5, 4*v + 15 = 3*p. Suppose 5*j - 487 + 57 = -p*o, -4*j + o + 349 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 370*a**3*g**2*z**2 - 2*a**2*g**2*z**2 + a**2*g - 5*a**2*z**2 - a**2 wrt a.\nAnswer: -60*a**2 - 2220*g**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -9188\/19, -1\/33, 5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20076)\/(-693) + 12035\/(-415).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -9616 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079 + 2?\nAnswer: 1.9921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 42 = -6*l + 3*l, -5*x + 94 = -l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/4*p**4 - 1\/5*p**6 + 9 - 3\/4*p**5 + p**3 + 0*p**2 + 5*p. Let o(t) be the first derivative of h(t). Factor o(d).\nAnswer: -3*d*(d + 1)*(d + 2)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 5\/4 (c) -0.133 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:39 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -48. What is the remainder when 39 + (16\/4 - l) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/77 and -53\/34111.\nAnswer: 34111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 58*s**2 - 22*s + 5. Let d(r) = 28*r**2 - 9*r + 2. Calculate -15*d(w) + 6*x(w).\nAnswer: -72*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgbgcb. What is prob of sequence ssbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -104, -69, -34, 1?\n\"Answer: 35*b - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 6, n: 5, x: 1, f: 1}. What is prob of picking 1 y and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4975.1720836 and 89.12.\nAnswer: 5064.2920836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 84050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3302954, -3302959, -3302966, -3302975, -3302986, -3302999?\nAnswer: -3303014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xga. What is prob of picking 1 x and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 2*g + 347. Give h(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471919955.\nAnswer: 5, 101, 727, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110010 (base 2) to base 14\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14647*a - 14647*a + 308*a**3)*(-2 + a**2 + 2 + (a**2 - a**2 + a**2)*(-2 - 2 + 2)).\nAnswer: -308*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*w + 4*w**4 - 33*w + 2*w**2 - w**4)*(-2 + 2 + 3*w) + (2*w**3 + 8*w**4 - 2*w**3)*(4*w - 7*w + 2*w).\nAnswer: w**5 + 6*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*f = 4, 240*l - 244*l = -3*f + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*z + 9*z**2 + 30*z + (0 + 0 + z)*(-2*z - 4*z + 2*z))*(7*z - 4*z + z) to the form d*z**2 + s + a*z**3 + v*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.71029 centuries in millennia?\nAnswer: 9.371029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11777, 4 in descending order.\nAnswer: 11777, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrxrxkxxskxkx. What is prob of picking 1 x, 2 k, and 1 s?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*b**2 + b + 557*b**3 - 84*b**2 - 188*b**3.\nAnswer: 369*b**3 + 27*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4755*a**2 - 2214.\nAnswer: -9510*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 339781*i**2. Let b(s) = -14*s**2. Give h(b(k)).\nAnswer: 66597076*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4540 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -668, -1275, -2058, -3017, -4152, -5463, -6950?\nAnswer: -8613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 13) to base 6\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139426*m**4 - 7*m**3 - m**2 - 191*m + 206514.\nAnswer: 1673112*m**2 - 42*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*(-7)\/(2\/(-2)). Let q be -22 + 29 - (4 + 1). Suppose 5*k = 5*r - 3*r - 122, 4*k + m = q*r. List the prime factors of r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(-19*a + 8*a + 45*a) as h + b*a and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12109889?\nAnswer: 11, 1100899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 82.\nAnswer: 17\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 160 = 2*s + 3*s, 0 = s - 5*x - 3. Suppose 0*b = 5*b - 20, 5*y + 5*b - 250 = 0. Let f = y - s. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26164.\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -2*o**5\/5 + 2*o**4 - 2*o**3 - 4*o**2 + 8*o - 39. Factor j(a).\nAnswer: -2*(a - 2)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 78 = -27. Let u(v) be the third derivative of v**4\/24 + v**3\/2 + 3*v**2. Let c be u(-5). What is the third smallest value in g, c, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 4*u - 3*u)*(27*u**4 - 67*u**4 + 122*u**4).\nAnswer: 164*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16688*m**3 + 2*m**2 + 63*m - 6 wrt m.\nAnswer: -100128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(14)*3 - sqrt(14))\/(sqrt(2)*2*-6)*4)**2.\nAnswer: 2023\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-30) - 233\/(-5) - 6. Solve k*x = 38*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, l: 3, p: 5}. What is prob of picking 1 d and 3 p?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52724878 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/4*1120\/(-840).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6063196 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 104 = 3*w, -w - 2 = 0. Let i = k - 25. Let g be 12\/(-30) - (-33)\/(-5). What is the third biggest value in g, -0.3, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 3, r: 4, d: 4}. Give prob of picking 1 u, 1 r, and 1 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*g**2 - 607*g**2 + 6*g + 46*g**2 - 24*g - 311*g**2.\nAnswer: -1047*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*h**4 + 33942*h + 3*h**5 - 34630*h - 11*h**4 wrt h?\nAnswer: 60*h**3 - 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + o**2)*(26 + 5*o**3 - 26 + (2*o**2 + o**2 - o**2)*(-10*o - 4*o - 4*o)).\nAnswer: -31*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17605 and 67655?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 91*d**2 + 2072*d - 388. Calculate w(-23).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2, -23, -171?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 12*a - 27. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z**(-1\/13))\/(z\/(z*z**0)*z)**(1\/24))\/((z**(-2\/7))**28)**(-22\/3) assuming z is positive.\nAnswer: z**(-18029\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + (-150)\/8)*8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 9382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3 + 10*a + 3 - 7*a. Let z(t) = 3*t. Determine z(v(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqqqqqqrqqrqqqqrqq. What is prob of sequence rrrq?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.9. Let f = a + -0.5. Suppose -2*z + 4 = -4*y + 14, -20 = -5*z - 5*y. Is z <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*f = 304*f - 16554 + 30117 + 37359 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 6*p\/5 - 8\/5.\nAnswer: -(p - 4)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-70) + 10704\/(-15). Let y = 761 + h. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 9:23 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3885)\/60 + -13 + (-70)\/(-40)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 5*q**3\/3 + 5*q**2\/2 + 2*q + 1. Does 15 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238828 (base 15) to base 2\nAnswer: -110011110111010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*k = -512, 0 = 12*k - 7*k + 15. Calculate the remainder when v is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(187)*3*-2)\/(sqrt(1331) - -5*(sqrt(1331) - -1*sqrt(1331) - sqrt(1331))).\nAnswer: -3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4b064 (base 13) to base 9\nAnswer: -230871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 349*x**2 + 488*x**2 - 62*x**2 + x**2 + 3*x - 3*x + (x**2 - 5*x**2 + 2*x**2)*(1 - 3 + 0).\nAnswer: 780*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*o, 4*o - 26 = 4*m + 9*o. What is the second biggest value in 4, 2\/29, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10177334 divided by 16934.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.5 (b) 4\/9 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 31. Let w be u\/2*14\/(-21). Let v(z) = -z**3 + 7*z**2 - 7*z + 6. List the prime factors of v(w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, 3, -4, 0.2, 141, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -23*a - 20. Suppose a*n + 3*i - 32 = 7*i, 5*n = -i + 17. Solve m = n*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*j - 23*j = -139*j + 87*j + 23652 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - -0.3. Let w = -16.13 + 16.03. Which is the nearest to 0.1? (a) 0 (b) w (c) l (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-375)\/50*(-1)\/(3*1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12231243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -583120 = 0.0565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4173738 to the nearest integer?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c**2 - c + 2. Let z be x(-3). Suppose -3*b - 40 = -5*b. What is the greatest common divisor of z and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 21*x**2 - 13*x. Let s(v) = -6*v**3 - 62*v**2 - 36*v. Let d(h) = 20*m(h) - 6*s(h). Suppose d(q) = 0. What is q?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/9)\/(-14*(-32)\/(-672))*-33 + 1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -1, -4, 1, -18, 13492 in descending order.\nAnswer: 13492, 5, 1, -1, -4, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 13 - 25. Let j(i) = -93 - 2*i**3 - v*i + 51 + 41 + 4*i**2. List the prime factors of j(-4).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -63201, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11956702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14302261 (base 7) to base 12.\nAnswer: -54a6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 87\/30)*-2. Is n >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 630\/(-27) - 4\/6. Let h be 1\/(-4 + (-92)\/a). Which is smaller: h or -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267824 a multiple of 1299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 3*b**4 + b**4 + (3*b**4 - 3*b**4 - 2*b**4)*(-3648 + 1661 - 1170) in the form l*b + v*b**4 + i*b**2 + q + c*b**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 3*g + 627, h - 124 = 2*g. Suppose 2*t + h = -0*t. Let w be (0 + -1 + t)*10000. Round w to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 17*w - 4. Let d be (-1 - -77)\/4 + 1. Suppose d = 4*i + 8. What is the tens digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -498114, -498122, -498128, -498132?\n\"Answer: x**2 - 11*x - 498104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15582525.\nAnswer: 3, 5, 7, 67, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2548 + -17777\/7. Calculate the common denominator of 2\/9 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/5 - -107\/15. Let n = -6463\/3465 - -4\/495. Calculate the common denominator of n and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 3*x**2 - 4*x**2 - 4*x - 3*x**2 + 1. Let y be q(-3). Solve -2*i - 5*f - 11 = 2*i, 0 = -4*i + y*f - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63.9 - -63.7. What is the closest to k in -5, 4\/9, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -94458 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*z - 7, 120*d - 121*d = 4*z - 19 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 93*c + 20 - 128*c.\nAnswer: -221*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 + 10*j + 31. Let g be x(-2). Solve -5*z + 16 = -4*m - g*z, -5*z = -2*m + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:19 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12332348 - -17758.6\nAnswer: 12350106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 23*c**2 - 60*c - 5. Give r(-11).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1037.56 + -1035. Round d to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*s - 449, -4*z - 596 = -s - 3*s. Let m = z - -153. Let c(b) = 10*b. What is c(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93.88 - 94.2. Let b = -568 + 582.32. Let w = b + r. Is w smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(((-91)\/28)\/(-13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**3 + 7*c - 2. Calculate z(3).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*m - 15 = 0, -v - 22*m = -19*m - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/(-38) + 22 - 24)\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3823, 3813, 3813, 3829, 3867?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**3 + 1297320*h**2 - 1297325*h = 0.\nAnswer: -259465, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1025 - 171 = -i, -i - b + 1196 = 0. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1540.359 - 1540. What is the closest to -0.1 in -3, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 + (6194\/513 - 3) - 9102\/2592 and (2\/45)\/((-36)\/2235)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 12 = -2*q, -4*q - 157296 = -v - 157320 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {b: 4, z: 5, q: 2, v: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -422, -855, -1326, -1859, -2478, -3207, -4070, -5091?\n\"Answer: -4*n**3 + 5*n**2 - 420*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3280 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 147\/140)*(-3)\/(48\/(-40))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from {l: 2, t: 3, z: 1, x: 3, a: 6}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10 = -a, 17*a - 15*a = -6*c - 28 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 28*a - 108. Solve -5*q + 15 = -a*b, 3*q + 26*b - 31*b - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102096260*z**4 + 35274027*z.\nAnswer: 1225155120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 8.3, -2\/23, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1748 - 6?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 20 = -10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/17, 1\/6, -5, 2\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*v - v + 5700, 5*u = -5*v + 7120. Solve -1470 + u = -7*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w + 6. Let l(d) = -210*d - 85. Let j(r) = 85*c(r) + 6*l(r). Let k(n) = -n - 6. Let g(q) = 2*q + 8. Let v(i) = -3*g(i) - 4*k(i). What is v(j(f))?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -2)\/((-6)\/(-9)). Let j(g) be the third derivative of g**5\/60 + g**4\/12 + g**3\/2 - 2*g**2. What are the prime factors of j(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29898 and 35.43.\nAnswer: 29933.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -a?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/2 - 4*d**3\/3 + 3*d**2\/2 + 20. Determine x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35593529 divided by 450551\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*p - 18 = 0, 2*q + 2*p + 31 = 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -92230?\nAnswer: -92226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.614325 - 3.215569. Let o = -9.83 - a. Round o to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.83, 31, 1, 5?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(8\/9))*((f**6\/f)\/f)\/f)\/(f*f\/f**(-7)*f**10) assuming f is positive.\nAnswer: f**(-136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nneeuunnekexkenexe. What is prob of sequence knu?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 231 = 195 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 3*i + 40, -h + 20 = -4*i + 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402 - 3231433?\nAnswer: -3231031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2. Let n(r) = -r + 11. Let v be n(9). Let i(p) = 2 + 5*p**2 - v. Determine i(u(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 2750440 = -143*h. Is h a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, and 2 w when four letters picked without replacement from swwwsfr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 7*w**2 - 11*w - 12. Let p be u(-4). Let d = -48 + p. Let f be (-4)\/(-5) + 1\/(-2). Which is greater: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 14, 5.\nAnswer: -4, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1527 from -3052471070.\nAnswer: -3052469543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*g**2*k - 64*g**2 - 83*g*k + 2*g - 3 wrt k.\nAnswer: -26*g**2 - 83*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/2)*q\/(q*q*(q*q**(-2\/17)\/q)\/q))**(-28)\/((q**(-3\/2)\/q*q*q)\/(q*q**5)*(q**(-2\/7))**(-46)) assuming q is positive.\nAnswer: q**(-19025\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 610362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 6*r = -365. Let m = -1 - -20. Calculate the remainder when r is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009215 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147546 divided by -24591.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -78.7. What is the second biggest value in -1\/2, r, -10, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/20 - 5*h**4\/6 - 3*h**3\/2 + 2*h**2 - h. Let f be s(-9). Let g(j) = 5*j + 1 - 1 - j + j**2 - f. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 8. Let g(q) = q - 8. Calculate 2*g(k) + 3*s(k).\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70697383 is divided by 78.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140682 is divided by 203.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 488\/10 + -5*59\/25 + 10. Solve 0 = -5*t - 27 + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 1, -0.3, -348.3, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56211*d - 2*d**3 - 28170*d - 28041*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**3\/6 - 3*t. Let v = 1 - -2. Let l(f) = -5*f + v*f + 4*f - 4*f. Give l(o(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28581.\nAnswer: 3, 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i + 0*i + (-1 + 2*i + 1)*(3 - 5 + 0) + 6*i - 2*i - 3*i + (0 + 2 - 1)*(-166*i + 28*i + 42*i) + 6*i - 4*i + 0*i.\nAnswer: -95*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 184 and 0.729.\nAnswer: 184.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 (base 12) in base 11?\nAnswer: a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:24 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -55. Suppose u*l - 22*l + 144 = 0. Suppose 5*s - s - l = 2*r, 3*r = -3*s + 36. Put s, -4, 0 in descending order.\nAnswer: s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*i - 213*i - 3040 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 27929.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.1 + 1.1. Put c, 0.3, -1\/2 in decreasing order.\nAnswer: 0.3, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -637 - -959. Calculate the highest common factor of x and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-3 + sqrt(304) + 0)**2 + sqrt(304) + (-5*3*sqrt(304))**2 + (3 + sqrt(304) + (sqrt(304) - sqrt(304)*-1) - sqrt(304))**2.\nAnswer: -20*sqrt(19) + 70569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 22045?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -169 + 110 + -39 - (-46 - -1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 2*h = 11*p + 13*p + 33 - 28, 3*p - 11*h = 58 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 826 (b) 1\/3 (c) 769 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103181 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: Suppose 133 - 163 = -6*j. Suppose j*m = -2*a + 849, -10*m + 9*m = 2*a - 165. What is the remainder when m is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*u = 103*u + 156030000. Round u to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 9*u**2 - 18*u + 1. Let s be h(6). Let l(p) = 952*p**2 - 11*p + 12. What is the hundreds digit of l(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/120 + c**5\/10 - c**4\/24 - 4*c**3\/3 - 3*c**2 - 119*c + 20. Let z(t) = -4 + t + 1 - 3. Let s be z(0). Give g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 1 + 7 - 0 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 0*t**2 - 4*t**2 + 6*t**2. Let m(w) = 51*w**2. What is m(n(g))?\nAnswer: 204*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 25 - (-5 - (8 + -12))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1 + 13 - (1 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/12)\/((-2)\/6). What are the prime factors of 2 - -16*a - -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, r: 4}. What is prob of sequence rr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21547651?\nAnswer: 257, 83843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 8571\/929 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2554874 * 9.\nAnswer: -22993866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123970560?\nAnswer: 2, 3, 5, 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69608 - 34807 - 34801 - 6*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, o: 1, z: 2, i: 3, g: 1}. Give prob of picking 2 i, 1 g, and 1 o.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 556 - 518. What is the remainder when 529 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29266 is divided by 811?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -51 + 9. Is 34330\/5 + -6 + j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 476.5 + -477. Let s = 2 + -2.1. Which is the second smallest value? (a) s (b) 3 (c) 2\/7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 - 10*p**2 - 3*p - 7. Let l(h) = -10*h**3 - 15*h**2 - 4*h - 10. What is 5*l(x) - 7*w(x)?\nAnswer: -x**3 - 5*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 141289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*4*(3*sqrt(133)*3)\/(sqrt(847) + sqrt(847)*-1 + sqrt(847)).\nAnswer: -216*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 142*p**2 - 829*p - 35. Give u(6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from jflgffhfgfffmff.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -12 (b) 3 (c) -496 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -2\/9 (c) -5.2 (d) 180 (e) -0.1 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -295, -450, -605?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 k, and 1 m when four letters picked without replacement from rwkkrmkrmkkrrwrrkrrr?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444856361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {v: 4, u: 5, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 171*h**3 - 27*h - 27. Let n(z) = -2*z**3 - z - 1. Calculate -27*n(q) + y(q).\nAnswer: 225*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -141340255 (base 6) in base 5?\nAnswer: -1213442020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, s: 2}. What is prob of sequence sso?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 9:19 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1459038*v**4 - 1605362 wrt v.\nAnswer: -5836152*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4137, -7565, -10991, -14415, -17837, -21257?\n\"Answer: m**2 - 3431*m - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0588? (a) 4 (b) -2\/5 (c) -3\/5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:24 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.9. Let g = -0.8 + s. Which is the nearest to -0.1? (a) -5 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*j + 22 = 4*t - 2*j + 3*j, 0 = 222*j - 220*j - 8 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 3 = 4*z + 23*q, 2*z = 5*q + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3\/5 (c) -5 (d) 1055 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k**2 - 2*k**3 + k**3 + 47*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 174 - 618 = 0. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 12716*g**3 + 25448*g**2.\nAnswer: -4*g**2*(g - 3181)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1157 and 7387?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 14*x - 612. Let f = -46 + x. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/1009 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75053813.\nAnswer: 75053813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10332174?\nAnswer: 2, 3, 1722029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-9 - (-9 + 7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2034, 2035, 2036, 2037, 2038, 2039?\nAnswer: 2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 373*q**2 - 201*q - 74798. Give k(-373).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 409dec (base 16) to base 9\nAnswer: 7863857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2575 = -5*d + 6920, 3*d = 5*o + 15809. What is o rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa - -5?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tteeeeteee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 714245977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21647 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3244404?\nAnswer: 3244401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*t**2 - 38*t**2 + 3*t**3 + 1 + 3*t + 15*t**2 - 2*t**3 to n + a*t**2 + i*t + c*t**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39, 171, 393, 705?\n\"Answer: 45*d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -s + 6 + 20, -9 = -4*s + 3*o. Suppose -d = -s + 4. Suppose -2*q + w = -2*w - 4, -q + 9 = d*w. Calculate the highest common divisor of q and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117916909?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 6*m + 0*m + (6 - 1 - 2)*(-2*m + 2*m - 2*m))*(m + 0*m - 2*m) to i + r*m**2 + s*m and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Suppose -3*p = p - 52. Let c(y) = 13 + y - p. Determine c(o(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17296 = 410*k - 418*k. Suppose 2*f + 3*w = 2176, -2*w - 2*w - k = -2*f. List the prime factors of f.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqffqf. Give prob of picking 3 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1560 - -4?\nAnswer: -1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1460017?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2010113 - -20?\nAnswer: 2010133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -356*((1 - 0)*1 + -2). Suppose q - 3*l + 255 = 4*q, -4*q + y = -4*l. 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: Let y(q) = -10*q**2 - 2*q + 116. Let k(m) = -30*m**2 - 6*m + 348. Let n(j) = 6*k(j) - 17*y(j). What is the first derivative of n(u) wrt u?\nAnswer: -20*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + 8 - (-536 - -579)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32203 - 1410?\nAnswer: -34113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2082*k - 11076 = -2088*k. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3950107 to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 9) in base 11?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 32*a**2 + 67*a + 2706. Give y(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 645 and 66.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6994324 divided by 454\nAnswer: -15406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**2 + 7*a - 2. Let p(m) = 8*m**2 - 7*m + 2. Determine 4*p(q) + 5*u(q).\nAnswer: -3*q**2 + 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3 + -1 - (22 + -123 + 164)) + 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21 - 615\/(-30))\/((-1)\/240). What is the greatest common divisor of f and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k - 18. Let t be z(-5). Let r be 0 + 2\/((-28)\/6). What is the third smallest value in -0.3, r, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68118901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 46, 63, 80, 97?\n\"Answer: 17*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 9) + (-15 - -16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 12) in base 4?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+584961\nAnswer: 584961.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i**3 - i)*(3*i - 4*i - 2*i) - 15*i**4 - 15*i**4 + 12*i**4 + 3*i**4 - 2*i**4 + 0*i**4 + (-9*i**2 - 7*i**2 + 0*i**2)*(-4 + i**2 + 4).\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361244?\nAnswer: 2, 3, 113437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -83320128 divided by -153?\nAnswer: 544576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:06 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2 + 3 + 7*i - 6*i - 2*i. Let r be b(0). Suppose 5*p = 3*h - 0*h - 19, 0 = -4*h - r*p + 2. Solve -5*o - h = -18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6336) + 1 + sqrt(6336))**2 - (-3*(-1 + sqrt(6336)))**2.\nAnswer: -31680 + 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12014 + 3?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (1 + 3*sqrt(1300) + -3 + sqrt(1300))**2 + -5 + (sqrt(1300) + 2 + sqrt(1300) - sqrt(1300)) + 0.\nAnswer: -150*sqrt(13) + 20802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.5032 litres to millilitres.\nAnswer: 25503.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 689 - 124 = 0. Let m = l + 49. Let v = m + 98. What is the highest common divisor of v and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21494798?\nAnswer: 2, 13, 826723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from bqvjqrbjtrrttb?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:45 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7802524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144526 (base 8) in base 14?\nAnswer: 14ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 0.74 * 0.2\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -136, -308, -548, -856, -1232, -1676?\nAnswer: -2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = -10. Sort j, -1, -2 in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -5\/3, 64, -5?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5314350773?\nAnswer: 17, 18388757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23453236 + -14?\nAnswer: 23453222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-3 - -17) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s - 22. Suppose 3 + 29 = z. Calculate the remainder when z is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x - 4. Let l(s) = s - 1. Let p(v) be the first derivative of v**2\/2 - 3*v + 3. Let k(c) = -2*l(c) + p(c). Determine -2*g(r) + 9*k(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 17*h - 10. Let g(k) = -k**3 + k**2 - 2*k + 75. Let t be g(0). Suppose 0*n = -5*n + 3*z + t, 0 = n - 5*z - 15. Does 10 divide f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 8 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.28 - 0.3. Round k to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/4))\/y)\/y*y**3\/y*y**(3\/5)*y**(-6)*y**(-2)*y*y*y*(y\/((y\/y**8)\/y))\/y*y*y*y*(y\/y**(-2\/21)*y)\/y*y*y\/y**(2\/11) assuming y is positive.\nAnswer: y**(49727\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from rajdj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*m - 56. Let r(b) = -b**2 + 29*b - 22. Let q be r(27). What is the highest common divisor of m and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 10*b + 11*b + 21*b + 138 - 80.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 850 + -459. What is the greatest common factor of 23 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*a - 3*f + 578682, 0 = -2*a + 3*f + 385788. Suppose 163*r - a = 157*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202 by -534.\nAnswer: -101\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 732 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*l**3 - 14*l**2 + 14*l**2 + 147*l**3.\nAnswer: 424*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5 + 33)*(1 - 2 + 0)*(-5*n**4 + 14*n**2 - 14*n**2 - n**5).\nAnswer: 46*n**5 + 230*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.4 + 23.4. What is the nearest to 0.1 in k, 2, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 5 = -4*f. Let o(h) = 6*h + 17. Let m(t) = -t - 1. Let w(q) = 5*m(q) + o(q). Calculate the remainder when w(5) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129601470?\nAnswer: 2, 3, 5, 19, 227371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let k(a) be the first derivative of 0*a**o + 0*a + 6\/5*a**5 - 3\/2*a**4 - 1 - 1\/3*a**6 + 2\/3*a**3. Factor k(b).