diff --git "a/data/dm_maths/full_data/10003_11255.jsonl" "b/data/dm_maths/full_data/10003_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10003_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x = -87.26 - -88. Let w = x + -0.69. What is the nearest to -2\/5 in w, 0.3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 + 3*n + 5. Let m(l) = -5*l**2 + 4*l + 6. Suppose 3*y + 24 = 2*c, -33*y - 69 = c - 21*y. Determine c*h(p) - 2*m(p).\nAnswer: -2*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 0.2 (c) -1\/3 (d) -27 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9261 and 56.\nAnswer: 74088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 5*f**2 - 2*f. Let z(t) = t**3 + 9*t**2 - 14*t + 4. Let m be z(-10). Suppose 11*b = -0*b - m. What is o(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5 - 0.067195811045?\nAnswer: -11.567195811045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*l - 6 = -4*l, -2*b = -2*l + 8. Let a be (b - -3) + (1 - 1). Suppose 5*z - 25 = -a*w, -4*z + 4*w - 11 = -z. Solve 0 = y + z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a + 1\/120*a**6 + 0 - a**3 - 1\/12*a**5 + 9*a**2 + 1\/6*a**4. Determine m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1208 - 635. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-15))\/((7\/(-7))\/((-23)\/(-46)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6385599 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40575.089336944 + 2.290096944. Let u = c - -40572. Let h = u + 0.8. What is h rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6638 is divided by 129.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 5*z - 14*z + (0*z + 4*z - 2*z)*(-7 - 3 + 2)*(0 - 1 + 0) in the form y + b*z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*n + 1917927 + 4566565. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 922?\nAnswer: -40\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + 13\/2. Sort h, -1, 0 in decreasing order.\nAnswer: h, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -318 divided by -620\nAnswer: 159\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 142411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, -131, 11, 3 in descending order.\nAnswer: 11, 4, 3, 0, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = 6*l. Suppose -q = 3, 3*u - 19 = l*q - 7. Let o = -96\/7 + 501\/35. Which is the third smallest value? (a) o (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*4\/8*(-5)\/5. Let y be (-377)\/(-125) - (3 + 0). Is y > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/13)\/y**(-2\/11) assuming y is positive.\nAnswer: y**(-18\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/2 + 319*r**2\/2 + 635*r\/2 + 317\/2 = 0.\nAnswer: -317, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8715520 and 762608.\nAnswer: 61008640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2421 (b) -2\/13 (c) 7\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.418314kg?\nAnswer: 0.000418314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(-1\/5)*t))**5\/(t\/t**(-1)*t)**(-1\/41) assuming t is positive.\nAnswer: t**(-366\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 1397\/(-281) - 3. Let j = 24511\/2248 + l. What is the common denominator of -3\/5 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (200\/(-56) - (-8)\/14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22090980 by -4418196.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**2 + 1\/60*l**5 + 1 + 1\/3*l**3 + 0*l + 0*l**4. Let d(u) be the third derivative of k(u). Let i(o) = -2*o. Give i(d(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1573849101.\nAnswer: 3, 11, 487, 97931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 874799037 a multiple of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*f - 769*f - 754*f + 1737*f.\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6 = 0, -2*h + q + 26 = 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**4\/12 - 7*t**3\/6 - 3*t**2 + t. Let f(u) = -u**3 + 11*u**2 + 12*u - 4. Let x be f(12). Calculate p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -101.3. Let y = -0.3 - d. What is the third biggest value in y, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**3 - 9*h**3 + 22*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95\/6 + 43\/3. What is the closest to -2\/7 in o, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62626784 is divided by 1139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 5*s - 3*s + (-s + 8 + 5 - 11)*(-6 + 2 - 2).\nAnswer: 10*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25577 is divided by 67?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6 + 1.6. Which is the closest to -2\/11? (a) -3\/4 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/6 + 96*h**2 + 383*h\/2 + 287\/3 = 0. Calculate h.\nAnswer: -574, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(168)\/(sqrt(8)\/sqrt(2)))\/(sqrt(24)\/(sqrt(20)\/sqrt(5))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*u + 4 - 6 + 2*u.\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 11*r**4\/54 + 89*r**3\/27 - 10*r**2 - 3*r + 268. Factor t(o).\nAnswer: 2*(o + 9)*(11*o - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 5\/6*o**3 - 2*o**2 + 0 + 24*o - 1\/12*o**4. Determine h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 24*m**2 - 58*m - 36.\nAnswer: -2*(m + 1)*(m + 2)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.23256 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*r - l, 14 = -3*r - 2*l + 6. Is (-59)\/((r\/21)\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppqsssvvpppvvpppp. What is prob of sequence svp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 11010110001100000?\nAnswer: -11010110001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7206?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**46\/((m\/(m*m*m*m**(-1\/3)*m))\/m*m*m**(-4)) assuming m is positive.\nAnswer: m**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 4272?\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*w + 8294 = -387*w. Suppose 3 = 5*k - 7. What is the highest common factor of k and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*g = -j, 0 = j - 2*g - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - j + 6831, -4*w - 10*j = -11*j + 5464. Suppose 1827 + 779 = -3*h - c, -2*h + 2*c = 1732. Let y = h - w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26185*c**2 + 294*c + 12354*c**2 - 294*c.\nAnswer: 38539*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/12 - k**2. Let h(w) be the second derivative of -1\/6*w**4 + 0*w**2 + 23*w + 0 + 0*w**3. Calculate h(o(l)).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 - 0.21. Let u = -114.88 + 117.88. Which is the third biggest value? (a) u (b) 9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 44 = 35. Suppose -5*l - q + 417 = 0, -6*q + q - 239 = -w*l. Let h = l + -31. Calculate the remainder when h is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11936 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 13*k - 52 = -4*a + 11*k, 9*k - 129 = -120 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*t + 23 - 60 = 0, -3*d - 46 = -5*t. Let c = 35 + d. Let r = -8 + c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2. Let b(o) = 2*o**2 - 6*o - 1. Let q be -15 + (-112)\/(-7) - 2. What is q*b(y) - 4*x(y)?\nAnswer: 2*y**2 + 6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 66313.\nAnswer: -1\/66313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98 + 249*i - 12*i**2 + 15*i**2 - 47 - 51.\nAnswer: 3*i*(i + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 - 169. What are the prime factors of (2\/d)\/(2\/20) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (3 - -1)) + -15. Let u be -4 - x\/(-3 + 4). Let d(j) = 5*j - u*j - 5*j - 10*j. Let v(h) = -3*h. Give v(d(r)).\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/4*13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1356*v**3 + 976*v**3 - 3318*v**3.\nAnswer: -986*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 15. Suppose 0 = -4*i + u*i + 17. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/64 of a milligram?\nAnswer: 46875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.52 - -5.22. What is the closest to 5\/4 in s, -0.2, 2\/13, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*z + 11 + 779, 4*c = -8. Let b = -144 - z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-91)\/(-7))\/((-3)\/15). Is (-78)\/t*70\/3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 17, j: 3}. Give prob of sequence ja.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -1834351?\nAnswer: 1834351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 4 = 0. Let j = 5 - w. Solve 2*h - j*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/597, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237019856 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:37 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*m + 5*q, 2*q = 3*m + 1070 - 1084. Sort -1, 25, m, 1, 0 in increasing order.\nAnswer: -1, 0, 1, m, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 z when three letters picked without replacement from tttjzzbt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7125 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 20*w + 3*d, -125 = 18*w + 5*d + 125 - 268 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 799979 + 475316 = 0. Let g = w - -615059. What is g rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1658 + 14954\/9. What is the common denominator of f and 97\/195?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/87768 and 37\/1587.\nAnswer: 2018664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 24. Suppose 2*r + t*k = -4, -2*r = -9*k + 13*k + 2. Let m(z) = 3*z + 7. Give m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(36)\/(sqrt(72)\/(sqrt(24)\/sqrt(4))) + 3)**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 9*c - 2. Let d(v) = -4*v**2 - 8*v - 2. Give -4*d(h) + 3*s(h).\nAnswer: h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + (-11 - 0 - -5 - (-14 + -10 + 13)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(130)*3 - sqrt(130)*1*-2)\/((sqrt(70)\/sqrt(112) - (sqrt(10) - sqrt(60)\/(sqrt(6) + sqrt(30)\/sqrt(5))))*-2))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -121133.\nAnswer: -121135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242.3 - 856.34. What is v rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 153?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*h + 11 = -5, -5*r + 20 = -4*h. Let i be ((0 - 0)\/(-4))\/3. Suppose -z + r - 6 = i. Let o(g) = -2*g + 1. Determine o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.05, 233 in increasing order.\nAnswer: -3, -0.05, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640 + 637. Let j be (6 + 10\/(-2))\/(i\/(-21)). Calculate the highest common divisor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x - 1\/2*x**2 - 1\/6*x**3 + 0 + 1\/12*x**4. Suppose -4*j = -5*j - 2*v + 2, 4*j + 4*v = 4. Determine h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-17)*z**(-29) assuming z is positive.\nAnswer: z**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -144960, -289642, -434324, -579006?\n\"Answer: -144682*l - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 8*v - 273. Suppose 3*x - 2*d - 3 - 14 = 0, -5*d - v = -2*x. Calculate the lowest common multiple of 30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/7)\/(u*u**5*u)*u**(-2\/7)*u**(1\/2)\/u assuming u is positive.\nAnswer: u**(-103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*n**3 - 26*n wrt n.\nAnswer: 1008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -129, -274, -409, -528, -625, -694, -729, -724?\n\"Answer: o**3 - o**2 - 149*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 6. Let u(m) be the second derivative of -1 - 57*m + 3\/2*m**2 + 1\/6*m**3. Give 3*k(z) + 5*u(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and -69.\nAnswer: 3381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -f + 58, 5*a - 68 + 43 = 0. Calculate the remainder when 477 is divided by f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(12852\/1974)*-6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-1 - 1\/(-5)). Suppose x = -j + 5*j. Which is the second biggest value? (a) -1 (b) j (c) -0.2 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0282473 micrograms?\nAnswer: 0.0000282473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 161*v**2 - 1014*v - 1866. Give c(-167).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b + 43*b - 3*h + 458 = 0, -b + 2*h = -120. Let g = b - 111. Solve 4*s = -g*j - 5, s - j = -5*j - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = a - 3*v + 2, v = 3*a - 10. What is the third derivative of -5*m**2 + 8*m**a - 10*m**5 - 4*m**5 wrt m?\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 0 + 0 + (x + 1 - 1)*(3*x - 4*x + 3*x) - 2*x**2 - 2*x**2 + 6*x**2 - 65*x**2 + 55*x**2 + 63*x**2 in the form n*x + f + t*x**2 and give t.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23244 divided by -1?\nAnswer: -23244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 147. Suppose 0 = 5*f + 5, 3*l - 4*l + 5*f = -a. Calculate the remainder when l is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-58 - (-38 - -29)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 216008?\nAnswer: 648024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwwiiiiqoiww. What is prob of sequence qo?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -10*s - 20. Suppose 0*z + 17 = 3*y - 5*z, 0 = -y - s*z. Solve y*k = 5 + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32536*x = -32507*x - 116 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/(-66))\/((-46)\/207)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-37 + 31 - (16 + -1))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 1:08 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/10 - 13\/70. Let c = -0.5 + 0.9. What is the second biggest value in -2, k, c, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3731, 3733, 3735?\nAnswer: 3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374 divided by -22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1713 and 3594 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 + 778*x + 1 - x**3 - 1539*x + 773*x to l*x + u + h*x**4 + q*x**2 + v*x**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299 + 483. Let d = -199.9 + f. Let l = -16 - d. Put 3, 2\/3, l in increasing order.\nAnswer: l, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f + 1. Let i(k) = -2*k**3 + 12*k**2 + 38*k + 14. Determine -12*c(n) + i(n).\nAnswer: -2*n**3 - 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -67, -152, -271, -424, -611?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**2 - 43*f + 297. List the prime factors of h(6).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12052874+211\nAnswer: -12052663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6305069, 12610076, 18915083, 25220090, 31525097, 37830104?\n\"Answer: 6305007*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 2*a**3 - 5*a**2\/2 - 4*a + 2. Is m(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 + 4*r**2 + 5*r**2 - 2*r**2 as n*r + j*r**2 + q and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-6*-3*sqrt(68)*1)\/(sqrt(128)\/sqrt(8) + sqrt(16) + sqrt(576)*-3))**2.\nAnswer: 1377\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2232*-1.8.\nAnswer: -4017.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*372\/62.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10011130*a**5 + 33*a - 39315?\nAnswer: 200222600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.441031 millilitres?\nAnswer: 0.006441031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-85)\/(-10))*(-1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = 0, -4*x + x = -5*z + 393. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -172 in decreasing order.\nAnswer: 3, -4, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -84 + (-2 + 4 - 0). Suppose -290 + 55 = 5*s. Let v = s - w. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*x**2 + 453*x**2 + 211*x**2.\nAnswer: 931*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(6\/5)*y)\/y*y**(-21))**(1\/10) assuming y is positive.\nAnswer: y**(-53\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 29*o - 31*o - 32 + (0 - 6 + 2)*(2 - 2 + 2*o).\nAnswer: -10*o - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 1:28 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 2. Let t(l) = l**3 - l**2 + l + 7. Calculate the smallest common multiple of t(b) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3696 divided by -132?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6828557 or 6828556?\nAnswer: 6828556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3163 + -3161. Let h(f) be the first derivative of -f**i - 4 - 1\/6*f**3 + 1\/8*f**4 + 2*f. Factor h(j).\nAnswer: (j - 2)*(j - 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 1, e: 1}. Give prob of sequence je.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z - 1. Let m be l(1). Let h = -9 + m. Solve h*f + 4 = -11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 1\/2. Suppose q = -y - 0*y, -3*y + 10 = v. Suppose 5*d - 9 = 3*w + 187, -3*d = -5*w - 124. What is the remainder when d is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.03 - 0.03. Let i = 0.75 - 0.1. Let m = 0.15 - i. Which is the biggest value? (a) s (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s - 20*s - 5*s + 5*s to r + q*s and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 416 or 415?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260312563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 - z. Let k be m(1). Let x be -1*(4 + -5 + 1). Calculate the least common multiple of 12 and x - (-6)\/2*k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/12887 (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17077944 and 624?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:19 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1002 = 2817. Find the second derivative of 101*p**2 - r - 45*p + 1814 + 2*p**2 wrt p.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 5*q**2 + 3*q + 2. Let p be u(-6). Let n(i) = -176*i**3 + p*i - 13 + 6*i**2 - 8*i - 139*i**3. Let y be n(-9). Round y to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 8}. Give prob of sequence hzzh.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(3\/(-19)))\/(1\/6). Solve 25*f - 87 - o = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 5*u - 4, -2*w - 4*u + 22 = 0. Suppose 4 = -t + w. Let p be -1 + 1 + t\/((-12)\/(-28)). Solve -3 + p = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415 - 415.5. Let b be ((-18)\/8)\/(9\/(-6)). What is the nearest to -0.2 in z, 2, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuhmgmueue. Give prob of picking 3 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250344 and 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30551*u**4 - 364*u**2 wrt u.\nAnswer: -733224*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 + 2 + 2*t**2 + 14*t + 16*t - 3*t**4 - 28*t in the form l + o*t**3 + m*t + f*t**4 + w*t**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315 is divided by 116.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -8.345.\nAnswer: -8.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 + 5. Let r be w(-6). Find the second derivative of -7*k**5 - 5*k**5 + 21*k**r - 8*k wrt k.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -547 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shvhhqhdvhqvvhsqdh. What is prob of picking 2 s and 1 v?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 591.395 to the nearest 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29468606 at least as big as 29468607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-3) - 0)\/(-2). Let a be ((-90)\/240)\/(6\/(-8)). Sort a, x, -2 in ascending order.\nAnswer: -2, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/13 (b) 5 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = 4*k, 7*v - 3*k - 15 = 4*v. Solve v = -0*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 2988, 6366, 11092, 17166, 24588?\nAnswer: 33358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -1\/20*z**5 - 1\/3*z**3 - 2*z - 5\/12*z**4 + 0 + 3*z**2. What is the units digit of b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*k - 174 = 30*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n + 2*b = -23, -3*n + 2*b - 7 = 0. Let l(i) = -i - 1. Let v(u) = u. What is n*v(z) - 2*l(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -557\/2 - -280. Let b(i) be the first derivative of -5 - 3*i - 1\/3*i**3 - n*i**2. Give b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + 4 + 2 + 9 + 1 + (315 - 327).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -923.65 - -831.5154. Let j = -92 - g. Let y = j - 0.0462. What is y rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723b (base 12) to base 14.\nAnswer: 475d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vssvenevvvsnvvvvf?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2441 - 1589. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1125 = -4*t - 5*m + 243, 0 = 3*t - 5*m - 991. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/2 + 1928*i**3\/3 + 18097*i**2\/6 - 23875*i\/3 + 4300 = 0.\nAnswer: -20\/3, 1, 1290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -13755595 >= -82533569\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2596, -140 in decreasing order.\nAnswer: 2596, 5, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((3 + sqrt(192)*-1 - (2*sqrt(192) + -2)) + 5)*4)**2.\nAnswer: -7680*sqrt(3) + 29245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 750.7248s to microseconds.\nAnswer: 750724800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 9 + 19 + 3*c - 126*c**2 + 0*c wrt c.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*-5*(-1 + sqrt(500))*-6 + 2.\nAnswer: -358 + 3600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16102 - -0.23898. Which is the second biggest value? (a) z (b) 81.8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 24 = x + 17, 5*m + 2*x = 48. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 4490*t**3 - 1310480*t**2 + 123707040*t - 242208000 = 0. Calculate t.\nAnswer: 2, 200, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 14 = -54*r + 53*r, -8 = 4*h + 4*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8922?\nAnswer: 2, 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -1 + sqrt(5) + sqrt(5)).\nAnswer: -36 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 2*y**2 - 4*y + 1. Let i be t(-3). Suppose -g = i*s + 3, 3*s + 2*g + 1 = -0*s. Let b be (-3)\/30*104\/26. Is s smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 20 = -3*o, -m - 34 = -2*o - 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*p - 3, 4 = 5*u + 2*p - 4. Suppose -4*k = -2*c - 3*c - 33, 3*k - 42 = -u*c. Let l(m) = m**3 - 8*m**2 + 4*m + 9. Is l(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402265113.\nAnswer: 3, 73, 1836827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**7\/840 - p**6\/90 + p**5\/40 - p**4\/4 - p**3 - p. Let c(g) be the second derivative of d(g). Give c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900412 (base 11) in base 12?\nAnswer: 59b118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 1254 + 2525*w**3 - 626 - 628 + 0*w**2 to the form k*w**2 + s*w + j*w**3 + a and give j.\nAnswer: 2525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/7*(-7)\/210*-6*1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 543547801.4 and -0.3?\nAnswer: 543547801.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f + 1228. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(1216) - sqrt(1216)) - (sqrt(1216) - (sqrt(1216) - sqrt(1216)*2)*3) - -4*(sqrt(1216) + -2 + sqrt(1216) + 5))**2.\nAnswer: 512*sqrt(19) + 19520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10620?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 17*r - 24 - 23\/2*r**2. Differentiate t(n) wrt n.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**2\/2 - 3*a - 3. Let q be u(-2). Solve q*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {f: 5, s: 2, j: 8, v: 3, u: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.21 - 1.71. What is the third biggest value in 0, -0.1, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 4*j - 3*j)*(3*j**3 - 4*j**3 + 3*j**3) + 2*j**4 + 2*j**4 - 5*j**4 + 2*j**4 + 5 - 5 + (j**3 - j**3 + 3*j**3)*(-j - j - 4*j) - 4*j - j**4 + 4*j.\nAnswer: -22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1147517858 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 + 8*d + 3. Suppose -x - 4*o + 8 = x, -3*x = 3*o + 3. Calculate the remainder when b(x) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -5*j**3\/3 - 359*j. Let k(b) = -19*b**2. What is k(p(m))?\nAnswer: -1900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80\/(-30))\/(2\/(-6)). Suppose 4*n - 4 = -4*a + s*a, 4*n - 4 = -3*a. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdmhtha. Give prob of picking 1 d, 1 t, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnxghwwo. Give prob of picking 1 n and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q + 1. Let v(t) = -t**3 - 4*t**2 + 6*t - 3. Let x be v(-5). Let f(s) = -14*s + 3. Let g(y) = x*c(y) + 3*f(y). Let z = 4 + -9. Calculate g(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89544*g**3*z**2 - 10*g**3*z - 71*g**2 + 5*z**2 + 221*z wrt z.\nAnswer: -179088*g**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*2\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3731*v**3 - 13*v**2 + 19?\nAnswer: -22386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -27. Does 13 divide 2*-39*(-10)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 11557 = -4*u - 1841, 0 = n - u + 2676. Suppose -12629 - 15664 - 44592 = 43*t. Let f = t - n. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212600 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -106720252.62 to the nearest 1000000.\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-12)\/8*1). Find the second derivative of 39*m**u - 6*m**2 + 5*m + 2*m**2 + 2 wrt m.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 not equal to 1.186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 9*o + 8. Let z be m(8). Suppose 10*r + 24 = x + 5*r, -5*x + r = -24. Solve -3\/2*t**x + z*t**3 + 0 + 0*t + 3\/2*t**2 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -7. Let o be 9\/(-12)*s - 2. Factor 0 - 1\/4*k**4 + 3\/4*k**3 + o*k - 3\/4*k**2.\nAnswer: -k*(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1. Let b(f) = 4 - f + 5 + 0. Let w(j) = b(j) + 3*m(j). Let d be w(6). Solve -2*l = -5*y - 20, -4*y + d*l - 2*l + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 3*(3 + sqrt(288)))**2*-6*-5 + 3.\nAnswer: -80757 - 21600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 6*m**2 + 19*m + 1. Let i be d(8). Let w = i + 53. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 24, 2\/5, 8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 90*s**3 - 2*s**2 + 2*s. Let o be u(1). Let x = -52 + o. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/185 and -61\/2?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7498985, 7498983, 7498981, 7498979?\n\"Answer: -2*w + 7498987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**2 + 10273280*z + 6596267622400 = 0.\nAnswer: -1284160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22383 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/13))**(3\/46))**(2\/9)\/((q*q**(-2))**(-4\/13)\/((q\/(q**(-3)*q*q))\/(q*q\/(q\/(q*q**2))*q))) assuming q is positive.\nAnswer: q**(-984\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 132 + 22 = 0. Sort -1, w, 2 in descending order.\nAnswer: 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/14 + (-3)\/(-2). Calculate the common denominator of (-858)\/(-36)*w\/1 and (-4)\/6 - (-4)\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3020)\/(2*(7 - 6)). Suppose 7*u - w = 1144. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142896 divided by 2?\nAnswer: -71448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 322, 1258, 2814, 4990, 7786, 11202?\n\"Answer: 310*z**2 + 6*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 50+-172\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u**(4\/5)*u)\/u*u)\/u)\/u*u*u**0)**(-4) assuming u is positive.\nAnswer: u**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -20154.1207 to zero dps.\nAnswer: -20154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 3*b. Suppose 0 = -3*f - 4 - b, -1 = i + f. Suppose i*v + v = 60. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558 is divided by -52*((-210)\/(-40) + -6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -285097, -570097, -855097, -1140097?\n\"Answer: -285000*t - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(3\/18)\/((-24)\/72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 390\/52*19\/(152\/(-16))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 7*t + 3 - 1 - t. Let i(l) = -10*l - 10. Determine -11*f(h) - 2*i(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -3\/44, 0.2, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 10. Let r(g) = -g**3 + 4*g**2 - 2*g - 2. Let o be r(3). Let j be (-43)\/(-9) + (-6 - -14 - 13). What is the nearest to o in j, c, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/((4\/(-18))\/2). Let m = k + 241. Suppose 2*g - m = -3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - (6 + -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 52*v**3 + 6*v**2 - 3203*v + 9628. What is u(3)?\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-7\/2)*h*h*h)\/h))\/(h\/((h**(-5)*h)\/h)*h)*(h**(2\/3))**(2\/7) assuming h is positive.\nAnswer: h**(-181\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12*o**(-3)*o*o**(-3)*o**(5\/3))**(3\/19))**(-25) assuming o is positive.\nAnswer: o**(-650\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 363011 + -208011. Round y to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.6 + -5.6. What is the closest to -2\/5 in u, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v = 62*v. Solve -5*s + 1 - 6 = v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at least -1153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 - 21*o**3 + 4*o**3 + 5*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*h - 0. Solve 3*x + 4*o - 16 = 4, -h*x = 2*o - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 5, n: 7, q: 1, p: 2}. What is prob of sequence pc?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*j = -205702, 4*v - 246389 = -5*j + 165015. Suppose -7*l = -4592 - v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17680 and 1875185.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -501\/5 - -100. Let o = -39 + 119\/3. Sort o, l, 2\/7 in decreasing order.\nAnswer: o, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -4*t**6\/3 - 11*t**3\/3 + 12. What is the third derivative of f(c) wrt c?\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -8. Calculate the remainder when (159\/12)\/(1\/4) is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6278.0459321278 + 0.2.\nAnswer: -6277.8459321278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*y = 94*y + 225 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3200089882\/10234425 + 611604\/1955. Let j = 2\/1047 - a. Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2049039642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + -49?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5*23\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.877741255 less than 0?\nAnswer: -37.877741255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i = 5*q + 99*i - 9, -5*q + 3 = -2*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 9*n + 25. Let w be s(11). Suppose w*q + 5*y = 64, -3*y + 10 = -y. Find the third derivative of -7*t**2 + 13 - q - 7*t**6 wrt t.\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/7)*j\/(j\/j**(-2)*j))\/(j**(-5\/2)*j*j**0*j*j*j*j))**10 assuming j is positive.\nAnswer: j**(-425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmxxdnp. Give prob of picking 1 d and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017944601.\nAnswer: 3, 67, 5064401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 299 = -4*t, 0 = -3*t + 2*o - 5*o + 222. What is the remainder when t is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 963601*-0.5\nAnswer: -481800.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*u + 2200 = -113*u + 360*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 237 + -1043?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 5*b + 2 + 1\/2*b**2. Let t be p(-4). Calculate the greatest common factor of 11 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 22066, -3 in decreasing order.\nAnswer: 22066, 13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from fqfffffffffqffqf.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 414?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5746337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h, -3*f + 10*h = 5*h + 30. Let l(o) be the first derivative of o**3 + 19*o**2\/2 - 17*o + 2. Calculate the remainder when l(f) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*d + 4. Let x = 16.7 - 17. Let r = -0.9 - -0.5. What is the closest to -1\/2 in d, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - -6) + (-132 - 1). Let p = -91 - m. Let a = p + -42. Solve 0 = g + 4*w + 9, g + w = a*g + 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/23108 and 31\/1325.\nAnswer: 577700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:40 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2 + 1037*k - 3627 with respect to k.\nAnswer: 2*k + 1037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -4, 4, 6.4, 0, -5.6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2826615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:15 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -13?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.6 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -5 (b) -0.1 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16813 - -16806. Let d = 3 + -3. Let s(p) = -p**2 - p + 2. Let w be s(d). What is the biggest value in -1, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22*u - 38 - u**2 + 22 + 6. Let n(i) = 14*i**2 + 1. Let q be n(-1). What is the remainder when a(q) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let g be m(-4). Sort 4, g, 16 in decreasing order.\nAnswer: 16, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 10*a**3 - 11*a**2.\nAnswer: a**2*(a - 11)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 72*j**2 + 324*j.\nAnswer: 4*j*(j + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -618248 - -2810\nAnswer: -615438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 365\/584*1\/((-75)\/(-20))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(13\/(-104))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + (sqrt(1331)*1 - sqrt(1331)) - (2 + sqrt(1331) + 3))*4 + 0 + -5)*2)**2.\nAnswer: 14432*sqrt(11) + 91908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + (369 - 353 - (9 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-19) + ((-87)\/(-551))\/((-2)\/138)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 48*n - 276. Is o(35) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**3 - 1 + 16*l**3 - 4*l**3 + 2*l**2. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1.9 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2522*w + 36 = 2510*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565512?\nAnswer: 2, 23, 73, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = -t + 3*z, 0 = 4*t - 5*z - 10. Let j be t\/3 + 2\/(-3). What are the prime factors of (-9)\/(j + -4) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91661?\nAnswer: 71, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -940, -1\/3, 0.058, 0.2, 5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3894*w + 5*w**5 + 4*w**5 - 3900*w - 2)*(4 + 0 - 3).\nAnswer: 9*w**5 - 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 327*g**3 + 4*g**2 + 3*g. Let l(x) = -653*x**3 - 9*x**2 - 6*x + 1. Let f(c) = -5*a(c) - 2*l(c). What is the tens digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1397*c**4 + 106203*c**3 + 396663091*c.\nAnswer: -16764*c**2 + 637218*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 16431*l + 33098*l - 16431*l)*(10 - 10 - l) to b*l + m*l**2 + t and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (921570\/26325 + -35)*(-1 - 11)?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-45) - 24\/108?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800537 is divided by 5046.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 784656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 + 6*f + 1. Suppose -2 - 22 = 6*r. Determine k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3)*(-39*l**2 + 122*l**2 + 12*l**2) to the form o + y*l**2 + v*l and give y.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqcq when four letters picked without replacement from {c: 2, f: 4, q: 2, g: 5, u: 1}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -364 + 354. Let d(x) = x**2 + 15*x + 3. Let t(f) = 7*f + 2. Let o(r) = 3*d(r) - 5*t(r). Is o(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/10*9\/63)\/(21\/70).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-12))\/(-100*(-4)\/96). Let z be ((-3)\/2)\/((-2)\/(-12)). Sort z, m, -2\/11.\nAnswer: z, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*-1 + 1 + -2. Let q = s - -5. Solve q*y + 2*z = 4*y + 22, 3*y + 29 = 4*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140997 divided by 1313.\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 10924900 to the nearest 100000.\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588628*z**2 + 21779237*z + 37 = 0. What is z?\nAnswer: -37, -1\/588628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4651*k**2 - k + 294.\nAnswer: 9302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*w - 3*q, w + 5*q = -0*w - 10. Suppose w = -5*z + 90 - 65. Solve -z*f - 6 + 11 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 2939193?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.275 * -144963\nAnswer: -39864.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(931))**2.\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let d be t(5). Suppose 0 = d*m - 29 - 15. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 4. Let x be a(-4). Let c be x\/14 - 4\/(-14). Suppose 5*w = -2*f + 6, -c*w + w + 6 = 2*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000001 + 10?\nAnswer: 10001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttwtttt. Give prob of sequence ttt.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831, 840, 861, 900, 963, 1056, 1185?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u*(u**(2\/9)*u)\/u)\/((u**1\/u)\/u*u*u**(-2\/11)) assuming u is positive.\nAnswer: u**(-356\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14472, -35478, -56484, -77490?\n\"Answer: -21006*t + 6534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - h + 3. Let w be c(-3). What is the tens digit of (32\/10)\/(3\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -2*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 924*l + 5 + 737*l + 300*l - 1 - 9 to the form t + d*l and give d.\nAnswer: 1961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 437 - 433. Suppose -2970 = -s*m + 2*y, m - 3*y = -y + 750. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 508. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -6522244?\nAnswer: -6522239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8569731mg?\nAnswer: 856973.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*-2*0. Suppose k = 4 - z. Solve -3*l = -16 + k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -73854934?\nAnswer: -73854936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*d + 16, -5*j = -d + 3*d - 56. What is the remainder when 37 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 1323?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 3 - 4) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 + 222. Suppose 0 = 4*x, -4*g - 5*x + 0*x = -p. Suppose 11*a - 6*a - g = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i**2 + 12*i**2 + 15*i**3)*(2 - 2 + i + (-3 + 0 + 2)*(4*i - 4*i - i)).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267569.\nAnswer: 97, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2721582300 to the nearest one million.\nAnswer: 2722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(77) - (sqrt(77) + sqrt(77)*-2 - sqrt(77) - sqrt(77)))\/sqrt(11) + (sqrt(7) + sqrt(28)\/sqrt(4))**2*-1.\nAnswer: -28 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {v: 1, o: 2, m: 4, n: 3, x: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 20*r + 463. Give l(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i + i)*(-5 + 3 - 5) - 4*i + 4*i - 2*i + (2 - 3 + 2)*(-2*i + 1 - 1).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6\/(-15) + 372\/(-30). Let k be o\/(-18) - (78\/9 - -1). Let c(y) = -y**3 - 6*y**2 + 8*y - 3. What is the hundreds digit of c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 1801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 56380 * 25.61\nAnswer: 1443891.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 81*r - 723. Let o be j(12). Solve 60 = -o*s + 261*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.4 - -26. Let y = 1.4 + s. Which is the nearest to 0.1? (a) 1 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -9*a + q, 2390*a - 2393*a + 14 = -4*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h + 175*h - 2532 = -17*h + 2840 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 576702\nAnswer: -1\/288351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 6*q**2 - 6*q - 1. Let v be f(-4). Let t be (-6)\/v - 2\/(-15). Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 51 = -2*m - 111, 46 = 3*o - 5*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-26) + (-852)\/(-208). Let k = h + -4. Factor -k*f**4 + 1\/4*f**5 + 1\/2*f**2 - 1\/2*f**3 - 1\/4 + 1\/4*f.\nAnswer: (f - 1)**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/102861 and 38\/102861.\nAnswer: 102861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610086 is divided by 35779.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 79\/11 + 10\/(-55). Suppose a*c - 312 = 3*c. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(4\/5)*b))\/b*b*b)\/b**(11\/3))**49*(b**4\/b*b*((b\/((b**(-1\/3)\/b)\/b))\/b)\/b)\/((b**(2\/5)*b)\/(b\/(b*b\/b**2))) assuming b is positive.\nAnswer: b**(-2474\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*f + 3*f**2 - 18*f - 20*f**2 + 152 + 15*f**2 = 0. What is f?\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 + o**2 + 5*o + 4. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-9 - -12) + -9 - 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7555*w - 7356. Give b(1).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -2\/5 (c) -0.068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 25176?\nAnswer: -25176.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 16*w + 100. Determine n(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k + 2. Let v(f) = -4*f - 3. Let z(u) = -4*u - 3. Let d(l) = -4*v(l) + 3*z(l). Let x = -8 - -6. Give x*d(q) + 3*i(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*x - 3 + 1)*(-3 + x + 3)*(1 + 2*x - 1) as p + z*x + u*x**2 + y*x**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21246928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 3*o**7\/7 - 11*o**3\/3 - 14*o. Find the second derivative of r(k) wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 7 - 7)*(60 + 28 - 115) + x**3 + x**3 - x**3 + (0*x**2 + 0*x**2 - 2*x**2)*(0 + 2*x + 0) - 2*x**2 + x**3 + 2*x**2.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*o + 78*o - 2 = 4*h, 4*o + 2*h + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000732825 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2781622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 783588, 784114, 784990, 786216, 787792, 789718?\nAnswer: 791994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t - 30. Let l be m(-5). Suppose 0 = -2*k - 3*s + 53 + 15, 3*k - 4*s - l = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1)\/(4659\/6). Let j = h + 35703\/12424. Find the common denominator of 81\/2 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2\/8 + 15*u - 63\/2 = 0.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -897*y - 6. Let v(b) = 1797*b + 13. Determine -5*r(n) - 2*v(n).\nAnswer: 891*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t + t - t - 1 - t + 1 + (4 - 1 - 4)*(-2*t + 6*t - 2*t) + (-5 + 5 - 1)*(-6*t + 3*t + 2*t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = -4*m + 112, m - 602*y + 597*y = 2 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 679702 and 15370.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 438380692 a multiple of 2092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 - 28 = -14*n. Calculate the highest common factor of n and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 1, r: 1, h: 7, v: 1}. What is prob of picking 1 i and 2 f?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 14776*q**2 + 73847*q - 5. Give y(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14544503 - -4?\nAnswer: 14544507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 13*s**7\/420 - 2*s**4\/3 - 4*s**3\/3 + 23. Let q(y) be the third derivative of n(y). Differentiate q(k) with respect to k.\nAnswer: 78*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 1, d: 2, j: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -100. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11.2 (b) 0.1 (c) 480 (d) -21 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 s when four letters picked without replacement from lwsslqqqsqw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l + 120. Let i = l - 22. Solve -b - 5*y + 7 - 2 = 0, -4*y = i*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -31.9. Let k be (-2)\/4*30\/(-3). Suppose o - k*g = -2*o + 35, -o = g - 1. Which is the second smallest value? (a) o (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 7*v - 6. Let g be w(8). Let a(x) be the first derivative of 1 + 2 + g*x**2 - 2 - x**3. What is the second derivative of a(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-4) + (-2980)\/(-16)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209\/42 - 36\/7. Let y = 49 + -53. Let v = 0.03 + -5.03. Which is the third smallest value? (a) x (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from hmmhlmmmwmw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*s + 4*s - 7*s)*(-2 + 7 - 4) + 5*s - 8 - 37 + 12)*(s + 4 - 4 + (-2*s - s + 7*s)*(-2 + 4 - 3)).\nAnswer: 9*s**2 + 99*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482324 is divided by 370579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -286 - (2 + 0 + 0). Let s be m\/3*(-2)\/3. Calculate the greatest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7553852 rounded to two dps?\nAnswer: -7.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7172 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 31 + -4 + -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 - 22*k**2 + k + 32. Let f(l) = -l**3 + 3. Let b(o) = -5*f(o) + v(o). What is b(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 8. Suppose 108 = 5*g - 4*a, 5*a + y - 47 = -g. Suppose -4*l = -2*l - g. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - 45\/(-35). Let f be (0\/5)\/(r\/(-1)). Let g = 5 + 1. Solve -3*y = -2*n - g + 3, f = 5*n - 4*y + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00693 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -9. Let g = n + 18. Solve 2 - g = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 + 15*y - 2. Calculate v(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**3 + 4 - 4.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h - 9147 = 38*h - 3*a, 2*h = -5*a + 3655. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + -76 - -7*2\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 324861779*t + 251069997.\nAnswer: 324861779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 4)*(4*d + 0*d - 5*d) - 1552*d + 128*d - 1613*d - 803*d as x*d + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 496 = -15. Suppose -424 = -4*p + x + r, -3*p - 2*x + 354 = 0. Calculate the remainder when p is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 430540*m + 10761000.\nAnswer: 4*(m - 107610)*(m - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 52216 (base 8) to base 4\nAnswer: 11102032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-130) - (-6)\/(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -26*d + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3502.734 weeks?\nAnswer: 2118453523200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in -0.5, 2, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b - 8*n - 24 = 0, -2*b + 17133*n = 17130*n - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*h, 5*f - 17 = 2*f + h. Suppose -12*y + 11*y = 0. Put f, 5, y, -1 in descending order.\nAnswer: 5, f, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = -n, -2 = q + 5*n - 1. Suppose 71 + q = 2*x. Suppose -3*w + x = w. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.21\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c + 3*c**2 + 8 - 3*c + 13*c**2 - 9*c**2. Let l(w) be the first derivative of -5*w**3\/3 + 5*w**2\/2 - 5*w + 24. Give -8*l(u) - 5*z(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, h: 1, x: 2, v: 1}. What is prob of sequence xx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26179.72793 rounded to the nearest 100?\nAnswer: 26200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)\/(r\/(r*(r*(r\/(r**(-5)*r))\/r)\/r)*r) assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 455418 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5873 is divided by 1340?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -115\/7 less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2 = -2*t, 2*t = 5*h + 239 - 229 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2\/35, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15)*h*h)**(-45) assuming h is positive.\nAnswer: h**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 225 = -0*j. Let p be ((-11)\/33)\/(-3 - (-343)\/114). Let t = j + p. Solve -5*m - 29 = x, -5*x + 5*m - 2 = -t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57.93 + 31. Let s = t - 1.07. Let y = -23 - s. Which is the third biggest value? (a) y (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8912122 take away -215788?\nAnswer: -8696334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -475\/7 - -12245\/182. What is the common denominator of 93\/22 and x?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40400 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298 and 28\/(-6)*(6\/7)\/(120\/(-31290))?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-1)*(-39)\/117?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4855*a + 5906*a - 13141*a - 9675*a - 9650*a)*(0*a - 2*a + 3*a).\nAnswer: -21705*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 656488 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Suppose -k = 2*l + 1, -3 = -4*l + 3*k - 20. Let r be l\/(-5) + (-3 - 8\/5). Which is smaller: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 2:20 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -309*y**2. Let o(x) = -x**2 + 3. Let n(z) = -12 + 22 + 23*z**2 - 27*z**2. Let t(a) = 3*n(a) - 10*o(a). What is t(s(q))?\nAnswer: -190962*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 + -122. Calculate the smallest common multiple of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 656100?\nAnswer: 656100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 48081*t**2 - 48081*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 390159895 and 390159895 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let o(q) = 5393*q. Give o(l(d)).\nAnswer: 5393*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -6307\nAnswer: -78\/6307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 35 = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.676, -3, -0.01, 3.2 in decreasing order.\nAnswer: 3.2, 0.676, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let f(t) = t**3 - 13*t**2 - 9*t - 2. Let p(j) = -f(j) + 6*v(j). What is the remainder when p(8) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 463, 470?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 3*t + 1. Let q be v(-4). Suppose 29 = 2*l - l - q*x, 5*l - 33 = -3*x. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(2\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 5*x + 2*x**2 - 3*x**2. Let p be f(2). Suppose -2*t - 5*v = -p*v - 200, 97 = t + v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 317 - 240. List the prime factors of i.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19056.716 + -9.8.\nAnswer: 19046.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-35) - ((-4477)\/259 - -19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09363 rounded to 3 dps?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -28*t + 9*t**2 + 57*t - 48*t + 7*t**2 - 15*t**2 + 25. Calculate n(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 224501.54.\nAnswer: -224501.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2759 * -27.\nAnswer: 74493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4636262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003119627004 to 5 decimal places.\nAnswer: -0.00312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 0.02 (b) 2\/15 (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 20867124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 90?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtw when three letters picked without replacement from {r: 3, m: 4, w: 4, e: 4, t: 3, z: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45373, -90742, -136109, -181474, -226837, -272198, -317557?\n\"Answer: w**2 - 45372*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -230, 4, 0, -5 in increasing order.\nAnswer: -230, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36292564 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1108, -1107, -1106, -1105, -1104?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3128571 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*x + 4. Let y(s) = 2*s**x - 5*s + 3*s - 1 - 2 + 0*s**2. List the prime factors of y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -413473 + 1?\nAnswer: -413472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3307127 (base 9) to base 6.\nAnswer: 102025211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -2\/3 (c) 4.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g*r**4 - 10*g*r - r**5 + 2*r**4 - 13*r wrt r?\nAnswer: -60*g*r**2 - 20*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -6 (c) -1 (d) -3\/2 (e) 0.4 (f) 397 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 93*b**2 + 327*b - 2245. Let l be k(7). Calculate the highest common divisor of 321 and l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((-300000 - 1) + -2). What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 5, 1\/8, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6008608*j**2 + 944903*j?\nAnswer: 12017216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0226302388 rounded to 4 decimal places?\nAnswer: -0.0226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1032 - 3549 = -5*b, -3*k = 3*b - 1890. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2126592 and 3456?\nAnswer: 6379776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c**2 - 2*c - 5956 + 5956. Let z(l) = -3*l. Determine i(z(n)).\nAnswer: -90*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142301 and 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 363 - 4?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71247 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 277*m + 4392. What is p(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 10.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12411713953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132 is divided by 111?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/11 in -2\/19, -1.9, 0.6, 2, -3\/7, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -3\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/30 and 73\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*10*14\/105*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 542092992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -303, -274, -213, -108, 53?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 401744134 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 7. Let d be j(7). Let m = -34 - d. Let n = m + -4. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3298 (b) -2\/41 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from qtqu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0 - (-67 - -71)) + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113\/14 + 1557\/238. Find the common denominator of k and -119\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/580 and 77\/348.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20304100 (base 5) to base 4.\nAnswer: 220210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**4 - 77*z**3 + 517*z**2 - 14. Let i(x) = -3*x**4 - 38*x**3 + 258*x**2 - 8. Let s(f) = -7*i(f) + 4*y(f). Find the third derivative of s(u) wrt u.\nAnswer: 24*u - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*z - 4 = -3*g, 4 = -2*g - 2*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 6*w + 26. Let d be q(8). Suppose -3094 = -24*o + d*o. What is the greatest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -491 (base 12) in base 14?\nAnswer: -36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1630577 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 5*p - 2. Let v(k) = 4*k**2 + 5*k - 1. Let o = -4 + -1. Let a(r) = o*y(r) + 4*v(r). List the prime factors of a(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 = 2. Suppose -63 = -2*q - 27. What is the greatest common factor of q and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -124) + (2 - -9 - 25) + 15.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgvvdmgd. What is prob of sequence dd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -23387806 less than -23387806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - -1. Let c be 2 + -4*z\/116. Let v = -78\/145 - c. Is 0.7 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -304, -299, -292, -283, -272, -259, -244?\n\"Answer: b**2 + 2*b - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214004 + 414?\nAnswer: 214423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 211, -5, 524, -0.4, -0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23*0.9\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**7\/420 - n**5\/60 - n**3\/3 + 3*n**2. Let c(v) be the first derivative of z(v). Find the second derivative of c(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-8))\/(1\/(-4)). Let l = t - -2. Let o(k) = -k + 3. Let h be o(6). Is h < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*d - 0 + 1, -2*s = -5*d + 14. Let a = s - -38. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -n - n + p, 2*n - 46 = 4*p. Suppose 9*u - 4*u - 325 = 0. What is the remainder when u is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -994813168 rounded to the nearest 1000000?\nAnswer: -995000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 0) + 75 + (50 - 133)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49317 is divided by 822.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31077071.\nAnswer: 17, 23, 79481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**7\/840 + k**6\/60 - k**5\/120 - k**3\/2 + 2*k. Let s(v) be the second derivative of a(v). Let w = -48 - -42. What is s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 15153160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 3 + 3*h + 3*h + 2*h**2. Let x be m(-7). Let r be 1*-10*(-1)\/2. Calculate the highest common divisor of r and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -3) + -2 + 7. Let l(v) = -v**3 + 5*v**2 - v + 7. Calculate the least common multiple of 10 and l(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5772)\/910 - -6)\/(1\/15*6)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*w = -25, -s - 46*w = -44*w - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -3 (c) 0 (d) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1238754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus -47189445644?\nAnswer: 47189445627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19915 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) -2 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(2\/(-12)). Let u = -16 + 6. Let i be 3 + 9\/(45\/u). Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127050998 - -37\nAnswer: -127050961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6))**50\/(c**(-8\/5)*c**(-16)*c) assuming c is positive.\nAnswer: c**(-1167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1052503969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-24) - (42\/(-252) - 0\/(-2)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u. Let m = 30807\/26 + -1185. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -11. Suppose 0 = -b*r + 10*r - 10. Find z, given that -28 + 2*z**5 + 24 - 8*z**3 - z**4 + z**4 + 4*z**r + 6*z = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) + 126\/35. Suppose r*y = 4 + 4. What are the prime factors of (y + -17)*(0 + -1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3937 and -1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57635 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000029627 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*(5\/(-2) - -2). What is the greatest common factor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33192.05l to millilitres.\nAnswer: 33192050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/5 - -6 - 5. Solve 3*l = 6, 3*v - 30 = 7*v - w*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3129107 - 1?\nAnswer: 3129106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 3*o**2 + 0*o**2 + (3 + 0 + 0)*(2*o**2 - 5*o**2 - 3*o**2))*(o**2 - o**2 - 2*o**3).\nAnswer: 28*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*j - 2*l - 9, l = j + 3. Let v = -1.5 + 0.5. What is the closest to v in 3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 1. Let q be g(1). Let c be 0 + q + 0\/2. Suppose 4*b - c = 2*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192 - -194)*72\/(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -702*f + 694*f. Let i be (4 - f\/2) + 200. What is the highest common divisor of 27 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 24 = g + 23, 27 = 3*g + 3*z. Solve 38 = g*w + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1540 - -4173. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.4 - 13.1. Let u = x + -34.3. Let b = 40.082 + u. What is b rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ea (base 15) in base 12?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 1248705.\nAnswer: 11238345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:26 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*s - 280 = 0, 15*s - 17*s - 10 = 0. What is the remainder when k is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**2 + 49*x**2 + 5*x**3 + x**4 + 25*x**3 + x**2 wrt x.\nAnswer: 24*x + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165834 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-724)\/6)\/(20\/(-30)). Suppose 2*v = v + x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -39*u**5 + 36 + 10*u**2 - 28 + 166 - 7*u**5 + 34*u - 11*u**2. Find the second derivative of s(w) wrt w.\nAnswer: -2760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -3, -111, -18, 1\/2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40725.\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9367 + 18923 - 3*y - 9452 as c*y + w and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54\/2025*-10 + (-402)\/180\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 0*z - z**2 - 2*z + 6*z**3 to s*z + c + o*z**3 + x*z**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -0.432 (c) 57\/11 (d) -48 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 1. Let u(v) = v**3 - 6*v**2 - 4*v + 6. Let n(h) = 5*r(h) - u(h). What is n(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 58. Suppose -y = -3*h - 16, 0*y = -4*y - 5*h + 30. Calculate the remainder when r is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10. Does 3 divide -3 - ((-2 - j) + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 99*b. Let f(c) = 20*c. Calculate -11*f(r) + 2*w(r).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52053906 to the nearest integer?\nAnswer: 7215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014265 rounded to four dps?\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.57 - 3.87. Round z to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 13*x**2 + 8*x + 39. Determine h(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-7)\/21)\/(10\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.6 (b) 21 (c) -0.1 (d) -183.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5830 is divided by 114.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + 5\/((-5)\/(-3)). Let x be -2 - (1 + h\/(-3)). Which is the third smallest value? (a) -2 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2041651*h**2. Let p(d) = 3*d**2. Calculate g(p(n)).\nAnswer: -18374859*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*z + 15, -3*r - 2*r + 25 = 0. Let j be 1\/z*-1*6. Find the second derivative of -2*k - 3*k**3 - 2*k**3 + 4*k**j + 4*k**3 wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*g + 127*g - 756. What is the remainder when 206 is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 + 1001?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 - 1 = 3*f, 2 = -5*f + 2*h. Which is the closest to f? (a) 0.1 (b) 2.9 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28441, -56887, -85333, -113779?\nAnswer: -142225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, 164, 389, 708, 1121, 1628, 2229?\n\"Answer: 47*o**2 - 10*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(0 - 2\/420). Suppose a - 297 = 6*c. Which is smaller: -34 or c?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -1) + (-10)\/2. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n - 4. Let p(y) = -y - 2. What is -8*p(m) + v(m)?\nAnswer: 15*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -3\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118552 and 74704?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 3*w + 7. Let n be v(-5). Let z be (112\/24)\/((-1)\/n). Solve -3*d + 7*d + 10 = 2*i, -5*d - z = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 4*v**2 - v + 8. Let f = -66 + 70. Let m be w(f). Suppose g - m = 3*g + 3*c, 0 = -g - 5*c - 9. Solve -o + g = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-14 + 1 - (-18 - -18)) + -222 + 216)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1262, -1272, -1282, -1292, -1302?\n\"Answer: -10*f - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -269, 1, -2\/127?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 90\/54*14\/(-315)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1358\/(-4))\/((-19)\/190). Let v be (f\/15 + 6)\/((-1)\/(-3)). Suppose -4*l + 566 = 5*y, -y = 5*l - 0*y - v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2080940745 to the nearest integer?\nAnswer: 45617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1924176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 340743*n - 23*n**2 - 330 - 340743*n in the form g*n**2 + b + x*n and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1298*l**2*t**2 - 15*l**2*t + 2*l**2 + 3*l*t**2 - 110*l*t + t**2 wrt t.\nAnswer: 2596*l**2 + 6*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + (-175185)\/(-900). Is 193 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*n + 78 - 67, 0 = 5*d + 5*n + 10. Solve -d*s - 24 = 19*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 24157 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6357549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 2*w**2 + 6*w + 4. Let y(b) = -2*b**3 - b**2 + 5*b + 3. Let o(f) = 3*r(f) - 4*y(f). What are the prime factors of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -66. Suppose 5*f = 3*f + y. What is the remainder when 40 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 284 = -2*j, -2*y + 3*j = -5*y + 216. Suppose 22*u - 14 = 8*u. Let x be 49\/196 - 11*u\/(-4). Sort x, y, 1 in descending order.\nAnswer: y, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*x - 465 = 0, 0*j - 5*j - 3*x = -791. Solve h = -j + 160 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + sqrt(720) + -1*sqrt(720))*-4)**2 + (5 + sqrt(720) + sqrt(720)*-2)**2*4*6 + 5.\nAnswer: -2880*sqrt(5) + 24285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 70 - 4*k**2 + 5*k**2 - 72. Let y(w) = w. What is y(i(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 104*w**4 + 552*w**3 + 1012*w**2 + 794*w + 228 = 0.\nAnswer: -2, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7284231 to 4 dps.\nAnswer: 0.7284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7))**31\/(t**(-2\/21))**(-10) assuming t is positive.\nAnswer: t**(73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/78 - (-80)\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:56 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 + 5*o - 3. Let v(h) = 5 + 0 - 6*h + 2 - 3 + 6*h**2. Calculate -5*q(r) - 4*v(r).\nAnswer: r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*m - 676 + 1211 = -88*m - 2480 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9 = 4*z + 13, 2*z = 8. Is -19 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.404499 or -0.52?\nAnswer: -0.404499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -38297542562?\nAnswer: -38297542561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 17*m + 67. Let s be b(-12). Suppose -4*t + n = -s, 4*t + 10 = 5*n - 3. Solve 3*i - 12 = 3*u, 4*u = t*i + 2*u - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*d - 260*d - 704*d - 8779 - 2671 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12e64c (base 16) to base 3.\nAnswer: 2022221001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 7*k + 24. Suppose -3*b = -k - 18. Calculate the greatest common divisor of 80 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 2*a**2 + 4*a**3 - 2*a**3 - 3*a**3 + 6*a**3 in the form w*a**2 + r + z*a**3 + v*a and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/254 - -2041\/762. Which is the smallest value? (a) 0 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2 - 6. Let d(p) be the third derivative of p**6\/30 - p**5\/20 + p**4\/12 + p**3\/6 - 9*p**2. Does 10 divide d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*v - 114*v - 10*v.\nAnswer: -242*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 26*a + 7 + 24*a + 141 - 47*a. Let w be g(-28). Calculate the greatest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079098 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111101 - 2?\nAnswer: -10111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2139732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 147.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 609100*b**2 - 18550140500*b.\nAnswer: -5*b*(b + 60910)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7730 + -7304. What is the remainder when q is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13286703 to the power of 1\/2, to the nearest integer?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2, 5*m + 2*z + 3*z = 25. Let y be 45\/7 - m\/14. Suppose l - 8 = -y. Solve d = l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45191 at least 45191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 2, d: 1, y: 1}. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 67.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13097285 = 63*p - 13100372 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120331301 - -10120?\nAnswer: 121002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.92 - 25. Is -2 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(245)*-2 + 3 + sqrt(245)*1 + -3 + 0 + 5.\nAnswer: -7*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, j: 1, y: 6}. What is prob of picking 2 y?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440124024731 take away -0.4?\nAnswer: 2440124024731.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(35)\/(2*sqrt(847)))**2 - sqrt(40)\/((sqrt(16)\/sqrt(2) + sqrt(8))*3)).\nAnswer: -sqrt(5)\/6 + 1457\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 5, b: 3}. What is prob of sequence hhy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let w = -239 - -242.91. Let a = w - 4.21. What is the second smallest value in r, a, -1\/4, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1923 (b) 74 (c) -0.1 (d) -1\/6 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -72. Let v = 2 - 2. Let r(l) = -32*l**3 - 5*l**d - 2*l + v*l**2 + 31*l**3. Give r(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298967 - 370660 = -1133*m + 1112*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (11 + 20)) + 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -130858\/855 at most as big as -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 21. Let d be f(11). Let i(h) = -h**2 - 5*h - 4. Let p be i(-4). Sort d, -2, p in descending order.\nAnswer: d, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 8*s + 7. Let b be v(6). Let x(c) = 16*c + 1248. Let y be x(-78). Sort y, 2, 1, b in increasing order.\nAnswer: b, y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -25*l**3 + 2*l**2 + 244*l - 2. Let u(s) = 137*s**3 - 11*s**2 - 1221*s + 11. Give 22*t(b) + 4*u(b).\nAnswer: -2*b**3 + 484*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0\/(m**(-2\/25)*m) assuming m is positive.\nAnswer: m**(-23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 41*s**2 - 58. Let w(k) = k**2 - 2*k - 1. Let a(n) = -5*n**2 + 8*n + 5. Let v(x) = -a(x) - 4*w(x). Let p(r) = u(r) - 4*v(r). Differentiate p(q) wrt q.\nAnswer: 74*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**0))**2*((f\/f**(-2))\/f)\/(f\/((f**1*f)\/f)))**(-1\/11) assuming f is positive.\nAnswer: f**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24106 - 1735771\/72. Calculate the common denominator of -105\/88 and i.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1452 - 23?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 4469\nAnswer: 11\/4469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 2*m**2 - 1 - 5*m**2 + 2 - 2*m**3. Let x(r) = r**3 + r**2 + r - 1. Suppose a + 0*a - 11 = 0. Let z = -8 + a. What is z*x(f) + q(f)?\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7396*f + 8107*f + 3232*f + 1130*f.\nAnswer: 19865*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*s - 640*s + 2205 - 698*s.\nAnswer: -s + 2205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**2 + 47*m**2 - 68*m**2 - 46*m**2 + 123*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/10)\/((-15)\/225) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Let m = -0.23 + 0.48. Let s = 1.75 + m. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6475 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 times -0.35545?\nAnswer: -25.94785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by 38.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 9*g**2 - 13*g + 7. Let w be h(-7). Solve -3*f - 5*v + w*v = 16, 4*f = v - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*3)\/(-3*sqrt(1584)) + -1*2*sqrt(1800) + 1 + sqrt(1800) + -1)**2.\nAnswer: 32761\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 25237.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58 (b) 7 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14734, -14765, -14818, -14893?\nAnswer: -14990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37)\/(-22) - (-12)\/(-66). Let f = 8 + -6. Which is the nearest to f? (a) 1\/7 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 3, i: 2, t: 6, a: 2}. Give prob of picking 2 x and 1 a.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-570)*(-70)\/84*6?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3002?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 15*x - 24. Let a be u(10). Factor 4 - 4*i**2 - 2*i**3 + 52*i - a*i - 24*i.\nAnswer: -2*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z - 31 = -43*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220346 and 2392328.\nAnswer: 16746296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - j + 855. Determine l(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0 + 47*i**4 + 1\/3*i**3 + 2*i - 3\/2*i**2. Is u(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -75. What is the nearest to -0.1 in 1\/4, -1\/8, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0 + 0)*(3*s**2 - 5*s**2 + s**2) + (11*s**3 - 6 + 6)*(-3 + 4 + 2) - 14*s**3 + 22*s - 22*s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*u**2 - 203 + 237 + 81*u**2.\nAnswer: -4*u**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 - 203. Suppose o*n + 5*p = 127, 0 = -9*n + 13*n - p - 265. Solve n = 17*g - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 20*r + 656. Let j be o(-25). What is the greatest common factor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3351*i**2 - 2*i**3 - 3351*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:44 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1*n)**(3\/16)*(n*n**(2\/3))**3*n\/(n\/(n\/n**5))*n\/(n\/(n*n**(-3)))*(n**(2\/7))**29 assuming n is positive.\nAnswer: n**(879\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4132 - -402?\nAnswer: 4534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and -59\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/3 - 15*f**2\/2 - 11*f. Let o = 7 - 1. Let v(t) = 2*t**2 - 8. What is o*q(x) - 11*v(x)?\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 291 and 19502469395.\nAnswer: 19502469686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 5. Let y(j) = -10*j**2 + 16*j + 2. Let x be y(2). Let f = t - x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 111)*(-15 - -14). Suppose u - 158 = t, 0 = u - 8*t + 3*t - 170. Let m = u - f. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6685750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490530 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856250269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1410 - 72*l - 5*l - 25*l - l.\nAnswer: -103*l - 1410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 = 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by -4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/5 + 3\/5. Let s(z) = -z**2 + 12*z - 24. Calculate the smallest common multiple of 6 and s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*o - 13, -5*f + o + 89 = -3*o. Which is smaller: 20 or f?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + b**3 + 3 + (-2 - 2*b + 2)*(70*b**2 + 687 - 687) - 5*b**3 - 5*b**3 + 3*b**3.\nAnswer: -146*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -579407437*q**4 - 460816183*q**2?\nAnswer: -13905778488*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 194*o**2 + o. Does 17 divide w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 8:58 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1254 - 21*l - 1247 + 6*l to h*l + t and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 2 s when four letters picked without replacement from {q: 1, p: 8, o: 3, i: 1, s: 4}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6644, -12119, -21244, -34019?\n\"Answer: -1825*t**2 - 4819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2325440 divided by -688.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 26 + 7 - 212*j - 28 - 5*j to the form l*j + z and give l.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -b, 3*b = 4*z + 2*b + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2. Let c(o) be the first derivative of -o**2\/2 + 2. Determine c(q(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 17*a**4 + 3*a**3 - 3*a**2 - 12. Let p(y) = -33*y**4 - 5*y**3 + 5*y**2 + 23. Let t(w) = 10*i(w) + 6*p(w). What is the first derivative of t(u) wrt u?\nAnswer: -112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a minute in seconds?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -4\/7 (c) -0.4 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -10. Let p(x) = -x**2 - 5*x - 2. Let w be p(s). Sort 3, w, -4 in descending order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -31. Let r = p - 43. Which is the biggest value? (a) r (b) 0 (c) -2\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 2*j - 3. Let p be r(2). Let b(s) = s - 18. Let k(t) = -2*t + 64. Let y be k(22). Let o be b(y). Solve -o*l + p = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1761*a**4 - 8735*a**2 + 8735*a**2)*(1 + 0 - 2) + a - 2*a**3 + 2*a**3 - 5*a**4.\nAnswer: -1766*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 209\/3. Let s be ((-2)\/(-1))\/(-2)*6\/(-12). Let l = -3\/4 - -23\/20. What is the smallest value in b, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 62*u - 20. Calculate the lowest common multiple of 4 and o(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/3 or 584165?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 2, -109, 0.5, -118?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254.328 rounded to the nearest 10?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose -5*b - 5*q + 57 = -33, 36 = l*b - 2*q. Suppose -5*h = 0, 0*h = 2*j - 2*h - b. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/7 - 445040*j\/7 + 12378787600\/7.\nAnswer: 4*(j - 55630)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13712 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1774 - -1779. Solve -5*y = -x - 4, -2*y + 5*x + 20 = -g*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1829.763626 to 0 decimal places.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 25 = -5*a, 172 - 147 = -5*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24051.37705 rounded to the nearest 100?\nAnswer: -24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = o + 3*i - 0, -4*o - 14 = -2*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*p**2 - 37\/6*p - 25 = 0 for p.\nAnswer: -25\/2, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bmbmmmbmmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*m**5 - 185*m**4 + 2*m**3 - 322837*m wrt m.\nAnswer: 240*m**3 - 2220*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*o + 3 = 5, o = 5*y - 9. Find the second derivative of x - 40 + 59 + x**3 - 77*x**2 + 19*x**y - 28 wrt x.\nAnswer: 6*x - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o + 36*o + 3047*o**2 - 17*o.\nAnswer: 3047*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(sqrt(7) + sqrt(14)\/sqrt(2) + 3 - sqrt(7)))**2.\nAnswer: 240*sqrt(7) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/9 (b) -0.017 (c) -1\/4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 590170 and 700.\nAnswer: 5901700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-64)*(1007 + -935).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63544 + -5?\nAnswer: -63552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -2 - (-21 - -44)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 457255 divided by 839\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 183.5191 and -6.\nAnswer: 177.5191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789104795?\nAnswer: 5, 181, 419, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-60)\/12 + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(2\/5)*n))\/n)**(-2\/107)\/((n*n*n\/(n\/n**(-1\/5)*n))\/n**(2\/7)))\/(n*n\/(n*n**(-1\/4))*n*n**(1\/4)*n*(n**(2\/9))**(5\/19)) assuming n is positive.\nAnswer: n**(-5182841\/1280790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((-50)\/(-8))\/1 + -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -812, -3047, -6754, -11939, -18608, -26767, -36422?\n\"Answer: -g**3 - 730*g**2 - 38*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 - 690*l**2 + 17476*l - 96672 = 0. Calculate l.