\nAnswer: -2*b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58459871 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - (1 - 35). Suppose -3*t = -3*c, -2*c + 3*t - w = -6*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5 = c - 7, c = -4*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 46, 99, 174, 271, 390, 531?\n\"Answer: 11*p**2 - 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14571239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2*y + 6 - 6) - y + 7*y + 10*y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 84. Calculate the greatest common factor of q and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 3, w: 2, i: 4, y: 1, c: 1}. What is prob of sequence bbv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 6) to base 15.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 335*f**7\/21 - 5*f**3\/2 - 7*f**2\/2 - 712*f. What is the second derivative of x(t) wrt t?\nAnswer: 13400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*b - 29*b - 34*b to s + c*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6188 - 9416 + 4*a - 5*a as z + w*a and give z.\nAnswer: -3228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 717*d**3 - 23 + 40.\nAnswer: -717*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2445 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 2 - 5 + 3 to the form m + j*s and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31188 (base 13) to base 8.\nAnswer: -254141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 10 = 5*l. Suppose -l*h + 10 = 4*q, -4*h - 10 = h + 3*q. Let k(c) = -c**3 - 6*c**2 - 5*c + 1. Give k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8648201356*h + 8648201356*h - 7*h**2 - 33*h**2.\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.7193 - 22.019224. Let t = -4.7 + m. What is t rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 72 = -4*a. Is 19*(-1 + a)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13247 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (120\/(-28))\/(-5)*14. Let x = 14 - w. Let b = x + 29. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20702546?\nAnswer: 2, 61, 169693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((sqrt(76) + -1 - sqrt(76)) + -1 + sqrt(76) - 6*(-1 + sqrt(76)))**2)*-4.\nAnswer: -960*sqrt(19) + 23040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80\/32*(-2)\/1. Let s = 7.9 + -7.6. What is the nearest to -3 in s, 2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60258 and -4.89.\nAnswer: -60262.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 47012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.18, 5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, f: 15}. What is prob of picking 1 f and 2 v?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3275 and 6419.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -171971.7 - 0.367265?\nAnswer: -171972.067265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -1069, -1641, -2237, -2857, -3501?\nAnswer: -4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43 and -23\/43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 26, 33, 34, 23, -6?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 1938783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)\/u*u*((u\/(u**3\/u)*u)\/u)\/u)**31*((u\/(u*u**0))\/u)**(-38)\/(u**(-1))**(-25) assuming u is positive.\nAnswer: u**(-183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6790277?\nAnswer: 13, 19, 37, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (13 + -46) - 14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 28700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2\/5, -2\/115, -3\/29?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 670\/449 and -31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.109, -0.1 in ascending order.\nAnswer: -0.109, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3192)\/(-448) + 0\/(-1) + -7.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v = 49*v + 4, -x + 2*v - 9 = -3 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -61\/8, 0?\nAnswer: -61\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 67, 108, 167, 250?\n\"Answer: n**3 + 22*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4a (base 12) to base 16\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/((-8)\/(-4))*(-2162)\/2162.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2 + 4. Let v be g(0). Suppose -d - v = 2. Let f(a) = a**3 + 6*a**2 - a + 8. Calculate the remainder when 39 is divided by f(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -2, -9, -0.2, -0.1, 132\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 2*h**2 + 3*h - 1. Give w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002200 - -2120?\nAnswer: -2000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 3. Let z be c(-2). Suppose 4*q = z*q. Suppose 31 = -q*f + f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4\/5, -9 in increasing order.\nAnswer: -9, -1, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.338 (b) 35 (c) 464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33553441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 4 = -26*j. Let w(q) = 2*q**2 + q - 4. Calculate w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 11*g - 13. Let h be a(-12). Is -0.4 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 17*o**2 + 41*o. What is p(-14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 104, 887, 3024, 7193, 14072, 24339, 38672?\n\"Answer: 113*q**3 - q**2 - 5*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**5\/120 + 11*n**4\/24 + 41*n**2 - 104. Let l(q) be the second derivative of u(q). Factor l(t).\nAnswer: -t*(t - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -32*r**3 - 7*r**2 + 9*r + 61. Is p(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - r - 7*r + 9*r + 5*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, b: 1}. What is prob of picking 1 b and 3 q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 8*w - 12 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174086 by -55.\nAnswer: 15826\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)*(g**(-1\/14)*g)\/g)\/(g*g*(g\/(g**(-3\/2)*g))\/g*g)**7 assuming g is positive.\nAnswer: g**(-1562\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 3. Let h be y(2). Let u = -18 + 22. Suppose u*z = h*z - 2. Solve 3*w - 4 = 8, 0 = -z*p - w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/10 - c**3\/2 - 129*c**2 + 2. Let t(a) = 5*a**2 + 2. Suppose i + 2*b + 2 = 2*i, 5*i - 21 = -b. What is i*n(g) + 5*t(g)?\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1015272 + 310?\nAnswer: 1015602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3718612 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/70739 or -7?\nAnswer: -1\/70739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= 2207\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - q + 80 = 0, 3*q = -295*y + 291*y + 160. Suppose -3*b + 0 = 3*j - 3, b + 7 = j. Let r = j + 4. Calculate the greatest common factor of y and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-16) + (-2 - 222\/(-80)). Is 2\/17 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15e - 889d?\nAnswer: -873e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -188, -384, -604, -854, -1140?\n\"Answer: -f**3 - 6*f**2 - 171*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, -41, -184, -471, -950, -1669?\n\"Answer: -8*u**3 + 9*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 59 = -375. Suppose 4*q = 16, -p = 5*s - 0*s + 3*q. Let o be (s\/(-51))\/((-17)\/3). What is the smallest value in o, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.29 (b) -1\/4 (c) -3\/4 (d) -4\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*c - 3*c + 5*k, 3*k = 4*c - 15. Suppose c*r = r - 85. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c + 9. What is the units digit of k(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1052313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 2*o + 1. Let r(v) = -6361*v**2 + 62*v - 4. Let f(d) = r(d) + 5*u(d). What is the second derivative of f(y) wrt y?\nAnswer: -12712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 - 3*n**2)*(-2 + 2 + n + (-447*n + 329*n - 496*n)*(-1 - 1 - 5)).\nAnswer: -12897*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0*y**2 - 2*y**2)*(18 - 22 + 15)*(-3*y - 4*y + y + (1 + 5 - 5)*(3*y - 6*y + y) - y - y + 3*y).\nAnswer: 231*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 15*j**2 + 12*j + 34. Let w be b(14). Calculate the smallest common multiple of 2 and ((-11)\/(-2))\/(0 + 3\/w).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 41*u - 232. Let p(z) = -123*z + 699. Determine 7*g(v) + 2*p(v).\nAnswer: 41*v - 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -21*(2 - 32\/12). Let a be (c\/(-4))\/7*-88. Suppose -5*u = -1 - a. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8532 and 12561.\nAnswer: 452196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.082372 and 15109.\nAnswer: 15112.082372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.70292 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2469 - -3556. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {n: 3, l: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/12031092 and 59\/677808.\nAnswer: 48124368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-82)\/(-14) - -2 - 2\/(-14). Let i be g\/(-28)*(-378)\/(-72). Let j = -1 + 2. What is the nearest to j in 2\/19, i, -1\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r + 25. Suppose -3*t + 1 = -17. Let q(s) = s**3 - 7*s**2 + 5*s + 1. Let f be q(t). Put 3, f, r in increasing order.\nAnswer: f, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 80. Suppose 5*z - t = z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5277 = 733*w + 8260 + 20473 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 199232*b**2 - 1 + b**4 + 2*b**3 + 6*b**4 - 199206*b**2 in the form h + i*b**2 + l*b + r*b**4 + g*b**3 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 3*d**2 - 3*d - d + 2*d. Does 14 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311\/210 + 2\/105. Let c(k) be the first derivative of -5 + 4*k - j*k**2. What is the derivative of c(t) wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 0.7\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 178 = 4*d, d + 2*y + 60 = 18. Let o be (-5)\/6*d\/55. What is the third smallest value in o, -1, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122694 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5710 (base 9) in base 5?\nAnswer: -113341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3529858 and 1805?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + 7 - (-113 - -118)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 8) to base 16\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13436 less than -946?\nAnswer: -14382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 154, 297, 440, 583?\n\"Answer: 143*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 81*v - 4. Let o be h(-5). Let b = o - -2879\/7. Solve 6\/7*y**3 - b*y**2 + 2*y - 4\/7 = 0 for y.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v**2 + 6*v + 18. Let d be y(-2). Factor -2\/7*i**d + 6\/7 - 4\/7*i.\nAnswer: -2*(i - 1)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77))\/sqrt(7) + 3.\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 5*d**2 - 50*d - 6. Determine c(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.067 + -2.967. Let z = -3 - m. Let w be 5 + -9*4\/6. What is the third biggest value in z, w, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 2. Let z be m(2). Let u = -0.16 + -0.24. What is the closest to z in 3\/2, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3159\/260)\/(-9)*12\/48*-16?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11223653 (base 7) in base 6?\nAnswer: -33005305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404473.57 rounded to the nearest one hundred?\nAnswer: 404500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:11 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 39*x - 43*x, -5*x - h + 23 = 0. Factor -1\/3*z**x + 5\/3*z + 1 + 1\/3*z**2.\nAnswer: -(z - 3)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077809.\nAnswer: 61, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + (-2)\/(-6). Let p be 1 + c\/(0 - -2). Solve l = -p - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*r*w**2 + 253*p**2*r - p*w - 5*r*w - 11*w**2 - 7*w wrt p?\nAnswer: 6*r*w**2 + 506*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*b = 206*b - 100 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 874799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = -4*x, -2*x = 5*c. Solve x*a - a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -124.\nAnswer: 19\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.768 + 33.8. Let r = 10 - 12. Let x = v + r. Round x to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose 2*h - 4 = 3*k, 3*h = -4*k - g*h + 33. Let q be -3 + 253\/55 + 2\/5. Is q <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 - ((-6 - 1) + (24 - 2))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 12*z**2 + 34*z + 6. Let d be x(7). Let l(n) = -n**3 + 5*n**2 + 3*n - 6. Let p be l(5). Let j be -3 - d*(p + 2). Which is bigger: 9 or j?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 101*q - 128. Let z(g) = 4*g**3 - 204*g + 256. Let j(u) = 7*i(u) + 4*z(u). Find the first derivative of j(l) wrt l.\nAnswer: 6*l**2 - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7921119 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -935 - -934.7. Let t = -8.79 + -0.21. Sort f, t, -2.\nAnswer: t, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (36 - 15 - 8 - 41).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16720 = -29*v + 17155 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-7 + -4 + 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(10*(-6)\/540))\/((-2)\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + 10 - (322 - 317) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/((-20)\/3)*(2 + (-100)\/48)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 5*i - 4. Suppose -2*w = -5*z - 2 - 4, 0 = -2*w - 4*z + 24. Let c(r) = 6*r**2 + 5*r**2 - 9*r - 5*r - 6 - 5. Determine w*h(k) - 3*c(k).\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:08 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23245 + 14560. Is (14\/7)\/(6\/f*-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 35*a**3 + 2 + 36*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j - 4. Let h(t) = 4*t - 1. Let z be h(1). Calculate the remainder when y(z) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-108)\/(-8)))\/((-2)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z + 70 = 48*z. Let g(n) = 373*n + 14. Let v be g(z). Let t = v + -3033. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100100 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/30 + z**4\/12 + z**3\/6 + 9*z**2. Give b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 3 (c) -13567 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/20*4 - (-396)\/20. Suppose 23*b + v + 10801 = 28*b, 0 = -5*v + x. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857529411 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + x - 460426 = -2012373, -3*x = -4*k + 2069256. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j. Let u(d) = 15*d + 38. Let q be u(-2). Let p(r) be the third derivative of 7\/12*r**4 + 0 + 0*r**3 + 0*r + 5*r**2. Calculate q*n(k) - 5*p(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 220*v**2 + 72*v + 190. Let f be l(73). Solve -f + 123 = -a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Suppose -3*t + g - 10 = 2*g, -18 = j*t + 3*g. Let u = -1 + 2. Put u, t, -1\/2 in ascending order.\nAnswer: t, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 28 - 8. What is the remainder when 2\/1 + (-20)\/t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879266591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*a**2 - 1)*(143 - 146 - 16*a**2 + a**2) to h*a + r*a**4 + k*a**2 + u + i*a**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.9. Let g = -42 - -58. Let s = g + -15.92. Which is bigger: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*p + 103, 5*p + d + d - 107 = 0. Suppose -3999*q = -4008*q + 648. Calculate the remainder when q is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.5 + -32.739. Let o = i - -0.22. Round o to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + 51. Let y be f(5). Let t(i) = i**2 - 14*i + 38. Let c be t(y). Solve -c*o = -4*m - 18, -4*o = -2*m - 4 - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*r - 3 = -15, -3*q + 12 = 2*r. Solve -2*p = 6 + q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 + (-56)\/(-6). Let z be (3 - (0 + -367))*c. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfrfssiisnnees. What is prob of sequence nn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let m(s) = 503*s - 2. Calculate m(n(k)).\nAnswer: -503*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -77*s**2 + 21*s - 56. Let i(b) = -7*b**2 + 2*b - 5. Let z(g) = 56*i(g) - 5*k(g). Find the second derivative of z(v) wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11313558 divided by -131553.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4745693501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182292 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 103828?\nAnswer: -3114.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 7*r + 5 = 0. Suppose r*q - 7*q - 4 = 0. Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/10)\/((-68)\/(-611)). Let u = p - 2\/85. Find the common denominator of 99\/16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.04 (c) -11670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-136)\/14 - 8\/28. Suppose 10*u - 5*u + 2*l - 728 = 0, 4*l - 304 = -2*u. List the prime factors of (-4)\/v - u\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 886 - 880 = 0. Let g(v) = 9*v**2 + 3*v + 2. Let i be g(-1). Suppose 3*u = 2*u + 1. Put i, u, y in ascending order.\nAnswer: y, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*k + 10. Let p be ((-4)\/k)\/((-6)\/(-27)). Find the third derivative of -t**2 + 2*t**2 - p*t**4 + t**4 wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98 or -1075?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f**3 + 4*f**2 + 4*f - 7. Let b(h) = -17*h**3 + 7*h**2 + 7*h - 13. What is 6*b(m) - 11*n(m)?\nAnswer: -3*m**3 - 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -24*n**3 + 5*n**2 + 7*n - 5. Let t(f) = f**2 + f - 1. Let z(j) = -6*t(j) + x(j). What is the units digit of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -74*z**2 - 201*z + 20358. Calculate x(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -3, -0.4, -0.37, 9, 1\/216?\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 29842 = -14922. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4478583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2 - 4455*x - 1734344 = 0.\nAnswer: -4024, -431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30564 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -236*s**7\/7 + 25*s**3 - 199. What is the third derivative of y(v) wrt v?\nAnswer: -28320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 4. Let g be j(0). Factor 5*s**5 - g*s**3 + 0*s**5 - 9*s**5 - 8*s**4.\nAnswer: -4*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:18 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115, 120, 127, 136, 147?\n\"Answer: y**2 + 2*y + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2952\/108 + -28)*4\/(16\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539814.\nAnswer: 2, 3, 11, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:55 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6527535 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 6:19 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5969\/(-1222))\/((-325)\/(-8450)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -15, -34, -69, -126, -211, -330, -489?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*v - 6 = 0, -t + 3*t = -4*v. Solve -4*h = -2*h + t*f - 10, -2*f = -3*h + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29785870 to the power of 1\/2, to the nearest integer?\nAnswer: 5458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 a factor of 46887197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, -389, -5, -6, -19 in increasing order.\nAnswer: -389, -19, -13, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/15)\/j*j*j**(-4)*j*j*j)\/(j\/j**1)**(1\/28) assuming j is positive.\nAnswer: j**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17481, -17491, -17501?\n\"Answer: -10*f - 17471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15*n**3 + 17*n**2 + 8*n - 8. Let u(k) = -5*k**3 - 5*k**2 - 3*k + 3. Calculate -3*t(a) - 8*u(a).\nAnswer: -5*a**3 - 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhnnhhhnhnh. What is prob of picking 3 h and 1 n?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*w - 722*w + 11998 = -145*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 85*i**3 - 7*i**2 - 3*i + 22. Does 21 divide r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -650305, -650298, -650291, -650284, -650277, -650270?\n\"Answer: 7*g - 650312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 12. What is the smallest common multiple of 7 and q(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**4\/4 + 7*b**3\/3 - 7*b**2\/2 + 4*b - 1. Let g be -1 - -3 - 6\/(-3). Does 16 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115826200 and 1891040.\nAnswer: 463304800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 19 + 15 = 0. Suppose -2*r + t = -11, f*r - 10 - 47 = -5*t. Solve -3*j - r + 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h + 8*h = -360 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/18475981 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*d = -6*d - 42, 5*r = -2*d + 188. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 45648944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8132 + 4731 = 3*b + 4*v, 0 = 4*v + 4. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 190185\/67, -6 in increasing order.\nAnswer: -6, 0.4, 190185\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-3))\/(6\/(-9)). Suppose 5*i + 26 = -2*g, g + 2*i + 19 = -w*i. Is 269 - (-4 - g)*-4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 49 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 722835006 to the nearest integer?\nAnswer: 26886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciccccckiccik. What is prob of picking 1 k and 2 c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*j - 10*j, 3*t - 5*j = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/185590 and 53\/55677?\nAnswer: 556770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120358 is divided by 60097.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973 is divided by 838.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4. Suppose -i = -3*n - 2*m + 14, -5*n - 5*m + 30 = 0. Suppose -l + 9 + 13 = 0. Solve 4*z - l = 2*w, 3*z - n = z - 4*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:27 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*q**2\/10 - 4499*q\/5 + 5235\/2 = 0 for q.\nAnswer: 3, 8725\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2) - 5) + 1. Let s be (-1 - 0 - -3)\/(23\/23). Let z = -1 + 0.9. What is the closest to -0.2 in s, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5080072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let r(q) = -6*q**2 - 5*q. Let y(b) = 7*b**2 + 6*b. Let f(o) = -6*r(o) - 5*y(o). Determine m(f(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -22 + (1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 2.597.\nAnswer: -1.8179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)*t**(-2\/21)*t**(-1)*t\/t**(1\/2)*((t*t**(-7)\/t*t)\/t**(-7))**26 assuming t is positive.\nAnswer: t**(5251\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112096 a multiple of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114112 is divided by 149.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/97 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.8 - -12. Which is the biggest value? (a) -1 (b) w (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 13) to base 14.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*x = -118, 0 = -9*k + 6*k - 4*x + 314. Calculate the remainder when 194 is divided by k.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30068628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(2299) + sqrt(2299)*2 + sqrt(2299) + -4 + (sqrt(2299) + 3 + sqrt(2299)*1 - sqrt(2299)))*-3)**2.\nAnswer: -142560*sqrt(19) + 74488896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y + 4*y, a = 4*y. Suppose a*i = 4*k - 120 + 4, -2*k = 5*i + 110. What is the units digit of (-9)\/3*i\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 71 - 59)*(-3*z**3 + 4*z**3 + z**3).\nAnswer: -246*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 140, -1.1, -0.2, -2.\nAnswer: -5, -2, -1.1, -0.2, 0.3, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Suppose -58 = -4*j + 2*k, 3*j - 3*k + 9 = 5*j. Let m = -11 + j. Determine s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8795.431ml in litres?\nAnswer: 8.795431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 12*f**2 + 20*f + 2. Give z(-8).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468646 is divided by 29286.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4*w + 32, -41*w = 2*k - 43*w - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 3 - k**2 - 16*k - 4. Suppose 12*f = -3*f - 105. Let r be g(f). Calculate the greatest common factor of r and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {a: 3, r: 4, x: 1, w: 1, e: 4, m: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(0 + 4 - 6)*(-2 + 3*l + l + 0*l).\nAnswer: 8*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {y: 2, u: 1, g: 7, d: 10}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j**2 - 19*j + 10. Let k be z(6). Suppose 0 = -k*n + w - 0 + 8, -3*w - 3 = -5*n. Let d(m) = -2*m + 2. What is d(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/7 + 186*n\/7 + 185\/7.\nAnswer: (n + 1)*(n + 185)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**4\/12 + 4*p**2. Let q = 16 + -14. Let r(o) = 2 - q + 0 - 7*o. Calculate g(r(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, -2781, -3 in increasing order.\nAnswer: -2781, -157, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9 - c**2 - 3 + 2*c**2 + 7*c. What is the remainder when 22 is divided by m(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 7) - (-3 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d**3 - 5*d + 5. Let o(u) be the second derivative of 119*u**5\/20 + 7*u**3 - 21*u**2 + 46*u. Determine -5*o(m) - 42*x(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36909071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -85. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40567301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/11)*m)\/m*m*m*m**(2\/5)*m*m*m*m**(5\/6)\/m*m*m**10*m)**(-1\/55) assuming m is positive.\nAnswer: m**(-5717\/18150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:03 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**2 - 2*y**4 + 1 - 8*y**2 + 2*y + 2 - 5 to the form m*y + b*y**4 + j + h*y**2 + v*y**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**3 - 13*m**3 - 9*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01659, 19.1, -5, 5.\nAnswer: -5, -0.01659, 5, 19.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 30*p = 14*p - 63. Let o = 1 + 1. Let b be 4 + -2 + 2*o. Are b and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15249959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469555013 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l - 70. Let q(y) = 46*y**2 - 9*y - 144. Let s(o) = 9*o**2 - 2*o - 29. Let v(g) = -2*q(g) + 11*s(g). Is v(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -73*k**2. Let d(a) = -3*a - 1354. What is d(t(n))?\nAnswer: 219*n**2 - 1354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117)*1 + sqrt(117))\/sqrt(9))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 5*g - 581 = 76*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271512992*a**5 - 2*a**2 - a + 600798 wrt a?\nAnswer: 16290779520*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554.0971 micrometers to centimeters.\nAnswer: 0.05540971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + 0.7. Let z = 9302.80044 + -9301.3. Let k = m - z. What is k rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 * -1575302.\nAnswer: 69313288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -363*p**4 - p**3 + 1825*p**2 + 2542239 wrt p.\nAnswer: -1452*p**3 - 3*p**2 + 3650*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 32*t + 3 - 40*t + 69*t - 4.\nAnswer: -3*t + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 9*v**2 + 2*v**2 + 0*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12413382329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/9)\/(54\/81))\/(-7*7\/(-539)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**5*u*v + 46*b**3*p*u + 7*b*p*u*v - 12*b*u*v wrt b?\nAnswer: -100*b**3*u*v + 276*b*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -61, 4665 in ascending order.\nAnswer: -61, 5, 14, 4665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243.44 + -238.44. What is the closest to 19 in -2, z, -1\/5, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - 5*sqrt(48)\/sqrt(4) - sqrt(120)\/sqrt(90))\/((sqrt(66)*-1)\/sqrt(11)*5).\nAnswer: 13*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225*s - 2*z = -1223*s - 34, -3*z = -6*s + 147 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7790*k + 3262*k + 3625*k = -19340 - 77281 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 5715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -79090 times 0.9\nAnswer: -71181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 806958 + -555958. Round g to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-17 - (11 + -22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -4*x**3\/3 - 2*x**2 + 5*x. Differentiate j(y) with respect to y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8054 (base 10) to base 15.\nAnswer: -25be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 + 135*o. Does 14 divide d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 4 = 34*d. Solve d = -3*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4135 + -2716. List the prime factors of q.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/120 + s**5\/20 - s**3\/6 + s**2. Let u be (-1)\/(9\/(-6))*-3. Let w(y) = -y + 1. Let z be w(u). Calculate x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/15, 1, 1.18 in decreasing order.\nAnswer: 1.18, 1, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50908 = 1246*n - 89*n for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 465 + 46905850.8\nAnswer: 46906315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, r: 1, v: 3, p: 4}. Give prob of sequence ddp.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 63*v + 4094, -3*c - c = -2*c + 383*v - 382*v + 67 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/5319 and 25\/49.\nAnswer: 260631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/60)*x**36*(x*x\/((x\/x**2*x)\/x)*x)**(4\/9))**(-18\/11) assuming x is positive.\nAnswer: x**(-6803\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000829248 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 4:00 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 174297 less than or equal to 174342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 7*q**2 - 8*q - 62. Let o be g(-5). Solve 5*f - o = -3*s, 5*f - 3*f - 14 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212211122 - 22?\nAnswer: 212211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205*q = 1146*q - 1478 - 1000 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 4*x - x + (-x + x - 2*x)*(31 + 20 - 3) + 2*x - x + x + (4*x - 3*x - 3*x)*(2 - 6 + 2).\nAnswer: -87*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -3*y**3\/2 - 5*y**2\/2 - 2*y. Let t(k) = 7*k + 150. Let j be t(-22). What is the remainder when q(j) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2\/11 (c) 0.2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371876 is divided by 498.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-364)\/(-154))\/13 + 4\/(-22). Let r(c) = 4*c + 50. Let h be r(v). Calculate the greatest common factor of 60 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 6*z - 94. Let l = z - -55. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -0*t + 176. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:34 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 2.1, 1\/3, -0.2, 4, 1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = m. Let i(o) = -o**3 + 4*o - 3. Let h be i(m). Calculate the greatest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 15*s - 47 + 2357*s**2 + 15*s + 6.\nAnswer: 2357*s**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -1, 3 in descending order.\nAnswer: 10, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 22 - 7. Let o = h + 5. Solve -3*j - 12 = j, 4*q - 3*j - 21 = o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135346, 133078, 130810, 128542, 126274, 124006?\nAnswer: 121738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpvlvvhfppmhlvvlvmp. What is prob of picking 1 m and 1 p?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let b(n) = -23*n**2 + 10*n + 3. Let g(s) = b(s) + 6*f(s). Let x be g(3). Calculate the remainder when ((-4)\/12)\/(3\/x) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -79\/3399197?\nAnswer: -79\/3399197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 + 12 = 4*f, 13 = 2*q + 5*f. Sort -1, q, 1.\nAnswer: -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h - 16. Let t be z(-3). Suppose -9*s + t = -5*s. Suppose -s*p + 4 + 16 = 0. Sort 5, p, 0, 2 in descending order.\nAnswer: 5, p, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**5 - 8\/5*s**2 + 0*s + 11\/5*s**4 + 0 - 2\/5*s**3 = 0.\nAnswer: -2, -1, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -0*w. Let a(u) = 0*u + 0*u + 1 - u. List the prime factors of a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485123231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*i + 353*i - 2*i**2 + 2*i**2 - 1370*i**3.\nAnswer: -1370*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i*j**3*t**3 + 4*i*j**3*t**2 - 9*i*j**3 + 14*i*j*t**3 + 31873*i*t**3 + 1377*j**2*t**2 wrt t?\nAnswer: 30*i*j**3 + 84*i*j + 191238*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 11 (b) -3 (c) 2\/5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyygkgkgggyyggttygk. Give prob of picking 2 y, 1 t, and 1 g.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 7*d**2 + 8*d - 4. Let w be y(6). Suppose 3*t + w + 4 = 0. Let n = -5 + 10. Sort 1, t, n.\nAnswer: t, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47725?\nAnswer: 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11711, -11705, -11695, -11681, -11663, -11641, -11615?\nAnswer: -11585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2726, -2718, -2710, -2702, -2694, -2686?\n\"Answer: 8*t - 2734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8356 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + m. Let x(h) = -3*h + 16. Let v be x(7). Let f be i(v). Suppose 4*u - 53 = -j, -129 - f = -3*j - 4*u. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 2*q**3 - 6*q**3)*(-7 + 7 + 4*q) + 5*q**4 - 3*q**4 + 0*q**4.\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7170115 to the power of 1\/2, to the nearest integer?\nAnswer: 2678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*(-2)\/(-6)*-35. Let f be 2\/(-3)*(-56)\/j. Suppose 0 = -2*l + 18 - 18. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -3.1. Which is the closest to -2\/3? (a) w (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 12*f**2 + 69*f + 80.\nAnswer: -(f - 5)*(f + 1)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 71 = 5*p. Let t be 2 - 3\/p*0. Find q such that 2\/5*q**t + 0 + 0*q - 2\/5*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 3:43 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438006 divided by -858?\nAnswer: -4007","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*1 - sqrt(125))**2*4 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -247 at most -7933\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*(sqrt(152) + -1*sqrt(152)))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -2\/457, 2\/3, 50?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 39, 56, 73?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d + 5. Let j be s(0). Suppose -5*w + o = -789, -o = 2*w - 0*o - 310. Suppose u + 3*u - n = 122, n = -j*u + w. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 27*a - 24. Let h = 115 + -105. Let m be t(h). Solve -8*c + 2*c - m = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 65010?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1547490, 3094974, 4642458, 6189942, 7737426?\nAnswer: 9284910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.199943 - -21.2. Round i to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 51 = -3*j - 0*j, 4*z - 840 = 2*j - 874 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299 + 319. Solve -17*t - 12 = -w*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 divided by 43?\nAnswer: -754\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2615*t**6 + 3*t**2 + 179*t?\nAnswer: 313800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 680149.7 nanograms?\nAnswer: 0.0000006801497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163.5 + 164.1128. What is r rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -0*s. Suppose 6*f - s*f - 8 = 0. Let x = f + 2. Solve -2*t + 4*c + x = 7*c, -3*t = -5*c - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/4032 and 83\/160020.\nAnswer: 2560320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17781157 to the power of 1\/2, to the nearest integer?\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322\/5 - 64. Which is the third smallest value? (a) 0.1 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234 is divided by 187.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 6*u + 22. Let t(m) = m**4 - 3*m**3 + 5*m + 21. Let s(o) = 3*c(o) - 2*t(o). Differentiate s(q) wrt q.\nAnswer: -8*q**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 15*i**2 + 16*i + 12. Let p be 3\/(-2) + (-62)\/(-4). Let l be m(p). Suppose 0 = -3*q + q + l. Is 20 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -5, 2, -0.2.\nAnswer: -43, -5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 413189209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-5) + (-24)\/40. Suppose -8*t = -a*t - 10. Suppose 0*v = -3*v - 2*r + 46, 0 = 5*v - 3*r - 64. What is the smallest common multiple of v and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-4) - (-61)\/3*(-84)\/(-420).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 76 = 2*f - 91, 0 = -2*f - 5*m + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00613257 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 12879 and 180311\/14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -3\/2 (c) 56 (d) 0.03 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1012.1 + 1015.1. Which is the nearest to 1? (a) 1 (b) -2\/7 (c) 97 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -26430233.\nAnswer: -4\/26430233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3 + 2)\/5)\/((-2)\/(-10702)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3656363*c**4 - 10659186 wrt c.\nAnswer: 14625452*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 12*t + 7. Let n(p) = 2*p**2 - 23*p + 13. Let u(x) = -7*l(x) + 4*n(x). Let v be u(-6). Suppose 2*q = 3*q - v. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*j + 1 = -33, -3*j = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j**2 + 5*j - 2. Let x be d(3). Let c(i) = i**2 + 6*i + 12. Let n be c(x). Let y(g) = -2 - 5 - 4*g**2 + n. Let v(t) = -t. Calculate y(v(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 8178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.48, -2, -24.8 in increasing order.\nAnswer: -24.8, -2, -0.48, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from ycvoyo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 8:43 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14474*w - 14346*w = 4352 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 56*h. Suppose 84 = u - 3*d, 4*u + 7*d - 392 = 5*d. Let f(q) = -52*q - 42*q + u*q. Determine f(t(b)).\nAnswer: 112*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6948, -13150, -17874, -20382, -19936?\nAnswer: -15798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 183420 (base 15) to base 9\nAnswer: 2181343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -7266*r + 7263*r - 20, -4*g + 16 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-18) - (-8)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18285 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 323808*t - 323818*t + 14, 0 = -3*t + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 1.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - w + 74 = 0, 2*w + 96 = 5*d - 80. Let f = -15 + d. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83 (base 10) to base 13.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 10*x**2 + 17*x + 11. Let a be i(-8). What is the tens digit of (1661\/33)\/(1\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 8*p**2 + 2*p + 11. Let h be o(-8). Let g be ((-6)\/h)\/((-42)\/(-140)). Factor 2\/7*v**2 + 2\/7*v**g + 0 + 0*v - 4\/7*v**3.\nAnswer: 2*v**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45184023389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8448, -8147, -7834, -7503, -7148, -6763, -6342?\n\"Answer: r**3 + 294*r - 8743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/271, -0.01, 0.3, -1, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.85 + 4.15. Which is the biggest value? (a) 1\/10 (b) s (c) -15 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/3, -6, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 4*b**2 + 4*b - 2. Let d be v(-5). Suppose 2*p = d*p - 3. What is the first derivative of 2 - p*n**2 + 5 - 2 - 2 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77678 is divided by 77667?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -9a?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/22 + 1102*o**3\/33 - 1106*o**2\/11 - 7337. Solve b(x) = 0 for x.\nAnswer: -553, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.3. Let s = 933 - 943. What is the third smallest value in -5, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 14*v + 35. Let p(y) = -2*y - 14. Let f be p(-15). Let g be d(f). Suppose -9 = -g*z, 4*h - z - 223 = 3*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24317 + 6390 = -2324*o - 6477 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384700 - 74*h**2 + 5*h - 3*h**2 - 384700 - 5*h.\nAnswer: -77*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:14 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -650298*f + 1503. Let w(b) = 6503*b - 15. Give 5*q(r) + 501*w(r).\nAnswer: 6513*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*(1*sqrt(114) + sqrt(114)) + sqrt(114))\/sqrt(6) + 0).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28 - -30)\/(-1*2\/(-5549)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 - 739 + 2*x**3 + 36.\nAnswer: 2*x**3 - 841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209*f**3 + 46*f**2 + 16*f**2 + 24*f**2 - 23*f**2 wrt f.\nAnswer: -1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-35))**(1\/76)*(a*a\/((a*a*a**(-11\/7)\/a)\/a*a))\/((a**8\/a)\/a) assuming a is positive.\nAnswer: a**(-2069\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -256*s + 182 with respect to s.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119499221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 412210 to the power of 1\/2, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 8:01 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(4 - (4 + -3)). Let n(m) = -m**3 - 5*m**2 + 3*m + 1. Let z(t) = -t**2 + t + 1. What is a*z(u) - n(u)?\nAnswer: u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5733 and 1002466647.\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1745b + 2?\nAnswer: -17459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (91*p - 109 + 109)*(0 + 3 - 6)*(2*p - 4*p + 5*p) to the form y*p**2 + d*p + r and give y.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 155.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 8*h - 8431 + h**2 + 8432 in the form p*h**2 + g + v*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -49 (c) 2411 (d) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 967948630 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 8) in base 3?\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/5481 and -121\/1973160.\nAnswer: 1973160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005719 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (3\/(-36)*-2 - 3\/(-18)). Sort -3\/2, 0.3, u, 6.1 in ascending order.\nAnswer: -3\/2, 0.3, u, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:53 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2730 and 1080.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -4, -61 in descending order.\nAnswer: 9, 3, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149.27 + 157.27. Is r > 0.036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {e: 5, a: 3, y: 1, s: 4, q: 1, b: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*s + 362*s - 20 = 0. Let q(y) = -y**3 + 3*y + 1. Give q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/252 - 4\/70)\/((-5)\/(-75)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 86*y**2 + 338*y + 51. Give n(90).\nAnswer: -1929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 9:00 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -34*o**3 - 8*o**2 + 36*o - 8. Let x(m) = 23*m**3 + 5*m**2 - 24*m + 5. Let n(p) = -5*v(p) - 8*x(p). What is the second derivative of n(j) wrt j?\nAnswer: -84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 422 - 408. What is the remainder when 236 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/12 - j**3\/2 - 31*j**2. What is q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 439 - 2*y**3 - 862 + 432 + 2*y to the form x*y**3 + i*y + r + o*y**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122920537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, -49, -3 in descending order.\nAnswer: 119, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, q: 2, o: 1, m: 1, x: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y - 5\/3*y**3 + 73 - 5\/2*y**2. Let k(i) = i**2 + i. Calculate 2*f(u) + 9*k(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -7. Let p = -3 + q. Let n = -313 + 369. Calculate the highest common divisor of p and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 - -1 - -2 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 2*i**2 + 3*i**2 + (-3*i + 3*i - 2*i)*(0*i + 2*i + 1 - 2) + 3*i**2 + i**2 - 7*i**2.\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2303288.\nAnswer: 1\/2303288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = 0. Let w(x) = -x**2 - x + 16. Let o be w(g). Solve o = -n - 3*n, -3*c - 17 = 5*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/220 and -149\/1260?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 10*p**2 + p - 8. Let v be 25\/5*(-2)\/(-1). Let r be m(v). Sort 4, -2, r in decreasing order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1440376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/8*67\/((-50652)\/(-56)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23368223?\nAnswer: 23368223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.1.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssii. Give prob of picking 1 i and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1, -344.3, 0.4, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 4:56 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*o - 14. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.9 - -6.9. Let v be (-2)\/(-10) - 2\/110. What is the closest to z in -1\/4, v, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 1\/((-1)\/6). Suppose -5*c - d + 0 = 0. Let p = c + 17. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/5576 and 133\/738.\nAnswer: 50184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 + -1)\/(-2))\/(-24 + 21). Solve -5*g + 3*a + s*a = 32, 4*g + 5*a = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -396\/13, 1, 2, 3 in descending order.\nAnswer: 3, 2, 1, -0.5, -396\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 4*t + t - 70 = 4*l. Solve s = 2*d - 11, -d + t = 2*d + s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibb when three letters picked without replacement from ajbiaejbbseaibs?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -4*p. Let m be (-21)\/(-14) + 6\/p. Suppose 3*l + q - m - 100 = 0, -3*q + 105 = 3*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1282552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9078399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 28*s**2 - 24*s + 89. Let x be d(-27). Solve x*j + 2 = -6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 4. Suppose 4*r - 5*v - 5 = -20, -9 = -4*r - 3*v. Let a be o(r). Suppose 235 = a*u + 75. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192341 + -0.4019\nAnswer: -192341.4019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let r(m) = 4*m - 6. Let t(q) = -2*r(q) - 6*u(q). Let l(w) = 5*w - 17. Suppose 2*s + 16 = 6*s. Give s*l(z) + 11*t(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/13 - 6*k**3\/13 + 6*k**2\/13 + 22*k\/13 + 12\/13 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, g: 1, z: 2, w: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggnognnnognggongng. Give prob of picking 2 o.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285240963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 23*t**2 + 108*t - 7. Calculate v(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 747?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746356.\nAnswer: 2, 13, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*w + 3*o - 5*o, -3*w - 5*o + 20 = 0. Suppose -3*f + 26 = -10. Suppose 5*j = w, -3*j + f = 3*b + j. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 z when four letters picked without replacement from szssszz.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 270467609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/5 - 28*p\/5 - 48\/5 = 0. What is p?\nAnswer: -4, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.3 (c) -214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 399*u**3 + 72*u**2 + 3?\nAnswer: 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 - 3*c**2 - 2*c**2 + (1 - 2 + 0)*(19*c**2 - 8*c**2 - 10*c**2) to the form m + w*c + y*c**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -2*y**7\/105 - 19*y**6\/120 - 9*y**5\/20 - y**4\/3 + 2*y**3\/3 - 18*y**2. Factor w(p).\nAnswer: -(p + 1)*(p + 2)**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-15 + 16) - -8) + (-20 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 4*p**2 + 3*p - 8. Let k = -13 - -17. Let j be b(k). Suppose -2 = -w + j. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n = -26*n. Suppose n = 3*h - 15, 14 = o - 5*h. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:57 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 16*i**2 - 18*i - 15. Let u be h(-17). What is the units digit of 34 + 0 + u + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ammn when four letters picked without replacement from {k: 2, m: 3, a: 1, n: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136319501*j**3 + 178530744*j.\nAnswer: 817917006*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 63 - 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in -0.5, 6, -0.05, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**2 - 2*x - 7. Let r(p) = 6*p**2 - 2*p - 6. What is -5*a(g) + 6*r(g)?\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -280 - -11660?\nAnswer: 113a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 12417381 + 450*w - 5*w**3 + 5*w**2 - 12417381 = 0. What is w?\nAnswer: -9, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -14680 (c) 4 (d) 0.1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4485? (a) -1 (b) 1 (c) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12847 + -12855.067. Let m = -0.067 - s. Put -2\/7, 0.3, m in descending order.\nAnswer: m, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 15 - 1\/10*o**2 - 73\/10*o = 0.\nAnswer: -75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 + 5*h**2 - 3*h - 1. Let p(v) = -18*v - 12 + 16*v + 11*v - 30. Let f be p(5). What are the prime factors of s(f)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = d. Suppose 16 + 0 = 4*q. Let v be (-3)\/q*(-3)\/9. Which is the closest to v? (a) 1\/2 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729379625?\nAnswer: 5, 13, 31, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*o - 1 + 162*o - 84*o in the form q + h*o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + -59 + 97 + (-1 + 2 - -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 249089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 21*v - 12. Let m be f(22). Let d = 30 - 27. Suppose -z = -d*z + 4. Solve -z*x + 4*x = -m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 3. Let x(n) = n. Let r(d) = g(d) + 3*x(d). Let y be r(3). Let a = y + -4. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-9\/2)*u**(-14\/11))\/(u**38\/(u*(u**(8\/11)*u)\/u)) assuming u is positive.\nAnswer: u**(-903\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from aaaxxxa.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486783 is divided by 495589?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, f: 1, n: 1, x: 4, s: 2}. Give prob of sequence nxhs.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 448120, 896642, 1345164?\n\"Answer: 448522*z - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -20. Suppose r - 10 = c, h = r + c - 5*c - 4. Suppose -4*p + 0*p + 12 = 0. Calculate the smallest common multiple of r and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3162 - -4644. Suppose 4*p + a - 2808 = 0, 2*p + 4*a = -64 + l. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 3324*b**3 + 1377696*b**2 - 2928640*b - 66453504.\nAnswer: 2*(b - 8)*(b + 6)*(b + 832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*i - 196 = -165*i. Solve i*p + 17 = 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d = -52. Find the second derivative of -11*x + 6*x**2 - 3*x**2 + d*x wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 24 = 0. Suppose 3*m = 0, 0*w - 16 = -4*w + m. Suppose w*g + 30 = 7*g. Calculate the smallest common multiple of g and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + 0 + (sqrt(51)\/(sqrt(3)*-2) - sqrt(17)).\nAnswer: 19*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55275 is divided by 106?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 940 divide 943760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2)\/sqrt(9) + -4 - (-5 + -3*sqrt(11) + -2).\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39123796 divided by 9780949?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -246, -464, -648, -792, -890?\n\"Answer: d**3 + 11*d**2 - 258*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251426.\nAnswer: 2, 1125713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347 + 933*o**3 - 347 - 935*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4984728523 to the power of 1\/3, to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -239 - -409. Round d to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -45. What is the remainder when 93 is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176741311 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129117 + 70325 = -1502*q + 73384 for q.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.905 times -0.2?\nAnswer: -0.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 623 and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/10879 + -522430\/1294601. Let m = -2\/17 - f. Let r be 2\/(-3)*(-6)\/22. What is the nearest to 0.1 in m, -2\/23, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 32*o**2 - 28*o**2 + 18*o**4 + 49*o**2 + 57*o**2 + 30 - 38*o**3 - 106*o - 14*o**4 = 0.\nAnswer: 1\/2, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 1. Let w be d(-1). Let l be 31 + (3 - (4 - w)). Suppose -k = 2*k - l. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -16444 divided by 3.\nAnswer: -16444\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/12 + 6*q**2. Let d(n) = 11*n. Calculate b(d(c)).\nAnswer: -605*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 2*n**4 + 0*n**4 + 2*n**3 + 6*n - n**4 as x*n**3 + w*n + s*n**2 + v*n**4 + i and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29126*x + 32228*x - 5 + 5)*(2 - 2 + 3).\nAnswer: 9306*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from {k: 1, w: 4, i: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -6.3 (c) -2328 (d) -2 (e) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + 5) - ((-16 - 1) + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1652.7 - -1652.35. What is the closest to 1 in 2.3, -0.2, m, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-4) - (-13)\/(-13)) + 7 + -13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -8.5. What is the closest to 2\/5 in -6, i, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*m + 32 - 10, -4*y + 5*m + 66 = 0. What is the remainder when 68 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 103*c**2 - 95*c - 2284. Give s(-51).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 + 4*c - 2. Give l(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5635000 to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18404, 36828, 55270, 73730, 92208, 110704, 129218?\nAnswer: 147750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/109, 0.5, -1423?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 + 3*t + 1. Let y be l(3). Let o be (y - 10)*2\/3. Let s be (-11)\/66 + (-25)\/o. What is the nearest to s in 4, -3\/2, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*z + 3*z, -c = 3*z - 63882. List the prime factors of (-14)\/(-91) - 7\/((-273)\/c).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snns when four letters picked without replacement from {a: 1, s: 2, n: 2, x: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2*1\/10). Suppose 4*t + 3*g - 14 = -t, 0 = -b*g - 10. List the prime factors of (-1)\/t + (-366)\/(-24).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 - 220246?\nAnswer: -220326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -59467 and 0.0711.\nAnswer: -59466.9289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((385\/42)\/11)\/(1\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 14*c - 132 + 524 - 127 - 124 - 7.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c = 37 - 1457 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3797? (a) -4 (b) -0.5 (c) 0.1 (d) 388 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*g + 3*q, 4*q = 18*g - 14*g - 84. Solve 0 = -g*z - 27 - 57 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170 + 343. Let r = 230 - k. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0033 and 354?\nAnswer: -1.1682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -112 + 0*k + 113 + 4*k as d + n*k and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131983 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 - 7*u + 35. Let m(n) = n**2 + 2*n. Calculate -6*m(g) - r(g).\nAnswer: -g**2 - 5*g - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 - 6534*c**3 - 1915743*c**2 - 150765516*c + 152687796 = 0 for c.\nAnswer: -1847, -166, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 7726 in descending order.\nAnswer: 7726, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*v**2 - 10*v + 0 + 1.\nAnswer: -3*v**2 - 10*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 5 (c) 0.5 (d) 9 (e) -2 (f) 33.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 1\/2 (c) -27\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 616876\/7 bigger than 88125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -56, -42, 0, 39 in ascending order.\nAnswer: -56, -42, 0, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -69*z + 32*z + 37*z - 3*z**2. Let t(o) be the second derivative of 17\/6*o**3 + 0*o**2 + 0 + o. Calculate t(p(y)).\nAnswer: -51*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 3 (c) 20\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a = 63*a - 45. Solve -2*c - a*s - 15 = 0, 0 = -c - 3*c + 4*s + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 + -254. Let x(z) = -2*z**2 + 12*z + 14. Let o be x(k). What is the third biggest value in 2, o, 1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:06 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 433, 429, 423, 415, 405?\n\"Answer: -u**2 - u + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2032 by 4.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - 2 - (6 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {b: 1, s: 6, j: 3, o: 7, u: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17860607.1 + -17860605.09000186. Let c = n + -2.01. Round c to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:38 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*g - 19. Let n(y) = y**2 - 8. Let l(r) = -2. Let q be (-3)\/(2\/(-4) - 1). Let m(d) = g*l(d) + q*n(d). What is the first derivative of m(i) wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 791000734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 37*t - 43*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(1152\/36)*((-2)\/3)\/((-18)\/(-27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + -3 - (-11 - (-13 + -26) - 33).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7095 and 8989860.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*i - 2*v - 7, 5*i - 4*v - 5 = 0. Let h = -40 + 35. Let b = 5.4 + h. What is the second smallest value in i, -4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 4:22 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 7:43 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*d - 45, -3*d + 0 - 5 = -a. Let i(t) = t**2 - 3*t - 11. What is the tens digit of i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than or equal to 1679\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 + -119. Find the first derivative of 49 - h*p - p + 25*p + 13*p wrt p.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 9*o - 27 + 13*o - 4*o**2 - 4*o.\nAnswer: -3*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Suppose -c*v - 58 = 258. Which is smaller: v or -157?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -467267128539 - -467267129073.999999691. Let h = x - 535. What is h rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w - 7*q = -67*w + 4*q - 9*q + 6, w + q = -9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 4*t - 2 + t. Let f be x(-1). What are the prime factors of -2 + 15\/f*-36?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-2\/5)))\/(((f*f**(2\/5))\/f)\/f))\/(f**(1\/7)*f**2))\/(f**3*f\/(f*f**(-5)))**(-42) assuming f is positive.\nAnswer: f**(2344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 - 6 = 0. Suppose -4*w = -z*d - 2, w - 2*w + 23 = 4*d. Let m(b) = -4*b + 3. Calculate m(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-6)\/6)\/((-15)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 186 = 146. Let p(o) = -o**2 + 3. Let x be p(0). Let f = -4 - -10. Solve g*q + 3*s + 13 = -f, x*q = -3*s - 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 + -132. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.136 * 3434828\nAnswer: -467136.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 21332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czctctzztcc. Give prob of sequence cztc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32588248 is divided by 3361.\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 566 = -2*v - 2*r, 5*v + r - 1573 = 0. Let i = v - 56. Calculate the highest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2949.\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t + 34*t + 17*t - 5 + 5*t.\nAnswer: 77*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 599.0101 tonnes?\nAnswer: 599010100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*o + 214*o + 198*o - 667*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7866 + -7866. Solve h = -5*d + 4*o - 16, 3*o = -2*d + 6*o - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5760 and 22752.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 4*k**6 - 258*k**5\/5 + 951*k**4\/4 - 458*k**3 + 336*k**2 - 96*k + 301. Find z such that f(z) = 0.\nAnswer: 1\/4, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 12032?\nAnswer: -11233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7177 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -70. Suppose b = 170*n - 166*n. Solve -2 = -n*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0 + 10. What is the third derivative of -34*k**2 + 2 + 691*k**5 - y - 710*k**5 wrt k?\nAnswer: -1140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1454, -1508, -1574, -1658, -1766, -1904, -2078?