\nAnswer: 8, 19, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/4 - 102\/(-2). Let x(m) = 52*m + 2 - q*m - 1. Let a(n) = 7*n - 5. Determine a(g) + 5*x(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.8188um in meters?\nAnswer: 0.0004858188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/j)**41\/(j**6*j*j**(-3\/17)*j) assuming j is positive.\nAnswer: j**(-2756\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.947998129 + 2.948. Round y to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 3*r**3 + r. Let y(t) = 2*t**2 + 2*t**2 - t**2 - 2*t**2. What is y(p(o))?\nAnswer: 324*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (2140\/(-321))\/((-35536)\/(-17772) + -2*1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g**2. Let s be 4\/6 - 109\/(-3). Let t be (-7)\/14*(-168 + (0 - -4)). Let b(o) = t*o - s*o - 44*o. Give b(w(l)).\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136582236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.735 - -0.265. Which is the closest to -0.3? (a) 5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 3. What is u(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**3\/3 + 206*z + 16. Let a(k) = 2*k + 1. Give p(a(q)).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 14) to base 5\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.212 and -10674.\nAnswer: -10674.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -2.05 (c) 9485 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -1\/6*r**3 + 0*r**6 + 0*r**4 - 2*r**2 - 19\/210*r**7 + 0*r**5 + 0*r + 0. What is the first derivative of t(w) wrt w?\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.93511 micrograms in kilograms?\nAnswer: 0.00000000593511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 8. Let o be j(5). Let h be ((-2)\/40)\/(o\/(-48)). Which is the second biggest value? (a) 2 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313268955 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255\/68)\/(54\/(-1800)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -782.3585366002 + 542108.3135383202. Let q = z + -541326. Let p = q - -0.045. Round p to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-187*i + 1 - 219*i - 194*i)*(-3*i - 12*i**2 + 3*i) to the form n*i**3 + h*i**2 + v + u*i and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - m**2 + 7*m + 3854. Let d be y(0). Let r = d - 158022\/41. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:31 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 3 + g + 4*g**3 - 3*g + g - 2*g**3 to the form c*g**3 + a + l*g + j*g**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/28 - (-546)\/(-1911).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-131)\/1834*7\/(-6)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-5)*(-29)\/812)\/((-1872)\/819).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*h + 27 = 2, -4*h + 37 = 5*j. Suppose -3*p = -j*r - 10, 17 - 47 = p + 5*r. What is the units digit of (-267)\/p + (-18)\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49463 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 17*k + 4. Let y be (6\/4)\/((-21)\/364). Let q(p) = 4*p + 1. Let c(l) = y*q(l) + 6*j(l). What are the prime factors of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**29*d*d**38*d)\/(d**19\/((d*d**(1\/2))\/d)))**(-33) assuming d is positive.\nAnswer: d**(429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -40, -95, -172, -271, -392?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*n, -4*p - 2*n + 2 = -0*n. Let m(d) = 10*d + 1. Determine m(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Suppose -5*u + 80*h - 81*h = -16, 20 = u - 4*h. Solve -2*z - y*z = u*f - 4, 4*f = z + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + -10 + (11 - (-198)\/(-18)). Find b such that 8\/11 - 2\/11*b**x + 6\/11*b**2 + 16\/11*b - 4\/11*b**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 6. Give h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39880 is divided by 3693.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2983998, -2984107, -2984202, -2984277, -2984326, -2984343?\n\"Answer: t**3 + t**2 - 119*t - 2983881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -12. Let y be x\/(-8) - 2\/(-8). Let i be (-36)\/(-2) - (y - 6). Solve 0 = 3*w + i - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 76424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069258?\nAnswer: 2, 73, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56061 and -2?\nAnswer: 112122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0*d - 3*d)*(14 - 27 + 8) - 24*d + 10*d - 47*d - 9*d.\nAnswer: -75*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 30*f. Let w be j(7). Find the common denominator of -55\/12 and (1442\/w)\/(4\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/4 + 3877*l\/4 + 673779\/2 = 0.\nAnswer: -321, 4198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from {r: 1, j: 1, n: 4, k: 6, x: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11850 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*c - 3*f - 14, 4*c - 6 = -2*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z - 5*y = -455, -z + y = -101. Suppose -156 = -7*n + z. Let j(d) = -19*d - 6. Calculate the remainder when j(-4) is divided by n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2))**(16\/3)*u**9*u*u**9*(u**1)**(-1\/3)*u**(-1\/3)*u**(-1\/3) assuming u is positive.\nAnswer: u**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*4*sqrt(80))\/(4*(-3*sqrt(36) - sqrt(4)))*6.\nAnswer: 108*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -164176, -164177, -164178, -164179, -164180?\n\"Answer: -g - 164175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 4*w**2 + 2*w**2 - 4*w**2. Let k(x) = x**2 + 2*x - 2. Let q(r) = r - 1. Let y(m) = k(m) - 2*q(m). What is y(a(u))?\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142912?\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 45498*t + 4. Let c be b(2). Round c to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -3\/5, 33\/10, 14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 1550 = 43*b + 128*b. Let n(p) = -p**2 + 10*p - 9. Calculate the smallest common multiple of b and n(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/5*(-10)\/(-14). Let s = 6\/23 - 4\/23. Which is the closest to 1? (a) 5\/3 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308186226.\nAnswer: 2, 3, 17121457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 53, 81, 111, 143?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -2 + -10 + (-7 - 17) + -10\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 + 1 + 3 + 29 + -21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 10*o**2 - 7*o + 7. Let w be p(9). Solve -8*m = -3*m - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-40))\/((-39)\/65)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l**(-2\/55)*l)*l**31\/l assuming l is positive.\nAnswer: l**(1707\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(68)\/sqrt(4)*4 + ((sqrt(85) + 2*sqrt(85))*2 + sqrt(85))\/sqrt(5).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 49, 133, 249, 397?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 4, 2, 5 in ascending order.\nAnswer: 2, 4, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6035*m**3 - 16*m**2 - 5*m + 2?\nAnswer: 36210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 505920 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26636527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*y**2 - 15*y + 15*y + 6*y as i*y + j + n*y**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 1. Let j(t) = 3*t**3 + 6*t**2 + 6. Let q be (-3 - 4\/(-4))\/2. Let h be 2 - q*6\/3. Suppose h*p - 50 = -74. Give p*y(r) - j(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express w - w**4 + 7 + 7*w**3 - 47 - 167 - 3*w**3 in the form s*w**3 + j + k*w**4 + h*w + l*w**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*14*6*(-3)\/63\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/6)*a)\/a**(3\/8))\/(a**(-7)\/(a**5\/a)) assuming a is positive.\nAnswer: a**(299\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 - 281*z**3 + 136*z**3 + 2 + 146*z**3 + 7*z. What is the remainder when ((-54)\/(-15))\/((-3)\/(-70)) is divided by a(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3*200\/60. Let n be (-10166)\/104 - (-1 + q\/8). Are n and -98 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15666 and 510264?\nAnswer: 3571848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7597861455 to the nearest integer?\nAnswer: 87166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -92606.604.\nAnswer: -92606.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**8\/13440 - s**7\/2240 + s**6\/1440 + 77*s**3\/6 - 12*s**2 - 2*s. Let a(h) be the first derivative of k(h). Factor a(y).\nAnswer: y**2*(y - 2)*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + b + 6. Let n(o) = 7*o**2 - 2*o - 20. Let m(g) = n(g) + 4*q(g). Give m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quie when four letters picked without replacement from uqiqquqeiqueq.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (289499\/11 - (-6)\/(-66)) + -16 + 7 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:26 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37891737 rounded to 2 decimal places?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*m - 632. Suppose y = -4*w + m, 5*y - 55 = 4*y + 4*w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 422?\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8370*l - 8366*l - 16 = 0. Solve b + l*b = -3*v - 3, 4*v + 4 = -b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 340*s**2 + 1263*s + 107366. What is p(-85)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70562142 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/11, 6\/462268013 in decreasing order.\nAnswer: 2, 2\/11, 6\/462268013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o. Sort -5, -1, o.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arcarrvvvrvvv. What is prob of picking 1 a, 1 c, and 2 v?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276 and 5575192?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*k + 2*d, 14 + 2 = 4*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttdtdptdxxtxxxdtvpd.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) 0.3 (c) 9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.239+-7880046.21\nAnswer: -7880046.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-9)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*u + 7 = 0, s + 6 = 3*u - 7. Let j(p) be the third derivative of p**4\/12 + 8*p**3\/3 + p**2. What is the lowest common multiple of j(s) and 39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 8. Let g = -2 - s. What is the third derivative of 6*f**g + 5*f**4 - 2*f**2 - 2*f**4 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x**4 - 40*x**2 + 80\/3*x**3 + 0*x - 4*x**5 + 5\/6*x**6 + 44. Factor t(w).\nAnswer: 5*w*(w - 2)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232308 divided by -56014?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0428 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6424, 12846, 19268?\n\"Answer: 6422*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.016710097 + -18.983290223. Let v = -19.19 + 0.19. Let g = a - v. What is g rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 0 - 14)*(3*n**5 - 2*n**5 + 0*n**5).\nAnswer: -28*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**4 + 194279074*m**3 - 291418618*m**2 + 97139540*m = 0.\nAnswer: -48569770, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 7 + 17 = 0. Suppose 4*p - o - 12 = 0. Suppose p = 4*w - d, 4 = 4*w - 0*d + d. What is the highest common divisor of w and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1111?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 29764*u**3 + 6*u**2 + 8*u - 19. Is o(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i. Suppose i = 2*r - 4*l - 12, -r + 5*l + 33 = -3*r. Sort 4, r, 2 in descending order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 + -62 - (-1 + (2 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 4*o + 12, 4*o + 9 = -4*q + 3*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*j*v**2*z + 59*j*v**2 + 2*j*v - 6*j*z wrt z.\nAnswer: 19*j*v**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 676*k**5\/7 - 89622*k**4\/7 + 2277692*k**3\/7 + 52181408*k**2\/7 - 276834624*k\/7 - 151172330\/7 = 0.\nAnswer: -17, -1\/2, 5, 943\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -42. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 221 = w. Suppose 61 = s + 6*u - u, 4*s - w = 3*u. Calculate the remainder when s is divided by (-3 - -1)*(-38)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6685 + 6692. Solve -p*w + 3*w - 3*d + 7 = 0, 4*d - 14 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-693))\/((-52)\/(-364)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214581, -214590, -214599, -214608, -214617, -214626?\nAnswer: -214635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4832 is divided by 374?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 11) in base 5?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1185*g**2 - 5941*g + 15. Give t(-5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 - -6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*l**3 - 8*l + 8*l + 173*l**3 + 55*l**2 as q*l + b + o*l**2 + r*l**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/60 and -19\/13212.\nAnswer: 66060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6257 (base 8) to base 13.\nAnswer: 162a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/53, 1\/3, 1.22 in descending order.\nAnswer: 1.22, 1\/3, 2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**12*q**(-29))**(-2\/5))**(-7\/5))**(1\/21) assuming q is positive.\nAnswer: q**(-34\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from tgkgkgglgf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -569*j**2 + 28452*j + 4. Calculate a(50).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 4*b**2 - 9*b + 9. Suppose -18*p = -15*p - 18. Let y be i(p). What is the tens digit of y\/2*128\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-11 + (11 - 6))) + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose -s*z = -z. Suppose -2*k - 2*p + 34 = z, -k = -0*k - p - 21. What is the remainder when 36 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1867 - 1891) + 88 + -3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 - -1*24\/(156\/(-13)) is divided by (2 + -1 + 1)*10.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16167*r + 15836*r + 1986 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11588255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 7*f**2 - 3*f - 17. Let k be c(-7). What is the first derivative of 9*a**2 + a**2 - 17 + 2 - k wrt a?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8*2226840\/(-3615).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**4\/8 - f**3\/3 - 2*f**2. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 7*a - 4280 = 0. Is a\/(-16) - 3\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 342970?\nAnswer: -342968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -2045, -4782, -8673, -13730, -19965?\nAnswer: -27390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w**5\/7 - 1902*w**4\/7 + 3828*w**3\/7 = 0 for w.\nAnswer: -319, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2483033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01376067339 and -939.\nAnswer: -938.98623932661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4218 - 67491\/16. Sort 2\/15, 6, v, 5 in descending order.\nAnswer: 6, 5, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubucgggggbbbuccuob. What is prob of sequence ubg?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 88 = 20. Suppose 28 - 117 = -2*c - s, -4*c = 5*s - 169. Let i = l - c. What is the greatest common divisor of i and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-20)\/14)\/((-3)\/(-35)) and (-192)\/(-9) + (12 - 18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = -8*u - 163. Let n = -24 + u. What is the highest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 5, o: 1, b: 1, w: 3, j: 4}. Give prob of sequence ojbw.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -141. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 8, 50, 122, 230, 380, 578, 830?\nAnswer: 1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(0 + ((1 + sqrt(147)*5)**2 + sqrt(147))*3).\nAnswer: 1386*sqrt(3) + 66168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50337.521 take away -1023?\nAnswer: -49314.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3534008\/7035 + -32806\/67. Let w = -88\/7 + d. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -507\/5. Which is smaller: 19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2878 - 2871. Let y(f) = 3 - 3*f**2 - 9*f - 9*f + f**3 + 10. Does 14 divide y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -69*k - 29. Let r(o) = -55*o - 29. Let x(d) = 4*a(d) - 5*r(d). Give x(38).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 108, 374, 896, 1758, 3044?\nAnswer: 4838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -34268, 0, 0.2, 61 in increasing order.\nAnswer: -34268, 0, 0.2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*sqrt(567)*2)**2 - (sqrt(567)*-1 + 4 + (sqrt(567) + -1)*-4).\nAnswer: -603*sqrt(7) + 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from uouoeeouuu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*p**4 + 70*p**4 - 11*p**4)*(-3 + 3 - 2).\nAnswer: -244*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7874989*w**2 + 11*w - 14. Let b(x) = 5249993*x**2 - 7*x + 9. Let l(c) = 8*b(c) + 5*o(c). Let v be l(-2). Round v to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480 divided by -580?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*n + 5273 = 1659 - 1307 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 31 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Solve 2*u + 15 = 5*c, -3*c + 9 = -0*u + s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 275*d**2 + 5*d - 275.\nAnswer: -5*(d - 55)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 212777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 565449759 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 50 = -3*c. Let h = c + 17. Solve 4*u - h*u - 5*j = 19, 0 = 4*u + 5*j + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 2*x**2 + 8*x**2)*(-2*x**2 - x**3 + 2*x**2 + (-3 + 4 + 1)*(0 - x**3 + 0) - 2*x**3 - 3*x**2 + 3*x**2).\nAnswer: -30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -315 - -1564\/5. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a factor of 6737610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -23?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33625?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -70147845 times 0.4?\nAnswer: -28059138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 33, 69, 117?\n\"Answer: 6*p**2 + 6*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**4 + 24203022*y**3 + 9*y**2 + 3995871*y wrt y.\nAnswer: -72*y + 145218132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 16. Suppose j*d + 0*d - 268 = 0. What is the remainder when d is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-16)*-4 + 2. Suppose 3*g = -f + 826 - 158, 0 = -n*g + 4*f + 1119. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 0, -2 in decreasing order.\nAnswer: 4, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105114.\nAnswer: 2, 3, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 + 50*u**3\/9 - 56*u**2\/9 - 104*u\/9.\nAnswer: 2*u*(u - 2)*(u + 1)*(u + 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505906 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: Let y(x) be the third derivative of x**6\/60 + x**5\/30 - x**4\/12 - x**3\/3 + x**2. Let d be y(2). Let g be ((-2)\/4)\/((-1)\/d). Solve 4*u - u = -g, u = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*u - z - 30, 5*u + 3*z = 43. Suppose j - 5*j = -u. Calculate the smallest common multiple of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22493 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77\/3 - -25. Sort 0, a, 2 in ascending order.\nAnswer: a, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1619, 1633, 1647, 1661, 1675?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-48)*(4\/2)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (-20 - ((-6 - 16) + 50)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2036653*t**3 - 1716558*t wrt t?\nAnswer: 12219918*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169 = 238*b + 9*b + 313 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/4 + 20\/((-12160)\/968). What is the third biggest value in 3\/4, d, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*h**2 - 19*d*h - 5*d - 2*h - 7 wrt h.\nAnswer: 2*d*h - 19*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61453.\nAnswer: 7, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -2\/3, -83?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose k*a = 4*z - 188, 2*z = -a + 12 + 74. Let t = -24 + z. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - -4)\/((-9)\/15). Suppose -6*c = 8 - l. Solve 4*k + 2*m - 12 = -0*m, c*m - 4 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183929, -367864, -551799?\nAnswer: -735734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -14*h**5\/5 + 16*h**4\/5 + 2364*h**3\/5 - 3544*h**2\/5 - 64222*h\/5 + 1848 = 0?\nAnswer: -12, -5, 1\/7, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19448745 and 1245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/37884 and 59\/1236642?\nAnswer: 17312988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*c - 264, -l + 6*c - 7*c = -80. What is the least common multiple of 24 and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -318, 2, 13109 in descending order.\nAnswer: 13109, 2, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 24, 81, 172, 303?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlql when four letters picked without replacement from lqql.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*m**3 + 182*m**3 - 84*m**3 + 772*m**3.\nAnswer: 747*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-405)*1*(-168)\/(-784)?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + 0.29. Let r = 0.7 + 0.3. What is the nearest to 1\/4 in t, r, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 42. Let u = 2 - h. Let j(a) = 5*a**2 - 2*a - 2. Let d be j(2). Calculate the greatest common divisor of u and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3487032 is divided by 213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:07 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2880 + -4680. Round u to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -3660965.\nAnswer: 4\/522995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -11. Let c = w + -14.03. Let u = -2681 + 2692. Do c and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516337355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12749 (b) 5 (c) -0.2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 6. Let z be (s\/(-9))\/(3\/(-9)). Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.066, 0.1, -0.5, -3 in decreasing order.\nAnswer: 0.1, 0, -0.066, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 134 - 25)*(2 - 2*h - 2 + (1 - 2*h - 1)*(0 + 2 - 7)).\nAnswer: -1752*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 11. Let z be l(4). Solve 2*u + 3*r - 6 = 1, -2*r = z*u - 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300834823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13908 and 102724?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -5*x - 4 + 2, 0 = -5*x + v - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 3*b**2 + 4*b + 7. Let c be v(5). Let d = c + -26. Suppose g - 6*g - 4*z + d = 0, -g + z = -3. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -18*r + 66 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221*r**3*u**2 - 1263*r**3 - 1720*r**2*u - 71709*r*u**2 - 3*r wrt u?\nAnswer: 442*r**3 - 143418*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m**6 - 1\/1848*m**8 + 0*m**4 + 0*m**3 + m**2 + 0*m**5 - 1\/1155*m**7 + 0*m + 0. Factor p(c).\nAnswer: -2*c**4*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.1 (c) 429\/3266 (d) 1\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - (-3 - -4))*1. Let o be 48\/20*220\/b. Find the common denominator of -145\/6 and 6\/(-16)*o\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(5) - sqrt(55)\/sqrt(99)) + -1 + sqrt(125))**2 - ((sqrt(180)\/sqrt(9) - -6*((sqrt(10)\/sqrt(2))**2 + sqrt(5))) + 3).\nAnswer: -194*sqrt(5)\/3 + 6973\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 9 = b, -2*z + 3 - 24 = -5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 47, 108, 183, 266, 351?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 2, g: 1, q: 6}. Give prob of picking 2 b and 1 q.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4250839*q**2 - 2985*q - 995. Let z(j) = 8553*j**2 - 6*j - 2. What is -2*u(n) + 995*z(n)?\nAnswer: 8557*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeieieei. What is prob of sequence ieei?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let q be ((1 - 6)\/d)\/(-1). Let w be ((-90)\/75)\/((-12)\/(-5) + -2). Sort 0, q, w in decreasing order.\nAnswer: q, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8764573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*s**3 + 55*k**3*s**3 - 1253*k**3*s + 455*k**2*s**3 + 59*k**2*s**2 wrt k?\nAnswer: 48*k*s**3 + 330*s**3 - 7518*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. Let z(d) be the second derivative of -5*d**4\/24 + d**3\/3 - 10*d**2 + d - 33. Let v(j) be the first derivative of z(j). What is v(w)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -200, -175, -140, -89, -16, 85?\n\"Answer: z**3 - z**2 + 21*z - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28, -47, -52, -37, 4, 77, 188?\n\"Answer: h**3 + h**2 - 29*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203484?\nAnswer: 2, 3, 31, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4 + 4928888*t**3 - 4928880*t**2 - 4928888*t + 4928884 = 0.\nAnswer: -1, 1, 1232221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8410 is divided by 250.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 6. Let f be m(-6). Suppose f = -2*q + 9 + 1. Suppose -5*w + 29 + 40 = 4*u, -2*u + q*w = 3. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 248 = 2*w - 6*w + 275, -2*d = -4*w + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:28 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-63) - (-6)\/9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 g when three letters picked without replacement from oaagy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Let g(u) be the third derivative of u**7\/2520 - u**4\/6 - 2*u**2. Let p(v) be the second derivative of g(v). Determine p(f(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (6 - (1 + 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 - 49*w**2 - 110*w + 23. Determine i(-13).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34924.652 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let k(v) = -3*v + 13. Let s(c) = -2*c - 1. Let f(b) = k(b) + 4*s(b). Give -2*f(n) + 18*y(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-54 - -10 - -11) + (-1 - -7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -125270 (base 11) in base 6?\nAnswer: -4121243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**2 - 22*w**2 - 144*w**2 + 6*w.\nAnswer: -140*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -4, -0.3, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 369*v**2 - 268*v**2 - 10 + 4 in the form h*v + o*v**2 + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5, 313737?\nAnswer: 313737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5373278*j**2 - 2*j + 6090257.\nAnswer: 10746556*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1104 and 71\/2392.\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315139 is divided by 571.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6592645 and 11723.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7484505 divided by 152745?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/18, 3, -0.9, -26.8.\nAnswer: -26.8, -0.9, 1\/18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {m: 1, g: 3, z: 1, a: 5, y: 4}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*h - 5*h - 4918 = 0, 0 = -5*d + 2*h + 12295. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -86\/45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3 - 4*u**2 + 5*u**2 to n*u + y + i*u**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - 4*p**4 + 3*p**4)*(-71 + 0 + 4).\nAnswer: 67*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 2. Let m be t(-2). Suppose y = -m*y + 20. Let q be (-106)\/(-34) + (-1 - (-45)\/51). Solve q*u + 0*g - 3*g = -18, 4 = y*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161166 is divided by 816?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 474 - 387. Solve b = -18*n - 39 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*o = y - 3, 2*o = -4*y + 14. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22527 - -22531. Let b(g) = 2*g**2 - g - 43. Calculate b(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -2.8. Let v = 1289 - 1344. Is v at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1450 and 1325.\nAnswer: 76850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81419 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkmn when four letters picked without replacement from mkrnpkkpkpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235450 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 49578 = -34*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 j when three letters picked without replacement from {o: 1, i: 1, f: 4, m: 1, n: 1, j: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1514019, 3028044, 4542069, 6056094, 7570119, 9084144?\n\"Answer: 1514025*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 6326.\nAnswer: -47\/3163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171072 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 4)*(-3)\/4. Let g be (2\/x)\/(4\/(-18)). Solve -g*z = -6*c + 2*c + 6, -4*z = -3*c + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:57 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 35?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -31?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 - (-255)\/25. Let j(t) = 6*t**3 + 2*t**2 + 2*t + 1. Let x be j(-1). Let m = x + v. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.729 + -0.331. Let d = v + 0.052. What is d rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 94. Let z be d(-24). Suppose -22*m = -21*m - z. Solve m*c - 6 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*x**3 + 28*x**3 + 29*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092885?\nAnswer: 5, 23, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 5*c + 102, -87 = -174*c + 179*c - 4*t for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3667416356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -95, 2\/19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 66*b - 136.\nAnswer: (b - 2)*(b + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = -4*q, 4*b + 20 = -5*q - 0*q. Suppose 3*a + q*a = 147. Calculate the remainder when a is divided by 0 + 2 - -15*(-1)\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3048 and -113\/2540.\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:25 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37130304389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1122633100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801043087 to the power of 1\/2, to the nearest integer?\nAnswer: 52925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5136 is divided by 1925.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let v(k) = -2. Suppose 55 = -11*b + 6*b. Let s = b - -9. What is s*w(o) - v(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100) + 3 - sqrt(1100) - (sqrt(1100) - ((sqrt(1100) - (2 + sqrt(1100) + 2 + sqrt(1100))) + sqrt(1100) - sqrt(1100)))) + -2 + -3 + 5)**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 7:25 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/66 and 39\/77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59721912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*b = -173*b - 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249311 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/195*(-5)\/(-5)*(-450)\/45.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 149 = l, 113 = 3*d - 2*l + 3*l. Suppose 2*z + d = -10. Let f = 43 + z. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/8 + 7*r**3\/2 - 79*r**2. Let w be u(-3). Solve -w*h = -15*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5772\/134879 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -102, -4, 17 in ascending order.\nAnswer: -102, -4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*t + 11*t - 9*t + 297 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -73 (b) -223\/5 (c) -0.3 (d) 2\/11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.00613 (b) -2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 q when three letters picked without replacement from {g: 3, p: 7, q: 9}.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92192587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3 + 3)*(4*u + 2*u**2 - 4*u) + 492*u**3 - 2745*u + 1 + 2745*u.\nAnswer: 488*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3014 = 30*r - 19*r. Let z = 1364\/5 - r. What is the biggest value in z, -2\/5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2089, -16386, -55137, -130570, -254913, -440394, -699241?\nAnswer: -1043682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let h(r) = 3*r**2 - r - 9. Let m be h(-5). Let o(i) = -15*i**2 + i**2 - 71*i + m*i. Calculate x(o(s)).\nAnswer: 392*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -65*y - 3317. Give o(-51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33606113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01318 + 0.09508. Round t to three decimal places.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0*x)**(-47)*x**(-15\/4)*x**(-1\/8) assuming x is positive.\nAnswer: x**(-783\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7204622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + ((4 + sqrt(128) + 5)**2 - sqrt(128)))*2 + (5*3*sqrt(128))**2 + -3.\nAnswer: 288*sqrt(2) + 29215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 - -169. Suppose -4 = -2*w + n. Solve -2*d = w*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 2. Suppose -f - 825 = 2*g, -218*f + 416 = -g - 222*f. Let h = g + 412. Calculate u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -z + 18, 0*z = 4*p - 3*z + 10. Let f be p\/22 - (-12165)\/55. Round f to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, r: 3}. What is prob of sequence eer?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.01946093639 - 1.01946. Round a to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, 0, 1, 23, 5, 3 in decreasing order.\nAnswer: 103, 23, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*j**3*s**3*z + 44*j**3*z + 84*j**2*s**3*z - 2*j**2*z + 10*s**3*z - 2*z wrt j.\nAnswer: -270*s**3*z + 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 63578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127198671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d - 24*d - 6*d - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29428124?\nAnswer: 2, 11, 668821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o - 4*o + 2*o. Let u = 11 - 9. Let r(c) = -c**u - 3*c**2 + 7*c**2 - 2*c**2. Calculate a(r(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 + 440. Let r = -428 + n. What is the least common multiple of r and 3?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 112. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -26 - 6 - 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/24)\/(-1))\/(1*120\/(-32))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 2*t + 10, -39 + 35 = -2*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 3*u = 9, -2*y = -5*u. Suppose -4*a = -y*s + 24, 7 = -a + 3*s - 6. What is the biggest value in a, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 7, 3, -3 in descending order.\nAnswer: 7, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2344, 24111, 68198, 129917?\n\"Answer: 8816*k**2 + 7*k - 11167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.017 + 0.01699905. What is d rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90472 is divided by 1921?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (370724 + -1)*(19 - (40 + -22)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4465*a**2 - 17 + 29 - 27 + 15 + (-a + 5*a - 3*a)*(a - 2*a - a).\nAnswer: -4467*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(220)*-3 - sqrt(220) - sqrt(220)))\/(1*sqrt(275))*-5.\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14132586 divided by -34554?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -264559 and 10.\nAnswer: -2645590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -1 + 4, 0 = 3*c + 2*o + 26. Let u = c - -42. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70133865 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 25*j**2 - 3*j + 4. Let p(x) = 6*x**2 - 2*x + 1. Calculate 2*p(h) - r(h).\nAnswer: -13*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 2*k. Determine f(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*j**2*k**2*w + 643*j**2*k*w + 56333*j**2*w - 3*j*w + 2*k**2 wrt k?\nAnswer: 12*j**2*k*w + 643*j**2*w + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 49. Suppose j = 2*i - 11*i + 27567. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 631 + -630.999999593. Round j to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1195390478453 + 0.4.\nAnswer: 1195390478453.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 69783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001753 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 + 20*v**2 + 318*v\/5.\nAnswer: -2*v*(v - 53)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0259 - 0.2811. Let u = d - 0.093. What is the biggest value in -0.2, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3572 divided by -2\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104243*p**5 - 11048*p**2 - p wrt p.\nAnswer: 6254580*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1702*w + 238136 = -5302*w for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 4*d - 128 = 0, 0 = t - 3*t - 13*d + 9*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.23 and 0.8734079.\nAnswer: 0.6434079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -9522, 0.042, 1?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*4155.89.\nAnswer: 3324.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - i + 2*i)*(-4 - 3 + 3)*(-i**2 + 2*i**2 + 0*i**2) + i**3 - i**3 + i**3 as o*i**3 + u + f*i + a*i**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*f + 21 = -5*f, 5*q - 5*f - 25 = 0. Solve q*m = 2*x - 2, -5*x - 2*m + 5 = -0*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 5494.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 7*i - 5. Let r be a(5). Suppose -3*g = r - 41. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -18*b**2 + 1. Let m be x(-1). Let t = 22 + m. Suppose 943 = t*g - 2002. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**8\/5880 + b**7\/980 - b**6\/420 + b**5\/420 + b**3\/3 - 3*b**2. Let o(p) be the first derivative of v(p). Factor o(m).\nAnswer: -2*m*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23217471779\/1287 + 18039995. Let a = -1\/858 - b. Let o = 3742 - 37383\/10. Calculate the common denominator of o and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24519 = 29*s - 23823 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/6 - y**4 - y**3\/6 + y**2.\nAnswer: y**2*(y - 6)*(y - 1)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 50472?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 2:36 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -179, -88, 351, 1312, 2969, 5496?\n\"Answer: 29*w**3 - 112*w - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1\/61, 1.06, 3, -0.01, 4, -115?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 4 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -39833000 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -232, -225, -204, -163?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 20627321.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = 0, n - 485 = -5*t + 20. Suppose -4*v - 3*k + 607 = 0, 0 = -v + 2*k + 38 + t. Is v a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 576952 divided by -1759?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9))**(-29)\/((((q\/(q**(-4\/5)*q))\/q*q)\/q)\/q)**(-2\/91))**(-10\/9) assuming q is positive.\nAnswer: q**(-79162\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:41 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(448))**2.\nAnswer: -48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*l + 29, c = 4*c + 15. Suppose -100 + 28 = l*j. Let y = j + 174. What is y rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3638*s - 418367. Give y(-115).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59693*y**2 + 3040 wrt y?\nAnswer: 119386*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueeuuueueuiluu. Give prob of sequence eil.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190629 - -190633. Suppose -5*a - 26 = 2*n, 0 = 2*a + 2*n + 14. What is the fourth smallest value in a, -0.4, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.557? (a) 0.02 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -10. Which is the closest to -0.1? (a) s (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138718 divided by -1613.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4241.8 + -4242. Which is the biggest value? (a) -3 (b) w (c) 4 (d) 2 (e) -144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*o - 7. Suppose o*p - 8 = 1. Find the second derivative of 7*d**4 - p*d**4 - 3*d - 5 + 5 wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 - -250. Let a(p) = 6*p**2 + 3*p - 2 + 2. Calculate the remainder when a(n) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/44)\/(4\/((-32)\/4)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25512764?\nAnswer: 2, 379, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w. Let r(u) = -7*u - 1. Let o(f) = 5*i(f) - 3*r(f). Determine o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgtggggggtgggttggg. Give prob of sequence gtgt.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 1965 - 1965.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*d**3 + 562*d - 562*d)*(-10*d - 15*d - 37*d) + (-d**4 - 2*d**3 + 2*d**3)*(4 - 3 + 1) to the form g*d + w*d**4 + n + h*d**3 + l*d**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 36. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 1, y: 1, l: 2, p: 1, m: 2}. What is prob of sequence xm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1071655)\/(-15) + (-4)\/2. Let a = i - 8142485\/114. Let q = a + 66\/19. Calculate the common denominator of q and -79\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 2 = 0. Let c(q) = q**2 + 4*q - 5. Let v be c(-6). Let o = -4 + v. Solve -r + u + o = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 10463800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 + 0.07633561?\nAnswer: 0.02033561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*(-24)\/32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbuhhuibhuhn. What is prob of sequence buih?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9195, -9261, -9433, -9765, -10311, -11125?\n\"Answer: -9*v**3 + v**2 - 6*v - 9181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**3 + v**2 + 70*v - 22. Is 20 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let u be m(-3). Let w be (-3 - (-1 + 2))\/u. Let t be ((-2)\/3 + 1092\/1404)*(0 - -45). Which is the second biggest value? (a) t (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*(1 - 10 - -10). Let d be (2\/(-7))\/(1 - 3). What is the third biggest value in f, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831*n**3 + 4*n**2 + 762*n**3 - 4*n**2.\nAnswer: -69*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066 - 107374364782?\nAnswer: -107374365848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 91876, 91847, 91790, 91699, 91568?\n\"Answer: -g**3 - 8*g**2 + 2*g + 91883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.194.\nAnswer: 1.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {r: 4, z: 1, h: 2, x: 2, a: 1}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13954302 divided by -18?\nAnswer: 775239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12981, -12983, -12985, -12987?\nAnswer: -12989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9709, 19390, 29069, 38746, 48421, 58094?\nAnswer: 67765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 11*k - k**2 + 585*k**3 + 3 + k**2.\nAnswer: 585*k**3 + 15*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**3\/i**(5\/2))\/(i**(-2\/5))**(-2\/51))**(-45))**(1\/6) assuming i is positive.\nAnswer: i**(-247\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 693 + 10148 = -5*l, 4*l = -8. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/630 + 19*b**5\/20 + 2*b**2 - 23*b. Let r(i) be the third derivative of x(i). Let a(z) = -19*z. Give a(r(f)).\nAnswer: -152*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8*t - 16. Let g = t - 2. Find the second derivative of -2*a**2 - g*a - 4*a**2 + 4*a**2 wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 34*v - 59*v + 171 + 4*v. What is the remainder when 314 is divided by x(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 102005*m - 101979. Calculate z(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -58. Let a = -1 - -7. What is the lowest common multiple of a and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13522, 13458, 13350, 13198, 13002, 12762, 12478?\n\"Answer: -22*d**2 + 2*d + 13542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -233*r**2 - 488*r + 489. What is b(1)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -12. Suppose 5*i - 64 = -o. Calculate the smallest common multiple of (-3)\/(0 - (-3)\/(-9)) and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 4. Let c be w(-3). Suppose 0 = 5*x - 3*x - c. Let q = 7 + x. Solve -q*u + 10 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6 and 68\/549?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/4)*a)\/a*a)**9*(a**(2\/5)*a*a)**35)\/((a**(1\/2))**(-41)*a**(-6)*a*a*a**(1\/6)) assuming a is positive.\nAnswer: a**(1543\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f. Let c be k(3). Let d = c + 0. What is the greatest common factor of 60 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.4226 - 2031.1.\nAnswer: -1995.6774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*h = -157*h + 1760. What is the second smallest value in h, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 2:52 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*h**3 - 2*h**2*m**3 - 75*h*m - 2*m**3 + m**2 wrt h.\nAnswer: 156*h - 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j + 2. Suppose -3 = -2*h + 3*y - 5, h - 2*y = -2. Let l be 0 + (16\/2)\/(-2). Let v = l + h. Calculate b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 = -14*t - 239. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {f: 2, i: 2, w: 1, l: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 666620 divided by -666620\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*1*(-8)\/(-48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -23. Let r = 7 + -6. Let u be ((-4)\/(-1)*4)\/r. Calculate the greatest common divisor of k and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102098 + 531*z - 102147 + 204245.\nAnswer: 531*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 3. Let n be u(-6). Let l = 900 + -1877\/2. Calculate the common denominator of n\/22*(-136)\/(-6) and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5323 - 250?\nAnswer: -5603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -11262911 at least -11262909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39242 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6099, -6518, -7243, -8274, -9611, -11254?\n\"Answer: -153*j**2 + 40*j - 5986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2253 and -614.65.\nAnswer: -1384806.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 521040?\nAnswer: 521032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = 2*x - 149 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 1, 55, 0, 26, -5 in descending order.\nAnswer: 55, 26, 1, 0, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - s - 10. Let o be w(3). Solve -p = -o + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 16*f**2 + 14*f + 18. Determine t(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2 - 4)*-176*-3. Let t = 86 + m. Suppose -l = -2*l - 5. Put l, t, 3 in decreasing order.\nAnswer: 3, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.1 and -4.70821 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 352.71 times 3663\nAnswer: 1291976.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 0*j**2 + 5*j**2)*(123*j - 59*j - 52*j + 8).\nAnswer: -24*j**3 - 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-52))\/((-107)\/(-26429)*19))\/(3\/(-212))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -1\/105*y**7 + 0*y**4 + 3*y**2 + 0*y**3 + 0 - 1\/60*y**6 + 0*y**5 + 0*y. Factor j(o).\nAnswer: -2*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71382, 71216, 70936, 70542, 70034?\n\"Answer: -57*y**2 + 5*y + 71434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -156761800 rounded to the nearest 1000000?\nAnswer: -157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((112\/(-400))\/(60\/8 + -8)))\/(-1)\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**3\/3 - c**2\/2 - 10*c - 32603. Let i(v) = v**3 + 1. Let t be i(-1). What is q(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133222 (base 5) to base 16\nAnswer: -153d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 7, -40, -123, -254, -445, -708?\n\"Answer: -2*t**3 - 9*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*u = -4, 0 = 2*d - 15*u + 14*u - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3166*i + 3106*i = -2400 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2. Let h(s) = -2*s**2. Suppose 0 = 3*g + 2*v - 20, 4*v - 10 = -2*g - g. Let c(m) = -m**2. Let n(w) = g*c(w) - 3*h(w). Determine n(a(r)).\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1043 - -7.6857. Let j = -7.8 + u. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 4 + 2*u + 1. What are the prime factors of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 equal to 194783\/1644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77) + (sqrt(77)*-1 - sqrt(77)))*-1)\/(4*sqrt(49)\/(sqrt(7)*2)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 915.9324kg?\nAnswer: 915932400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2844)\/702 - 30) + 34?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21521 (base 9) to base 12\nAnswer: -8317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17103254 plus -43926040?\nAnswer: -26822786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)*q*((q**10*q)\/q)\/q*(q**(-14)\/q*q)\/(q\/(q**(-11)\/q)) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 1.1\nAnswer: 14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000513847 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -1, -188, 1.\nAnswer: -188, -6, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 6084?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 - 1. Let t be w(1). Let b = 0.08 + 0.01. Let m be 114\/(-1197) + 26\/(-21) - -1. What is the second smallest value in b, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yggif. Give prob of sequence gyfg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 635893891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1688, -0.338, 0.5 in decreasing order.\nAnswer: 1688, 0.5, -0.338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174\/35 - 32\/7. Let o = -575 + 626.4. Let v = o - 53. Which is the second biggest value? (a) v (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 19*g**2 - 7*g + 7. Let y be q(4). Suppose -6*o + a = -o - y, 0 = 5*o - 3*a - 279. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 954, 3058, 5162, 7266, 9370, 11474?\nAnswer: 13578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10011011101 (base 3) to base 5\nAnswer: -3441313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*y = 15, 59*j - 60*j = -y - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 6 - 513*h + 0 - 691*h - 4 to i + v*h and give v.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2770640 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0194737 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*s + g - 85, 0 = s - 5*g + 7. List the prime factors of ((-13)\/4)\/(4\/s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-35))\/((5496\/(-10076))\/((-2)\/(-11))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttjjttttttttttt. What is prob of picking 2 t and 1 j?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -102130300223?\nAnswer: -102130300223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 1457130950 + 1457130950.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u*u\/(u*u\/u**1)))\/u))\/u)**(3\/16)\/((u*u\/(u*u**2*u))\/(u\/u**7)) assuming u is positive.\nAnswer: u**(-61\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, v: 2, u: 2, d: 3, s: 6}. Give prob of picking 1 d, 1 k, and 1 v.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*x - 113*x + 244*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 12. Calculate d(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1714 and 0.09?\nAnswer: 1713.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 2. Let p be c(2). Let q be (p\/2)\/((-4)\/110). Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:56 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4730 = 4*p. Let h(b) = 14*b**2 + 8*b - 25. Let k be h(7). Let s = p + k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -1\/35*b**5 - 8\/7*b**2 + 2*b + 1\/21*b**4 + 0 + 8\/21*b**3. Let g(j) = 0. What is j?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v + 10*v - 11*d + 16, 0 = -4*v - v + 3*d + 87 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**31*w**(1\/4)\/w assuming w is positive.\nAnswer: w**(121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-72))\/(9922\/295856)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53709 = -4*q + 3*l, 43410 = 5*q + l - 23712. List the prime factors of q.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (37 - 39)*2\/58. Suppose 0 = -k - 0*k + 1. Which is bigger: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 2. Let z be t(0). Let i = -2\/12573 - -4193\/12573. What is the third biggest value in i, -4, z, 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330429 is divided by 2581?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 - (-111 + 29 + 66).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625386 is divided by 208166.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 1)*(2*w**4 - 4 + 4) + 182*w**2 - 2*w**4 - 3 - 182*w**2.\nAnswer: 10*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let a(h) = -h - 3. Let w be a(-5). Let s(l) = -l + 2*l - w*l. Determine s(p(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 143\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27902, 27903, 27908, 27917?\n\"Answer: 2*v**2 - 5*v + 27905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1097211 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q = 147 + 297. Which is bigger: q or 264\/25?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 41 - 25 + 32 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1220 - -1230000?\nAnswer: 1231220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49230, 49238, 49268, 49332, 49442, 49610, 49848?\n\"Answer: 2*i**3 - i**2 - 3*i + 49232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3323 - -3970. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3785\/828 - -163\/36. Put 11, b, 4, -1\/4 in ascending order.\nAnswer: -1\/4, b, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 0.031268?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 7*i - 1. Let s(p) = -1. Let n(f) = l(f) - 3*s(f). Let r(y) = 3*y**2 + 14*y - 5. Calculate -5*n(q) - 2*r(q).\nAnswer: -q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272624 + 273016. Suppose -20 = 5*k, 2*k = z - 13 - 17. What is the lowest common multiple of z and w?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 148, 160, 188, 238, 316, 428, 580?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -723*z**4 - 934*z wrt z.\nAnswer: -8676*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -20. What is the units digit of 6\/c*15\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 8:10 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m = 51*m - 99 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -9. Let a(b) = -62*b - 24. Let o be a(r). Suppose 5*j = 5*t - 255, 4*t - 2*j = 40 + o. What is the lowest common multiple of t and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**4\/24 + 5*h**3\/3 + 1037*h**2. Calculate j(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-420)*(-32)\/24?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11656 by 103.\nAnswer: 11656\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b**2 - 54*b + 2058. Calculate q(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 + 21*f**2 - f - 35. Let z be h(-5). Put -8, 4, z, -1 in descending order.\nAnswer: 4, -1, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.13 and -116.\nAnswer: -115.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792906 is divided by 146?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 5*g**4 - g**2 + 2*g**3 - 289419*g + 289433*g in the form d*g**2 + v*g**3 + a + o*g**4 + c*g and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/2 - 755*s\/2 + 1128 = 0. What is s?\nAnswer: 3, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmwfumuwbuebuw. Give prob of sequence buuf.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3053 + -1120453\/367. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 8:02 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**3 + 2*x**2 + 562335*x - 95973245 wrt x.\nAnswer: 12*x**2 + 4*x + 562335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 65688 divided by 14\nAnswer: 4692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 19. Let j be z(10). Suppose j = 4*r - 7. Suppose 364 = r*h + 2*h. Calculate the highest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 3*x**2 + 4*x - 1. Let h = -16 - -12. What is y(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:06 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxxfxxxx. What is prob of sequence fxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -21*q + 449. Suppose 0 = -2*k + 10, 0 = -4*i - k + 10 + 11. Solve h - q = -i*u, -5*h - 2*u + 20 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10591664 is divided by 8160?\nAnswer: 8144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times 2998356?\nAnswer: 5397040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 4*h + 44, 301206*h = -5*d + 301208*h + 22 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (158\/2)\/(1\/(-1)). Let j = 162 + q. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422324 (base 8) in base 15?\nAnswer: -2b96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 66469 + 1991449. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*s - 12 = 0, q = -5*s - 81 + 82 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuruhuuhbyyku. Give prob of sequence khy.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b - 37 - 17*b + 25*b + 2*b - 4*b + 4*b - b + b - 2*b - 2*b + 2*b - b + (2 - 2 - 2*b)*(-4 + 2 + 4).\nAnswer: -7*b - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*c + 15 = -f, 2*f + 24 = 4*c. What is the units digit of 66\/2*(-2)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, i: 2}. Give prob of picking 2 a.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 5*k - 5. Let b be i(-1). What is the highest common factor of b and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x + 29. Let j be t(-7). Let g = 79 + j. What is the third derivative of -23*v**2 - 7*v + 7*v - g*v**4 - 2*v**4 wrt v?\nAnswer: -456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(10*t**3 - 8*t**3 + 29*t**3).\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 11*z**2 + 2*z + 10. Let p be a(-11). Let h = 12 - p. Calculate the highest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 2*i**2 - i. Let z = -2 + 3. Let o be s(z). Let h = 44\/5 + -9. Is o less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 5*v**2 - 37*v + 26*v + 9*v - 33*v = 0 for v.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) 41 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338059054?\nAnswer: 2, 1459, 115853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 - 133*a + 159. Let b(q) = -q**2 - 33*q + 35. Calculate 9*b(k) - 2*o(k).\nAnswer: -k**2 - 31*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1552)\/(-6) - (-390)\/117. Let k = 105 + -176. Let f = k + s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90870 (b) -1\/10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/9 and 41\/173713596?\nAnswer: 521140788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.84 * 1568.\nAnswer: 1317.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(10)\/sqrt(2)))**2 + (2 + 0 + sqrt(5) + sqrt(5) - sqrt(5))**2 + 1 + (2*sqrt(20))\/sqrt(4).\nAnswer: 6*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-10))\/(1\/2295)*156\/78 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10301 + -2?\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 8*f + 9. Let p be v(10). Let y = p - 31. What is the remainder when 47 is divided by (-35)\/y + (-2)\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**8\/10080 - s**7\/720 + s**6\/270 + s**5\/45 - 79*s**3 + 36. Let t(z) be the third derivative of r(z). Factor t(k).\nAnswer: k*(k - 4)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 145 and 140.\nAnswer: 20300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 11146523?\nAnswer: -11146524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836589, 1673154, 2509705, 3346242?\nAnswer: 4182765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -149 + 503. Let z = 2069 - 2134. Let p = z + k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.03, -2\/85 in ascending order.\nAnswer: -2\/85, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357248968?\nAnswer: 2, 127, 227, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4765 - -4784. Solve 0 = -l*f - 19*f + 76 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q + 17*q + 226047*q**3 - 48*q - 42*q - 226049*q**3.\nAnswer: -2*q**3 - 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*z = -76 + 1028. Let v(d) be the second derivative of -2\/21*d**z + 0 + 2*d + 0*d**2 + 2\/5*d**5 + 0*d**3 + 0*d**4 - 2\/15*d**6. Factor v(p).\nAnswer: -4*p**3*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144610 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: Is 4128824 < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 98 = 3*y - 0*y, -y = -2*h + 30. What is the tens digit of (-1235)\/y + (-6)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 16) to base 8\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q - 1. Let o be z(1). Suppose 0 = 6*r - o*r - 24. Let f be 4 + -5 + (9 - 8). Solve -3*g + 4*a + r = a, f = -4*a + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/40461 and 62\/22695.\nAnswer: 306087465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -40\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1168 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11 - 10*i + i + 10*i + 0*i. Calculate t(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j**4 - 2520*j**3 + 42402*j**2 + 29112*j + 4899 = 0. What is j?\nAnswer: -1\/3, 23, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 - 3267*y - 3. Let k(i) = -9*i**2 + 6531*i + 5. Let j(q) = 3*k(q) + 5*n(q). Let w(a) = a. What is j(w(g))?\nAnswer: -2*g**2 + 3258*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + 0 + 970\/90. Let d = -2.96 - 0.04. Let j = -4 - d. Which is the smallest value? (a) j (b) r (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(270\/(-48)))\/(2\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 13*u**2 - 10 + 47 - 10 + 0.\nAnswer: 13*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3200634?\nAnswer: 2, 3, 23, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18098 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 191*y**3 + 4*y**2 + 107 + 2*y**2 + 8*y.\nAnswer: 191*y**3 + y**2 + 8*y + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let n = 1527.2 - 1527. Which is the second smallest value? (a) 0 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 23 = 2*y, i + 2 + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*l - 11152 = 23764 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 97.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let c(t) be the first derivative of -t**3 + 7*t**2\/2 - 58. Calculate g(c(n)).\nAnswer: 3*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -7) + (3 - (4 + -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/3*(4 + 2). Let s(d) = d - 5. Let t be s(-5). Let q(m) = -m**2 - 11*m - 9. Let c be q(t). What is the highest common factor of c and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4137628 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r + r. What is the third biggest value in 6, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.54 + 0.34. Which is the nearest to 0? (a) 1\/219 (b) -1\/9 (c) u (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1806?\nAnswer: -361.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159408 is divided by 10626?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2 + 6, 2*r = 3*x - 12. What is the common denominator of (-37)\/(-10) + 3 + r and -93\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/(-14) + (-9)\/(-63). What is the units digit of (55\/f)\/((-105)\/504)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.89788062 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (48 - -1)*(24 + -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 29\/4, 463?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 63*w - 670. Calculate z(-67).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*b = 4*g - 99290, 5*b + 49639 = g. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.321? (a) -10 (b) 0.03 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from {w: 7, q: 4, k: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1495010476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 90*h**2 - 17304*h - 735. Determine p(-94).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + 69 + -69\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*g = 650*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*m = -2*f - 112, -4*f + 199 = -3*m. Let c be ((-437)\/(-76))\/(21\/20 - 1). What is the greatest common divisor of f and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1144143?\nAnswer: -1144144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2964 and 547538732?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, f: 5}. Give prob of picking 2 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/2 - (-4)\/(-8). Let w(y) = -14*y**2 - 82*y - 4. Let n be w(a). What is the greatest common divisor of n and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9081112 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(33\/(-132))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, 1, 2\/641?\nAnswer: 2\/641","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 47862 - 14112. Let n(y) = p - 5625 + y. Let r(g) = -22*g. Determine r(n(c)).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 2 = -6*n. Is 30\/165 + (-898)\/(-22) + n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15061.\nAnswer: 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-27438)\/255)\/((-2)\/5).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.016001704 - 0.016. Round a to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 0*i - 2*i + (-20 - 4 + 11)*(-3 + 3 + i) - 5*i + 2*i + 0*i)*(5*i**2 - 2*i**2 - 2*i**2) as a*i + j*i**2 + b*i**3 + m and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350948 and 10192.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r. Let z(k) = 24*k - 2. Calculate z(u(m)).\nAnswer: -192*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 262.781 to 0 decimal places.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10920)\/(-336))\/((-1)\/(-78)) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 + 132 - (6 - (-1 + 3) - (5 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 23.9. Let g = -0.072 - -4.172. Let n = g - 3.3. Put 2, 3, n, i in descending order.\nAnswer: 3, 2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 1. Let i = 19 + -26. Let a = 2 - i. Suppose 15 = -3*f + a. What is j(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*q**3 + 111 with respect to q.\nAnswer: 414*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000095674 rounded to 7 dps?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-49)\/(y**(4\/7)\/(y\/(y*y\/(y**6\/y*y)*y))) assuming y is positive.\nAnswer: y**(367\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 701983 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -722.32657 - 16.09443. Let k = 738 + i. Round k to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 3. Suppose -196*h + 214*h = -18. Let x(o) = 3*o + 7. Let d(y) = -2*y + 5*y + 10 + y. Let f(s) = 5*d(s) - 7*x(s). Calculate h*m(i) + f(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 95.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 43\/264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1534*i - 33427. Calculate x(-23).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = -3*k, -5 = -4*m + 5*k - 13. Let i be (m*27)\/(9\/(-6)). Let u = i + -18. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854*-0.25.\nAnswer: -213.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 21*p = 0. Let h(i) be the third derivative of 0*i**4 - i**2 + 0*i + p - 1\/15*i**5 + 1\/2*i**3. What is the derivative of h(j) wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.49 - 37.49. Let g = k + 37.5. Which is the nearest to -9? (a) -1 (b) 2\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 3*r + 2. Suppose -4*c + 784 = -4*l, 9 = c - 5*l - 179. Let z = c - 201. Let d(k) = -k**3 + k**2 + k + 1. What is z*d(m) + j(m)?\nAnswer: 3*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*j + 8, 0 = 5*y + 4*j - 23 + 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 242320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7587.0000025567 + 7587. Round s to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1040 + 1045. What is the common denominator of v and 1\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(500) - sqrt(400)\/sqrt(5).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1389 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 1\/4 (c) 0.2 (d) 4\/233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:51 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 4*i + 15, -8*i + 4*i - 2*j + 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:32 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320494*x + 519*x**2 - 4 - 18*x**3 - 1320494*x + 15*x**3 + 4.\nAnswer: -3*x**3 + 519*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k + 5*k)*(-8*k - 4*k + k + 53 + 5*k + 378).\nAnswer: -42*k**2 + 3017*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1687*f - 1747*f = -3531*f + 1164 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1493979\/65 + 22985. Let l = b - 4\/13. Sort l, -8, 0.1 in descending order.\nAnswer: l, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4368 = 97*n - 1913 - 703. What is the smallest common multiple of n and 42?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/27 - -2\/189. Let i = 3.2 + -3. What is the smallest value in g, i, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*g + 37*g = -119 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + r + 4 = f, -r - 4 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 8 = 4*v - 2*v, v - 4*r = -16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(6)\/sqrt(2)*3 + ((sqrt(6)\/sqrt(2) + 1)**2 - sqrt(3))*-4.\nAnswer: -12 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1833 and 135915.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156806*q*s**3 + 43188*q*s**2 - s**2 wrt s.\nAnswer: 940836*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2412, -4762, -7116, -9468, -11812, -14142?\nAnswer: -16452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, -4 in increasing order.\nAnswer: -13, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1634*q - 1558. What are the prime factors of k(-6)?\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2. Let v(h) be the second derivative of 149*h**4\/12 + 7*h + 110. Calculate v(s(m)).\nAnswer: 5364*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11110567931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -641*y - 20760 + 19415 - 42*y - 8203 wrt y?\nAnswer: -683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {q: 4, d: 3, b: 3, f: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -16. Suppose -7*i = -s*i - 272. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1136622 - -31?\nAnswer: -1136581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -3a7?\nAnswer: -3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -1\/30*m**5 - 18*m**2 - 3\/20*m**6 + 0*m**3 + 1 + 1\/24*m**4 + 0*m. Give y(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 15, 3, -3, 208, -4, -2.\nAnswer: -4, -3, -2, 3, 10, 15, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5097462 + -4715151708\/925. Let y = z - 16\/25. Suppose -3 = -2*f - 5*x, 2*f - 2*x = -0*f - 4. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:02 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 63. Suppose 7*z - 4*j = 3*z + 20, 0 = -p*z + 4*j + 25. Suppose 0 = -i + 17 + z. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-98))\/((-1560)\/(-140) + -11). Let d = 0.25 - 0.05. Which is the nearest to -3\/4? (a) o (b) d (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.311 + -0.011. Which is the fourth biggest value? (a) 5 (b) s (c) -38 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48427.\nAnswer: 79, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-620)\/558*72\/(-15)*(-18)\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/160 - i**5\/80 - 7*i**2. Suppose c(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*a = -84*a - 752 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000066592465 rounded to seven dps?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -38. Let u be i + 846\/10 - 30\/(-75). Let p = u + -51. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 = w - 4*z, w = 3*z + 5. Factor 1\/4*t**w + 0*t - 1\/4*t**3 + 0.\nAnswer: -t**2*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 23 = -4*a + 2*x, 0 = 2*a + 2*x - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -44 - (-57 - -83).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6266 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -31 + 4 + 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -723*b**4 + 2*b + 330.\nAnswer: -8676*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/315?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 6*r**2 - 54*r - 300. Calculate v(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 4, i: 1, n: 1, p: 1}. Give prob of picking 1 p and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64732 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 -0.00288789 rounded to five dps?\nAnswer: -0.00289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4790 less than -4789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(57)\/sqrt(3) + sqrt(95)\/(-1*sqrt(5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/195)\/(3\/(-234)) - -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-30)*(1 + 1 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675482463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a = -1236 - 2202 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -13 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2127373, -2127347, -2127321, -2127295, -2127269?\n\"Answer: 26*h - 2127399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-2\/5)*(r*r**(-1\/3)*r)**0)**(-2\/177) assuming r is positive.\nAnswer: r**(4\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62118946*a**4 - 141422199*a wrt a?\nAnswer: 745427352*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 4*f**4 - f**4 + (2*f**2 + 4*f**2 - 5*f**2)*(f**2 + 0*f + 0*f) - 9064 + 9064 - 558*f**4.\nAnswer: -556*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21627 + 55796. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -82*l - 17. Let h be g(-7). Let o = -340 + h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1638*n + 4718. Give x(3).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21438 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(5\/(-54)))\/((-1)\/((88\/66)\/2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/3)\/(-1)*3. Let y be (4\/14)\/((-3)\/(-21)). Suppose s*l + l + 80 = 5*h, 2*h + y*l - 44 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6381 times 1?\nAnswer: -6381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -33450\/11?\nAnswer: -33450\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164851372?\nAnswer: 2, 7, 19, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**3\/3 + 3*r**2 - 57*r + 266. What is the tens digit of k(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 + g**4\/12 - g**3\/2 - 16*g**2. Calculate f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175700 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(((b*b**3)\/b)\/b)*b*b\/b**1*(b\/b**(-6))\/(b\/((b\/(b\/(b**(-8)*b)))\/b)) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2441*s**2. Let h(w) = -w**2. Give h(x(m)).\nAnswer: -5958481*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197 - -307. What is the highest common divisor of c and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m - 69*m - 32 = 0. Solve m*n - c - 6 = 0, 3*c - 9 = -15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (11 + -52)) + -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1.95 (b) 2 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6 - (-102 - -92) - (-16 + -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/12 (b) 1\/9 (c) -0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 1, s: 2, v: 2}. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007771 to 7 decimal places.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(((92\/(-36))\/23)\/(3\/9)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -0*h. Suppose -3*q = 2*q + 35. Which is bigger: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (5 + 0) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x**3 + 2. Let w be l(-2). Let f = 187 - w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a = -44*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + -5 - (39 + -74)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 739*h + 732. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 50. Let n(w) = 2*w**2 + 49. What is -6*j(y) + 7*n(y)?\nAnswer: 2*y**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(14*(-63)\/(-36)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -492 + 473 + -14 + -1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161 or 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1692112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 155021414 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2702260, 5404505, 8106750, 10808995, 13511240, 16213485?\nAnswer: 18915730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 8?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -125350*r + 455. Is q(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from ieceeeiieei.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 3, 2*z - 4*k = 12. Solve 10 = -4*p + z*q, -5*q - 3 = 2*p - 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 54*h**2 - 300*h - 33. Calculate w(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/25*((-33488)\/828)\/(-182).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/3 of a hour?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 1796*v\/3 - 2985.\nAnswer: -(v - 1791)*(v - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 4*v**2 + v + 0*v + 0*v**4 - 2*v**4 + v**4 - 2 in the form p*v + o + i*v**4 + g*v**3 + m*v**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2124*r**2*z**2 + 747*r**2 - 234*r + 2475*z**2 - 1 wrt z.\nAnswer: 4248*r**2*z + 4950*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/15*o**2 + 112\/15 - 52\/15*o = 0. Calculate o.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 24, 4 in decreasing order.\nAnswer: 61, 24, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1784 and 32780108?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -258 + 254. Suppose 21*i - 16*i = u*h - 156, 0 = i + 4. What is the remainder when 36 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 93*x**2 - 44*x - 96. What is l(46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184399600 divided by 3.\nAnswer: 1184399600\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 19*v - 2. Let c be w(-10). Suppose -6*r + c = -50. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**3\/2 - 24*u. Let v(z) = 8*z**2 + 187 - 187. What is x(v(d))?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-96)\/(-2016))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 5:13 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54985, 55609, 56237, 56869, 57505, 58145, 58789?\nAnswer: 59437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814663589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(136\/208)*(-4)\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 1. Suppose 4*u + 3 = -1. Let f(b) = -40 - 23*b + 44 + 18*b. Give u*f(m) - 2*w(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.399 times 1026\nAnswer: -2461.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t. Suppose w - 23 = -t*w. Let q = w + -14. What is the greatest common divisor of q and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**3 - 13*i**2 + 8*i - 10. Let n(l) = -7*l**3 + 14*l**2 - 7*l + 11. Let a(z) = -2*n(z) - 3*s(z). Let t be a(10). Solve -x = -3*x - t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 * 202.8\nAnswer: 7909.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855644?\nAnswer: 2, 17, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-1 - 1 + 0) + (-2 + 1 + 0)*(9 + 0 + 9))*(-f - 3*f + 5*f)*(-64*f**2 + 714*f - 714*f).\nAnswer: 1024*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v. Let n(o) = -12*o**2 - 2531. Give m(n(d)).\nAnswer: 84*d**2 + 17717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5210 + 7346. Let q be ((-1)\/(-2))\/((-2)\/64). Is 2\/(-4) - t\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 - 1 - (2 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -19, -9, -0.1, 5 in descending order.\nAnswer: 5, -0.1, -9, -19, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 14*d = 54. Let r be (12\/((-180)\/(-35)) - -5)*3. Solve r*w - d*w = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1261 + -1166. Let k(x) be the first derivative of -4*x**2 + 1. What is the remainder when p is divided by k(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.73225 and 738?\nAnswer: 737.26775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15850064 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {v: 3, s: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 7. Let j be p(-5). Let i(f) = -12334*f + 2. Let l(b) = 12334*b - 2. Let n(a) = 4*i(a) + 5*l(a). Let v be n(j). Round v to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 14*t**2 - 13*t**2 + 68*t**2. Let r(i) = 2*i**2. Calculate r(c(n)).