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2604 - 1457 = 13*b - 3650. Calculate the remainder when b is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 107*o**2 + 316*o + 10683. Give v(-109).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 + 13 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(3*i - 4*i - 9*i) + 6 - 6 - 16*i.\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/4922088 and -29\/171416.\nAnswer: 34454616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011111101111011 + -100110110?\nAnswer: -1000100000010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2) + -10 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -16, -20, -24?\n\"Answer: -4*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.6 + -29. Let s = -1.6 + o. Which is the smallest value? (a) 0.2 (b) s (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26194816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by 39.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 203?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2 + 9. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a - 14*a**3 - 27*a - 20*a.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6455564 divided by 4898\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = 4*d. Let o be (4 + -3)*2\/d*2. Solve -b = -o + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1346, 245, 3, 1, 51 in descending order.\nAnswer: 1346, 245, 51, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(3 - 5 + 0)*(-370*v + 171 + 749*v - 376*v) to the form x*v + b and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 6, 1, -4, -9, -14?\n\"Answer: -5*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317895 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1 + 3?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let d = 46 + -41. Let h be 9\/((-27)\/6) + d + 1. Put t, 2, 1, h in increasing order.\nAnswer: 1, 2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)*z)**16\/(((z*z*z**(-1)*z)\/z*z*z)\/z*z*z**5))**(-47) assuming z is positive.\nAnswer: z**(-4888\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2. Let r(v) = -6*v**2. Let n be (-8)\/(-168)*7*15. Calculate n*t(m) + 6*r(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, -2, 3, 73, 6 in increasing order.\nAnswer: -5, -2, 0, 2, 3, 6, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-4))\/(5\/(-140)). Suppose c = -2*z, -20 = -2*c + o*c. Let y be (3\/((-6)\/4))\/(-2). Solve -3*f = -z - y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-28)\/20)\/(-7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00164617 to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*z - 801 = -3*z, 4*z = -2*i + 398. Suppose j + 2*j + 35 = -t, -5*t - 2*j = i. Let f = t - -43. Solve -2*s - f = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 826916, 1653830, 2480744, 3307658, 4134572, 4961486?\nAnswer: 5788400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrrsgr. What is prob of picking 2 r, 1 g, and 1 s?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**2 - 15 + 15)*(-6 - 3*p**2 + 6) + 3*p**2 + 3*p**2 - 3*p**2 + 2*p**4.\nAnswer: -25*p**4 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a - 6. Let f = a - -2. Let w be -1 - (-4 - 124\/(-36)). Is w equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 - m - 2. Let s(t) = t**3 + 4*t**2 - 5*t - 5. Let w(j) = 2*g(j) - 2*s(j). Suppose 0 = 5*o + 12 + 13. What is the tens digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 34*y**3 - 4*y**2 + 10*y - 1. Is d(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/55 and -37\/225?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -73*m**2 - 4025*m - 545. What is d(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 10:08 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 123. Suppose -3*x - t = 49. Let u = x - -85. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 118 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 + -214.91. Let y = -0.09 + j. Let z be 2\/(-2) + (-2)\/(-6). Which is the closest to y? (a) z (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2372 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.14 - -0.14. Let d = 965 + -1051.9. Let y = 87 + d. What is the fourth biggest value in v, 5, 4, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 + (0 - (1 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22698319 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/41 (b) 0.1 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11589.5934 minutes?\nAnswer: 1.14976125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f*f)\/(f**(-22)\/f)*f*f*f**(-11)*f*f*f*(f*f**1*f)\/f*f*f assuming f is positive.\nAnswer: f**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32061221 (base 7) to base 8.\nAnswer: -12302025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 610\/25 + (0 - 4\/10). Suppose -4*a = -u + 4*u + 28, -2*a - r = -u. Let t(c) = -c**3 - 10*c**2 - 14*c - 9. Is t(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -14\/9255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 divided by 101?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/(-5) - 289\/(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 11*i**4\/24 + i**3 + 2*i**2 - 2*i. Let n(g) = 32*g + 17. Give 6*n(t) - 17*v(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.49, -3, 2\/13?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1169415401 divided by -167059343.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -74606*q + 663. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120 (base 5) in base 15?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7 - -6) + -1 - -2) + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k**4 - 3*k - k**5 - 3*k**5 - k**5 - 7*k - 35*k**2 - 45*k**3 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**7\/945 - j**6\/135 + 2*j**5\/135 + 2*j**2. Let y(f) = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, d: 7, r: 2}. Give prob of picking 3 i.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (565 - -9495)\/((-2)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + q - 1 - 1, 0 = -q - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)*q)\/q**(-2\/73)*q**(-7\/3)\/(q*q*q\/(q\/(q*q**14*q))) assuming q is positive.\nAnswer: q**(-7294\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*c**4 - 11*c**3 + 14*c**2 + c + 133868?\nAnswer: 2964*c**2 - 66*c + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 + -59. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874032*k = -874250*k + 5668 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 4*p**3 - 9*p**3 + 40*p**2 + 33*p**3 + 8*p**3.\nAnswer: -4*p**2*(p - 10)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from xkvvsrxvsvrm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 875196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v**(-4))**31 assuming v is positive.\nAnswer: v**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -45, 20, 3, 1, 5.\nAnswer: -45, 1, 3, 5, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 501, 639, 777?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 555*f - 549*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4804)\/(-176547)*(-14)\/(-8)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833314600?\nAnswer: 2, 5, 13, 109, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42865836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12497*s*y**3 + 3*s*y**2 + 10*s*y + 23*y**2 - y wrt y?\nAnswer: 74982*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 23334 = y, -5*h = 4*y - 9664 - 29209. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -16, -21, -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o + 14*o - 22*o. Give q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2053?\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 601016.\nAnswer: 5\/601016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -11. What is the third derivative of -23*v**2 + 0*v**6 + r*v**2 + 2*v**6 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 789032560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.63178 years to months.\nAnswer: 127.58136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a*a**(3\/5))**45 assuming a is positive.\nAnswer: a**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -174, 3624 in ascending order.\nAnswer: -174, 1, 3624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4720 - -4717. Which is the biggest value? (a) -2 (b) g (c) 410\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 184963827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.3. Suppose 22*k = -4492 + 4382. Which is the closest to 2? (a) h (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*1*sqrt(1331))**2.\nAnswer: 5327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 3. Let f = 4 + 1. Let t(v) = 9*v + 2. Let d(n) = -8*n - 2. Let m(p) = f*t(p) + 6*d(p). Determine -6*m(b) + 4*x(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (1*(0 - 608))\/((-36)\/2034)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, 4, -1, -5, 764, -3.\nAnswer: -252, -5, -3, -1, 4, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001978048483 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 243637291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(108) - sqrt(108)))**2 + (-1 + sqrt(363))**2*-5.\nAnswer: -1811 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11792.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 3:21 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/((-214)\/54 + 4). Is 12 a factor of (7\/(-3))\/((39\/l)\/13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(9\/27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - z**2 - 219*z - 49. What is l(-10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + u + 30 = 0. Let p be u\/(-4)*(-2)\/(-15). Which is the closest to 0.02? (a) 2 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-18))\/((-300)\/450). Which is the third smallest value? (a) 0.02 (b) 7 (c) l (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/12*(1 - -5). Which is the closest to 1\/3? (a) v (b) -0.24 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 5475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-24) + 28\/(-6). Let b(z) = -24*z + 3. Let c be b(n). What is the highest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2617, -2606, -2595, -2584, -2573?\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/6 - 417733*h\/6 + 208868 = 0.\nAnswer: -417736, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12271*j**2 + 1 - 1 - 12276*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + 54 + -34 - 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -3\/8*p**4 + 17*p**2 + 0*p + 11\/3*p**3 + 1\/60*p**5 + 0. Let l be d(5). Solve 0*t - 8 = -l*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-196.\nAnswer: -5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from vbtbtbbbbtbtvb?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4910378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249225113?\nAnswer: 249225113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-8))\/(5\/(-20)). Let x = 0 + o. Suppose 6*a = 2*a. Sort x, 3, a.\nAnswer: x, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1*-2*1. Put -4, m, 0, -1\/5 in descending order.\nAnswer: m, 0, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 + 15*y - 6. Let c be a(7). Let n(i) be the first derivative of -c + 4*i - 1\/2*i**4 - 5*i**2 + 8\/3*i**3. Let n(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -8. Suppose 0 = 2*u - 817 + 779. Let n = u + k. Calculate the smallest common multiple of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6755*j - 5 - 8310*j - 5442*j.\nAnswer: -20507*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/21 + 4\/21. Let r = 23\/51 + s. Which is the third biggest value? (a) 1\/2 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 3. Let v be x(-3). Suppose -5*s - 3*u = -2495, -2495 = -v*s - 5*s + 4*u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3537*x + 10948 = -3215*x for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmaaaaapippeaeateaia. Give prob of sequence tm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a + 0)*(7 + 10 + 0)*(2359 - 2359 + 142*a).\nAnswer: 2414*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7575, 18544, 36829, 62430, 95347, 135580, 183129?\nAnswer: 237994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*f + 38, f = 2*f + 5*p + 1. Let v = 31 + f. Let z(w) = 22*w**2 - 14*w**2 - v*w**2. Let x(l) = -2*l**2. What is z(x(g))?\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241022152 is divided by 1184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**2*g**3 + 6*f**2*g**2 - 7*f**2 + 5*f*g**3 - 47*f*g + 4*g**3 wrt g.\nAnswer: 114*f**2 + 30*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25780529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 4366*s**3 + 4734829*s**2 - 66930780*s + 235008900.\nAnswer: (s - 7)**2*(s + 2190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/4*20\/(-35). What is the remainder when 8\/h*39\/12 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1213 - 21*i**2 - 1104 + 15*i**2.\nAnswer: -6*i**2 + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 242705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2319*f**2*h**3*j - 3*f**2*h**2*o**3 + f**2*h**2*o**2 - 62*f**2*h*j*o - 3*f*j*o + 10*f*j + 54*h**3*j*o**3 - h**2*j*o**3 wrt h.\nAnswer: 13914*f**2*j + 324*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a**2 - a**3 + 5*a**2)*(-4433 - 3219 - 6141) to u*a**2 + k + d*a + f*a**3 and give f.\nAnswer: 13793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 - (3 + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 2. Let q be (c + -2)\/(6\/8). Suppose 0 = 2*a - q*a. Solve -2*t - 10 + 2 = a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/92088 and 133\/685512.\nAnswer: 876769848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 1 + 26*m**2 + m**3 - 68*m**2 + 0*m + 2*m**4 + m in the form i*m + f*m**4 + h*m**2 + l + n*m**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10*w*w*w\/w**0*w*w*w)\/(w**14\/(w*w**(-4\/7))) assuming w is positive.\nAnswer: w**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 13. Let r = 12.9 - 12. Let k = -1 + r. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -68*z**2 - 1706*z - 8519. Give i(-5).\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9250393 litres in millilitres?\nAnswer: 925.0393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*g + 44 = 0, -7 = -3*s - 0*s + 5*g. Let b(k) = -k**2 + 10*k + 3. Let l be b(s). Solve 3*a + a = -4*f + l, -4*a - 2 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*4)\/(sqrt(12) - (sqrt(1728) + 2*sqrt(1728) - sqrt(1728))).\nAnswer: -4*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 times -1?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 4. Suppose -3*o + z = -0*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (23 + -11) - 10) + 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6)*(-16)\/6. Suppose c = -w*c - 70. Let x = 4 - c. What is the greatest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7688)\/(-155) + 3\/(-5). Solve -n*z = -16*z - 66 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.475 - -0.5. Let q = -0.125 + v. Put -3, 4, q, -0.3 in ascending order.\nAnswer: -3, -0.3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1944\/1215*(-145)\/(-4). Solve -6*l - 23*l = u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 19 = 26*u - 3*x, 0 = u + 4*x - 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-3*-6)**2 - ((sqrt(28) - sqrt(448)) + 0 + sqrt(14)\/sqrt(2)).\nAnswer: 5*sqrt(7) + 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 447239 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 12*g - 27. Let d(l) = g + 2*l + 9 - 10. Let v be d(8). Is 26 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 526.0107 and -78.7?\nAnswer: 604.7107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4942 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*m - 60 = m, -k + 2*m + 15 = 0. Let y = 564 + -549. Calculate the highest common divisor of k and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwwwww. Give prob of sequence wywy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, -5\/6, -7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1699 = 5*y + v - 2497, 3*y = v + 2524. What is the greatest common divisor of 315 and y?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 2*k**3 - 5*k**3)*(1240*k - 2550*k + 2842*k).\nAnswer: -3064*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -73.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*-2*sqrt(170))\/(1*sqrt(250) + sqrt(250)))*-3.\nAnswer: -3*sqrt(17)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 2462*u - 2462*u - 12*u**3. Suppose x + 3*x = 4. What is p(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j + 1. Calculate r(-5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/21)\/((b*b*(b\/b**(-3\/8))\/b)\/b) assuming b is positive.\nAnswer: b**(-263\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 6*q**2 + 3*q - 2. Suppose 0 = b - 2*p + 30, -b - p - 46 = p. Let m = 68 + b. What is the remainder when m is divided by a(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10925022*a**2*k**3 - 957847*a*k**3 - 7*k wrt a.\nAnswer: -21850044*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 892951800 to the nearest one million.\nAnswer: 893000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55857 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {x: 1, f: 3, s: 1, d: 1, i: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.216 - -5.296. Let o = 0.08 - i. What is the nearest to 0.1 in 1\/5, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6262 and 23432.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3 - 5*g**2 + 43. Let o be q(-3). Solve -m - o*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Find the second derivative of -4*v - 8*v**2 + v + 5*v**j wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/30 - 17*y**4\/24 - 5*y**3\/6 - 12*y**2. Let j be v(-8). Solve 0 = 4*a + 3*z - 1, -16 = a + z + j*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 2, n: 10, g: 2, k: 3, h: 1}. What is prob of picking 1 x, 1 k, and 1 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2434 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269*v + 489*v - 407*v - 16060 = -64727 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*w + 6 + 54, 5*w = 5*x + 25. Suppose 4*v = -5*o + 36, 4*o - 3*v = 2*o + 19. Calculate the smallest common multiple of w and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbffbfcxxqcr. What is prob of picking 1 f and 1 c?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let w(a) = a**2 + 3*a - 1. Let i(d) = 2*q(d) - w(d). Let b be i(0). List the prime factors of (b + 2*-23)\/(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 542*a**3 - 2693*a**2 - 4300*a - 2148.\nAnswer: -(a + 1)*(a + 2)**2*(a + 537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 6*p - 235. Calculate the remainder when 309 is divided by p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12714155, -25428351, -38142535, -50856701, -63570843, -76284955?\n\"Answer: u**3 - 12714203*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 102*w + 10702. Calculate z(-105).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*d = d + 25, 5*d = 4*m - 57. Suppose m = 4*y - 28. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 15*q - 4. Let h(b) = -b**2 + 3*b - 1. Suppose 0 = 3*o - 9 + 12. Let t(k) = o*r(k) + 5*h(k). Determine t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -13)\/12*36\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 13*w - 4290 = 0. Suppose 3*t + 3*q = w, -5*t - q + 108 = -627. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/600 and 43\/9?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyykaa. Give prob of sequence yk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -20. Suppose y = 5*c + j, -c + 4*j = -0*j - 18. Let x be 3*7\/14 - (-1)\/c. Solve 0*k - k - x*u + 15 = 0, 2*k = -3*u + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1340258 at least -6701284\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24348591 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -508224 by 11.\nAnswer: -508224\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = 3*z, 2*g - 3*z = 18. Let l = 2\/9 - -4\/63. Factor 0 + 0*v**2 + l*v - 2\/7*v**g.\nAnswer: -2*v*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6114614?\nAnswer: 2, 11, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-1) + (6 - 4). Put u, 45, 5, 4 in increasing order.\nAnswer: u, 4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(0 - 3\/(-3)). Suppose -5*a - 23 = -m - h*a, -3*m - 4*a = 7. Suppose -m*k - 15 = -8*k. What is the least common multiple of k and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581816 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2646 - 5258 - 19*i - 4*i**2 - 39*i**3 + 2614)*(2*i + 2*i - 6*i) in the form k*i**4 + s*i**3 + y + c*i + g*i**2 and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.1194907 rounded to zero dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5559, -5557, -5555, -5553, -5551?\n\"Answer: 2*d - 5561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -236, -352, -468?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 34*y**2 - 256*y + 333. Give q(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (70\/3)\/(1\/3). Suppose -t = 4*v - 14, 5*t - v - 59 - 11 = 0. Calculate the highest common divisor of t and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -32 - 7 + 2 + 61*g. Is x(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*c - y, 4 + 23 = 5*c + 3*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 549 + -42\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13961.6487ns?\nAnswer: 0.00000000016159315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1273, 370804 in descending order.\nAnswer: 370804, 1273, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -70847 and 1501.\nAnswer: -69346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/249 + -326\/747. What is the closest to m in 1, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1132, 2277, 3436, 4615, 5820, 7057, 8332, 9651?\n\"Answer: u**3 + u**2 + 1135*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 81 = 3*d, 3*j - 36 = -2*d - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 11394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*p - 20, -18*a + 16*a = -p + 12. What are the prime factors of (a - 1974\/6)\/(-1)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*q + 23420 = 7249. What is the remainder when 298 is divided by q?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 10*n**2 + 3. Suppose 0 = 6*b - 14*b + 80. Let h be f(b). Let g(l) = l**2 + l + 1. Determine g(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/6*(-11426)\/(-1182)?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {j: 2, t: 1, f: 1, u: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 136*k**2 + 10*k + 2 - 7*k - k**3 as t*k + d*k**3 + v + y*k**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10421\/67884?\nAnswer: -10421\/67884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 7*i**6\/3 + i**4\/4 - 29*i**3 - 51. Find the third derivative of a(h) wrt h.\nAnswer: 840*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 55*p - 21*p - 21*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-58)\/(-5) - 2\/(-5). Suppose -4*k - i = -4*a - 5*k, -4*k = -2*a - 12. Solve -d = -5*h + 26, -3 = 5*d + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)\/j)**(-2\/19)*(j\/(j*j*j**(2\/7)*j))**(-31) assuming j is positive.\nAnswer: j**(9431\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/24)\/(7\/441). Let b be (4\/24)\/((-4)\/(-42)). Determine j so that 0 + t*j**3 + 1\/2*j**4 - 5*j**2 - b*j**5 + j = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 40614 and -15\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68, -89, -108, -125, -140, -153?\n\"Answer: d**2 - 24*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 140032?\nAnswer: -140045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 3. Let h(v) = 3*v - 3. Let p(u) = -u - 13. Let t be p(-9). Let s = 9218 + -9213. Calculate s*a(b) + t*h(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1219.88m?\nAnswer: 1219880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(720) + 1 + 4 - sqrt(720)) + -4 + -1*sqrt(720) + sqrt(720) - ((sqrt(720) - 1*sqrt(720)) + -5 + 3)))**2*1 + -2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f**3 + 2*f**3 - 3*f**3 + (7 - 2*f + 6 - 1)*(-2*f**2 + 3*f**2 - 3*f**2).\nAnswer: f**3 - 24*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 128 + 34 = 0. Let a = -104 - o. Let m = -60 + a. Which is greater: m or -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 12, 13, 14?\n\"Answer: b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.548961ns in hours?\nAnswer: 0.0000000000034858225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77273.74m to micrometers.\nAnswer: 77273740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 45b1a69?\nAnswer: -45b1a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-38) - (-7910)\/665. Solve 16*z - s = 20*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379303, 379349, 379419, 379525, 379679?\nAnswer: 379893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -226*t**4 - 1602*t**2 + 463*t. Differentiate r(n) with respect to n.\nAnswer: -5424*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.2 (b) -67 (c) 2\/7 (d) -263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6167234 + 4.\nAnswer: -6167230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/((q\/(q*(q\/q**(1\/12))\/q))\/q))**(-41) assuming q is positive.\nAnswer: q**(-1435\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h. Let t(k) be the first derivative of -13*k**2 - 29. Calculate y(t(f)).\nAnswer: -78*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -62 + 56 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/40265 (b) 6.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 13*a + 3. Calculate w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -348 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j + 57*j = 156. Let w = j + -30. What is the least common multiple of w and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 8*u**2 + 8*u + 6. Give o(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/180 - z**5\/60 + z**4\/12 - z**3\/6 - 2*z**2. Let a(m) be the first derivative of q(m). What is the units digit of a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*g + 36 = -3*g, -3*y + 36 = 2*g. Let v(q) = q**2 - 6*q + 5. What is the tens digit of v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*k = -4 - 3, 4*z = 2*k - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 1, q: 1, g: 2, o: 2, b: 1}. What is prob of sequence gyo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.58 (b) -2 (c) -4 (d) 1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1, -912, 1\/3 in descending order.\nAnswer: 1\/3, 2\/9, -1, -912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0434891 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000179988 to seven dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w**2 + 110*w - 30. Determine c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170.8 + 167.8. What is the nearest to t in 7, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -648.81 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 28336421*s - 28336421*s + 8*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3 - 7*h**3 + 9 + 9 - 22 with respect to h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30085 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqxzqzqqpqzq. Give prob of picking 1 x, 1 p, and 2 z.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*b**2 + 436*b**2 - 150*b**2 - 137*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8261*n**3 - 1078 + 1078 - 13*n - 8262*n**3.\nAnswer: -n**3 - 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 2*a**2 + 3. Let u(c) = c**3 - c**2 - c - 4. Let z(o) = -3*n(o) - 2*u(o). Determine z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359645?\nAnswer: 3, 5, 7, 23, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by -70?\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -895429753*d**4 - 14930*d**2 - 4*d + 288.\nAnswer: -21490314072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*m**3 + 2*m**4 - 50*m**3 - 4*m**2 + 3*m**2 + 4 to the form i + t*m + s*m**3 + f*m**2 + n*m**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/((-114)\/20 + 6). Suppose -7*j - 2*n = -2*j - 20, 5*n - 5 = -d*j. Solve i - 2*i - j = -4*r, 5*i - 16 = -3*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 26904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.83. Let a = -0.07 - z. Which is smaller: -7 or a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84239 (base 11) in base 14?\nAnswer: -32a2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1295 and 10568495.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11 - 3*u**3 - 3*u + 4*u + 6*u**2 + 4*u**3 + 4*u**2. Let f be l(-10). Solve -c + f = -k - 3, 3*k + 9 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93042 and 5892660.\nAnswer: 17677980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13668.1 - 1.212?\nAnswer: -13669.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 121*g + 760. What is s(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)*u**(2\/5)*(u**(-3)*u)\/(u**2*u))\/(((u\/u**(-1\/3))\/(u*u**(-3)))\/(u**2\/u*u*u**0)) assuming u is positive.\nAnswer: u**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (5*sqrt(136) - sqrt(136))\/sqrt(4))\/sqrt(2).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -38. Calculate the remainder when 26 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.609 - -6.65.\nAnswer: 10.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.991us in seconds?\nAnswer: 0.000057991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttthttttt. Give prob of sequence tt.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.3, -2333?\nAnswer: -2333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/5985*9\/(-12)*6*5\/(-10).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v + 176 = -20*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/2, -1, -0.3, -1614, -0.02, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 7 = -y, 0 = -3*q + 5*y + 53. Let n be (-9)\/6*(-28)\/q. Suppose 6 + 0 = 3*g. Solve 5*t - 2*l = -l - 18, 5*l = n*t - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66071208 by 289786.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 682115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.1, 2, -4\/73.\nAnswer: -17.1, -4\/73, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r**3 + 6*r**3 + 145489 - r**2 - r - 145503 to the form k + p*r**2 + l*r**3 + o*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 3*x**3 + x**2)*(-3 + 1 + 1).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwgqqwqgqwqgq. Give prob of picking 1 w and 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-2 + -1)*704\/(-2112)) + 12*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1342 - 557. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**4*o))**(-12)\/(o**(-7)*o*o**(-7\/6)) assuming o is positive.\nAnswer: o**(331\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 10*w**2 + 0*w**3 - 9 - 2\/15*w**4 - 1\/75*w**5 + 0*w + 1\/300*w**6. Let j(f) be the second derivative of t(f). Factor j(u).\nAnswer: 2*u*(u - 4)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 594*p**2 - 6213*p - 5616.\nAnswer: 3*(p - 208)*(p + 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1\/5 (c) -2 (d) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Let n = 160\/147 + 12\/49. Let s = -1.669 + -0.331. Which is the closest to -2\/9? (a) n (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12092869 and -4\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/10 - 5*r**4\/3 + 5*r**2\/2 - 1104*r. Calculate m(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1048 and -5\/16?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -h - 178. Let a(c) be the first derivative of c**4\/4 - c**2\/2 + 2*c + 26. What is a(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1058, -1117, -1186, -1271, -1378, -1513?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.04 - 1. Let g = t + -0.44. Let s = g + 0.3. Which is the third smallest value? (a) -2 (b) -2\/13 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 11 = c, -4*m + 4*c = -16. Let a be -3 - -5 - (m + 0). Is a greater than -1\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-seven halves of a microsecond?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 63 = 5*g - 2*g, 5*t + 27 = g. Suppose -9*r = -g - 32. What is the greatest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - 6\/(-4). Determine u so that -4*u**2 - 4*u**2 + 2*u**2 + 8*u - 4*u**3 + h*u**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*15\/(-20). Put -1, r, -2\/15 in descending order.\nAnswer: -2\/15, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x - 5. Let m(r) = r - 1. Let n(k) = 2*l(k) - 10*m(k). Let d(w) be the second derivative of 4*w + 0 + 1\/12*w**4 + 0*w**2 + 0*w**3. Give n(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0207 + -262247625?\nAnswer: -262247625.0207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5169, -11731, -18293, -24855, -31417, -37979?\n\"Answer: -6562*a + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -573\/2 + 287. Suppose 5*o - 3*o + 24 = 3*v, 4*o = 5*v - 50. Which is the closest to 0.2? (a) -3 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378*0.02.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {e: 1, c: 2, j: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 - -187.9. Let g = 0.27 - -0.03. Let z = -7 + 5. What is the second biggest value in g, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2 + -1 + 2)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 12 = -4*k, -a + 0*a + 5*k = -15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 28, 3.58?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 707.9757 + 0.0243. Let y = f - 707.99999691. Round y to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*112\/252*18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/88 and 53\/480?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 54.4 times 0.1\nAnswer: 5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4 - 31614*d**3 - 171310*d**2 wrt d?\nAnswer: -24*d - 189684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/(-28))\/((-2)\/7). Factor -f*u - 6 - 11 + 20 + 3*u**2.\nAnswer: 3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/19)\/((-10)\/(-5)). Suppose p = -52*r + 575 + 985. Let j(v) = 2*v**2 - 5*v + 4. What is the remainder when r is divided by j(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 4. Suppose 0*p - 2*d = -p + 2, -5 = 5*d. Let a be k(p). Solve -a*j + 0*j = -y + 16, 6 = -2*j + y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31557 + 78171 + 36006 = -2754*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-3 - (-30)\/12). Suppose -5*c + 3*v = -45 - 36, -3*c + 39 = 3*v. Solve 0*w + 3*w + z - 6 = f, z + c = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 176 = -5*c + 4*c, -164 = -c + x. Suppose -57 = -9*v + c. Is v at most 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**4 - x**3 + 2*x**2 + 4*x + 1. Let f(c) = 7*c**4 - 6*c**3 - 8*c**2 - 1695*c + 6. Let w(a) = f(a) - 6*r(a). Find the second derivative of w(s) wrt s.\nAnswer: 12*s**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1875)\/(-513) - 2 - 2. Let p = -15\/19 - q. Which is the second smallest value? (a) -4 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y*y*y**(-1)*y))*y)**(3\/31)\/(y\/((y**(-2\/3)\/y*y)\/y)*y**(-5)) assuming y is positive.\nAnswer: y**(253\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -132. Calculate the remainder when k is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -4*i**6\/75 + 2*i**5\/25 - i**4\/30 - 15*i. Factor k(f).\nAnswer: -2*f**2*(2*f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -5c16?\nAnswer: 5c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442\/(-728)*7*-4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 31*h**2. Let b(s) = -2*s**2 + 0*s**2 + 109*s - 109*s. Determine r(b(y)).\nAnswer: 124*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o = 71*o - 19. Suppose 32 = o*t - 11*t. Suppose 8*c = 2*w + 7*c - 429, 0 = -t*c + 12. Calculate the greatest common divisor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -19\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 3. Let o(b) = 4*b + 14. Let d(n) = 3*o(n) + 14*r(n). Let x(k) = -6*k**3 + k. Let h be x(-1). Let a(c) = h*c + 5*c - 4*c. What is a(d(u))?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4179912, 16719651, 37619216, 66878607, 104497824, 150476867, 204815736?\n\"Answer: 4179913*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohrhjxxjbhbr. Give prob of sequence xbjb.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from {b: 5, p: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019073978 to 7 decimal places.\nAnswer: 0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - p + p - 3. Let s be q(-8). Suppose s*c - 12 = -0*c - 2*w, -4*c - w + 12 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/(-10))\/(-21))\/(18\/10)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(121))\/(sqrt(88)\/sqrt(2) - sqrt(11)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/48 - -1)\/(60\/24).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.55 and -54240317.\nAnswer: -54240310.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.4, 1\/2, -4\/17, 3, -17 in descending order.\nAnswer: 3, 1\/2, -4\/17, -1\/3, -0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d - 3*d + 2 + 65*d + 112*d + 69*d.\nAnswer: 176*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + f - 25 = 1, -f - 34 = -2*u. Suppose u = 3*y, 40 = 9*s - 6*s + 2*y. Sort s, 0, 5 in decreasing order.\nAnswer: s, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/(-8) - 1\/4. What are the prime factors of 34\/((d + 4)*-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) - (1 + sqrt(19))**2) + sqrt(19) - (-6*sqrt(38)\/sqrt(2))**2.\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2361*p = -6495*p - 330720 for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 29 + d**2 - 66*d + 75*d - 27. Give o(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 744 + -735. What is the biggest value in -4\/5, 1, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11495886 by 3.\nAnswer: -3831962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 2324?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1\/4, -0.4, -674\/23, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4760*z**2 + 4870*z**2 - 9623*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 1. Let v be y(-1). Let i(c) = c**2 + 1 + 5*c + 6*c - v*c. Let g be i(-9). Calculate the greatest common divisor of g and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:16 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 31*t**2 - 35*t - 75. Calculate b(-32).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06406 plus 6.8314?\nAnswer: 6.76734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*c**3 + 72*c**3 - 291*c**3 + 63*c**3 + 68*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 3:41 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from hhhyhqqhyyq.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1710581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 20 = -5*i. Solve 4*t + i*v = -v + 26, -t + 3*v = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/816?\nAnswer: -7\/816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 21 = -3*n. Suppose 0 = 3*r - 5 - 1. Find the second derivative of -69*p + 71*p + p**n - r + 2 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h - 7. Find v such that 0 + v + 1\/2*v**h = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6381 by -9.\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(4*m**5 - m**5 - 2*m**5) + (-2*m**3 - 7*m**3 + 3*m**3)*(4*m**2 - 4*m**2 - 3*m**2) - 2*m**2 + 2*m**5 + 2*m**2.\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544441 and 3543.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -197 + 87.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196099305*o**3 + 93*o**2 + 90*o - 1108?\nAnswer: -1176595830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 79?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:54 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 22730*x**3 - 11349*x**3 - 5*x - 11379*x**3 + x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 c, and 1 p when four letters picked without replacement from ppcrppwrwrppprpcr.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)\/((r*(r*r**(5\/3))\/r)\/r)*(r*r\/((r*r**(2\/23))\/r)*r)\/r*r**(-8))**(-11\/4) assuming r is positive.\nAnswer: r**(8921\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259877, 519747, 779627, 1039523, 1299441?\nAnswer: 1559387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 12.2. Let c = -1.19 - r. What is the smallest value in 1, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8210, -17242, -26380, -35624?\nAnswer: -44974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/7 (c) 24 (d) -2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8.3. Let c = 745 + -348. Suppose -c = -6*a - 403. What is the fourth biggest value in 2\/27, a, 0, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18410*v - 35640 = 19598*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1725 = 3*k - 2*b, 5*k = 5*b + 1616 + 1254. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 5}. What is prob of picking 2 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -20, 0*t - 3*t + 113 = -b. Let w(g) = -g**3 - g**2 - g + 36. Let l be w(0). Suppose -3*p + t = -l. Is p at least 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17008369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 27*w + 107. Let q be u(-4). What is the biggest value in -0.5, q, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/636 and -45\/26288.\nAnswer: 78864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 12. Let a be (0\/2)\/(1\/r). Suppose 0 = -4*i + 16 - a. What is the lowest common multiple of 18 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 7*v**6\/24 + 7*v**4\/6 - 36*v**2 + 1. Find the second derivative of j(x) wrt x.\nAnswer: 210*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f. Let d(m) = -2*m - 7. Let i be d(-5). Let b(n) = i*n + 66 - 66 - n. Calculate u(b(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)\/l)\/(l**(-2)*l)*(l**(-1)*l*l*l)**(2\/11) assuming l is positive.\nAnswer: l**(19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 495375 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, -0.13, -8 in decreasing order.\nAnswer: 3, -0.13, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d**2 - 4*d + 4. What is the remainder when t(5) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -20*m - 34252. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17201310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39533, 78898, 118259, 157616?\n\"Answer: -2*w**2 + 39371*w + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18\/11 (b) -3\/8 (c) 2\/191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 8. Put -1, 1\/6, i in decreasing order.\nAnswer: 1\/6, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*r**3 + 10*r**2 - 8*r**2 - 2 + 10*r + 17*r + 119*r**3 to the form j*r**3 + i*r**2 + d*r + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-30)\/(-28))\/(4\/70) and (-92)\/(-6)*2\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*j + 12, 2*v - 12 = -3*v - 4*j. Let z = 0.0529 + -0.0201. Let c = -1.9672 - z. What is the third biggest value in c, -5\/2, v?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-544)\/(-204)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 232.\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16205\/11 + -1473. Put -3, m, -30 in increasing order.\nAnswer: -30, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -498*t**4 - 2*t**2 - 18*t**3 + 2 - 74*t**3 + 500*t**4 to the form w + g*t**4 + p*t**3 + c*t**2 + o*t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**5 + 468*c**4 + 3269*c**3 - 66*c**2 - 13156*c - 7224 = 0?\nAnswer: -86, -7, -2, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -302*z - z**2 - 4*z**2 + 267*z.\nAnswer: -5*z*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8982 + -8982.16. What is the closest to 1 in -11, -2, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**3 + 12*u**2 - 5*u - 6. Let w(f) = -5*f**3 - 6*f**2 + 3*f + 3. Let c(p) = -4*t(p) - 7*w(p). Let i = 57 - 107. Let l = i + 44. Determine c(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 3.04. Let z = d - 4. Let b = -8752.8 - -8753. What is the smallest value in b, 2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-251*c**2 - 30*c**2 + 109*c**2 - 233*c**2)*(5*c - 4*c + 2*c)*(3*c - c + 0*c) to the form o + n*c**2 + m*c**4 + b*c + p*c**3 and give m.\nAnswer: -2430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, -213, -1058, -2797, -5730, -10157?\nAnswer: -16378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3987*a**2 + 32*a + 35. What are the prime factors of i(-1)?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1085 = 5*h + 8*n, -2*h - 3*n + 432 = 0. Suppose h*j = 221*j - 6098. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 5. Let x be w(-5). Suppose x = -0*u + u - 1. Is 1 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - f**5 - f**5 + (-f**2 + 0*f**2 + 2*f**2)*(-1 + 1 - f)*(3*f - 3*f - 2*f**2)*(10 - 10 + 20).\nAnswer: 41*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 7163 = 19*s - 5*r, 3*r = -s + 3554. List the prime factors of s.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2565083 and -5.\nAnswer: -2565088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s - 592. Find k, given that 17*k**2 - 12*k**5 + 2 - 155*k**4 + 21*k**4 + 54*k**5 + 2*k - 77*k**2 + s*k**3 = 0.\nAnswer: -1\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8*v - 4*v - 4 = 0, v - 6 = -p. Let b(t) = -t**2 + 4*t - 1. Give b(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111131123 (base 4) to base 2.\nAnswer: 110010101011101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + (-61)\/30)\/((-11)\/1837) and 81\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 2*m + 0*m**3 + m - 2*m**3 in the form p*m + b*m**3 + g + a*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -149396 * -158\nAnswer: 23604568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c**5\/9 + 19624*c**4\/9 + 8426*c**3\/3 - 33664*c**2\/9 - 11224*c\/9 = 0. Calculate c.\nAnswer: -2, -2\/7, 0, 1, 1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -510*s + 4613. Calculate v(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*i - 168*i = -315 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/5, -0.2, -1\/4, 1.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = 88. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13864881, 13864876, 13864871, 13864866?\n\"Answer: -5*u + 13864886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11627 (base 8) to base 4\nAnswer: -1032113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 94659?\nAnswer: -94660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (-3 - 2) + (21 - 14) + -12 + 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (225182\/(-102) + 5*-1 + 1)*6. Round m to the nearest 100.\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5346*c**4 - 5356476*c**3 - 349043928*c**2\/11 + 14174928*c\/11 - 143424\/11 = 0?\nAnswer: -996, -6, 2\/99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llclclclcccccllclccl.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.8 (b) -4\/3 (c) 2227 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, 97, 184, 251, 292, 301, 272, 199?\n\"Answer: -b**3 - b**2 + 111*b - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21929075?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 103 = 25*t + 62. What is the closest to 0.2 in 0.2, t, 4, 27.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**3\/3 + j. Let s(o) = -10*o + 2*o + 6*o. Give v(s(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(29 + 31 - 60 + 271*y).\nAnswer: 542*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 - 4. Let y be t(-5). Does y = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*m - 60 = -3*b, 5*b + 4*m = 48. Let g be (2\/(-4))\/((1 - 0)\/b). Let c(a) = 5*a - 5. Let q(s) = -5*s + 6. Give g*c(x) - 5*q(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - -5) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*v + 20 = 0, -m - 2*v = -3*v + 4. Let y(q) = q**3 + 6*q**2 + 6*q + 4. Let n be y(-5). Which is the closest to n? (a) m (b) 0.3 (c) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n**2 - 4*n**2 + 13*n**2. Let z(o) = -o**2 + 9*o - 9*o. What is z(y(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.708316 * -47\nAnswer: -33.290852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -983 + 977. Let i(w) = -4*w**2 - 9*w + 2. Let t(o) = 9*o**2 + 19*o - 5. Let q be (-62)\/(-8) + (-9)\/12. Let c(x) = q*i(x) + 3*t(x). Calculate c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 2*x - 5*k, 2*x - k + 54 = -0*x. Let d = x + 27. Solve f - 5*f + 16 = d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times 422369?\nAnswer: 1942897.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i**5 + 45*i**2 + 0*i**4 + 0*i + 0 + 1\/90*i**6 + 1\/630*i**7 + 0*i**3. Let z(d) = 0. Calculate d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 + 25 = 0. Let h = -41 + n. Let l(j) = j**2 + j - 23. Is l(h) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*z = -25*z - 74 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -167 (b) -11\/556 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116.6 - 127. Let v = 10.984 + z. Round v to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 29*w - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/55888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 3*s**3.\nAnswer: -3*s**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1356 and -29\/951912.\nAnswer: 951912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59165, 236671, 532521, 946715?\n\"Answer: 59172*j**2 - 10*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 67*g + 35. What is the hundreds digit of s(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 339, 493, 643?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3930 in -1\/3, 1, 1\/7, -2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnbnnnbnfbnbnnfnnc. Give prob of sequence bf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(700) + -3 + (sqrt(700) + 0)**2 - (sqrt(700) + (sqrt(700) + -1 - sqrt(700))*-3) - (2*sqrt(700)*-1 - sqrt(700))*4).\nAnswer: 120*sqrt(7) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 7*j**2 + j + 2*j - j.\nAnswer: -7*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 36 = 5*r - 27, 5*r + 2*k = 81. Let t(f) = f**2 - f - 1. Let g be t(-1). Let p be (g - 3)*(-15)\/2. Calculate the highest common factor of r and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3.5?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/8)\/((h**5*h)\/h*h)*((h*h\/(h*(h*h*h*h**(-1)*h*h*h*h)\/h*h))\/h)\/h**(-2\/17)*(h**(1\/6)*h\/(h*h\/(h**(-2\/19)*h*h*h)))**(-47) assuming h is positive.\nAnswer: h**(-842203\/7752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 2*g**2 + 26*g - 25. What is d(8)?\nAnswer: 1079","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 8*l**2 + 8*l + 7. Suppose -2 = -0*s - s. Suppose 0 = s*w + w - 21. What is the tens digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38577905.2362 and -3?\nAnswer: 38577902.2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**3*v**2 + 5*l**3*v + 56*l**3 - 21*l**2*v + 8*l**2 - 4*l*v**2 wrt l?\nAnswer: 90*v**2 + 30*v + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 23. Let w be b(7). Let c(a) = -6 + a - a**3 - 7*a + a - 6*a**2. What is c(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 12*m**2 - 44*m + 768. Calculate r(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 64. Let l(u) be the first derivative of u**2 + u - 53. Let v(a) = g(a) + 2*l(a). What is the derivative of v(j) wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-12)\/(-1))*790\/316.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -3\/7 (c) -1\/26 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 87*n**2 + n - 2. Let g be y(1). Suppose -g - 14 = -5*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38733 - 38728. Let s(n) be the first derivative of 0*n**2 + 5*n**4 - n**w - 51 + 0*n - 20\/3*n**3. Factor s(c).\nAnswer: -5*c**2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**3 + y - 6. Let x be b(-1). Factor 0*k**3 - 4*k + x*k - 3*k**3 + 3*k**2 - 3.\nAnswer: -3*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8373*h - 4974*h - 2307*h - 372*h.\nAnswer: -16026*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -4065.\nAnswer: 76\/4065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*h - 0*h - 18, 3*h = 3*g + 3. Let o(b) = -188*b**2 + 380*b**g - 193*b**2. Let r(d) = -5*d + 0*d - 10*d. Determine o(r(w)).\nAnswer: -225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let d(z) = -4*z + 4*z - 2*z. Calculate d(x(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 110 = -21*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 23. Calculate d(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*n + 43 = -300*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 19*a**4\/24 - a**3 - 9*a**2 - 9. Let o(x) be the second derivative of h(x). Find the first derivative of o(s) wrt s.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 54.6. Is j >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90024468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 9, j: 1, c: 2, s: 3, a: 2}. Give prob of sequence cr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12*1908\/(-1749)*-2)\/((-126)\/33)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1587 + 132*v**2 - 227*v + 1869 + 560 + 80 - 2*v**3 - 2077*v = 0. What is v?\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/15 + (-34)\/(-3). Let s(w) = w**2 + w + 4. Let a be s(0). Suppose 24 - 4 = a*b. Solve -14 = -b*v + 2*g - 4*g, v = -4*g + n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*160\/(-90)*(-93)\/17608?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12118522.7 - -0.0914\nAnswer: -12118522.6086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135858098 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**27*(m*(m**1\/m)\/m)**(7\/5)*((m\/m**(1\/3))**25)**(-2\/35) assuming m is positive.\nAnswer: m**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 236 + -92 + -106 + 14\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 4*o - 4\/3*o**2 + 1\/12*o**4 + 37 - 1\/9*o**3. Find a, given that r(a) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 3\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 821666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {u: 3, v: 1, e: 3, a: 2, z: 1, w: 5}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -236*u**3 - 2*u**2 + 3*u + 4. Let a be v(-1). Let y = 541 - a. Is y a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 5, 2.2, -1 in ascending order.\nAnswer: -1, 0.9, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3 + 5*k**2 + 26*k + 1752. Determine s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -718965*d*s**3*y**2 - 9*d*s**3*y - 4*d*s**2*y - 19*d*s*y - 8*s**3*y wrt y?\nAnswer: -1437930*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 1.1. Let j be 1\/3 + (-1)\/3. Suppose j = -0*l + 5*l + 10. What is the third biggest value in 2\/15, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1\/6)\/(-2 + (-52)\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 2*l, t - 4*l - 11 = -l. Find the second derivative of 86*s**t - 19*s - 121*s**5 - 34*s - 86*s**2 wrt s.\nAnswer: -2420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 22 - 20 = 0. Solve 1 = -2*a - 4*k + 3*k, -2*k = -4*a - c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 13. Let p = 63 + -49. What is the units digit of b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376 - (-1)\/((-4)\/(-24))?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34954457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 2. Let f be s(-7). Let p(r) = -r**3 - 4*r**2 + 6*r + 6. Let d be p(f). Which is the nearest to 0? (a) 3\/7 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*o - 31, 0*u - 5*u + o + 37 = 0. Solve 0 = u*y - 2*y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51273464 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13178.\nAnswer: 2, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 3\/4*x**2 + 0 + 3\/20*x**5 + 5*x - 1\/2*x**3 - 1\/20*x**6 + 0*x**4. Solve t(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/140 - k**4\/56 + k**3\/7 - 9*k**2. Suppose f(z) = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3 + 0*m + 3*m - 3*m**2 + 9*m**2. Let f = 132 - 132. Suppose -2*t + 11 = -f*n + n, 4*t = 3*n + 7. Let w(i) = i**2 + i - 1. What is n*w(l) - j(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1703372269 to 3 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(27\/(-2)))\/(5\/15)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434191435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306 or 143511?\nAnswer: 143511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 1305, 337 in ascending order.\nAnswer: -6, -2, 337, 1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5780 and 0.1787.\nAnswer: -5779.8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 1. Let h be u(-8). Let f(i) = -i - 5. Let r be f(h). Factor 2\/5*c**3 + 2\/5 - 2\/5*c**r - 2\/5*c.\nAnswer: 2*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b + 9. Let k be p(1). Let o = -15 + k. Let i(h) = -31*h**2 + 20*h**o + 27*h**2. Let l(u) = 3*u**2. What is l(i(v))?\nAnswer: 768*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1412\nAnswer: -1\/1412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(44)*-6 - (sqrt(11) + sqrt(66)\/(2*sqrt(6))))*4.\nAnswer: -162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkwhwwwrwrwvw. Give prob of sequence lv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (53 - 13) - -25?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3081 + -2703. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 - 922*a + 5069. Calculate b(-137).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**(-40\/7)\/((g**(-1)\/g)\/g)**(-46) assuming g is positive.\nAnswer: g**(-2938\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -15 - 4852*s + 48 + 4854*s. Let n(d) = -3*d**2. Calculate n(c(i)).\nAnswer: -12*i**2 - 396*i - 3267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 784, 1573, 2368, 3169, 3976, 4789, 5608?\n\"Answer: 3*c**2 + 780*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 + 0.9. Let b = -0.079 - -4.079. Let a = t - b. Put a, -0.4, 2\/5 in decreasing order.\nAnswer: a, 2\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0 + 1. Let b(f) = -2*f. Let n(s) = -5*s + 18. Let h(v) = 6*b(v) - 3*n(v). Let g(j) = -3. Let c(i) = -18*g(i) + h(i). What is c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -684 - -1028. Let a = 963 - h. Let b = a - 428. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/369?\nAnswer: -4\/369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 18409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (59 + (-66 - -30))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/104619 and 5\/313857.\nAnswer: 313857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.002 - 0.098. Let a = x + 45. What is the closest to a in -5, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062880 divided by 7592?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k**3 - 1)*(-35 + 35 + 9*k)*(5 + 5 - 9).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/7? (a) -0.3 (b) -12 (c) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/3 (c) 1\/5 (d) 1 (e) 107.8562\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -95\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 8*k**2 - 19*k + 4. Let j be t(10). Let i(f) = -32*f - 13 + j + 19 + 31*f. What is the tens digit of i(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + -2 + (-59 - -36) + (35 - 8) + -6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 134.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1117412\/13 and -85955 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40197, -40203, -40209, -40215, -40221?\nAnswer: -40227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 + 10902365. Let n(v) = 2*v**2. Calculate x(n(a)).\nAnswer: -36*a**4 + 10902365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8981*m. Let p(b) = -11*b. Give t(p(n)).\nAnswer: -98791*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10\/(i**(9\/10)*i)*(i**(-1)*i)\/(i*i**10))**(-39) assuming i is positive.\nAnswer: i**(1131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wukwijk. Give prob of sequence ku.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 - 22*m**3 + 66*m**2 - 74*m + 28 = 0 for m.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1268*g = 1288*g - 880. Calculate the remainder when 7918 is divided by g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*c - 9 = 0, -2*c + c - 56 = 5*r. Let m be ((-30)\/9 + 8)\/((-2)\/(-9)). Let l = r + m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - 16*y**2 - 18*y - 26. Let p(g) = g**3 + 8*g**2 + 9*g + 12. Let m(s) = 2*d(s) + 5*p(s). Determine m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8861600.\nAnswer: 2, 5, 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b - 6996 = -65*b. What is the nearest to 0 in -5, 0, -3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 4, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + 2. Let j(a) = -a**2 - 1. Let b be (-1)\/2*2 + -2. Determine b*o(d) - 4*j(d).\nAnswer: 3*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29704 and 25427.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2296\/2845 - 4\/569. Let p = 8 - 5. Which is the nearest to 1\/3? (a) p (b) -2\/11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 3 = 4*i. Suppose -4*y = -2*l - 82, -i*y = -5*y - l + 13. Calculate the lowest common multiple of y and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 2, m: 2, f: 1, n: 3, h: 2}. What is prob of sequence iif?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140060 and 9400.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/177 + -4151\/1770. Calculate the common denominator of q and -33\/74.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664 is divided by 890?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1908)\/795*60\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 30. Let a be p(6). Let g(q) = q**2 - 4*q - 4. Give g(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, -3, 7, 0, -5 in descending order.\nAnswer: 115, 7, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbrbsrbbbcb. Give prob of sequence bcbr.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.5 - 0.5. Let s = o + 18. What is the nearest to 0.01 in s, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 0)\/((-1)\/(-4)). Let c(v) be the third derivative of -v**4\/2 - 10*v**3\/3 - 9*v**2. What are the prime factors of c(h)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2. Suppose -4*w + 7 + 1 = 0. Let i be 11\/4 - 3\/(-12). Let n(v) = w*v + 3*v - i*v. Give n(h(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - 13*b - 13. Let q(z) = -3*z**2 - 7*z - 7. Let i(w) = -6*c(w) + 11*q(w). What is i(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 2*f - 5. Let t be u(4). Let d = t - 19. Suppose -2*c + 20 = -d*a + a, 3*a = -4*c + 36. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-253)\/5)\/((-2349)\/(-10224) - 0). Let j = -1982\/9 - q. What is the nearest to j in -2\/11, -0.2, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 128\/60 + (-2)\/15. Suppose -2*g = -w - 12. What is the least common multiple of g and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.74 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - b - 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1518 and 2354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 148811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 26*b**2 + 100*b + 58. Let o be v(21). Let h = 31 + -74. Let w = o - h. Let y(l) = l. Let m(k) = -7*k - 1. Calculate w*y(x) - m(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/33*110\/(-90)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 403 - 218. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1872 and -101\/112424.\nAnswer: 2023632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s**2 + s + 160. Let w be g(0). Suppose 3*c = -c + w. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 46. Let d = 2.2 - 2. What is the second smallest value in p, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/64)\/(3\/(-144)*1). Are h and -702\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146121897*a**3*p + 38*a**3 + 2115507*a wrt p?