\nAnswer: 9522*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:05 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203746*n**4*u + 11*n**4 + 19*n**2*u + 4*n**2 + n*u - 265*n - 56*u wrt n.\nAnswer: 4889904*n*u + 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1746 divide 42165900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -615621*b**3 - 21*b - 396?\nAnswer: -3693726*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + 23?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 5*y**2 + 11. Let p(s) = 4*s + 46. Let f be p(-11). Let z(n) = -n**3 + 5 - 15 + 9 - 3*n**f + 7. Determine 6*j(v) - 11*z(v).\nAnswer: -v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4358*u + 64548 + 44402 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 12*g - 22. Let f be t(-9). Suppose -4*r = -f*o - 8*r - 695020, -5*r = -4*o - 555975. Round o to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2685*t**4*w - 43928*t**3*w**3 + 5*t**2*w**2 - t**2 - 15471168*t*w**3 wrt t.\nAnswer: -64440*t*w - 263568*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76378 and -1.\nAnswer: 76378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 718.758 and -93106.\nAnswer: -92387.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35368357 rounded to the nearest ten thousand?\nAnswer: 35370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*v + 221 - 113 = -263, 112 + 155 = 3*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84596872 - 818897719113\/9680. Let v = 2\/605 - l. Let f be 0\/(1 - (-1 + 4)). Does f = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16296 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.088863 to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26765 and 1325.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5726, -11522, -17318?\n\"Answer: -5796*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1893260 and -0.02?\nAnswer: -37865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*t**6 - 6*t**4 + 2*t**3 + 1627930*t**2.\nAnswer: -5160*t**3 - 144*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*j + 28*j + 24*j - 3*j**3 as z*j**3 + a + v*j + w*j**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(8\/((-48)\/(-21)))\/((-2)\/((-16)\/28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*t - 0*t, -2*f = -5*t + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.05 - -2.45. Let t = -22 + i. Let q = 28 - t. Round q to 0 decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n - 51. Let q be s(4). Let a be (-5)\/q - 84\/(-7). Solve -21 - 7 = a*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2560 and 11\/167183360.\nAnswer: 167183360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v. Let x(q) = 3*q + 2. Let n(g) be the first derivative of 13*g**2\/2 + 9*g - 3. Let u(z) = -2*n(z) + 9*x(z). Calculate m(u(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346621 is divided by 6156.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -2.7. Which is the biggest value? (a) 9 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 44. Let q = -2 - -11. Solve -4*o + h + q = 0, n*o - 13 = -5*h + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*q**5 + 68*q**2*r - 21*q*r - 2*q + 11*r - 26 wrt q?\nAnswer: -1680*q**3 + 136*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166659537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 4*j + 4. Let o = -36 + 32. Let q be (114\/(-19))\/((-6)\/o). Let m(d) = -d**2 - 2*d - 2. Give q*c(n) - 7*m(n).\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let x(q) = 209*q**2 - 2*q. Give -3*n(d) + x(d).\nAnswer: 209*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from wrwvwqwqrqoovuqqoowo?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 1. Let v be s(-4). Suppose -94*x + 102*x - 136 = 0. Suppose 11*r - v = x. Which is the closest to -0.1? (a) 2\/79 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -70, -83, -104, -133, -170, -215?\n\"Answer: -4*z**2 + 7*z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.974 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -114*m - 5. Let o be v(2). Let x = o + 349. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270587 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127185 by 61.\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 134.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*m + 169, 536*m = -x + 535*m - 59 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1081, -1080, -1079, -1078, -1077?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + 4*g**2)*(3 - 3 - g**2) + g**4 - 5*g**4 + 2*g**4 + (1 - g**3 - 1)*(2*g + 0 + 0) - 10*g**4 + 13*g**4 + 20*g**4.\nAnswer: 17*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.6965us in nanoseconds?\nAnswer: 461696.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2643553 or 0?\nAnswer: 2\/2643553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - u + 0)*(88*u - 93*u - 4 + 2) in the form h*u**2 + f*u + b and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)\/q)**48)**(-34) assuming q is positive.\nAnswer: q**2040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 878560 and 6358.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/282 + -50 + (-608400)\/(-3666)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15148? (a) -5 (b) 0.2 (c) 55 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12730*k - 63647. Determine p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhvhhhhhvv. Give prob of picking 3 v and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 7*g + 7. Let h be l(6). Let c be h + 25 + (0 - -1). Let p be 2\/(-9) - (-60)\/c. Solve -5*v - 8 - 9 = -m, -3*v - 5 = p*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*g - 25 = -15, -4*v = -3*g + 3. Sort 98, v, -3 in descending order.\nAnswer: 98, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*k + 151*g**3*n**3 + 3*g**2*k*n - k*n**3 - 7*k*n**2 wrt n?\nAnswer: 906*g**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8463117 and 1.\nAnswer: -8463117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Let r = 1 + 6. Let d = 5 - r. What is the third biggest value in 2, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -162 and -476025?\nAnswer: 77116050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - 1) + (226\/(-4032))\/((-152)\/8664) and 89\/112.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*k**4 + 305708*d*k**2 + 3*d*k - 48*d + 69*k - 5 wrt k.\nAnswer: -12*d*k**2 + 611416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - 4*y**2 + y - 2. Let d be r(2). Suppose -5 = -d*t + 3. What is the fourth biggest value in -2, t, -3, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {t: 3, b: 1, s: 1, g: 1, u: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n - 36*n - 4*a = 18, -4*n = 5*a - 30. Calculate the highest common divisor of 4220 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323\/18 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Let m(q) = 24*q - 16. Let f(u) = m(u) + 20*n(u). Differentiate f(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emmemmgmjbmje. What is prob of sequence eg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 26, 0.2, 0.1 in ascending order.\nAnswer: -0.2, 0, 0.1, 0.2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(91)\/(sqrt(7)*-1))**2 + (sqrt(13) - (sqrt(26) - (sqrt(104) - sqrt(26)))\/sqrt(2))).\nAnswer: 3*sqrt(13) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*2 + (-3 - (-72 + 1)). Let q be 39\/2*96\/v. Let j = 29 - q. Solve 4 - j = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354966*g + 1920 = -354934*g for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let n = 401609 + -401609.3. What is the nearest to 1 in n, 0.5, h, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/47517240 and -47\/14360.\nAnswer: 47517240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*h*p**2 + 81*c**2*p**3 + 2*c**2*p**2 - h*p**3 - 14*h wrt p.\nAnswer: 486*c**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/50*-80*(-23)\/(-3404)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbbb when four letters picked without replacement from {g: 2, d: 1, n: 9, b: 7}?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -3. Suppose 0 = 14*t - 81 + 11. Which is the nearest to y? (a) t (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5)*y)\/y)\/y*(y*y\/(y**23*y)*y*y*y*y)\/y*(y*(y*y**2*y*y)\/y)**(-8) assuming y is positive.\nAnswer: y**(-301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 38. Let y be (-72)\/14*s\/(-4). Let p = y + 90. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 15 = -3*p, 0 = -2*c + 4*p + 10. What is the fourth biggest value in c, -0.1, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-135)\/(-20))*(-6)\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -913.4 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7118 is divided by 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*w - 60 = 5*r - 78, 0 = -27*r + 4*w - 24 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1258 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000864 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 3*m + 1. Calculate b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23200 - 10?\nAnswer: 23130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3864*g**2 - 275*g?\nAnswer: -7728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:45 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 607644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1056*m + 1057*m - 11250. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 55965122\nAnswer: -2\/27982561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) - 23\/20. Let i = 0.057536 + -0.157536. Sort i, c, -2\/9.\nAnswer: c, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 11*m + 2*m**2 - 31*m**3 - m + 14*m - 28*m**3 to the form y + i*m + v*m**3 + x*m**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.24 - 58. Let t = m - 1.91. Let y = 1.6633 + t. Round y to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -4*c**3\/3 + 39*c - 1. Let j(y) = -5*y. Give j(h(r)).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 57, 188, 455, 906, 1589, 2552, 3843?\nAnswer: 5510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 1 (c) -110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**7\/14 + 2*q**6\/5 + 3*q**5\/10 - 3*q**4 - 9*q**3\/2 + 944*q. Determine c so that n(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/25)\/((-10)\/(-200)*-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25724, -30247, -34770, -39293, -43816, -48339?\nAnswer: -52862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21115560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = 107*t + 8*t - 250. Let x(u) be the first derivative of 8\/11*u**t - 2\/33*u**3 + 16 - 32\/11*u. Suppose x(y) = 0. Calculate y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reer when four letters picked without replacement from rsesserpgpespspepsrq?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2977 = -3*r + 2*d + 13922, -18251 = -5*r + 2*d. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792052.6l in millilitres?\nAnswer: 792052600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*w - 15, -4*g = -3*g. Let a(u) = 3 + 2*u + 7*u + u**2 - 15 - u**3. Is a(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 4. Suppose -5*v + 6 = -4. Let y(q) = -q + 2. Let u be y(v). Let o = u + 6. Let m(s) = 2*s + 9. What is o*m(l) + 14*a(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:54 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3 = d. Let r(b) = -b**3 - 3*b**2 + 3*b - 2. Let q be r(-4). Let v = 597 + -595. Solve 0 = -d*f + q*f + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732476?\nAnswer: 2, 183119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 + 29*w**2 - 131*w - 661. What is j(-3)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.04, 1.8, -0.202 in descending order.\nAnswer: 2, 1.8, -0.04, -0.202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 836986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -j. Let l(g) = g. Let o be l(j). Suppose o*s - 4*s + i = -8, -s + 4 = i. Solve -2*d + 5*w - 6 = s, -4*d = -5*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -43, -53?\n\"Answer: -10*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Let i(u) = -20*u**2 + 15*u**2 - 4 + a*u + 8*u**2. Let q be (-39)\/(-9) - 2\/6. Let r(t) = -t**2 - t + 1. Calculate q*r(c) + i(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(192) + ((2 + sqrt(192) + sqrt(192))**2 - sqrt(192))*2 + 3 + (sqrt(192)*4 - sqrt(192))**2 + 1.\nAnswer: 120*sqrt(3) + 3274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {v: 2, x: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 3*s + 30. Let x = 7 + s. Does 2 divide (27\/(-15))\/x*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q = 17*q + 54. Suppose 3*h - 4*o = 0, h - 4*o = -2 - q. Calculate the remainder when 81 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 395*g - 22175. What is u(56)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 2488*v**3 - 2064210*v**2 + 571784512*v - 569722789.\nAnswer: -(v - 829)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/((-1800)\/16)*1)\/((-2)\/(-50))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(2\/((-10)\/(-1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265924 + -169077. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 10 - -2 - -2. Let o be 3*1*(-3)\/r. Solve -g = 5*f - 13, -4*g - f = -o - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 738 - 95*h**2 + 189*h**2 - 92*h**2 + h**4 - 725 in the form f*h**4 + g + c*h + a*h**2 + w*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1969 - -1981. Let g(a) = a**3 + 11*a**2 + 10*a + 1. Let z be g(-10). Sort -1\/8, b, z in increasing order.\nAnswer: -1\/8, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(9\/(18\/(-8))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6 = 49. What is the remainder when 6 - 3 - (-14 - 0) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g + 589. Determine t(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 75\/1073?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 - b. Let j be s(-5). Suppose 323 = 2*u - m, 20 = j*u + 3*m - 782. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + 8*a - 8*a)*(11*a + 20 - 4*a - 8*a).\nAnswer: -5*a**3 + 100*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 - 5*g - 2. Let n be b(6). Solve n*y + 4*u + 12 = 0, -2*y - 14 = 2*y + 5*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**2 - 1)*(5 + 3 - 3)*((-16 + 0 + 2)*(1 - 3 + 4)*(15 - 15 - 5*o) - 3*o + o + 4*o + (-4*o + 0*o + 2*o)*(1 - 2 + 3) - o + 3 - 3).\nAnswer: 1370*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/4 - 2631*l**4\/2 - 26043*l**3\/4 + 635869*l**2\/2 - 599298*l = 0. Calculate l.\nAnswer: -5257, -19, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 152*l**2 - 5092*l + 31720.\nAnswer: 4*(l - 13)*(l - 10)*(l + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 93*j**5\/5 - 87*j**4\/5 - 99*j**3\/5 + 87*j**2\/5 + 6*j\/5 = 0.\nAnswer: -1, -2\/31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/5, 646529, -3, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 1. Let q(v) = 1. Let p = 191 - 188. Determine p*q(g) - t(g).\nAnswer: -5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w + 132 = 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 155*n**4 + 4*n**2 - 163*n. Let z(l) = -621*l**4 - 17*l**2 + 653*l. Let w(s) = -9*g(s) - 2*z(s). What is the second derivative of w(v) wrt v?\nAnswer: -1836*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 4*b)*(-5 + 1 + 3) + (0*b + 2*b - 3*b)*(-2 + 1 - 2) + 4 - 4 + 3*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.049 and 500618140233.\nAnswer: 500618140233.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286307526157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((-2)\/8*-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*a + 8, -5*a = 2*d + 19 - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (194\/10)\/(10\/(-3450)*-69)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -4\/13, 1\/57, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 316, 16, -5, 135, -4 in decreasing order.\nAnswer: 316, 135, 16, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-52)*18\/(-5). Let z = -4 - -7. Put 1\/3, b, z in ascending order.\nAnswer: b, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53788624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*l - 40 = -4*b, -4*b - 12*l + 9*l - 11 + 67 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 30\/17 (c) 3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3401 + 61203?\nAnswer: 64604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 2 - (0 + 3). Let u = -5 - -8. Which is the closest to 0.1? (a) -5\/4 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose -5*u + 3*u + w = 0. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2590865092 and 2536.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/((-12)\/6)*(1\/(-1))\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -194364787 divided by 7849?\nAnswer: -24763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 418344?\nAnswer: 14642040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 12. Let q(y) = y + 11. Let g(b) = 4*q(b) - 5*r(b). Let d be g(-12). Let m(v) = 3 + 0*v - 3*v + 2*v. Determine m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5 and -125\/2214.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**3 - 6*q**2 + 6 + 3*q**3 + 14*q**3. Suppose 58 = 18*s + 22. Let l(u) = 4*u**3 - 2*u**2 + 2. Calculate s*k(c) - 7*l(c).\nAnswer: -2*c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnrm. What is prob of picking 2 m and 1 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -199 - 20*g + 0*g**2 + 25\/3*g**3 + 0*g**4 - g**5. Solve b(s) = 0 for s.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53673632 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227 + 13*b**3 + 9*b**4 + 2*b**2 - 2*b**2 + 226 - 2*b**2 - 2*b to the form m*b**4 + w*b**3 + l*b**2 + f*b + j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-233030\nAnswer: -23303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 33 (b) 1 (c) 0.02 (d) -0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 - 268. Let h = -34 - q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:35 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7821*k + 7820*k + 7815*k - 39091*k + 7815*k + 7819*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(726)*-1 + sqrt(726) - sqrt(6) - sqrt(6))\/(1*-1*sqrt(2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (354\/(-826))\/(((-96)\/(-28))\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/162 and -7\/993?\nAnswer: 53622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/4 + i**3\/3 + 3*i**2\/2 - 3*i. Let q(h) = -26*h**3 + 10*h + 16. Let g(x) = 3*q(x) - 16*y(x). What is s in g(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 118*i + 115*i + 4 = 0, 6 = 5*z - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49372 is divided by 1496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5\/3, 0.6.\nAnswer: 0.6, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1741*v - 337*v - 19*v. Let h(b) = -b. Determine h(g(q)).\nAnswer: -1385*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-15))\/(-3*2\/30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8614 by 4.\nAnswer: 4307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8989, -17983, -26977, -35971, -44965, -53959?\nAnswer: -62953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85*t + 27*t + 2*t**2 - 52*t)*(5 - 3 + 5) to the form i*t**2 + l + r*t and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 1065 = -32*u. Let m = u + -200. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 7*p. Calculate the remainder when 42 is divided by m(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 857276991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 3 + 1 - -1. Let q be -1 - (j\/(-2))\/(-1). Suppose c = 5*n + 29, q*n = c - 4*n - 30. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 2\/5 (b) 86\/5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -0. Let g(w) = -w**2 - 7*w + 4. Let p be (-14)\/4*(1 - -1). Let s be g(p). Solve 2*u = -s*l + 6*l, k*u = -4*l + 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.26 + -0.84. Let l = -1 - j. Let y be -2*(4\/(-10))\/(68\/(-85)). Which is the nearest to l? (a) 0.4 (b) 0.03 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 2520*j - 591599. Give x(-216).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -113. Does v = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 + 7*j**2 - 10*j**2 + 3*j**2 - 50*j**3.\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 + 0\/1. Suppose n + 0 + z = 0, -5*w + 3*n + 56 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2736) + 2.\nAnswer: 2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 2, b: 1, h: 1, i: 1, g: 2}. What is prob of sequence igb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 43 = -55 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315)\/(-49) - 6 - (17 - 750\/(-35))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*b - 7628 = 3924 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 10 - (-8 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 102, 1\/5, 0, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17839951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -299*w + 301*w - 4. What is the lowest common multiple of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:13 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 10 - 38. Let w = 28 - x. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {a: 5, y: 1, i: 2, k: 6, j: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(1216)) + 0 + -4)**2*6.\nAnswer: -768*sqrt(19) + 29280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/24 + 35*h**3\/3 + 13*h**2 - h - 50. Determine w(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/4 + 25*q**3\/3 - 33*q**2\/2 + 34*q + 68. What is the hundreds digit of m(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3, 1735.3, 3.72 in increasing order.\nAnswer: 1\/3, 3, 3.72, 1735.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3358525 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30957 - 31300 + 62695)*(0 + 2*w**4 + 0).\nAnswer: 876*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 - -90) + (-1 - -2 - (-2 + 76 - 0)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3751, 3731, 3713, 3697, 3683, 3671, 3661?\n\"Answer: h**2 - 23*h + 3773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26*((-20)\/(-4) + -4). Let b = 136\/5 + g. What is the third smallest value in 0, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*t - 560 = -9*v + 103, 266 = 4*v - 2*t for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 - -129551?\nAnswer: 129556.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*k**2 - 2*k + 396*k**2 - 2*k**3 - 198*k**2 + 2 as b*k + t*k**2 + s*k**3 + y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2100 + -3564244?\nAnswer: -3566344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -3 + -32 + 26 + 2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890705, 890448, 890191?\nAnswer: 889934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/4)\/(54\/16). Let m = 147 + -1619\/11. Let z = 110 - 109.6. What is the closest to -2\/3 in m, a, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 1\/6*h**4 + 1\/60*h**5 + 0*h + 1\/6*h**3 + 0 - h**2. Let k be (4\/5)\/((-2)\/10). Give b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Let p(t) = 56*t**2 + 21*t + 21. Let o = 13370 - 13369. Give o*p(v) + 21*r(v).\nAnswer: 56*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299468.638 rounded to the nearest 10000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/210 + g**6\/15 - 31*g**5\/60 + 11*g**4\/12 + 2740*g**2. Factor b(i).\nAnswer: i*(i - 2)*(i - 1)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 6:45 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2. Let l be (3 - 1)*(-7)\/(-2). Let h(q) = -63 + 63 - l*q. Give o(h(z)).\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2465*g**2 - 46842*g - 137. Determine t(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 831402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 + 3*z**3 + 7*z**3 + 3*z**3 - 3*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -27, -29, -31, -33, -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from uvbbuubfubvbvfku.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 663992422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(441)\/(1*sqrt(35)\/sqrt(5)))\/(sqrt(99)\/(2*sqrt(1584))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.8941483 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3477 = 392*b - 664 + 6203 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 183 = 83 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = 2*z. Let l = -3\/4 + 25\/44. Is l < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391\/(-884)*-32 + -14\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 4 (c) -3827 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(3\/(-4)). Let x = 6.8 - 10.8. What is the second smallest value in -2, w, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**3 + 8*i**2 + 3*i - 23. Let x(u) = -3*u**3 + 3*u**2 + u - 8. Let d(m) = 6*b(m) - 17*x(m). What are the prime factors of d(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - r - 1503 = 1927, -695 = -b + 2*r. Calculate the remainder when b is divided by 225.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o*o)**1)**(-3\/10) assuming o is positive.\nAnswer: o**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263847, -527857, -791867, -1055877?\nAnswer: -1319887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 4, h: 1, t: 10, v: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/13, -156 in descending order.\nAnswer: -2\/13, -3, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/14)\/m*m*m**(-21))\/(m**29\/m*(m*m*m\/((m\/(m*m**(-1\/15)))\/m))\/m) assuming m is positive.\nAnswer: m**(-10921\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 6*t**4 - 3*t**3 + 56*t**2 - 12*t - 144.\nAnswer: (t - 4)*(t - 3)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2348 in 0.8, 3\/2, -28\/13, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 706\/7 - 101. Suppose 5*c + 3*l + 32 = 7*l, 0 = -5*c - 4*l - 8. Let f be (-20)\/(-75) + c\/6. What is the third smallest value in 3, f, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/((-84)\/(-45) - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:34 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -73, -6, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1148200284 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22*(6\/(-4) - -1). Let m = -7 - x. Suppose 0 = -19*o + 21*o + 8. Sort m, 2, o in descending order.\nAnswer: m, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 70596 = 2*d. Suppose 602*w - 565*w = d. Suppose -2*x + 54 = -0*x. Calculate the remainder when w is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 50 = 4*j, -12*k - j + 20 = -10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -50?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 6. Let t(y) = 2*y**2 - 8*y + 4. Let z be t(4). Suppose -z*n - n = 100. Let f = -27 - n. Give r(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3173 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = -0*c - 3*c. Suppose 2*z + 3*b - c = 0, 2*z + b - 5*b - 174 = 0. Suppose 0 = -g - 23 + z. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4938945?\nAnswer: 3, 5, 11, 37, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 140 - 630. Calculate the remainder when n is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443637.\nAnswer: 3, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-5*6*(sqrt(1008) + (sqrt(1008) + 0 - sqrt(1008))))**2.\nAnswer: 4536005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (207\/(-92))\/(15\/(-160)). Solve q = 2*j + 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g + 3*n - 30 = 0, g - n = 8. Let d = 13 - g. Let f be (d\/3)\/((-1)\/(-3)). Solve -f*p - 10 - 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.612374? (a) 0.2 (b) 94 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -13629199955134.\nAnswer: -13629199955131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 7461320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 123, 104, 77, 42, -1?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 65)\/7 - 6. Solve 0 = 5*l - 2*y, -5 = 2*y - r*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7907760 and 2268?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + -3)\/(2\/(-4)) + 4008 + 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3112540 divided by -4\nAnswer: 778135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -1\/4*i**4 + 0*i**3 + 0*i + 3\/100*i**6 - 3\/100*i**5 - 1\/350*i**7 + 61*i**2 + 0. Solve c(h) = 0 for h.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104.6 - -105. Which is the biggest value? (a) -3\/4 (b) -5 (c) z (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + d - 1. Let k(f) = 36*f**3 + 16*f**2 - 4*f + 52. Let t(j) = 7*j**3 + 3*j**2 - j + 10. Let n(m) = 9*k(m) - 48*t(m). Determine n(i) - 10*p(i).\nAnswer: -2*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (1 + -5)*1. Let g = -6 + 2. Let f = g + 2. Put -4, f, y in descending order.\nAnswer: f, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 170372.\nAnswer: 33\/170372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -4015977.\nAnswer: 4015977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/5 - 66196*v**3\/5 + 1785306*v**2\/5 + 17460368*v\/5 + 7407904 = 0 for v.\nAnswer: -4, 35, 33071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a. Let j(w) be the second derivative of w**6\/240 - 7*w**4\/12 - 17*w. Let p(l) be the third derivative of j(l). What is p(r(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.33231599?\nAnswer: -1.66157995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.000195 - -42. Round g to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 + 4 = -3*s, -5*s = -u + 7. Suppose -5*v + u*y + 108 = 0, 3*v + 3*y + 72 = 6*v. Calculate the greatest common divisor of v and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g + 18*g + 56*g + 66*g)*(3 + 0 - 2) + 0*g - 2*g + 6*g.\nAnswer: 127*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207913730?\nAnswer: 2, 5, 37, 67, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a**4 + 2*a**4 + 16*a**4)*(-3 + 3 - 2).\nAnswer: -60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2433, -2436, -2443, -2454, -2469, -2488?\nAnswer: -2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*i = -15, 2*h + 2*i + 8 = 4*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*-1*-2*1\/12*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -2\/15, -1\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4165711\/787224 + 2\/98403. Let y = 4\/553 + -25498\/8295. Calculate the common denominator of c and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 100689, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1153*k - 5659. What is b(-5)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 r, and 1 c when four letters picked without replacement from rcoorrtqot.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 6*w**2 - 74*w - 440. What is a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjggjggjgjjjgjjjjg. What is prob of picking 3 g and 1 j?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2085*t + 62*t**2 - 134*t**3 + 2086*t + 2 + 136*t**3 in the form a*t**2 + k*t + l*t**3 + x and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -3*v + 10*l - 9*l, 7*v - 345 = 2*l. Calculate the remainder when 113 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 32, -2, 12 in ascending order.\nAnswer: -10, -2, 3, 12, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 - 14*n**3 - 12*n**3 + 6*n**3 + 5*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**2\/2 + 57*t + 1. Let f(y) = -4710*y + 1570*y + 1573*y + 1571*y. What is f(x(w))?\nAnswer: 4*w + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 43*q**2. Let m(n) = -8*n + 29. Let b(c) = -27*c + 124. Let f(j) = -4*b(j) + 17*m(j). What is f(h(y))?\nAnswer: -1204*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -664 + 39841\/60. Let f(t) be the second derivative of 1\/180*t**6 - z*t**5 + 0*t**2 - 7*t + 0*t**4 + 0*t**3 + 0. Let f(i) = 0. Calculate i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l + 28. Suppose 0 = 6*f - l*f + 28. Calculate the remainder when 5 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6aaa - dd10?\nAnswer: -7266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 101.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9135)\/38367*14\/(-20)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -11. Suppose b*a = -131 + 389. List the prime factors of a.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from bsbyygttubtg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = -2*s + 568, x + 578 = 2*s. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2230432 (base 6) to base 9.\nAnswer: 181802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((-3 - 4484\/(-114)) + -4)?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -909 + 908.99406. Round q to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/1)\/(1\/(-10)))\/((-18186)\/(-1299))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20 and 77\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-372)\/24 + -7)*-50. Calculate the highest common factor of u and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + -2 + -1*sqrt(605) + -2*(sqrt(605) + -1)*6)**2.\nAnswer: -2002*sqrt(5) + 102295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:04 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(1080))\/(sqrt(18)\/sqrt(108)).\nAnswer: 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibc when three letters picked without replacement from {r: 1, a: 4, i: 3, u: 4, c: 1, b: 1}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 3*y**2 + 5*y**2 - 3*y**2 + 0*y**2 + y**2 + (2 - 2 - 14*y)*(345*y + 80*y + 0*y) to p + z*y**2 + h*y and give z.\nAnswer: -5951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = -3*u + 31, -4*u = -5*v. Suppose 0 = -3*o - v*c + 460, c - 318 = -5*o + 426. Let m = o - 93. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -335*k + 1. Let a(c) = -2*c. Calculate x(a(f)).\nAnswer: 670*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-40)\/(t**(-1))**40)\/(t**0\/(t**(-1)*t))**(-11\/2) assuming t is positive.\nAnswer: t**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**3 + 2*t**2 - 4*t - 6. Let u(v) = -8*v**3 - v**2 + 5*v + 7. Let d(r) = -3*f(r) - 2*u(r). Solve d(s) = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q + 2. Let j be g(5). Let f = j - 37. What is the common denominator of ((-101)\/4)\/((-6)\/4) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548774 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w + 26. Let h(u) = -8*u - 17. Let y be 84\/(-10) - (-4)\/10. Let r = 1816 - 1821. Let g(s) = r*o(s) + y*h(s). Differentiate g(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -g - c + 2, -18 = g + c. Let f be 1 - (-1 + g*1). Suppose s + 3*h - f = 0, 3*h + 2*h - 145 = -5*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-25)*90\/(-162)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000093 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 35, 1 in ascending order.\nAnswer: -3, 1, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 52 = -478*t + 480*t, -6 = 3*r - 3*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489 is divided by 359.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19645255, 4 in decreasing order.\nAnswer: 19645255, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v - 18. Let q be (0 + (-290)\/(-25))*-5. Let j = 93 + q. What is the greatest common factor of j and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 - 5*a**2 + a. Let d(h) = 74*h**3 + 45*h**2 + h. Determine 2*d(i) + 18*k(i).\nAnswer: 58*i**3 + 20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -2, -3*r + 2*n - 5 = 0. Let l = -2 + r. Suppose 5*g = -5*p + 31 - 1, 4*p + g - 18 = 0. Sort 2, l, p in decreasing order.\nAnswer: p, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 16815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 4 + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617.447 tonnes in grams?\nAnswer: 4617447000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -1, -5, -7, -7, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -1189.9?\nAnswer: 1183.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003642168 rounded to seven decimal places?\nAnswer: -0.0000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 8*p. Let w be 8279 - (p - (-5 + 5)). Suppose w = 11*d + 6*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -232, -217, -186, -133, -52, 63, 218?\n\"Answer: q**3 + 2*q**2 + 2*q - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466*d + 54890 + 68254 = 0 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 16, 12, 4, -8, -24?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3182 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*v - 26. Suppose 5 = -5*n - 20, -v*s = 2*n - 725. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 137 = 12*k + 319 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1414*t + 220*t + 326*t + 186*t as p*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 + 169*x**3.\nAnswer: -x**3*(x - 338)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -21*b**5\/20 - 5*b**3\/6 + 36*b. Find the second derivative of p(j) wrt j.\nAnswer: -126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -114. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-322)\/(-69) + (-2)\/(-6). Suppose -147 = -u*z + 103. What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.027 and -5?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 5*b = 28. Factor 3*c + 3*c + b*c**2 - 4*c**2.\nAnswer: 3*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133\/2 or -67?\nAnswer: -133\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75385368 and 9623664?\nAnswer: 452312208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/4 + 7*u**4\/4 + 6*u**3 - 3*u**2 - 4*u = 0 for u.\nAnswer: -2, -2\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4204940532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/18)\/(8 - 3395\/435) and -80\/21?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -738253, -738255, -738259, -738265, -738273, -738283?\n\"Answer: -p**2 + p - 738253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626.62 + -6232515?\nAnswer: -6234141.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3692\/568*1\/2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 341233 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.95 + -1.75. Let t = u - 21. Put -4, t, -5 in ascending order.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 8:30 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0513 - -264.412\nAnswer: 264.4633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 20024177\nAnswer: 9\/20024177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -8 + 12 - 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 421798, 421790, 421782, 421774, 421766?\n\"Answer: -8*j + 421806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.831 - -1.531. Which is the nearest to 2? (a) 1\/6 (b) x (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l - 161. Let k(p) = -18*p + 5 - 4 - 4 + 6. Calculate the remainder when k(-5) is divided by f(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.407 - -0.193. What is the nearest to u in -3, 0.2, 1\/12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -879?\nAnswer: 879.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2157 is divided by 468.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - k**2 - 6*k - 7. Let p(o) be the first derivative of 2 - o**4 - 15*o - 2\/3*o**3 - 13\/2*o**2. What is 6*p(z) - 13*q(z)?\nAnswer: 2*z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*m**2 + 125*m**2 - 17*m**3.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000516 rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 61\/4 - (-3)\/(-12). Let x be 3\/c*(7 + -2). Let d = 1 + x. Calculate the remainder when 4 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*z + 272*z + 26*z**2 + 436*z**2.\nAnswer: 462*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/42 - 3\/7. Let f(p) = -2*p**3 + 1. Let i(o) = -o**2 + 12*o - 1. Let l be i(12). Let x be f(l). Sort c, -8, x in descending order.\nAnswer: x, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 195 - 187. Solve n - 44*s + 39*s + 16 = 0, -r = -s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 38 + 1192 + -1209?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 6. Suppose 17*u + 2*t = 15*u, -t = 3. Give o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) 2\/59 (c) -2\/9 (d) 3\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 169*n**2 - 8*n + 3*n**3 - 165*n**2 - 6 + n - 2*n**3. Calculate o(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37417 (base 10) to base 16.\nAnswer: -9229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.75 - 0.15. Let h = -2.1 + n. Let k = 1.3 - h. What is the closest to k in -1\/6, -0.5, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbihvhblhhlhhhihh. Give prob of picking 1 l, 1 b, and 1 i.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-5))\/(9\/(-30)). Let u = 8 + o. Let t(p) = p**3 - 5*p**2 + 5*p - 4. Let q be t(4). Solve 4*v + 3*c + 4 = -q, -u*c = 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -4*c - 4*v, 5*c + 294 + 0 = -v. Let z = 184 + c. What is the highest common factor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3 + 1 = 2*d, 3*d = -3*b - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -4 - (0 - -2). What is the third smallest value in 6, -1, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/((-8)\/1))\/2)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-6) + 4\/(-12) + 3658\/93.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(30\/(-30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/21 and 41\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iayjqyaiiy. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164001 is divided by 40898.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10450 and 3186150?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1826576 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27\/4 + 6. Let p = -397 + 434. Let f = 37.3 - p. Which is the smallest value? (a) f (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15 = 37. Let r = -8 + p. Suppose r*c + 2*a - 59 = 0, -20 = -5*c - a + 37. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -434 and 12?\nAnswer: -5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 20 = -2*l. Suppose -4*h + 2591 = 3*z, -l*z + 1603 + 2746 = -h. Suppose -3*k + z = -184. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w - 13. Let n be l(-5). Suppose 1 - n = -3*d. Suppose p = 1, -2*k + 0*p - p = -11. What is the remainder when d is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-9 + (6 - 4) - -12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.009\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d**3*k + d**3*p + 26*d**3 + 269*d**2 + 1511*d*k**4*p + 2*d*p + 2*k*p wrt k.\nAnswer: 7*d**3 + 6044*d*k**3*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -2. Let s = -2 + m. Let q = 0 - s. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 83*r - 499. Let g be c(-6). Solve 3*f = -4*j + 19, -5*f = g*j - 39*j - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 11*o**2 - 14*o + 5. Let p be 10 + (4 + -4 - 1). List the prime factors of k(p).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -113 - 7 - 3*c**3 - 10*c**2 + 125 - 4*c. Determine f(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 37 + 3 = 0. Solve y = -3*i + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323446 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/131760 and 143\/606096.\nAnswer: 3030480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p + 8. Calculate x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 1:49 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**8\/42 - 68*f**7\/105 - 227*f**6\/60 - 127*f**5\/15 - 119*f**4\/12 - 20*f**3\/3 - f**2 + 755. What is k in t(k) = 0?\nAnswer: -1, -1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (18 - 24) - -9?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1, -3, 5, 58 in decreasing order.\nAnswer: 58, 5, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = -25*h + 27*h. Is h a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -307.5 + 307. Which is the closest to -2? (a) y (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 19705000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/2010 and 59\/90.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = h - 3*h + 50, -5*k = -2*h + 57. List the prime factors of 100\/h + 6\/39 - -870.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ood when three letters picked without replacement from odworrprrrpp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -27*d + 1. Let g be x(-1). Let f = -14 + -1. Let q = f + g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380357 is divided by 95061?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 1) + (5 + -9 - 9) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1435\/1014798?\nAnswer: 1435\/1014798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 725 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4851011 to the nearest integer?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1959541*a. Let p(o) = 3*o - 20. Give f(p(h)).\nAnswer: 5878623*h - 39190820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 - 4*y**4 - 107 + y - y**2 to the form z*y**2 + m + i*y**4 + q*y**3 + j*y and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 82*y + 278. Let q be n(-43). Calculate the greatest common factor of q and 828.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1308*u**2 - 468*u**2 + 1718*u**2.\nAnswer: -58*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 4*p + 2. Let t be o(2). Let y be (-25)\/2 - (-3)\/t. What are the prime factors of (3\/(-6))\/(1\/y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = -74*b + 3520. Suppose -77 = b*g - 77. Solve g*f**4 - 5\/4*f**3 + 0*f**2 + 0*f + 0 + 5\/4*f**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 > 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0 + 10 - 4*s**2 - 2 - 5*s - 3*s**2 - s**3. Let w be f(-6). Suppose -2 = -w*o + 14. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10996 + 2545 = -27*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -40. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = 369 - 1766. Let y = g + -120. Solve 0 = -y*l + 3*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.1. Let u = 5665 + -5664.7. Which is the closest to 0? (a) -4 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96677183?\nAnswer: 4013, 24091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111308 is divided by 451.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by 1.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 331 + 141. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and -0.205617131131.\nAnswer: 0.494382868869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/24 + 225*h**4\/8 + 30375*h**3\/4 - 5*h**2. Factor u(t).\nAnswer: 5*(t + 135)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -385, -397, -409, -421?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*((-25)\/(-10))\/(320\/(-256)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 - -863\/5. Let q = -2.7 + -2.2. Let s = q + 5. Which is the nearest to s? (a) 0.4 (b) i (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/3)\/(f*f*f*f\/(f*f**(-5)*f)*f))**27)**11)**(4\/27) assuming f is positive.\nAnswer: f**(-1144\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4\/2 + 2*u - 41. Let p(z) = -12*z**2. Determine p(w(k)).\nAnswer: -432*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 102*b + 811. Calculate the remainder when l(17) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -42. Solve -2 = p*u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7*g - 3*g = -47, 0 = -5*z + g - 277. Calculate the lowest common multiple of (z\/10)\/(1\/(-2)) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6381 + 8610 + 10870 = 908*d - 8643 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10604100 rounded to the nearest 100000?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 10, -13, 3.\nAnswer: -13, -4, -1, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**28\/((r*r**(-1\/9))\/(r\/((r\/(r*r**(-12)))\/r))) assuming r is positive.\nAnswer: r**(-1106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 158 - 10*k + 6*k**2 - 131\/3*k**3. Find the second derivative of t(z) wrt z.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1188\/21163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 7. Suppose -2*j + 0*j + 12 = 0. Let h = j - -1. Let f = h + -3. Determine p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -136, -133, -130, -127?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 - -43411012?\nAnswer: 43410502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302.45 - -14.\nAnswer: -288.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 9*w + 4. Suppose 0*h + h - 18 = 0. Calculate the smallest common multiple of h and v(-6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + u**2 + 32823 - 73*u - 8518 + 71*u.\nAnswer: u**3 + u**2 - 2*u + 24305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 827625.5 kilograms?\nAnswer: 827625500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 176, -200, 22 in descending order.\nAnswer: 176, 22, -47, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/5 (b) 1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddhtdbbttdettt. Give prob of sequence bh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -404\/1995 - -1\/399. Let q = -5 + 3. Which is the closest to q? (a) 3 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3170619921 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjjjdj. Give prob of sequence jd.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 a factor of 1059051072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -588 + 863. What is the remainder when s is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27190, -108788, -244780, -435166, -679946, -979120, -1332688?\n\"Answer: -27197*t**2 - 7*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5709937073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 - -862. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2791313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, i: 2, k: 3}. Give prob of picking 1 k and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) 2 (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and 1?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, v: 8}. Give prob of sequence jvjj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1460)\/1022 + (-4896)\/(-3339)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 691*x**2 - 13936*x + 1315. Determine u(324).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121932 + -50733. Let k be (21\/6 - 1)*(-1 - z). What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 33. Suppose d = 3*t + 8 + 4, 0 = 4*d - i*t - 32. Let f(n) = n**2 - 5*n + 8. Give f(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 13*r**2 - 694*r - 7902. Calculate z(-11).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6 (b) -1\/2 (c) -0.2 (d) 6\/11 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 11*k**2 - 9*k - 5. Calculate v(-12).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 51)\/((-63)\/28*(-10)\/(-15))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 25. Let x be r(-7). Sort -1, x, -1\/3, 0.1 in increasing order.\nAnswer: -1, -1\/3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22663221 (base 9) to base 11\nAnswer: -625014a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.78638 millennia to centuries.\nAnswer: 717.8638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 20*k**2 + 5. Let t(u) = 2*u**3 + 21*u**2 - 4. Determine 4*l(o) + 5*t(o).\nAnswer: 2*o**3 + 25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -1. Let b = 7.96 + -8. Let g = 2.04 + b. What is the third smallest value in f, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -77103083 and -4.\nAnswer: -77103087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + i**2 - i)*(-1 + 3 + 0) + (-4*i**2 - 2*i + 2*i)*(-1 + 2 + 1) as w*i + x*i**2 + z and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Let l = c - 14. Let r = l + 11.99999993. Round r to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3584\/5 - 312\/5*k - 4\/5*k**2 = 0. Calculate k.\nAnswer: -64, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-24)\/18)*8\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1 + -1)\/1. Let a(g) = g**3 + 8*g**2 + 3. Let b be a(-8). Let o be 5*((-6)\/5)\/b. Is o greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let p(v) = 39174078*v**2. What is q(p(x))?\nAnswer: 1534608387150084*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10425, -20914, -31467, -42084, -52765, -63510, -74319?\n\"Answer: -32*u**2 - 10393*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/6 and -59\/287.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z**2 - 3*z**2 + 7*z)*(9*z**3 + z**3 - 4*z**3) - 90*z**5 + 1257*z**2 - 1257*z**2.\nAnswer: -102*z**5 + 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/871?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 36119493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 270070 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, o: 2, r: 1, e: 1, f: 1, y: 8}. Give prob of picking 1 n, 1 r, and 1 f.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*s = -490*s - 493*s + 5*n + 44, -3*n + 52 = -5*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5385 = -5*o + 5*t, 23*o + 234*t - 238*t - 24809 = 0. What is the lowest common multiple of 83 and o?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 0.4 (c) -0.2 (d) -350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/14*1)\/(5\/7). Let f = -6 - 6. Let w = f + 4. Sort 2, y, w in decreasing order.\nAnswer: 2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 greater than or equal to 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/9)\/(7\/27*(-3246)\/(-3787))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3568 and 14656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 4*r**2)*(-4*r**2 - 13*r**2 + 5*r**2) - 2*r**3 + 2*r**3 - r**4.\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2*o - o - 3*o)*(-2 - 3 + 3)*(3*o + 0*o - 2*o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.428745564 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0017 + 0.0017. Let f = -5 - -5.4. What is the closest to -0.1 in f, -1\/5, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-1) + 0\/(13\/26*8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2 and 3\/46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 45*z**2 - 2132*z + 799. Determine v(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 495629*q**2. Let p(r) = 3*r**2. Give p(c(g)).\nAnswer: 736944316923*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-2) - 5\/1. Let f(w) = 3*w**3 + w + 1. Determine f(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**4 - 10*r - 1949 + 1949 + 15*r**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) -0.01 (d) -1.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 bigger than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011767191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (0 - 0 - (-6 - (-21 + 18)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*l - 6*l + 4*l - l to d*l + c and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6*d = -q - 8, 3*d - 11 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/(n*n\/(n*n*n**(1\/3)*n)))\/(n\/((n*n\/n**(-2\/5))\/n))**(2\/91))\/((n**(3\/5)*n)\/((n*n**(-2\/9)\/n)\/n)*n**(2\/23)*n**6) assuming n is positive.\nAnswer: n**(-806888\/94185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3\/5 + 7419546*v**2\/5 - 10387335*v = 0.\nAnswer: 0, 7, 2473175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 7700, -3 in descending order.\nAnswer: 7700, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(19\/2))**(4\/25)\/((g\/(g*g**36*g))\/(g*g**29*g*g)) assuming g is positive.\nAnswer: g**(1763\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-10920)*-42)\/(1\/(-125))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -554000 to the nearest 1000.\nAnswer: -554000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85368 divided by 4.\nAnswer: -21342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8097 = -3*g - 6747, -4*m + 5*g = -19789. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25937 - 25937.00067054. Round q to 5 dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -112. Suppose 3*s + w = -24. Let f = 115 + s. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22695221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -25553\nAnswer: -21\/25553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 463.695 - 465.6. Let n = -23.905 - -24. Let c = w - n. Are -35 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l - 4. Let v be l - (4 - 9 - 4). Suppose -v*r = -7*r + 4. Solve u + 5*z - 25 = 0, 0 = -r*z + 22 - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2203 - 0?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/(-4))\/3*(-148)\/(-42). Let v = j - 52\/7. Solve -3\/2*y - 1\/2*y**3 - v - 3\/2*y**2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16535 by 25336.\nAnswer: -16535\/25336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 79366083.\nAnswer: 634928664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 147. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 4315 - 4299 + q**2 - 4*q**2 + 3*q in the form x*q + r + i*q**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52576 divided by 6572.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r. Let a(y) = -2*y - 3*y + 4*y + 2*y. What is l(a(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -a + 6, -2*j + 0*a + 12 = 4*a. Suppose 2*q = -q - 5*b + 45, 0 = -4*b + 12. Calculate the remainder when q is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 698535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.1 (c) 1 (d) 0.5 (e) 2\/21 (f) -294\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*u - 53 + 35, 4*f - 63 = -5*u. Solve 4*y + 1 - f = -s, 0 = 2*s + y - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a factor of 159826500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*4\/90*3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4586 + 4587. Put 5, r, -2, -25 in increasing order.\nAnswer: -25, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 885 - 1306 = -4*i, 2*i + 3*j = 1093. What are the prime factors of i?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r - 2. Let b(i) = 255*i - 33. Calculate 4*b(d) - 66*s(d).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67705, -135410, -203119, -270832, -338549, -406270?\n\"Answer: -2*s**2 - 67699*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 >= 46802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 990 = 77*h - 3*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1377) + 2 + -5 - (sqrt(1377) + -2 + 2*sqrt(1377))) + -4 + (sqrt(1377)*6*-1 - sqrt(1377)) + 3)**2.\nAnswer: 972*sqrt(17) + 111573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let d(i) = 308601*i**2. Calculate w(d(a)).\nAnswer: 190469154402*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106016 or -106007?\nAnswer: -106016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 - 0)) + -2 - (-3 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 302*a**2 - 8*a + 3. Is w(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128563 + -128563. Let j = 5.3 + -5. What is the nearest to 0.07 in -0.4, 4, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0227 and -3.8.\nAnswer: -3.8227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.9 - 14. Let u = 1.1 - x. Round u to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + -5 + sqrt(12) + sqrt(3) + sqrt(3))*6*3.\nAnswer: -94 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348839814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14014232 (base 5) to base 15.\nAnswer: 2c047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5044725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*q**2*r + 20*d**2*q**2 - 124*d**2*q*r + 745*d**2*r - 157395*q**2 wrt q.\nAnswer: -4*d**2*r + 40*d**2 - 314790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 705 and 303665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdvd when four letters picked without replacement from {v: 7, d: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0 + 12. Suppose 5 = l*g + g. Let d be 44\/3 - g\/(-3). Calculate the highest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -215 + -76014.44.\nAnswer: -76229.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*g**3 - 145*g**3 + 219*g**3)*(-3 - 2*g + 3) - 3*g**3 - 2*g**3 + 6*g**3 + g**4.\nAnswer: 201*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 9 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137b641 (base 12) to base 3.\nAnswer: -21100000102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q - 11. Let t(v) be the first derivative of v**2\/2 + 12. Let x(r) = a(r) + t(r). Let p be x(-2). Which is greater: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y**2 + 4 - 6*y**2. Let j(l) = -17*l**2 + 11. Let m(x) = 4*j(x) - 11*u(x). Let z(s) be the second derivative of s**3\/6 - s. Calculate z(m(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439569 is divided by 230.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 2 - ((7 - -1) + 47440). Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25 = -10*w. Suppose 4*r - 13 = -w. Suppose r*k + 663011 - 7463011 = 0. Round k to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, 17426, -1, -1\/7, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 15*u**2 + 23*u - 17. Calculate r(12).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 2*s**6\/21 - 36*s**5\/35 + 26*s**4\/7 - 136*s**3\/21 + 6*s**2 - 20*s\/7 + 209. Factor m(r).\nAnswer: 4*(r - 5)*(r - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4690*d**2 + 49*d - 49. Let r(b) = -293*b**2 - 3*b + 3. Determine 49*r(p) + 3*u(p).\nAnswer: -287*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 407\/330 - (-1)\/10. Which is the third biggest value? (a) 0.2 (b) 0.07 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from lllfllllllf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 2.16?\nAnswer: -20.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 115 = 5*v, 0 = 2*p - v + 39 + 3. Let a = -43 - p. Are -23 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 i when four letters picked without replacement from {i: 2, l: 3, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 + 305527600*j - 5834194647610000 = 0 for j.\nAnswer: 38190950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 12*s**2 - s + 15. Let n be f(12). Suppose 3*u - n*o = -12, -o - 4*o = -3*u - 20. What is the closest to u in 1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115485767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m + 3. Let q(o) = 24*o**2. List the prime factors of q(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1807, -1908, -2029, -2170, -2331, -2512?\nAnswer: -2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/9 (c) -6 (d) 2305.31 (e) -2\/3 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -2*r**7\/105 - r**6\/10 - r**5\/5 - r**4\/6 + r**2\/2 - 13*r. Let c(v) be the first derivative of t(v). Factor c(b).\nAnswer: -4*b*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 6776772?\nAnswer: 54214176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 2461?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q + 1. Let h(w) = -w. Let i(f) = 5*h(f) + j(f). Let r(l) be the second derivative of -2*l**3\/3 - l**2\/2 + 19337*l. Determine 3*i(t) + 4*r(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 5. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n + 2*n + n)*(5 - 1 - 1) - 3*n - 4*n + 5*n)*(3*n - 2*n + 5*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = o + 2 - 28, 3*o + 5*j = 86. Solve 6*r = 14*r - o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 169?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6856, -6778, -6684, -6568, -6424?\n\"Answer: o**3 + 2*o**2 + 65*o - 6924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-12)\/(-80)*(-2)\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 2*c - 9*i - 4, -3*c - 6 = i. Which is smaller: -6\/19 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 226 or 2496\/11?\nAnswer: 2496\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1363 and 1711?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 12546?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 3, g: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 e when three letters picked without replacement from emyymyymmyyyymm.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrerjerjzreerjrer. What is prob of picking 1 r and 2 j?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - m + 2*m)*(3 + 4 - 3) - 1856*m - 655*m + 438*m + 20*m as b + s*m and give s.\nAnswer: -2057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2069343 is divided by 2404.\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(2\/(-3)). Let s(x) = -7*x**3 + x. Is 4 a factor of s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44\/3 - -15. Let r be ((3\/(-30))\/(-1))\/(6\/15). Which is the nearest to -0.1? (a) r (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.612 - 480384.\nAnswer: -480383.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 91*j - 15. Let l(n) = 111*n - 19. Let v(y) = -5*l(y) + 6*r(y). Let k(q) = q - 1. Calculate -5*k(f) - v(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, -55, -5, -8, -121 in descending order.\nAnswer: 5, 1, -4, -5, -8, -55, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 1)*(4*l - 5*l + 3*l) + l - 3*l + 3*l)*(652 - 2805 - 807).\nAnswer: -20720*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/4 (b) -1\/2 (c) -15483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 1505, 4213, 8961, 16301?\nAnswer: 26785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225415 is divided by 207.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-9) - (-1)\/6. Let g = 13384.7 + -13385. Sort 1, g, x, -2 in descending order.\nAnswer: 1, x, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1750065km in centimeters?\nAnswer: 17500.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5101 divided by 266.\nAnswer: 5101\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 3 (c) -0.3 (d) 2 (e) 18.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 36*d + 14. Let z(q) = 17*q + 6. Calculate 2*g(n) - 5*z(n).\nAnswer: -13*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 14329 = 2*a, 6*x - 8*x = -5*a + 35833. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znff when four letters picked without replacement from {r: 4, n: 2, z: 1, d: 4, u: 2, f: 6}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 87, -7, 2, 160, 3 in descending order.\nAnswer: 160, 87, 3, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 424016 (base 8) in base 16?\nAnswer: 2280e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 17*v - 5*u + 239911, 0 = 3*v - u - 239899. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 9*p**2 + 8*p + 4. Suppose -5 = h + 3. Let t be s(h). Suppose -t = -4*x - x + 2*i, -4*x - 4 = -4*i. Solve -x*o = -3*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373559797*h**3 - h**2 - 18589985*h wrt h.\nAnswer: 2241358782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 8*o**2 - 9*o + 3. Let j(y) = y**3 + 9*y**2 + 6*y - 10. Let n be j(-8). Let d = 0 + n. Is f(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117045127 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3)\/(4\/2). What is the third derivative of -35*y**3 - p*y**2 + 35*y**3 - y**4 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1759877*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1477*a**3 + 3*a - 3. Let o(l) = -264382*l**3 - 536*l + 536. Calculate 3*o(v) + 536*w(v).\nAnswer: -1474*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -517921755 by -103584351.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160557849 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 4. Let i be v(-4). Let z = i + -2. Solve -4 + z = 3*u + 5*y, 0 = u + 4*y + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 18*g**3 + 10*g**2 - 10. Let l(b) be the third derivative of -b**6\/20 - b**5\/20 + b**3\/2 - 14*b**2 - 3*b. Let j(k) = -10*l(k) - 3*n(k). What is j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + (-5)\/(75\/66) and 23\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.2 + 99.8. Let c = -122 + r. Let b = 0.35 + 0.05. Sort 0, b, c in increasing order.\nAnswer: 0, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12033*p**3 + 3597*p**3 - 178811 + 178811.\nAnswer: 15630*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291554973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10650062858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 27*h - 20 = 0. Let t be 27\/(-54) - 7\/h. Solve 0*i - 5*i - 12 = 2*u, 4 = t*i + 4*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 + 2 - -38) + (-1 - -12)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*i**2)*(83 - 83 - 51*i**3) + (0*i + 2*i**3 + 0*i)*(0 - i**2 + 0) + 2*i**4 - 2*i**5 - 2*i**4.\nAnswer: -106*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163078 or 163077?\nAnswer: 163077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-36 + 30)) + (-1 - 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggw. What is prob of sequence gwg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 39*t - 6. Give a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219663417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 22*w - 250. What is the highest common divisor of 250 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126414 by -126414.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 386923168.245 and 0.26?\nAnswer: 386923167.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 31*v + 84 = 0. Suppose 10 = -5*i + 2*f + 2*f, -2*i + 5*f - v = 0. Suppose 3*r - i*r - 95 = 0. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26344 - -26594. What is the remainder when 1502 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170)*1*6 - sqrt(170)))*-1)\/((sqrt(10) - (sqrt(80)\/sqrt(200) + sqrt(10) - sqrt(10)))*-5).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*y + 38. Does 5 divide (2\/(8\/(-15)))\/(y\/(-192))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 326060 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 401 + -396.37. Round t to one decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63449314 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -463 + -4?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -898*h**4 + 6698*h**2 + 1112453*h - 10.\nAnswer: -10776*h**2 + 13396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2994 divide 660805740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -27*i**3 + 7*i**2 - 10*i - 25. Is f(-6) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.638273 years in centuries?\nAnswer: 0.09638273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**18*q**(-14))**(-2\/13) assuming q is positive.\nAnswer: q**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.168 + 9.832. Let k = -11 + q. Let n = -1\/5 + 17\/35. Which is the third biggest value? (a) n (b) k (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359 divided by -1\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + sqrt(104))*6)\/((sqrt(2) - sqrt(32))*-2).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8078360189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 8 + (-17 - -16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2485 and 3479.\nAnswer: 17395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 1 = -5*g - 4*q, -g + 24 = 2*q. Suppose 3*b + b = g. Suppose -13 = -3*o - b. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92059.78 micrograms in tonnes?\nAnswer: 0.00000009205978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 4:00 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -615 - -644. Calculate the greatest common factor of 261 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*u + 47*u + 50*u + 124 - 154*u.\nAnswer: -2*u + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) - (-4)\/(-60). Let y = -5.18764 - -0.18764. Which is the closest to -0.6? (a) w (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 25 = 4*d, -3*b = -2*d - 5*b - 30. Let o = d - -8. Let x(m) = -23*m**3 - 2*m**2 + 1. Is x(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in 0.3, -17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 528 = 6*r. Let a be 6\/(-4)*(-1096)\/(-24)*r. Let i = a - 2095. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -6 + (3 - -4 - ((17 - 23) + 13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 + g + 1. Let o(d) = 3*d**3 + 14*d**2 - 9*d. Let i(t) = -5*k(t) - o(t). Suppose 28 = 3*q + 10. Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(5\/9)\/(c**0)**8 assuming c is positive.\nAnswer: c**(5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = -2*i, 0 = -2*i - 3*q + 2 + 13. Suppose 3*c + 44 = 4*b, -162*c + 8 = -160*c. Solve -4*v - b - 6 = i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807250059.\nAnswer: 3, 7, 11, 166409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 10) to base 9\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5148*j**2 - 2578*j**2 - 2572*j**2 - 16*j.\nAnswer: -2*j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (0 + 3 + -3). Suppose q*r = j + 23, 0*j - 29 = -4*r + 3*j. What is the remainder when 13 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 223*f - 249*f + 7696. Calculate the remainder when f is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548277 and 47987.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -36108?\nAnswer: 3610a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 393 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 731, 3030, 6859, 12182, 18963?\nAnswer: 27166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/21*6\/6*(-6726)\/19.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679*i - 684*i + 20 = 0. Which is the biggest value? (a) -2\/7 (b) i (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10792 divide 733381152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 5*g + 4. Calculate a(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 778 = 650. Let l = 176 + s. Calculate the lowest common multiple of 90 and l.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -15*s**2 + 1. Let c(d) = 44*d. Give w(c(j)).\nAnswer: -29040*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43178\/2645 less than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 minus -14.6354465?\nAnswer: 14.7254465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7804 and -1.2.\nAnswer: -9364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 1. Let l be a(-7). Suppose -f - 3 = x, 7 = -3*x + f - 10. Put -3, 2, l, x in increasing order.\nAnswer: x, -3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/s**(-5))\/s)*s)\/(s\/s**(2\/11)*s))\/(s**(-4\/3))**(-18) assuming s is positive.\nAnswer: s**(-306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/12)\/((-3)\/(-4)). Let s(u) = -u**2 + 9*u - 5. Let d be s(6). Let l = d + n. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 12, y: 3, o: 2}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 222. Give c(20).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22550.951443 and -0.5.\nAnswer: -22551.451443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1529 and 7183?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 - 7972*i**3\/7 - 7975914*i**2\/7 - 63393408*i\/7 - 94946904\/7 = 0. Calculate i.\nAnswer: -1989, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -13.78. What is j rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134707 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3 = -3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2767946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**3 - 61*v**3 + 34*v**3 + 16*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 1:29 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*h**5 - h**3 + 165*h**2?\nAnswer: -7800*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - (-49)\/(-84). Let r = 1714 - 1713.91. What is the fourth smallest value in r, -3, j, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 50 = -76. What is the remainder when m is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 - 146623552*i - 2687308250137088 = 0. Calculate i.\nAnswer: -36655888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1)))**(-27))**(-21\/4) assuming j is positive.\nAnswer: j**(-567\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-380)\/12) + (-1)\/(-3). Suppose 5*j - 4*d = p, 0 = -2*j + j - 5*d + 23. Solve -3*n - 2 = x + j, 5*n - 5*x - 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*c - 291*c - 18 = 3*v, -3 = -3*c + 4*c + 3*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94641\/42164 + -193\/83. Calculate the common denominator of -29\/112 and g.\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 4230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-12)*4\/10?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 - -3 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(35\/12))\/((-915)\/(-8540)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 39. Let u be m(-14). Suppose 3 = -5*k - 2. Let t be k*2*(-2)\/1. Solve 4*i = -u*f - i + 2, -1 = -t*f - 5*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -5614867?\nAnswer: -5614864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1968 is divided by 337.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 10 (b) 0.4 (c) 0.1 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and (1410\/(-520))\/((-5)\/((-10)\/(-6))).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - n = -18*r + 6, -21 = 5*r - 4*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1258 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16600, 33163, 49726, 66289, 82852, 99415?\nAnswer: 115978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 22. Let o = x - -3. Let i(y) = y**3 + 4*y**2 + y + 4. Let c be i(-4). Solve 2*h = -3*l + 4*l + o, c = -l - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2234 divide 37375742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011 (base 3) to base 14.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - q - 6 = 0, 4*o + 3*q - 3 = -0*q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:15 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3195 and 129804685?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -92*c**3\/3 + 197*c**2 + 5*c + 10. What is the derivative of j(g) wrt g?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -74. Suppose -5 - 1 = -2*h. Put h, 2, j, -4 in descending order.\nAnswer: h, 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23121 + -21?\nAnswer: 23100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 197*t**4\/24 + 644*t**3\/3 + 212*t**2. Differentiate q(w) wrt w.\nAnswer: 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 379018511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4182 and 121074?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5630, -5617, -5604, -5591, -5578, -5565?\nAnswer: -5552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(((o*(o\/(o*o\/o**(1\/7)))\/o)\/o)\/o*o)*o)\/o**26)**5 assuming o is positive.\nAnswer: o**(-740\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + (-35 + (-25 - -53) - (17 - 3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125\/8 - 63\/4. Which is the nearest to 1? (a) i (b) -3 (c) 3\/2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 303\/(-54)*2 + (-88)\/(-396). Is 0.3 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*o + 1948 - 3070. Solve 3*j - 44 = -o*t + 7*t, j + 4 = t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -36?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 + 2. Determine d(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1444294, 5777084, 12998370, 23108152?\n\"Answer: 1444248*n**2 + 46*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6d7 (base 16) to base 10\nAnswer: -1751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cd0 + d4?\nAnswer: da4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*((-1*sqrt(1088) + 3)**2 + 1*(-1 + sqrt(1088))).\nAnswer: -4384 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26117852, 52235699, 78353546, 104471393, 130589240?\n\"Answer: 26117847*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 352 - 377 = -98*c + 189 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 308.5 and -11.5?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + f = -w - 70, -5*w + 185 = -5*f. Suppose -2*q + 163 = 3*m, m + 5*q - w = 17. Is m less than or equal to 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049868+-2835.5142\nAnswer: -2835.564068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m**3 + 6*m**2 - 21*m + 6. Let j(n) = 14*n**3 - 5*n**2 + 20*n - 5. Let u(k) = -5*a(k) - 6*j(k). What is the second derivative of u(b) wrt b?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7347*w**2 + 29346 wrt w?\nAnswer: 14694*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17309 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4671992 and 82999?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 303 - 143. What is the remainder when 106 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281777479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762052.77 nanoseconds to hours.\nAnswer: 0.000000211681325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let d(c) = c. Let r(g) = 4*d(g) - 3*n(g). What is r(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19865759 is divided by 151647.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*y**2 + 12 + 116*y**2 - 165*y**2)*(-5*y + y - 4*y).\nAnswer: -280*y**3 - 96*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 0, 3*b = -3*n + 4 + 8. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25887, -51779, -77687, -103617, -129575, -155567, -181599?\n\"Answer: -q**3 - 2*q**2 - 25879*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f - 19. Let h be w(-2). Suppose 15*c - 1080 = h*c. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.06 - -0.06. What is the closest to 0.1 in u, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 25225 + 1441 = 146*i. What is the remainder when 576 is divided by i?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 45) + (6 - -2) - (2 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 3*u**3 + u**3 + 0 + u**3 + 0 + (2 - 2 + u)*(-3 + 3 - 2*u**2) + 2*u**3 - 1 + 2 - 2.\nAnswer: 5*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104573865?\nAnswer: 3, 5, 11, 633781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)\/sqrt(20))**2 - (sqrt(637) + 1)) + 3 + (sqrt(1300) + sqrt(1300) + 0 + -3 + sqrt(1300))**2.\nAnswer: -187*sqrt(13) + 46857\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 272 = 10*o. Calculate the greatest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**2*l**3 - 1541*f**2*l + f*l**3 + 5*f*l**2 + 5*l + 328 wrt f.\nAnswer: 30*l**3 - 3082*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 27. Let a be t(-12). Suppose -a*i = i - 16. What is the remainder when i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose 5 + 13 = b + z*w, -5*w + 22 = b. Let s(i) = 5*i**b - 4*i**2 + i + i**3 - 4*i + 3. What is s(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaaaazzzzooazz. Give prob of sequence zaza.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1216*c + 9*c**3 - 12*c**3 + 2*c**3.\nAnswer: -c**3 + 1216*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7654368477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 11) to base 8\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**4 + 213*x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 11101111110?