\nAnswer: -146121897*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 1 = 0, r - 6 + 5 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 107 = -5*p, 24 = 2*y - 4*p - 18. Let z = 8 - 4. Suppose -4*m + 112 + 26 = 5*g, m + z*g - y = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20929 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3510 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 170 in -85, -3438, 4\/3, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26553474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bwbbbbybbybwbbb?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.37091ml?\nAnswer: 0.07837091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/6)\/((-36)\/2))\/(((-144)\/(-567))\/(-8))\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1143 + -1143. What is the closest to 2\/13 in 0.3, -3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 78415\nAnswer: -16\/78415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 17317*t**2\/5 + 6338136*t\/5 + 117245844.\nAnswer: (t + 186)**2*(t + 16945)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.226? (a) -0.2 (b) 0.4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - (0 + (-45)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/12 - 5*f**4\/24 - f**3\/6 - 5*f**2. Let q(c) = -c**3 - c**2 + c + 1. Let w(i) = -k(i) - 5*q(i). Differentiate w(p) wrt p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-16)\/(-4) + -3 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**3 + 0*o**2 + 0*o**2)*(-11 - 4 + 2)*(2*o + 58*o + 27*o) as q*o**4 + k*o + u + g*o**3 + c*o**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3688*r - 1861*r + 1750 = 1877*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*t - r - 395, 5*r - 274 = -3*t. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88310810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 242 - 16. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 61 = -2*o, o = -y - 3 + 23. Calculate the remainder when -3 - 36\/(-6) - (1 - 88) is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81644 and 1979867?\nAnswer: 7919468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 83, 90, 99, 110, 123, 138?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10624707048668 - 9\nAnswer: -10624707048677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 - 17*v**2\/5 + 16*v - 64\/5.\nAnswer: (v - 8)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45933735 and 451.\nAnswer: 505271085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 286\/135?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 4*z = -11*y - 12, 3*y - 3*z - 9 = 0. Suppose y = 3*v + 2*v - 135. Calculate the greatest common factor of 216 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 17, 2\/11 in increasing order.\nAnswer: -2\/11, 2\/11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 10. Let j be q(-10). Let a = -1395\/377 + 49\/13. Is j at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -4. Let q = n - 9. Which is the biggest value? (a) -0.5 (b) -2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19564101 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 603694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-8)\/60 - (-26)\/6. Let r be -8 - -6 - q\/(-1) - 0. Solve 0 = -r*m - 6 - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1*sqrt(119) - sqrt(119)) + sqrt(119)*1*6 + sqrt(119))*1)\/(sqrt(49)\/((sqrt(35)\/sqrt(5) + sqrt(7))*-1)*-2).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v + 583. Calculate the lowest common multiple of k(37) and 1.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 + z - 37. Let v(y) = -2*y**2 - 36. Let u(x) = -3*i(x) + 4*v(x). Let j be u(5). Let c = j + 29. Solve 6*d - 4*d - c = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 1 (c) 0.4 (d) 8 (e) -27 (f) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518454 and 3267.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -30*u + 62*u - 34*u - 19, u + 2*i = -11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 0. Let c = 4 + 16. Calculate the highest common divisor of t and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:13 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5719*c**3 + 5716*c**3 + c**2 + 4*c**2 - 11446*c**3 in the form b*c + d + l*c**2 + y*c**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 5. Suppose 0 = -3*w + l + 2. Solve 25 = v + w*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 1 + 2*v + 0*v)*(-4*v**4 + 5 - 5) - 363*v**5 + 1759*v**5 + 472*v**5.\nAnswer: 1864*v**5 + 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -40. Let x be 8\/3*(-27615)\/o. Suppose 2*h + f - 4907 = 0, 3*h - f + 6*f - x = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 2*m - 2. Let a be q(2). Let l = -3 + a. Suppose u - 6*u = -3*t + 29, 0 = 3*t - 9. Put l, 5, u in descending order.\nAnswer: 5, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 6 + -4 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z. Let k(r) = -6*r**2 - 4*r + 4. Let s(q) = -5*j(q) - k(q). Let c(m) = 2*m**2 - m - 4. Let t(v) = 2*c(v) - 3*s(v). Calculate t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64 + 1\/(3 + (-2 - 2)). What is the highest common factor of 72 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**4\/5 - 352*m**3 + 804426*m**2\/5 + 269508*m\/5 - 536672\/5 = 0. What is m?\nAnswer: -541, -1, 2\/3, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1864 is divided by 177.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 973530 divided by 194706?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*a**2 - 18*a**2 - 64*a - 74*a - 52*a**2 + 138*a - 24*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14785, -15268, -15765, -16282, -16825, -17400?\n\"Answer: -w**3 - w**2 - 473*w - 14310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77780861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3626322020 divided by 4\nAnswer: -906580505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 185289\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.22, -4, -2\/7, 7, 0.67, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2*(-22 - -15). Solve 19 - q = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58063\/6 + -96013\/10. Which is smaller: 75 or u?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4140, 0.05305?\nAnswer: 0.05305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -2\/9 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a + -1154c6?\nAnswer: -115532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 31 + (-30 - -19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {v: 2, p: 2, t: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 221129, 218405, 215681, 212957?\n\"Answer: -2724*x + 223853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733, 444, -37, -710?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 710946, 1421889, 2132818, 2843727, 3554610?\n\"Answer: -t**3 - t**2 + 710953*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 8 + 80*n - 27*n**2 + 15*n - 109*n. Calculate z(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408 and 918?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d*d**(-16))\/d)\/d))**(-24) assuming d is positive.\nAnswer: d**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4585680 and 113\/1987128.\nAnswer: 59613840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27198 in -1\/5, -1\/11, -1\/6, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1774*z**3 + 89531*z**2 - 3*z + 60922369 wrt z?\nAnswer: 10644*z + 179062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425)*1 + -5 + 4)**2.\nAnswer: 10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.553 and -0.112.\nAnswer: -20.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 40*f - 115*f = -256. Let l(v) = 17*v**2 - 8*v - 5. Let w(h) = 8*h**2 - 4*h - 2. What is f*l(j) - 5*w(j)?\nAnswer: -6*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (12 - 6 - -10 - -1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83.82 - -78.1537. What is k rounded to 1 decimal place?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3281 divide 2311329979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 585\/(-1287)*(-1)\/5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.67 or -4?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -4937 - 17863. Suppose 0 = -4*o + 5*o - l. Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69 + 344855?\nAnswer: 344913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/3*1\/10)\/(2\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 7*o - 5. Let u be n(6). Suppose -3*s - s - 8 = 0. Let w be -1 - -7 - (s - -2). Solve w = -j + u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -32, -71, -148, -275?\n\"Answer: -2*j**3 - j**2 + 4*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/2291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 - h - 1. Let r(q) = -3*q**3 - 2 - 4 + 2*q - 6*q**2 - 12*q**2 + q**3. Let a(g) = -r(g) + 6*x(g). Factor a(t).\nAnswer: -4*t*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582960 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3 - 83*d**2\/2 + 4423*d\/2 + 1116 = 0.\nAnswer: -72, -1\/2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 5*l - 9*l as k + h*l and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 42*s - 16. Let l be i(46). Calculate the highest common divisor of 1372 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10087, 20146, 30205, 40264, 50323, 60382?\n\"Answer: 10059*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2396*j**2*n**3 + 7*j*n**3 - 5*j - n**3 wrt j.\nAnswer: -4792*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*s - 1 - 4 + 2*s + 4 + (-2 + 1 + 2)*(2*s + 3 - 3).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1 - 7) + (1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p - 20 = 0. Suppose 2*t - p*h = -h + 28, 0 = 4*h. Find the second derivative of t - 2*u**3 - u - 14 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r + 3*r)*(-2 + 4 - 5)*(-54*r - 48*r + 27*r)*(2 - 1 - 2)*(-2 - 3 + 6).\nAnswer: -675*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10103753?\nAnswer: 11, 41, 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 3113*t**5\/10 - t**4\/6 + t**3\/6 + 7791*t**2\/2 - 9626*t. Differentiate y(d) wrt d.\nAnswer: 18678*d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 75*z**2 + 2*z - 72*z**2 + 222*z**2 - 68*z**2 to c + n*z + d*z**3 + j*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 685391, 1370894, 2056397, 2741900?\nAnswer: 3427403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 - -1002. Let p = -853.597 + d. What is p rounded to 2 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, i: 2}. What is prob of sequence wii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 44. Suppose -3*o + 45 = -6*o. Let p = o + i. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-16))*(g*g*g**(-3\/7)*g)\/g)\/(g**(-2\/3)\/g*g**3) assuming g is positive.\nAnswer: g**(341\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 235*k**3 - 10*k**2 + k + 4. Determine o(-1).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)\/h)**(-46)*h**(-2\/27)\/(h**(1\/3)*h) assuming h is positive.\nAnswer: h**(1204\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 5*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c - 472. Give d(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3231*o - 3 + 2*o**3 + 6459*o - 3230*o. Suppose -4*j = -7*j + 3*t - 21, 2*j - 10 = -4*t. Let n(h) = 2*h**3 - 3*h - 4. Give j*n(y) + 4*m(y).\nAnswer: 2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 10 = -l. Suppose l*x - 3*x = -2*j + 20, 5*j - 50 = 3*x. Calculate the greatest common divisor of 110 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23\/7 of a week?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4684 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -44000*b**2 - b - 1. Suppose -n = -4*i + 12, -5*n = 5*i - 2*n + 2. Suppose 0 = -i*x - 3 + 1. Let j be o(x). Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 1. Let p(a) = -2*a**2 - 5*a - 4. Let r be p(-1). Let s be m(r). Calculate the highest common divisor of 6 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/4157595 and 19\/7483671.\nAnswer: 37418355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 11) to base 3.\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -260? (a) 3 (b) -21406 (c) -2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5881*q**5 + 1848*q?\nAnswer: 117620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.8 (b) 0.39 (c) -2\/3 (d) -4 (e) 4\/19 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227117785 divided by 5.\nAnswer: 45423557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from {i: 1, t: 2, l: 3, o: 1, w: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*v - 119864 = 0, -p - 5*v + 59932 = -0*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/4)\/((-40)\/(-24)))\/((-93)\/(-124))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -48, -3, 1, -16, -4, 6 in ascending order.\nAnswer: -48, -16, -4, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30003038*p**4*y**2 - 4*y**2 + 4128101*y wrt p.\nAnswer: 120012152*p**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 5. Let c(b) = -11*b + 15. Give -6*c(n) + 17*m(n).\nAnswer: -2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*y = -10, -2*d + 14*y - 17*y + 11 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 629\/2 + -308. Let t = s + -7. Let p = -0.7 - -4.7. What is the closest to -1 in t, -5\/4, p?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 0*b**2 + 112 + 4*b**2 + 3*b**2 + 50*b - 6*b - 3*b**2 = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:53 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 20*c + 73. Give i(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138 + 57?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1*48\/104)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 15. Let b(x) = 8*x**2 - 4*x**3 - 3 + o*x**3 - 1 - 4*x**2. What is b(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-8)*(-4)\/6. Suppose 1440 = 7*m + 9*m. Let y be (-14)\/40*m\/(-315). Which is the biggest value? (a) y (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-2) - (45 - 39). List the prime factors of (-1)\/5 + (-3262)\/s.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + k - 3 = 0, -3*g + 8*g = 2*k + 12. Let u = 44 - -4. Suppose -g*o + u = 20. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12*w**2. Let d(f) = 27*f**2 - 4. Let c(m) = -33*m**2 + 5. Let p(y) = -6*c(y) - 7*d(y). Determine g(p(b)).\nAnswer: -972*b**4 + 432*b**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20653 + 702113\/34. What is the common denominator of -7\/24 and r?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*b + 42*b + 20*b)*((-1 - 1 + 4)*(2*b**2 + 3 - 3) - 4*b**2 + 5*b**2 - 3*b**2) - 2*b**3 + 0 + 0.\nAnswer: -50*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 + 4*x - 5. Let q(y) = -y + 1. Let a(g) = b(g) + 4*q(g). Give a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let u(y) = y**2 - 3*y - 3. Let z(r) = 4*m(r) + u(r). Let k be z(-2). Differentiate 2*v**3 - 4*v**3 + 3*v**3 - 2 + 2*v**k with respect to v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1160 in -1, -4, 3, 134, 0.4?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 24*v - 2. Let q(m) = -2*m. Let d(k) = -k**2 - 11*k. Let p(z) = -2*d(z) + 11*q(z). Give y(p(t)).\nAnswer: 48*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Let p(c) = -3 + 4 + b*c - 2 + c. What is p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -660*r**5 + 666*r**5 - 91 - 114 + 2*r**5 + 2*r**5 - 5*r**5 + (-2*r**3 - r**3 + 2*r**3)*(2*r**2 - 2*r**2 + 2*r**2).\nAnswer: 3*r**5 - 205","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1 (b) 1\/7 (c) 75\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2937)\/(-18) + 5\/(-30 + 0). Differentiate 484 - 163 + 17*j - u - 161 with respect to j.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h - 259 - 391 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 167*y**3 + y**2 - 95*y**3.\nAnswer: 72*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(1 + (sqrt(104) + (sqrt(104)*1*-5 - sqrt(104)))\/sqrt(8))**2*-2 + -1.\nAnswer: -653 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470015388?\nAnswer: 2, 3, 17, 19, 83, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = 13, 3*t = 3*q. Suppose t*r + 0*r + 416000 = 4*o, -4*r - 416000 = 5*o. Round r to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -333 - -356. Suppose -m*o - 803392 = -8312892. Round o to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, c: 4}. Give prob of picking 2 c and 1 l.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*o**2*v + 4*n*o**2 + 1464*n*o*v**2 + 3*o**2*v**3 + 172*o**2 - 30*o*v**3 wrt o.\nAnswer: -2*n*v + 8*n + 6*v**3 + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24698\/932*1*4)\/(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 451526437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from {j: 3, f: 2, n: 2, g: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 - -158. What is the lowest common multiple of 12 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (4 - 61) - (-4 + 20 + 1)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 14) in base 11?\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 448\/15 - 30. Let t = -9 - -9.5. Let z = 3.6 - 4. Put z, t, q in descending order.\nAnswer: t, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74600, -149074, -223526, -297956, -372364, -446750?\nAnswer: -521114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53526, -53527, -53528, -53529?\nAnswer: -53530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*n - 3*x, -n + 4*x = -14. Let v be (3\/2)\/(n\/36). Suppose -2*m + 5*y + v = -5*m, -3*y - 9 = 0. Calculate the least common multiple of m and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - -6) + (-13 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o - 2*o**3 - 370 + 362 + 8*o**2 + o**3. Let c(l) = -6*l + 1. Let m be c(-1). Determine a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -0.5. Let z = 2.4 + 0.6. Let t = -2566 + 12832\/5. Which is the biggest value? (a) 0.37 (b) z (c) t (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(84)\/sqrt(2) - sqrt(42)) - (sqrt(84)\/(sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2)) + sqrt(42)))*-6)\/(3*-6*sqrt(6)*1*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:43 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -2*i + 5*r, 4*i + 2*r = 207 + 107. Let w be i\/25 - 2\/10. Suppose -11*g - 5 = -3*y - 12*g, y - g - 3 = 0. Solve -q = -w*q - y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 1, o: 1, e: 1, j: 5}. Give prob of picking 1 e and 1 j.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) 5 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (430\/40 - 11) + 0. What is the nearest to 1 in 0.1, p, -0.03, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:36 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p - 3 = -37*p. Let x = p + 21. Let r = 112 + x. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1086 and 33.\nAnswer: 11946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892*c = -895*c - 4*i + 12, -4*i = 4*c - 20. Solve 4*f + 8 = 0, -3*f = 4*r - 7*f - c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -11?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 + 194. Let b = f - 270. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 - 588*b**4 + 6252*b**3 - 7256*b**2 - 28974*b + 30564 = 0. Calculate b.\nAnswer: -2, 1, 3, 9, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4 - 3 + 2 + 2*z**2 - 2*z**4 to the form d*z**2 + i*z**3 + a*z**4 + m + b*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atutoaaatoootooa. What is prob of picking 2 t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let h(d) = d + 4. Let q(c) = -3*h(c) + 12*m(c). Let g(k) = -k. Calculate q(g(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 29*h - 1629 = 23*h - 329 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9065 divided by 5.\nAnswer: -1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*x**2 + 144*g**3*x + 4058*g**3 - 32087012*g**2*x**4 + 5*g**2 + g - 2*x wrt x?\nAnswer: -2*g**3 - 385044144*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541371978 divided by 1432201.\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 49449*x + 148379*x + 2 - 49465*x - 49439*x.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:13 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.064 in -176, 1\/3, 0, 0.02, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 3 - 1)*(4 - 4 - d) + (1 + 1 - 3)*(-6*d + d + 4*d).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -2*q, 0*q - 5*q + 29 = 2*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i. Let s(l) = 597693*l**2. What is a(s(t))?\nAnswer: 8367702*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-391*t + 516*t - 1866*t)*(-3 - 2*t**2 + 3).\nAnswer: 3482*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -231*p*q**4 + 3530*p*q**3 - 35520*p - 176 wrt q.\nAnswer: -924*p*q**3 + 10590*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -733 = -9*z + 779. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1890 divide 998058257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 + 111. Sort k, -4, -18, 4 in ascending order.\nAnswer: -18, -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 21*i**5 + 867*i**4 - 10275*i**3 + 6633*i**2 + 2754*i = 0.\nAnswer: -51, -2\/7, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - (-16 + 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 33000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(931) + sqrt(931))*-3)**2 - ((sqrt(19) + -3 + 1 + 1)**2 + 1).\nAnswer: -1006*sqrt(19) + 33639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5131*x + 456*x + 234952 + 168480 + 188790 = 0 for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -23*s + 14. Let d(o) = 8*o - 5. Let t(v) = 4*c(v) + 11*d(v). Is t(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/(1\/(-8)*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 13, i: 2, w: 2}. Give prob of picking 2 g.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or -144?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:34 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:30 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jirjiiigifvj. What is prob of sequence jrg?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21968 - 21411. Put 5, j, -2, 1, 3 in descending order.\nAnswer: j, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12718.352 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 148*h**2\/7 - 386*h - 2848\/7.\nAnswer: 2*(h - 16)*(h + 1)*(h + 89)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 4.46\nAnswer: -66.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/4 - 11*w**3\/3 + 2*w**2 - 9*w - 2. What is the remainder when r(11) is divided by 6\/(-9)*-9*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 - 9*l + 5*l**2 + 9*l wrt l?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287b9 (base 13) to base 14.\nAnswer: 1d9cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k - 23. Let t be o(4). Suppose 11*q = t*q. Let 3\/8*w**2 + q - 9\/8*w**3 + 3\/4*w - 3\/8*w**4 + 3\/8*w**5 = 0. What is w?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*u = -13, -20*q + 38*u - 111 = -50*q + 17*q + 16*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:56 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -427200061\/606280 + 2\/75785. Let v = 50233\/72 + i. Calculate the common denominator of -9\/10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)**(5\/19)*(s\/(s*s**(-2\/7)))**(-1\/3))\/(s**2\/s*s*s**(-6\/11)*s*s**(-6)\/((s*s**(-3\/7)*s)\/s)) assuming s is positive.\nAnswer: s**(18806\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*112\/(-14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = v - i, 5*v - i - i = 80. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035901 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568010.\nAnswer: 2, 3, 5, 52267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -m - 7, -3*j - 3*m = -3 - 12. Let o(i) = -5*i + 4*i**2 - 3*i + j*i + 5*i. What is the units digit of o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 4737462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 12 = -4*c. Let z = c + -28. Does 9 divide -2 + z + (-264)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10 + (-24)\/40. What is the closest to 1 in 5\/3, 2, n?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*l**4*o - 7*l**3*o - 4396*l*o + 177*o - 3661 wrt l?\nAnswer: 32*l**3*o - 21*l**2*o - 4396*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75\/4 of a microgram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*2 + sqrt(2448) + -4)**2 - sqrt(2448)) + 0.\nAnswer: -300*sqrt(17) + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = 4*k. Let h be -14*(12 + -19)\/(1\/k). Let n = 301 - h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) -2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25020 by -9.\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - (-4 + 5) - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*c**3 + 10*c**3 - 16*c**3)*(1 + 0 + 0) to z*c + h*c**3 + v + k*c**2 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, -5, 691, -24, -6 in increasing order.\nAnswer: -24, -6, -5, -1, 2, 5, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = 36*k + 1202 - 1742 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u*u\/(u*u**5\/u))\/(u**(-5)*u*u*u**(1\/2)\/u*u) assuming u is positive.\nAnswer: u**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3129 + 5982. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8142 divided by -48827.\nAnswer: 8142\/48827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20.78+-0.086\nAnswer: -20.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllyylly. What is prob of picking 2 l?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**8\/84 + 26*o**7\/105 + 21*o**6\/10 + 139*o**5\/15 + 68*o**4\/3 + 32*o**3 - 5*o**2 - 50*o. What is v in k(v) = 0?\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(120)*-5)\/(sqrt(12) - sqrt(96)\/(-2*sqrt(8))))\/(sqrt(605) + -6*sqrt(605)*-1 - (5*2*sqrt(605) - sqrt(605))).\nAnswer: 10*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193486 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g. Let u(q) = 2*q. Let n(m) = -14*k(m) + 6*u(m). Let v(l) = -10*l**2. Give v(n(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.5, 1\/4, 159, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (-1 + (-6*2*sqrt(153))**2 - (sqrt(153)*1 + 5 + (sqrt(153) - (-5 + (sqrt(153) - sqrt(153)*1)**2))))).\nAnswer: -44036 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 737739\/2 or 368870?\nAnswer: 737739\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -5.5?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216416233.\nAnswer: 11, 2381, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0116969 to 4 decimal places.\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10) - 4\/(-20). Suppose -t = 3*r - 6*r - i, t = -r + 1. Let z(x) = -x + 2. Let j be z(r). Solve s = -j*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/110)\/(1\/((-225)\/(-330)))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88.4 + 77.4. Put -57, -5, i in increasing order.\nAnswer: -57, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3 + 28740*r**2 - 57489*r + 28746 = 0.\nAnswer: -9582, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-16) - 66\/(-8). Solve -2*y - 19 = -y + 4*o, 2*o + j = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 7:52 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4074 (base 12) to base 10\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236.5 + -236.5. Sort -72\/17, v, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, v, -72\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 69e1e?\nAnswer: 69e21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -744\/5 + 582\/5. Let r = 32 + j. Let k = 113 + -114. Which is the second smallest value? (a) -2\/21 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -891a (base 11) to base 15\nAnswer: -373d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppqq when four letters picked without replacement from eqqqeppeepeeppeeepeq?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3660\/1833 + (-30)\/15. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68944 rounded to three decimal places?\nAnswer: -0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8463 + 8467. Solve 2*k - 16 = -4*t, -5*k + 2 + 8 = g*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 657.4633 tonnes in nanograms?\nAnswer: 657463300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1837\/774 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 - 2*i**2 + 6*i**2)*(3 - 4 + 3) + 8*i**2 - 5*i**2 - 2*i**2 + 11 as c + g*i + y*i**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 146?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = 2*h - 1, -4*h + 3*x = 18. Let z = -651.11 - -687.11. Which is the closest to 0.1? (a) z (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -28, -1 in descending order.\nAnswer: 9, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppppppvpppv?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f. Let r be (1 + -17)\/(11 - f). Let q = 122\/99 + r. What is the second smallest value in q, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2582710 - -5225654. Let o = c - 1272944. Round o to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6359 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 40 = w, 3*w + 204 = -3*q + 222 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108414 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168*u**3 - 2 + 7 - 3.\nAnswer: 1168*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 22*w - 1. Calculate x(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6*n**2 + 0 + 6*n**3.\nAnswer: 6*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 21 = -27. Let q = y - 5. Let u = 8 - q. Solve -u = 4*s + 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123336 = 124*o - 118996 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*b. Suppose 2*m + b = 4*w + 7*m, -2*w - 5*m - 8 = 0. What are the prime factors of (-3)\/w + 34\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 25*v - 28. Give y(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 8*d. Suppose -3*n + 18 = -0*n. Let i(t) = -t + 29 + t**2 - 29. What is n*i(l) - z(l)?\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -882, 8\/6281?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0)*8*4\/48. Solve 2*l + 11 = y*n - l, 1 = -2*n - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*t - 32 = -p, -3*t + 3 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -4*s = y - 500, g*y + y = -4*s + 1540. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/16 and 107\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 + 2*o - 8. Determine b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (-5*sqrt(72) + sqrt(72))*2) + -3*((sqrt(72) + sqrt(72) + -1*sqrt(72) - sqrt(72)) + sqrt(72)) + 2)**2*4.\nAnswer: 576*sqrt(2) + 10384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/8 - 139*q**3\/2 + q**2. Let c be a(0). Let m = -2509\/6 - c. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(880\/940) + 12\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/2? (a) -2\/11 (b) 2\/9 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -916, -1344, -1796, -2278, -2796, -3356, -3964?\nAnswer: -4626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b + 0*b)*(-5 + 1 + 1).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5834 and 9.\nAnswer: 5.2506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 64\/112*1239\/6. Let w = 132 - d. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171245 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87317385\/161664899 + 83\/415591. Let l = f - -2\/389. Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -13)*(-4)\/(-16) + 39\/92.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.317 in 2\/5, 2\/11, -5, 3\/5, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 - 156*f**2 - 2822*f + 2976 = 0.\nAnswer: -16, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/186)\/(6\/(-8)). Let b = -6 + 6.1. Is b bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 8*t. Let b be u(-7). Let s = b - 54. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**4 - 8*p**2 - 2*p + 2. Let z(f) = 7*f**4 - 8*f**2 - 3*f + 3. Let u(x) = 3*q(x) - 2*z(x). What is the third derivative of u(j) wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36527925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 493.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216.5005284 + -216.5. Round g to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8428 and 5504?\nAnswer: 269696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -5 (c) 1 (d) 254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 88\/72 - (-768)\/432. Let r(x) = 2*x**3 + 3*x**2 + x - 1. Let t(w) = -5*w**3 - 6*w**2 - w + 1. Let m(i) = -7*r(i) - 3*t(i). What is m(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - 2\/(-10). Suppose 0 = 3*a - m*a - 42. Suppose -3*k - a = -4*k. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/12 + w**3\/3 + 3*w. Let i be u(3). Let c = 38 + -36. What is the closest to 0 in i, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000074165 rounded to seven decimal places?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + 0.32. Let z = 6 + -2. Let w = -0.937 + -4.063. What is the fourth smallest value in y, -0.3, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 4. Determine q(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27185, 27175, 27205, 27275, 27385, 27535, 27725?\nAnswer: 27955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*h - 542*h + 69582 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 29 - 27 - 29 + g - 26.\nAnswer: g + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from yiyiiiyiiyyiiyyyyyyi.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.6 - -42.6. Let q = g - 35. What is the second smallest value in 0.5, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1338*z + 908*z + 427*z. Let n(u) = -5*u**2 - 92*u. What is n(l(j))?\nAnswer: -45*j**2 + 276*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 1. Let p be 12\/(-168)*-14*0. Determine d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by ((-85)\/10 - -3)*2*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + y**3 - y**3 + 63*y**3 - 18*y**3 + 10*y**3 - 2*y**3 + y - y + 0*y**3 + 0*y**3 + 2*y**3 + (y + 0*y + 0*y)*(2*y**2 - 3*y**2 + 2*y**2).\nAnswer: 54*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4320 divided by 5?\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/g**11)\/((g\/(g**(-2\/7)\/g))\/(g**(-11)*g)) assuming g is positive.\nAnswer: g**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 33 = 2*m, 0 = -3*n - 2*n + 4*m + 55. Let r be 19 + (2\/n - (-39)\/(-33)). Solve 12*g = r + 42 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 757, 742, 727?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.7 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -1569*j**4\/2 - 6278*j**3 + 1537*j**2\/2 + 6278*j + 16 = 0.\nAnswer: -8, -1, -4\/1569, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*i - 3 + 1, 3*g + 3*i - 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57033\/10 - -5692. Calculate the common denominator of -87\/14 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + -1?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1\/7)*y))\/y*y*y**(-3\/7) assuming y is positive.\nAnswer: y**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, -3, -1, -13, -0.92, 207?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/15 and -151\/5898?\nAnswer: 29490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 270883534 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 113?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 60*r - 203. What is the remainder when 3225 is divided by s(24)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 4. Let j be y(8). Let c be (24\/(-2))\/j + 1. What is the third derivative of 3*v**3 - 6*v**3 - 8*v**2 - c*v**3 + 3*v**2 wrt v?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 + -2. Let s(h) = h**2 - h + 12. Let g be s(0). What is the greatest common factor of g and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 4902.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + 5. Factor -27*w - 140*w**4 - i*w**2 + 6*w**3 - 3*w**5 + 77*w**4 + 75*w**4.\nAnswer: -3*w*(w - 3)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16 = 0, -5*v + 16 = 2*o + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 3. Suppose -2*l + 2 + 4 = 0. Let s(j) be the third derivative of 3*j**4\/8 + 5*j**3\/6 - 12*j**2 - 1. Give l*s(o) - 5*u(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1872. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, k: 9, n: 1}. Give prob of sequence kkkn.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18778267, -37556534, -56334801, -75113068, -93891335, -112669602?\n\"Answer: -18778267*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcc when three letters picked without replacement from {l: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1350702 - 2?\nAnswer: 1350700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w + 5*t, -2*w + 7*t - 11*t + 4 = 0. Suppose 5*x + w*a = 2*a + 1116, -a + 226 = x. What is the remainder when x is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 7*w + 4. Suppose w*l = 2*c + 32, 2*l - 19 = 4*c + 69. Calculate the lowest common multiple of ((-20)\/(-12))\/((-4)\/c) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*j**2*q**3 + 21*j**2*q**2 - 2*j**2*q + 7*j*q + 24*q wrt q.\nAnswer: 306*j**2*q + 42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -1) + 24 + -11. Suppose -s - 5*z + 68 = 0, -4*z + 66 = 2*s - n*z. Suppose -47*d = -s*d - 272. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 25 = m. Let s(f) = f**2 + 4*f. Let q be s(m). Solve p + q*d - 1 = 0, -4*p - 5*d = -d + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.089 in 0.2, 0.4, 4, -2\/3, -0.091?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*h + 4*z, -h + 4*z + 10 = -z. Suppose -5*p - 3*n = -5*n + 55, 5*p + 4*n + h = 0. Let t be (-4 - 9\/(-3))\/(3\/p). Solve -v = -t*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*j - 10, j - 5*l + 25 = 3*j. Which is the third smallest value? (a) j (b) 2 (c) 2\/5 (d) -0.13 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 19*l**4\/12 - 2*l**2 + 12*l. Let m(q) = 19*q**2 - 3. Let v(u) = 5*m(u) - 4*x(u). What is the derivative of v(f) wrt f?\nAnswer: 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-2))\/(3\/8) - 385*(-20)\/700?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324 - 10*v - 324)*((-2 + 3 + 1)*(6*v - v - 3*v) + (5*v - 4*v - 2*v)*(-4 + 3 + 2)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 30. Let k(z) = -z. Determine k(w(h)).\nAnswer: -2*h + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161960077 is divided by 40490017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - v**2 + 22*v**2 + 22*v**2 + v.\nAnswer: 43*v**2 + v + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3600189 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 88 = 3*h. Let m = h - 48. Let k be 0 + m + 6 - 2. Solve 4 = -2*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(33)\/sqrt(48))**2*2*6*-1.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -440, -878, -1316, -1754, -2192?\n\"Answer: -438*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (-3 + 6) - (-78 - -90)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 + 85. Let z = 107 + g. Suppose 5*s - 46 - z = 0. Solve 3*v + s = -3*t + 1, v + 4 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292840 or 292837?\nAnswer: 292837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729241877 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) -1\/2 (c) 9 (d) 0.01 (e) -1\/334 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.2 - 4.2. Which is bigger: 0.21 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 5*o - 4. Let l be m(3). What is the units digit of l\/(-28) - (-1266)\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((-12)\/32*4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r, 0*t + t = 5*r + 16. Let q(i) = 9*i**2 + 45*i + 4. Calculate the smallest common multiple of q(-5) and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163.59512*7\nAnswer: 1145.16584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 84*l - 216 = 0. What is l?\nAnswer: -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -107431153 and -0.083414.\nAnswer: -107431153.083414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/3 + (-13)\/(-39). Suppose 5*y - 60 = 20. Let j = y + n. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63415, -126823, -190217, -253591, -316939, -380255, -443533, -506767?\n\"Answer: r**3 + r**2 - 63418*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*z - 150*z + 295*z + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3536593 and 49217?\nAnswer: 7031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 229.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064709 rounded to six decimal places?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12873 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6 - 8. Solve -5*r + l = -8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -2*w, -5*u = -0*u - 3*w + 13. Suppose 1 = -l + 3. Let a = u + l. Solve a = -0*r - r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 2*p**2 + 7*p. Let b be m(3). Suppose 0*d - d = -5*g + 60, 0 = 5*d. Is 5379\/g - (-9)\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 265\/(-45) + (-10)\/(-12) + -1 and -71\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6819 + 6818.6. What is the fourth smallest value in -1\/7, -7, -2\/17, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -240*b + 79*b**3 + 240*b + (2*b - 4*b + 5*b)*(3*b**2 - 5*b**2 - 2*b**2) in the form g + l*b**2 + h*b**3 + t*b and give h.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47881, 47901, 47925, 47953, 47985, 48021, 48061?\nAnswer: 48105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 602620*o + 9039350\/3.\nAnswer: -2*(o - 903935)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6314143, 12628248, 18942353?\n\"Answer: 6314105*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -18\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 978 + -1455. Let u be 4\/6*w\/(-6). Let k = 9 + u. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -20*f + 2. Let r be t(0). Factor 1\/2*g + 1\/2*g**r + 0 - 1\/2*g**4 - 1\/2*g**3.\nAnswer: -g*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2499*f**2 - 21*f - 17. Is j(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2350 and 123375.\nAnswer: 246750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 145807517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079964037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juqr when four letters picked without replacement from suqcjjjjjrsjjjjcuc.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21098612 to the nearest integer?\nAnswer: 4593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 5 - 1) + (-3 - 206). Let u be (-8)\/28 - ((-6516)\/21 + 2). Let n = j + u. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m - 4*k + 14, m - 5 = -k. Suppose 34 = 2*r - 2*v, -4*r - m*v - v = -61. Suppose 2*y + 0 = r. What is the greatest common factor of 40 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*q, f - 7*q + 3*q = 0. Suppose 5*u - p - 76 = f, 3*u + 3*p - 42 = 18. Suppose 32 + u = 4*w. Solve h + w = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 8*p - p. Solve p = -3*u + 4*j - 0*j - 26, -4*j = -u - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 7*p**6\/120 - 4*p**5\/15 - 16*p**2. Find the third derivative of b(j) wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:46 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {m: 1, g: 1, h: 1, q: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11.02, 0.3, -143\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 258, 197, 112, 3?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 25*u - 80. Let h(f) = -f**3 - 18*f**2 - 15*f + 6. Let b be h(-17). Let s be i(b). Let x(p) = p**2 + 2*p - 6. Give x(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 11. Suppose 2*b - 38 - 332 = -w*o, 4*b = 3*o - 340. Suppose -o = -5*h - 15. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 147045.\nAnswer: 147045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -909423, -909411, -909399, -909387?\n\"Answer: 12*m - 909435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/4)\/(1\/(-3)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457 is divided by 242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330 + -334. Put -8, 4, v in increasing order.\nAnswer: -8, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 - 2*b - 3. Let j be v(-3). Suppose 2*d = j*l + 18, 2*d + 5*l + 2 - 4 = 0. What is the least common multiple of d and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c - 35. Let f = 3126 + -2821. Calculate the greatest common divisor of c and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/3 - 4*i**3\/3 + 6*i**2 + 47*i. Let a(o) = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2811*c = 2802*c + 32414 + 32476. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from yyyzzyzzyyzyyyzzyyzz?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 566*b**2 + 5822*b + 354. Give c(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/9? (a) 0.2 (b) -1\/8 (c) -0.06 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 1\/6*m**3 + 11\/20*m**5 + 1\/6*m**4 + 0*m + 0 + 28*m**2. What is the tens digit of l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 54, 75, 96, 117?\n\"Answer: 21*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 68 = 2*a, 4*u - 5*a - 50 = 5*u. Let h = 45 + u. Solve -h = 2*d - 2*q - q, -15 = -3*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2074050 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87392, -93674, -99956, -106238?\n\"Answer: -6282*x - 81110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23585323.1 + 20.\nAnswer: 23585343.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4883 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5681*l**3 - 179*l**2 - 2*l + 4 wrt l.\nAnswer: -34086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41418127 is divided by 34952.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**2 + 5. Let u(s) = -39*s**2 + 21. What is -21*p(l) + 5*u(l)?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 40 + -7 + -14 + -4\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 489*j - 1348*j + 710*j + 1 in the form z + k*j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 7*p - 281. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 10*l**2 + 11*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1 + 0.1. What is the smallest value in 5, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*z - 6 = -26, 4*b + z - 5 = 0. Suppose b = -16*f + 11*f + 145. Calculate the greatest common divisor of f and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(13*203\/377))\/(2\/14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*(o\/(o\/(o*o**(-2))*o))\/o*(o*o**4)\/o*o**(-6) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35140563?\nAnswer: 3, 223, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 24. What is the remainder when (-18)\/15*20\/n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 0.043473\nAnswer: 1.043352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 5 + 24\/(-4))\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -380238 and -365745?\nAnswer: 14493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 104?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11362853\/7 or 1623265?\nAnswer: 1623265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697155508 less than or equal to 1697155509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - s - 7 = 3*s, -4*j + 5*s + 9 = 0. Let n = 1637 + -1633. Calculate the greatest common factor of j and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9215037l to millilitres.\nAnswer: 921.5037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 - 2 + 2 + 2 + (-1 + 0 + 3)*(1 + 2 - 1) + 1 - 1 - 2)*(-205*t + 617*t + 26*t**2 - 309*t).\nAnswer: 78*t**2 + 309*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -358*o + 289*o + 373*o + 10032 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/3 + 42170*j**2 + 28820828*j\/3 = 0. Calculate j.\nAnswer: -227, 0, 63482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -1, -2, 3 in decreasing order.\nAnswer: 5, 3, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 6:44 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -389*j**2 + 1546*j**3 - 967*j**3 - 579*j**3 - 1 - 7884*j**6 + j wrt j.\nAnswer: -946080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(7819\/22340*5\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244 - -624?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 8. Let d(a) = -5*a + 9. Calculate 5*d(y) - 6*f(y).\nAnswer: 5*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 7, 0, -2 in ascending order.\nAnswer: -2, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = -5*w + 863. Suppose 0 = -4*v + 236 + w. What is the remainder when v is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.055 (b) -0.011 (c) -6.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252) + 4 - ((sqrt(252) - (sqrt(252) + 1)) + -2))**2.\nAnswer: 168*sqrt(7) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3292 - -3290. What is the nearest to 0.1 in 0.2, -3, 20, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 16. Let q(o) = 11*o - 6. Determine -q(d) - 6*x(d).\nAnswer: d - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120122010120 (base 3) to base 15.\nAnswer: 612a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 5. Let u be v(-8). What is the greatest common divisor of u and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/507871?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -q - 11. Solve -43 = -q*z - 63 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Let i = s + -3.7. Let n(d) = -d. Let l be n(-2). Which is the smallest value? (a) i (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3*sqrt(192)*-1 + sqrt(192))*-5 - 2*(-4 + (sqrt(192) - (sqrt(192) - sqrt(192)*2)))**2) + -4.\nAnswer: -1574 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 15. Suppose -r - 3*y - 8 = 0, -3 = 3*y + w. Suppose 2*k - r = b - 3*k, -5 = -b + 2*k. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 d when four letters picked without replacement from ttttttdtd?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231390 a multiple of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/80 + 211*c**4\/48 + 1378*c**3\/3 - 2809*c**2\/2 - 419*c - 2. Suppose u(r) = 0. Calculate r.\nAnswer: -106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 32. Let b be r(13). Let s = -41 - b. Suppose a + x - 16 = 0, -x - 62 = -s*a - 4*x. Calculate the remainder when 66 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -101 - aa?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 374 = 30*b - 20 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 63 = -1. Suppose -3*c = c - a. Let b(d) = -3 - d + 2*d + 1. Calculate b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 492079 and 0.1495.\nAnswer: 492079.1495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -3) + (6 - 1). Let u(t) = t**2 - 3*t + 3. Let p be u(h). Calculate the highest common factor of p and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2814635 is divided by 4895.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/21)*g)**(9\/10)\/((g\/(g**(-15)\/g))\/g*g**(-16)*g) assuming g is positive.\nAnswer: g**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**3*m + 83*l**2*m - 1030*l*m wrt l?\nAnswer: 30*l*m + 166*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1, 503, 590, 3 in ascending order.\nAnswer: -4, 0, 1, 3, 503, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose a*h - 33 - 29 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102252 - -102253. Let d(u) = -7*u**3 + 2*u + 1. Let l be d(-1). What is the nearest to l in -0.2, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 27. Let t(f) = -f**3 + f. Let n be t(-1). Let w be (z - (-15)\/6) + n. Is 1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 79607?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44389.36ml?\nAnswer: 44.38936","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lccy when four letters picked without replacement from {y: 8, c: 1, l: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 1:46 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 117\/(-20) - 4. Is v at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346787 a multiple of 463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -1 (b) 51 (c) 3\/2 (d) 0.05 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**2 + 2*j**2)*(3*j**2 + j**2 + 2*j - 2*j**2) + (-j + j**2 + j)*(8*j**2 - 3*j**2 + 17*j**2).\nAnswer: 30*j**4 + 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8672, 34561, 77704, 138101?\n\"Answer: 8627*p**2 + 8*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(104)\/sqrt(2) + sqrt(52))**2 - (sqrt(52) - sqrt(156)\/sqrt(3)*1).\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -110 + 9\/2*k**2 + 2\/3*k**3 - 151*k. Find the first derivative of x(z) wrt z.\nAnswer: 4*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 11, 2, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2613037 and 77.\nAnswer: 28743407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -45, -114, -221, -372, -573, -830?\n\"Answer: -k**3 - 10*k**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 + -222 - (-1 + 32)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8010107 - 29*g**2 - 8010107.\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46531 is divided by 803?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*c**2*j**4 - c**2*j + c*j**4 - 2*c*j**3 + 7*j**2 - 1 wrt j.\nAnswer: -792*c**2*j + 24*c*j - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 + -0.06. Let t = -0.048 - 21.352. Let h = t + 21.3. Which is the nearest to h? (a) -0.3 (b) 2\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(80) + 2 + sqrt(80) - (sqrt(5) + -3 + 0)) + 2*(sqrt(5) + sqrt(45) + sqrt(5) + 1 + 5))*-4.\nAnswer: -72*sqrt(5) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -60*u**2 - 2*u - 2. Let o(h) = 61*h**2 - 4*h - 3*h + 2*h + h + 3 + 7*h. Give -2*o(s) - 3*y(s).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 4*v + 85. Let q be n(16). Let p = q + 108. Let g = -1 + -2. Put p, g, 4 in increasing order.\nAnswer: g, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2378*o + 2399*o = 25893. Calculate the remainder when o is divided by 48.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3\/6 - 2*k. Let q(b) = 19 - 2*b - 19. What is q(r(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/9 + (-1)\/1. Let l(m) = -m**2 - 7*m + 7. Let o = 72 - 80. Let s be l(o). Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 + (-56)\/3)\/(4\/26640) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4455393*a**3 + 6282645?\nAnswer: -13366179*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - (253\/(-77))\/1. Solve -12 = f*m - 7*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 521*w + 2064. Give j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7597.3 - -7597. What is the fourth biggest value in z, -8\/7, -6, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(209) + 4*(sqrt(209)*2 - sqrt(209)))\/(1*sqrt(176)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25849951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 225*z - 2331. Calculate r(101).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -37 (b) 2\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 1 = -5*u, 2*u = -3*u - 3*c - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100 divided by 205?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18865066*q**2 - 83574*q + 26?\nAnswer: -37730132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*3*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 0*i**3 + i**3)*(2*i - 2 + 2) + 1665*i**4 + 0*i**2 + 7*i**2 - 1669*i**4 + 3*i**2 - 3*i**2 - 2*i**4.\nAnswer: -4*i**4 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*n**3 + 1539044*n + 182274?\nAnswer: -21*n**2 + 1539044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h**2 + 35*h**2 - 1 + 247*h**2 - 2.\nAnswer: 227*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354394.87 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, 1\/8, -12, -5986?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 - (-46)\/8. Suppose 4*g - 2*g = -c. Put -5, g, -2 in increasing order.\nAnswer: -5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 4:36 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4591 = -4599, 3*v = r - 17 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 + 112520231?\nAnswer: 112520100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - d + (-3 + 5 + 0)*(-3*d + 3*d + d))*(-d - 22*d + 4*d).\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -114390434.9 to the nearest 1000000.\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/174810660 and -97\/1020.\nAnswer: 174810660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/20)\/2*8\/(-24).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 254\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {t: 1, u: 2, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -17, -40, -81, -146, -241, -372?\n\"Answer: -a**3 - 4*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by 160?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -81 and -80 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:17 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(35)\/sqrt(7))**2 - (sqrt(5) + sqrt(35)\/(sqrt(42)\/sqrt(6) + sqrt(7))).\nAnswer: -3*sqrt(5)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Let p(j) = -j**3 + 2*j**2 + 3*j - 2. Let k be p(v). Let g = -3 - k. Calculate the remainder when 36 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 898646614 to the power of 1\/2, to the nearest integer?\nAnswer: 29977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*d**3*s + 7*d**3 + 3*d**2*s - d + 39*s wrt d?\nAnswer: 348*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/(3*3\/9). Is (z\/5)\/((-3)\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**5 - 94*o**4 - 123*o**3 - 6176134*o**2 wrt o?\nAnswer: 360*o**2 - 2256*o - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhsbchbcggggbgcbsggs. Give prob of sequence ch.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2934910 and 990?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 4. Let b be s(7). Suppose b*d = 4*q + 5*d - 30, 10 = 2*q + 2*d. Suppose -z + 19 = -q. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 37*w - 138. What is the remainder when 280 is divided by y(-8)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z**3 - 16*z**3 - 16*z**3 - 14*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + -2.5. Suppose -23 = -18*j + 31. Let m be 3\/j*((1 - 0) + -1). Which is the closest to 2? (a) -0.1 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*n + 28*n - 17*n)*(19*n + 6*n - 8*n).\nAnswer: -136*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 1. Let a = -5.2 + r. Let z = 22.628 + -23.628. What is the second smallest value in 2, -9, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 10*y)*(-380 - 390 - y + 778).\nAnswer: -11*y**2 + 88*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409108.\nAnswer: 2, 7, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkxxkxxkxrxmkxkmr. Give prob of sequence rxm.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 4*n + 16. Let h be w(3). Let t = h - -20. Solve -c = -4*c + t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -47 + 55 - (0 + 2). Solve 8 = -h*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -1\/12*s**5 + 0*s**4 + 2*s**2 + 0*s + s**3 + 0 - 1\/120*s**6. Let y be b(-5). What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 + m + 15. Give x(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 6*s**2 + 4*s + 6. Let g be p(-5). Suppose 4*q = -5*d - 12, -4*d = -0*q - 2*q - 6. Let h = g + q. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348165 greater than or equal to 348167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152440783 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: Is 33378767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 15) in base 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1536*c + 4 - 2 - 7831*c.\nAnswer: -6295*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*k - 71*k = 812. What is the remainder when 179 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(2 + -1)*1. Is y\/(0 + -4) - -46 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 7\/120*d**6 + d**2 + 0 + 11\/8*d**4 - 28*d + 11\/6*d**3 + 37\/80*d**5. Solve v(p) = 0 for p.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-1*(sqrt(396) + (sqrt(396) - (sqrt(396) + sqrt(396) + 2*sqrt(396)))))\/sqrt(11))\/(-1*sqrt(1452)*5))**2.\nAnswer: 9087\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + 6 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 6 - -37 - 34.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 247. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109, -384, -833, -1456?\n\"Answer: -87*k**2 - 14*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acwzpcwrazcr. Give prob of picking 1 p, 2 c, and 1 a.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -370 - -577. Find the second derivative of -7 + 4 + 1 - 1 + 26*z - c*z**3 + 0 wrt z.\nAnswer: -1242*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 281*p - 853*p + 277*p + 6*p**2 + 285*p + 6*p**2 in the form j + x*p**2 + t*p and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20 + -18)\/((-2)\/(-6)). Let v be 105\/(-45) + 2\/c. Sort -3, v, -6.\nAnswer: -6, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 + 40*m**4 - 135*m**3 - 550*m**2 + 2140*m - 1800.\nAnswer: 5*(m - 2)**3*(m + 5)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1152, -1.4, 0 in ascending order.\nAnswer: -1.4, 0, 1152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 56*h**3 - 132*h**2.\nAnswer: -4*h**2*(h - 11)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010212112100020 (base 3) in base 13?\nAnswer: 3525834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -3*(2*sqrt(66) + sqrt(66)))\/sqrt(600).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001101011010 + 0?\nAnswer: -100001101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 125 = -5*s, 2*s + 10 = -l + 25. Let t be ((-32)\/(-10))\/(1\/75). Suppose 120 = 5*f - t. What is the remainder when f is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16230, -1, -6 in descending order.\nAnswer: 16230, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -33. Suppose 3*y + 0 = 6, -4*c - 4*y = -a. Suppose 965 = -0*i - c*i. What is i rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1680732706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99244*r = 99258*r - 64 - 146 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 3*c. Let a be (-1 - 0) + -3 + 1. Let p(q) = -3*q**2 + 7*q. Let s(i) = a*p(i) + 7*y(i). Let o(j) = 2*j. Give o(s(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 + -153.99986364. Round n to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 160 and 161 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1447622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 5, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 5925943.\nAnswer: -195556119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*i, 0*l = 2*l + i - 9. Let u(x) = x**2 - 8*x - 5. Let t be u(9). Let g(o) = 92 + 6*o - 96 - t*o. Give g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:22 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -40, 10*d - 13*d + 1 - 27 = -2*l - 8*d for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 - 2 = 0. Calculate the smallest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8528*z + 264370. Give c(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5043 times 2.407?\nAnswer: -12138.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 23 - (-3 + (3 - (13 + -1 + 22))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x)**(2\/87))**5\/(((x\/x**(-4)*x*x)\/x**(2\/3))\/(x**(1\/2))**(-50)) assuming x is positive.\nAnswer: x**(-902\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1312?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - d - d + 145 - 143 + 2*d**3 to the form f*d**3 + t*d + w*d**2 + c and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 + 222*o**2 - 40068*o - 781488 = 0. Calculate o.\nAnswer: -201, -18, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q - 2 + q - 2*q**2)*(-2*q**2 - 3*q**2 + 4*q**2) + 77*q**2 - 77*q**2 - 11*q**4.\nAnswer: -9*q**4 + 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886910 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 8964\nAnswer: -1\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.9. Suppose 0 = -3*l + f - 13 - 1, -l - 2*f + 7 = 0. What is the second smallest value in 2, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/2 - 206*q**2 + 827*q\/2 - 207 = 0.\nAnswer: -414, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -294*k + 7938 - 3970 - 3969 to the form g + a*k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -93, -76, -41, 18, 107, 232?