\nAnswer: -11110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - -4.89. Which is the second smallest value? (a) 0.2 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 f when three letters picked without replacement from {f: 5, r: 4, e: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -93 - (-5 - 16)) + 3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401 + 707. Let s be (-4)\/14 - j\/(-42). Let i be 3\/s + 306\/21. What is the greatest common divisor of 45 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-26)\/(-8) - 4624\/(-64). What is the greatest common divisor of 612 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4514, 4383, 4252, 4121, 3990, 3859?\n\"Answer: -131*g + 4645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 - 1 = -5*b, -b + 3*y = 3. Suppose b = -j - 3 - 31. Let m = 37 + j. Sort m, 1, -0.2 in descending order.\nAnswer: m, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541 (base 8) to base 9.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - (-2 - -5))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/3*(-1 - -6). Let z(q) = -14*q + 3. Let o(a) = -14*a + 2. Let r(m) = t*z(m) + 4*o(m). Is r(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + k + 219 = 0, 2*s + 295 = 7*s + 3*k. Calculate the remainder when (18\/4)\/(21\/s) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*r**3 - 339*r**3 + 996*r**3.\nAnswer: 1622*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13941157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108603 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + w = -3*v + 9, 3*w = 3. Let k(z) = -z**2 + 7*z + 7. What is k(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/(266\/(-3325)). Which is the fourth smallest value? (a) 12\/5 (b) l (c) -5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uto when three letters picked without replacement from {t: 3, u: 4, r: 1, o: 5, g: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21335, -21214, -21093?\n\"Answer: 121*z - 21456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15420)\/45)\/(4\/(-6)). Differentiate 1209*p - z*p + 70 - 466*p with respect to p.\nAnswer: 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*y - 8 = -3, -5*w + 4*y + 25 = 0. Let p(z) = z**3 - 5*z**2 + z - 3. Let g be p(w). Find the first derivative of -11 - 3*t - g*t - 3*t wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134121001 + 3?\nAnswer: 134121004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.49 + 4.58. Let n = -0.09 + t. Let g = -3.991 + n. What is g rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(77)\/((1*sqrt(110))\/sqrt(10)) - (sqrt(28)\/sqrt(4)*-1 + -5)**2).\nAnswer: -192 - 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -47. Let y be -5*(840\/t - -4). Suppose 5*w - y = w. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 16 = t, 8*o + 11*t - 56 = 12*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 22*m - 4606 + 4581 = 0, 5 - 1 = 2*t - 0*m - 2*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 3. Let l = 2 + -6. Suppose 16 + 10 - 44 = -2*x. What is the remainder when x is divided by t(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from 2492.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 34923636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.561 - 0.561. Which is the closest to -1\/16? (a) n (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 6 - 8 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15274 is divided by 313.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 49233.3?\nAnswer: 49234.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 99*a + 695. Let j be g(-7). Put 4, -3, j, 1, -4 in descending order.\nAnswer: 4, j, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3643866.624 rounded to the nearest one thousand?\nAnswer: 3644000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17039 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**2 - 5*h**2 + 0*h**2)*(-70*h - 19*h - 601*h)*(-2*h + 0*h - 3*h) to the form x*h + m*h**3 + j*h**2 + i + q*h**4 and give q.\nAnswer: -3450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/21))\/(p*p**(-1\/12)))**(22\/3)\/((p**(-3\/5)\/(p\/(p*p*(p*p*p**(6\/5)*p)\/p*p)))\/(p**(-1\/10)\/(p*p*p\/(p\/p**(-3))))) assuming p is positive.\nAnswer: p**(-1193\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:26 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -30. Let a = 28.00009 - v. Round a to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u + 0*u - 4*u**3 - 29*u - 85*u**2.\nAnswer: -4*u**3 - 85*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6448, 25814, 58132, 103432, 161744, 233098, 317524, 415052?\n\"Answer: 5*w**3 + 6446*w**2 - 7*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/4 - 29*b**4\/4 - 561*b**3\/4 - 1819*b**2\/4 + 602*b = 0.\nAnswer: -8, -7, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 5*y**3 - y**3 - y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w**3 + 11*w**2 - 2*w + 9. Let q(o) = 4*o**3 - 5*o**2 + o - 4. Suppose -6*z - p = 34, -15*p = -z - 16*p - 4. Calculate z*k(y) - 13*q(y).\nAnswer: 2*y**3 - y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2213138591 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -13. Suppose 4 + 1 = -o*l. What is the third smallest value in 6\/5, l, -3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c + 5*i - 11, 3*c - 16*i = -17*i - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 73.000123. Round t to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from rrwxoyc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004961697 to six dps.\nAnswer: 0.004962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560462987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-184)\/(-3726)*9\/2. Determine k, given that 0*k + 0 + 2\/9*k**2 + x*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03828 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 33*h**3 + 5*h**2 - 11*h - 2. Let z be l(2). Suppose -255*t - 10 = -z*t. Solve 1 = 3*w - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1665*z**5 - 2*z**4 + 10*z + 66?\nAnswer: 33300*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(5)*-1*3 + -3 + (-2*sqrt(640))\/sqrt(8)*3.\nAnswer: -27*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*n + 31, -2*d + 5 = -n - 8. Suppose -t + d*t = 72. Let u be (1*(0 + 0))\/2. Solve -2*z = -6, u = -3*c + 5*z - t - 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5856618, 0.3, 0.4, 5?\nAnswer: -5856618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.62 less than -5173?\nAnswer: -5175.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7988253 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10 - 480\/150. Let s = -218 + 206. Sort 5, s, 1, h in increasing order.\nAnswer: s, h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/13, 0.4, -0.02?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**7\/420 + 2*s**6\/15 - 3*s**5\/4 + 11*s**4\/6 - 29*s**3\/12 + 2*s**2 - 22. Let l(k) = 0. What is k?\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -23. Let i be (-5)\/(-3) + (-7)\/w. What is the units digit of ((-16)\/(-20))\/(i\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/4))\/d**(1\/3)*(d**(-4)\/d)**(3\/7) assuming d is positive.\nAnswer: d**(-61\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 6*m + 4. Let y be c(-7). Let t = y + -14. Let q be (-5)\/(-20) - t\/(-12). Solve 5*s + 20 = -5*j, -5*s + q*j + 20 = -3*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-97963)\/25 + (1 - 4). Let s = q - -3923. Find the common denominator of 28\/3 and s.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684*m - 684*m + 46*m**2.\nAnswer: 46*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 465 = 3*z + 5*t, 4*t = 8. What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 66, 59, 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 207874a + 3?\nAnswer: 2078752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (8 + -7) - -4) + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 3*d)*(2 - 2 + 2) - 6 + 10 - 12 + 5833*d - 1 + 9.\nAnswer: 5829*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81181386.\nAnswer: 2, 3, 11, 13, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(70)*1 - sqrt(70)))\/sqrt(7))\/(sqrt(605) - 6*sqrt(605)*2 - sqrt(605)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 12*a - 196 = -34 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-30)\/x*x**18\/x assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/6107354 and 12\/11.\nAnswer: 6107354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-21)*(1 - 4). Sort 0.2, -3, c in decreasing order.\nAnswer: c, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5*o + 4. Let y be b(4). Let a be 10\/2*(-2 + y). Let g(p) = p**3 + 9*p**2 - 10*p - 4. Let d be g(a). Which is smaller: d or -5\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -304, -763, -1422?\n\"Answer: -100*z**2 + 41*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*r - 911483358 = 503428235 + 864959407. Round r to the nearest 100000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = -21, 48*d + 0 = 44*d - 6*j + 3*j - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.2. Let o = -3.8 + 6.8. Which is the biggest value? (a) o (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292845.8 less than 643.12?\nAnswer: -292202.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Suppose -2*o = -m*o - 100. What is the greatest common divisor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042439619 to the power of 1\/2, to the nearest integer?\nAnswer: 32287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.021429 * 2.1\nAnswer: -0.0450009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7022757131 + -7022757141.819999042. Let k = 10.82 + b. What is k rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 2, 5\/6, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-8)\/q)*q**0)\/((q*q**(-3)*q)\/(q*q\/q**(1\/7))))**43 assuming q is positive.\nAnswer: q**(3870\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37194.\nAnswer: 2, 3, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1270, -1357, -1434, -1495, -1534, -1545?\nAnswer: -1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650244006.\nAnswer: 2, 3, 283, 127649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 262959 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524*y**4 - 605*y**2 wrt y?\nAnswer: 12576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 20. Let m(y) = -13*y + 59. What is 3*m(i) + 8*t(i)?\nAnswer: i + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -62. Let c = 41 + -12. Let m = q + c. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16330400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 676.6593 micrograms in kilograms?\nAnswer: 0.0000006766593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -32*((-3)\/(-24) + (-5)\/8). Suppose -19*a + 705 = -x*a. Suppose 0 = -2*u - 5*o + a, 0 = -4*u + 5*o + 132 + 323. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2 (c) -0.1 (d) 0 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190097 by -4.\nAnswer: -190097\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8204 at least as big as -9021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1755195817, -1755195819, -1755195821, -1755195823?\n\"Answer: -2*y - 1755195815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26402 is divided by 104?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 19*d**3 - 1\/10*d**5 + 29*d**2 + 9\/2*d**4 + 2 - 57*d. Let z(t) = 0. What is t?\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128830427 divided by 128830427.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = -6. Let d(b) = 2*b + 1. Let i be d(2). Sort i, -2, f in decreasing order.\nAnswer: i, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:20 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.852537164 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**5 + 9*w**3 - 9*w**2 + 33*w. Let i(g) = 3*g**5 - 4*g**3 + 4*g**2 - 16*g. Let m(h) = -9*i(h) - 4*l(h). Find the second derivative of m(v) wrt v.\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -29*x - 10. What is y(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3 + 0*m**4 + 0*m**2 - 3 + 6\/5*m**5 + 0*m. Find the third derivative of w(d) wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, u: 10}. Give prob of sequence ru.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 218 - 610. Let i = j + -6. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2992)\/(-72) - ((-20)\/45 - 0). Let m = 7 - -14. Calculate the greatest common factor of m and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e7 (base 16) to base 12.\nAnswer: -887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**6\/75 - c**5\/25 + 2*c**3\/15 + c**2\/5 + 2*c + 17. Factor x(t).\nAnswer: -2*(t - 1)*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109664042 rounded to 5 dps?\nAnswer: 0.10966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111100 - 110101?\nAnswer: 10100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -104. Which is the closest to -2? (a) d (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210010 (base 3) to base 16.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 2. Let a be v(3). Let j = 4 + a. Suppose -j + 19 = 4*s. Solve 4*l = s*x + 16, l - 9 = -4*x - 0*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + j + 855. What is the highest common divisor of j and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3386561 divided by -1.\nAnswer: -3386561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d - 1102 + 1466 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -21. Suppose -49 = -q - i. Let l = -18 + q. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9 and -33\/22248212?\nAnswer: 200233908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7872 and 384?\nAnswer: 15744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 46*f + 640. Calculate the smallest common multiple of c(-25) and 920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928020 is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(18)\/sqrt(3)) - (2*sqrt(363))**2.\nAnswer: -1452 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s - 56. Let t be q(4). Which is the second biggest value? (a) -0.5 (b) 5 (c) t (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5 + 15303*g**4 + 58583695*g**3 + 292597197*g**2 + 234028804*g = 0. Calculate g.\nAnswer: -7649, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + c = 1786, -2*a + 1846 + 1727 = c. List the prime factors of a.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 1001.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 76 - (-18 + (-6 - -23)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 13 = 37. Solve a*s - 9 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 9*y - 6. Let m be o(8). Let w be m\/15 - 4\/(-6). Calculate the greatest common factor of w and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430, -633, -822, -991, -1134, -1245, -1318?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124.1 + -133. Let k = t + 9. What is the closest to k in -5, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - 9*p**2 - 5*p - 10. Give w(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110 (base 2) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19271 * -0.3944\nAnswer: -7600.4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29239\/5 + -5847. Factor -2\/5*h**5 + 0*h**2 - 2\/5*h**3 - y*h**4 + 0 + 0*h.\nAnswer: -2*h**3*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 330249*p**2*u**2 - 176*p**2*u + 18*p**2 + 125*p*u - 51*u**2 - 24 wrt u.\nAnswer: 660498*p**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 2. Give m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -213. Suppose -1181 = -13*v - g. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -73, -147, -221?\n\"Answer: -74*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + w = 521, 138*n = 142*n - w - 527. Solve -n*y + 3*t + 4 = -127*y, -5*y = -2*t - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2299) + -1 - (-1*sqrt(209)*5 - sqrt(209))\/sqrt(11).\nAnswer: -3 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1273\/(-342) + 70\/20\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(275) + -4*sqrt(275) + sqrt(275) - sqrt(275))\/sqrt(5))\/sqrt(11) - (sqrt(20) + -1 + 5*sqrt(45)))**2.\nAnswer: -40*sqrt(5) + 2003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 992511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -1 + -3 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109349.\nAnswer: 43, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -11 + 19 - (0 - 7) - (115 - 51)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/(11 + 2)*16535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1377332 - 0.13597. Round h to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11169023*m**2*u - 15983*m**2 - 27*m wrt u?\nAnswer: 11169023*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 1165 + 1166 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 37*u**2 - 92*u - 21. What is the units digit of l(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 - 4*n**2 - 6*n. Let i(x) = -4*x**3 - 3*x**2 - 7*x. Let g(j) = -2*i(j) + 3*u(j). Calculate g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 3*j - 30. Let f(d) = d. Determine 3*f(x) - p(x).\nAnswer: x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 546141 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) 0 (c) -12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 + 11 + 0 - -25) + (0 - -6) + -2.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035367603 rounded to 6 decimal places?\nAnswer: -0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {a: 4, v: 4, i: 12}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 7*y - 16. Let s(x) = 4*x**2 + 21*x - 48. Let a(v) = -7*d(v) + 2*s(v). Let p be a(7). Does 16 divide (-3)\/1 + 3 + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 5*v - 1. Let n be o(-5). Let x be n\/2*0\/(-1). Suppose -5*f + 0*u = u - 64, x = -2*f + 2*u + 28. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7*g**4 + 3)*(-11 + 67 - 4)*(2 - 4 + 0).\nAnswer: -728*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 11. Suppose 20 = -d + w*d. Calculate the lowest common multiple of d and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283.5 - 284.4. Sort w, 0.8, 2\/5, 0, 4 in increasing order.\nAnswer: w, 0, 2\/5, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 269030366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 take away -12.075?\nAnswer: -91.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133940567 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 - 165\/75. Which is the biggest value? (a) -1\/3 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 550*h + 1. Suppose -4 = 4*f - 8. Let a be r(f). Suppose -3*l + 3619 = -a. Round l to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-21 - 0) + (-600 - -607)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 43*p**3 - 2*p**2 - 60*p - 40. Let z be q(-16). What is z rounded to the nearest 1000?\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/5 + ((-668239)\/(-55))\/13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711976 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 2, -2\/3, -3, 4, 54?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -31412?\nAnswer: 12564.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139841, 139835, 139833, 139835, 139841, 139851?\n\"Answer: 2*m**2 - 12*m + 139851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**3*x + 71887*f**3 - 3963*f**2*x wrt x?\nAnswer: -3*f**3 - 3963*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + sqrt(27))*3 + sqrt(432) + sqrt(432)*1 + sqrt(432))\/((sqrt(9) - sqrt(225)*6) + sqrt(90)\/(sqrt(10)*-2)).\nAnswer: -48*sqrt(3)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + k)*(-8650 + 13*k - 8506 + 17155 - 18*k**2 + 3*k**3).\nAnswer: 3*k**4 - 18*k**3 + 13*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 171 = -3*r, -2*r + 5*r = -3. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2489.5 and 1209.\nAnswer: -1280.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157355959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 4*o**2 - 41 - 202 + 124 - 136.\nAnswer: -4*o**2 - 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -64*x + 5. Let r be d(-4). Suppose -9*f + r = -12*f. Is (f\/6)\/((-2)\/68) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 14, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*z**3 - 138*z + 135*z + 18*z**3)*(-2 + 2 - z).\nAnswer: 41*z**4 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**6\/360 - 13*w**5\/120 + 5*w**4\/4 - 26*w**3 - 126. Let q(y) be the third derivative of k(y). Give q(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646 minus 26039557655?\nAnswer: -26039559301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z + 3. Let t be l(-2). Let o be ((-25)\/8)\/t - 1. Let m = -24184 - -24184. Which is the closest to 1\/3? (a) o (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 2, -47, -134, -271?\n\"Answer: -2*h**3 - h**2 - 6*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(0 - -1) - -2. Suppose t = z + 1 - 5. Suppose 2*k + 9 = z*g - 9, -29 = -2*g - 3*k. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -1 - 70. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -1 - 7. Let j be (y + 2)\/((-8)\/(-4)). Suppose m + 1 = q, -2*q = -m + 3 - j. Put 4, q, -3 in decreasing order.\nAnswer: 4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.045534 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244480677.\nAnswer: 3, 7, 11641937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(300) + 1 + sqrt(300) + -1))**2*-6.\nAnswer: 21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 17*s - 16. Suppose z - s*v = 218, -2*v - 1090 = -5*z + 2*v. List the prime factors of z.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -738133*s**3 + 2*s**2 + 92370*s wrt s?\nAnswer: -4428798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6*n + 30*a**5*n**2 - 2*a**2*n**2 + 2*a - 65*n**2 wrt a.\nAnswer: 240*a**3*n + 1800*a**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*l - 12 = 0, -3*h + 2*l = 2*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + (sqrt(112)\/sqrt(64))\/(sqrt(64) - (sqrt(64) + sqrt(64)*2) - sqrt(64))))**2.\nAnswer: -125*sqrt(7)\/24 + 1440175\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**4 - q - 11*q**4 - 3*q**3 + 2*q**3 - q**2 to t*q**3 + o + j*q**4 + s*q**2 + c*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669789 is divided by 912.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -53. Let v = -41.042 + p. Let o = v - 3.558. Round o to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6\/(-4))\/((-51)\/1122)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -13*q**5\/30 + q**3\/6 + 2*q**2. Let t be c(1). Is (-365)\/t - (-2)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**4*u**2 - s**4 + 109*s**3*u + 9*s**3 + 6*s**2*u**2 + s**2*u - 302*s**2 - 2*u**2 + 1 wrt s.\nAnswer: 48*s*u**2 - 24*s + 654*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*t - 2*t + 6*t)*(0 + 0 - 2) + 3*t + 9 - 9)*(59 - 33 + 93)*(-4*t**2 + 4*t**2 - 3*t**2) to the form x*t + s + p*t**3 + j*t**2 and give p.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27)\/24)\/(5\/(-2)))\/(546\/910).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41462\/369 - -11\/369. Which is the nearest to 0? (a) -3\/5 (b) i (c) -3\/8 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21166640.\nAnswer: 2, 5, 11, 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 4, o: 1, n: 5, f: 1}. What is prob of picking 1 f and 1 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3))**17\/(f**(1\/4)*f**(2\/7)\/f) assuming f is positive.\nAnswer: f**(-939\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flf when three letters picked without replacement from lffflffflfffffffff?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0 (c) 2\/5 (d) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.64 - 0.36. Which is the third smallest value? (a) l (b) 0.11 (c) 4\/7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(98) + sqrt(98) + ((sqrt(98) - (sqrt(98)*2 + sqrt(98))) + sqrt(98))**2).\nAnswer: 28*sqrt(2) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26912 and 6741920?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let s be (1\/(-2) - -1)*58. Suppose d + s = 4*n, 2*d - 7 = 2*n - 17. Let i(f) = -6*f + 0*f + n*f. Determine a(i(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 431*x + 0*x**2 - 1\/3*x**3 + 1\/4*x**4 - 29. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 2 - 2 + (4 + m - 4)*(3 - 2 - 2) - 1256*m + 52 - 3 - 46)*(0 - 2*m + 0) as u + f*m + b*m**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -32508 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 25. Let a(s) = -42*s + 1. What is k(a(o))?\nAnswer: -1764*o**2 + 84*o - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 78103452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 1 (c) 0.0349 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*g - 333*g + 7*g**2 + 107*g + 111*g.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.00783, 1 in ascending order.\nAnswer: -2\/5, 0.00783, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*v**3 - 29*v**3 + 241*v**3 - 72*v**3 + 33*v**3 + 199*v**3.\nAnswer: 426*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10250 and 205?\nAnswer: 10250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 + 165. Let l(w) = w**2 + 6*w + 7. What is l(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.008 + -0.066. Let z = 0.252 - j. Sort 0.1, 4, z in decreasing order.\nAnswer: 4, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 19*o - 16*o + 4*u, -2*o - 2 = 2*u. Solve 20*a = 22*a + 3*q + 20, 3*a = o*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 5*l**2 + 2*l**2 + (4*l**2 + 3*l**2 - 5*l**2)*(-3 + 3 - 2) - 3*l + 3*l + l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-8))\/(-75) - (-2 - 58\/(-15))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -11.31, 3, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvvv when four letters picked without replacement from vvvvvvvvlvl.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**2 + 46155*l - 7123090 = 0.\nAnswer: 157, 9074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u**2 + 4*u - 4. Let v be d(2). Calculate the greatest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2420) - -2*sqrt(2420))*3 - sqrt(2420))*-5)\/(((sqrt(324) - -2*sqrt(324)*-1 - sqrt(324)) + sqrt(324))*3).\nAnswer: 440*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131203321 (base 5) to base 8.\nAnswer: 11727015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 54*t + 19. Calculate h(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 39 (b) -1361.9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18022, -18227, -18432?\n\"Answer: -205*o - 17817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 156*t**2 + 2574*t - 2420.\nAnswer: 2*(t - 55)*(t - 22)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(627\/76)\/(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203950133 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27317 + 25592.3. What is q rounded to the nearest 10?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*10*140\/(-336).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208102, 832423, 1872960, 3329713, 5202682?\nAnswer: 7491867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -11 (b) 2\/15 (c) 4.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*((-20)\/6 - -3). Put -7, -4, -3, x in increasing order.\nAnswer: -7, -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 + 0?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 6, -8, -22?\n\"Answer: -14*n + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -356828 >= -713655\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 164 = -564. Let r be (-106)\/(-9) + (-2 - t\/45). What is the greatest common factor of r and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 61 + 70 = -21*o - 97 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344708755.\nAnswer: 5, 68941751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from dedjvvvevzjezzvvz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 20*t**2 + 5*t + 6. Let b(w) = -w**3 + 20*w**2 - 4*w - 5. Give -5*b(c) - 4*h(c).\nAnswer: c**3 - 20*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1063 - -1048. Let j(l) = -l**2 - 13*l + 34. Calculate j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**4*n - 44*m**3 - 1926469*m**2*n + 15462*m + 8481*n wrt m.\nAnswer: -24*m**2*n - 264*m - 3852938*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -d - d. Suppose 0 = 2*v + v - d. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.88 - -0.12. Let m be (-2)\/7 + (-1)\/(-28). Let i = 131\/387 + -5\/43. Which is the biggest value? (a) i (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3249.6534 - -3449.653644. Let v = 200 - l. Round v to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 540.9729 millennia?\nAnswer: 6491674.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 - 2780*h**4 + 2785*h**3.\nAnswer: -5*h**3*(h - 1)*(h + 557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 2542014\nAnswer: 12710070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3554*w + 67 - 33 - 34 in the form m + z*w and give z.\nAnswer: -3554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 121137191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.3764t to milligrams.\nAnswer: 735376400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**5)**19\/((u*u\/(u*(u**(4\/5)\/u)\/u))\/(u**(-2\/5)*u*u)) assuming u is positive.\nAnswer: u**(-383\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 25056.\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxgxxgxxxgxxxg. What is prob of picking 2 x?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 568 and 110259592?\nAnswer: 110259592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(114) - sqrt(114)) + sqrt(114) + -5*-2*sqrt(114))\/((-5*2*sqrt(72) - sqrt(72))\/(sqrt(768)*2 + sqrt(768))).\nAnswer: 48*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5101 + -22020?\nAnswer: -31121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 867, 855, 857, 879, 927, 1007, 1125, 1287?\n\"Answer: x**3 + x**2 - 22*x + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*z + 8 + 36 = 0, -5*y - 2*z + 54 = 0. Let b = -3 + y. What is the remainder when 32 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 61. Suppose -n = -4*s - 95, 0 = -2*s + 2*n - 249 + 209. What is w(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 12*b**2 - 95. Let p be f(-7). Let i be 3*(-2)\/(-3) + 0. Suppose i*c = -p*c + 155. Is 30 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (52\/7 + -2)*7\/1. Let o(u) = -u - 5. Let h be o(-8). Suppose h*w - k = w. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - (0 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125 - 424*t + 66*t**2 + 51 + t**2 + 424*t to v*t + r + x*t**2 and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 + 439 = 9*r. Determine w so that -r*w**4 + 74*w**2 - 18 - 70*w + 95*w**3 - 18*w**5 - 7*w**5 - 22 + 51*w**2 = 0.\nAnswer: -4, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-26)\/((z\/((z*z**(9\/5))\/z))\/z))\/(z**(-4\/9))**(19\/2))**(8\/5) assuming z is positive.\nAnswer: z**(-7192\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-43.748\nAnswer: -9.18708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19883, -19925, -20001, -20117, -20279, -20493, -20765?\nAnswer: -21101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:20 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - n**3 - 3 + (2 + 6 + 1)*(202*n**3 - 129*n**3 + 192*n**3).\nAnswer: 2384*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = -k + 3*g, 5*g = 4*k - 11. Suppose -2*q = -2*j + j - 3, -20 = -k*j. Is (-8)\/(-1) + -6 + q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4681*v + 9. Let s(x) = 1172*x - 2. Calculate -2*k(g) - 9*s(g).\nAnswer: -1186*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from hhhhhhahaah?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -11.86 (b) -1 (c) 0.078 (d) 7 (e) -4 (f) 0.4 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 2 w when four letters picked without replacement from {w: 2, n: 2, z: 1, o: 1, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130866)\/(-28050) - 12\/100)*11.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 258710 * 0.06\nAnswer: 15522.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 1, -24 in descending order.\nAnswer: 1, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3661\/(-1254) - -3 - (-321)\/(-7062)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 8986*b**2 + 20160064*b - 121284096.\nAnswer: (b - 6)*(b + 4496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22113033 - 132122?\nAnswer: -22311221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/892 and 61\/603438.\nAnswer: 1206876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - g + 0*g + g - 3346 - 6*g.\nAnswer: -g - 3346","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -67958.322 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*i = 9352, 4*k - 3*k = 3*i + 1550. What is the highest common divisor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -6c2?\nAnswer: -6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g - 1\/2*g**2 - 1. Let a(r) be the third derivative of -r**4\/4 + 2*r**2. What is a(k(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085333?\nAnswer: 67, 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -92. Let t = 7.000079 - z. Round t to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 2 + 0 + 2*z**2 + 2 to the form j + p*z + w*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o - 1. Let h be v(5). Suppose 3*z - h - 65 = -4*p, -4*z + 3*p + 167 = 0. What is the remainder when z is divided by (12\/(-9))\/((-8)\/60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a - 134. Determine m(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121113 (base 4) to base 3.\nAnswer: 21211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 235166987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 438555493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81606 = -0*f - 3*f. Let v = 44483 + f. Suppose 2*b + v = 123281. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -86. Solve 3*o - 6 = g*q, 0*o - 3*o = 3*q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1263.4 - 186.4. Let w = 1076.99999549 - g. What is w rounded to 7 dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.42, -3.32, -2 in descending order.\nAnswer: 1.42, -2, -3.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 8*v**2 + 0*v**2 + 3*v**2 + 5*v - 7*v**2.\nAnswer: 6*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -61 (b) 5 (c) -7.171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5556.614km?\nAnswer: 5556614000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*c + 54 = 97, 0 = 2*t + 4*c + 2 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f = 313*f - 169*f - 456 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 285 = -5*r. Calculate the remainder when r is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7. Let h = -0.42 - v. Round h to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let x(v) = 8*v**3 + 6*v - 6. Let i be (1*4\/(0 + -2))\/1. What is i*x(s) + 12*q(s)?\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v - 1. Let k(i) = 12*i. Let t(y) = -2*y. Let l(r) = k(r) + t(r). Calculate a(l(h)).\nAnswer: -110*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -1207?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3\/3 - q**2 - q - 11. Let k be z(3). Suppose k*o + 2*o - 152 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-242)\/363*2\/(-4)*26*72\/(-32).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*q = 0, -5*q + 10*q - 4 = r. Which is greater: r or 4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1664*-0.04.\nAnswer: 66.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(18*n**2 - 18*n**2 - 2 + 2*n**3) to b*n**3 + u*n + p*n**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, 1, -32, -3, 5\/4, -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**33*a**15\/a*a*a**(8\/7)*a\/a**37 assuming a is positive.\nAnswer: a**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518807351?\nAnswer: 31, 16735721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259 = 9285*z - 9337*z + 323 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2)**2 + -1 + 5*(sqrt(684) - (sqrt(684) - sqrt(684)*3)**2).\nAnswer: -10945 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5310, 5320, 5330, 5340?\n\"Answer: 10*c + 5300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 232\/72 + (-2)\/9. Suppose -3*i = -2*l + l - 6, -2*l + 4*i - 6 = 0. Suppose l*w + 12 = 5*m, 5*w = -4*m + k*m - 20. Solve 5*h + 10 + 10 = m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 577900 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-27)\/t)\/t)\/t*t)**42 assuming t is positive.\nAnswer: t**(-1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 19053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*b**2 + 5*b - 17*b**2 - 5*b)*(4265*b + 73*b**2 - 4265*b) to h*b**2 + p*b**4 + m + t*b + i*b**3 and give p.\nAnswer: 2409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*101490\/(-5373)*9?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c. Let b(n) = -4*n**2 + 5*n - 5. Let s(q) = -9*q + 94. Let y be s(10). Suppose 4*a + 61 - 44 = 3*p, -16 = -y*p + 4*a. Give p*b(w) - 5*v(w).\nAnswer: -w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*64\/296704*183.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407 - 399. Suppose 415 = h*n - 97. Calculate the highest common divisor of 128 and n.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(133) - sqrt(133))*5 + sqrt(133))\/(sqrt(63) - -1*sqrt(63) - sqrt(63)) + 6*(3 + sqrt(19) + 1)*-5 + -1.\nAnswer: -121 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149.59 + -155.813. Let a = x + 0.223. Which is bigger: a or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2143, 5, -256, -13, -4 in descending order.\nAnswer: 2143, 5, 0, -4, -13, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(15\/(-9)) - -6. Let o(x) = -4*x**3 - 13*x**2 + 9*x - 9. Let t(k) = -k**3 - 3*k**2 + 2*k - 2. Give z*t(g) - 2*o(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -152. Let s be 5\/(-2)*52\/j. Let l(g) = 3*g + 1. Let z be l(5). Calculate the greatest common factor of z and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9 - 16) + 11)*(-11)\/((-154)\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, 1196, -5, 2, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4098 (base 10) to base 7.\nAnswer: -14643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 267 + -190. Suppose 5*w + 95 = 5*z, d = 3*z + z - 5*w. Suppose 2*j - z + 2 = 0. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-24))**43 assuming m is positive.\nAnswer: m**(-1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = -10195 + 44179. What are the prime factors of j?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 28*m**2 + 44*m + 91. Let j be x(-10). Calculate the greatest common factor of j and 1015.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/2 + 39*i**4\/2 - 294*i**3 + 2128*i**2 - 7296*i + 9216.\nAnswer: -(i - 12)*(i - 8)**3*(i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) + (-616)\/294. Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(960)\/sqrt(12) - (sqrt(35)\/(sqrt(14)\/sqrt(2)))**2.\nAnswer: -5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Let m = 7 + n. Suppose -5*j = -2*q - 263, -m*j = q - 24 - 83. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 436699, 437126, 437553, 437980, 438407?\n\"Answer: 427*n + 436272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/2 + 103*o**2\/2 - 21*o.\nAnswer: o*(o + 21)*(5*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 18. Suppose -22 - d = -4*o. Let t(x) = -x**3 - 43*x**2 + 3*x + 206. What is the remainder when t(-43) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1287 - 395 = 0. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-356)\/(-52) - 1\/(52\/(-8)). Solve p*g = 2*o + 2*g + 1, -o + 2*g = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -17 - (7 - (3 - -1)). Let q = 31 + j. Let s(h) = -h**2 + 13*h - 10. What is the lowest common multiple of 6 and s(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - -45 - (-265 + 235).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121100121 - 0?\nAnswer: 121100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-14)\/126 + 186\/(-27) + 820\/4 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/5)\/((-10)\/75). Let m be o*(-6)\/(-27)*-9. Let a = m + -20. Solve -w = -3*b + 4 - 12, -2*w = -a*b - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*23\/(5313\/88) - 46\/(-69).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 56925*n - 740035. Determine t(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -16*i - 7. Suppose -4*y + 240 = -8*g + 12*g, i*g + 3*y - 116 = 0. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41324, 165287, 371892, 661139?\n\"Answer: 41321*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(90) + sqrt(90) + (-1*sqrt(90) - sqrt(90)) + sqrt(90)))\/sqrt(10))\/(sqrt(75)*2*-6).\nAnswer: sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and 43\/348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 28623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azbnnvjnbvba. Give prob of sequence vn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((0 - -3) + 9 + -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a factor of 33113650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3\/2))\/t**(1\/4)*t**(2\/7))\/((t\/(t*(t*t*(t*t**(2\/15))\/t*t)\/t*t)*t**(-3))\/(t**5\/t**(-1\/5))) assuming t is positive.\nAnswer: t**(1165\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-65) - (-561)\/143.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079092929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 44. Let z be f(0). Let m = -41 - z. Calculate the highest common factor of 6 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*a = 2*o - 261, -4*o = a + 338. Let q = o - -141. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 3945\/(-3213) - 2. Let j = -2\/357 + w. Suppose -7*s + 2 = -5*s. Is s smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.10355mg in kilograms?\nAnswer: 0.00004710355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0 - 4. Suppose 5*x + o = 14, -x - 14 = -4*x - i*o. Suppose -2*b - 6 = -4*b. Solve -x*m - b + 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*w - 3*w - 32, 0 = l + w + 1. Let z be l - 8\/12*-3. Suppose 0 = -5*y - 20, 5*y = z*v + 56 + 44. What is v rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -645517.\nAnswer: -4\/645517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496617534 and 14070.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19010591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*n**2*u**2 + 38973*n**2*x - 3269*n*u**2*x - u*x wrt u?\nAnswer: 8*n**2*u - 6538*n*u*x - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -371939 + 7*l**2 - 40*l**2 - 21*l**3 + 371936 wrt l.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7047157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -53*f. Let d(b) = -b. Let z(o) = -6*d(o) - 2*w(o). Let j(u) = 70*u - 35*u - 33*u. What is j(z(h))?\nAnswer: 224*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 263*s**2 + 7*s - 26. Let t be i(2). Suppose -5*l + 3*q + t = 0, q = 10*l - 8*l - 416. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 104. Find the common denominator of -1\/62 and 4 + -7 + (-266)\/z.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59623.9 rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n**2 - 7*n + 1. Give t(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11608.1 take away -705.26177?\nAnswer: -10902.83823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = 6. Let k be 21\/(-10) - ((-24)\/(-10) - 2). Which is the closest to 0? (a) 5 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 3*n - 4. Let o be j(3). Suppose 30 = -f - 5*a + 2, -4*a = o*f + 119. Let i = f - -16. Is -7 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1836)\/85*(4465\/(-141))\/19.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170141 is divided by 28184?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -130032 (base 4) to base 9\nAnswer: -2426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 101657149*t + 101657149*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3\/3 - 1807018*w**2\/15 + 120468*w\/5 = 0.\nAnswer: -180702, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*l - 28, -2*p = 4*l + 148 - 176 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17433)\/19370)\/(-1*9)*18*-1.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1386, -4078, -8582, -14898, -23026, -32966?\n\"Answer: -906*i**2 + 26*i - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -281 or -147\/64?\nAnswer: -147\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o**2 + 2*o - 3. Let i(l) = -l**3 + 2*l**2 + 3*l - 2. Give 2*i(v) - 3*r(v).\nAnswer: v**3 - 2*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11381 divided by 11381.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-12) - 33090\/(-8))\/((-23)\/(-92)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 47 - 49 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in -0.4, -2\/11, -5, -3, -3442?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2.191546\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**2*r - 5*m**2 - 14*m*r**4 wrt r?\nAnswer: -4*m**2 - 56*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*i = -121*i + 133*i - 94*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -237854*k**3*o**3 - 13*k**3 - 3*k*o**3 - 178317*o wrt o?\nAnswer: -1427124*k**3*o - 18*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) 0.3 (c) -2.8 (d) -0.1 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s - 1570 = 267*s + 391 + 640 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*t + 0*t**2 + 133*t - 271*t - 7*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5710\/423 - -1\/846. Find the common denominator of t and (9911\/41140 - 2\/8*1)*107.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*u = -10, 5*u - 2 = -a - 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7743 at most as big as -7745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8806.595 centuries in years?\nAnswer: 880659.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/45)\/((-10)\/9*6)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1093 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30885, -30911, -30967, -31065, -31217?\nAnswer: -31435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 230. Suppose -2*u + 55 + l = 0. Let a = -37 + u. What is a rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 29*x**2 + 38*x - 8. Let d(u) = -u**3 - 8*u**2 - 12*u + 3. What is -2*c(l) - 7*d(l)?\nAnswer: 3*l**3 - 2*l**2 + 8*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, 50, 2, 3\/17 in decreasing order.\nAnswer: 50, 2, 0.27, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31908 + 382*d - 1466*d - 31908.\nAnswer: -1084*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/17 (c) 2 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78469 (base 11) to base 7.\nAnswer: 652320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 848622 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4822 + -4792. Calculate the least common multiple of n and 393.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1053 and 18096.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 17 = 0. Let j = 24 - v. Solve 0 = 3*m + 2 + j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 + 3*m**2 - 2*m - 4. Let z be b(-2). Let c = z - -40. Let s be (-6)\/(-4)*(-24)\/(-9). Solve 2*j - c = -5*r - 4, 3*r = -s*j + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -2*s**2 - 3*s - 5. Differentiate w(h) with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(6)*-1)\/(sqrt(150)\/sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 8. Let p be a(6). Let v = p - -20. List the prime factors of 4\/((-16)\/(-28))*v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**3 - 36*m**3 + 16*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.7 + -13. Let h = u + -11. Let d = -64 - -703\/11. What is the closest to 1 in h, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/120 - h**4\/2 + 49*h**3\/3 - h**2\/2 - 61*h. Let b(q) be the second derivative of j(q). Determine b(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 1. Let n(a) = -7*a. Let g(m) = n(m) + 3*s(m). Determine g(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + -7 - 24\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.2 + 14.4. What is the second smallest value in a, -2, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/392 and (2\/(6 - 30))\/(4\/(-111)).\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-3)\/18 + 10\/(-12)). Let h(l) = 13*l**3 - l**2 - 2*l. List the prime factors of h(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -857*g**2. Let v(a) = -62932*a + 2. Give v(u(m)).\nAnswer: 53932724*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * 490.\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:39 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = 4*o + 9, 14 = -5*o - u. Let h be (-1 + (-9)\/o)\/(-2). Put 4, h, 1 in ascending order.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**5 - 51*v**4 - 63*v**3 + 159*v**2 + 60*v - 108 = 0.\nAnswer: -2, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (1 + 4))*(-4)\/12. Suppose -5*l + 15*t - 13*t + 12 = 0, h = l - 4*t + 12. Solve -2*d - 4*j + 8 = -3*j, -l*d + 16 = -5*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d = -71*d - 192. Let s(l) = l**3 + 6*l**2 + 6*l + 4. Determine s(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231918 is divided by 348?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703560533 to the power of 1\/3, to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.499 - -7.4. Let n = -0.365 - -0.139. Let m = z - n. What is m rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 16) to base 6\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let v(c) = 32*c**2 + 49*c - 6. Let s be v(-5). Suppose 4*b + s = 569. Solve -1 = l*w - b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 792057.8 millilitres?\nAnswer: 792.0578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*p - 5 + 16, 0 = 2*p + 8. What is the hundreds digit of (-237)\/(0 + 3\/(z\/(-1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45972520 to the nearest 10000.\nAnswer: -45970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*x - 363*x - 52 = -4*o, 0 = 2*o - 5*x - 26 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -340882 times 4\nAnswer: -1363528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2672081 and 2014732.\nAnswer: 8537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 49. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (185 + 120*o**2 - 185)*(-106 + 42 + 2*o + 22 - o) in the form m*o**3 + t + r*o + p*o**2 and give m.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -85*b - 1423. Calculate the least common multiple of 1472 and r(-17).\nAnswer: 16192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-30)*(-2019700)\/143505?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + sqrt(75)*-1)) + sqrt(3) - 1*sqrt(75))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 86283 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 261129936 divided by 103953\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 2*n)*(0 - 2 + 1) + (2*n + 5*n - 5*n)*(0 + 3 - 14).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5759?\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/11 - 31\/11. Suppose 3*x - 3*l - 15 = 3, -2*x + l = -17. Let d = x + j. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w - 5*w - 3 + 5 - 11*w + w**2. Determine j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 372 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/115*(4 - -1). Suppose -5*m + g + b*g + 30 = 0, g = -4*m + 3. Solve 2*q = 4*v - m, 2*v - 7 = -2*v + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-117))\/(10*2\/(-330))\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 143 - (1 + -36 - (-140 - -128))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**3 + 8*a**2 - 9*a**3 - 7*a**3 + 5. Let v be 88\/12 - (-2)\/3. Let f be c(v). Solve -f*h = -16 - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.004? (a) -2\/3 (b) 0 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35.022 - -35. Let b = 0.021967 + m. Round b to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2756476 is divided by 275641?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(1\/2)*u*u\/u**(-3)*u*u\/u**(-2\/5))\/(u\/(u*u*u**(1\/4))*u\/(u**8\/u)*u)**(1\/3) assuming u is positive.\nAnswer: u**(599\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42620 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 4, z: 2}. What is prob of picking 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/77, -4\/5 in descending order.\nAnswer: 1\/77, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -10. Let o = a - 29. Let s = 49 + o. What is the second biggest value in -2\/11, 0.05, s?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 1020*z - 1024*z + 16, 0 = -2*z + d + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6846787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8*l - 160 = 0, -3*u + 232 - 1 = 3*l. Solve 77*d - 96*d + u = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 3*g**2 + 5*g + 4. Let w be a(-4). Let s be 2\/24 - (-527)\/12. Suppose w = -p + u, 4*u - s = -4*p - 12. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/14*-78 - -8. Let w(g) = g**2 + 5*g - 4. Let z be w(-6). Sort z, -1, i in ascending order.\nAnswer: i, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*v + 17*v + v**3 - 39*v.\nAnswer: v**3 + 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = 2*b + 3*s, -2*b = -2*s - 16. Suppose b*y = 554 + 386. Is 50 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, e: 5, i: 2, o: 1}. What is prob of sequence oeez?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*m + 22, -5*m - 1 + 24 = 2*i. What is the remainder when 25 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 323525400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449395711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -772\/7 and -521\/18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**4 + 6*d**4 - 5*d**4 + (0*d**3 + 0*d**3 + 2*d**3)*(d + 0 + 0).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 + 4*g + 2. Let h be s(-2). Let a = -4 + h. What is the third derivative of 2*i**3 - i**3 + 4*i**a - 2*i**2 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1694) + sqrt(14) + -5*sqrt(1694) + sqrt(1694))\/(((sqrt(120)*-2 - sqrt(120))\/sqrt(6))\/(-1*sqrt(360))).\nAnswer: -42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in -3, 5, -2\/109, -0.8?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*g + g - 8240, -u + 1644 = -g. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1812895*v**2 - 4*v + 4466 wrt v.\nAnswer: -3625790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3312 is divided by 1640.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271516?\nAnswer: 2, 7, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 12.9, 3, -2.2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 28*w**2 - 7*w + 9. What is the tens digit of s(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o + 21. Let r be q(-3). Differentiate -52*l**2 + 59 - 113 + r wrt l.\nAnswer: -104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3 + 6. Let q be o + 4\/1 + -2. Solve q*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 2*k**3 + k**3 + (2 - 2*k**2 - 2)*(k - k - 2*k) - k**3 + 8*k**3 + k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + 1 + sqrt(175))**2 + 4 - ((2*-2*sqrt(84))\/sqrt(12))**2) + (1*(sqrt(84) - sqrt(84)*-3))\/(-3*sqrt(432)).\nAnswer: 178*sqrt(7)\/9 + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116\/7 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 5. Suppose -g = -l - 0*l + 5, 31 = -5*g + 2*l. Let i be r(g). Suppose 1 = 3*d - i. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900030 and 15618?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1522*n - 388923 + 230635 for n.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 105 = 87. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -7*n + 1. Let z be 7*(-5)\/(-1260) - 1*(-8)\/36. Which is the closest to n? (a) z (b) 3 (c) 9\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m + 1. Let g = 0 - -1. Let y(k) be the third derivative of -k**4\/12 + k**3\/3 - 7*k**2. Determine g*y(a) + 4*w(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t = 2*b + 62, b + 2 = 4*t - 18 - 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*k + 16*k**4 + 56*k)*(-3 + 0 - 2) - 2*k**4 + 146 - k**2 - 146.\nAnswer: -82*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48805, 48806, 48807?\nAnswer: 48808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/20)\/((((-77)\/126)\/11)\/2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 236.8 times 0.3\nAnswer: 71.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 4*n - 25. Let j be a(-5). Differentiate 19 - 96*d**3 + 30 + 21 - j + 31 wrt d.\nAnswer: -288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3488 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 20 = 5*f. Let i be (-2)\/(-10)*-1*(7 + f). Let z(d) = -d**2 - 8*d - 8. Let r be z(-6). Which is the smallest value? (a) 3\/7 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 4)*60\/(-48). Let p be (1 - x - 0) + 9. Let a = 11 - p. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 48*l - 532. Determine o(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*v + 5147*v + 494900 = -504*v - 416*v for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735993139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 108.09323*77\nAnswer: 8323.17871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7271, 5, -2, 8 in descending order.\nAnswer: 7271, 8, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -y - 2*l + 190, -4*y = l - 1068. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -851*w**2 - 40*w + 851*w**2 - w**3 in the form z*w**2 + y*w**3 + b + r*w and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 15 (b) 1\/4 (c) -0.12 (d) 1 (e) 0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 8, 5, -5 in ascending order.\nAnswer: -24, -5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 10*n + 16. Let c be m(-12). Let g = 13 + c. What is the greatest common divisor of g and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22777 or -18839?\nAnswer: -22777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + -119. Suppose -y*t - 5 = -4*t. Let g(r) = -r**2 + 8*r - 11. Let v be g(2). Solve j = 3*f - 6*f + 5, 2*f + t*j = -v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874 = 73*p - 363 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvcvvcv.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)\/(3\/(-1)). Let w = -171\/805 - -2\/161. Let f = 0 - 1. Which is the nearest to v? (a) f (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -3 (b) 27 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25997973 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8733 - 8732.5. Let m = 0.2 + -0.4. Put -4\/9, -3\/4, j, m in decreasing order.\nAnswer: j, m, -4\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -15*x - 18. Give s(9).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 13, k: 5, f: 2}. What is prob of picking 2 k, 1 j, and 1 f?\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*x - z + 65, 0 = 2*x - 4713*z + 4704*z - 86 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z + 2. Let a(b) = b + 88. Let r be a(-82). Let h(i) be the third derivative of -i**4\/12 - i**3\/6 - i**2. What is r*l(w) + 13*h(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50262314863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936179*q + 156 = -936175*q for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 77*u - 855. Give b(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -37. Which is the second smallest value? (a) 3 (b) s (c) 2\/13 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 1\/3*a**3 + 1\/3*a + 2\/3*a**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 250334770?\nAnswer: 250334770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399491.\nAnswer: 3, 17, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -255\/4, 54, -7, 1\/4, 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 19. Solve y = -2*y + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 12) to base 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10242 - 10235. Solve -2*d + 8 = 2*x, 5*x - 27 = -q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83785 - -58515. Let l = f - -25271.2947. Let j = 1.3 - l. Round j to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 23. Is (106\/n)\/(11\/33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i**2 - 3 + 3)*(12 - 24 + 9) as u*i**2 + g + l*i and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-20)*v)\/v**27*v**(-9\/5)\/v*v*v*v*v**(1\/13)*v assuming v is positive.\nAnswer: v**(-2842\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66\/(-9) + 4)\/((-1)\/(-3)). Let w be (v - -7) + ((-58)\/2)\/(-1). Suppose -4*h + w = -2. Calculate the least common multiple of h and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3\/2)\/y)**(-7)\/(y**(-13)*y\/(y**(2\/21)\/y)) assuming y is positive.\nAnswer: y**(907\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**1*v))\/v*v)**9*(v\/(v*v**4*v))\/v**5 assuming v is positive.\nAnswer: v**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12862 - 24?\nAnswer: -12886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 + 1 - (-8 - -7) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -543, -567, -593?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -209\/1260 and -43\/1030?\nAnswer: 129780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -531 + 572. Calculate the remainder when 161 is divided by s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v**2 - 26*v - 3. Let j be f(-2). Let d(i) = -16*i + 8. Give d(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789129114 to the power of 1\/4, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -3*v - 0, 4*t + 3*v - 10 = 0. Suppose 12 = t*s - 3*s. Suppose -s = -j - 5*x, -6 = -2*j + j - 2*x. Sort j, -5, -2.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7660400 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5726216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, -3, 11 in ascending order.\nAnswer: -3, 2, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 3*v - 161 = 0, 7*b - 5*v + 170 - 10 = -0*v + 12 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*y = 16, -2*y = -5*r + 3*y + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 19. Calculate the least common multiple of s and 120\/28 - 4\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -41.32 (b) -0.1229 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 361725 - 203289385\/562. Calculate the common denominator of f and -73\/2.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, z: 7, p: 2}. What is prob of picking 1 s and 1 p?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*q + 10. Suppose -2*a = a - q. Let h(b) = 5*b + 3*b**a - 3*b - 2 + 0. Calculate h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 133*k - 3110. What is w(-28)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 46*c**2 - 18*c - 250. List the prime factors of t(-43).\nAnswer: 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-78)\/65)\/((-4)\/(-190)). Let j = 60 + s. Solve 1\/6*q**2 + 0 + 1\/3*q**j - 1\/3*q - 1\/6*q**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + sqrt(68) - (2 + sqrt(1700) + -2).\nAnswer: -8*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*26\/(-4) - 4\/(-2). Let d be u\/(-154) + ((-6)\/11)\/(-3). Suppose d = 8*k - 715 - 69. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/10858432 and -29\/43784.\nAnswer: 10858432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 56*j + 292, -y + 226 = -4*j + 210 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c (base 16) to base 13.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/3 + 841*p + 12640\/3 = 0.\nAnswer: -5, 2528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003746 is divided by 3379.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -27. Let z = -11.0125 + u. Round z to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0*y**2 + 5*y**3 + 0*y**2 + 1. Let w(n) = 10*n**3 + 2. Let b(r) = -7*a(r) + 3*w(r). What is the derivative of b(h) wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34423 - 668*y - 34423 as g + n*y and give n.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11281172 or 11281175?\nAnswer: 11281175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/396 and 117\/308.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -26\/7, -2\/27, -5\/4, 1.8 in descending order.\nAnswer: 1.8, -2\/27, -5\/4, -26\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 3*l**2 + 26*l + 13. Let q(p) = -2*p**3 + 4*p**2 + 23*p + 14. Determine 9*q(d) - 8*v(d).\nAnswer: -2*d**3 + 12*d**2 - d + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:14 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1 + 5.1. Suppose m - 5*m = 0. Which is the nearest to 2\/3? (a) 3\/7 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x**3 + 10*x**2 + 20. Let f(b) = 5*b**3 + 3*b**2 + 7. Let i(w) = -17*f(w) + 6*q(w). Let r be i(9). Is (-7 - -13) + 0\/r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -4, -1, 3 in ascending order.\nAnswer: -4, -1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 11?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*u - 137*u + 26 = -5*c, -5*c - 15 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 27*i. Let u(o) = -7*o. What is b(u(n))?\nAnswer: -189*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -501, -639, -833, -1089, -1413?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-490))\/((-2)\/(-70)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/8 and 2928\/4805 + (62\/10 + -6)*-3.\nAnswer: 7688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 8302277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**3 - q**2 - q + 1. Suppose p - 2*p + 8 = 2*u, p - 14 = -3*u. Suppose u*y + 24 - 6 = 0. Let o be (2\/y)\/(2\/(-3)). What is v(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17308*m**3\/5 - 17306*m**2\/5 + 2*m\/5 = 0.\nAnswer: -1, 0, 1\/8654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f + 4 + 9*f - 6*f + 3. Suppose -z + 1 = 3*c, -2*z + 4*c - 1 = 7. Let h = z - -2. What is x(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 72.4281 and 0?\nAnswer: 72.4281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5217 is divided by 1301?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -739770 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 259 + -289. Let r be 2\/(6*(-2)\/t). Sort r, -1, 27 in ascending order.\nAnswer: -1, r, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 0 - (-101 + -83 + 243).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79219 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16487 + -8738107\/530. Let a = 5\/53 + h. Put -0.3, -0.29, -4, a in decreasing order.\nAnswer: a, -0.29, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 38898756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 31 = 4*r - 17, 0 = 3*a - 3. Let w = 2 - -1. Calculate the common denominator of 77\/8 and ((-9)\/4 + w)*r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 30*w - 11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -19312*f - 12. What is v(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - n + 4*n)*(0*n**2 + 0*n**2 + 6*n**2).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/11 + 80*v**4\/11 + 818*v**3\/11 + 1116*v**2\/11 - 2016*v\/11 = 0. Calculate v.\nAnswer: -24, -14, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1351000 to the nearest ten thousand.\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2, 12373 = 5*h + 6*q - 3*q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -57*z + 197. What is m(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 + 10100111?\nAnswer: 11110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 + 13*o**2 + 15*o - 3. Let q(b) = b**3 - b**2 - 2*b. Let j(f) = -2*q(f) - v(f). Find the second derivative of j(u) wrt u.\nAnswer: 6*u - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 9 = 0. Find the common denominator of 50\/(-104) + -4 + b and -7\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/84 - 3\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -3, 3, 320, -1, -2, -23 in increasing order.\nAnswer: -45, -23, -3, -2, -1, 3, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:51 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 17*r + 10*r = 0. Solve 0*q**2 + r*q**3 + 0 + 0*q**4 + 0*q + 3\/8*q**5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84867 - 84867 + 3597*r in the form i*r + w and give i.\nAnswer: 3597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11198?\nAnswer: 2, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c + 34. Let l(r) = 14*r + 102. Let y(n) = -17*i(n) + 6*l(n). What are the prime factors of y(0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*q - 13. Let p be -1 + q - 14\/10. Suppose 5*s - 15 = -5*j, 0 = -2*j - 5*s + 13 - 1. Is j >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 5, 0, 54386 in ascending order.\nAnswer: -27, 0, 5, 54386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 22 = -8. Let m be 2\/(-1) - (j + 4). Suppose 17*h - 48 = -48. Solve a + m - 1 = h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 5*m - 1. Give h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 11*s - 4. Let z = 5 - 14. Let f be x(z). Suppose f = -5*m - 6. Sort 2, m, 0 in decreasing order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m - 1. Let r(j) = 1407*j**2 - 2*j - 2. Determine -r(q) + 2*y(q).\nAnswer: -1409*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 214. Let q(s) = -s**2 + 1709*s. Determine q(n(f)).\nAnswer: -f**2 + 1281*f + 319930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 9:28 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 245 - 2. Solve o*g = 12*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 5*j + 56 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17632\/9 + 1956. Calculate the common denominator of -26\/17 and q.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*g - 15, n = 5*g - 0*n - 9. Let x = g - -2. Solve 0 = -b - b - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3024985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56893116?\nAnswer: 2, 3, 7, 96757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -275658 from 0.9.\nAnswer: 275658.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10858 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*p + 2 - 2 + 313*p + 199*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 - 126. Let p = k - 39. What is the remainder when 31 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(18\/27*3\/(-2)). Solve -5*o + q*o = 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 + 8*3\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41512199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cic when three letters picked without replacement from {f: 3, w: 6, i: 1, j: 2, t: 5, c: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-108)*-74 - 4. Let r(b) be the first derivative of 1\/3*b**2 - 2\/9*b - 14 + 2\/15*b**5 - 1\/27*b**6 - u*b**4 - 4\/27*b**3. Factor r(g).\nAnswer: -2*(g - 1)**4*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3768 is divided by 449?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/3 - 7*s**3\/6 - 32*s**2. Let q(x) = -7*x - 6. Suppose -5*o + 10 + 17 = 2*l, 3*l + 4*o = 30. What is l*q(u) - 5*g(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(832) - (1 + sqrt(832) + 2))**2.\nAnswer: -32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2643 to two decimal places.\nAnswer: 2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29*(45504\/2291)\/(-24).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1179*b = 34*b + 12511 + 35562 + 8938 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, z: 3}. What is prob of sequence kk?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333014 - 335820 = -61*h for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -79*t**4\/24 - 125*t**3\/6 - 34*t**2 + 4. Is 4 a factor of d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224\/4 + 1 + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/(13\/(-1612)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five sixths of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 - 18*j - 111. What is n(-7)?\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + 2*j, 0*j - j + 2 = 4*y. Let l(q) = -q**2 + q - 2. Let p be l(y). Let r be (-2)\/3*2*-3. Sort p, 3, r.\nAnswer: p, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38165980 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1844193325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 9:57 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -803030 + -4.\nAnswer: -803034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -354.0001015 + 354. What is a rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + -1.837. Let p = -1.497 - -1.56. Let a = p - w. Which is smaller: a or -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o - 146*o + 28*o - 3*o + 18*o.\nAnswer: -129*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.0039, 3, -1, 5, -5 in descending order.\nAnswer: 5, 3, 0.0039, -1\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, -2, 233\/3, 1.49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1562*a**3*i**3 - 15*a**3*i + 72*a**3 + 158*a*i**4 - 20*a*i wrt i.\nAnswer: -9372*a**3*i + 1896*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505241, -505344, -505515, -505754, -506061, -506436?\nAnswer: -506879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 24 = -3*d, 13*s = -d + 12*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/49)\/((1\/4)\/(1064\/608)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/57 - 100\/12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 428.82 + -433.6294. Let s = 4.8 + m. Round s to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 313249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 - (4308\/(-456) + 1) and -73\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189405 is divided by 7377.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 237*f**2 + 1843*f - 2533. Give i(229).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18 = 2*j, 5*r + 404 - 434 = 2*j. Find f such that j*f**2 + f - 1\/3*f**3 + 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11937, -11934, -11929, -11922, -11913, -11902?\n\"Answer: t**2 - 11938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 - 16 + l**3 - 3*l**2 + l**2 - 10*l**2.\nAnswer: l**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-152)\/((-9)\/90*4). Suppose -25*u + 870 = -t. What is the highest common factor of 800 and u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.650567 * -0.11\nAnswer: 0.07156237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 4:13 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 + -125. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12230 (base 5) to base 13.\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 103*l**2 + 2929*l + 8870. What is p(-25)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/295 or 1?\nAnswer: 48\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6747 - -40?\nAnswer: -6707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17200*s + 17195*s = 45 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 71410100 to the nearest one hundred thousand.\nAnswer: 71400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5789 times 38?\nAnswer: 219982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 298*q. Let z(a) = -2903*a + 5. What is z(c(m))?\nAnswer: -865094*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 - 80 + 85*l**2 - 32*l**2 to the form z*l**2 + w + v*l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 829493579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) + 0)*-3 + sqrt(147) + sqrt(147) + -1 + 1)*-5)**2 + (2*sqrt(480) + sqrt(480) + sqrt(480))\/(sqrt(90)*-5).\nAnswer: -16*sqrt(3)\/15 + 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 6. Let m be f(5). Let z = -8 - -56. Let r = z + -43. Sort r, m, -2.\nAnswer: -2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 665, 626, 551, 434, 269?\n\"Answer: -z**3 - 12*z**2 + 4*z + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + c = -34, -4*c - 3246 + 6330 = -8*f + 3160 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037058329 to the power of 1\/2, to the nearest integer?\nAnswer: 32203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 8 - 8)*(3 - 1 + 0)*(-3 - 1 + 6 + (0 + 3 - 1)*(5 + 4 - 5)) to y*a + z and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 79. Let f be n\/8 + (94\/8 - 4). Suppose -q + f = q. Solve -b = -x + 6, -x = b + q*b + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-638))\/((-48)\/(-70648)). Let g = -17\/116 - v. Let d = g - -21. What is the biggest value in -3, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/21))\/((m**(-1)*m)\/m))**(7\/13)\/(m*m*m\/(m**(2\/19)\/m)*m\/m**(-2\/5)*m)**(2\/11) assuming m is positive.\nAnswer: m**(-1709\/40755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33.63*10369\nAnswer: 348709.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbrr. What is prob of sequence bx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.43419.\nAnswer: 0.086838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1174069*v**3 - 2781*v**2 - 62*v - 2.\nAnswer: 7044414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/30*(-25 + (-1192)\/(-48))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:42 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q**3 + q + 314 + 316 - 2*q**2 - 627 to l + x*q**3 + w*q**2 + k*q and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*f + 301*f = 5*q + 38, 4*q - 4*f + 24 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j - 19. Let z(v) = 22*v - 37. Let s(b) = 5*t(b) - 2*z(b). Give s(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 6 + 3*j + 6)*(44*j**3 + 8*j**2 - 15*j**2 + 8*j**2).\nAnswer: 132*j**4 + 487*j**3 + 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:31 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.083 times -7146?\nAnswer: 29177.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4842\/(-65367))\/((-1)\/(-54))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -690*x + 1059. What is the ten thousands digit of v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 455*i + 12711. What is p(-28)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 16 = 5*y - 3*o, 3*o = -4*y - 7. Suppose 2*q**3 - 22*q**y - 6*q + 2*q**5 + 16*q + q**2 + 34*q**3 - 16*q**4 - 11*q**2 = 0. What is q?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29091 = 4*u - u + 2*o, o = 6*u - 58182. Is 54 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 - (-17)\/(221\/25064) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v + 8. Determine x(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43585476 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6078 at most 613890\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -7 + 0 + (-1 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/29, 0.3, 0.5 in increasing order.\nAnswer: 1\/29, 0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392925.\nAnswer: 5, 55717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3037053, -6074103, -9111135, -12148143, -15185121, -18222063?\n\"Answer: w**3 + 3*w**2 - 3037066*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 28. Suppose -m + 3*w + i = 3*m, -5*w - 4 = 3*m. What is the derivative of -2 + 2*f - m*f + 2*f**2 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 3*v**4\/8 + 193*v**2. Let c(x) = -7*x**2. Let b(l) = 13*l**2. Let p(k) = -6*b(k) - 11*c(k). Determine p(y(j)).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00739450239 rounded to five dps?\nAnswer: -0.00739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, d: 1, l: 2}. Give prob of picking 1 l and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*x = -360*x - 1368. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 plus -0.4?\nAnswer: -363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5 + 10 + (-1)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*w**4 - 623355*w**3 + 261755*w**2 + 24930*w = 0 for w.\nAnswer: -2\/25, 0, 1\/2, 2493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3216291*l - 6431635*l + 3215349*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1444258, -1444286, -1444314, -1444342, -1444370?\n\"Answer: -28*y - 1444230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -23. Let g = -2 + 4. Let t be 10\/3 - g\/6. Solve -x*p + t*p = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + 42\/56. Suppose i + 21 = 2*z. Suppose z*q - 1682 - 100 = 0. What is the highest common factor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -4. Let a be (4 + -3)\/(-1) - h. Let v(s) = s**3 + 5*s**2 + 5*s + 6. Let d be v(a). Is 2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*u - 29, 2*s - 31 = -3*u - 2*u. Let c = -643 - -642. What is the biggest value in c, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j. Suppose d + 70 = 5*t, 2*t + j*d - 4*d = 28. Is 1028\/28 + 4\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 162 = -5*g, -2*b - 393 + 685 = -2*g + 360 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {k: 6, v: 1, m: 1, u: 2, h: 4, j: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggggggggggggffgfgf. Give prob of sequence ggf.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3434 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 12126?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2*(-214)\/3)\/(2\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*u**3 + 0*u**3 + 2)*(-314081138 + 314081138 - 27641*u) to the form y + f*u**3 + d*u**2 + c*u + o*u**4 and give o.\nAnswer: 55282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49084044 divided by 6.\nAnswer: 8180674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 8)\/((2\/1)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11866*v + 130518. Determine s(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*g**3 - 29*g**3 - 20*g**3 - 23*g**3 - 21*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 13. Let c be h(0). Suppose -9*s + c*s - 56 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617672128?\nAnswer: 2, 293, 32939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2517004, 2516958, 2516884, 2516782, 2516652?\n\"Answer: -14*d**2 - 4*d + 2517022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*(-2)\/3. Let t = 1220\/7 - 174. Which is bigger: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7))**0*(h\/(h*h**(-8\/7)))\/(h**(-2)\/h) assuming h is positive.\nAnswer: h**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 108 in decreasing order.\nAnswer: 108, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b552b (base 16) in base 13?\nAnswer: 4a9435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**3 + 7*v**2\/2 - 2*v - 1. Let k be t(5). Let y = k - -76. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x - x)*(-x**2 - 3*x**4 + x**2) + 25*x**5 + 47*x**5 - 10*x**5.\nAnswer: 71*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 67 = 29. Suppose -2*g + 88 - 28 = 0. Calculate the remainder when g is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213\/2 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (10 - 4) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42365, 84682, 127001, 169322, 211645?\nAnswer: 253970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 3, d: 4, h: 2, p: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - -11)*1\/(0 + 1). Let n(k) = 1123*k**2 - 2*k + 4. What is the tens digit of n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1550)\/(-170) + -9 - 1\/(17\/70). Let l(u) = u - 6*u + 0*u - 1 - u - 2*u**2. Determine l(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*s - 7 = 0, -798*d - 32 = -799*d + 4*s. Suppose 0*i = 2*i + 2. Sort -3, 4, i, d.\nAnswer: d, -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 17 + 3. Determine z so that -z**5 - 48*z**2 + 4*z**5 + 5*z**4 + 3*z + 14 + 10 + 5*z**4 + d*z**4 - 6*z**3 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:21 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115 and -40845?\nAnswer: -4697175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-18 - 0) + 8 - 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*n - 8 = 0, -l = 2*n - 3*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 9 - 4) + (0 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 3, a: 5, m: 2, f: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.18 - 0.18. Suppose l + 3*z + 5 = -l, -4*l = 4*z + 12. Let q = l + 4. Which is the third smallest value? (a) x (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/8 - 4)*(-13 + (-133)\/(-35)) is divided by (1\/1)\/(1\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f + 17. Calculate x(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1172*d**3*f**2 - 13*d**3*f - d**2*f**2*j**2 + 3*d**2*f*j**2 + 184*d*f*j**2 wrt f?\nAnswer: -2344*d**3 - 2*d**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(16)\/(sqrt(72) - sqrt(8)).\nAnswer: -2 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -199?\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/25 + -39\/175. Which is the second biggest value? (a) o (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/2 - 2580\/840)\/(-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from mdddllppdpdmdcmdmm?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101845 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 54*z - 54*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q + 42. Give l(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -138. What is the remainder when 41 is divided by (-378)\/r - -3*(-1)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9934 - 6825. What are the prime factors of a?\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b - 5*f + 64 = 0, 2*b - 40 = -2*f. Suppose 5*n - 3 = -b. Let u(c) be the first derivative of c**3\/3 + c**2\/2 - 3*c + 1. What is u(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -11, 5, 29, 61, 101?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, 115, -5, -136.5?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-460)\/(-8) + 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 758.19 - 753. Let z = 5.7 - u. Let a = -0.510129 + z. What is a rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.32 - -0.18. Let q = 1.3 - 1.2. What is the third biggest value in t, q, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 4\/(-4) + (-1824)\/384. Factor -f*m**2 + m - 1.\nAnswer: -(m - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 10. Let g be c(-22). Let v = 14 + g. Factor 1\/5*q**3 + 0*q**v + 0 - 1\/5*q.\nAnswer: q*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.2. Let g = -1 + y. Let t be (-2)\/(-30) + (-2)\/(-6). Which is the closest to g? (a) 2 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4 - 3*g + 15*g - 16*g - 5. Determine t(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*s - 8 - 8 - 39 + 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/24855516 and 1\/522.\nAnswer: 720809964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 51982.13\nAnswer: -31189.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1092285 and 70122.\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*a**6*d + 4187*a**5*d**2 - 3254*a**2*d**2 + a - 9*d wrt a.\nAnswer: 3000*a**3*d + 251220*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2, -5, 630.\nAnswer: -5, -2, 2, 4, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 + 21825928*p + 59546391632648 = 0. What is p?\nAnswer: -5456482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 433 = -192*r + 187, -755*r + 3*z = -759*r - 2*z - 98 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32010977?\nAnswer: 317, 100981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 88\/5, -3, 8, -1\/8, 1, -8.837?\nAnswer: -8.837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2975, 2956, 2937, 2918, 2899?\nAnswer: 2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/34 - -2) + 462\/119\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 1 + ((sqrt(189) - 6*(-4*sqrt(189) + sqrt(189))) + sqrt(189) - sqrt(189))\/sqrt(7) + -1)**2 + 0.\nAnswer: -2280*sqrt(3) + 48815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5077992*0.1.\nAnswer: 507799.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 175\/20*(376\/(-280)*-5 - 7)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*w = -4*g + 12, 4*w = 2*g + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:59 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21*t - 18. Let i be v(-2). Let w = -20663 + 186187\/9. Let q = w - i. Which is the third smallest value? (a) q (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -1)**2 + sqrt(162) - sqrt(162) - 6*(sqrt(2) + (-1*sqrt(2))**2 - sqrt(2)).\nAnswer: -18*sqrt(2) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.047 - 0.047. Let d = -91006734 - -91006701.9999864. Let x = f + d. Round x to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 231388*m + 925616.\nAnswer: -4*(m - 4)*(m + 57851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9 = -3*w. Suppose w*m - 657 = 945. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -13. Let l = -13 - -16. List the prime factors of (10 - l)*w\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -54. Suppose -76 = m*r - 8*r. Let x = r + -20. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 34 + 66. Let q be 0\/(-1) - (1328\/(-581) - 6\/(-21)). Find the first derivative of -s*d**2 + 13*d**q - 5 + 16 + 4 wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 3770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(7) + 0)*6*5 - (-2*sqrt(112) + sqrt(70)\/(-2*sqrt(10))).\nAnswer: 137*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54045, 46042, 38039?\nAnswer: 30036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Suppose 2*s = k - 0. Solve 5*h - 21 = -s*c, -2 = -5*h + 4*c + 31 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2211, 4437, 6663, 8889, 11115?\nAnswer: 13341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*y + 2*o - 0*o, -8 = 4*y - 4*o. Let a(h) be the second derivative of 0*h**3 + h + 0*h**y - 1\/12*h**4 + 0. Let w(m) = m**2. Determine a(w(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226710677?\nAnswer: 226710677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/2 + 88702646*r + 3934079703700658 = 0. What is r?\nAnswer: -88702646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6711371*o**5 + 8591344*o wrt o.\nAnswer: 134227420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {y: 2, j: 2, x: 4, f: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -13, 5\/6, 19, 0?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -11*f**6\/5 - f**5\/60 - 19*f**3\/6 - 60*f**2. Find the third derivative of m(g) wrt g.\nAnswer: -1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - 1308\/(-10). Let d = -133 + v. Is 74 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2*3\/(-2). Let a be (4 + (-3)\/h)\/1. Suppose 4*l - a*w = -23, l + 3*l = w - 11. Is -1 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163893803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - 2 - (57 + -75)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1862) + ((sqrt(1862) + sqrt(1862)*2 - sqrt(1862))*-1 - sqrt(1862)) - sqrt(1862))\/((sqrt(72)\/sqrt(4) + sqrt(18) + sqrt(2))*5).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-35))\/(1368\/(-1520)). Sort z, 0.5, 5, -4\/7.\nAnswer: -4\/7, z, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:52 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.95 - -2.9. What is the third smallest value in n, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:29 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5619*n**2 - 1623*n**2 + 17421*n**2 + 11018*n**2 + 13238*n**2 as l*n**2 + f*n + g and give l.\nAnswer: 34435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.3000079 - 14.3. What is i rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 7*v. Suppose 0 = -12*f + v*f + 56. What is the lowest common multiple of 36 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/16)\/(-17) - ((-82)\/(-24) + -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6420*k = 884*k + 284856 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11685 + -11709.071. Let o = i + 24. Let n = -0.06955 - o. What is n rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 3) + 0 + -2 + -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-12 + 13 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -a + 23, 3*a + 4*w = -11. Suppose a*m - 137 = 2*b, -m + 2*m - 48 = 3*b. What is the remainder when 178 is divided by m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**2*u - 55297717*t**2 - 16*t + 2429616*u wrt t.\nAnswer: 4*u - 110595434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85145 + 10*t**3 + 12*t**3 + 85145.\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -17. Let r = u + 54. Suppose -r*s + d = -57, 3*d + 21 = 5*s - 30. What is the highest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(69\/(-18))*988\/39. Calculate the greatest common factor of o and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 + 258*v - 405600. Let u be m(0). What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 50 = 6*j. Suppose j*k + 3 + 2 = 0, -c + 5 = 5*k. Solve -3*h + 5*h = -c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + q + 3*q)*(q - 2*q - q) + 448*q**2 - 171*q**2 + 370*q**2 to the form o*q**2 + m + r*q and give o.\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0582189 to 3 decimal places.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4847 or -4845?\nAnswer: -4845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1068 and 534.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611 = 4*g - 47*d, 8*g - 4*d - 52 = 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuu. What is prob of picking 1 i and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let a(i) = -41531*i + 2. Determine a(z(o)).\nAnswer: 41531*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 16*s - 70*s**2 + 2 + 1\/4*s**5 - 55\/12*s**4 + 80\/3*s**3. Let m(c) = 0. Calculate c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 4*r**2 - 4*r + 3. Let m be z(2). Let w be 0\/(0 - 3 - m). Solve -v + 0 - 2 = w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11318406571+281.7\nAnswer: 11318406852.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*x**6 - 13*x**2 wrt x.\nAnswer: 4320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) -1\/6 (c) -0.051 (d) 2\/271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*12\/4 - -5. Calculate the greatest common divisor of 8 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcccnncnb. What is prob of sequence nbcn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = -18*o + 11*o - 260 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1393, -1462, -1531, -1600?\n\"Answer: -69*a - 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 + 2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m - 45885 = 70*m. Which is greater: -398 or m?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 4. Let r be y\/99 - 1*(-4)\/18. Suppose 5*q - 9 - 16 = r. Which is the fourth biggest value? (a) -1\/10 (b) q (c) 4\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0.2 (c) -837\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*n**3 - 452*n**3 + 6462*n**2 - 6462*n**2 + 225*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 69. Let l = -5 - -5.4. Let d = l + 0.2. Is v >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 15. Let d(g) = -g**3 - 6*g**2 + 5*g - 7. Let z be d(-7). Let l be r(z). Let n(h) = h - 6. Let o be n(10). Solve o*v + 0*v = l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-24)\/56*1\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 + 27*f + 20. What is j(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 2*o**2 + 8*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*(-152)\/(-3). Calculate the common denominator of -2 - -6 - l\/(-14) and 6\/10 + 216\/(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from eeeeezzzzeze.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/9 (c) -1\/7 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852\/(-10)*25*70\/(-50).\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053442 to the power of 1\/2, to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 6. Let r(d) = 10*d + 13 + 2*d - d. Suppose 0 = 4*g + s + 20, -3*s = -0*s - 12. What is g*r(m) + 13*x(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10718466 divided by -7667?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -942.712+34595\nAnswer: 33652.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11718.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893110 equal to 2893110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - (-140)\/16. Let u be (9\/h)\/(2\/(-216)). Let b = u - -152. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - j + 14 = 0, 5*b = -444*j + 445*j - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(612) + 0 - sqrt(612) - sqrt(612)) + -4*(sqrt(612) + -1) + -1 + -1*sqrt(612) + sqrt(612) + sqrt(612) + -1 + 3)**2.\nAnswer: -60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -20. Let h = 0 + 5. Solve -3*p + 4*f + y = 0, 5*p + f = h*f + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856 - 2 = -122*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7775 = 5*d, 3*s + 3*d = -d + 7793. Suppose 6*x + 483 = s. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -3, 2, 250 in descending order.\nAnswer: 250, 4, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*sqrt(68)*5)*1*-5 + -4)**2.\nAnswer: 600*sqrt(17) + 42536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342144 and 10432?\nAnswer: 55769472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g**2 - 3*g**2 - 2*g**2)*(-22*g - 38*g + 6*g) to v + f*g**3 + m*g**2 + s*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 10. Let f be t(5). Let v = 17 - f. Suppose 14 = 4*x - v*r, 5*x + 2 = -r + 9. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139855, 279710, 419565, 559420, 699275?\nAnswer: 839130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 1\/2, -5\/2 in ascending order.\nAnswer: -5, -5\/2, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:35 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 19 = -11. Let s(a) = a**2 + 3*a + 9. Calculate the remainder when s(d) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 11*b + 37248 = 0. Let l = b + -1181. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 4*v**2 + 1. Let r(g) = g**2 + 3*g - 4. Let i = 5 - 8. Let j be r(i). Give t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -0.58 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 142347.06 months?\nAnswer: 118.62255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -1915, -7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16591 and 877205.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34.11 and -60?\nAnswer: -2046.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4920000712081 - 4919992181202.2999735. Let p = k - 8530881. Let z = p + 2.3. What is z rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpuusswssspusssuu. Give prob of sequence ssu.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s\/(s*(s*(s\/s**(1\/5))\/s)\/s)))\/s)**(-2\/91))**(4\/7) assuming s is positive.\nAnswer: s**(-32\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25225330 (base 8) in base 10?\nAnswer: 5581528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366.1 - -402. Let u = k - 35.89617. Round u to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -319?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 10540 - 36613. What are the prime factors of c?\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**3\/6 + 367*j**2 - 7842*j. Let w(l) = 2*l. What is d(w(o))?\nAnswer: 2*o + 734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6221 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46325873947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let o = 7 + -6.9. Let n = o + v. Which is the second smallest value? (a) n (b) 2\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98812392 divided by -588169.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1031*d - 42283. Calculate m(41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128676473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2. Suppose f = 3 - 5. Let m be y(f). Differentiate -x - 5 + m - 5 + 6*x wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/4 + 12665*i\/4 - 342645\/2.\nAnswer: 5*(i - 53)*(i + 2586)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 298725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0) + 16 - (2 - -26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -473*j - 74699. Calculate d(-164).\nAnswer: 2873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 50*p + 531.\nAnswer: -(p - 9)*(p + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-30)*z**27)\/(z**(-3\/14)*z\/(z\/(z**(-3\/8)\/z))) assuming z is positive.\nAnswer: z**(33\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2032 (base 8) to base 15\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 5*m - 3*r + 68 = 0, 0 = -5*r + 5 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -843046 - 0.11\nAnswer: -843046.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/5 - h**3 - h**2\/5 + h - 2\/5.\nAnswer: (h - 1)**2*(h + 1)*(3*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3381.9 + -3382. What is the nearest to c in 0, 2\/3, -0.057?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 - 54*q - 154. What is the hundreds digit of k(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -3\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -557 - -550. What are the prime factors of 0 + (-30820)\/(-28) + (-2)\/b?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*1 - (-535337)\/82 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 54561 = 3*g - 169544, -2*g + 149375 = 3*v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 3. Suppose 28*l = -46*l - 7*l + 1944. Calculate the smallest common multiple of c(-5) and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 105*c = 370 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/11, -578, -0.2, 0.3, -136, -0.1, 3?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0832755 rounded to 3 decimal places?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832 - 1276 = 143*h + 37 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 148\/24 + 1\/(-2). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 17 = 3*z, -6600*g - 5*z = -6584*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 23, -3, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301 and 12728?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + 12 + 3*1. Let l(u) = -u**3 + 5*u**2 - 5*u + 2. Let y be l(w). Suppose y*k - 45 + 0 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -980 - 115c8?\nAnswer: -12058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 33895*f - 372664. Give v(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 265 (base 14) to base 8\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1) + (14 - -21) + -31.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 + 0 = 0, 4*s = -4*f - 8. Find the third derivative of d - 5983 + 5983 - 97*d**f - 2*d**2 wrt d.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3398, 9731, 16050, 22349, 28622, 34863, 41066, 47225?\n\"Answer: -b**3 - b**2 + 6343*b - 2943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -9659387, 0 in decreasing order.\nAnswer: 4, 0, -1, -9659387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75 + 75 - 103*s + (-3 + 0 + 2)*(2*s - 1 + 1).\nAnswer: -105*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4484 = -31185*m + 31421*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2. Let r(x) be the first derivative of 3*x**2 + 138. Calculate r(o(a)).\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0 + 20. Suppose -5*s + 3*s = -4*r - 272, s - 4*r - 126 = 0. Let x = s + -130. Calculate the highest common factor of y and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*l + 5, -4*y + 5*l = 3 + 2. Suppose y = -7*v + 102 - 11. Calculate the remainder when 51 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 0.5, -153, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**5 + 904255*i**4 - 8*i**2 - 4012*i - 35?\nAnswer: 120*i**2 + 21702120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s**2 + 258*s + 32. Determine g(-16).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -168\/17 and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114504.299996 + -114505. Let j = g - -0.7. Round j to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 7*h + 5. Let l be t(-7). Suppose l*q + 4 = 14. Let g(j) = -j**3 + 5*j**2 - 5*j + 10. Let z be g(4). Solve -z = -q*m - m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 8*q + 2*q + (0*q + q - 3*q)*(-294 + 154 - 500).\nAnswer: 1275*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -21*f. Let j(w) be the third derivative of -21*w**2 + 0*w**4 - 1\/60*w**5 + 0 + 0*w + 0*w**3. Give j(u(x)).\nAnswer: -441*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, w: 4}. Give prob of sequence qwww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68823, -137712, -206601, -275490, -344379?\n\"Answer: -68889*y + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -93. Let r = 0.01 - 0.01. Which is the second biggest value? (a) r (b) -0.7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33313\/8 - 4170. Find the common denominator of f and 94\/8 + (0 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s + 4. Let z be 1\/(-1) + (-1)\/s. Find the second derivative of 5*a**5 + z*a**5 + 2*a**5 - a - 4*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -18*x**2 - 29*x - 99. Is 6 a factor of g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*u + 866*u + 778*u.\nAnswer: 1203*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 76, -1 in descending order.\nAnswer: 76, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42.23 - 3.21. Let h = t - 0.02. Let v = -39.00059 + h. Round v to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - t = -5*t - 65, -2*t = 3*y - 61. Let m(h) = -h**3 + 18*h**2 - 17*h + 12. Let v be m(y). Solve 4*n + v = -0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -546.578 (b) 0.4 (c) -4 (d) -2 (e) 42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)\/a)\/(a*a*a**(1\/5)*a*a)*(a*a*a\/a**7*a*a)\/a*a*a**(-3) assuming a is positive.\nAnswer: a**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 1\/2*h**2 + 0 + 1\/6*h**3 - 3*h - 7\/12*h**4. Calculate q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2693 + 2697. Let d(w) = w. Let j(x) = -5*x. Give a*d(m) + 4*j(m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 3*d. Suppose 2*m = -5*a - d + 14, 5*m - 30 = -4*a. Let r be (7 - -245)*4\/m. Calculate the greatest common divisor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4474600, -4474607, -4474616, -4474627, -4474640, -4474655, -4474672?\n\"Answer: -h**2 - 4*h - 4474595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1323)\/14)\/(-21)*-2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5315?\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + h**3 - 2*h**3 - 3 + 5*h - h**3 as r*h**2 + d*h**3 + p + g*h and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2645, 4\/9?\nAnswer: -2645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 161.5. Which is the biggest value? (a) 10 (b) s (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 50, 41, 18, -25, -94, -195?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113220?\nAnswer: 2, 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than -137\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 121\/6. Let j = -2 + 1.5. Let r = 6.7 - 1.7. Which is the nearest to -1? (a) j (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48, 232, 416, 600, 784?\n\"Answer: 184*r - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4212)*2)\/(sqrt(16)*-3).\nAnswer: -3*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -32. Let r(n) = 2*n**2 + n - 2. Let y(j) = j**2 - 44*j + 22*j + 22*j - 1. Calculate b*r(k) + 3*y(k).\nAnswer: k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-4)\/(-1))\/((-21)\/7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1996 + -0.2. Round o to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.0443, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3463.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x - 52 = 51 + 49. Which is the closest to 0.1? (a) 0.4 (b) -0.5 (c) -161 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*r**3 + 60*r**3 - 122*r**2 - 484*r**2 - r.\nAnswer: 5*r**3 - 606*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -30 (c) 2 (d) -5\/3 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 112, 99, 74, 31, -36, -133, -266?\n\"Answer: -q**3 - 6*q + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**2 - 13*d**2 - 20*d**2)*(d + d - 1 - d).\nAnswer: -20*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - -6.1. Let s = -6.5 + h. Let w = -23 - -24. Which is the third smallest value? (a) w (b) 2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 117 = 34*a. Suppose 5*x + 241 = 4*q, -a*x + 5*q = -9*x + 200. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -18*u + 65. Determine q(8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, -3, 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 615 = 69*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 0, -r = -6*r + 4*i + 1. Let g be (-2)\/r*23*9. Let s = -688\/5 + g. Which is the biggest value? (a) -1\/8 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 + 0.4. What is the second biggest value in -1\/6, 50, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 11*v**2 + 4*v. Suppose 4*m - 3*m + 2*o - 9 = 0, -5 = 5*o. Let f be a(m). Let l = f - 29. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2465 + 2.2465. Which is the closest to -2? (a) 1 (b) 2\/55 (c) m (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7923620 and 35656290.\nAnswer: 71312580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4348*n. Let x(i) = -362*i - 1990*i**2 + 1992*i**2 + 362*i. What is x(u(a))?\nAnswer: 37810208*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 16*a - 37. Let n(w) = -24*w + 52. Let u(z) = 5*n(z) + 7*t(z). Let l(x) = 7*x - 1. Determine -6*l(v) - 5*u(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74834171?\nAnswer: 74834171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdag when four letters picked without replacement from mmargardgmdmmmga.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.413? (a) -1\/3 (b) 2\/9 (c) -2\/19 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 63. Suppose 7 = -k*u + 32. Let f be 1\/2 + (-93)\/(-6). Solve -f = -3*o - p, 4*o - 15 = -0*o + u*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 5*b - 21. Let v be w(5). Suppose 3*f - 5266 = -4*r + 4547, -v*f + r = -13084. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*n + 1074*n = -209*n - 428*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((6*(sqrt(170) - sqrt(170)*-1) - sqrt(170))\/sqrt(10) - (6*-1*sqrt(1088))**2).\nAnswer: -156672 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*g + 21, -i = 4*g - 2 - 2. Let z(t) = t**3 + t**2 - 3*t - 3. Let a be z(3). Calculate the highest common divisor of i and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*t - 7577 = -760 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9355 - 9317. Solve -16*g = p - 150 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012049 to 7 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4634.\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.5. Let t = o - 0. Sort 0.2, -0.2, t in descending order.\nAnswer: t, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = a - 70. What is the greatest common factor of 80 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19005721?\nAnswer: 7, 449, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0. Let z be -5 + 7 + (-6)\/4. Let q = -0.0023 - -2.0023. Which is the second biggest value? (a) 0 (b) v (c) z (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*i = -2, z + 1 = i + 2. Suppose z = 2*k - 0*k. Solve 30 = -5*a + 5*c, k = -2*a - 3*a + c - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.15 (b) -1\/1776 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.586 times 25.73?\nAnswer: -15.07778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**2. Let p(g) be the second derivative of -g**4\/12 - g**3\/3 - 137*g + 1. Give p(m(v)).\nAnswer: -100*v**4 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (sqrt(132) - 6*sqrt(132)*-2)) + sqrt(132) - sqrt(132)*-2*-6)\/(6*(sqrt(44)*1)\/sqrt(4)).\nAnswer: -22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-1 - 15 - (61 + (-109 - -124))).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:01 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2887 + -1579. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(4 + -3))\/(-94 - -95). Let q = 10 + -7. Let t be 4\/(-1*(2 - q)). Solve 4*z = -m*z - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41111 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: Two letters picked without replacement from amghglol. What is prob of picking 1 h and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*2*-2)\/sqrt(10)*1.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -7\/4, -33969?\nAnswer: -33969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31135 is divided by 209.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 + 1 = 0. Suppose c*r - 6*r = 2*y - 44, -4*y + 88 = -4*r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 3*i**3 + 2*i**3 + 12*i**2 + 2*i - 2*i**3 - 2. Let u(t) = -8*t + 3. Let d be u(1). Is r(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w - w)*(4*w - 60 + 119 - 63) - 2*w**2 + 3*w**2 + 2*w**2.\nAnswer: 11*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (752\/80 - 315\/(-525)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.214464 times 0.4\nAnswer: 0.4857856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18147 - 18142. Sort g, -2, 0, 4561 in increasing order.\nAnswer: -2, 0, g, 4561","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r. Let q be o(-1). Suppose -d - 3*f = -1, -5*d - 2*f - 25 = 22. Let z = q - d. Solve -k + 12 = -z*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 22 = 5*r, 0 = -4*b + 2*r - 0 + 16. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 81193?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Suppose 1052*i = 1067*i - 180. Which is the fourth smallest value? (a) 4 (b) 1 (c) m (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(4\/9)*w*w\/(w*((w\/w**11)\/w)\/w)*w*w\/((w**1\/w)\/w)*w*w**(-11\/5) assuming w is positive.\nAnswer: w**(731\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -20e97?\nAnswer: -20e94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101814 by 33938.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -30. Suppose 5*z + o = -4*p, 2*z + 2*p = -0 - 2. Let k be -6 + 3 - (-229985)\/z. Round k to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 54*l - 47927*l**2 + 47927*l**2)*(-3 + 0 + 5)*(0 + 2 - 1).\nAnswer: 2*l**4 - 108*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 5*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 48*s - 138. Determine t(6).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:13 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.982 rounded to 1 dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5401421739?\nAnswer: 3, 7, 59, 107, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99409024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 11 = -5*t, 0 = -568*m + 565*m - 3*t - 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/6 - 31045*d**2 + 621150*d - 9318500\/3.\nAnswer: -5*(d - 10)**2*(d + 37274)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29998 greater than -0.103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 + 0.6. Suppose -4*q - 2*h + 254 = 0, 3*h - 5*h + 10 = 0. Let x = 243\/4 - q. What is the nearest to -0.1 in -1, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 + (5 + -3 - 2\/(-2)) is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 13931*h - 83550. Give o(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*j = 120, 68 = 2*b + 4*j - 12. What is the highest common factor of b and 5080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*v**2 + 6*v**3 - 18*v**2 + (-2*v**3 - 4*v**3 + 5*v**3)*(4 + 2 - 4))*(-v**2 + v**2 - 3*v**2).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/36 - 928\/(-1920).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154327\/18 + 8577. Calculate the common denominator of o and 145\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*t**5 - 13044238*t**4\/3 - 24415114*t**3\/3 - 3239528*t**2 + 1626047*t\/3 - 25210\/3 = 0. What is t?\nAnswer: -1, 2\/115, 1\/9, 12605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82*1*2087\/(-4174)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + -2*1*sqrt(1088) + 5.\nAnswer: -8*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.61 + 0.39. Let f be 225 + -218 + (0 + 1)*-9. Is o greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.055 in -0.5, 4, 1\/4, -204?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-66)\/24)\/(-11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + 238\/56. Suppose 0 = -3*v + p + 12, -p + a = -v + 2*p. Suppose 27 = 4*m + 7, 139 = 3*i + v*m. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 4*j. Let o be k(5). Suppose 0 = -4*c - o + 163. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5455780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3671974.\nAnswer: 2, 691, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 345\/(-805) - 348\/21 - 15.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.5717 nanoseconds to minutes.\nAnswer: 0.000000000976195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60922, -60923, -60924, -60925?\n\"Answer: -j - 60921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a - 4*a**4 + 18*a)*(2*a - 2*a - a).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, d: 3, a: 5, v: 2, h: 1}. What is prob of sequence cacd?\nAnswer: 15\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 3, -1, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 1:57 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Suppose 6 = -0*u + 3*u. Let r(t) = t**2 + 0*t**u + 4*t**2 - 4*t**2. Calculate r(m(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 13*v + 54 = 0. What is the remainder when (-1 - 5) + 738\/v is divided by 66?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 + (-2 - (-5 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352471705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -53*k**3 - k**2 - 195*k - 6. Let g(h) = -106*h**3 - h**2 - 391*h - 10. Let r(m) = -3*g(m) + 5*u(m). Find the second derivative of r(q) wrt q.\nAnswer: 318*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81154930 rounded to the nearest ten thousand?\nAnswer: -81150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 944 + 1681. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5490 and 6572628?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219352703287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/7 + 33864*s**3\/7 - 286319878*s**2\/7 - 6311335272*s\/7 - 34734895129\/7.\nAnswer: -(s - 16943)**2*(s + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 + 2*k**2)*(k - k + 2*k**2) + 21*k**3 + k**2 + 2*k**4 - 27*k**3 + 2*k**2.\nAnswer: 4*k**4 - 6*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (3 - 24\/4). Suppose y*u = 5*z - 33, z - 77 = u + 4*u. Let g = u + 34. What is the smallest common multiple of g and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*8\/4*2\/(-16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -48*h. Let k(q) = 10*q**2 - 11581*q + 23159*q - 11578*q. Calculate k(p(v)).\nAnswer: 23040*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1 + sqrt(325)) + sqrt(325))*6 + 1 - (1 + (sqrt(325) - 6*(sqrt(325) + sqrt(325)*1 - sqrt(325))) + -1))**2.\nAnswer: -1330*sqrt(13) + 16286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u**3 + 4*u**3 - 73*u**3 - 103*u**3.\nAnswer: -148*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/4960 and 51\/112.\nAnswer: 34720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19206 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267398157?\nAnswer: 3, 13, 31, 221173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 261764886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.086634 + -22.913366. Let o = -4 + 3. What is the smallest value in -0.06, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/3 - 20*d - 59\/3 = 0 for d.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 18*m = 91. Let i = -10 - m. Which is greater: i or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1972.\nAnswer: 197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2 = 5*p. Suppose -5*k - 5*r + 2*r + 188 = 0, -p*r + 187 = 5*k. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -38. Suppose -u*d = -144 - 190. Suppose d = 2*l + 3*s, 10 = 4*s - 2*s. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) 14 (c) -2\/21 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*d - 108 = 3540 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 10*h**2 + 5. Calculate x(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, 335, 699, 1063, 1427?\nAnswer: 1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3\/9 + 80*g**2\/9 = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -961 + 7679\/8. What is the common denominator of o and -107\/230?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891242021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 275, 142, 9, -124, -257?\n\"Answer: -133*t + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 2*j**2 + 1. Let w = 512 + -525. Let b be 2\/w - 11\/((-1144)\/16). What is o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*c + 1950*c - 663 + 663.\nAnswer: 2246*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y = -4*y - 18*y - 159*y - 12921 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884, -881, -876, -869?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 11?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(3 - 1 - 6)*(-11*k - 6*k + 26*k).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52915 = 1436*a - 4221*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 24 - (-1 - -10 - (54 + -53)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + c)*(2*c + 3*c - 4*c) - 105*c**2 - c - 45*c**2 - 18*c**2.\nAnswer: -170*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**2. Let t(i) be the second derivative of -9*i**3 + 5982*i. What is c(t(x))?\nAnswer: 49572*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 347533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 19\/2107, 4, 3, -0.5, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57)\/57 + 84\/(-3). Let t = -2 - 1. Let p = t - u. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1035 divide 2937247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -67. Find the second derivative of c*v - 20*v + 5*v**2 - 29*v wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010100010 (base 3) in base 11?\nAnswer: 2944a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2. Let q(g) = -2*g - 49. Determine w(q(z)).\nAnswer: -8*z**2 - 392*z - 4802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*5 - (sqrt(84) + -4*(sqrt(84) + -1*sqrt(84))))\/((sqrt(12) + (sqrt(12) - -4*sqrt(48)))*6).\nAnswer: 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11483?\nAnswer: 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 4:32 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/15991803 and 64\/1776867.\nAnswer: 15991803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.5? (a) 224 (b) -11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 - d**2 + 37*d - 2. What are the prime factors of h(-6)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 6. Let u be n(9). Suppose 0 = w + u*w - 4. Solve -5 + w = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvtkttwtkttwjvx. What is prob of sequence tj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(-11*17\/1122).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1114528 and 164537.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010 + 3042403?\nAnswer: 3041343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -699 + 1330. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981984760 rounded to the nearest 1000000?\nAnswer: 2982000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 480861, 961704, 1442537, 1923360, 2404173?\n\"Answer: -5*k**2 + 480858*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -30 + -64 + 37.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - 14\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l - 2)*(-l + 1 - 1) + 5*l - 5*l - 2*l**2 + (-1 - 3 + 5)*(-21 + 11 - 19)*(2*l**2 - l**2 - 2*l**2).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583059.\nAnswer: 3, 194353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7957188*c**2*h**2 - 6*c*h**2 - 1443202*h wrt c.\nAnswer: -15914376*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.1, -2, 65?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0728 rounded to two decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*z - 111, -5*z + 4*s + 285 = -s. Let l = z + 215. Suppose 0 = -2*x + l - 19. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 18*o**2 - 24*o + 40.\nAnswer: 2*(o - 10)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*v - 23 = 0, -8*v + 4*v = 20. Let c be ((-21)\/(-6) + -2)*10\/(-5). Let x be (-2)\/3 - (-1)\/(-3). Put x, c, q in increasing order.\nAnswer: c, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3734, 3751, 3784, 3839, 3922, 4039, 4196, 4399?\nAnswer: 4654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 2 h when four letters picked without replacement from hdkhbbggbxxgx?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5820100 and 175010?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002792512461 to six decimal places.\nAnswer: -0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3788.431*0.1.\nAnswer: -378.8431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1662214\/15 and -110814 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -5*z. Suppose 0 = l + z - 8. Let v be (-3 + l)\/(104\/(-35) - -3). Solve -23 = -2*r + 3*r - 5*f, -v = -5*r - 5*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(384) - (sqrt(384) + sqrt(384)*-4)))\/(4*sqrt(12)*-3) + -1.\nAnswer: -1 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -47 + -28 + 2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*p**2 + 20*p**4 + 12*p**4 + 2*p**3 + 15*p**4 + 78*p**2 - 43*p**4 - 2*p to v*p**3 + u*p**4 + b + y*p + t*p**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/18 - (-4)\/(2 - 4). Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**3\/3 - 13*m**2\/2 + 12*m - 1. Let f be o(12). Let c(i) = 2*i + f*i + i. Let z(y) = y. Determine c(z(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7438?\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911 a factor of 1338993972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (46\/115)\/((-4)\/10)*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 6*t**2 + 5. Let d be v(-6). Let b be (2\/d)\/(8\/5). Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300005 - 0?\nAnswer: -300005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 134, 121, 80, 5, -110, -271, -484?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7606 is divided by 2531?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5349\/11 - 39\/143?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5712 + 377?\nAnswer: -5313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 20\/9, -4\/9, -0.3?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 103, -3, -1 in descending order.\nAnswer: 103, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15623*y - 9934*y + 2*y**2 + 3915*y + 4492*y.\nAnswer: 2*y**2 - 17150*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(9)\/sqrt(3)) + sqrt(243)\/(sqrt(36)\/sqrt(4)) + 4 + sqrt(243) + -1*sqrt(243))*2*4.\nAnswer: 32 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -54, -85, -118, -153?\n\"Answer: -p**2 - 26*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4081 is divided by 100?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -332*o - 24. Is k(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66692.46 litres to millilitres.\nAnswer: 66692460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 379*g**2. Let c(i) = 7*i - 37*i + 9*i + 12*i + 7*i. What is c(o(k))?\nAnswer: -758*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(16\/5)\/(q\/((q\/(q**(-23)*q))\/q)))\/(q**8\/q**(-2\/59)))**(7\/3) assuming q is positive.\nAnswer: q**(33383\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 230997.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l + 332. What is g(19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9617 - 9617 + 2*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.496 + 5.489481. Round w to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/17082 and 62\/773577.\nAnswer: 1468249146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + 7. Let m = f + -106. What is the third smallest value in 1, 2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7529643 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4442, -8926, -13422, -17936, -22474, -27042?\nAnswer: -31646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -26*z + 119. Let m(p) = 9*p - 40. Let o(y) = -4*b(y) - 11*m(y). Let n be o(7). Let s be 28\/77*(-2)\/8. Which is bigger: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23597411 and 4?\nAnswer: 94389644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 8*m. Let w = -3 - -2.9. Let t = -12.5 - -12.2. What is the second biggest value in m, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i = -38*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -150361857 and -0.00696.\nAnswer: -150361857.00696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21417 is divided by 10706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/sqrt(4))\/sqrt(9) - ((4*sqrt(7))**2 + -1)) + (sqrt(252) + (sqrt(252) - (sqrt(252) - 3*sqrt(252) - sqrt(252)))*4)**2 + 5.\nAnswer: sqrt(7) + 72722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103979831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 25, 8, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(1320\/825)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2924 = 372*g + 3558 + 214 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 5*w - 15500. What is w rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15415995 is divided by 346?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/60 + 38*p**3\/3 - 2*p. Let f(l) be the second derivative of x(l). Let m(y) = -y + y + 2*y. Give f(m(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) - (-1 + -4). Let v = -172.975 - -172.775. What is the nearest to -0.1 in 0.5, -5\/6, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*s**2 - 54*s**3 + 1 - s**4 + 23*s**3 + 36*s**3 to z + x*s**2 + q*s**3 + k*s + j*s**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4906, 4904, 4902?\nAnswer: 4900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -761855, 0 in decreasing order.\nAnswer: 5, 4, 0, -761855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/755248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13848 times 2.3556?\nAnswer: -32620.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*q + 57 = 4*b, -5*q = -5*b + 90. Let f = 15 - q. Let m be (-140)\/(-34) - f\/255. Solve 22 = -m*w + 2*l, 3*l - 2 = 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-415)\/(5*(-5)\/(-25)). Find the common denominator of (-12)\/(-28) + d\/21 and 30\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246576 divided by -22.\nAnswer: 11208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.09 + -0.21. Let g = 7 + i. Let d be 40\/(-20)*((-3)\/(-12))\/(-1). What is the third biggest value in g, 2\/9, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - x + 81, 4*o - 268*x = -266*x + 108. What is the remainder when 43 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 140, 147, 154, 161, 168?\n\"Answer: 7*k + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 663736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*c**3 + 24892*c**2 - 8553084*c.\nAnswer: -84*c + 49784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169790486.\nAnswer: 2, 359, 236477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/40)\/(-5*162\/900)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -221133 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 4999, -44, 9 in descending order.\nAnswer: 4999, 9, 3\/8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114443145*p**4 - 135399109*p wrt p.\nAnswer: 1373317740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-956)\/(-9) - (-24)\/(-108) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 15, -4*m + c = -c - 10. Let t be 2\/4 - 7\/(-14). Sort -5, m, t.\nAnswer: -5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 + 7*n - 4. Let l(u) = 5*u**2 - 4*u + 2. Let y(a) = -11*l(a) - 6*x(a). Let i be y(-1). Is (-33)\/(-6)*2 - i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 2*p - 2. Let q(o) = 854*o - 3*o**2 + 0*o**2 + 2 - 856*o. What is -4*q(v) - 5*z(v)?\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61218 - 8004. What are the prime factors of i?\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298835 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 - t**2 - 4*t + 3*t**2 + 2*t in the form n*t**2 + s + a*t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(132)\/(-1*-1*sqrt(12)).\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -6 + -4 + 36 - -8) + -4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1724 (b) 0.4 (c) -4 (d) 0.2 (e) 85 (f) 3\/8 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 less than 103833330.5?\nAnswer: 103833084.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 2*d**3\/3 + 11*d**2\/2 + 8*d - 2. Let m(l) = -4*l**2 - 22*l - 16. Let k(t) = 9*b(t) + 4*m(t). Does 14 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203064 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -68 (b) -2\/9 (c) -91 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**4 + 6*k**4 + 2*k**4)*(-1 + 1 - 2*k + (-2 + 2 + 1)*(2*k + k - 4*k) + 6*k + 1 - 1 + (-2 + 6 - 2)*(2 + k - 2)).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 38*m - 80*m + 40*m. Let f(u) = 17*u. What is f(h(p))?\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 10 = -16*d + 5*g, 5*d = -5*g + 50 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4115 = 2*y, -r - 70*y + 72*y + 823 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1330*t = -o - 1326*t + 5, 2*o - 2*t + 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - (-3 + 7)) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 3*b - 1. Let y be g(2). Let l be (8\/(-5))\/((-2)\/(-10)). Let z be (-26)\/l + (-4)\/16. Solve 5*k + 32 = 4*p, -2*k + z*p - y = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188 * 0.4\nAnswer: 75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4\/9))\/a*(a\/(a*a**(-2)*a))\/a*(a*a*a\/(a**1\/a*a*a*a)*a)**31 assuming a is positive.\nAnswer: a**(283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2081.4153 months to decades.\nAnswer: 17.3451275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**2 - m**2)*(0*m + 0*m - 2*m) + (0*m + 0*m - 2*m)*(-m**2 + 134 - 42 - 34).\nAnswer: -2*m**3 - 116*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3 + 88*m**2 + 11 - 46*m**2 - 42*m**2 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1022 = 4*u + 2*y, -2*u = 3*u + 2*y - 1278. Let z = u + -65. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 - 84*o**2\/11 + 174*o\/11 - 8.\nAnswer: -2*(o - 1)**2*(o + 44)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26217\/20 - 1312. Let v be (-2)\/(-4276)*(-10 + 2). Let b = 24659\/19242 + v. Calculate the common denominator of b and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*z - 5*v, -z = -v - 2 - 2. What is the remainder when 22 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40155628 is divided by 291?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855629 - 834745 = -454*p for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44742*4\nAnswer: -178968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 2*z**2 + 50*z + 145. What is u(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13454901 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 - 28*w - 40 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 218381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, 2\/13, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13080224 is divided by 1208.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 189430 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: Calculate the lowest common multiple of 459762 and 12654.\nAnswer: 1379286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -636 in -5, -3, -1325?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (-18 + (24 + 19 - 3))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26\/27 + -8\/9. Let y = 64\/135 - f. Solve -y*i + 0 - 1\/5*i**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riztjjth. What is prob of sequence rj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 557 - 561. What is the nearest to 1 in 1, -0.023, -5, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-180)\/(-21))*(96\/21 + -4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w**2 - 5845*w - 75030 = 0.\nAnswer: -61\/5, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 12*d**2 + 30*d - 13. Let n be m(-8). Sort 2, n, -17, -5.\nAnswer: -17, -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*q + 3, -h - 1 = -2*q + 2*h. Let l(k) = -3*k**3 + 4*k - 4. Suppose 38 = 7*v + 10. Let j(b) = b - 1. What is q*l(f) + v*j(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**3 - 2*z**2 + z. Let x be h(1). Let o(w) = -9*w**2 - 5*w - 5. Let j(n) = -14*n**2 - 8*n - 8. Calculate x*o(c) - 5*j(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1eb - 5?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 7. Let c be o(-5). Let n be ((-8)\/(-12))\/(2\/c). Suppose n*y - 36 = 12. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2 + 0*g + 0*g)*(3*g**3 - 10*g**3 + 6*g**3).\nAnswer: -g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 94.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Let i(n) = 2*n**3 + n**2 - n - 1. Let f be i(u). Let v(g) = -9*g - 1. Give v(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*k = -266*k - 66 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*c - 9. Let m = -1 - c. Solve -2*o = m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17565065 divided by 566615.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 7*c + 1. Let f be z(5). Suppose 5*b + f = -4*n, -24 = 4*n - 3*n + 5*b. Let o = n - -52. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 + 5)*-1 + 513. Let u = 520 - z. Which is the nearest to -0.2? (a) -0.2 (b) -2\/7 (c) u (d) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*o = -1024 - 740, d - 445 = -o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 89. Suppose m = -98*t + 99*t - 63. Let f = -27 - -48. Calculate the greatest common divisor of t and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 68*y = -66*y + 6, -5*y - 6 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 2*m - m)*(-2*m + 4*m + 0*m)*(10 - 3 - 3).\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1110711 (base 9) to base 13\nAnswer: 17c035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, 81, -4, 1\/80, -0.1?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 2*b**4 - 2*b**4 + (-4 + 4 + b)*(b**3 - 4*b**3 + 2*b**3).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -377, -773, -1425, -2327, -3473, -4857, -6473?\n\"Answer: a**3 - 134*a**2 - a - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1168 and 8.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*p = -11 - 51, 2*q - 35 = 5*p. Let y = -46 + 48. Let m be (-7)\/(35\/y) + (-77)\/(-5). What is the greatest common divisor of m and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**3 - m**2\/2 - m - 1. Suppose -28 = 14*c + 42. List the prime factors of z(c).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(24) - sqrt(25)) + (sqrt(250)*3)\/sqrt(10))\/(3*(sqrt(605)*-2 - sqrt(605))*-3).\nAnswer: 5*sqrt(5)\/594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-20)*(-5)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 495*u - 45. Let g(m) = 45*m - 4. Give -45*g(h) + 4*j(h).\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 3*z, z + r = 0. Suppose -7*k + 3*k = z. Solve k = -0*i - 2*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*b - 5*f + 2*f, -3*b + 4*f = -40. Calculate the remainder when 37 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -70*p. Let g(r) = -11*r**2 + 95*r + 7. Let c(q) = -2*q**2 + 95*q. Let u(f) = -c(f) + g(f). What is t(u(h))?\nAnswer: 630*h**2 - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(12)\/sqrt(6) + -4 - (-5 + 3*sqrt(2)))**2.\nAnswer: -4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 16 = 4*c. Suppose 2*m - 32 = 4*o, c*m - 3*o = -o + 26. What is the smallest common multiple of m and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/49367877 and 87\/130.\nAnswer: 493678770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 - -226. Solve 3*i - i = q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**3 - 24*l**2 + 11. Let d(t) = t**3 + t**2 + 2. Determine -7*d(m) + v(m).\nAnswer: 3*m**3 - 31*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1137 + 1141. What is the highest common divisor of r and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 7 + -2 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 229414911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) 8 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:42 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*z - 19 = -23, -2*m = -4*z - 8. Suppose -3*p - 2*b + 6*b + 562 = 0, -m*p + b + 758 = 0. Which is smaller: 189 or p?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*m = 3*n - 88, 4*m - 80 = -2*n. Let g(v) = 26*v**3 - v**2 - 11*v + 10. Let x be g(1). What is the greatest common factor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 4. Suppose w = -v*a + 220, w - 5*w - 165 = -3*a. Is (a\/(-4))\/((-2)\/8) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 86 + 664. Let g = b + -94. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 581428277 to the nearest integer?\nAnswer: 24113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/9)*x)*(x*x**(-2\/11))\/x)**(-32) assuming x is positive.\nAnswer: x**(3040\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29)\/(-2) + (-6)\/(-12). Suppose 8*g = 3*g + p. Let o(x) = 2*x**3 - 5*x**2 + x + 2. Is o(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 7*y - 44 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-9 + 1 + 8)) + 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1211 - -1216.61. What is u rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70*(2\/(-4) - 1) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -294, 5, -187, 0 in decreasing order.\nAnswer: 5, 0, -187, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6*2\/15. Let j(z) be the first derivative of y*z**5 + 0*z**4 - 1 - z + 0*z**3 + 0*z**2. What is the first derivative of j(t) wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.436\nAnswer: 0.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4853 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 6*f - 2*f. What is the lowest common multiple of f and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166705024 is divided by 289?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 37 = 19 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35414023 (base 6) in base 5?\nAnswer: 240400432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 11. Suppose 1109 = 5*t + k. Suppose -5*g - 4*p + t = -5*p, -4*g + 175 = -p. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47153863.\nAnswer: 67, 703789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -309, -707, -1275, -2019, -2945, -4059, -5367?\nAnswer: -6875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 - 4*c - 64. Let j(q) = 2*q**2 + 4*q + 66. What is -6*j(a) - 5*u(a)?\nAnswer: 3*a**2 - 4*a - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -344089, -344094, -344101, -344110?\n\"Answer: -u**2 - 2*u - 344086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44\/7 - 118\/21. What is the closest to 1 in -0.4, m, 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 113, 1 in ascending order.\nAnswer: 1, 3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -15, -12, -9, -6?\n\"Answer: 3*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -488*2\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001110101110111111 - -10?\nAnswer: 101001110101111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6) - 1\/3. Let o = -16 + 21. Solve -h*w = -5*v + v + 17, -o*v = 2*w - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 67 + 27 + 18 - 164*p**2.\nAnswer: -164*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*o + 8*o. Let c be 0 + (-7 - o - -2). Let g be 1*(-15)\/(-9)*3. Sort c, -2, g in ascending order.\nAnswer: c, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587197725 a multiple of 6483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 37*k - 124. Let n be f(5). Solve 17*i + 121 - n = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 2*q + 14 = 0, -5*q - 20 = -5*f. Suppose f*n + 2*n - 1370 = 0. Let g = -154 + n. What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-69 + 73 - (1 - 0))) + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**4 + 4*t**4 - 73*t**2 - t**3 + 1 - 6*t**4 - 4*t**4 + 14*t**4 to q*t**4 + v*t + y + z*t**3 + l*t**2 and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*q - 45*q - 1276*q - 1174*q - 758*q - 39*q.\nAnswer: -3088*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 69*v = -v - 71370. What is the remainder when 2202 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 3*d. Let n be ((-4)\/3)\/((-6)\/9). Suppose -2*p = -2*y - d, 0 = 4*p + 3*y + n + 4. Solve p = 2*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5 + 247504*o**4 - 1732400*o**3 + 4207160*o**2 - 4207116*o + 1484856 = 0?\nAnswer: 1, 2, 3, 61869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132441 + 1133?\nAnswer: 134014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5125 + -0.4875. Let a = -0.3 + 0.8. Let t = -3.92 + -0.08. Sort m, t, a.\nAnswer: t, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54916 is divided by 10860?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 24 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*v + 18, -3*v + 13 = 2*j - 1. Suppose -x + j*a - 2*a = -371, 2*a = -x + 383. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -6\/1895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17706 + -21?\nAnswer: -17727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-16)\/12*(-3)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p - 2. Let u be (80\/32)\/(1\/2). Suppose u*r + 36 = -r. Let h(c) be the first derivative of 4*c**2 + 2*c - 5. Give r*z(t) - 5*h(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -8, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 4*h**2 - 6*h - 1. Let s be m(-5). Suppose s*d + 2*b = 34, 3*b = -d - b + 26. Find the common denominator of 5\/6 and 241\/d + 4\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/60 - 2*z**4\/3 + 3*z**3\/2 + 35*z**2. Is k(-7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 55*d**2 - 231*d + 55. Calculate v(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 737 - 740. What is the nearest to 0 in w, -6, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 439428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 a when three letters picked without replacement from aaaaaaazrarzaaz?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58883*g**4 + 58907*g**4 + 11*g + 3*g)*(3 + 2 - 4)*(-9 - 16 - 15) to the form z*g**2 + l*g + u + i*g**3 + f*g**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y = 63*y + 1344. Suppose 0 = 375*v - 378*v + y. Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 3*q - q + 1 - 1 + (0 - 3 + 4)*(q - 6*q + 3*q) + 3*q - q - q - 4*q + 4*q - q)*(-8 - 6 + 3).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41301028 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125984223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -85 + -3 + (-9 - 2) + 0 + 25\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -20390\nAnswer: -1\/10195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r**4 + 0*r)*(1586 + 899 - 1523)*(-4 + 0 + 2) + (0*r - r**2 + 0*r)*(-2*r**2 - 3*r**2 + 4*r**2).\nAnswer: 3849*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.2, 0.3, -1 in increasing order.\nAnswer: -6, -1, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 20. Let u be g(11). Suppose -16 = u*l - 3*l. Let z = l + -4. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/15, -963.9, 1.8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*m - 6 = -g - 51*m, 5*m - 5 = -0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/8, -1\/41, 2\/37.\nAnswer: -15\/8, -1\/41, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o**(-12)*o)\/o*o*o)\/o*o\/(o*((o**(-2\/15)\/o*o)\/o)\/o)*o*o**(-5\/2)\/(o\/((((o*o**(-7\/4)\/o)\/o*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-787\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 (base 10) in base 12?\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, -31, -98, -201, -346, -539, -786?\n\"Answer: -w**3 - 9*w**2 - 3*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by 26.\nAnswer: -76\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(252) + 1 - (sqrt(7) + -1 + 0) - (-4 + sqrt(7) + 0 + sqrt(7) + -3))*-5)**2.\nAnswer: 5400*sqrt(7) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**4\/8 - 11*z**3\/6 + 3*z**2. Let n be l(5). Solve 3*g - n = 2*p, 5*g = 3*p + 7 + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -148, -489, -1126, -2161, -3696, -5833, -8674?\n\"Answer: -17*j**3 + 5*j**2 - 43*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -346650 + -22?\nAnswer: -350002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 0 + 0 - 39*v + 7*v**2 + 39*v + (-v - v - v)*(73 + 65 - 80)*(6*v + v - 4*v) to the form l*v**2 + w + k*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 19 = -23. Let a(v) be the first derivative of -1\/10*v**4 + 1 + 2\/25*v**5 + 1\/5*v**y - 2\/15*v**3 + 0*v. Find w such that a(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -513?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 57488010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19739 + -19432. What is the remainder when 512 is divided by r?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 13*f - 5. List the prime factors of d(-5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*-3 - 8. Let g = 5 - z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - c**2 + 8*c**2)*(19 + 11*c - 19).\nAnswer: 132*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1655 - -77\/8937. Let v = 89\/135 + z. Suppose -i - v*i**2 + 0 + 1\/3*i**3 = 0. What is i?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 104743 + -5?\nAnswer: 104738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**5 + 17*r - 17*r + (0*r**3 - 1 - 3*r**3 + 3)*(-3*r + 4*r + 7*r)*(-r - r + 0*r).\nAnswer: 31*r**5 - 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 14*l**3\/3 + 21*l**2\/2 - 18*l. What is the tens digit of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 times -438?\nAnswer: -116508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2010 + -2011. Let h = 70 + -103. Let g be (-2)\/h*9\/6. Which is greater: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185172151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((153\/24)\/(-1 - (-14)\/8))\/((-81)\/(-54)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190\/29 - 2245\/232. Is -4 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 274455 and 8727669.\nAnswer: 43638345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -6. Let g(k) = 6*k - 1. Let x be g(n). Find the first derivative of 2 - s**4 + x*s**4 - 1 - s**4 wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 11*k - 5. Let p(t) = t**2 - 5*t - 3. Let b(n) = 5*n**2 - 23*n - 14. Let s(f) = -2*b(f) + 9*p(f). Determine -a(z) - 4*s(z).\nAnswer: 2*z**2 + 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-16)\/y*y*y)*y)\/y)**(-35) assuming y is positive.\nAnswer: y**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2145)\/(-15))\/13 + 326\/(-30)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 26*j**2 - 104*j + 40. Calculate o(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + (32 + -5 - 8). Solve 6*h + 10 = z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = -2*y - 4*i, y - 4*i = -5. Suppose 0 = -5*v - 5, -y*b + 1 = 6*v - 4*v. Suppose 0 = 2*p - 23 + b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 2*y**4 - 3*y**4 + (-y + 3*y + 0*y)*(-2*y**3 - 3*y**3 + y**3) - 43*y**4 + 60*y**4 - 109*y**4.\nAnswer: -99*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/3960)\/((-5)\/(-420))*((-40)\/49 - -1)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -828 + 864. What is the greatest common divisor of 208 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 120*n**2 - 568*n + 805. Let w be b(-115). Solve -15*a + 3*t = -13*a - 22, w = 5*a - 4*t - 34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1. Suppose 2283 - 107 = 8*l. Let c(d) = -136*d + l*d - 137*d + 3 - d**3 - d**2. Determine c(z) + 3*t(z).\nAnswer: -z**3 - z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + ((0 + sqrt(5) + -2 - sqrt(5) - (sqrt(5) + (sqrt(605) + 2 - sqrt(5))))*2)**2*6).\nAnswer: 12672*sqrt(5) + 89394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 7*b - 5. Suppose v + 48 = 7*v. Determine h(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 9*l - 8. Let p be g(8). Let r = -9 + p. Let t = 29 - r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-135)\/10)\/(-9))\/(3\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 713141 + -393792. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6) - (-1351)\/(-98) - 6\/(-21)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o = 2*o. Suppose -59*q + 60*q - 2 = o. What are the prime factors of (-303 - -3)\/(((-3)\/q)\/1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -3 - 1\/(-1). Let q be 4 - 1 - (-3 + s). Suppose -6*c + q*c = 0. Solve -3*g = -c*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 + 25 = 5*h. Let s = -76 + h. Calculate the highest common factor of s and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76004 + 76400 = 11*a. Solve -25*j - a = 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -6*y. Let p(n) be the second derivative of 0 + 0*n**2 - 2*n - 1\/6*n**4 + y*n**3. Let l(z) = -z**2. Calculate p(l(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3)*f**4)\/(f*(f\/f**(-3))\/f*f*f**(2\/5)*f) assuming f is positive.\nAnswer: f**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 112 and -0.0263?\nAnswer: 112.0263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 285*y + 2569. Let f be i(-9). Solve 6*d - 4*d - 10 = -2*m, f*m - 2 = 5*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.508 rounded to 2 dps?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 146, 143, 140, 137, 134, 131?\n\"Answer: -3*y + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q**2 - 517*q + 5990. Calculate w(-49).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -1.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 527 + 122 = 0. Let m = -438 + g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**2 + 27*a + 18. What is the remainder when 43 is divided by z(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1100354 and 4.0436?\nAnswer: 1100358.0436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -117913*l - 120164*l + 232016*l. Let g(b) = -2*b. Give a(g(s)).\nAnswer: 12122*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49b89 + -3?\nAnswer: 49b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10151 - 9426 = 25*s for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**3 + 200139*l - 200139*l.\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (7 + -4)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Let n = 32.6 - 32.6. What is the nearest to n in m, 4\/7, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072211 is divided by 864?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*z**2 - 35*z**2 - 44*z**2 - 46*z**2 - 266*z + 175*z**2 as k*z + f*z**2 + g and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43d + -155?\nAnswer: 2e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 2, j: 1, t: 1, a: 1, w: 2}. What is prob of picking 1 e, 1 w, and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1911\/(-2548) + (((-333)\/(-4))\/3 - 0). Solve 0 = j*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*x - 76 = 0, 0 = -x + 4 - 0. Let n = 42 - h. Calculate the greatest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593 - -640. Suppose 3*g - 82 = -4*s, -3*s = 2*g + h - 109. What is the greatest common divisor of s and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120875 and 625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*23210.\nAnswer: 46420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 416 - 2*h**2 + 0*h**2 + 0*h**2.\nAnswer: -2*h**2 - 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/75*20\/(-18). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1115, -2113, -3111?\nAnswer: -4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 25134000 to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(3*l + 55 - 5*l - 56)*(6*l + l - 10*l).\nAnswer: -12*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 18592485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -4 + 6 + 4 - (-3 - (14 - -12))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289 + 288.9452. Let u = 0.2252 - s. Which is greater: -0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1, a: 1, w: 1, j: 2, y: 1}. Give prob of sequence wm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5183 (base 10) to base 12\nAnswer: 2bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 + -3 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/2326905 and -11\/630?\nAnswer: 4653810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -750 + -521?\nAnswer: -1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - j. Let x(f) be the second derivative of f**4\/3 - f**3\/3 - 240*f. Calculate 7*c(u) - 4*x(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 19 = 5*r - 9, 0 = 3*r - 12. Put b, -3, -1 in increasing order.\nAnswer: -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 52685?\nAnswer: 52676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2\/59 (c) 9\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*n - w, 15*n - 32 = 12*n + 4*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784004640.\nAnswer: 2, 3, 5, 17, 96079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-297)*(-27)\/(-18) - (-6)\/27?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**5 + 0*o - 25\/4*o**4 + 20\/3*o**3 + 0*o**2 - 227. Factor f(i).\nAnswer: 5*i**2*(i - 4)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*z + 229 = 2*t, -2*z = -6. Let l = t - -303. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 10:09 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:21 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 56 - (-9 + 6 - -1)) + -23.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32397?\nAnswer: 3, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y, -4*k + 270 = 2*y + 28. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727162 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-22) + -34 + 33. Suppose -64 = 3*z - 2*m - 11, -5*m = 25. Let h be 8\/z + 12\/18. What is the smallest value in j, h, 4, 0.9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -576*u**3 + u - 5. Let h(d) = 2*d**3 - d + 2. Calculate g(k) + h(k).\nAnswer: -574*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:27 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66346)\/(-1478568))\/((-14)\/32).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 1160920888*o - 84233581762169284.\nAnswer: -4*(o + 145115111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2800 and 94416?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 + 103. Suppose 1871 = 3*q + l*s, -17*s + 2 = -19*s. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/17 + -181\/238. Find the common denominator of k and 19\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186 + 1674?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*(-12)\/(-18)*218\/(-2180).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 - 7*z - 1371. Determine b(0).\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5382 or -5381?\nAnswer: -5382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66854 is divided by 79.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*a, -10*h + 13*h + 3*a - 96 = 0. What is the closest to -0.5 in -4\/7, 2, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2 + 3*w - 2*w - 2. Let n be u(8). Solve -3*j + n*j = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let j = -4.4 - 0.6. What is the second biggest value in p, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, -1, -7, -5, 6885.\nAnswer: -7, -5, -1, 3, 20, 6885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(0*h**3 - 2*h**3 + 3*h**3) + 323*h - 323*h + 22*h**3 + (h + 0*h + h)*(h + 2*h**2 - h).\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 0.2. Let a = d - 5.7. Let f = 1.3 + -0.3. What is the second biggest value in 3, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from doeoyd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 7*a. Let o be (0 + -1 - a)*0. Suppose -2*m + 41 = 4*k - 3, 4*k + 3*m - 48 = o. Solve -i - k = 3*l + 2, 15 = -5*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -20. Let u be 1 - (-38)\/k*1. Find the common denominator of -59\/2 and 225\/(-24)*u\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-1262))\/((-25)\/10). Let v = 337549\/56790 + f. Calculate the common denominator of v and 1\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 13*x + 14. Calculate q(-17).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.02432.\nAnswer: -0.009728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r. Let p be s(-3). Let v be -3 - 9\/p - -2. Which is greater: 0.5 or v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-698)\/(-2094) - ((-224)\/18 - 2\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(19\/2)*(m\/(m\/(m**(-3)*m)))\/(m*m**(-1\/12)*m) assuming m is positive.\nAnswer: m**(-557\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 - -255. What is the second derivative of -12 - 5*g - 60*g**2 - 31*g**2 + v*g - g wrt g?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22*w**2 - 8*w + 10. Let x be i(1). Suppose -3*y = -15*y + x. Solve 0 = 3*m + 3*c - 3, 2*m = y*c + 4 - 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-10)*((-102)\/18 - -4). Let n(m) = 160*m**2 - 77*m**r - 77*m**2. Let y(b) = -19*b**2. Calculate n(y(a)).\nAnswer: 2166*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g + 4*g. Suppose -g*d - 13 = -35. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 477\/(-14) + 846 + -812\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/5, 0.04, 0.3, 59 in ascending order.\nAnswer: -1, -2\/5, 0.04, 0.3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24662*j - 537982*j**3 + 537990*j**3 - 24662*j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261 - 259. Let r be 3\/c*160\/15. Solve 14*g = r*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 19. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/4 - (-1 + 1). Let x(n) = 3*n - 4*n**2 + 5 + 0*n**2 + o*n**2 + 1. What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*z**2 - 4*z**3 + 64*z**2 + 6*z**3 + 5)*(-1 - 4 + 4)*(5 - 5 - 3*z).\nAnswer: 6*z**4 + 6*z**3 + 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.459 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 6286 - 6263 = 3*a, a + 3 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, p: 1}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -5 (c) -685 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:03 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, -1, 2, -179, -172 in ascending order.\nAnswer: -179, -172, -5, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p + 5. Let m(r) = 29*r**4 - 27*r**2 - 4*r. Let x(l) = l**4 - l. Let q(v) = p*m(v) + 4*x(v). What is the third derivative of q(i) wrt i?\nAnswer: -600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 201 + 87 + 114.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 11*l**2 + 13*l + 6. Is b(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 25632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 5*g**2 - 6*g - 5. Suppose 2*w + 2*w = -3*d - 14, -2*d - w - 11 = 0. Let t be o(d). Which is greater: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -3.5. Let c = -130476464 - -130476468.50000136. Let h = v + c. Round h to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 8:00 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -139189 and -1563.\nAnswer: 217552407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3))\/sqrt(4) + sqrt(5) - (sqrt(5) + sqrt(10)\/sqrt(8)) - (sqrt(5) + (sqrt(20) - sqrt(320)))*-3) + 0.\nAnswer: -29*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -742168 times 8\nAnswer: -5937344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 0, s + 3*n - 13004 = -1578. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 16. Sort 0.3, w, 1.\nAnswer: w, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-13*(-177)\/(-467870))\/(1*(-1)\/10)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/900 + 13*i**5\/450 + 7*i**4\/15 + 12*i**3\/5 - 293*i**2 + 1. Let c(f) = 0. Calculate f.\nAnswer: -3, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-16)\/24)\/((-1)\/669). Let l be s\/(-30) - 4\/30. Is 31 a factor of (-2*2\/10)\/(l\/9375)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 1423, 2188, 2997, 3856, 4771, 5748?\nAnswer: 6793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -852 - -201721?\nAnswer: 200b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -162068961, -324137924, -486206887, -648275850, -810344813, -972413776?\n\"Answer: -162068963*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a338aa - 1?\nAnswer: -a338ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 3, 8, 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -676*o**2 - 507. Let q(y) = -y**2 - 1. Determine -h(k) + 507*q(k).\nAnswer: 169*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q + 0*q - 3*q)*(4 - q - 4) + 6*q**2 + 45 - 45 to the form w + y*q + b*q**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 686979266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + 21 - 2 - 21*r wrt r.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81543 is divided by 20276?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 228\/(-84). Solve -31*j = -32*j - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(99))**2 + 2.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -27.5. Let f = -8960 - -26648\/3. Let h = f + 78. Sort y, -3\/4, -3, h.\nAnswer: -3, -3\/4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/9 + 8642*m**4\/3 + 467246*m**3\/9 + 302990*m**2\/3 - 432700*m = 0. What is m?\nAnswer: -15, -5, 0, 2, 12981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 6 + 6. Suppose -5*l + 84 - 29 = b. Calculate the remainder when 53 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 17 + 32 - 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.5 + -8. Let k = -1.75 + u. Round k to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68194 is divided by 9737.