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.001, -2\/3, -65 in descending order.\nAnswer: -0.001, -2\/5, -2\/3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 6*o - 1. Let f be u(-6). Let g be 4*f*(-1 - -2). Let r = g - -7. Which is the third biggest value? (a) -1\/6 (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -4 (b) -3 (c) 6 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:22 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 831.6 - 832. Let v = -7 + 10. Which is the closest to 0? (a) -1\/2 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 3, b: 4}. Give prob of picking 2 q and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Suppose 3*s - 14 = -s + 2*g, -p*g = s - 7. Let x = s - 1. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/17062 and -59\/1347.\nAnswer: 51186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1430, 1423, 1404, 1373, 1330?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*m - 74507653 = -2036405 + 14001757. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = 4*o + 41 - 13, -5*x = 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + m**2 - 7*m + 2. Let f = 1 + 8. What is the remainder when g(3) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + h = -6, -2*c + 18 = 5*h + 2. Let l(o) = 2*o + 2. Let s(y) = 2*y + 3. Let z(p) = -6*l(p) + 4*s(p). Determine z(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29421236.\nAnswer: 2, 13, 565793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*c - 1009372 = -4*c, -2*l - 5*c - 2018757 = 0. Let w = 2609376 + l. Round w to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695791 is divided by 173945.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -62. What is the common denominator of ((-4)\/12)\/(4\/(-177)) and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -125*x**7\/42 + x**5\/10 + 115*x**4\/3 + 9*x - 1. Find the third derivative of m(i) wrt i.\nAnswer: -7500*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 9. What is y(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from zyyyyzzzzyyyyy.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {p: 3, l: 3, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 10, 4, -1 in decreasing order.\nAnswer: 23, 10, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y. Let c be (-2)\/8 - (-4)\/16. Let o = 2 - c. Let t(m) = -m - 3*m + 3*m + o*m. Determine k(t(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 8*j**2 - 1056*j + 10343. Give t(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 2*u**2 - u - 2. Let c be b(3). Let q be 2*(7 + -3)\/c. Let n = q + 14. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/4 - a**3\/3 + a**2 + 3*a + 1. Let f be 8\/(-3 + (-2 - -7)). Suppose f = -m + 2. Determine z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/6 + w**3\/6 + w**2 - 8*w - 17. Let r(q) be the second derivative of q**2\/2 + 2*q. Determine b(t) - r(t).\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-936))\/((-39)\/36)*156\/92.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-25))\/1*(-530)\/318.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**2 + 10*w**3 + 278*w**2 + 2453*w**2.\nAnswer: 10*w**3 + 2775*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 38482 - 12362 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(343))*-4.\nAnswer: -56*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -12, -28, -44?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l**2 + 210*l + 25. Calculate h(-7).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 44*l + 9. Let i be g(22). Suppose -2*j - i = -5*j + 5*o, 2*o + 9 = 3*j. Put -4, 0, 4, j in descending order.\nAnswer: 4, j, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 539, 1092, 1653, 2228, 2823, 3444, 4097, 4788?\nAnswer: 5523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*g - 77 - 17*g - 5*g - 17*g wrt g?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*m**4 + 33*m**2 - 2840*m - 3271*m**4 - 21*m**2 - 12*m**2 wrt m.\nAnswer: -38904*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40245 and -1?\nAnswer: -40245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0723 - 0.3723. Let r = 0.08 - 3.08. Let y = -1 - r. Which is the third biggest value? (a) -1 (b) y (c) g (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 20*s**2 - 35*s - 15. Determine k(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 19 + 9. Suppose -2*z + 5446 = n*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -64 + 5 + -39 - 0?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -544 + 549 + (0 - -4) + -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/40 + (2\/(-5))\/(-1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646 = -407*c + 373*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, 4, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2168 divided by -5\nAnswer: -2168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 832 - 802. What is the remainder when 483 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 684\/17 - 2069\/51. What is the closest to -0.1 in 7\/5, w, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + (2*sqrt(216) - sqrt(216)))*-6)\/((sqrt(132)*-1)\/sqrt(11)).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220*u + 48416 + 68704 = 0 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93129739.\nAnswer: 93129739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 15. Let a = 103 - s. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -594*d - 602*d + 1197*d. Let r(k) = -k + 7. Let w be r(10). Let s(g) = 3478 + 2*g - g**2 - 3478. What is w*s(b) + 7*j(b)?\nAnswer: 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-138)\/5 - 2*(-12)\/40. Let q be (3\/4)\/(n\/(-72)). Suppose -z = b + 2*b + 12, -3*b - 12 = q*z. Put 5, 4, -1, z in descending order.\nAnswer: 5, 4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 14899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 103. Let g = -86.7 + m. Sort -3, 3, g, 0 in increasing order.\nAnswer: -3, 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 15092042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11 + 13 + 118\/36 + -2 and -46\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -470*b**2*m**3 - 21*b**2*m**2 + b**2 - 33881*b*m**3 - b*m wrt b.\nAnswer: -940*m**3 - 42*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from cscccsccccccc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, p: 4, x: 11}. What is prob of picking 4 p?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160 - -201. Suppose -34 - x = -5*h. Solve -9*b - h = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7827 and 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36680 + -23766. What are the prime factors of h?\nAnswer: 2, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -1\/315*t**7 + 0 + 0*t**3 - 3*t**2 - 1\/36*t**4 + 0*t - 1\/30*t**5 - 1\/60*t**6. Factor w(x).\nAnswer: -2*x*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*o**3 - 352*o**3 + 754*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -561, 1, 1\/4, 0.2.\nAnswer: -561, -5, 0.2, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.36, -40, 8 in ascending order.\nAnswer: -40, -1.36, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -192. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9085 or -3551?\nAnswer: 9085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.4 + 9. What is the closest to m in -2\/7, -5\/3, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 5*a**4 + 2*a**4 - 10*a - a**2 + 2*a**4 - 3*a as o + i*a + w*a**4 + j*a**3 + z*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 498, -2.5.\nAnswer: -2.5, 0, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 3. Suppose 5*d - 4 = -4*a - 24, -d - 15 = 3*a. What is h(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 - 12 = 0. Let h be 3 + (-194)\/38 + w. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -3 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69\/14 - -38\/7. Let s = -0.06 - 1.94. Let r(y) = -y**2 - 6*y - 4. Let q be r(-4). Which is the closest to -1? (a) q (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-32)\/80\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {w: 1, y: 1, s: 2, n: 1, r: 1, z: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.371204 years to months.\nAnswer: 4.454448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 32822 = 6899. Let v = b + -1213. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 30\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11739 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 2. Let m be d(2). Let a = 7 - -8. Let r be (0\/(a\/3))\/(-3). Solve 0 = 2*x - 5*k + m, r*k = x - 2*k + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12393 + -12391. Factor -116\/11*z**w + 2*z**3 + 166\/11*z - 72\/11.\nAnswer: 2*(z - 1)**2*(11*z - 36)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23 - 13)*(-2 + (-12)\/(-5)). Suppose 0 = -m - c*g + 40, -3*m + 2*g + g = -105. Suppose -m*o + 34*o + 294 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(68)*-4 - (3 + sqrt(68) + -1))*4)**2.\nAnswer: -384*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -27) + -14 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171014 + -171025.00055. Let z = f + 11. Round z to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -419560 divided by -2?\nAnswer: 209780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.6 - -10.1. What is the nearest to -4 in m, -1\/6, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 205\/(-82)*16\/20. Solve 5*z + 23 = -y, v*y + 7 = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3950 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 192950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2774.\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/130 and -47\/21075?\nAnswer: 547950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3228 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -275*s**7 + 5053*s**4\/4 - 7*s - 536. What is the third derivative of g(l) wrt l?\nAnswer: -693000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7498 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -915, -1, -2 in decreasing order.\nAnswer: -1, -2, -4, -915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2553, 5555, 8563, 11577?\nAnswer: 14597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4093491.43 rounded to the nearest ten thousand?\nAnswer: 4090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2 - 2*v - 2. Let j be w(-5). Suppose 10 = 4*g - 2. Calculate the greatest common divisor of g and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4517 - -4517.5. Which is the biggest value? (a) 0.1 (b) 1\/6 (c) -0.61 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0836 and 1285192?\nAnswer: 1285191.9164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, m: 7, o: 2, n: 2, t: 4, x: 1}. Give prob of picking 1 g, 1 m, and 2 t.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 2046?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - (-61)\/7. Let r = 2 + z. Suppose -3 - r = -2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00214948416 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36*(-42)\/3402)\/(4*(75\/(-18))\/1).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(-21))\/(15\/15*(-2)\/48). Is -13 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*x**3 + 144*x**3 - 107*x**4)*(-2 + 4 + 4) + 2*x**4 - x**4 + x**4 + (0*x + x + 0*x)*(-x**3 - x + x).\nAnswer: -641*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(((t*t*t*t\/(t\/(t\/(t\/((t**(-2\/23)\/t)\/t))))*t)\/t)\/t)*t)*t)**(-20\/9)*(t**(3\/2))**(2\/61) assuming t is positive.\nAnswer: t**(3061\/12627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 32 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -31. Let a = v + -5. Let p = a + 0.031. Round p to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 2*y + 67, -1735*y + 1737*y - 24 = -2*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 479 - 480. What is the nearest to 4 in -1\/3, -0.4, -5, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7bac6 - -45?\nAnswer: -7ba81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*q**2\/13 - 1112*q\/13 + 192 = 0. What is q?\nAnswer: 4, 312\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 0.3. Let n = 10243\/2 + -153643\/30. Which is the closest to -4? (a) z (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxx when three letters picked without replacement from axaxxhhaxxaxxxxh?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.341967 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 6:07 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -633553, -1267099, -1900649, -2534203, -3167761?\n\"Answer: -2*o**2 - 633540*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 12:13 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89356 - 89278. Let c = 21 - -55. Is c greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204457909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2004 and 107964498?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 427125 and 19125.\nAnswer: 1281375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 229*i**2 + 1837*i - 369606. Give y(230).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutxttttctttt. Give prob of sequence cxu.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:12 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6230377*g**3*m**3 + 7*g**3*m**2 - 2*g**2*m**2 - 17*g*m**2 + 138*g + 2*m**6 - 4*m**2 + 2*m wrt m.\nAnswer: -37382262*g**3 + 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 927 and 18875059?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2270\/273 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 13*i**2 - 13*i + 14. What is q(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r + 4. Determine q(-11).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*o = o + 8, 5*n - 2*o = 28. Suppose -x - 5*r - 22 = 0, n*x + 5*r = 2*x - 19. Sort -4, x, -9.\nAnswer: -9, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/400*4*4*-17*(-48)\/408.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 616?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2)*4\/(-3). What is the third derivative of -4*u**3 + 10*u**3 - 11*u**b - 6*u**5 - 6*u**3 wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1715, -1, 5, 5\/3, -44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 42*j + 3*t - 52, 107*j - 112*j - 17*t + 9*t = -7*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3501*w + 6. Let f be 1*6 + 1\/(-1). Suppose j - 2*j = -f*h - 28, 34 = -4*h - 5*j. Let d be z(h). What is d rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Let i be g(6). What is the common denominator of ((-2)\/8)\/(i\/(-1134)) and ((-141)\/(-4))\/((-9)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**2)**(-2\/5)*w*w**(-1\/3)*w**(-2\/5)*w**1*w*w**(-2\/11) assuming w is positive.\nAnswer: w**(311\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-774)\/2193*(-136)\/352?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1569, -2681, -3791, -4899?\nAnswer: -6005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 171817*i**2 + 52*i + 30446943?\nAnswer: 343634*i + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1263*f + 10098. Give j(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*l - 275 = -c, 3*l = -c + 59. Let m = c - 197\/4. Calculate the common denominator of m and -30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-51591\nAnswer: 5159.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 13*y + 6*y + 9*y + 1. Let o be p(-1). Sort 4, o, -4.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*n - 124 = 0, -12*n + 42 = -6*n. What is the lowest common multiple of z and 348?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*f + 2*p - 0, 2*f = 5*p - 15. Solve z + 17 = -3*g, 4 + 1 = 5*g - f*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) + 47\/(-2). Let j = l + 57\/2. Calculate the common denominator of j and 43\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 - -106.1. Put t, 17\/6, -5 in decreasing order.\nAnswer: 17\/6, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 54\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -4 in increasing order.\nAnswer: -4, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 754\/3 (b) -1 (c) 2\/9 (d) 7\/6 (e) 22 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16534268 or -16534266?\nAnswer: -16534266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*i + 157*i + 76321 = -296*i + 2093 for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18791, 38460, 58129?\n\"Answer: 19669*y - 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h - 42 = -68*h. Calculate the least common multiple of 8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from pbbbbbbbbbpbbbpb.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17*18\/(-2142)*-85*(-14)\/(-35)\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -16189, 6513?\nAnswer: 6513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*u - 97*u + 5*u)*(2 + 3 - 7)*(u - u + 2*u) to the form i*u + o*u**2 + y and give o.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 95*t. Let g(q) = -10*q. Determine g(p(o)).\nAnswer: -950*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5)*-2) + sqrt(11) + (-1*sqrt(1584))**2.\nAnswer: sqrt(11)\/2 + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*n + 4 = 1, 5*s + 4*n - 27 = 0. Let r = s + -11. Let k(q) = -4*q - 5. Let x(c) = -97 + 0*c + c + 103 - c + 4*c. Calculate r*x(g) - 5*k(g).\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 - 64*z + 6*z**2 + 139*z - 64*z.\nAnswer: -13*z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-14))\/(3\/105). Let k be b\/9 - 1\/3. Let x(y) = k*y - 2 - 1 - 2*y + 0*y. Give x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-132))\/((-3)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:06 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 16*x + 8. Suppose -b + 51 - 58 = 0. What is d(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11531, -23039, -34543, -46043, -57539?\nAnswer: -69031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/1*57\/(31977\/510)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 - 110*f**2 + 1577*f - 2706 = 0. Calculate f.\nAnswer: -123, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938098117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 138 + 1554. Let k be y\/45 + 12\/(-90). Solve 2*o + k*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s - 8 = 0. Suppose 3*h - s = 2. Suppose y = h*y. Is y at most 1\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 10:04 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43065, -43137, -43221, -43323, -43449, -43605, -43797?\n\"Answer: -l**3 - 65*l - 42999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -5588.6 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 1402018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 29 (b) 1.2 (c) 0.1 (d) 2 (e) -0.4 (f) 167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359368, -359281, -359194, -359107?\nAnswer: -359020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12))\/((-3)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12.2. Let z = r + -1.68. Let a = z + -0.52. Which is smaller: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43005.2 rounded to the nearest one hundred?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 17 = 3*s, 5*x - 5*s + 2270 = 2245 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6*(-3)\/(-5). Let a = -93569 + 93573. What is the smallest value in 0.11, i, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 99 = 3*n, -517*n + 521*n + 361 = 7*l for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103811406 to the power of 1\/2, to the nearest integer?\nAnswer: 10189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*p + 56 = 95*p. Suppose y - 4*r = -y - p, 3*y + r = 23. Suppose k = -2*k + 21. Solve 4*j = -2*u + k*u - 12, -2*u - y = 2*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - p + 4. Let f be s(0). Let m(a) = 69 + 40*a - f*a - 70 - 8*a. Let t be m(1). What is the greatest common divisor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b + 2. Let g(f) = 5*f + 1. Let d(t) = 2*a(t) - 7*g(t). Suppose -17 = 4*x - 1. What are the prime factors of d(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3158122 + -31517961\/10. Let t = f + -6332. What is the common denominator of t and -54\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -359*z**7\/105 + 280*z**3\/3 + 36*z**2 - 20. Differentiate c(m) with respect to m.\nAnswer: -2872*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24165 + 24166.7516. Round f to 2 decimal places.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1455526690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.35 rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-192)\/(-47) - (2 - 6). Let x = -146\/611 - t. What is the third biggest value in -5, x, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -95 - 109\/2*h**2 + 0*h. Let t(b) = 2*b. Give t(k(j)).\nAnswer: -218*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -32*a - 2558. Let l be m(-80). Solve -y - l*y + 3*q = 0, 0 = 2*y + 5*q - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 = 0, 3*j - 77 = -v + 66. Let b be 7\/v - (-2)\/10. What is the fourth smallest value in 12, -1\/6, 0, b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*s = 19*s + 106*s - 4693 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10*c + 14*c - 925 = 0. Calculate the remainder when c is divided by 173.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*d + 318*d - 102*d - 101*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:33 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1063*b + 1061*b - 6 = 0. Suppose -y - 9*d = -4*d, -4*y + 5*d = 0. Sort 3, y, -2, b in descending order.\nAnswer: 3, y, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 34, -4\/3, -0.04, 77\/3, -0.119, -5?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 10) to base 16\nAnswer: -d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10812 and 565?\nAnswer: 11377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46.5 and -8615.4.\nAnswer: -8568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -249*f + 305*f + 761*f as r*f + z and give r.\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 1. Let i be a(3). Let h = 2.06 - 0.06. Let l = -4333 + 38998\/9. What is the closest to i in -0.2, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-43)\/2*(-2 + 4). Let c = 79 + l. Is (-4)\/((-2)\/c*2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.9256626 - -0.898508\nAnswer: -6.0271546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 15*p. Sort -3, 24, p in decreasing order.\nAnswer: 24, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-15))\/(48\/2790) and 75\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030791133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 881 = 10*l - 1459. Suppose 6*w - 660 = -l. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1317\nAnswer: 3951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*p**2*s**4 + 107*p**2 - 2*p*s**4 wrt s?\nAnswer: 172*p**2*s**3 - 8*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10355 + 174*i + 2050 + 3325 - 168*i.\nAnswer: 6*i + 15730","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 4. Let g(y) = -y + 1. Determine -5*g(q) - i(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25335, 50672, 76009?\n\"Answer: 25337*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -2*z + 106, -3*q + 1609 = -2*z + 1704 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-1))\/1)\/((-49)\/(4655\/(-3610)))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197\/44 - -162\/11. Calculate the common denominator of 111\/20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*v - 32 - 6, 4*u - 32 = 2*v. Let z(p) = 0*p**2 - 6*p**2 - 7*p**2 - u*p**2 + 8*p**2. Let q(h) = h. Determine q(z(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.58 + -3.42. Which is the closest to -2\/13? (a) -0.08 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r - 1. Let p(k) = -18*k + 4. What is 7*o(m) + 2*p(m)?\nAnswer: 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*x**5 - 622973*l*x**3 + 3133669*l*x**2 wrt x.\nAnswer: -60*l*x**2 - 3737838*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let n be -4*(-2)\/6 + (-140)\/84. Which is the nearest to k? (a) -1\/2 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*v - 15 = 0, -p = 2*p + v + 3. Let y = 0.022 - -2.908. Let c = 0.07 + y. What is the third smallest value in 1\/5, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2485202 is divided by 1744.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -93645, -102391, -116967, -137373, -163609, -195675?\n\"Answer: -2915*x**2 - x - 90729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 1 + 23. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/(-10)*(-4)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1623308\/3393 - 14475\/29. Let d = 176\/9 + q. What is the common denominator of (-1212)\/132 + 9 - 329\/(-55) and d?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 1. Let j be (-20 - p)*(-4)\/3. Suppose 4*r = 16 + j. What is the lowest common multiple of r and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 28*c - 25*c. Suppose m = 4*h - 33, h + 2*m = -c*m + 21. What is the remainder when 17 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 + 5456522?\nAnswer: 5456606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62.85 - -62.85. What is the biggest value in p, -2\/15, -500?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -27. Suppose 5*p - 39 - i = 0. Suppose 33*t = 31*t + p. Solve 0*m = t*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5894140.603 rounded to the nearest 1000?\nAnswer: -5894000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3258, -6509, -9758, -13005, -16250, -19493, -22734?\nAnswer: -25973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13687.8002121 - -0.2\nAnswer: -13687.6002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*((-171)\/(-12))\/(-19))\/((-9)\/(162\/(-9))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 114 = 43*h. Let g be 2\/3 - (970\/(-3))\/10. Put g, 0, h in descending order.\nAnswer: g, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 9 + 5*b**2 - 5*b - b**3 + b**2 - 3*b**2. What is m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 7:24 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4 - 2936*n**3 - 538756*n**2 = 0.\nAnswer: -367, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 531 + -11531?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)*z*z**(-1\/30))**22 assuming z is positive.\nAnswer: z**(-2321\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31227552 and 16149?\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 502 + 142 = 38*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4188225641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. What is the third biggest value in 5, -4, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5180 or -5142?\nAnswer: -5180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 211222727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(2\/3)*-28. Let f = 63 - b. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-4)\/4) - 26. Let f = -26 - g. Solve 3*t + 9 = 0, -3*j + f*t - t = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, 22\/7, -58 in descending order.\nAnswer: 22\/7, 0.26, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*x**3 - 177*x**3 - 257*x**3 - 258*x**3 + 885*x**3.\nAnswer: -91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 5, 635 in decreasing order.\nAnswer: 635, 5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -579*0.4.\nAnswer: -231.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1351, 9691, 25031, 47377, 76735, 113111, 156511?\n\"Answer: i**3 + 3494*i**2 - 2149*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6601.\nAnswer: 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167*f**3 + 13*f**2 + f wrt f.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451971.\nAnswer: 3, 1150657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-2\/5)))\/(i*i*i\/i**(-5\/2)*i)*(((i\/((i*(i*i**(-6))\/i)\/i))\/i)\/i*i)**(-6\/25) assuming i is positive.\nAnswer: i**(-377\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -27. Let a(j) = -b*j - 5*j + 8*j - j. Calculate a(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/12))\/z**(2\/21) assuming z is positive.\nAnswer: z**(83\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -1\/2*m**4 - 26 - m - 1\/10*m**5 + 3*m**3 - 5*m**2. Let i(c) be the first derivative of w(c). Factor i(r).\nAnswer: -2*(r - 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38900 (base 15) to base 6.\nAnswer: 3513300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -2. Let f(t) = -3*t**2 + 6 + 3*t**2 - t**2 - 7 - n*t. Let c be f(-6). What is the highest common divisor of c and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/60 + 4*y**3\/3 + 20*y**2. Let v(n) be the first derivative of l(n). Let z(m) = 2*m. What is v(z(r))?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 6\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:42 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 7. Let r(j) = 965*j + 2076. Let d(y) = -2*f(y) + r(y). What is the derivative of d(w) wrt w?\nAnswer: 961","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20774.5 - 20775. Which is the second smallest value? (a) 2\/5 (b) h (c) -476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 76*r - 351. Is p(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -393\/2 (b) -3 (c) 5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3 + sqrt(20))**2 + (2*sqrt(500))**2.\nAnswer: -18*sqrt(5) + 2054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/8 + 7*c**5\/15 + 18*c**2. Find the third derivative of m(z) wrt z.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5494, 11241, 17260, 23557, 30138?\n\"Answer: f**3 + 130*f**2 + 5350*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d + 6 = 43*d. Let t(q) = -8*q - 4. Let j(i) = -i + 1. What is d*t(f) + 4*j(f)?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 538248582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*c - 1108 + 923. Let i(r) = 4*r**2 + r. Let m be i(1). Suppose 9 + 1 = m*p. Sort c, 3, p.\nAnswer: p, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 36*m**3 + 8*m**3 + 70*m - 2 - 43*m**3. Let y(v) = 9*v**2 - 2. Give j(y(x)).\nAnswer: 54*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35550 or 35549?\nAnswer: 35550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/8 - 5*n**2. Let z(b) = -2*b. Calculate z(m(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -545263 (base 10) in base 2?\nAnswer: -10000101000111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5152 - 72069\/14. Calculate the common denominator of (-1)\/1 + (-43)\/6 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t**5)\/t*t))\/t)\/((t*(t**(-2)*t)\/t)\/t*t*t)*(t*t**(2\/5))**(7\/6) assuming t is positive.\nAnswer: t**(-161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430646.5ml in litres?\nAnswer: 430.6465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74964023, -74964028, -74964033, -74964038, -74964043, -74964048?\nAnswer: -74964053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 11 + 21 = 0. Suppose f*y = 1027 + 5271. Let m = y - 1888. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -404*o**2. Let l(c) be the third derivative of c**5\/15 - 411*c**2. Give l(p(f)).\nAnswer: 652864*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphdxdpdhh. Give prob of picking 1 p and 1 h.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 340 - 325. Calculate the remainder when 252 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15 - 7 - 168*i + 28 + 165*i**2 + 30*i**3 + 45*i**3 = 0. Calculate i.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*m = -146, -4*t = 2*m - 5*m - 89. What is the least common multiple of t and 2686?\nAnswer: 26860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/3 - -2)*15. Let l be -1 + z\/2 + -1. Let a = 77 + -73. Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 52, -69, -190, -311, -432?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b = -2*v + 6, 6 = -2*b + 2*v. Suppose 5*z = -4*t + 49, b = z - t - t - 7. What is the least common multiple of z and (-2)\/(-1) - (-5 - -5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojjj when four letters picked without replacement from {r: 3, j: 3, o: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.46 - -0.86. Let l = -417 + 418. Put 5, 0.3, l, f in increasing order.\nAnswer: 0.3, f, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}