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*979.\nAnswer: -225.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 157*s + 3041. Give w(-148).\nAnswer: 1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*w**2 - 12*w**3 + w**3 + 8*w**3.\nAnswer: -3*w**3 + 39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0*l**5 + 0*l + 0 - 11\/24*l**4 + 0*l**3 + 3\/20*l**6 + 2*l**2. What is the second derivative of a(g) wrt g?\nAnswer: 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274 (base 8) to base 5.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5963 + 5965. Let p be 1 + -2 + 3 - 4. Let c = p - 2. What is the fourth biggest value in c, 4, z, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -31 (b) -5\/259 (c) 0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122995, -246005, -369015, -492025, -615035?\nAnswer: -738045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -3*y**5\/20 + 5*y**3\/3 + y. What is the second derivative of s(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0 - 8. Suppose 3*z - 13 = -1, 3*z = 3*r + 6. Suppose -d*k = r*k - 64. What is the smallest common multiple of 8 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 956654205 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(1 + sqrt(162) + sqrt(162)))**2*-6.\nAnswer: -140118 - 6480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - 1044\/29 - 2*19\/(-9)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -166*h - 23. What are the prime factors of v(-2)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*a - 8. Suppose -l + 3 = -a. Suppose 84 = -0*n + l*n. What is the greatest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wssmsssmss. Give prob of sequence sms.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112.51 + -113. Let g = q - -0.37. What is g rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*i**2 + 54\/5 + 63\/5*i + 3\/5*i**3.\nAnswer: 3*(i + 2)*(i + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l - 444. Let m = l - 103. Suppose -p - 5 + m = 0. Solve -p*d - 8 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -2.03. Let f = -0.07 - 1.43. Let q = f - -2. Which is the biggest value? (a) -2\/21 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.99 - 17.09. Which is the fifth biggest value? (a) -4 (b) 1\/2 (c) 1 (d) x (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 33164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4641623 to the power of 1\/2, to the nearest integer?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-7) - 1450\/203. Let t(c) = 2*c**4 - 7*c**3 - 7*c**2 - 7. Let p(b) = -b**4 + 3*b**3 + 3*b**2 + 3. Let r(g) = f*p(g) - 3*t(g). Factor r(w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 10 = 64*x - 67*x, x - 4*u + 2 = 0. Let t(j) = j - 2*j**2 + 10*j + j. Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1 - -4) - ((28 - 14) + -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/18*-6)\/((-1)\/(-8)). Let b = -3.6 - 1.4. Sort q, b, 5, -3\/7 in descending order.\nAnswer: 5, -3\/7, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**12)\/s))\/s**(-13))\/(s*s*s**(-18\/5)*s*s*s**1) assuming s is positive.\nAnswer: s**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let t(l) be the first derivative of 3*l**2\/2 - 5*l + 47. Determine t(j(o)).\nAnswer: 6*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-63))\/(2\/6)*-104*98\/224\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1378 + 1348. Let l(f) = f**3 + 9*f**2 + 13*f + 10. Let r be l(-8). Is r less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -462*z**3 + 355*z**3 - 337*z**3 + (-2 + 1 - 2)*(4*z**3 + 16*z**3 + 4*z**3).\nAnswer: -516*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*q**4 + 124*q**4 + 181*q**4 + (-q + 6*q - q)*(-2*q**3 - q**3 + 5*q**3) to the form g*q**3 + f + u*q**4 + s*q + a*q**2 and give u.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:03 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 4*k - 17)*(-3*k + 5*k - 3*k)*(106 + 78 - 61).\nAnswer: -492*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 35 = 5*x. Suppose 2*i - 3*z = z - 12, 4*i - 21 = -z. What is the nearest to 0 in -0.1, i, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - -2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 52 = 2*k. Let o = k - 8. Solve 20 = -o*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (4 + (-8 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2\/(-13) + (-160)\/(-364))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212123 (base 4) in base 9?\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208893 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 - 11*p**2. Let r(z) = -z**3 - 2*z**2. Let v(a) = -1088*a**2 + 3 - 32 + 2*a**3 + 14*a + 1123*a**2. Let o be v(-17). Give o*r(m) - 4*k(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 3 (c) -0.11 (d) -0.035798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 839, 1753, 2665, 3569, 4459, 5329?\n\"Answer: -v**3 + 5*v**2 + 906*v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 5*j**2 + 5*j - 4. Let l be d(-4). Let a = l - 0. List the prime factors of a\/60 + (-362)\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -0.1, -82733, 4\/5 in decreasing order.\nAnswer: 3, 4\/5, -0.1, -3, -82733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -4*f**7\/35 - f**6\/60 + 401*f**5\/60 + 21*f**2. What is the third derivative of r(g) wrt g?\nAnswer: -576*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 15. Calculate x(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-202.3\nAnswer: -202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 6)*(326 - 326 + 21*c)*(0 - 4 + 2).\nAnswer: 210*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12023330020 - 3000?\nAnswer: -12023333020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696764 and 373.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k**2 + 9*k + 2. Let y(v) = 3*v**2 + 5*v + 1. Calculate -4*x(o) + 7*y(o).\nAnswer: -7*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916540 divided by -4.\nAnswer: -229135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -5613754?\nAnswer: 5613744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1359 and 265627422.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 12*y - 80 = 0. Let v = 37 + -34. Which is the closest to -0.1? (a) v (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 + 3. Let d(x) = 4*x**2 + 2. Let q(w) = -5*d(w) + 3*h(w). Let g be q(-2). Suppose o = -f + 24, 0 = 2*f - g*o + 3 - 31. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5*d - 3. Let r be s(-5). Let x = r + 2. Let l be (x - -1)\/(-1 + 3). Solve -5*y + 2*j - 21 = l, 0*j - j = 5*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 3. Let y(r) = -r. Let g(c) = -q(c) - 6*y(c). Give g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 + -3.4. Let f be 92\/8 - (-2 + (-35)\/(-10)). Sort -6, f, c, 0.4.\nAnswer: -6, c, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and 0.9.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + c + c)*(-2 + 1 - 1)*(23 - 12 + 21)*(14 + 3*c - 14) in the form p + r*c + o*c**2 and give o.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 16*f**2 + 18*f - 21. What is x(15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*l - 997*l**2 - 89*l + 6 + 1989*l**2 + 174*l - 997*l**2.\nAnswer: -5*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 55*y - 283. Let c be u(-32). Find the third derivative of -c + 20*d**3 + 251*d**5 - 16*d - 20*d**3 + 453 - 5*d**2 wrt d.\nAnswer: 15060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328835 and 7995.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*p + 2632 = 0, -2 = -2*p - 10. List the prime factors of t.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 - 321*f**2 + 8226*f - 37152 = 0.\nAnswer: -129, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28376 + -3?\nAnswer: 28373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006872 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -2 - (-4 + 1). Let l be (3 - (-3 + -4)) + -18. Let r be 158\/t + 4\/l. What is the greatest common factor of r and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223233432 - -203?\nAnswer: 223234140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 22*l + 4*l**3 - 403 - 13*l**2 + 423. What is s(14)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, -2\/9, 0.01?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289422 is divided by 429513.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -408*n**4 + 6069 + 169923\/7*n**3 + 12\/7*n**5 + 2145\/7*n**2 - 18309*n = 0?\nAnswer: -1, 1\/2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 72 = 93. Let a be ((-3520)\/o)\/(2\/18). Round a to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (59874\/(-170))\/(2\/(-20)). Suppose 15*n - v = 1743. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17962 less than or equal to 3289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/7 + 391*t + 3535158\/7 = 0.\nAnswer: -957, 3694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 5, 394 in ascending order.\nAnswer: -4, -1, 5, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79498493.\nAnswer: 1097, 72469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -300, 1\/6, -5\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408716 to the power of 1\/2, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u + 0)*(-28 + 12*u**2 + 28).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z + 11 + 7 - 16 + 7.\nAnswer: -60*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3680 is divided by 729?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 - (-5 + -7) - (-4 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 9*n**2 + n - 20. Let y be k(-5). Solve 47*a + 47 = -y*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - a = 2*a - 12, 2*m - 4 = -a. Suppose 46 = -m*n + 2*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0353*5.\nAnswer: -0.1765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*x + 2)*(-567 - 2550 - 3493 + 3214 - 11409).\nAnswer: -103635*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13345349 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3517\/3 (b) 12 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -238*q + 2437*q + 1917*q to l*q + w and give l.\nAnswer: 4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -1\/4*s**4 + 0 - 15*s**2 + 11\/2*s**3 - 30*s. Factor g(c).\nAnswer: -3*(c - 10)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-35))\/(3\/14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10024 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -0.6\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1455.45\nAnswer: 5821.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621542590 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549 and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:30 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004218 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 11 = -1. Suppose u*g = -10, 2*p + 2*g = 229 + 3561. What is p rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.9 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26193.63 microseconds in milliseconds?\nAnswer: 26.19363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6668173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**4 - 18*d**3 + 6*d**2 + 47*d + 3. Let b(v) = 5*v**4 - 37*v**3 + 13*v**2 + 94*v - 3. Let z(m) = -6*b(m) + 14*r(m). Suppose z(l) = 0. Calculate l.\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 1. Suppose 8*t - 13 + 49 = -12. Let m(h) = 2*h + 5*h - 4*h + 1. Give t*z(v) + 7*m(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 489 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2097 divided by 2097.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770 is divided by 148?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:26 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, -4, -5935, -1 in ascending order.\nAnswer: -5935, -4, -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-14) + 1 + -2. Let u = -1.05 - -1.3. Let d = u + -0.35. Is l > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 5, -5*n - 6*q + 8 = -3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Let p(w) = 3*w - 4*w - 3 - 5 + z*w. Give p(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 3)*(0 + 0 - 1) - 2 + 2 - 3)*(4*j**2 - 5*j**2 + 3*j**2) - 5*j**2 + 3*j**2 - j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**3 + 1227*z**2 + 25*z + 23.\nAnswer: 6*z + 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -0.23 (c) -3 (d) -11.8 (e) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.858 and -0.016?\nAnswer: -0.013728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8484)\/7070)\/((-26)\/(-20) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/7 - 12*y**4\/7 + 26*y**3\/7 - 24*y**2\/7 + 8*y\/7.\nAnswer: 2*y*(y - 2)**2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95900375.\nAnswer: 5, 767203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11682 divided by 6.\nAnswer: -1947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -12 - (-11 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 3 + -4 - -2) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*r**3 + 135*r**3 + 66*r**2 - 69*r**3 + 358*r**2 + 304*r**2 to z*r**3 + s + d*r + u*r**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-72)\/(-16)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83846314 to the power of 1\/2, to the nearest integer?\nAnswer: 9157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3 + 70834815*k**2*s - 2*k**2 + 4883*k*s + k - 275*s - 7 wrt k?\nAnswer: 6*k + 141669630*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 12*p**2 - p - 4. Let i be v(-4). Let c be (i + 2\/(-10))\/(18\/(-198)). Put c, -1\/4, -2 in increasing order.\nAnswer: -2, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10914235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 11*w + 3. Let c(z) = -z**2 - z + 1. Let m = -26 - -24. Let p(l) = m*c(l) + r(l). Determine p(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**3 + 35*b + 7. Let i(r) = -r**3 - 1. What is 5*i(j) + o(j)?\nAnswer: 2*j**3 + 35*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (sqrt(6)\/sqrt(3) + 4 - -1*(sqrt(2) - (-1 + sqrt(2)) - sqrt(2)))))**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 31. Let t(r) = -11*r - 92. Give 6*t(y) - 17*w(y).\nAnswer: 2*y - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 v when four letters picked without replacement from {a: 2, y: 5, t: 2, p: 1, h: 1, v: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (3 - 6) - -1. Suppose -o + 4*o = 5*a + 1, a + 3 = 2*o. Let y(b) = -5*b**2 - b + 2. Let x be y(a). Sort s, x, 2.\nAnswer: x, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 85. Let q = 1611 + -1549. Let o = v + q. What is the least common multiple of 21 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -47*p + 7. Let i be a(-5). Suppose -i = -4*y + 230. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akytcaaciaciiai. Give prob of sequence tkaa.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 + 4*u - 20. Let s be g(-6). Suppose 20 = 2*c - s. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*o - 140 = -372*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 172\/(-6) - 14\/(-21). Let m = 60 + s. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*f - 20 = 131*f - 64*f - 5*m, 3*f = 4*m - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 6*j**2 + 7*j + 3. Let z be h(6). Suppose -5*s + 905 = 4*r, 2*r + 4*s - 454 = -0*r. Calculate the highest common factor of r and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -274.2373\nAnswer: 822.7119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-41) + 30498\/35178. Which is bigger: r or 4\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 a factor of 78530417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 1, x: 1, t: 1}. What is prob of picking 1 x, 1 t, and 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -678*g**4 + 53*g**2\/2 - 26*g - 5198. What is the second derivative of a(q) wrt q?\nAnswer: -16272*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 2*s + 1. Let a be k(3). Suppose -t = -2*t + a. What is the least common multiple of t and (-4)\/(-6) - 2\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 78 = 3*y, 27*x + 204*y - 669 = 210*y for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1671 divided by 557\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 167581679, 335163359, 502745039, 670326719, 837908399, 1005490079?\n\"Answer: 167581680*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 22. What is the highest common factor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/(-2)*12112\/(-40) is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 2580*l**3 - 327600*l**2 - 1352000*l.\nAnswer: -5*l*(l - 260)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = 4. Let m(t) = 2*t**2 + t + 1. Let g be m(-1). Let l be 2\/(-4)*-2*g. Sort l, 0, y in decreasing order.\nAnswer: l, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003387185 rounded to 7 dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*p - 1 + 3)*((0 + 4 - 2)*(-p + p - 10*p) + 4 - 4 + 2 + p).\nAnswer: 38*p**2 - 23*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {e: 2, h: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 10*b**2 + 2*b - 1. Let m be p(7). Suppose 2*j = 119 - 33. Suppose j = 4*v - 33. What is the greatest common factor of m and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 370506, 741500, 1112982, 1484952, 1857410?\n\"Answer: 244*d**2 + 370262*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(-2*sqrt(600) - sqrt(600)) + sqrt(600) + sqrt(600) + sqrt(600))\/(sqrt(90)*4))\/((sqrt(192) + 6*sqrt(192)*-1)*-2))**2.\nAnswer: 1\/1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 48. What are the prime factors of n(-14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - (-11 + -37) - (0 - 36)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -3)\/(-5) + -200. Let q = -281 - c. Let r = q + 115. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16660*f**4 + 4097*f - 36654*f**4 + 10366*f**4 wrt f.\nAnswer: -115536*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - -70. Suppose -4*a + 5*y + f = 0, 2*y = 5*a + 5*y - 226. Let p = 170 + a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(9\/54). Let a be (z\/10)\/(6\/(-15)). Solve -6 = -3*t - f - 2, -3*t + 1 = -a*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w. Let f(u) be the second derivative of 7*u**4\/24 - 17*u**2 + 27*u. Let x(g) be the first derivative of f(g). What is c(x(y))?\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-2 + 34\/6). Suppose s + 33 = -5*r. Let j(i) = 3*i**3 - 4*i + 2. Let o(b) = 8*b**3 - 11*b + 5. Give r*j(k) + 4*o(k).\nAnswer: -k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113905 = -12*l + 43057. Let h = l - -35507\/6. Calculate the common denominator of h and -3*(-2 + (-43)\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4276000 to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypyyypytt. What is prob of picking 1 t and 3 y?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*c + 86369, 5*c - 27*g + 26*g - 215912 = 0. Does 217 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 + 64*s + 31. Calculate f(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*d = -25, -4*j = 14*d - 15*d - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11602 minus 2?\nAnswer: 11600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - (1\/4 + 3\/4). Let k be (-2)\/7 + 0 - 27\/(-21). Let d(q) = k - 10 - 7*q + 10*q - 4*q. Calculate d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -8*y**3\/3 + y + 8. What is the first derivative of k(a) wrt a?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 7\/3 + -1. Let v be -3 + (-16)\/7 + (-368)\/(-1288). Which is the third biggest value? (a) 3\/8 (b) i (c) 72 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-1 - 2)) + 4. Suppose 0 = u*z - z - 3. Solve -z*f + 0*f = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -8. Differentiate -n**2 + 14 + 12 + g*n**2 - 2*n**2 with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89.511 - 95.62. Let g = -0.109 - d. Which is the third biggest value? (a) g (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x - 361. Let f be s(30). What is the nearest to f in -0.5, 0.3, 2, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 + 0*n**2 + 44*n**2 - n**3 - 18*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 - 31*i**3\/3 + 31*i**2\/2 - 30*i + 215. Let v be g(-32). Factor -8\/5*u + u**v + 0.\nAnswer: u*(5*u - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85472?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38440897?\nAnswer: 11, 3494627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217478.\nAnswer: 2, 108739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 150*r**3\/7 + 420739804*r**2\/7 + 42148091913304*r + 7867643524624\/7 = 0. Calculate r.\nAnswer: -1402466, -2\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -682, -5, -2\/3 in increasing order.\nAnswer: -682, -5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 22*m + 37. Let l(n) = -43*n - 73. Let v(f) = 3*l(f) + 7*x(f). Let r(a) = -2*a - 3. What is 40*r(c) + 3*v(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-18)*-21 - 4848\/(-909)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - z**3)*(-533*z + 579*z**2 + 533*z) - 4*z**5 + 3*z**5 + 3*z**5.\nAnswer: -577*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + 0) + -2 + (sqrt(68) - (sqrt(68) + -1 + -2 - sqrt(68))**2).\nAnswer: -11 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-6) - (-2)\/(-6). Suppose -2*s = o - 9, 31 = h*o - s + 13. Suppose -30 = 410*i - 416*i. Solve 5 + o = -i*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26226 and 496?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7. Let q = h - -5. Which is the closest to -2\/3? (a) 3\/7 (b) 1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (188\/5)\/((-100)\/(-250)). Let j(r) = 2*r**2 + 3*r - 3. Let b be j(-7). Suppose -f = -b*m + 73*m. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4*z**3 - 1484*x**2*z + 52*x*z**3 + 17*x*z wrt x?\nAnswer: 24*x**2*z**3 - 2968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - (-1)\/(-2). Suppose -4*g + 5*t + 9 + 5 = h, 0 = -2*g - t + 14. Let x(j) = 176*j - 5258. What is the least common multiple of x(30) and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-7 + 1) - 1. Let z(t) = -3*t - 14. Let m(a) = 5*a + 21. Let f(q) = j*m(q) + 8*z(q). Let w(n) = n - 4. Determine -3*f(k) + 5*w(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 7743?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 13*s - 9. What is j(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14746488494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -b6b?\nAnswer: -b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22933 is divided by 6756.\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3696+-2613121807\nAnswer: -2613125503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 14) in base 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 199819593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25545 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 30140?\nAnswer: -30140.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -877*v**2*y - 392*v*y + 5*y wrt v.\nAnswer: -1754*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-4 + (-45)\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b + 500*b = -1242 - 114 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11116.068 + -4514321.068. Let o = 4503202.80000025 + n. Let u = 2.2 + o. Round u to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6551.7809 - -6551. Let f = -0.0699 - h. Round f to 2 decimal places.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31918, 63838, 95758?\nAnswer: 127678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 3, 5*p + 3*t = -31. Let a be p\/(-28) - 38\/(-14). Suppose -1440 = 3*q + 2*x + 3502, 0 = 3*q + a*x + 4938. Round q to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*y - y - 114, 3*y = 5*h - 161. Suppose -500 = -h*v + 9*v. What is the greatest common divisor of 12 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 130. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051891 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143)*1*4 + (sqrt(143) - (sqrt(143) + sqrt(143)*-2)*1))\/(-2*sqrt(55)\/(sqrt(320)\/sqrt(4))) + 2.\nAnswer: -14*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -113641, -227274, -340897, -454504, -568089?\n\"Answer: q**3 - q**2 - 113637*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 4*w + (1 - 6 + 3)*(4*w - 4*w + w) - 5*w + 5*w + w)*(-1 - 4 + 3) to r + k*w and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/14)\/(16\/(-280)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -90, -207, -370, -579, -834, -1135?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 5*d**2 - 6*d + 6. Let z(n) = 14*n**2 - 11*n + 4. Let r be z(-7). Let o = -757 + r. Calculate the remainder when g(-5) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 + -2. Suppose -8 = -3*b - b. Sort b, q, -2\/11 in decreasing order.\nAnswer: b, q, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9965+0.1\nAnswer: 1.0965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a - 3. Suppose 4*q - 10 = -2*s - 0*s, 2*s + 2*q = 8. Let p be n(s). Let j = 4 + p. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 121*d\/2 + 30.\nAnswer: (d - 60)*(2*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 13. Let z = 0.0298 + -0.0298. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 57, -1, -3\/4, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 49*m - 488. Give w(-19).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -22. Let a(f) = 2*f + 5 + 17*f + 14 - 10*f + y*f**2. Let g be a(-2). Which is bigger: 15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 42617.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 10*p - 4. Let r be l(-4). Let d = r - -145. Calculate the remainder when d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(99))\/(1*sqrt(441)))**2.\nAnswer: 396\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:32 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3456 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -3*d, d - 4*d - 15 = -3*q. Suppose q*v + 24 = 8*v. Suppose -5*b - 2*y = -v, b = -2*b + 3*y + 9. Solve b*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-56))\/(24\/((-4320)\/15))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - k**2)*(-12*k**2 + 9*k**2 - 24*k**2).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3919510 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, -2\/7, -27298?\nAnswer: -27298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -5 + 7 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17298 + 17298. Let t(w) be the second derivative of 0*w**2 - 1\/12*w**4 + 9*w - 2\/3*w**3 + v. Calculate t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 10*s - 2*w + 164, -22*s + 23*s + 16 = 2*w for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 0*u - 4*u)*((-4*u - 4*u**2 + 4*u)*(u + 3*u - 3*u) - 413*u**2 + 413*u**2 - 59*u**3).\nAnswer: -126*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -2. Let x(t) = 4 + 2*t**2 + 6*t**2 + 5*t - g*t**2. Let c be x(-5). Solve 0*k = -c*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6*7\/49*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 2*j**4 - 2*j**4 + (-4 + 3 + 2)*(143*j**4 + 131*j**4 - 38*j**4).\nAnswer: 233*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.1, 5, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -0.04362152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 702 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2826 and 77\/4086.\nAnswer: 641502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = -2*w + 35, 5*w - 65 = -5*v. Let n(u) = 3*u - 6. Let l be n(v). Suppose -k = -y, -2*y = 2*k + 2*y - l. Solve 4*o + k = 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3, 1\/6, -2, 3203?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*h - 78 = 20, 3*m - 4*h - 56 = 0. Suppose -3*p = -5*p + m. Calculate the remainder when 18 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.29*6\nAnswer: -25.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(192))**2 + -3 + -1.\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by 55.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 6. Let a be n(-4). Let i be 3\/(-1) + (-2 - a). What is the derivative of 3*x - 3 - 2*x + i wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 13. Let y be 1 - 17\/a - 2. Are 0 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -46. Calculate the remainder when 77 is divided by d\/(-1)*(-2 + 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393\/2 > 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 10*s**2 + 8*s - 6. Let k be y(-11). Let i = 0 + 41. Suppose h = i + k. Calculate the highest common factor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 82\/10 - 1\/5. Let d(u) = -4 - 1 - r*u - u**3 - 3 - 7*u**2. What is the units digit of d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140495*b*y - 175494*b + 2*y - 2 wrt y?\nAnswer: -140495*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87566461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o + 5. Let h(m) = 8*m + 4. Calculate -4*g(r) + 5*h(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-2\/109)))\/(h*h**5) assuming h is positive.\nAnswer: h**(-652\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -2\/3 (b) 27 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + n**2 - 37 + 15 + 15 - 177*n to s*n**2 + k + u*n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*o + 109*o + 122*o - 40*o + 0*o.\nAnswer: 241*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14960 and 2453.\nAnswer: 3336080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 12*p)*(7*p**2 - 29*p**2 - 43*p**2) + 2*p**3 - p**3 + p**3 + (3*p**3 + 2*p**3 - 4*p**3)*(2 - 4 + 4).\nAnswer: 784*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98064, -119243, -140422, -161601?\n\"Answer: -21179*b - 76885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46743, -93512, -140299, -187098, -233903, -280708, -327507, -374294?\n\"Answer: s**3 - 15*s**2 - 46731*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5411 + -0.1411. Let r = -0.18 - -19.18. Which is the fourth smallest value? (a) 1\/4 (b) 4 (c) r (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 15648?\nAnswer: 15651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4 + o**2 - 5*o + 4*o + 6*o. Let d be n(-6). Suppose 3*u = 3*j - 9, d = -2*u - 0*j + j. Which is the nearest to u? (a) -4 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {s: 5, u: 3, r: 3, j: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32252 + 5?\nAnswer: -32244","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 i when two letters picked without replacement from {n: 5, i: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrreeererreree. Give prob of picking 1 e and 3 r.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78.99969 - 79. What is v rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3436 and 53\/20?\nAnswer: 17180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78 + (-3 + 10 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -699453 divided by 77717.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 226500.9 millilitres in litres?\nAnswer: 226.5009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5622 - 0.0678. Let n = a - -1.43. Let y = -58 - -288\/5. Is n > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 58*b = -549. Solve -5*n + b = 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68711, -137424, -206137, -274850?\n\"Answer: -68713*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.0458.\nAnswer: 0.01832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.334 + -2.534. Sort 2\/3, 0.2, c, 4.\nAnswer: c, 0.2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 1)*(2*r + 0*r - 4*r) + 2 - 11*r - 2.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761.838 rounded to the nearest ten?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -204667+1086847.9\nAnswer: 882180.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24570 and 244363770?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 945.8087 minutes to microseconds.\nAnswer: 56748522000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-15) + (-36)\/(-10). Suppose 8*r - j = 4*r. Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 26*z + 7. Let l be y(26). Solve l*o + 14 = 42 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 29*b**3 - 3*b**2 + 2*b - 1. Let r(z) = z**2 + 8*z + 13. Let q be r(-6). Calculate the remainder when 103 is divided by f(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v + 84 = -497 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 739446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 3 - 5 + 2*c**2 + 6 + 8*c.\nAnswer: 2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 56\/(-102) - 20\/(-30). Which is the fourth biggest value? (a) 0 (b) -2 (c) w (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05333 - 3.94667. Suppose 0 = -4*g + 2*g + 4, -5*i + 2*g - 19 = 0. What is the biggest value in 3, i, l, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/((-28)\/(11760\/28)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 3*r**2 + 6*r + 1. Give i(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192320 and 132220?\nAnswer: 2115520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 44*h**2 - 128*h + 5120.\nAnswer: 2*(h - 16)**2*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) -2\/7 (c) -5 (d) -1\/15 (e) 15\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7161 is divided by 276?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*r - 198 = -151*r. Let y(h) = 6 + 8 + 47*h - 39*h. Let x be y(-6). Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20325 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45843997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689 + 715 = -26*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -19, 2.6, -6, 31, -7?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*-1)\/(2 - 1). Let b = -670 - -665. Let k = -0.02 + 0.02. Put q, k, b in increasing order.\nAnswer: b, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + a**4 + 10*a - 15 - 8*a + 9 - 4*a - a**2 to the form b*a**2 + j + c*a**4 + t*a**3 + l*a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3336 and 26688?\nAnswer: 26688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387 + -176. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11805286 and 1580?\nAnswer: 118052860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34132 and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7 = -3*j - 0*j, 0 = 5*j + 4*m - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzffzzjnjz. Give prob of sequence ffjy.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + -1 + sqrt(2000) + (-4 + sqrt(2000) + sqrt(2000) + sqrt(2000) + 0 - sqrt(2000))))**2*-4.\nAnswer: -1800900 + 36000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29481 + -26824. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713 and 16307?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/3 + 5\/9. Let s = 0.3 - 0.4. What is the second smallest value in x, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*r**2 - 760*r**2 - 215*r**2 - 1791*r**2.\nAnswer: -2467*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (83675\/45 + (-3)\/27)*(19 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 5. Let a(k) = k + 3. Let m be a(-1). Suppose 2*j + m*o + 22 = 6*o, -4 = 2*j + 5*o. Let z(i) = 3*i + 3 - 4*i - i. Determine j*z(v) - 4*p(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n + 4 = 39*n - 86*n + 2*s, 2*n - 6 = 3*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.9 + -7.5. Put -5, m, -2\/15, -0.3 in decreasing order.\nAnswer: m, -2\/15, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139\/90 - -13\/9. Calculate the common denominator of 25\/22 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-4)\/10)*10. Suppose -157 = 4*u - 5*u - 4*y, n*u = 5*y + 649. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220400304 (base 5) to base 8\nAnswer: 3477477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/60 - 5*f**4\/24 + 17*f**3\/6 - 136*f. Let v(m) be the second derivative of n(m). What is v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590674.42 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1338 (b) -1052 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 505759750 a multiple of 1130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*2)\/3 + 2. Suppose -3*k + b*i = 0, i - 23 = -3*k - 2*k. Calculate the common denominator of ((-30)\/k)\/(48\/28) and -21\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19894*h - 3*d + 27 = 19898*h, 0 = 5*h - 3*d - 27 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 4\/4*3. What is the second derivative of -2*w**3 - 5*w + 5*w**s - w - w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:14 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4599257, -4599351, -4599507, -4599725, -4600005, -4600347?\n\"Answer: -31*u**2 - u - 4599225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 452*f**2*q**2 - f**2*q + 41*f*q**2 - 247108*f*q - q**2 wrt q?\nAnswer: 904*f**2 + 82*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h - 39 = 3*q, -2*h + 3*q + 21 = 0. Suppose h = -5*m - 3*x + 37, x - 21 = -3*m. Solve z - m + 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzoo when four letters picked without replacement from {z: 3, o: 2, j: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -1\/6*t**3 + 0 + 0*t - 8*t**2 + 1\/24*t**4. Suppose 3*m - 5 = 4*m, -5*i = 5*m. Calculate d(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.246 and -0.02877709223.\nAnswer: 2.21722290777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24955331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871 = 2*l - w, w + 1711 - 405 = 3*l. Suppose -i = -2*z - 2*z - l, -2*i - 4*z + 822 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 - 3538*c**3\/9 - 170704*c**2\/9.\nAnswer: 2*c**2*(c - 1816)*(c + 47)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31624 and 413236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -149. Calculate the smallest common multiple of 11 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 708*t**2 + 32900*t + 66. Determine q(-658).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmpppppp. Give prob of picking 4 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {a: 5, c: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003355074 to six dps.\nAnswer: 0.003355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 2:50 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 43 = -d, -4*d + 2*p + 114 = -4. What is the smallest common multiple of 3 and d?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075359000 rounded to the nearest 1000000?\nAnswer: 2075000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 0.2?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c**2 - 9*c + 9. Let l(b) = 5*b**2 + 4*b - 4. Let f(t) = 4*i(t) + 9*l(t). Let r(p) = 6*p**2. Determine f(r(m)).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6119111491.\nAnswer: 21313, 287107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 228*d**2 + 20*d + 38. Let o(n) = -75*n**2 - 7*n - 13. Determine 17*o(m) + 6*t(m).\nAnswer: 93*m**2 + m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 9*p**2 - 13*p - 9. What is s(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -13*x**4\/24 - 25*x**3\/3 + 5*x**2. Let l(m) = m**3 - 3*m - 6. Let f be l(-2). What is the units digit of v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 6*b**2 - b - 1. Let w be 15\/(-5) - 6\/2. List the prime factors of g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 3 - 3)*((-4 + 2 - 2)*(-18 + 6*f + 18) - 2 + f + 2 + f + 3*f - 2*f + 1 - f - 1 + 0*f - 2*f + 0*f + (0 - 3 + 5)*(0*f + 0*f - 2*f) + f + 4*f - 4*f).\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.36 + 0.04. Suppose 3*n - 2 = 2*o - 6*o, 0 = -2*n - 2*o. Which is the biggest value? (a) -5 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.4471ng to tonnes.\nAnswer: 0.0000000000000804471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.96757 millimeters in meters?\nAnswer: 0.00496757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18158 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:24 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71462.99955469 - 71463. What is b rounded to five decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*o + 6 = -o, -c + 5*o - 2 = 0. Suppose -c*b + 5*b = 2. Suppose 15 = -5*z + 4*u, 2*z - 13*u + 16*u = -6. Put 5, z, b in decreasing order.\nAnswer: 5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 2 h when four letters picked without replacement from {r: 8, h: 2, m: 8}?\nAnswer: 16\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1.0874?\nAnswer: -0.10874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1934*i - 1944*i = -3350. Which is smaller: i or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3)\/(4*(-6)\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/12*(-3)\/(-2). Suppose -10 = -t*d - 2. Suppose d*u - 5 - 87 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 2*c - 12320, 2*v - 6148 = 5*c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119, -121, -123, -125, -127, -129?\n\"Answer: -2*h - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 20. What is d(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9095832 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - 368*p - 27*p - 49*p - 75.\nAnswer: -13*p**2 - 444*p - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-2*k + 2*k + 3*k**4) - 6 - 5*k**4 + 5 - k**3 + 2.\nAnswer: k**4 - k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54110)\/15)\/(-7) - 4\/(-6). Suppose -5*p + c = -254. Calculate the greatest common divisor of 42 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xshashbxaxsxvxasxxvx. What is prob of sequence ha?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329422?\nAnswer: 2, 19, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 82*m + 0 - 108*m as x + r*m and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052127585 rounded to 5 decimal places?\nAnswer: 0.00521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2026)\/(-5) + 21\/(-105). Let w = l - 282. What are the prime factors of w?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 0*j - 2*j)*(-3*j + 3*j + 4*j)*(2*j**2 + 0*j**2 + 0*j**2) as b*j**2 + s*j**4 + h + d*j + t*j**3 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 9. Let t(k) = 8*k. Let f be t(-1). Let n be p(f). Suppose 5*i = -5*g + 65, 0 = -2*i + 2*g + g + 6. Solve 2*u = -n + i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -482 + 331 + (2 - -72)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**7\/252 + 4*t**6\/45 + 9*t**5\/20 + 19*t**4\/18 + 49*t**3\/36 + t**2 - 11*t + 1. Solve n(w) = 0 for w.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)*2)\/sqrt(4) - (3 + (sqrt(19) - (sqrt(19) + sqrt(76))))) + 2)**2 - (sqrt(76)*4 + sqrt(475) + 4)*-3.\nAnswer: 31*sqrt(19) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjgr when four letters picked without replacement from grrrrrgrrrjrvlvlj.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -55, -24, -9, -16, -51, -120?\n\"Answer: -f**3 - 2*f**2 + 44*f - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83870 + -133.\nAnswer: 83737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 28*d**2 + 53*d + 29. Let r be v(-26). Find the third derivative of 96*j**2 + 2*j**4 + 3*j**4 - 4*j**4 + 0*j**4 - 2*j**3 - 2*j**r wrt j.\nAnswer: 24*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15 - 15 + 45 + 397*v - 12. Let s be (8\/(-10))\/((-8)\/20). Is q(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 308.3951398 and -1111?\nAnswer: 1419.3951398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 331*y - 2396. Give d(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5671 (base 10) to base 7\nAnswer: 22351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 992 in 911, -0.3, 0.16?\nAnswer: 911","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.304 + 0.104. Let y = -12.9 - q. Let p = 3.2 + y. What is the closest to -0.3 in 1, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - 84bb4?\nAnswer: -84bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 10) to base 5.\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let h be a(-7). Let d be 10*(264\/(-30) + 9). Put h, d, 3, -3 in increasing order.\nAnswer: -3, d, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*h - 36*h + 9*h + 17*h.\nAnswer: -107*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 5*d**4\/24 - d**3\/6 - 2*d**2 + 19. Suppose 3*i - 8 = -i. Let y be t(i). Solve 0 = 2*l + y - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -0.18. Let j = -0.12 - r. Which is the closest to j? (a) 3 (b) 5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**4\/10 - 2*j**3\/5 - 9*j**2\/5 - 2*j + 26. Factor n(l).\nAnswer: 2*(l - 5)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let r be (-1)\/(h\/4) - 0. Let j(m) be the first derivative of -2*m**3\/3 - 2*m - 1. Calculate j(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79924 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 7*m**2 + 3*m + 16. Let k be r(-7). Which is the nearest to -1? (a) k (b) -2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 849519*r**5 + 19*r**4 + r**3 - 221736094*r**2.\nAnswer: 50971140*r**2 + 456*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*j - 42 = -200*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s**2 + 2*s - 1. Let j be o(5). Let p = j - -2. Calculate the remainder when 42 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 2 - (-17 + 8 + 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -9. Suppose r + d = 0, 0 = 4*r + 2*d + 5 - 1. Let k be r\/(-4 + 2)*-3. Put h, k, 5 in decreasing order.\nAnswer: 5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*p + 11, 5*l - 6*l + p = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 11*f**2 + 17*f + 12. Let s be b(9). Suppose -4*j + 20 = 2*i, -7*i - s*j = -6*i - 15. Solve 3*x + 9 = -i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 26*z**2 - 25*z - 16. Calculate o(25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -7424442.8?\nAnswer: -1484888.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34140 + 4.\nAnswer: -34136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/6647 (b) 1\/2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i - 104 = 0. Suppose -563 + 511 = -4*q. Calculate the highest common factor of q and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, 5, 195.7, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l - 2\/11*l**2 + 0.\nAnswer: -2*l**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/6 + 3*z\/2 + 11\/3 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) 0.8 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - -50. What are the prime factors of q?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -1 - 163\/(2282\/(-140)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 14, -63, 2, 145 in increasing order.\nAnswer: -63, -4, -3, 2, 14, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 108*n**2 + 77*n + 857. What are the prime factors of r(-14)?\nAnswer: 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18032873175 + 0.005\nAnswer: 18032873175.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143388 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 31040*u**2\/3 + 372912*u.\nAnswer: -u*(u - 36)*(u + 31076)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 561 = 5*r - 152. Calculate the lowest common multiple of r and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 3*m, -3*m = -d + 2 - 37. Let j be (m\/3)\/(2\/3). Solve 2*z - 18 = -5*b, 0 = -3*z + j*b - 1 + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -30*m**3 + 2*m**2 - 42*m - 92. Determine q(-2).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -287 and -0.255?\nAnswer: 73.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 - 17 = 3*i, -4 = -4*i. Suppose -f - 2 = -10. Is f\/6*o\/(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 2)\/((-2)\/(-402307)). Let x = -489991 + b. Let a = x + 275377. What is a rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, 1\/5, -1\/2, -2.1, 572 in decreasing order.\nAnswer: 572, 5, 2\/5, 1\/5, -1\/2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 11 + -1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0327 - 0.0327864. What is s rounded to six decimal places?\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2672, -5321, -7998, -10715, -13484, -16317, -19226, -22223?\nAnswer: -25320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 666\/108913 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 509, -39.8, -0.2, -43?\nAnswer: -39.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + -3.5. Let y = 7131 + -7125. Which is the closest to 2\/7? (a) w (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 864, 1425, 1986?\nAnswer: 2547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 1188?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-8) - 6\/24. Suppose -c*b + 0*b - x = -26, 0 = x + 2. Solve t = -b + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4080812.\nAnswer: 2, 41, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 2 (b) 0.4 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*q = -147*q - 7*s - 2 - 55, 0 = 2*s - 0 + 6 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let v(i) = 7*i - 2 + 1 - i**2 - 6 + j. Let y be v(6). Solve -k + s - 2 = y, s - 32 = -4*k - 3*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p + 1. Let q(a) = -11*a + 2. Calculate -5*q(f) + 8*s(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-7 - (-4 + -1 + 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1546.499ns?\nAnswer: 0.000001546499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4350*p**2 - 22062 + 76000*p + 5*p**4 - 355*p**3 - 59231 + 1293.\nAnswer: 5*(p - 40)**2*(p - 1)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5944 + 0?\nAnswer: 5944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 2*w**2 + 0*w + w**2 + w**3 - 2. Let m be k(3). What are the prime factors of ((-4)\/m)\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + 2*c - 52. Let h be w(0). Let n = h - -224. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f - 4*f. Suppose f = -68*g + 73*g - 2680. Let v = -308 + g. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*p**2 - 2575*f + 3680*p**3 with respect to p.\nAnswer: -4*f*p + 11040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1064 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -9867521 (c) 2 (d) 4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-21)*1512\/(-144).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 3*r**3 + 3*r**3)*(-4*r + 3*r - r) + (-355*r**2 + 6*r**4 + 355*r**2)*(-3 - 2 + 3) + 3*r - 3*r + 2*r**4.\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2838572 divided by 709643?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42973776?\nAnswer: 2, 3, 167, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287927*l**2 + 20*l - 27*l + 7*l + 287921*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.1 and 0.3324?\nAnswer: 6.4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -0.3 (c) 1\/3 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110379, 110383, 110389, 110397, 110407?\nAnswer: 110419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -0.2, 0 in descending order.\nAnswer: 28, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5843 divided by 55.\nAnswer: 5843\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 306395\/7 + -43771. Let r be (-26)\/51 - 2\/(-6). Is r <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4419 = 5*m + v, v + 885 = -2*m + 3*m. Suppose w + 4*o - 221 = 0, -o - 3*o = -4*w + m. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3770703571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - c + 52 = 0, -21 = u + 3*c - 57. Suppose 282 = 4*i - 486. Calculate the highest common divisor of u and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + -1)*5)**2 - ((sqrt(288) + 0 - sqrt(288)) + -3)**2) + ((sqrt(144) + sqrt(144)*3)\/sqrt(9))\/(sqrt(40)\/sqrt(5)*2 + sqrt(8)).\nAnswer: -1796*sqrt(2)\/3 + 7216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.42, 44, 0.1?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -45409 divided by 13\nAnswer: -3493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*c - 8 = 3*p, -4*p - 3*c = -27. Let h = 80\/7 + -733\/28. Find the common denominator of -3 - 159\/(-16) - p and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21836 and 37948.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijjjijjjijijjii. Give prob of picking 2 j and 1 i.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + 20\/6. Let d be (-68)\/(-3)*i\/2. Let m = d + -24. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**15\/(x**(-9)*x)*(x**7)**1 assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68529433, -137058858, -205588283?\nAnswer: -274117708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -37*j**2 + 13*j**2 + 16*j**2. Let q(h) = -3*h**2. What is n(q(u))?\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -30*r**3 + 11*r**2 - 2. Determine q(-2).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 1. Let v = -11 - -9. Let b be n(v). Which is greater: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-2\/9)*r)\/r)\/r)\/r**(-2\/21)*(r\/(r**1\/r)*r)**(-11\/8) assuming r is positive.\nAnswer: r**(-361\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - f - 1. Let x(a) = -1569*a**4 + 4*a**3 - 141. Let v(s) = -x(s) + 2*z(s). What is the second derivative of v(o) wrt o?\nAnswer: 18828*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, i: 2}. What is prob of picking 1 i and 1 d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-2)\/3) + 1. Suppose 0 = -0*q + 2*q - x. Let b = 141 - 116. Solve -q*a = 3*a + b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.495344 litres in millilitres?\nAnswer: 2495.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, 6107, 3, 0, 4, -4, -13 in increasing order.\nAnswer: -108, -13, -4, 0, 3, 4, 6107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*((-99)\/12)\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 19 + (-40)\/(6 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - -2.635\nAnswer: 23.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31034 by -59.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -352364*n**2 - 5*n + 8991 wrt n.\nAnswer: -704728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0.4 (b) 16 (c) 0.3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -606611 (base 8) to base 14\nAnswer: -52cad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five sixths of a day?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16516*n**2 - 7906*n**2 - 31 - 8608*n**2.\nAnswer: 2*n**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-2 - sqrt(1100))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81061 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 71 - 4*p**3 + 137.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-416)\/364 - 438\/(-273). Put y, 0, -1\/5 in increasing order.\nAnswer: -1\/5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1040\/41263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7784 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 13. Let y = -1 - i. Let z be ((-2)\/8)\/(1\/(-4)). Calculate the highest common factor of y and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, 3, -165 in descending order.\nAnswer: 19, 3, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, -1130, -1694, -2258, -2822?\nAnswer: -3386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) - (6\/15)\/((-400)\/750). What is the second biggest value in -1, 3\/4, -17\/4, w, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.6285515 minutes in weeks?\nAnswer: 0.003137753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112496819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9388 > -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -657 - -677. Calculate the remainder when 818 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12*o - 12. Give u(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a. Let m(i) be the third derivative of 7*i**5\/60 + i**2 - 34*i. Give o(m(f)).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (6 + 7 + (-29 - -9) - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q - 15*q. Which is bigger: -3\/271 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-114))\/(1375\/375)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -5917?\nAnswer: 35502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/6*314\/(-52). Let o = -10\/39 + p. Suppose 4*j - z + 1 = 3*j, -35 = 3*j + 5*z. What is the biggest value in -3, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2179, -4371, -6563, -8755, -10947?\nAnswer: -13139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 767*z + 120*z**3 + 1728*z**2 + 3080*z + 18144 + 2*z**4 + 5657*z = 0. What is z?\nAnswer: -42, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/3*-11*(-9)\/1386.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -939694, -1879387, -2819080, -3758773, -4698466, -5638159?\n\"Answer: -939693*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 minus -167.80907724?\nAnswer: 167.89907724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3415 + -0.6585. Which is the second biggest value? (a) 7 (b) -3\/5 (c) -0.3 (d) -2 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.89 - 25. Suppose 433*w = -431*w + 192*w - 212*w. Which is the nearest to w? (a) -3 (b) t (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5*l\/((l*l*(l\/l**1)\/l)\/l)*l*l**(-1)\/((l*l**(1\/2))\/l*l)*(l**(-1))**(-1\/42)\/((l*l**(-1))\/l*l*l*l*l**5\/l) assuming l is positive.\nAnswer: l**(-31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 15\/15402266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34837, -34799, -34781, -34789, -34829?\n\"Answer: -a**3 - 4*a**2 + 57*a - 34889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -1 - 17. Let k = 0 + -7. Let f = r - k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 2 c when four letters picked without replacement from {c: 2, r: 8, x: 2}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -113\/2. Put 0.5, c, 0.2, -9 in descending order.\nAnswer: c, 0.5, 0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203203113232 + 1?\nAnswer: -203203113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -56, -133, -282, -527, -892, -1401?\nAnswer: -2078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**5 + 5*r**5 + 3*r**5)*(20 - 18 + 17).\nAnswer: 95*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -20, -76, -164, -290, -460?\n\"Answer: -m**3 - 7*m**2 - 2*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 17 = 21. Which is smaller: -1\/10 or v?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1156*f - 476*f + 1517*f + (4*f - 4*f + f)*(0 + 3 - 4) + 3*f + 2*f - 3*f)*(-f**2 - 2*f**2 + f**2).\nAnswer: -4396*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, 7, -0.5, -2\/31, -29\/144, -0.08?\nAnswer: -29\/144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.55 - -0.55. Let h = 32.00000157 + d. Round h to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f. Let x(b) = 0 + 0 + 5*b. Let n(p) be the third derivative of -p**5\/60 - 5*p**4\/12 + 5*p**3 - 304*p**2. Let l be n(-13). What is l*x(a) + 4*t(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-66) - (-2)\/6. Let u = -0.45289 + 1.55289. Which is the smallest value? (a) -0.3 (b) 1\/6 (c) u (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjcsssqsvs. What is prob of sequence qvj?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 384517 and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let y(c) = -6*c**2 + 12*c + 1. Calculate -22*k(f) - 2*y(f).\nAnswer: 12*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 389220*p - p**3 - 389220*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = w - 21. Let c(v) = v + 1. Let i be c(w). Let z(m) = -7*m - 2. Let j be z(-2). Calculate the highest common divisor of i and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 14836150?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5167\/6 + 892. Let u = -404\/15 + m. What is the common denominator of -87\/74 and u?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (140450\/(-105))\/(-265) + 2\/(-42)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76552*x**3 - 2*x**2 - 359080 with respect to x.\nAnswer: 229656*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10\/3437 (b) 4 (c) 2\/13 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 6*c - 28, -3*c + 4*c - n - 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 + 30685*f**3 - 2*f**2 - 4604*f - 1.\nAnswer: -72*f + 184110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3553\/627)\/(2\/6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/3)*j\/j**11)\/(j**(-6\/7)\/((j**(2\/5)\/j*j)\/j)) assuming j is positive.\nAnswer: j**(-848\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69210 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-3043)\/5)\/(-1) + -2*11\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57703668 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-29)\/l*l\/(l\/(l*l**(-24))))\/(((l**18\/l*l)\/l)\/((l**27\/l)\/l)) assuming l is positive.\nAnswer: l**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11069 less than 119725.97?\nAnswer: 119726.08069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o + 3*o + 8*o)*(-3 - 1 + 3)*(3*o**3 - 4*o**3 - o**3) in the form d*o**4 + y*o + n*o**2 + z*o**3 + v and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(364)*5 + sqrt(364))\/sqrt(7))**2.\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 - 16*f**3 + 4*f**2 + 16*f = 0. Calculate f.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 24a5658?\nAnswer: -24a5652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 371*h - 759*h + 372*h - 124 + h**3 + 0 in the form p*h + k*h**2 + w + d*h**3 and give w.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-15) + 68\/(-765)*78?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**3 - 2*h**2 + 5*h - 5. Let y(p) = -9*p**3 + 3*p**2 - 6*p + 6. Let q(k) = -5*o(k) - 4*y(k). Does 16 divide q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 4*k**2 + 3 - 5*k - 13 as j*k**2 + w*k + c and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.030637 rounded to 2 decimal places?\nAnswer: -59.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101495, 203238, 304977, 406712, 508443, 610170?\n\"Answer: -2*b**2 + 101749*b - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85913*v**3 - 2*v**2 - 41*v + 420.\nAnswer: -515478*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 21496735.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 11:29 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13609441453 and -8900?\nAnswer: 13609450353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1286*v + 4. Let g be f(-2). Let b = -850 + g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/21914 and 43\/10?\nAnswer: 109570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwswwswwswwwwww. What is prob of sequence www?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 4*b - 100. Let a = -15 - b. What is the highest common factor of 50 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/(-53) - -12*(-15)\/10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 181 divided by -156628\nAnswer: -181\/156628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.395443 micrograms in grams?\nAnswer: 0.000000395443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 5*r + 8 = 0. Let d = r - -5. Solve 7 = -d*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**2 + 3*m + 2. Is d(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011 - 111?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1900.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + v - 3*v)*(2*v**3 + 0*v + 0*v) + 1 - v**4 - 1 + v**4 - 2*v**4 + 2*v**4 + (2*v**2 + v**2 - 2*v**2)*(-2*v + 2*v + 2*v**2) + 3*v**4 + 0*v**4 - v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 11. Let d(p) = -16*p - 34. Suppose -8 = -4*z + k, 5*k = 2*z + 8*k - 18. Give z*d(g) + 10*m(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.087 * -256.\nAnswer: -22.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -17. Let n be 1\/(d + 21\/(-6)). Find the first derivative of -2*b + 597 - 15*b**n + 2*b - 622 wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6*m + 2*m)*(81 - 27 + 73)*(2 + 0 + 0).\nAnswer: -508*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10064, 20134, 30204?\n\"Answer: 10070*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2003\/4 + -496. Let x = 24 + -20. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -18953 + 6321 + 6318 + 6315. Suppose -3*n + 2*z - 20 = 8, 4*n - 4*z + 44 = 0. Let c(j) = -j - 13. What is n*c(q) - 78*u(q)?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*x + 144 + 21, -5*x + 4*s = -220. Suppose k + x = 6*k. Let w = -7 + k. What is the greatest common divisor of 5 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71*((-8)\/(-4) - 0)*1?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -15. Suppose -t - 4*o = -14, -4*t - 8 = -5*o - 1. Suppose 2*k - 3*k = t*c - 26, -k = -5*c - 40. What is the remainder when k is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.016 - -0.037. Let a = p + -0.05300105. Round a to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*k - 1008. Let i = 63332618\/188811 + -2\/26973. Let h = k + i. Which is the smallest value? (a) 1\/8 (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.61 - 5?\nAnswer: -43.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyeyyy. Give prob of picking 2 y.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*t + 3*l, 1851*t = 1854*t - 2*l + 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*i**3 - 234*i**3 - 7*i**2 + 161*i**3.\nAnswer: -345*i**3 - 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0\/(3 + -2). Suppose -2*f + 5*f + 234 = 5*k, -k + 4*f + 40 = a. Suppose -b = -4*b + k. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3176273 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3\/n**8*(n**1\/n)\/n**7*n**2\/(n\/(n*n**6))*n**(-3\/5)*n*n**6*n assuming n is positive.\nAnswer: n**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 346.7, 0.4, -5, -31.\nAnswer: -31, -5, -1\/3, 0.4, 346.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 0*p)*(1 + 0 - 3)*(-5 + 0 + 1)*(-p**2 - 2 + 2).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-1*sqrt(11)) - (-5 + 0 + sqrt(5))) + -3.\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. What is the remainder when 14 + -1 + 5 + -6 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*x**4 + 1353*x**3 - 1018*x**2\/3 - 113*x\/3 = 0. Calculate x.\nAnswer: -113, -1\/12, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*t**2*y**2 + 1372837*t**2 - 511*t*y**2 - 40*t*y wrt y.\nAnswer: 102*t**2*y - 1022*t*y - 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 39*c**4\/2 + c**3\/6 + 3066*c**2 - 5029*c. What is the derivative of i(q) wrt q?\nAnswer: 468*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s + 1. Let t(g) = 12*g + 2. Let y = 5566 + -5569. Determine y*t(r) + 7*m(r).\nAnswer: 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viv when three letters picked without replacement from {v: 9, i: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s. Let x(i) = -2*i - 6. Let j(t) = 8*t + 27. Let g(v) = -9*v. Let d be g(-1). Let b(o) = d*x(o) + 2*j(o). Give b(h(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 2. Let y(w) = -3*w. Let d(x) = -6*x - 2. Let z(q) = 2*d(q) - 5*y(q). What is -11*k(i) + 6*z(i)?\nAnswer: 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4 = 2*h. Suppose 2*b + 12 = -3*x, 3*x + 12 = h*b - 0*x. Suppose b = -2*r + 2, -3*v - 2*r + 5*r + 9 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 11*g**3\/2 - 3*g**2\/2 - 6*g - 7. Let j = 10 - 8. Let r be u(j). What is the highest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 55*q**2 - 67*q + 10. Let n(h) = -27*h**2 + 27*h - 5. Let y(j) = -4*f(j) - 10*n(j). Let r(p) = -p**2. Give y(r(x)).\nAnswer: 50*x**4 + 2*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -74.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110122 - 2021211?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*f**6*r + 69821*f**4*r**2 - 2*f**2 + f*r**2 + 3119*f*r - 23 wrt f?\nAnswer: 14640*f**3*r + 1675704*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3*p**2 + 8*p**2)*(-5*p**2 - 2*p**2 + 6*p**2) + 3 - 3 + p**4 + (-2 - p**4 + 2)*(-4 + 5 + 1).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107329927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f + 120 = 0. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 8*q - 6*q - 44, -5*w + 5*q = -160. Suppose -1498 = -4*c - 4*l - 418, 2*c - 539 = -l. What is the remainder when c is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8345 + 0*r**3 - 3*r**3 + 8350.\nAnswer: -3*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5036712 weeks to nanoseconds.\nAnswer: 304620341760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694724 divided by 1?\nAnswer: -1694724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -313\/15. Let k = 546 - 545.9. Which is the second biggest value? (a) k (b) h (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 5*s + 3*s**2 + s**2 + s**2 + 0*s**2 + (-s + 3*s - 4*s)*(3 - 3 - 2*s) - 11*s**2 + 7*s**2 - 3*s**2 + 3*s**2 - 4*s**2 + 3*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g. Suppose -3*w + t + 8 = g, 0*w + w + 5*t = -8. Find the second derivative of -18*p - 2*p**w - 29*p**2 + 17*p - 31*p wrt p.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 16*n + 273511. Suppose 1999528 = -3*u - 5*d, -2*u + 3*d - 1827839 + 494814 = 0. Let w = u - n. Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 282695760, 565391521, 848087282, 1130783043?\n\"Answer: 282695761*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 6. Let z(l) = -2*l - 7. Let b be z(-5). Let n(h) = 1. Let u(v) = b*n(v) - t(v). Calculate u(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8449, 8567, 8765, 9043?\n\"Answer: 40*m**2 - 2*m + 8411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*-0.27.\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + 0 - (-2 + 6 + 17 + -16)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*j - 11 - 154, -2*j = 0. What is the tens digit of 284\/11 - (-10)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*j + 7*j. Suppose l = -j*l + 40. Suppose -12*g = -l*g - 620. What are the prime factors of g?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Suppose -14*l - s = -15*l. Solve 5*d = 5*u - 5, -3*u - l*d = 2*u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5899*v = 5904*v + 5*t - 10, -56*t = 4*v - 60 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g - 23. Let q be (-6)\/(-14) + (-312)\/(-56). What is the remainder when f(q) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 930880584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 3. Suppose -4*p + 22 = 6*y + 38, p - 2*y + 4 = 0. Let n(a) = a - 3. Give p*n(r) - 3*x(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 17*v = -3 + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2420*t**4 - 17627346*t**3\/17 + 9312642*t**2\/17 - 67230*t - 23166\/17 = 0?\nAnswer: -429, -3\/170, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*v**3 + 0*v**2 - 96*v**3 + 0*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9\/(-4) - (-25)\/20) + 395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 4*n - 20. Put 10, 1, n, 0 in decreasing order.\nAnswer: 10, n, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -59\/2814723 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -2\/9, 1\/44, 3, 2?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1976078\nAnswer: -9880390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1160846*s**4 - 16207*s**2 - 2*s - 21?\nAnswer: -27860304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -23. Let i = -52 + 36. Let z be (i\/102)\/((-6)\/(-9)). Is z not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 10*b**2 - 5*b - 18. Let v(t) = -t**2 - t + 1. Calculate d(f) - 5*v(f).\nAnswer: -f**3 - 5*f**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 132?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u - 17 = -i, 5*u + 20 = 0. Find the third derivative of 0*x**5 - x**i + x**5 + 4*x**5 + x**2 wrt x.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14416.238 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -238361055*y**2 - 162210994 with respect to y.\nAnswer: -476722110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 86*w**2 + 191*w - 4666. Calculate u(44).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/3))\/(o\/(o*o**2*o*o*o)*o*o))\/((o*(o\/(o**20\/o*o))\/o)\/(o\/(o\/o**(-10)*o*o*o))) assuming o is positive.\nAnswer: o**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/(-2 - (-36)\/20). Suppose -2*c = -2*w + 82, -c = -6*w + w + v. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzqzzzzzzzzzzzz?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 - 3*q. Let z be p(3). Suppose 2*o - 2*x - 20 = 0, z*x - 15 = -4*o - x. Solve 2*v = d - o - 1, 8 = -4*v + d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 6*g = -44, -132488*g + 132491*g = -2*r + 17 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2. Let m(v) = 157*v**2. Determine m(f(o)).\nAnswer: 1413*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -8 (c) -0.1 (d) 1003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -26) + (-5 - (1 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16 = -4*d + 2*y, 2*d - 4*y - 12 = 0. Suppose g - p + d = -2*p, -6 = -4*g + 3*p. Solve -t + 22 = 4*u, 5*t + 2 - 12 = g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 12*h + 9*h + (-4 + 4 - 1)*(-4*h - h + 2*h) + 2*h + 2*h - 5*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h + 2. Let q be b(-3). Let m = 8 + -5. Is q bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47850 is divided by 23799.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 457\/7 - 65. Which is the closest to h? (a) -1 (b) 49 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*u**3 - 31*u**3 + 2*u**2 + 3*u**2 - 22*u - 30*u**3 - 2*u**2 in the form j + v*u + o*u**2 + z*u**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22996 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 4*i + 3. Let j(x) = 3*x**2 - 9*x - 6. Let d(u) = 5*h(u) + 2*j(u). Suppose 5*b - 45 = 0, -7569*v + 7572*v + 4*b = 27. Give d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-7 + 1 + 14 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 122*k - 194. What is m(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.56 - -9.56. Sort i, -2\/19, -4.1, -0.5.\nAnswer: -4.1, -0.5, -2\/19, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 5\/483053?\nAnswer: 5\/483053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-168))\/((-1)\/(-2))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3115 - 0.1885. What is the fourth smallest value in -3, 16\/13, w, -0.01?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2344672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*p = 72, 69*n = 64*n + 5*p + 280. Suppose n*l + 13056 = 75924. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09698044 - -0.097. What is s rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:22 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - z + 29 - 8, -4*z = -20. Let o be (52\/(-20) + 3)*-10. Let k = o - v. Solve 0 = -k*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - 6*sqrt(95)*-2) + -6*sqrt(95)*-2)\/(5*sqrt(320)*-6).\nAnswer: -5*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 16 = -5*o - 46, 4*o + 7*q = 8*q - 27 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*j - 158 + 144, -9 = j - 4*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -536 in descending order.\nAnswer: 3, -2, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 540. Let p = r + -409. Calculate the remainder when p is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74956 or -74957?\nAnswer: -74956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138751797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h - 104 = -4*b, -5*b = -4*h - 139. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1. Let l(g) = g**2 - 24*g + 5. Give l(y) - 4*z(y).\nAnswer: y**2 - 24*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4*j + 2. Let r(c) = -4*c**2 + 13*c - 5. Calculate -2*r(a) - 7*w(a).\nAnswer: a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1717 divide 25001237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -12*g + 14. Solve n + 2*q - 2 = g, -q = 4*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 100*q\/9 + 48.\nAnswer: -2*(q - 4)*(q + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - v - 4*v + 14 = 0, 4*z = -3*v - 12. List the prime factors of (-2 - -1)*(z - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14420629 != -14420630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -157*n**7\/35 + 241*n**5\/12 + 14*n**2 + 4*n. Find the third derivative of i(x) wrt x.\nAnswer: -22608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + (-3*sqrt(110))\/sqrt(10).\nAnswer: -3*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 22*a + 8*a + 5*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 47 + 51. Suppose -u + n = 6*u. Suppose m + h = -2*m - u, -6 = 4*m + 2*h. Solve 2*b = -3 + m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2824 and 384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 262 and 28.\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 16. Suppose -447*l + 442*l + 65 = 0. Calculate the remainder when l is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and 148?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 10*w**2 - 12*w + 5. Let l be d(-9). Suppose -2*x - l = -0*x. Let p be 24\/(-10)*40\/x. Solve -p*a - 4 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 62?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/123 (b) -1\/4 (c) 4 (d) 21731\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 21*l + 73 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 28*d**5 - 192*d**4 - 812*d**3 - 672*d**2 - 80*d = 0.\nAnswer: -2, -1, -1\/7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6481*i**4 + 23420?\nAnswer: -25924*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -256? (a) -1\/8 (b) -4 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 31 = 6*g - 2*g, 2*x = 2*g - 2. Suppose x*a - 318 = 177. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 4. Let w be b(3). Suppose -f + 12 = w*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 2970110. Let c = -19608283\/33 - m. Let y = 497\/3 + c. Find the common denominator of -21\/8 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {a: 9, k: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 2, -95, -5, -3, -2, -4 in descending order.\nAnswer: 2, -2, -3, -4, -5, -56, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 7, k: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2301 divided by 23\nAnswer: -2301\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 3, y: 5, g: 5}. What is prob of picking 1 k and 2 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -36. Suppose -3*k = -2*f + 3332, f - k - 2*k - 1660 = g. Let b = 3725 - f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 11*h**2 - 18*h - 31. Let f be t(14). Suppose 11*m + f = -795. Let y = m - -328. Does 38 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.89907 - -8.9. What is q rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227205, 454330, 681455?\nAnswer: 908580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7368509 divided by 2.\nAnswer: -7368509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*p - 40 = 0, -p = -4*x + 31 - 14. Let t be (x - -2) + 3 + -3. Suppose t*d + 0*d = 115. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 (base 6) in base 8?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2 - 2)*(-3 - 2 + 3) - 2*g + g + 0*g + (4 - 2 - 1)*(-2*g + 2 - 2) - g + g - g + 11 - 5*g - 11.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let q = -21 - -9. Let d = 10 + q. Is d less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105704?\nAnswer: 2, 3, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*l - 75, -616*o = -608*o + 3*l + 45 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000100101 (base 2) to base 7.\nAnswer: 4405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -19. Let k = -0.119 + 0.419. Which is the third smallest value? (a) x (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-10)\/(-45) - (-47)\/(-90)). Let k = 0.4 + -0.4. Which is the closest to 0? (a) -0.1 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsshfhbfbsssstsstfss. What is prob of picking 1 h and 1 f?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896*s - 926*s - 934*s - 929*s - 2*s**3 + 3685*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/120 - u**5\/10 + u**3\/3 + 3*u**2. Let y be f(-6). Suppose -5*x = h - 4*h - 3431, -1380 = -y*x + 5*h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30152.\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169215 is divided by 56394?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.465+-0.07656\nAnswer: 5.38844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20418269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 80*i + 1294. What is v(-22)?\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*m**4*o - m**4 + 82*m**3*o + 526*m**2*o - m**2 - 61*m*o wrt m.\nAnswer: -13440*m*o - 24*m + 492*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6*a = 3*a, 0 = 5*x + 3*a - 18. Suppose -x*w + 2*w = -16. Solve 6*r - 2 = w*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118482 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 10*f + 3. Let g be x(-10). Suppose -2*a - c + g = 0, 2*a + 2*a - 2*c - 2 = 0. Let p be 29\/(-116) - (-45)\/(-8)*-2. Solve a = 2*v + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 7110?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10407*0.05.\nAnswer: -520.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-14)\/8 + 147\/(-28). Let l be ((-18)\/30)\/(1\/j). Solve -l*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 6*u**2 - 18*u + 10.\nAnswer: 2*(u - 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-13)*(-2)\/1. Let k = 1849.7 - 1850. What is the fourth smallest value in h, -2, 0.06, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-54)*1*(-9)\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/30 and -28\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -547739 divided by 472\nAnswer: -547739\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1353 - 1355. What is the second biggest value in b, -0.054, -4, 0.1?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 24*s - 24. Let f(u) = 25*u - 24. Let x(q) = 3*f(q) - 4*p(q). Calculate the remainder when x(-4) is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994000 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5076.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20566?\nAnswer: 2, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2. Let p(k) be the first derivative of -2*k**3\/3 + 14. What is p(s(z))?\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -220\/19, 0.2, -3, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 169408.\nAnswer: 3\/169408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.68 times 29.8?\nAnswer: -228.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16609 is divided by 7607?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k = -92 - 62 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4*s**2 + 4*s**3 - 2*s**4 - 2 - 2*s + 2*s**5 - 4*s**5.\nAnswer: -2*(s - 1)**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 887275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, -2, -7\/3, 10, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttqtttt. What is prob of picking 2 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(6)\/sqrt(3)) + 1 + (sqrt(80) - sqrt(5))**2 - -2*sqrt(605)*2 - ((sqrt(50)\/(sqrt(4)\/sqrt(2) + sqrt(2) + sqrt(2)))\/(sqrt(320)\/sqrt(4)))**2.\nAnswer: 6619\/144 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 524 and 917.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028674 rounded to 4 decimal places?\nAnswer: 0.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 9. Let q be v(15). Suppose -24 = -24*z + q. Solve 2 = -z*c - p, 8 = 3*p - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 6 - 17*a + 21*a + a**2. Let g(t) = 3*t**2 + 5*t + 7. Let k(c) = -7*d(c) + 6*g(c). Find the second derivative of k(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244 by 4.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/374 and -1\/77.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/90*4*-4*(-20)\/48.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*z + 1 = 0, 2*z = -5*r + 4*z + 22. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 184749000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4, 0 = 4*v - 2*v - 5*x + 72. Let w be (-1)\/2*1 + (-69)\/v. Which is smaller: -3\/43 or w?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159*u**5 - 320*u**3 + 4*u**2 - 24*u - 96?\nAnswer: -9540*u**2 - 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487679444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20064459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, h: 2, g: 3}. What is prob of sequence ddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*h**2 - 1900336 + 1900336.\nAnswer: 314*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 163*a**2 - 209*a + 42.\nAnswer: (a - 1)*(a + 42)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*n. Let b(l) = 2*l**3 + 6 - 227*l + 221*l + 8*l**3 - l**2. Let h be b(1). Solve n*k + 0 + h = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + 3*w + 4. Let k be o(3). Solve 0*r - 3*z - 10 = -k*r, 4*r = -4*z - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 2*z**2 - 4*z - 1. Let c be h(-3). Suppose 5*m + 4*x = -c, x - 2 = -5. List the prime factors of (m\/2)\/(1\/10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*u + 0*u + 102*u = 3388 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 154 - 15*a**3 + 40 + 57 - 2*a**3.\nAnswer: -17*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16829462 to the power of 1\/2, to the nearest integer?\nAnswer: 4102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (193 + -196)*(-2)\/(-60)*-4*15\/(-417).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = -8942. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/742 and 37\/94304.\nAnswer: 4998112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -2, 4 in increasing order.\nAnswer: -2, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/7 + (-125)\/(-175)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 103.\nAnswer: -322\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 5)\/(2\/8). Suppose -3*j + 25 = -k*j. Let n(h) = -h**3 + 4*h**2 - 5*h + 5. Let q be n(3). Let z(o) = 1. Let y(f) = 2*f - 7. Give j*z(p) + q*y(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-456)*52*6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + d = 13, 3*k + 1 = 2*d + 8. Let u = -169 + 505\/3. Which is the closest to u? (a) 5 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298.3 + -298.256. Which is the third smallest value? (a) -1 (b) 4 (c) -2 (d) 10 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-32)\/(-3) - (-22)\/(-33)). Let c = 11 - 66. What is the tens digit of 409\/11 - w\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5230759, -5230757, -5230755?\nAnswer: -5230753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -b31?\nAnswer: -b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 201 + 209 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*m*r*s*t**2 - 18*m*r*s + m*r*t**3 + 3*r*s*t**3 + 90*r*s - s*t wrt m.\nAnswer: 16*r*s*t**2 - 18*r*s + r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*c + 1340*j - 1336*j, -c - 4*j = -21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 3*j + 3*j. Let k(m) = -13*m**2 - 28*m - 7. Let p(n) = 4*n**2 + 8*n + 2. Let a(s) = -2*k(s) - 7*p(s). Determine v(a(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 15*d**2 + 16*d - 19. Give j(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-12) - (-2)\/168*-70.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/5)\/(-7)*5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 9777?\nAnswer: 9777.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 352*x**3 + 7*x**2 - 7*x + 7. Let n(p) = -178*p**3 - 3*p**2 + 3*p - 3. Determine -6*k(f) - 14*n(f).\nAnswer: 380*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14846 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350553982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858 is divided by 247.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 195\/27 - 10\/45. Suppose 0 = 2*x - q*x + 30. Suppose -4*v = r + x, 4*r - 24 = v - 5*v. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let y(r) = -185*r + 185*r + 3*r**2. Calculate y(a(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781945569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 less than -7?\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/5)*t*t\/((t*t**(-7\/3))\/t)*t\/t**11*t\/(t*t*((t**6\/t)\/t)\/t)*t assuming t is positive.\nAnswer: t**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -802 (b) -4\/11 (c) 5\/4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/9 + -4 - 8\/(-6). Let v be 52\/(-1105)*u\/(4\/10). What is the third smallest value in -0.7, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -6) + 2\/(6\/861). Suppose -4*a - 4*x + x = -p, -a + 4*x = -63. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:36 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133 - -2113032?\nAnswer: 2122231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1001\/24 + 183\/8. What is the common denominator of i and -77\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12020 and 39275951.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qztnz. What is prob of sequence nz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/28*(5418\/(-216) - -25))\/(1\/36).\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6157*h - 1944 = -6076*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-9 - (-15 + 7)) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 40*d**2 - d - 9*d + 17*d**2.\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.7 - 89.7. Which is the second biggest value? (a) 4\/5 (b) -0.2 (c) 3\/11 (d) r (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 5. What is c(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 10*q - 71. List the prime factors of t(11).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 1020*z**2 + 110256*z + 216448.\nAnswer: 2*(z + 2)*(z + 152)*(z + 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19088, -17149, -15210, -13271, -11332?\nAnswer: -9393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257523 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from yjyyyjjy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 4*u**3 - 280*u - 2*u**3 + u**2 + 288*u in the form x + t*u**2 + w*u + d*u**3 + s*u**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095821873 less than 1095821873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (438 - 350 - (-7 - (-2 + -1))) + -17.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-31)\/2 - -2)\/(3\/(-4)). Let i(j) = 134*j - 17. Is i(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y**2 + 27 + 0*y - 11\/3*y**3 + 7\/4*y**4. Find the third derivative of n(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Let n be 477\/24 - 20\/(-160). Calculate the highest common factor of t and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12658 is divided by 4216?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -41, 4, -436, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3 + 87*o**3 - 21*o - 7 + 12 + 17*o in the form x + d*o**3 + h*o + u*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917987585 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 141*o**2 - 69*o + 44. Calculate the lowest common multiple of 475 and p(70).\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 358 divided by 58?\nAnswer: 179\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 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: Let u(s) = 3*s**2 + 6 + 14 - 33 - s. Let o be u(-6). Let k = 116 + o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 37*b - 82 + b**2 + 81)*(6 - b**2 - 6).\nAnswer: -2*b**4 + 37*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 605657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 10}. Give prob of picking 1 u and 3 a.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z. Let x be b(0). Are 17 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -45*(48\/(-9))\/(-8). What is the units digit of 382*(-8)\/h - (-2)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -1531?\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (6 - (2 + -7 + 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 93 = -31. Suppose -2 = 3*z - 14. Suppose -5*y - 3*h = -z*h - x, -5*h = -20. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -4*2*(-21)\/8 and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 + 14*z - 5. Let k be v(6). Suppose k*y = 2*y + 21355. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 577792.6 weeks?\nAnswer: 349448964480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -73\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3314 - -2316. Let g = w + 1462. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 6*o**2 + 5*o + 6. Let y be i(5). Solve -y*f - 20 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21430*n + 35304*n - 21645*n + 47702*n.\nAnswer: 82791*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1)*(4 - 34\/9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1777*m**3*p*r + 2*m**3*p*t + 18*m**3*p + 3*m**3*t + 5*m*p*r*t + 2*p*r*t - 11*p*t wrt r?\nAnswer: -1777*m**3*p + 5*m*p*t + 2*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515*c + 595 = -1451*c + 885 + 1886 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(405)\/(sqrt(9) + -4*sqrt(9)))\/sqrt(9))**2 + (-4 + -6*(-1 + sqrt(5))**2)*-2.\nAnswer: -80*sqrt(5)\/3 + 869\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13200773*h**3*j - h**2*j + 10*h**2 + 2*h*j - 6*h + 376*j wrt h.\nAnswer: -79204638*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -34573\/15 and -2305 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (0 - 2))\/(-2). Suppose k = 5*o - 7*o - 80. Let d = -20 - o. What is the greatest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -24. Let r be 172\/z + 1\/4. Let p(j) = j**2 - r + 11. Let q(s) = s. Determine p(q(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -73 and -2368166190034.\nAnswer: -2368166190107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3. Let c be (0 - -4)*3\/(-15). Let j = 0.1 - 0. What is the closest to -1 in r, j, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2821 - 3446*y + 2818 - 5641 + 2*y**3 + 2*y**2 in the form t*y**3 + x*y**2 + q + c*y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)\/(-27 + 28). Suppose 4*x - 5*o - 20 = m, -15*x + o + 4 = -17*x. Solve 3*t - 2*g = x, 4*g - 6*g = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let a(d) be the second derivative of -d**5\/60 + d**4\/12 + 2*d**3\/3 - 3*d**2\/2 + 8*d. Let w(u) be the first derivative of a(u). What is w(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111012 (base 4) in base 9?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/9, -2, 6, -1, -5, 0.19?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z - 44. Calculate the remainder when d(-7) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6372791?\nAnswer: 701, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 2*c. Is 7 a factor of 21 + (-1)\/c*0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i = 12*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -0.8. Let n = -671.83 - -671.73. Sort 10, n, 0.3, d in ascending order.\nAnswer: d, n, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/30 - o**3\/3 - 3*o**2. Give m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 2*q - 2*q)*(21*q - 33*q + 9*q - 45).\nAnswer: 6*q**4 + 90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*-13339.02.\nAnswer: -1133816.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*-2 + 2*(sqrt(121)*2 - sqrt(121)))\/(sqrt(11) + (sqrt(11) - sqrt(121)\/(sqrt(55)\/sqrt(5))) + sqrt(99)\/(sqrt(36)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 6*i - 8. Let s be 20\/9 + 2\/(-9). Suppose -4*q = 2*v - 2, 0 = -s*q + q - 3. Let k be x(v). Let b(g) = -4*g. What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 37*p. Let s(o) = -5*o. Calculate s(y(j)).\nAnswer: -185*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(862*d + 6*d**4 - 25*d**4 - 865*d).\nAnswer: 38*d**4 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*f - b - 2, 2*f - 2*b - 12 = 0. Sort 3, -4, f in increasing order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1355 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/975 and -6\/8125.\nAnswer: 24375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/12 + (-1 - 2). Solve d - 2*d - 4 = r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44243*f**5*l**2 + 17*f**2*l**3 - 76*f*l**2 - 96*f*l - 53*l**3 - l**2 wrt f.\nAnswer: 884860*f**3*l**2 + 34*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 2750\/3 + 45\/(-27). Let i = -193 + p. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430.6516 tonnes to grams.\nAnswer: 430651600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(44)\/(4*sqrt(36)) + sqrt(99)\/(sqrt(9) + ((1*sqrt(324) - sqrt(324)) + sqrt(324) - sqrt(324)) + sqrt(9)))**2.\nAnswer: 7*sqrt(11)\/2 + 1835\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1138 and -999.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -86, -166, -278, -422?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 10*h**2 + 30*h - 8. Is u(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -16*g + 1. Suppose -14*c - c - 16*c - 31 = 0. Let n(a) = -a - 1. What is c*h(x) - n(x)?\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/92740 and 87\/3385010?\nAnswer: 6770020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a4 - -21?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16530, 54160, 116876, 204678, 317566, 455540, 618600?\nAnswer: 806746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, g: 4, s: 2, i: 1, r: 2}. What is prob of picking 1 s and 1 g?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 3*v**5\/40 - 7*v**4\/8 + 5*v**3\/2 - 237*v. What is f in m(f) = 0?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5 - 7792*q**2 - 124*q**4 - 3764994 - 102*q**3 + 19840*q + 1542*q**3 + 5*q**5 + 3745794 = 0.\nAnswer: 3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5166)\/23370 + (-1)\/(-20)*-4.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-92)\/6*((-36)\/(-4))\/(-3). Suppose j*p - 42*p = 224. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 97, 354, 783, 1384, 2157?\n\"Answer: 86*k**2 - k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 36219*w**3\/4 - 664027*w**2\/4 - 229277*w\/2 + 38 = 0. Calculate w.\nAnswer: -2\/3, 4\/12073, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897*h + 126 = -911*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.31 - 45.31. Let i = 35.2 + n. Round i to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 187*a. Let o(h) = -5*h. Let f(r) = -18*r - 163. Let q be f(-9). Let b(t) = 16*t. Let d(w) = q*b(w) - 3*o(w). Calculate d(c(x)).\nAnswer: -187*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.3*145.\nAnswer: -2073.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 109868039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c2 (base 14) in base 15?\nAnswer: 6cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 481.8341mm?\nAnswer: 481834.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -781\/9 - -87. Which is the nearest to -1? (a) y (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -356050?\nAnswer: 3\/356050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3961.\nAnswer: 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86813 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/2 and 65\/122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*0.4153\nAnswer: 0.058142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 7:01 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -670.3 + 670. Let c = 0.03 - -0.07. Let t = 0.4 + c. What is the second biggest value in t, z, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/6)\/(-1)*(-28)\/(-3). Suppose z + w = l, 0 = -2*z - z + 4*w + 70. Suppose -2*r - 2*r + 24 = 0. Calculate the lowest common multiple of z and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 5. Suppose -3 = -3*j + 48. Let w(a) = -18*a - 10. Let v(t) = 4 + 27 - 1060*t + 1113*t. Let b(k) = j*w(k) + 6*v(k). Determine -5*b(p) + 16*f(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 2*x**3 - 3*x**3 + (x**2 - x**2 - x**3)*(-1 + 3 - 3) - 4 + 3*x**3 + 7 - 4.\nAnswer: 5*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-1102)\/(-174))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 287581, 287575, 287565, 287551, 287533, 287511?\n\"Answer: -2*o**2 + 287583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 + 718 = -89*a - 367 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 8.4. Suppose -3*u - 7 = l, -3*l + 21 = -u - 4*u. Which is the second smallest value? (a) o (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by -7 + 11 - (-240)\/16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -39354*c - 2. Let t be n(-1). Let j be (-2)\/(-10) - t\/(-40). Suppose -j = -4*u + 4*p, -u = -5*p - 250 + 16. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-40)*(-4)\/(-110)*3\/12*5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181404 - 34264 = 1860*o + 2499*o + 896*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 210.7235\nAnswer: 210.9235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*2)\/sqrt(12))\/(sqrt(5)*-2*6))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -1, -151430 in ascending order.\nAnswer: -151430, -8, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, 7, -1404.7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 - y**2 + 3*y**2)*(2*y - y + y) - y**3 + 4*y**3 - 2*y**3 + 0*y**2 - y**2 - 27*y**3 + 25*y**3 as h*y**2 + j + l*y**3 + u*y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = p + 224, 3*g - p + 6*p = -232. Is (1 - (-9)\/(-6))*g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*y + 3*y - y)*(-2 - 3 + 6) + y - 1 + 1 - 22 + 22 + 5*y)*(-26 + 12 + 9) as u*y + x and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -8*q - 19 + 7, -2*q = y + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02091 + -0.42091. Which is the third biggest value? (a) 10 (b) y (c) -2\/3 (d) 2\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 20*r = -24*r - 460178, -4*i + 2*r + 306786 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15285509 or 30571017\/2?\nAnswer: 15285509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 90*g = 92*g + 1, u + 3*g = 6. Let l(k) be the first derivative of -5\/3*k**u - 3 + 0*k - k**2. Factor l(h).\nAnswer: -h*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 6*b**3 - 3*b**3 - 205 + b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3335 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9 - 7) + -5 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 + 2 - -4 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 - (0 + 2 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439.\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-10 - -41) - (4 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 767 + -309. Does 28 divide (-4 - r\/(-4)) + 6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54919 = 3763*f - 20924 + 67606 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -239*i - 2. Let t(k) = -k**2 + 2*k**2 - 2358 + 2358. Calculate q(t(r)).\nAnswer: -239*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1000332 - -1021?\nAnswer: -444311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 2\/5*i**5 + i**2 - 6 + 3\/2*i**4 + 0*i + 2*i**3. Let t(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 140 - 11 - 5*k - 29 - 25. Calculate x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90 - i**3 - 4*i + 130 + 6*i**3 + 9*i + 4*i with respect to i.\nAnswer: 15*i**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457601530.\nAnswer: 2, 5, 45760153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033181 rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2051*q*r**3 + 414*r**3 wrt q?\nAnswer: -2051*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12938*z**2 - 3*z - 31. Let d(g) = 2*g. What is p(d(o))?\nAnswer: 51752*o**2 - 6*o - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s + 32 = 64*s. Solve -2*j - 8 = -s*o + 18, -o + 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 - (-10 + -5 + 27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42421, 84840, 127259, 169678?\n\"Answer: 42419*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z)**(-30\/7)\/((z*z\/(z**(1\/4)*z)*z*z*z)\/z)**(-21) assuming z is positive.\nAnswer: z**(231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/234 and 37\/93418.\nAnswer: 840762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9849702100 rounded to the nearest 1000000?\nAnswer: -9850000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -6*z**2 + 3\/2*z**3 + 1\/12*z**4 + 25*z + 0. Is 4 a factor of a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*v + 80 + 15 + 83 + 44*v + 54.\nAnswer: 7*v + 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2788 = -2647*v + 2483*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 54, 87, 130?\n\"Answer: 5*s**2 + 8*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 400, 910, 1620, 2524, 3616?\nAnswer: 4890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76984217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (30 - 22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1402 = -4*z + 1402, -f + 580 = -4*z. Let d be 1\/5 + f\/30. What is the second derivative of -5*r + d*r**4 - 23*r**4 + 16*r wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 233\/7. What is the smallest value in b, -30, 2\/5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Let h = -3 + m. Solve 0 = 6*a - h*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*f**5 + (3 + 0 - 1)*(10 - 33*f + 0 - 12)*(5*f**4 + 7*f**3 - 7*f**3).\nAnswer: -332*f**5 - 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(22)\/(1*sqrt(8)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45347238 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: Calculate the common denominator of -23\/870 and 12\/55403485.\nAnswer: 332420910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 65\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 72. Determine t(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.3. Let u = -176.47 + 3.47. Let k = -171 - u. Which is the nearest to k? (a) t (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d83 - -5?\nAnswer: 2d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -219702 divided by 1?\nAnswer: -219702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 35 = -v. Are v and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Suppose 2*a + 2 = -4*b, 0*a + 5*a = -b - 5. Let w(q) be the first derivative of 2 + b*q - 3\/2*q**2. What is r(w(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 208*p**3 + 2*p - 1. Is r(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 13*v - 4. What is the lowest common multiple of k(-5) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 657.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 5*m - 2*m)*(-m**3 + 0*m**3 + 0*m**3)*(-2 + 16 - 4)*(13*m + 0*m + m).\nAnswer: -140*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1369 or 324158\/237?\nAnswer: 1369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 9, v: 2}. What is prob of sequence ss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 3*i**2 + 5*i - 1. Let j be s(4). Suppose 0*p - 24 = 2*w - p, j*w + p + 36 = 0. Let y = 2 + 2. Sort w, -5, y.\nAnswer: w, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2447611 is divided by 186.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zux when three letters picked without replacement from {x: 3, g: 6, i: 1, z: 4, s: 4, u: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2069, 2418, 3005, 3836, 4917, 6254?\nAnswer: 7853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((4\/5)\/((-2344)\/4395)))\/(4\/118)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14411133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**15\/b)*b)\/b)\/b**(-6))\/(b**(-2\/31)\/b**(-21)) assuming b is positive.\nAnswer: b**(-835\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1399 - -5631\/4. What is the common denominator of m and -29\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnntnttu. Give prob of picking 2 n, 1 u, and 1 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, 5, -3, 2, 559?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let w(s) = 23*s + 71949. Give w(n(g)).\nAnswer: -23*g**2 + 71949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 713416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6732 and 277508.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 + 5 = 0. Let o = -10.8 + 10.8. Which is the nearest to o? (a) -2\/3 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 + 9*c + 1. Suppose -5 = o - 0*o + 2*g, 0 = -o + 4*g - 5. Let t(f) = -5*f**2 - 8*f - 1. Let x(m) = o*t(m) - 4*r(m). What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 25*r**2 - 46*r - 12. Calculate d(23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atcixtcio. What is prob of picking 1 a and 1 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 + 271. Let z = d + -44.8. Put z, -1\/6, 3 in descending order.\nAnswer: 3, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124958.\nAnswer: 2, 43, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*k**4 + k + 363 wrt k.\nAnswer: 56*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 1488570?\nAnswer: 89314.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 3. Let m be v(-7). Let u = 0 - 0. Suppose -c - 13 = 5*x, u = -5*c - 0*x - 2*x + m. Solve f = g - 8, 0 = 2*f - c*g - g + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxoxksdoxbddo. Give prob of sequence sbkb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d + 2*d**4 - 9*d - 6*d**3 - 2*d**3 + 2*d**3 - 18*d**2 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 155 + 24 = 5*u, 0 = c - 2*u + 89. Let v = c - -63. What is the tens digit of v\/(0 - -11 - 4)*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6 + 10*j - 8 - 2 - 25*j. Suppose -5 + 8 = -3*r. What is the tens digit of o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - y**2 - 5*y + 7. Suppose -3*f = 7 - 16. Suppose -f*m = -2*m - 3. Let h be x(m). What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1734682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 729466 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -597*g - 35769. Calculate b(-60).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7364888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + 296. Suppose 5*i - 2*h - 1420 = 0, 133*h = -4*i + 130*h + 1182. What is the greatest common divisor of i and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18005.\nAnswer: 5, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - -12)\/(1\/(-15)). Suppose -3*g = -4*q - 171, -3*g = -8*g - q + 308. What is the lowest common multiple of (12\/10)\/((-2)\/c) and g?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2250 divided by 750\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 857 - 33. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -87, 2, 6\/7, 0.043?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 11321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065 - 1083 = -9*z. Let m(q) be the first derivative of 30*q - 11 + 0*q**3 + 0*q**z - 11\/4*q**4. What is the derivative of m(s) wrt s?\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -53*z**2. Let n(p) be the first derivative of 0*p - 3\/2*p**2 + 158. Calculate n(o(k)).\nAnswer: 159*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, 1 g, and 1 x when four letters picked without replacement from xxseccggj.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -701 (base 14) in base 11?\nAnswer: -1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 minus 447?\nAnswer: -442.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + 8 + -3 + 13. Solve 5*y - 3 = n, 3*y = -d*n - n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543 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 o = 23 + -19. Factor w**2 + 0*w**2 - o*w**2 + 12.\nAnswer: -3*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 + 67746*n**4 + 813360*n**3 - 4066328*n**2 + 4337280*n = 0.\nAnswer: -16, 0, 2, 33885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 57*m + 2266 = -6*m - 38 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*s + 1132 = 128, -4*m + 969 = -3*s. Let h = 262 - m. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 34.7. Let g = o + 2.2. Let y = 52\/7 + -482\/63. What is the nearest to y in g, 0.3, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 3*f = -30, 4*f + 15 = 1431*h - 1434*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ululuuuluuu. What is prob of picking 4 u?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q + 26*q + 16*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2. Suppose 0*h - 16 = -4*h. Let t be m(h). Suppose f + 11 = 3*q, 0 = 3*f + 3*q + t*q - 37. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(2\/6*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*h + h. Suppose t - 17 = -h*s, 3*s = -2*t - t + 63. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2299) - 3*sqrt(2299)) - (sqrt(2299) - (sqrt(2299) + 5 + 3 + sqrt(2299))))**2.\nAnswer: 880*sqrt(19) + 57539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4841449 micrometers to millimeters.\nAnswer: 0.0004841449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2608 or 2606?\nAnswer: 2606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2807, 5616, 8421, 11222, 14019, 16812?\n\"Answer: -2*d**2 + 2815*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/(6 - 1465\/(-30)). Let z = -971\/2632 - h. What is the common denominator of 27\/14 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) -1\/4 (c) 2\/5 (d) 2 (e) 6132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:34 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 680 + 689 - 1369.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijc when three letters picked without replacement from {j: 1, c: 2, v: 1, i: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/11701 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0.4 (c) -1 (d) 3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18876 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: List the prime factors of 840.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -2\/7, 2\/11, 1, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, -40 in decreasing order.\nAnswer: -1, -16, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/315 and -86\/36225.\nAnswer: 36225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7\/70)\/(-10*(-6)\/(-150))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -4 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/7 (b) 0 (c) 260232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from nddqpdnnddpdndndqddn.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 210907a + -2?\nAnswer: 2109078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 3 - 1 - (-26 - -565). Let r = -401 - u. Which is smaller: 138 or r?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 4*v**2 + v**5 + (32 + 10*v**2 - 32)*(-2*v**3 + 3*v**3 - 4*v**3) + v**5 - 1 + 1.\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4072?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 141619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(15)\/sqrt(3) - sqrt(5))**2 + sqrt(40)\/(sqrt(32)*-4).\nAnswer: -sqrt(5)\/8 + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*k**2 - 345*k**2 - 336*k**2 - 344*k**2 - 349*k**2 + 2047*k**2 - 340*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 195 = 5*q + 4*h, -q - 3*h = 47. What is the smallest value in -2\/3, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*i + 2 - 2 + 128*i as s + z*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.932 nanograms in micrograms?\nAnswer: 0.314932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 7286 + 919. Solve 605*a - v*a + a**2 + 876 - 35 = 0 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -158150, -158159, -158168, -158177, -158186?\n\"Answer: -9*h - 158141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -6*u**4 + u**3 - u**2\/2 - 2*u + 3573. What is m(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*j**3 - 2*j**2 - 606*j.\nAnswer: 642*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = 2*x, 12*x = 15*x - 3*d. Solve -20 = x*f + 4*y, 5*f - 2*y - y = -20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 7)*(129 - 2*y - 121 + 0*y).\nAnswer: -22*y + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)*a\/a**5*a**2*a*a**(-3\/4)*(a\/(a*a**6))\/a**(1\/9)*(a\/a**4)\/a*a*a\/((a**(1\/2)*a)\/a) assuming a is positive.\nAnswer: a**(-481\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 178241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 997977 and -2433.\nAnswer: 995544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 3*q**2 - 3*q + 4. Let m = -9 - -11. Let y be v(m). Suppose y*l - 81 = 33. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -788900\/11 or -71718?\nAnswer: -788900\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7541742 - -4?\nAnswer: 7541746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 64173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -12251.\nAnswer: -3\/12251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676 is divided by 451?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llflzllfzzllza.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4392727\/80 - -54908. Find the common denominator of b and -85\/2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -15*n**5\/4 + 25*n**4 - 205*n**3\/4 + 25*n**2 + 15*n = 0.\nAnswer: -1\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542, -1069, -1596, -2123?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 2*d**2 + 2*d)*(-39 + 24 - 46*d + 15) to the form m*d**3 + f*d**2 + a*d + n and give m.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0 + 1\/14*c**2 + 1\/42*c**3 - 1\/84*c**4 - 1\/140*c**5 - 83*c. Find x such that i(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 24 - 1. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 58*f. Let j(n) = -8*n**2 + 103900. What is j(g(q))?\nAnswer: -26912*q**2 + 103900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1104 and 273056.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:10 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000011010101 (base 2) in base 6?\nAnswer: -341421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -61342679.4 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -5*z**4\/6 - z**3 + 6*z - 5. Let h(s) be the first derivative of t(s). Find the second derivative of h(f) wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 69\/325883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 3*q**2 - 2. Let i be h(-3). Let p be (7 + i)*(-32)\/(-40). What is the units digit of p\/(-2*(-5)\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.2 - -8.3. Which is the nearest to r? (a) 2\/3 (b) -10 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 - -101.72. Let q = 560.2111763 - 557.49119. Let w = a - q. What is w rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(70) - sqrt(70) - sqrt(70))\/sqrt(10) + (sqrt(49) - sqrt(539)\/sqrt(11))\/sqrt(7))**2 + (sqrt(126)\/sqrt(50))\/((sqrt(18)*3)\/sqrt(2)).\nAnswer: sqrt(7)\/15 + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-3) + (10 - 7). Differentiate 0*b**4 + 142 + 3*b**k - 2*b**4 - 95*b**2 - 57 wrt b.\nAnswer: 4*b**3 - 190*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + o + o + 147 + 0*o - 3*o**2 + 2*o**3 as f*o**2 + c*o**3 + h + p*o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -0.3. Let v = q - 5.1. Let r = -5.996 - v. Round r to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1131 + -804. Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -5*s**3\/6 + 10*s**2 - 2*s + 25. What is the remainder when 313 is divided by f(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -2\/5, 28, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64960 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 382 + -389. Let j = 1 - -1. Let s(r) = -j - 13 + 2*r - 3*r. Give s(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5966 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00121356744 rounded to six dps?\nAnswer: -0.001214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2*h + 50 = 0. Solve -5*i - 10 = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9374072419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4851304 and 1.6.\nAnswer: 0.77620864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 14700015 = 3*v, -2*v + 2*x = -2*x + 9799980. Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -852\/7531 + -2\/443. Do -0.02 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 3040.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34807 is divided by 34805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-24)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 3, -23, 2 in decreasing order.\nAnswer: 3, 2, 0.2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - 2*sqrt(125))*2 + 1)**2 + 2.\nAnswer: -20*sqrt(5) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-152)\/(-6) + 11\/(-33). Let x be 13\/65 + (-5)\/q. Suppose 0 = 5*l - 4*o + 1, -l + 3*o - 6 = 3. Solve -c = -x*c - l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 6, 15, 38, 81?\n\"Answer: n**3 - 2*n**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t + 5 + 1 - 3. Let x(b) = 23*b + 9. Let u(a) = -8*r(a) + 3*x(a). Differentiate u(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/9, -0.02, -0.5 in descending order.\nAnswer: 34\/9, -0.02, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460132 is divided by 559?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2566404*s**2 - 487008*s + 23104.\nAnswer: 4*(801*s - 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.059 - 6.341. Let a = m - -6.7. What is the second biggest value in -0.3, a, -2, 49\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305 + -305.069. What is s rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)*u)**31 assuming u is positive.\nAnswer: u**(217\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 8*z)*(1 + 0 + 1)*(3*z - 3 + 3)*(2 + 2*z - 2).\nAnswer: -96*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9721.69667 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 18*h - 58. Let u be y(10). What is the common denominator of -43\/70 and u\/(-44)*80\/(-154)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 1 - 3*f**2 - 8*f**2 + 2*f**2 + 6.\nAnswer: -9*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.52 and 2.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*r + 43*r + 2*r)*(126 + 126 - 166) to p + s*r and give s.\nAnswer: 5246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-46))\/((-70)\/(-140)))\/(1*-6)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 420, 0, 4 in increasing order.\nAnswer: 0, 4, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/210*(-6)\/4*5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32721 times -0.004?\nAnswer: 0.00130884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-20)\/(-8)) - (-6)\/6. Calculate the common denominator of -137\/70 and p*(-193)\/14 - 8.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:51 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-6)*(-12)\/27*3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 7\/3, -23, -1\/4, 19, -1\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-140))\/((-6)\/(-16)). Let n be (-6)\/8 + (1035\/(-36))\/23. Which is the third smallest value? (a) 3 (b) k (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, m: 7}. Give prob of picking 1 u and 1 n.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 2 + 2 - 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 335 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141310861 by 117661.\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 70*z**3 - 415*z**2 - 1020*z - 540 = 0. What is z?\nAnswer: -18, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bcbbbbcbbbbc.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8 + 0*a + 17*a + 14*a. Let k(y) = -3*y**2 - 47*y - 27. Let b be k(-15). What is the units digit of u(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h - 2. Let j(d) = 6*d**2 + 11*d - 11. Let q(i) = -4*j(i) + 22*k(i). Let b(r) = 5*r. Calculate b(q(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78845474 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: Calculate the remainder when 778 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2001*d**3 - 2019*d**3 + 47 - 47.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.44 and -4.\nAnswer: -33.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 74. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -733 + 762. Suppose h*i - 16*i - 156 = 0. Solve v + 3*v + i = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k**3 - 2*k**2 - 2*k. Suppose -4*w - 19 = 13. Let r(l) = 4*l**3 - l**2 - l. Give w*r(a) + 3*s(a).\nAnswer: a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnlfflffffnlnffll. Give prob of sequence fn.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 159 = -167 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 6 - -14 - 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*s**3 - 12*s**2 + 17*s + 4 wrt s?\nAnswer: -222*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16265 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10172, -13, 2, -3 in increasing order.\nAnswer: -10172, -13, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 + 1)\/(70\/(-28))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from {k: 3, f: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 444a052 - 1?\nAnswer: 444a051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7739381?\nAnswer: 13, 139, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 - 1. Let n(s) = 2*s**3 - 4*s**2 - 4*s + 18. Calculate -n(a) + 3*x(a).\nAnswer: a**3 + a**2 + 4*a - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -717000 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 129535354?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 527\/3 - 175. Let z = 2 - 2. What is the third smallest value in t, z, -0.5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/84820 and 71\/270.\nAnswer: 2290140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 54. Suppose 4*i - a = -4*a - m, -i - 5*a - 28 = 0. What is the nearest to -1\/4 in i, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1507*u + 62766 = -1498*u. Let n = u + -1944. What is n rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1232700, 1232674, 1232648, 1232622, 1232596?\n\"Answer: -26*q + 1232726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.260256kg?\nAnswer: 0.006260256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 - 46*m + 83. Let i be o(-17). Which is the smallest value? (a) -22 (b) 2\/5 (c) 5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.848357 to 3 dps.\nAnswer: 2.848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24186669893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -21810, 2\/9, -1\/11, -2 in descending order.\nAnswer: 2\/9, -1\/11, -0.9, -2, -21810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1450286 <= -1450306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*x + 4106 = -2*x, 4*a - 3*x = 4109. Let d = -1975\/2 + a. Find the common denominator of d and (2\/20)\/(2\/(-325)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -3 - 3) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 453708 and 972.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015494695 rounded to 7 decimal places?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -216705623 divided by -169699?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 1. Let f(q) = -q**3 + 2*q - 2. Let x(k) = -6*k**2 + k. Let b be x(1). Let c be 18\/9 + (b - -1). Give c*u(g) - f(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 136. Let y = 107 + z. Solve 0 = -0*g + 4*g - 3*p + 23, -g + y*p = 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 - 5*h**2 + 4*h. Let g be t(2). Suppose -g*v - 62354509 = -10354509. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n - 37. Let z be r(-6). Suppose -z = -2*p + 23. Suppose a + 2*a - 30 = 0. What is the remainder when p is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*t + 64, 5*t + 72 = -0*t + 3*d. Let n = t - -29. Calculate the remainder when 66 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129850640 to the power of 1\/2, to the nearest integer?\nAnswer: 11395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296130 is divided by 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuu. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2136*f + 4050 = -2049*f - 4772 - 24658 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 22 - ((0 - -3) + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7) - (sqrt(7) + sqrt(21)\/sqrt(300))).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {t: 1, j: 1, m: 1, g: 1, a: 1, p: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.5 - 1. Let r = 1.8 + 3.2. Let y = r - f. Sort -1, y, 0.2 in ascending order.\nAnswer: -1, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 165657*w**2 + 2288591877*w + 47987402463.\nAnswer: 3*(w + 21)*(w + 27599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 6*v + (-4 - 1 + 1)*(6*v - 2*v - 6*v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 141 + 4?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/u**5)))\/u**0)**(-13) assuming u is positive.\nAnswer: u**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4975*i**5 + 73818*i.\nAnswer: -99500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -98226, 7, -5 in descending order.\nAnswer: 7, -5, -98226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + 1 - 1 + (0 + 0 - 2)*(-2 + 7 - 2)*(0*x**2 - 5*x**2 + 3*x**2))*(7 + 1 + 13) to the form o*x + n + g*x**2 and give g.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19461 - 19398. What is the remainder when 131 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, 0.3, -0.5, 0.4 in increasing order.\nAnswer: -0.5, -2\/11, 0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 392 - 404 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268596 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ffffiififfff.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -43. Let x = 22 + j. Suppose -n + 10500005 = -4*r + 3*r, -3*n = x*r + 41999985. Round r to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*c**2 - 114*b**2*h + 11*b*c**2*h - 2*c**3*h - c**3 - 3*c*h - c wrt c.\nAnswer: 6*b**2 + 22*b*h - 12*c*h - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/5 + (-7)\/4. Let n be -3 - ((-70)\/6)\/5. Which is the nearest to -0.1? (a) n (b) o (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2118.11 and 140.\nAnswer: 296535.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - -3)\/3 + 32. Let g be 98\/8 + (-7)\/i. Suppose c = -m + g, -5*c - m - 2*m = -66. Solve 0 = b + 2*b + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {j: 3, n: 5, g: 3, w: 7, t: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3 + 128005*r**2 + 1024280*r + 2048720 = 0?\nAnswer: -4, 25609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -11301113?\nAnswer: -11301132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271081\/22 + 12317. Calculate the common denominator of 89\/10 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8.33, -3, -1\/3, -2, 1\/5 in decreasing order.\nAnswer: 1\/5, -1\/3, -2, -3, -5, -8.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 7*t + 11. Determine p(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -5\/2*f**2 - 5*f + 0 - 1\/20*f**5 - 7\/12*f**4 - f**3. Calculate z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75245.\nAnswer: 5, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14 = 4*m - 5*m, 5*m = -2*x + 18. Let v(o) be the first derivative of 0*o**2 + 0*o + m - 1\/6*o**3. Factor v(i).\nAnswer: -i**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 297. Let d(z) = z**3 + z. Let c(m) = 6*m**3 - m + 1. Determine y*d(v) + c(v).\nAnswer: v**3 - 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:50 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 3248.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11.7 * -0.04\nAnswer: -0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -26, -1, -3, 1\/48, -0.1?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 13*c - 3. Let i be l(2). Let s = i - 18. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27889\/139495 - -2\/27899. Let 9\/5 + 19\/5*d - 18\/5*d**3 - 11\/5*d**4 + 2\/5*d**2 - s*d**5 = 0. Calculate d.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 74*l = -76*l + 6, -2*b - 3*l + 19 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(((d\/(d\/(d\/(d\/d**15*d))))\/d)\/d)*d\/(d**17*d) assuming d is positive.\nAnswer: d**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 3\/22829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*y - 46*y - 6*y**2 - 30*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 4*h**2 - 3*h + 2*h**3 + 5*h + 0*h**2 in the form t*h**2 + j + d*h + c*h**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0400247 to four dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7*c + 4*c = 19211, 0 = 4*j - 3*c - 15370. What are the prime factors of j?\nAnswer: 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 8*v**2 - 6*v + 7. Let k be u(-7). Suppose 5*o - d = -3, 2*o + k*o = -5*d + 15. Let w = 1 - o. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/5))**(12\/17) assuming w is positive.\nAnswer: w**(108\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 + 210*q**4 + 1300*q**3 + 2670*q**2 + 1575*q = 0 for q.\nAnswer: -35, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -6 + (2899 - 2740)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(217\/(-2)) - (3 - 3). Which is the closest to -2? (a) 1 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 1 = -x, 3*x - 3*i = -21. Let v be ((-18)\/5 - -4)*x. Let f(s) be the second derivative of -s**4\/12 - s**3\/3 - s**2 - 2*s - 63. Give f(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-13 - (-1 + 12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 greater than -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33323128965 + 0.2\nAnswer: -33323128964.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z + 2*z)*(z - 4*z + 4*z) + (0*z - 6*z - 4*z)*(-2*z - z + 2*z) + (-3*z - 3*z + 4*z)*(-3*z + 4*z - 3*z).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 - 7*i - 7. Let b be -1 + 1\/((-2)\/(-48)*3). Let d(v) = -2*v**2 - 3*v - 3. Suppose -33*n = 85 + 14. Calculate b*d(g) + n*h(g).\nAnswer: -3*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 4. Suppose -3*x + x = -44 + 34. Let i(z) = 3 + 6*z + 2*z - 3*z. Let y(l) = 1. Let o(h) = i(h) + 3*y(h). Determine x*o(u) + 8*d(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5\/3 + 32*q**4 - 268*q**3 + 2840*q**2\/3 - 1488*q + 864 = 0 for q.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 0*u + 0 - 3\/2*u**4 + u**5 + 0*u**2.\nAnswer: u**3*(u - 2)*(2*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (48775\/1951)\/((-15)\/36)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.57 minus 625788?\nAnswer: -625516.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5129762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 876 = -2*r, -2*r + 2*l - 1124 = -248. Let q = -441 - r. Let t = -1 + -3. Which is the smallest value? (a) -0.07 (b) t (c) q (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from togpqdt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {e: 1, i: 5, m: 1, j: 3, h: 2, r: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 2)*(-z**2 - z + 3*z + 2*z**2 + (-z**2 + 5 - 5)*(3 - 1 + 0)).\nAnswer: -7*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 19*y - 18. Calculate j(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 5*c + 128. Let b(r) = r - 19. Calculate -2*b(z) - x(z).\nAnswer: -z**2 - 7*z - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16652.\nAnswer: 2, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*x**5 - 2*x - 2*x**2 + 3*x**2 + 1 - 2*x + 105*x + 21*x wrt x?\nAnswer: -1640*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 6. What is q rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.1 (b) -1 (c) 9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014 (base 14) in base 15?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/91524 and 47\/60.\nAnswer: 457620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u - 64. Let y = 1502.923 + -1502. Let t = y + -5.923. What is the closest to 0 in u, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (258\/86)\/((198*(-3)\/(-48))\/((-6)\/4)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 8495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/7323 and 139\/24.\nAnswer: 58584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j + 26*j + 23*j - 41*j.\nAnswer: 43*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*x - 2767000 = 0, -136*a + 131*a - 13835000 = -4*x. Round a to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-65) + 4045\/325)*1 + -11\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 129*d - 3471. What is i(27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 574032.2 litres to millilitres.\nAnswer: 574032200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/428 and -133\/642.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 211122110?\nAnswer: -211121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 - 5. Let k be ((-6)\/4)\/(5 + (-212)\/40). Let v(f) = -11*f**2 + 8. Let g = -16 + 24. Calculate g*d(q) + k*v(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1660 + -1579. Suppose 0 = -2*n - 3*p + 19, -n + p + 2*p + 23 = 0. Let f = 23 - n. Calculate the greatest common divisor of f and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 22. Suppose 5*a + 4*j = 28, 4*j = o*a + 3*j - 10. Let -5*p**2 - p + 0 + 5*p**a - 21\/4*p**3 + 25\/4*p**5 = 0. What is p?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 8) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120122221 (base 3) in base 7?\nAnswer: 301030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/5 - 3482*s**4\/5 = 0. Calculate s.\nAnswer: 0, 1741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9 + 41 = 0. Let d = -5 - -7. Suppose 3*j + 5*c + 5 = 0, 0*j - 2*c + 2 = d*j. Solve -j*a + 10 = -w*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9003 + -9003.1. What is the closest to 0 in p, 9761, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1, 0.1, 5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 + 5*x**3\/3 + 2*x**2 + 5*x - 5. Let w be j(-4). Solve w*i + 11 - 26 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1758 and 2051?\nAnswer: 12306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14945156449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**5\/20 + 19*g**4\/12 - 37*g**3\/6 + 27*g**2 - 3*g + 32. Calculate f(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*f - 31 = 0, -13 = -5*k - 2*k + 2*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 68, 199, 400, 677, 1036, 1483, 2024?\nAnswer: 2665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3944563\/7516638 - -4\/46399. Find the common denominator of f and -28\/15.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270*-53.07\nAnswer: 14328.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162)*1 + 4)*6.\nAnswer: 24 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14002, 56051, 126144, 224281, 350462, 504687, 686956?\nAnswer: 897269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**4 - 188768*f**3*q**2 + f**2*q**2 + 3243*f**2 + 1050*q**2 + 1 wrt f?\nAnswer: 72*f - 1132608*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1310*q**4 + 19*q + 25.\nAnswer: 15720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*b + 559*b + 567*b - 2283*b + 608*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 8*y + 13. Let c be m(-6). Is 7 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a - 3. Give f(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 - 9828*a - 19640 = 0 for a.\nAnswer: -2455, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 1. Suppose 3*w + w = 0. Let v be x(w). Let h = -39 + 49. Put h, 3, v in descending order.\nAnswer: h, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*(-3)\/(-28)*(-20)\/(-15)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 63*l + 337. Give b(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**6\/45 + 56*v**3\/3 - 193*v. Let o(t) be the second derivative of y(t). Let q(p) = -25*p**2. Calculate o(q(c)).\nAnswer: -5000*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {t: 1, q: 1, b: 1, x: 1, o: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 270\/(-2025) - (3\/6 + 2\/(-15))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119529 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 288*w - 3023. Determine k(-84).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -i - 3265, -2*g - 4*i - 606 = -3856. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/(-25)*(-20)\/6. Let w be ((-1)\/18)\/(q\/32). Which is the second smallest value? (a) -1 (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 5 + 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*k = 1 + 19, 25 = 5*k. What is the least common multiple of ((-18)\/15)\/((-7)\/105) and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = -3*b. Let m(w) = -w**3 - 2*w**2 + 3*w + 6. Let d be m(b). Suppose -26 - d = -4*z. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*h + 565 = 586 + 3849 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -180, -387, -610, -855?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -3*o + 5*u, -1 = -11*u + 10*u. Calculate the highest common divisor of o and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6200)\/(-203360)*(9\/15 + 1)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by -167.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041252 to the power of 1\/2, to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*x - 2 - 43, 5 = 4*u - 5*x. Let q be (-2 - -1)*(-3)\/(-1). Which is the third biggest value? (a) q (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16793680 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-846)\/(-987)*((-1)\/1 + 1324) is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-203)\/(-42) - 2\/(-12). Let p(a) = 5 - 10 + 7*a + t. Let v(f) = -f**2. Give p(v(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*r - 3 + 35, 3*r - 11 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 0, -6, -14, -24, -36, -50?\n\"Answer: -q**2 - q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from svsssqsasasvassq?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 4*v + 5*n, -4*v = v - 2*n - 600. Let j be (-30)\/(-20)*16*2. Calculate the highest common factor of v and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 2168*h**2 + 58469*h\/3 + 30310.\nAnswer: (h + 2)*(h + 7)*(h + 6495)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:15 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 6, n: 1, q: 4, o: 8}. Give prob of picking 1 n and 1 o.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1585 and 1785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 3*f**2 + 2*f**2)*(f - f - f) + (2 - 2 - f**2)*(-4*f + f + 2*f) + 16*f**3 - 8*f**3 - 15*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51776*d**2*v**4 + 1189*d**2*v + 4*d*v wrt v.\nAnswer: -621312*d**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6*w = w + 60, 4*d - 5*w = 12. Let n(k) = 172*k**3 + 4*k**2 - 1. Let r be n(-1). Let t = -101 - r. What is the smallest common multiple of d and t?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 5*v**2 + 9*v + 7. Let f be p(-6). Suppose -8*j + 4*j = -480. Let m = j + f. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865*d**3 - 278*d**3 - d + d - 275*d**3 - 306*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 74*x**2 + 4*x + 155. What is k(-37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2912628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/9, 640\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -26*h + 6. Let z(s) = s - 1. Let r(l) = b(l) + 4*z(l). Let u be r(-2). Suppose -3*a + 68 = -u. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*w + 24, -3*s + 24 + 16 = w. Calculate the least common multiple of s and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2578564 and 10314256.\nAnswer: 10314256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.75 + 3. Let h = -0.05 - u. What is the closest to h in -3, -2\/9, -3\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 3\/4, 3, -4, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21483550019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*p**2*u - 95*p**2 + 220*u - 813 wrt p.\nAnswer: 162*p*u - 190*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58357\/10 - -5830. What is the common denominator of z and 5\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2 + l - 1. Let p(v) = -v - 8. Let b be p(-9). Calculate m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*q = -106*q - 734 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 3056703.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6293*c - 6606. Let s(l) = 31457*l + 33030. Let f(a) = -14*b(a) - 3*s(a). Differentiate f(n) with respect to n.\nAnswer: -6269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 378*m + 2 + 473*m)*(-7*m + 3*m + 2*m) as x + p*m + j*m**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 551.7391 weeks?\nAnswer: 333691807680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, s: 4, r: 2, w: 1}. Give prob of sequence rr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 21*i\/4 + 10947\/2.\nAnswer: -3*(i - 82)*(i + 89)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59689, 119385, 179085, 238789, 298497, 358209, 417925?\nAnswer: 477645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -773\/6 - -1141\/9. Calculate the common denominator of -41\/24 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2166*j + 8670. Determine k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khkk when four letters picked without replacement from okhkkkkoy?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 127?\nAnswer: 3\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -797\/175660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.98*-5779.\nAnswer: -236823.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53780 and 3140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 36 = 4*f - 2*f, 27 = -2*j - 5*f. Suppose m - 4*m = -36. Let q = j + m. What is the lowest common multiple of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*i - 2*l + 20, 2*i - 26 = -4*l. Calculate the remainder when 51 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 102.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 94, 120, 144?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/11, -163, -1\/6, -0.005, -1\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(6\/4) - 16. Is ((-20)\/m)\/((-1)\/(-7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19125.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 167, 5, -15 in increasing order.\nAnswer: -15, -3, 5, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7887961*g**4 + 14393*g - 19.\nAnswer: -94655532*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16775498?\nAnswer: 2, 17, 493397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 301 - 4*l - 269 + 79.\nAnswer: -4*l - 551","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3804*m**3 + 13200*m**2 - 285142244*m wrt m?\nAnswer: -22824*m + 26400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115465 or 2886638\/25?\nAnswer: 2886638\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 133183.657 to the nearest 10.\nAnswer: 133180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppxppxppxxxpppppp. Give prob of sequence ppxp.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 1, x: 2, v: 1, f: 2}. What is prob of sequence xi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 44\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*s - 124, -2*s = w - s - 27. Suppose 0 = -3*h + 4*x + w, -3*x = 5*h - 5*x - 53. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/6, -11, 8.1 in descending order.\nAnswer: 8.1, 4, -1\/6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = 0, -40 = -4*d - n. Let o(u) = u - 5. Let i be o(d). Solve -3*p - 6 = 2*z, 2*p - 12 - 3 = i*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 + 431. Suppose -h = -4*h + 6. Calculate the lowest common multiple of 8 - (h + -3)*4 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -29*k**2 + 56*k - 7. What is x(7)?\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/30*-6)\/(8\/(-50)) - (-112959)\/(-10758)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003164938 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 9*b + 12 = -3*r, 5*b + r = 44. Let i = 0 - -4. Solve w - 2*w - 2 = h, -i*h - w - b = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3 + 178*g**2 - 181*g - 358 = 0.\nAnswer: -179, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**3\/3 + 3*d**2 - 5*d - 5. Calculate r(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2038*d + 1365421. Give q(670).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f + 60. What is the remainder when 57 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 3*n + 42. Let v be m(8). Suppose -7 = -v*u - 1. Let w be u + ((-20)\/4 - -8). Solve 0 = -r + w*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t + 11. Let h be (3 + 43\/(-15))\/(1\/t). Put h, -3, 0.2, 0.5 in descending order.\nAnswer: 0.5, 0.2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 2, j: 6, e: 2}. Give prob of picking 1 j and 1 b.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z + 1. Let i(c) = -c. Suppose -b + 4*h = 3*b - 12, h + 4 = 0. Calculate b*o(x) - 5*i(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39733 divided by -6?\nAnswer: 39733\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 18*v - 15. Let w be s(-7). Let a = -431\/3 - w. Which is greater: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -x - 0*x - 23, 2*x = -3*n - 21. Sort 5, -14, n, -3.\nAnswer: -14, n, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-8))\/((-1)\/(-4)). Suppose 4*o - 1 = 3*o - 2*b, 8 = -4*b. Solve -o*u - 26 = 2*k, -3*k + t = -0*k - 3*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Let i = 4.01 - m. Let g = i + -0.010016. Round g to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40830827, 163323318, 367477469, 653293280, 1020770751?\nAnswer: 1469909882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*o**4 - 37*c*o**3 - 12*c*o**2 - 4346*c - 21*o**4 - 3*o**3 wrt o.\nAnswer: -72*c*o - 222*c - 504*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4132, 4134, 4136, 4138?\nAnswer: 4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6660508?\nAnswer: 2, 439, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 3*w**3 - 8*w**2 + 9*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 4*y + y)*(10 - 7 - 42)*(0 + 3 + 4*y - 9*y) to j*y + v + t*y**2 and give t.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*f + 11*b - 57, -4*b = f + 19 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 262380554 and 12.\nAnswer: 1574283324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14663*c + 90. Let t be k(-30). What is t rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49336 is divided by 287?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -506.13 + 506. Sort 0, q, -2, -17 in descending order.\nAnswer: 0, q, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 22452*u**3 + 22455*u**2.\nAnswer: -3*u**2*(u - 1)*(u + 7485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t**2. Let i(y) = 12893233*y**2. Determine i(g(z)).\nAnswer: 2178956377*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1721340, 3442682, 5164032, 6885390?\n\"Answer: 4*l**2 + 1721330*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 8895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3666765434 to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -410*i - 11. Let a(q) = 206*q + 5. What is 13*a(w) + 6*g(w)?\nAnswer: 218*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:15 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -3*h + s + 135, 0 = -3*h + 4*s + 162. Suppose -3*w = -15 + 27. What are the prime factors of (16\/(-4))\/(w\/h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 1, k: 7, y: 2, u: 2, g: 2}. What is prob of picking 3 k and 1 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + 182. Let h = -299 + o. Put -0.4, h, -2\/29 in ascending order.\nAnswer: h, -0.4, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okws when four letters picked without replacement from {w: 3, s: 1, o: 2, k: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24543 divided by 950?\nAnswer: 24543\/950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -622 + 1.9?\nAnswer: -620.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.181 - 0.081. Suppose 2*t + 10 = -10. Let c be (2\/25)\/((-2)\/t). What is the closest to 2\/3 in -5, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1267 by -559.\nAnswer: -1267\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*f + 2*f - 11, 2*f = -10. Let m = l + -6. What is the highest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749504?\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*r + 630*r = -a - 13, r = 5*a + 71 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 10) to base 4\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1897, 3783, 5669, 7555, 9441?\n\"Answer: 1886*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4947706 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*((-24)\/(-4))\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 988794673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2200 = -8*i + 3*i. Suppose -5*h = 100 - i. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from favvvfk. Give prob of sequence kff.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24205, 24201, 24195, 24187?\nAnswer: 24177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + b + 3*b)*(3 - 3 + 2) + b - 21*b + 9*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -124, -34, -2, -10, -4 in decreasing order.\nAnswer: 3, -2, -4, -10, -34, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j + j)*(-3 + 3 - j) + 2*j + 1 + 3 - 4*j**2 - 2.\nAnswer: -5*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = 3*k + 27, -k = 4*n + 12. Let i = 1159\/14 - 471\/7. Calculate the common denominator of (-147)\/(-8)*(-2)\/k and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/5 + 56*w\/5 + 11 = 0?\nAnswer: -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208 - 700 = 9*v. Let d = v - -713. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 33. Suppose 5*s - 73 = -2*k, 3*s + 5*k = j*k + 51. Solve 4*y - s + 5 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28490 by 2.\nAnswer: -14245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*v**3 - 2*v**3 - 4*v**3)*(-1 - 1 - 8) to a*v**2 + t*v + y*v**3 + i and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r - 3*a = -28*r + 29895, a = -5*r + 37364. Calculate the highest common divisor of 141 and r.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12448 divided by -389?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 29*t - 15336 = 27*t, -5*x = 4*t - 25564. What is the remainder when x is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1120922\/(-33) - 10\/15. Round i to the nearest 100.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/130, 4, -290\/11, -1\/8, -1\/5, -3\/32?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*l**2)*(-38 + 16*l**2 + 38 + (4 - 2 + 0)*(-l**2 + 2 - 2)).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -35097 divided by 11699\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3\/3 - 17960*a**2\/9 + 7988*a\/3 - 5992\/9 = 0. Calculate a.\nAnswer: -1498, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -379 + 123. Let a = -242 - i. Solve a*x = 12*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 8. Let r(q) = -q**o - 2 + q**3 + 0*q**2 + 3*q + q. Let v be r(3). What is the greatest common factor of 42 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 + 1798*h + 1799. Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 707450437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**1\/i*i)**(-20\/7))**(13\/6)\/((i**13*i*i)\/(i*((i\/((i**(-9)\/i)\/i))\/i)\/i))**(-5\/7) assuming i is positive.\nAnswer: i**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 141 (b) -3 (c) 4736\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/7 + -1 + (-12980)\/(-35). Let r = v - -92. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/300)\/(-2))\/(2\/5)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 62361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153923, 153952, 153987, 154016, 154027, 154008?\nAnswer: 153947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let x = 1 - 2. Let i = 0.6 + x. What is the nearest to 2\/3 in n, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 135205 = 128050. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - -1 - (-1 - -6). Let d be 4\/(-6)*3 - z. Let a(i) = 12*i**2 - 1. Give a(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5 = -3*j + 5*q, -2*j = 5*q + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236956729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*s**4 - 247*s**4 + 0 + 123*s**4 + 9*s - 39 as t + g*s + d*s**4 + v*s**2 + q*s**3 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 19*y**2 - 17*y + 18. Let v be t(-18). Suppose 10*s + 0*s = v. Suppose 6*x = x + b + 577, x - b - 117 = s. List the prime factors of x.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 0, -4 in decreasing order.\nAnswer: 2, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, v: 7}. Give prob of sequence vfvf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 112 and 107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451198 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + t. Let g be -10 + 2*-1 - 1. Let v = 18 + g. Suppose -v*a = -3*a - 2*n, -n + 3 = -4*a. What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*i + 30 = -28, 0 = 33*z - 28*z - i + 34 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l**2)*(0*l + l + 1 + 0).\nAnswer: 2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -352 - -348. Is a smaller than 83\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*d + 12. Let m(q) = 12*q**2 + 15*q + 6. Let o(j) = -4*j**2 - 5*j - 2. Let l(i) = -2*m(i) - 7*o(i). Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 3*p**3)*(458 - 302 + 355).\nAnswer: -1533*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -890 rounded to the nearest 10?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.12 and -2.811.\nAnswer: -2.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2677*p + 3 + 10451*p - 5.\nAnswer: 13128*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -1.076?\nAnswer: -3.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 23.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by -557711.\nAnswer: 183\/557711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3269 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -249497\/2170 - -55\/1302. Which is bigger: -114 or p?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((3 - (-150)\/(-42)) + (-2442)\/14)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 560, 1610, 3566, 6710, 11324, 17690, 26090?\nAnswer: 36806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(-8)*(-42)\/7.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 7*u + 17. Let y = -71 - -76. Let n be o(y). Factor -2*j**4 + 4*j**3 + 10*j + 8 - 14*j**3 + 0*j**3 - 6*j**n + 0*j**3.\nAnswer: -2*(j - 1)*(j + 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.83 * 1626.84\nAnswer: -1350.2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(-3*sqrt(7)*-1)**2.\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1609.04231 - 5.\nAnswer: -1614.04231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-20) - ((-56)\/20 + 3). Let r = -33 - -265\/8. Which is the second biggest value? (a) u (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/16))**(-2\/127) assuming l is positive.\nAnswer: l**(3\/1016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -131436, -525763, -1182982, -2103093, -3286096?\n\"Answer: -131446*h**2 + 11*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 22935*q.\nAnswer: 3*q*(q - 7645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2137 = 6*k + 613. What are the prime factors of k?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/520 + ((-213)\/72 - 0 - -3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6451214 is divided by 1290240?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*(n\/((n\/(n\/(n*n**9)))\/n)*n*n)\/n*n*n)\/n)\/n)\/n**(-8)*(n\/(n**(-1\/2)\/n)*n)**(-1\/5) assuming n is positive.\nAnswer: n**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 + 4*x + 4. Let q(a) = a**3 - 4*a**2 - 10*a + 20. Let m be q(5). Let p be i(m). Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -35 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 56 - 0 - (1999 + -1968)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: cb60 (base 16) to base 10\nAnswer: 52064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7587041967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 2*2*(-8)\/16. Suppose -35*j - 60 = -30*j + a*t, 47 = -2*j + 3*t. Sort j, 4, 7, 1\/4 in descending order.\nAnswer: 7, 4, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - t**3 - 52 - 3*t + 0*t**3 - t**2 to s*t**3 + m + a*t + q*t**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 20034*x - 33446763 = 0. What is x?\nAnswer: -3339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3 - 2 - o + 11. Let k be 18\/8*160\/(-60). What is the remainder when 71 is divided by u(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n + 2*n**2 - 64*n + 2*n + 23*n.\nAnswer: 2*n*(n - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2\/17 + 46*v\/17 + 348\/17 = 0.\nAnswer: -6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, q: 9, r: 1, m: 1}. What is prob of picking 1 r and 2 s?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161262728?\nAnswer: 2, 11, 19, 43, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 6*q**2 + 5*q + 2. Suppose 0 = -6*z + z + 15. Suppose 7*c = z*c + 2*r - 24, -3*c - 5*r - 5 = 0. What is y(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.7911 to the nearest integer.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*p - 1019*p - 27739 = 26690 + 25068 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (713\/15594)\/((-4)\/6) and -16.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10829523\/19 - 569789. Let x = k + -186. Let j = 9 + -5. What is the closest to 1 in j, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -31 - 41. Suppose 2*h + 4*h - p - 23 = 0, -p + 4 = 3*h. Sort r, 4, 1, h.\nAnswer: 1, h, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-182)\/26 - (-36)\/5. What is the closest to 26 in -2\/21, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by (-90)\/(-3) - (5 - 4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62229921?\nAnswer: 3, 13, 19, 137, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 + 33 - 13 + 3*m**3 - 3*m**5 + (m**5 + m**5 - 3*m**5)*(-5 + 3 + 1).\nAnswer: 2*m**5 + 3*m**3 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32356, 32357, 32356, 32353, 32348, 32341?\n\"Answer: -j**2 + 4*j + 32353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 91. Let i = q - 6. Suppose 3 + i = 9*c. Solve -2*j - 12 = 3*r - 2, 4*r - 15 = c*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 - b4897?\nAnswer: -b4908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3 and -0.1316.\nAnswer: -1.4316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83214 and 6831.\nAnswer: 915354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*f**3 + 132*f**2 + 504*f + 432.\nAnswer: 2*(f + 6)**2*(5*f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u - i, 39*u - 40*u + 5*i - 5 = 0. Solve 2*c + 6 = -u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/1617 - (132\/18 + -7) and 10\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 476 and 70.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 30749586.\nAnswer: 122998344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 5*k)*(0*k**3 + 2*k**3 + k**3) - k**4 + k**4 - 4*k**4.\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282107421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 20 - 132 + 26 + 3*q + 76 + 25.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + z - 51 = 0, -r + 2*z = -3 - 10. Suppose 5*w - 19 = 201. What is the remainder when w is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 17 + -101 - -23. Which is the nearest to -0.1? (a) 11\/8 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23118 and 5.\nAnswer: -115590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(10)\/sqrt(2) + 1 + sqrt(720) + 1 + sqrt(720))**2.\nAnswer: -3129 - 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936, 3736, 8404, 14940, 23344, 33616, 45756?\nAnswer: 59764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4*-1*1)\/1. Let r(d) = d**3 + 5*d**2 + d - 15. Let z be r(-4). Sort z, 3, m.\nAnswer: z, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/8? (a) 1\/4 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.2 and 4758.27.\nAnswer: 19984.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3\/(-2))*(-144)\/32. Suppose r + m = 8. Solve 14 = -4*x - z - 3, -4*x = 5*z + r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0 + 19\/24*o**4 - 22*o**2 + 1\/42*o**7 + 0*o + 0*o**3 + 0*o**6 + 0*o**5. What is the second derivative of n(c) wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1267 or 4.7?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*b + 8 = 0, -14 = -4*c + 71*b - 69*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b + a - 49, -4*a = -4. Suppose -d = -3*d + 2*k + b, -52 = -4*d + 5*k. Solve 2*t = -2 - d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -215, -0.3, 1\/2?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**7\/1050 - 11*f**6\/600 + f**5\/30 - 46*f**2. Find j, given that l(j) = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38284 - 10854 = 1055*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -80 and -3940.\nAnswer: -4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136836232?\nAnswer: 2, 13, 31, 42443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 o when three letters picked without replacement from wowow.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4571578 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 31 = -t - t, -t = c + 17. Let o = 26 + t. Calculate the least common multiple of 22 and -1 - o\/((-24)\/28).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 8 (c) 0.06 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 24*k - 15. Let y be b(20). Let j = y + -126. Let w = -21 - j. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(1 + (-6969)\/(-3486) + -19 + 16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmyegigmgigm. Give prob of picking 1 y and 1 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70)\/(-9) - 24\/(-108). Suppose -4*f + 8*f = -w. Let h be 10\/(-1)*f\/(-4). Sort 2, h, -0.5 in ascending order.\nAnswer: h, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - 10\/(-3). Let z = -23.89 - -24. Let k = -0.21 + z. Put k, g, 1\/2 in decreasing order.\nAnswer: g, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -18)*(-2)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 + 3 = r, -4*r - 4*d = -32. What is the least common multiple of 4 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 3.96. Let x = 0.5 + -1. Let p = -0.5 - x. Which is the second biggest value? (a) s (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.11759403 rounded to three decimal places?\nAnswer: -3.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p = -64*p - 60. Is (-3)\/(-2)*((-6056)\/p + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1014010132?\nAnswer: -1014010142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12954662.\nAnswer: 2, 7, 37, 89, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let o(l) = -4*l - 1. Let i(a) = 2*o(a) + 9*t(a). Let c be i(-6). Let k = c + 14. 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: Simplify (6*(6*((sqrt(1573) - (-2 + sqrt(1573)))*2 + -1) + 4*(-2 + sqrt(1573) + 4)*6))**2.\nAnswer: 1254528*sqrt(13) + 32774544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52914381 and 312?\nAnswer: 423315048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 697669.8 millilitres in litres?\nAnswer: 697.6698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -252 + 251.465. Let n = o - -83.515. Let a = n + -84. What is a rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 1:06 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*y - 3*y, y + 19 = 2*v. Differentiate -4*w + 1 - 5 - v wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505090600 and 560.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21007 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 7*j)*(-6*j**2 + 0*j**2 + 4*j**2) + j**3 - j**3 - j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 1317 + 104. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12987 or 12983?\nAnswer: 12983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/3 - (-4 - (-30)\/9). Solve q*a - 16 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2439694 and -6.\nAnswer: -2439700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(432)*-1)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55690, 56155, 56620?\n\"Answer: 465*l + 55225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 - (35 + -21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = j - 4*g, -j + 530 = -g + 535 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 928321.557 rounded to the nearest ten?\nAnswer: 928320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-6))\/(6\/(-72)). What is the highest common divisor of 40 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 2*w - 11. Let h(y) = 2*y**2 - 4*y - 10. Let j(i) = 4*h(i) - 3*z(i). Calculate j(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.94 + 2.06. Which is the nearest to 2\/7? (a) x (b) 0.21 (c) -2 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55472.1 to the nearest one hundred.\nAnswer: 55500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75 - (11 - 9 - -3). Solve 8*p = 22*p - t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/3 + 8*d\/3 = 0. Calculate d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(2\/17)*(l**(-4)*l)\/((l**2*l)\/l))\/((l**(5\/4)*l**(-4\/7))\/((l\/(l*((l*l**4\/l*l)\/l*l)\/l))\/(l**5\/l))) assuming l is positive.\nAnswer: l**(-383\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 1, g: 1, z: 7, c: 4}. What is prob of picking 1 h, 1 z, and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (7 - 9 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from syaaysbss.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*2282\nAnswer: -6846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22211020120 (base 3) to base 15.\nAnswer: -366d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23366 (base 8) in base 6?\nAnswer: 114102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 135 = -35*a + 563. What is the nearest to 1 in a, -16, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, -5.95, -15, 0.4, 0.1 in descending order.\nAnswer: 0.4, 0.25, 0.1, -5.95, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 3. Let z be l(-8). Suppose 5*k - 11*k = 0. Suppose k = 10*x - z*x - 4595. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13921 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3*(54\/8)\/(13909\/79480)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13*c - 10 - 1 - 121*c. Let m be y(-5). Suppose 5*n - m - 791 = 5*z, -z - 1454 = -5*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1671 and 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138769 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 56, -1, 3.\nAnswer: -1, 3, 56, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7801 + 19950. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 776 and 8.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-6 + 7) - -2. Let z(q) = q**2. Let i(l) = -l**2. Give r*z(k) - 8*i(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3428*w + 6872. Determine k(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 10*v + 4. Let s be t(10). Let w be (-11)\/(-10) + ((-204)\/24)\/17. Sort -2\/13, w, s in descending order.\nAnswer: s, w, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15534.\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.263053 rounded to one dp?\nAnswer: 344.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 = -5*d, -m + 0*m + 3*d + 17 = 0. Suppose -m - 10 = -x. 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: Which is smaller: 2\/7 or -216.065857?\nAnswer: -216.065857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -41, 501, -4, 523 in descending order.\nAnswer: 523, 501, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 25. Suppose -4*g + 3*b - 7 = 1, -4*g + 20 = 4*b. Let m(l) = 49*l**2 - 3*l + 2. Let r be m(g). What is the highest common factor of d and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 779\/95 + -148 + 138\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**3 + n**2 - 10. Let x be 2*(3 - 4) + 1. Let o(k) = k**2 - 1. Let h(t) = x*o(t) + g(t). Differentiate h(v) with respect to v.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1623 + -1620. Let z = -4.94 - 0.06. Sort z, -1, 2, t.\nAnswer: z, -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from likvvseissvkkev?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -390*x - 599. Let h(i) = 782*i + 1199. Let v(j) = 5*f(j) + 2*h(j). Differentiate v(s) with respect to s.\nAnswer: -386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.4, 3\/7, -4, -8 in ascending order.\nAnswer: -8, -4, 3\/7, 13.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/5*-5 - 3. Let n = 0 + i. Calculate the remainder when 12 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11226464*q**2 + 11226464*q**2 - 1534*q**3.\nAnswer: -1534*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 7, v: 2, p: 2, c: 1, f: 4}. Give prob of picking 2 f.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**2 + 13*x + 34. Let i be n(-4). Is (i\/((-75)\/12))\/((-3)\/120) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 2.4041?\nAnswer: -7.4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2 + 3 - 3*d - d - 2. Let s(b) = -17*b - 5. Determine -9*l(c) + 2*s(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -16) + (-29 - (42 + -34)))\/10.\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzmmb. Give prob of sequence bbmz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + 4 + sqrt(847) + (sqrt(847) - (2 + sqrt(847))) + sqrt(56)\/(sqrt(72)*2).\nAnswer: 2 + 133*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*m - 5*q, -7 = -6*m + 9*m + 4*q. Which is bigger: -62\/7 or m?\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8469 - 0.5?\nAnswer: -7.3469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527064597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(2299) - (-5 + sqrt(2299) + -2))**2 + -4) + 1.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - 106. What is the third biggest value in 4\/7, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**3 - a**2 - 3*a - 3. Let x be c(-1). What is the least common multiple of (x\/9 - -1)*-6*-6 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 656443274 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*(5*sqrt(76)*-2 - sqrt(76)))\/((5*(sqrt(24) + sqrt(216)\/sqrt(9) + sqrt(24)))\/sqrt(6)*5))**2.\nAnswer: 147136\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30579, 2, 0, -2, -35 in descending order.\nAnswer: 2, 0, -2, -35, -30579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -70. Let s = 89.8 - 90. What is the second biggest value in 10\/3, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620219.2 rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 i, and 1 y when four letters picked without replacement from {y: 3, i: 4, l: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + r + 9*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -188\/3 + 43\/3*x + 1\/3*x**2 = 0.\nAnswer: -47, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from {b: 2, d: 2, l: 5, c: 8}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/60 + n**4\/24 - n**3 - 31*n**2. Let f be r(-5). Let k be (-2)\/(-7) - (-3 + 46\/f). Solve -6*j + j + 25 = k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188.99999923 + 189. Round d to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -54*r - 85. Let x(t) = 5*t**2. What is x(c(v))?\nAnswer: 14580*v**2 + 45900*v + 36125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592 and 210256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 62. Suppose -6*x = -2*x + 4*j + 20, -5*x + k*j = 25. Put x, -7, 4 in ascending order.\nAnswer: -7, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -710 - -996. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -205, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000437884 rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11592 divided by 72\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91, 196, 301, 406?\n\"Answer: 105*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:45 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 8 = -5*l. Let p(g) = 1 - 12*g + g + 0*g - 15. Calculate the remainder when p(l) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 4*s - 3. Let w be u(-5). Solve -4*a - 6 - 24 = -w*k, 2*a + 2*k = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8983959?\nAnswer: 3, 79, 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13092*v - 13089*v + 9 = 0. Put 0.024, 2\/9, v, -1\/10 in descending order.\nAnswer: 2\/9, 0.024, -1\/10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -48. Calculate the remainder when g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2299*d - 60825 = 150*d - 19010 + 72082 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*a = 2134*a + 1343*a + 5417*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 39 = 8*c. Suppose -3*o = 2*o. Let q(m) = m + 10. What is the remainder when c is divided by q(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -34.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 2*f**3 + 0*f**3)*(48 - 48 + 12*f).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 748*p - 602. Calculate the remainder when d(2) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6171, -12371, -18571, -24771, -30971, -37171?\nAnswer: -43371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2003, -4021, -6039?\n\"Answer: -2018*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1291361 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 140522.7 years in millennia?\nAnswer: 140.5227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2306?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126800066 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2*w**2 + 3*w**2 - 389*w**3 + 392*w**3 to r + s*w + h*w**3 + y*w**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-18))\/(22\/6765) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19668 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -0.9 (b) 0 (c) 0.02 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4 + 5 + 5*m**2 - 6*m**2 + 4*m. Suppose -4*x + 1 = -3*x - 2*j, 4*j = 5*x - 11. Calculate i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 1, u: 7, x: 2, e: 3, a: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a + 644 - 506 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 x, and 1 u when four letters picked without replacement from {h: 7, u: 6, x: 2}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + p = -2*x - 781, 0 = 3*x + 4*p - 464. Suppose x = 4*n + 28. Let u = n - 19. Calculate the remainder when 49 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -h + 10, 0 = -x - 0*h - 3*h + 20. Suppose -5*d + 3*a + 28 = 0, x*d - a = -3*a + 23. Solve 0 = d*f - 5*w + 5, 5*f = -w - 4*w - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**5\/20 - b**4\/4 + b**3\/2 + 3*b**2\/2 + b. Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**4 + 4*g**3 - 4*g**2 - 8*g + 8. Let n(u) = 7*u**4 - 5*u**3 + 3*u**2 + 8*u - 7. Let l(q) = -3*j(q) - 4*n(q). Factor l(c).\nAnswer: -4*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-3)\/(-6)). Let c be (s - (-4)\/6)*3. Let k(i) = -5 + c - 4*i + 3 - 5 + i**2. Determine k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3633*t**3 + 4*t + 2235 - 7297*t**3 - 2235 + 3659*t**3.\nAnswer: -5*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -11. Suppose l*x = 4*x - 24. Calculate the lowest common multiple of 8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-48)\/45)\/(-8)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + s + 13 = -s, -s = -3*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:43 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -5*x - 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**5 - 5*s**4 + 4*s**3 - 3*s**2 + 3*s - 3. Let k(o) = 3*o**5 - 10*o**4 + 7*o**3 - 5*o**2 + 5*o - 5. Let d(u) = -5*f(u) + 3*k(u). Factor d(b).\nAnswer: b**3*(b - 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45323 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 - 1. Let p be f(-2). Suppose -4*y = w + p, 3*w = 2*w + 4*y + 21. Suppose 9*i = w*i + 60. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {y: 5, x: 3, h: 3, g: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 528*d - 724. Let q(k) = -264*k + 363. Let v(m) = -3*f(m) - 7*q(m). Find the first derivative of v(s) wrt s.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/(1\/3). Solve 0 = -h*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s**(-8)*s)\/s)))\/s**(-4\/7))\/(s**(-2))**(-29) assuming s is positive.\nAnswer: s**(-458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247785\/4 + -61136. Let u = 817 - m. Determine s, given that -u*s - 15\/8*s**2 + 3 = 0.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 160482200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -105. Let z = h + 15. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20650994123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 2) + -1 - (2 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 691950.42282 + -691942. Let z = c - 8.41. Round z to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgyl when four letters picked without replacement from {l: 2, y: 4, a: 1, z: 4, g: 6}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2 + -3)**2 + -4 + 5*(-1 + (1*sqrt(34))\/sqrt(2)).\nAnswer: 65*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1704 + -2?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107950 and 10630916.\nAnswer: 4318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76344875, 152689736, 229034597, 305379458, 381724319?\n\"Answer: 76344861*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27681, 27682, 27683, 27684?\n\"Answer: u + 27680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -41. Let c = -52559926.9999972 - -52559912. Let h = m - c. What is h rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13831667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 70. Suppose -h + 36 = 5*j, 4*j - h - l = h. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 + -2.3. Which is the third biggest value? (a) 5 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5b48 (base 15) to base 14.\nAnswer: -d97da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 407, 1504, 3629, 7124, 12331, 19592?\nAnswer: 29249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 - (10 + -8) - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122 + 22100?\nAnswer: 121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.058 * -0.27\nAnswer: -0.01566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t + 45 = -52*t. Let o(m) = -104*m + 1. Suppose 5*q = -15, 6*x + 18 = 3*x - 5*q. Let z be o(x). What is the greatest common factor of t and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19317 and 270297?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.398 + 1.998. Which is the closest to 0.1? (a) v (b) -0.5 (c) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ada when three letters picked without replacement from adawdddwdydd.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 10208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 5, 2, 0.\nAnswer: 0, 2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27439 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 - 6 + 6.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 6964*n**4 + n**3 - 2*n - 6980*n**4 as i*n**3 + c*n**2 + v*n**4 + x + t*n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2\/15 (c) 3\/4 (d) -4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-36)\/(-16)*2)\/((-6)\/(-140)) and 80.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 2*o + 5. Let f be w(3). Solve 0 = -f*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let x(r) = 0 + 1 - 17*r + 16*r - 4. Let h(p) = -3*g(p) + x(p). Let z(j) = 2*j**2 + 17. What is z(h(d))?\nAnswer: 2*d**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.63+165269616695\nAnswer: 165269616694.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2. Let k(q) be the second derivative of 4*q**3 + 12*q**2 - 509*q. Calculate h(k(m)).\nAnswer: -1152*m**2 - 2304*m - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 503678 (base 10) to base 8\nAnswer: 1727576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(1 + 1 + -3). Let c = v + -1. Suppose 0 = s + g - c, 3*s - 2*g = 8. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050912 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-1 + 15\/20) - -5. Let r be ((-15)\/(-80))\/(9\/12). Let -1\/2*q + 1\/2*q**3 - r*q**4 + 0 + x*q**2 = 0. Calculate q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -2386?\nAnswer: -2393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1 + 8*j - 4*j**2 - 2 + 3*j**2. Let k be b(4). What is the units digit of 5\/k*1*39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*n - 22, -4*y + 5*n + 0*n = -34. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52337 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + 6 + 18 + 5 + -26.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 9755125\nAnswer: -3902050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2. Let c(y) be the second derivative of -14*y - 1\/6*y**4 + 0*y**3 + 0*y**2 + 0. Determine r(c(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b. Let f(w) be the third derivative of w**4\/6 - 199*w**2. Give d(f(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 69267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v + 25. Let q be h(-9). Calculate the remainder when 168 is divided by (-3)\/72*-6 - 1175\/q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0, -9\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24788983820.99987 - -24784119364. Let z = c + 4864489. Let p = 32 - z. Round p to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 300\/7 + 1\/7. Let q = c + -29. What is the smallest common multiple of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -141948917.\nAnswer: 1\/141948917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10689 - -10714. Solve 0 = -37*b + y*b - 84 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 + -1.2. Let d = 0.21 + 0.29. Let k = t + d. Round k to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 19*a - 214. Let d be o(-27). Factor -9\/2*k**2 - 11\/2*k**3 + d + 2*k + 1\/2*k**4 + 3\/2*k**5.\nAnswer: (k - 2)*(k + 1)**3*(3*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294993 is divided by 205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -30) + (-7 + 8 - 8) + 7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187615 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 985, 2791, 4609, 6445, 8305?\n\"Answer: c**3 + 1799*c - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1473\/11784*(-8)\/(-39)*36\/(-2)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 9. Let w(u) = -u**3 + 9*u**2 + 2*u - 11. Let s be w(9). What is the remainder when 59 is divided by v(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1301 + -0.139. Let l = k - -0.006. What is l rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -181*y + 383. Give d(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -373, -3042, -10329, -24556, -48045, -83118, -132097?\n\"Answer: -387*v**3 + 13*v**2 + v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 423 - 700 = -43*h, -322*p + 319*p + h - 29 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384833 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.167 + 0.057. Let u = a - -0.22. Let i = u + 0.1. Round i to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*q - 5*o + 3308, q - 3*o = 1659. Suppose -7*y - q = -14501. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (553 - 569) + (2 - 32) - 23.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 1106886, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20002221102 (base 3) in base 4?\nAnswer: -131112302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2129*y. Let w(j) = -j**2. What is w(h(k))?\nAnswer: -4532641*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19959*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 8:53 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32331?\nAnswer: 3, 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 2\/11, 0.4, 0, -1\/118401?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110) + (sqrt(110) - sqrt(110)*-2))))\/sqrt(10) - (sqrt(11) + sqrt(55)\/sqrt(5))*1))**2*3.\nAnswer: 29700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -561?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*u = 0, -h - 4 = -5*u + 2. Suppose 4*z - 10 - 6 = 0. Suppose -o - h*t + 10 = o, 0 = -z*o - t + 13. What is the remainder when 8 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 97*t**5\/20 - 17*t**4\/24 + 5*t**3\/2 + 7*t**2 - t. What are the prime factors of p(2)?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 30. Let i be (-1 - (0 + -3))\/m. Factor 12 + 3\/4*h**4 + 6*h**3 + 18*h**i + 24*h.\nAnswer: 3*(h + 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 14*m**2 + 430*m + 4692. Give t(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4522998 times -0.2?\nAnswer: 904599.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.02705376251 and -503.4.\nAnswer: -502.37294623749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -1\/6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4679971190 to the nearest integer?\nAnswer: 68410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*13\/(1001\/22).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9018169.5 rounded to the nearest one thousand?\nAnswer: 9018000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/79904 and -129\/34958?\nAnswer: 559328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/99)\/((-12)\/18)*3. What is the biggest value in y, 5, -0.4, -3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {p: 1, x: 1, d: 1, n: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Suppose 0 = p + 7 + 48. Let j be (p\/(-13))\/(-5) + 1. What is the closest to m in -1\/11, j, 0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.193 - -0.393. Put 5, y, -0.6 in descending order.\nAnswer: 5, y, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 56*a + 11. Let p be d(3). Suppose p*c = 175*c + 21436. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from wwwaxwwxewxmwaxwxaaw?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10 + 7 + 66\/(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36638*x**4 - 4236 wrt x.\nAnswer: 146552*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275953899.\nAnswer: 3, 13, 7075741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 12*h**4 - 16287*h**3 + 651543*h**2 - 161868*h = 0.\nAnswer: 0, 1\/4, 41, 1316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11729*n**2 - 4*n + 13. Suppose -l = -5*x - 47, 0 = 3*x - 5*l + 3*l + 31. Let u be g(x). What is u rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 264.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 2. Let l be t(-2). Is -74*((-2)\/4 + l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 33 = 2*f + 3*a, -5*a + 10 = 0. What is the remainder when 34 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 12949*i + 38838.\nAnswer: (i + 3)*(i + 12946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*170\/(-102)*(-6)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27213287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/3, 0, 1, 3\/202?\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289*c**3 + 9*c**2 - 9 wrt c?\nAnswer: 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = f + 55. What is f rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -5*n - 5*v - 24, -2*v + 8 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {i: 1, c: 1, y: 1, d: 1, m: 2, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*u + 12*u - 504 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -9, 4 in decreasing order.\nAnswer: 27, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/125 and 55\/6.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21201001022 (base 3) to base 6.\nAnswer: 3130055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.2, -5, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/5 - 30816*o**2\/5.\nAnswer: 4*o**2*(o - 7704)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 3*d**2 + 3*d - 3. Suppose 0 = -4*b - 5*v + 3, 4*v - 272 = -5*b - 275. Let s(t) = -t**2 - t. Determine b*s(x) - c(x).\nAnswer: 2*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + g + 3*g + 20 = 0, -5*g - 10933 = -3*l - 10904 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 35 = -3*w, -2*h = -2*w + 7*w - 37. Let l(o) = o**2 - 8*o + 6. What is the tens digit of l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1124906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*h**3 + h**3 + 35*h**3)*(0*h**2 + h**2 + h**2).\nAnswer: 152*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*t - 73 + 41 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.65 + -0.65. Let m = -58.03 + a. What is m rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2049.54, 1\/4, 0.1 in decreasing order.\nAnswer: 1\/4, 0.1, -2049.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**1\/a))**(-49)\/(a**(1\/5)*a\/(a*((a*a**(-1\/7)*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -66 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x + 2*f, 5*x + f = -0*x + 40. Let k be 30\/x*(-6)\/(-4). Find the common denominator of (((-645)\/6)\/k)\/7 and -83\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*m + 0*m = 2916, -3*m + 1461 = 2*p. Let b = p + -255. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Suppose q = 5*s - 4*s - 24. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 + 3*l - 3. Calculate the remainder when (-348)\/2*36\/(-39 + -33) is divided by i(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4*s - 2. Let h(o) = -o + 1. Let t(x) = 3*h(x) + y(x). Let v(b) = 3*b**2 - 7*b - 8. Let n(z) = 2*t(z) + v(z). Let w = -214 + 219. Give n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 at most as big as 2851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -8*l**5 - l**4\/4 + 25*l**2 - 76. Find the second derivative of y(u) wrt u.\nAnswer: -480*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o. Let h(y) be the second derivative of 23*y**5\/120 - 2*y**3\/3 - y**2 - 24*y. Let g(j) be the second derivative of h(j). Calculate c(g(x)).\nAnswer: -115*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*y - 18, 4*y - 4*f - 3 = 1. Suppose -3 = y*b - 39. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19251565 - -0.2?\nAnswer: -19251564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1910 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(864) - sqrt(864)*-1 - sqrt(24))\/(sqrt(32)\/sqrt(4) + sqrt(8)))\/(-2*((sqrt(864) - -1*sqrt(864) - sqrt(864)) + sqrt(864))*-6).\nAnswer: -5 + 11*sqrt(2)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*(-4)\/(-14)*435\/(-348).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 15. Suppose 2*j + 4*r - 8 = 5*j, 0 = 3*j + y*r - 37. What is the remainder when 23 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 201, 606, 1339, 2496, 4173, 6466?\nAnswer: 9471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 - 18*h**2 + 3*h. Let t(y) = -9*y**3 + 35*y**2 - 7*y. Calculate 7*s(f) + 3*t(f).\nAnswer: f**3 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 28*v. Let h(l) = 4*l + 111. What is x(h(i))?\nAnswer: 112*i + 3108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1344003140 + 2?\nAnswer: 1344003142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85929898 and -0.5.\nAnswer: -85929898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 3. Suppose 3*p - 5 = -2. Suppose -4*d = 7*d - 88. Sort 0, p, g, d in descending order.\nAnswer: d, g, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -6*p + 50. Suppose -b - r = -9, 0 = -b - p*r + 4*r + 7. Suppose -12*d = -b*d - 5. Solve -z + 23 = d*g + z, g - 11 = -2*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3649\/2 - -1867. Let d = -20 + 21. Find the common denominator of (6\/13)\/d*8 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70625.2 rounded to the nearest 100?\nAnswer: -70600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(0 - -1))\/((-1)\/148). What is g rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/24 and 9\/1832.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.4 (b) -5 (c) -0.35 (d) -7.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 45, 32, 55, 126, 257, 460?\n\"Answer: 2*v**3 - 51*v + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/5)*q*q**8*q*q**(-3)*q*q**7 assuming q is positive.\nAnswer: q**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7*504\/1296?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32890565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woooouoowouhouoh. What is prob of picking 1 o and 1 u?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(425))*5 + -1 + 1*sqrt(425)*-2*-4)*-1 + 2)**2.\nAnswer: -1040*sqrt(17) + 71889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 4*p + 2. Let y be z(-4). Suppose 2*g = 6*g - 8. Suppose -g*b - 2 + 0 = 0, y*o - b = 5. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = 182*r - 1286 - 11752 for r.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -5)*(-2 - 0). Suppose -k = -j + 102, -3*k - 108 = p*j - 3*j. Let m be ((-9)\/2)\/(3\/(-6)). Calculate the greatest common divisor of m and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1181 (base 10) to base 4\nAnswer: 102131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 - (8 - 18))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 16*o**2 - o. Let p(c) = 19*c**3 + 81*c**2 - 4*c. Determine 3*m(n) - p(n).\nAnswer: -16*n**3 - 33*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -62.9, 1\/5, 0.02, -0.05?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81\/5*f**2 + 12\/5*f**3 - 3\/5*f**4 + 114\/5*f + 48\/5 = 0. Calculate f.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16289 + 2*j - 4*j**2 + 16289.\nAnswer: -4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 11:43 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -670, -669, -668, -667, -666?\n\"Answer: k - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q)**(-2\/3) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(15\/8*34\/425).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414 by -46.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9493 is divided by 725.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*o**2 + 1775*o + 1250 = 0 for o.\nAnswer: -50\/81, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 2\/19, 3, 5, 6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004648 to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -34*l - 189. Let m be b(-8). Find the second derivative of 8*p**2 + 14155*p - 32*p**2 - m*p**2 - 14228*p wrt p.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m + 11. Suppose -l = 5*t + 1, -t - 54 + 16 = -4*l. Let d be y(l). What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j + 34. Let g be n(2). Sort 4, -5, g in decreasing order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/3 or -353654?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1)\/(1 - 0). Let k be ((-1)\/q)\/((-2)\/6). Suppose o - k*o = -8. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n**2 - n. Let o be t(-2). Which is smaller: -57 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 8*x + 30. Let p be g(9). Calculate the greatest common divisor of 14 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -9 - 5\/2*d**2 + 9*d + 5*d**3. Is i(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 561, 664, 771, 882, 997, 1116, 1239?\n\"Answer: 2*n**2 + 97*n + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z)**47*z**(-5)\/(z*z**3*z))\/((z\/(z**(-1)\/z*z)*z*z)**(2\/97)\/(z**(-1))**(-2\/15)) assuming z is positive.\nAnswer: z**(-151246\/1455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 410.02 + -406. Let y = k - 0.02. Let x = -321\/10 + 32. Which is the nearest to -1? (a) x (b) y (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:11 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -463*m**4 - 2*m**3 + 28*m**2 - 4*m?\nAnswer: -11112*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-50)*(-3420)\/(-2394)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogog when four letters picked without replacement from ooggooagaaagga?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 + 46*g - 30. Let x(t) = -t**2 + 9*t - 6. Let u(o) = -2*f(o) + 11*x(o). Let y be u(5). Solve 5*v = -25, -q - y*v - 16 = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 1 - (-513)\/45)*(-70)\/(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 40. Let u be s(-46). Solve -u*t + 27 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - 13) + (29 - 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1.6775.\nAnswer: -0.16775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-21) - -6)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32478 and 18.\nAnswer: 97434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70604 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: Suppose 3*v + 4*a = 53, -4*v + 36 = a - 39. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**5 + 3*b**5 + b**5 - 1 + 1 - b**5 + (-2*b**3 + 0 + 0)*(2*b**2 - 1 + 1) + 5*b**5 - 5*b**5 - 2*b**5 + 56 - 98 + 42 - b**5.\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/660 + k**5\/165 + k**4\/132 - 10*k**2. Factor d(m).\nAnswer: 2*m*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715527573?\nAnswer: 3, 137, 1740943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 0*s - 24 = 0. Suppose 5*y - 469 = -s*z, -z = -3 - 0. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30311 (base 9) to base 7\nAnswer: -112060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*i**2 + 1523*i**2 - 656*i**2.\nAnswer: 102*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -566 + 573. Solve 5 + d = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147694638?\nAnswer: 2, 37, 15509387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(6\/36). Let g(w) = 3*w**2 + 4*w**2 - 3*w**2 - n*w**2. Let h(m) be the third derivative of -m**5\/30 + m**2. Calculate g(h(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*p*x - 15*p - 862*x - 42872 wrt x?\nAnswer: 102*p - 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = k + 4*u, 3*u - 144 - 9 = 3*k. Let j = k - -92. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44729603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.5883244 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -23*g**4\/2 - g + 1. Let k be s(-1). What is the highest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1032189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:41 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*o - 64 = -89, -5*o = 8*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 3. Let y be a(-4). Suppose -2*j + 2 = -d + 12, 3*d = -y*j - 25. Suppose -4*v + 2*v + 16 = d. Solve -4 = 4*i - 2*x, x + v = -4*i + 5*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2161.449753 rounded to the nearest ten?\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170184?\nAnswer: 2, 3, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(567) + 4) + sqrt(567) - sqrt(567))*3 - ((sqrt(567) + (0 + sqrt(567) - sqrt(567)))*5 - (sqrt(567) - (-2 + sqrt(567) + 5 + sqrt(567)))))**2.\nAnswer: 1782*sqrt(7) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1950\/7 in 0.5, 4\/3, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oonn when four letters picked without replacement from oonon?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42\/5 - -8. What is the nearest to d in -1, 0.4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-77))\/((5\/(-70))\/(76\/(-152))).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + y + y)*(-y + 13 - 13 + (-4*y + 5*y - 2*y)*(-1 - 5 + 4) + 1 + 2*y - 1) as c + p*y + j*y**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/251640941 and 1\/2.\nAnswer: 503281882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*g - 13 = -0, 5*i - 5*g + 20 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(1*sqrt(864)) + (sqrt(112)\/sqrt(4))\/sqrt(4) + ((-1 + sqrt(847))**2 - sqrt(7)).\nAnswer: -263*sqrt(7)\/12 + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 474 = -66. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 47*k**4\/24 - 3*k**3 + 12*k**2. What is the derivative of v(w) wrt w?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259245926?\nAnswer: 2, 23, 79, 71339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -479017.1 to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -523\/1435 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*q**3 + 475*q**3 - 2*q + 0*q.\nAnswer: 555*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**2. Let z(o) = 350*o**2 - 6. Calculate z(g(i)).\nAnswer: 59150*i**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(13) + sqrt(13) + -2 + sqrt(13))*2 - sqrt(13))**2 + 2 + sqrt(13)*-1 - ((-1*sqrt(1053) - sqrt(156)\/(sqrt(12)*1)) + 1)**2) + -1.\nAnswer: -816 - 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 64 = 33*r. Let i(u) = -10*u - 38. Does 12 divide i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/7 + 864*v\/7 - 62208\/7.\nAnswer: -3*(v - 144)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/9 + 656*i**4\/9 - 2218*i**3 + 145196*i**2\/9 - 13880*i\/9 - 259600\/3 = 0 for i.\nAnswer: -2, 3, 10, 22, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49793 is divided by 300?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*i = 25, 2*s + 4 - 4 = -5*i + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 2*v**3 - v**3 + 12.\nAnswer: -5*v**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18266545 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/((t\/(t**(2\/3)\/t))\/t)))\/(t**(-18)*t))**(-4\/9))**37 assuming t is positive.\nAnswer: t**(-7696\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 21017e?\nAnswer: 21016d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-53)\/(-5))\/(3\/(-265)). Let y = -920 - u. What is the common denominator of y and 3 - 1\/(6\/(-112))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 2.84.\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73750321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 8*s + 20 = 0. Let d(f) = 2*f**2 - 5*f**2 + 2*f**2 - 36 - s*f + 24. Let p be d(-8). Solve p*i - 11 = r, -r - 2*i - 2 = -3*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3752 + 2 + 5)\/(24\/24).\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 5. Let x be m(0). Suppose 95 = 5*q + 5*d, 3*q - 125 = -2*q + x*d. What is the remainder when q is divided by -2*(-12)\/(-1 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1116*p - 276*p - 9086*p in the form u + a*p and give a.\nAnswer: -8246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 70. Suppose 0 = 4*x + 2*z + 8, -j*x + 3*z + 1 - 29 = 0. Is -3 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/((20\/8)\/(-5)). Let y be (216\/6)\/((-6)\/(-40)). Calculate the greatest common factor of n and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1881?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9700608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8058 and 78538357.\nAnswer: 78530299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-8)\/(25 - 9 - -60)) + 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-20)*2)\/(78\/(-312)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.049 + -43.049. Let i = j + 43. Which is the smallest value? (a) i (b) -0.4 (c) -5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*g = -145660, -381*y + 386*y - 182061 = -g. What are the prime factors of y?\nAnswer: 13, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w = -12. Let a be 40 + (0 - 0)\/w. Let v = a - 12. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 22471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 5*u + 12. Let d(s) = 4*s**2 + 8*s - 18. Let k(p) = -5*d(p) - 7*v(p). Suppose 58 = a + 45. Suppose -a - 15 = -7*c. Give k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494291999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 206, 507, 1022, 1859, 3126, 4931?\n\"Answer: 18*p**3 - p**2 + 178*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27658?\nAnswer: 2, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341760 (base 11) in base 14?\nAnswer: 102345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -16*u**2 - 5*u - 4. Let x(m) = -m**2 + 12*m - 8. Let a be x(11). Let b be z(a). Let c = 315 - b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13900 and 169378450.\nAnswer: 6950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-4*1\/(-8)). Let k be 64\/h - (-48)\/(-84). Solve -6 = -k*y + 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -17. Which is the second biggest value? (a) h (b) 2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3785 - 315. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dddbbddddddddbdddd?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/5)\/(105\/(-10)*(-10)\/150 + -1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*k + 291 - 294 = 0, -5*k - 13 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*t = 328*t - 84*t - 109*t - 33051 for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, a: 2}. What is prob of sequence ta?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 11*w**2 + 2*w. Let a be l(-12). Suppose 5*v + 0*v - a = 0. Calculate the highest common factor of 120 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*p - 6, 4*p + 4*o = 5*o + 16. Let s = 9 - p. Solve -3*u + u + s = y, 4*y - 5*u + 36 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*-3492808\nAnswer: 115262664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*p**3 + 846*k*p**2 + 2*k*p + 21*k + 11 wrt p.\nAnswer: 12*k*p + 1692*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 5*r + 3*r + (1 - 1 - 1)*(1 - 1 + 5)*(29 - 29 - 4*r).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7505850977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-21)\/((-378)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 74*r**2 - 36*r - 323. What is the units digit of a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - (-2 + 3 - 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00093573208 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15 = -5*r, -4*w + 5*r - 25 = -40. Let g(a) be the first derivative of 2*a**3 + 13 - 3\/2*a**4 + 3\/10*a**w + 0*a + 0*a**2. Factor g(j).\nAnswer: 3*j**2*(j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 + -185.9999731. Round v to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*y + 37*y + 16905 = 0 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from hdosodouosdusououku?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3355 and 1\/35990?\nAnswer: 395890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33572285 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from zxvgzzvxxzzvxrgx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10726 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, -15, 2, 7, 52 in decreasing order.\nAnswer: 52, 20, 7, 5, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 + 6*a - 4. Let z be i(-7). Factor z*v**3 + 4*v**3 - 6*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397747818.\nAnswer: 2, 3, 13, 29, 58613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 1, -18, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.47 + -115.53. Let i = m - -117.949. Let o = -0.011 - i. What is the nearest to o in 5\/2, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550776899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:33 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52414443 and 7335?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (28 - (21 + -16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 + 416*t**4 - 9012*t**3 - 94552*t**2 - 160384*t - 75264 = 0. What is t?\nAnswer: -6, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = -4. What is the remainder when 35\/(-14) - -2*(-801)\/(-12) is divided by 34 - 3*a\/(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13875 - 13867. Solve -51*i + x = -43*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + -111000?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.283 (c) -2\/143 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*o - 268*o - 524*o - 352*o + 235*o to the form b + t*o and give t.\nAnswer: -1163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a decade in years?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f + 30 - 100. Suppose 5*p = 0, 6*a - 5*a + 4*p = -4. Calculate the remainder when 2\/a - 54\/(-4) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2864*t**2 - 4*t - 1. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 2\/3 (c) -1\/6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:51 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-11 - (14 + -32 + 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 2*k**7\/735 - k**6\/105 - k**5\/35 + 257*k**2. Find y, given that x(y) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129389 and 962.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*g**2*t**3*x - f*g**2*t - 5*f*t**3 - 278684*f*t**2*x + 60*g**2*t**3 + 2*g*t**3 - 81*t**2 wrt x?\nAnswer: -f*g**2*t**3 - 278684*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 141731 + 4?\nAnswer: 141735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 5*k + 45, g = 3*k + 17. Suppose -g*o = -11*o + 60. Suppose y + o = 6*y. Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 114. Let y be t(-34). Let k(r) = -y*r**2 - 96*r + 5*r**2 - 7 + 99*r + 5. Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1572930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2. Let h(m) be the third derivative of 0*m**3 + 0*m + 17*m**2 + 1\/6*m**4 + 0. Give h(l(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*j - 4479 = -4*g, 0 = -5*g + 2*j + 5595. Let l = g + -631. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 45. Does 16 divide 2 - (412\/(-6))\/(u\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*x - 11880 = 1378*x - 299*x + 1414*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpfhhcc. What is prob of sequence phh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19)\/(1\/(-2) - -1). Let k = 73 + s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6244*d**5 - 1387744 + 1387744 + (-4*d - 2*d**3 + 4*d)*(0*d**2 - 5*d**2 + 4*d**2) - d**5 - d**5 - 2*d**5.\nAnswer: 6242*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1083\/5*x**4 - 3021\/5*x**3 - 36\/5*x - 672\/5*x**2 + 0.\nAnswer: 3*x*(x - 3)*(19*x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21961, -22088, -22219, -22354?\n\"Answer: -2*z**2 - 121*z - 21838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 14 = -n. Suppose 3*a = n*a - 18. Suppose -y + 0*p + 110 = a*p, -388 = -4*y + p. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, and 1 o when three letters picked without replacement from {v: 2, o: 5, w: 1, y: 5, q: 1, z: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3271 - 14229. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 8 + 9 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:58 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/77403 - 239119\/267427365. Let d = -107021\/96740 + b. What is the common denominator of d and 4\/(-18) + (5 - (-3916)\/(-360))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 5*x + 1. Let v be w(-5). Suppose a - 3 + v = 0. Suppose 3*o - 5*o = 0. Solve z + z + a = o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*y = -8, -16*x = 36*x - 2*y + 620 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95195040 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1981061641.\nAnswer: 13, 152389357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1668 or 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 22*t**2 - 24*t - 21. Let u be j(-23). Solve -2*v + v = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 206\/(-80) - (-15)\/40?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*v - 841 - 43 = 84 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 2840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 9:34 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -33. Suppose -5*d + p*x + 6320 = 0, -d = 3*x - 540 - 704. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 42 = 4*n. List the prime factors of (14\/n)\/((-2)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 87 = -95*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-259))\/((-2)\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + w. Let d(x) = 10*x - 6. Let l be d(11). Let j be 6\/4*l\/(-39). Put w, j, 1 in increasing order.\nAnswer: j, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.91 - -0.09. Let x = 7 - g. Let i = 5.3 - x. Which is the third biggest value? (a) -1 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.069501278 - 0.0695. Round q to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -881 + 628 = 18*h - 397. Solve 0 + 0*w - 4*w**5 + 52\/3*w**3 + 16\/3*w**4 + h*w**2 = 0 for w.\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -986 + 693. Let x = c - -4693\/16. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3 - 591*i**2\/2 - 594*i - 5569. Factor j(s).\nAnswer: 3*(s - 198)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwv when three letters picked without replacement from {w: 4, v: 2, g: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (11 - 25) - (-62 - (6 - -1) - 0).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:43 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6 - 1) + 3 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wccw when four letters picked without replacement from {c: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2398\/88 + -27)\/(-1*2\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253636 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*i - 718, -55*t + 57*t = -5*i + 241. Solve -31*y = -8*y + t for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.9. Let w(l) = l**3 + 4*l**2 + l - 1. Let h be w(-4). Let t = 0.3 - -0.7. Sort h, t, r in decreasing order.\nAnswer: t, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*j - 5*p, 33*j - 31*j + 3*p = -21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06106 - -1.21424. Round j to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4089 - 1749. List the prime factors of j.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 11*d**2 + 24*d - 11. What is j(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 704994, 1410054, 2115114, 2820174, 3525234, 4230294?\nAnswer: 4935354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.3, -1\/10, -4 in descending order.\nAnswer: -1\/10, -0.3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 10.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -11. Let o = -7 - g. What is the remainder when 5 is divided by (o\/6)\/((-3)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 15\/7 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59147.5 rounded to the nearest 100?\nAnswer: 59100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fjfjfttftjy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(19) + sqrt(190)\/sqrt(250)))**2.\nAnswer: 2736\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = -6*f - 97 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 f when three letters picked without replacement from {r: 2, o: 8, n: 3, d: 5, f: 1}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - w - 3 + w + 2 - 2 + (2*w - 6*w + 2*w)*(2 - 4 + 1) - 35*w + 12*w - 19*w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 1, t: 2}. What is prob of picking 1 x and 2 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2)*56\/84. Are x and 40\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (sqrt(17) - (sqrt(408)\/sqrt(8))\/sqrt(3)) - ((1*sqrt(1700) + sqrt(1700) + 4 + sqrt(1700) + sqrt(1700))**2 + 0).\nAnswer: -27219 - 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5688 or -5690?\nAnswer: -5688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {v: 9, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.8 - 28.8. Let r = -0.3 + -0.8. Let h = r + 0.1. Which is the closest to h? (a) -1 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*y - 12*y - 17*y - 24*y to the form p + r*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -30e6?\nAnswer: 30e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + -2) - (-19 - -29).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 8*v**3 - 10 + 6.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 124*q**2 + 4*q - 6. Let k be c(2). Find the common denominator of -43\/3 and (k\/72)\/(2\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.007006 and -34880.1.\nAnswer: -34880.107006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.055, -1, 2\/3, 1\/3, -0.088, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2 - 2*g + 14. What are the prime factors of t(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**2 + 43*p + 5. What is a(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 605137*q + 1815395. Calculate p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326552522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 83778694 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g - 18. Let u be h(3). Factor -1\/2*v**u + 0*v - 1\/4*v**4 + 0*v**2 + 0.\nAnswer: -v**3*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(432) + -2*sqrt(432)) + 0)**2.\nAnswer: 360*sqrt(3) + 10809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 3 + 3. Let o be 468\/(-24)*(-112)\/6. Let g(i) = -362*i**2 + 741*i**2 - o*i**2. Determine f(g(w)).\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -354*a**4 + a**3 + 3531*a.\nAnswer: -4248*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.3 - -6.7. Let c = a + -43.5. What is the closest to -2 in c, 0.3, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 5 - y - 2)*(-y + y + 9*y) to q*y**2 + a*y + n and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32142.6 - 32143. Suppose -2*t = -5*t + 9. Which is the nearest to 0? (a) y (b) t (c) 1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -712 (b) 0.5 (c) 0.4 (d) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s + 1. Let x(k) = -1094*k. Calculate a(x(z)).\nAnswer: -6564*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-5)\/(-35)) + -3. Let c = 15 + b. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84634.35 millennia to years.\nAnswer: 84634350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150592370 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 228*x**3 - 860*x**2 + 636*x.\nAnswer: -4*x*(x - 53)*(x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:09 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 27 + 9*q**3 + 3*q**3 + 0*q**3 + 0*q**3 + q**3 + q**3 - q**3 + (q + 2*q**2 - q)*(-2*q + q + 0*q) in the form x + z*q**2 + s*q**3 + r*q and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174925161*d*o + 96847521*o wrt d?\nAnswer: 174925161*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457971.6*-4.\nAnswer: 1831886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 2521, 1 in ascending order.\nAnswer: -1, 1, 10, 2521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - 235\/(-30)) + 830\/12. Which is bigger: 75 or t?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -379, 8.\nAnswer: -379, -7, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3.545, -348, -0.5, 0.5 in decreasing order.\nAnswer: 3.545, 0.5, -1\/5, -0.5, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -19. Is (-9)\/6*16\/t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 7 = -20. Which is smaller: 4\/515 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 6 + 16)*(-2*s**5 + s**5 + 4*s**5) + 5*s**4 - 2*s**5 - 5*s**4.\nAnswer: -152*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.48509 millennia in years?\nAnswer: 6485.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1216) + -1)*4)**2.\nAnswer: -1280*sqrt(19) + 97360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-3) + (-2)\/6. Find the third derivative of -4*t**5 + r*t**5 - 2*t**3 + 2*t**3 - 2*t**2 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 324 = -t. Let c = 106 - t. Let y = 87 - c. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2 + 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -173 (b) 2\/13 (c) -5\/2 (d) 0.015 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/3, 1\/4, -10\/9, 0, 0.22?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u + 3*u)*(-8*u**2 - 3*u**2 + u**2) to x*u**2 + r*u + q*u**3 + l and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/7)\/((-24)\/28) - -2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270 = 10*r + 1240 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141.24 - 1.76. Let t = -143.1 - q. What is the nearest to t in 1\/3, -0.9, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -31 (c) 3\/2 (d) -1 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 - 19*w**2 + 2*w - 1. Let s be j(-13). Let b = 5083 + s. Is b\/(-24) - (-3)\/18 - 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 2. Let g = -2 - -5. Let c(d) be the first derivative of -3*d**2\/2 + d + 2. Let q be 3\/(1 + (-2)\/(-4)). Determine g*c(i) + q*b(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*p - 22*p**2 + 35*p**2 - 2 + 100*p.\nAnswer: 13*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5*j - 15 = 0, -7*b + 3*b + 17 = 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-158)\/102 - 40\/340.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 8*g + 1. Let h be a(0). Is (h - 2)*(7 + -179) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/(4\/(-48)). Let z be (0\/(a - 8))\/(-2). Suppose z = -2*l + l + 15. What is the greatest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + 7. Suppose 169 = -5*x - 3*d, 2*x - x - 2*d + r = 0. Let g = x - -60. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*w**2 + 14*w - 16*w**4 + 25*w - 1 - 28*w**2 - w**3 - 9*w + 7*w**4 to the form h*w**4 + a + b*w**3 + p*w + s*w**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times -0.29054688?\nAnswer: -0.813531264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - s + 1)*(0 + 0 - 2*s) + s**2 - 12 + 12 - s + s**2 + s - 2*s**2 + 4*s**2 - 3*s**2 + (-3 - 2 + 0)*(3*s**2 + 3*s**2 - s**2).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 2, 4392.\nAnswer: -49, 2, 4392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1012*u**2 + 335 wrt u.\nAnswer: 2024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 3. Let l = -301 + 297. Let h(w) = -1. Determine l*h(f) - s(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 6*w + 7*y + 46 = 4*y, -3*y = 6 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:56 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Suppose -37 = u*x - 3*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qgqgqqg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173250, -173260, -173284, -173328, -173398, -173500?\nAnswer: -173640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f - 52. Let i be 2\/(-2*f\/(-4)). Which is smaller: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4889929.5 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t = 51*t + 1684200. What is t rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1, 0.1, 5\/2, 4\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:22 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1136 and 63844.\nAnswer: 18131696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4)\/(72\/(-36))*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 201 = 27. Let f be -2 + (-32)\/(-18) + 46806\/(-783). Do w and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 322\/184 - (-1649)\/(-884)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 13*l + 64919. Is t(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epj when three letters picked without replacement from tutteptttjttellttjpj?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1810 or 1802?\nAnswer: 1802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 958, 938, 918?\n\"Answer: -20*t + 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23818 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1001111 (base 2) to base 11\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10622 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {z: 8, v: 2, h: 2}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4597*l - 12233 - 139468 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14201733263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2254 = -i + d, -2*i = -2*d - 2252. What are the prime factors of i?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4 - 2268*j**3 - 36145*j**2?\nAnswer: 48*j - 13608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let m(t) = -t + 3. Let y(v) = 1. Let q(a) = n*m(a) + 3*y(a). Let b(k) be the first derivative of k**3 - 2. Determine b(q(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 7. Let o be w(-3). What is the third derivative of 6*m**o + 5*m**4 + 2*m**2 + m**2 - m**2 wrt m?\nAnswer: 264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 9*o**2 + 17*o + 9. Let x be 488\/(-44) + 11\/121. Determine g(x).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217045 or 217046?\nAnswer: 217045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 15*w**2 + 30*w - 2. Let c be a(-12). What is the least common multiple of 175 and (-2)\/(-1*20\/c)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 28*c - 6. Let t be a(15). Let h(v) = v**2 + 2*v - 1. Let i be h(-3). Suppose t = i*z + 2*z. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -455, -719, -935, -1079, -1127, -1055, -839?\n\"Answer: 4*o**3 - 292*o - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 96*s**2\/7 - 111*s\/7 + 36\/7.\nAnswer: -3*(s - 3)*(s - 1)*(7*s - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -101605 - -14?\nAnswer: -101591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -293626.1 rounded to the nearest 1000?\nAnswer: -294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -479*b**2 - 28*b + 2*b**4 + 2*b**3 + 2 + 38*b + 478*b**2 in the form y*b**2 + s*b**4 + a*b**3 + r*b + d and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 22. Suppose 4*q - 19 = -3*i - 6, -h*i + 80 = -5*q. Let n = i + -12. Does 0.09 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23282116 divided by 52?\nAnswer: 447733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18009679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227837?\nAnswer: 41, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**3 + 3*d**2 + d. Suppose -1849 = -p + 4*o - 1797, 4 = 4*p + o. Let j(y) = 8*y**3 + 4*y**2 + y. Suppose 9 = -2*v - v. What is p*c(i) + v*j(i)?\nAnswer: 8*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794204 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 5*x**2 - 10*x + 17. Let a be u(-6). Let f(g) = -a - 35*g + 75*g - 29*g. What is the units digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-998)\/(-3) + (280\/21)\/10. Let x = l - 193. Round x to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -11. Let k(x) = -2*x + 21. Let n be k(8). Suppose 2*a + 2 = 3*i - 5, -5 = 5*a - n*i. What is the smallest value in a, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8965 - -9005. What is the highest common divisor of c and 8210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1125 + 8999\/8. What is the second smallest value in 0, -2, c, 0.6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -11*l**6\/900 - 16*l**5\/75 + l**4\/5 - 61*l**3\/3 + 19. Let z(j) be the third derivative of f(j). Determine a so that z(a) = 0.\nAnswer: -6, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115477 + 230956 - 115479 + 16707*u**2.\nAnswer: 16707*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8064 and 2688.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/8988 and -34\/1576217?\nAnswer: 132402228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.6 - -7. Let t = l - 1.4. Let x = 1.9 + t. Sort -0.5, x, -2\/11.\nAnswer: -0.5, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11760463 and 627.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 4, k: 1}. What is prob of sequence ck?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-29)*p*p**(-22\/3)*(p\/(p**11*p))\/p**(-1\/29) assuming p is positive.\nAnswer: p**(-3941\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/1320 and 43\/2245.\nAnswer: 592680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4189905.\nAnswer: 1\/837981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -17, -35, -61, -95?\n\"Answer: -4*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008486 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1004067 (base 8) to base 11\nAnswer: 170595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 19. Let d be (-10 - -24)*(-154)\/(-98). Give z(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 5:08 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*46\/3795*1*(-6)\/24?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, -514, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 8*a + 3. Let t be o(0). Solve 2*m + 3*g - 1 = 0, -4*m - t*g = -1 - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/54936 and -97\/14?\nAnswer: 54936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 3)*(-x + 2 - 2)*(2 - 6 + 1) + (-2*x + 2*x - 2*x)*(-1 + 5 - 3))*(-11*x**3 - 18*x**3 + 32*x**3 + 95*x**4).\nAnswer: 665*x**5 + 21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 22 = 2*a. Suppose -4*t - 3*z + 20 = -7, -11 = -2*t - z. Suppose -a*y - 2 = 4*c - 6, -t*c + 3*y = 6. Solve c*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -13*l + 6*l. Find the first derivative of 108*o - l - 57*o - 58*o wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*u + 123*u - 6310 = -3*i, -3*i - u = -6326. Calculate the highest common factor of i and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6190*r + 12297*r - 6162*r = -3465 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/8 + 7)\/((-15)\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01953199 to four decimal places.\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*u + 502 - 909 = 82*u + 2721 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 38 + 0 + (-178416)\/5376?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 822 divided by -274.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*o - o - 6, -2*o + 6 = 0. Suppose f = -f + 30. Solve -d = -b*d + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 57*g + 22 = 0. What is the smallest value in g, -3.76, 1\/7?\nAnswer: -3.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*c + 3400 = 0, 5*a - 9*c + 3386 = 10*a. What is the highest common divisor of 49 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1345, -1, -5.\nAnswer: -5, -1, 1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 5*k + 10. Let f be o(4). Suppose 2*p - 328 = f. Suppose -9*z + 14*z = p. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 158730903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325.01 - -1.99. Let g = -327.003 + f. Let l = 0.1 + -0.2. Is g greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - x + 25. Let t be c(4). Solve 2*z + 6 = 0, 6*z - t*z = 4*j - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than or equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-6 - (10 - -4 - -1)) - (58 - 1)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*c + 56. Let p = c - -6. Calculate the greatest common factor of p and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 14*k**5\/11 + 458*k**4\/11 + 764*k**3\/11 - 20248*k**2\/11 + 3472*k - 9280\/11 = 0.\nAnswer: -29, -10, 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 336.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73919509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119369 is divided by 1414.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157691.1 - -156705.587. Let w = 2367 + -3353. Let x = w - g. Round x to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -10. Let c = n + -20. What is the highest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.3171 litres?\nAnswer: 29317.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j**5 - 2*j**5 - 3*j**5 + (-2*j**3 + 2*j**3 + j**3)*(2 - j**2 - 2) + (-j**2 + 2*j**2 - 14 + 15 - 3*j**4)*(1 + 0 - 4)*(-2*j + 3*j + 0*j).\nAnswer: 14*j**5 - 3*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-704))\/((-1)\/(-3))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c - 4*c - 2 + 17*c**2 - 6*c + 12*c**2. Is 20 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 14*p**2 + 15*p + 46. What is the remainder when b(-15) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.211 + 105.789. Let a = -106.53 + c. Round a to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -786165 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*i - 14 = 0, u + 3*i + 5 = -16. Let p(v) = 2 + 5 - 5*v - 8 + 9. Is p(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*z + 34, -1 = 5*i - 6. Solve -5*s + 3*s = -4*c - z, 0 = s - 3*c - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*q**2 + 1 + 289*q**2 - 54*q**2.\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.31 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67.312 + 67. Let d = x - -0.2967. What is d rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 118, 129, 144?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v**2 - 2*v + 2. What is t(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 - 277*j - 1154. Determine x(-17).\nAnswer: 1243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 4*d**2 - 5*d - 2. Let j be y(-3). Suppose 0*p - 1 = v + 3*p, j*p - 4 = 4*v. Is v at most 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -289?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299*r**2 + 12 + 191 + 359*r**2 - 538*r**2 with respect to r.\nAnswer: 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/(-132) + (-28)\/(-70) + (-44)\/10.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*n + 3*z, 14243*n = 14240*n + 3*z + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*i = -0*i - 42, 0 = 5*d + 5*i - 30. Let z = 1165 + -1166. Let c be (z\/3)\/(d\/(-150)). Solve -1 = 4*x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 40*a. Let o(r) = -19*r**2 + 4*r**2 + 13*r**2. Determine o(d(i)).\nAnswer: -3200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j\/(j*j*j*j**(-1\/31)*j*j))\/j))**39 assuming j is positive.\nAnswer: j**(6006\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 - 39*q**4 - 689*q**3 + 32919*q**2 - 121280*q + 89088 = 0. What is q?\nAnswer: -29, 1, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f - 10, -3*f = -l + 20. Suppose 0 = 5*c + l*y - 775, -465 = -0*c - 3*c + y. What is c rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/9))\/k)\/k*k**(-1\/3)*k**(2\/7)\/(k**(-7)*k))**9 assuming k is positive.\nAnswer: k**(319\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 28*z**2 - 83*z + 183. Determine g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*u - 32 = 4*i, 80 = -5*i + 2*u. Let a = 20 + i. Sort a, -5, 11 in descending order.\nAnswer: 11, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 41 = -5*w, 11 = -5*g + 31 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 63250192*b - 24*b**2 + 71*b**2 + 2 - 63250192*b.\nAnswer: 47*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 2, q: 2, f: 2, t: 4, g: 6}. Give prob of sequence wfk.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 9*h + 10*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c = -57*c - 44. What is the first derivative of -c + 26*n**3 - 6 + 3 - 1 wrt n?\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Let y be 1\/1*(-3 + 11). Let k(d) = d**3 - 2*d + 4. Let h be k(2). Let o(v) = y*v + h*v - 11*v. Calculate u(o(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65294 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1))\/z*z)\/z)**(-48)\/(z**(-10\/3)\/(((z*z**(-9))\/z)\/z)) assuming z is positive.\nAnswer: z**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -29. Let k be ((-24)\/x)\/((-2)\/6). Is 1814\/k*(5 - 1)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.55217 millilitres in litres?\nAnswer: 0.06155217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61571200 a multiple of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/((-9)\/(-24)). Suppose k = -5*t + 29. What is the lowest common multiple of t and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/15)\/(-16)*9\/((-36)\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549.13 rounded to the nearest 10?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563175?\nAnswer: 3, 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54176 plus -41?\nAnswer: -54217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**4 + 120*j**2 + 1053 wrt j?\nAnswer: -12*j**3 + 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 377102.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7)*4 + sqrt(7)))**2 + -5.\nAnswer: -106\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 10*i + 9681 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (5 - (-2 + 4)). Suppose 2*j = -l*j - 28. Let h = j - -26. 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: Suppose -2*y - 4*z + 20 = 0, 3*y - 31*z - 6 = -29*z. Solve -n = -4, 4*a - 8*n + 24 = -y*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0489 or -1\/2?\nAnswer: -0.0489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/16 - 19\/(-8). Suppose -4*u = -5*d + 53, 0*d - z*d = -u - 23. 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(r) = 393*r**3 - 7*r**2 - 9*r + 4. Let o be b(-12). What is o rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255706 and 649.\nAnswer: 255706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6318 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -481, -700, -919, -1138, -1357?\nAnswer: -1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 3*n + 2*n + 0*n**2. Let x = 40168 - 40161. Determine h(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*u - 510*u - 5*m - 108 = 0, 5*m + 24 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704470775 divided by 140894155.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41420 divided by 109.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**2*z**3 + 114894*v**2*z**2 + 2*v**2*z - 5*v*z**2 - 5*v*z - 21294522*z**4 + 5*z - 1 wrt z.\nAnswer: 36*v**2 - 511068528*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17907676 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 99. Let z(p) = 305*p + 5. Let t be z(3). Suppose 4*n + 0*c - 922 = -2*c, -4*c + t = 4*n. Calculate the greatest common factor of n and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2215 is divided by 542?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -0.03.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 47*a = 48*a - 8, 3*a - 190 = r - 182 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20\/581 - -5559\/178367. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:15 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 3a?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 19\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -58670, -3, 538 in increasing order.\nAnswer: -58670, -3, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 18 + ((-15)\/10)\/(2\/(-8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449, 375, 301, 227, 153, 79?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.263346 meters in millimeters?\nAnswer: 9263.346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/24 and -29\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2786014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 230 = -5*t, -3*c = -2874*t + 2873*t + 101 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 648\/30 - 4\/(-10). Suppose 3*d = -d - 5*y + p, 0 = d + 2*y - 7. Let l be (d\/(-15))\/(4\/(-10)). Do 2 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*g + 6*g - 70 = 0, g = 0. What is the least common multiple of b and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-468)\/38610*99)\/(6\/70)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 27. Let j = l - 14. Let v be 20\/6 + (-2)\/(-3). Which is the biggest value? (a) j (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*x + 56. Let j(p) = -3*p - 11. Let v be j(x). Calculate the greatest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8) + (-195)\/26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*c**2 + 1492*c**2 - 487*c**2 - 501*c**2 - 738 + 1478 - 740.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7667)\/1353*15\/680?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 6. Let a(l) = -2*l - 5. Determine 6*a(n) - 5*v(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8) - sqrt(2))*-3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 50 - (2 + -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*-6*(sqrt(180) + sqrt(180)*2 + sqrt(180)))\/(-6*(sqrt(1440) + 2*sqrt(1440)*-3 + sqrt(1440))).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b**5\/5 - 6*b + 6. Find the first derivative of l(p) wrt p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -1, -6, 69 in decreasing order.\nAnswer: 69, -1, -6, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 931172775 to the power of 1\/2, to the nearest integer?\nAnswer: 30515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 130\/45)\/((-9)\/54). Which is smaller: x or 55\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 6. Let l be (u\/(-4))\/(7\/(-56)). Let g be l + -1 - (-5 + 4). Solve -g*n = 3*j - 16, -2*j = 5*n + 2*j - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -43. Suppose k = 3*c - 11, -3*k + 1 = 4*c - 5. Suppose 0 = -2*a + 3*f + 9, 4*f = -f - 25. Sort 5, a, s, k in descending order.\nAnswer: 5, s, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 0*c**2 + 0*c + 0*c**4 - 16 + 11\/3*c**3 + 3\/2*c**6 + 0*c**5. Find the third derivative of z(w) wrt w.\nAnswer: 540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/91 - 25\/91. Let x = 1 - -1. Let s = 1.6 - x. What is the third smallest value in a, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) - 2*1. Let h be 44 + 1*(p + 4). Suppose f + 0*f = h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/(22\/(-4)). Suppose 1130 + 312 = -7*a. Let l = -205 - a. Is l less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/7400 and 66\/37925.\nAnswer: 303400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s**3 - 3*s**2 - 4*s - 1. Let d be c(-1). Let p be (-10)\/(-15) - d\/30*5. What is the third biggest value in 0, -1\/12, 0.1, p?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*p = -112, -52 = -4*c + c + 2*p. What is the remainder when 112 is divided by ((-1)\/1)\/((-1)\/(c + -1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8812159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*n - 56373 + 56373 to h + s*n and give s.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 487, 0.5, -2\/19, 1\/4, 11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w - 4*m + 32, 0 = 4*w - m - 17. Solve -4 = -w*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-7378)\/(-11) - (-33)\/121 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:28 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 143278325 to the power of 1\/3, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - 445635?\nAnswer: -445606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 at least 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 250*a**3 + 2.\nAnswer: -250*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170)*-5*2)\/(sqrt(450)\/sqrt(5) + sqrt(60)\/sqrt(54)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 5*n - 4. Let p be l(-3). Find the third derivative of 42*c**2 - 3*c**5 - 75*c**2 + 42*c**p wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6)\/(-12) - 4\/(-16) - 11319\/(-12) and 118?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/3 - 518767*y**3\/3 + 2075080*y**2\/3 - 2075084*y\/3 = 0. Calculate y.\nAnswer: -518771, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 782769759 to the power of 1\/2, to the nearest integer?\nAnswer: 27978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -19 - 65. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.1, -5, -22, -1\/15, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m)**(3\/14)\/(m*m*m**3*m*m\/m**(2\/71)))**35 assuming m is positive.\nAnswer: m**(-15195\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 23*f**2 - f + 4. Let w be t(-3). Let l be -1 + 3\/(-1) + w. Suppose -44*g - l = -49*g. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/18 + (-1)\/3. Differentiate 2 - c**4 + 3*c**3 - 3*c**3 + q wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 20*m**3 - 17*m**2 - 16*m - 11. Let q(x) = 9*x**3 - 9*x**2 - 9*x - 6. Calculate 6*d(a) - 11*q(a).\nAnswer: 21*a**3 - 3*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185578720 and 3585.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0221 + 0.0779. What is the nearest to -2 in b, 1.1, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -1\/2, 0.2, -5, 229, 0.8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*w + 13, 8 = 4*w + 3*l - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 143*x**2 - 12*x**2 - 93 + 43 in the form z*x + b*x**2 + m and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 10:20 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69641 by -23.\nAnswer: 69641\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 95. Let p be 5\/(2*-5)*-6. Put p, g, 5 in decreasing order.\nAnswer: 5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359990390*m**5 - 104813974*m**2 wrt m.\nAnswer: 21599423400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylylllgtqtlyt. Give prob of picking 1 t and 3 l.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 613764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 2)*(-1 + 1 - s) + s - 3*s + s + (0 + 1 + 0)*(2*s + 4*s - 7*s) - 2*s - 2*s + 3*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 6*f**2)*(0 + 0 + 2*f + (-2 + 2 + 2)*(-f - f + 3*f) - 9*f - 106*f + 29*f) as g + h*f + q*f**2 + i*f**3 and give i.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Suppose z*c - c = -8. Let g be (3\/(-1) + 3)\/c. Solve 3*d - 12 = -4*b, g*d - 4*d = 2*b - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57391*m**2*t**3 + 9*m**2*t + 7*m**2 + 2*m*t - t**4 + 19 wrt t?\nAnswer: 344346*m**2*t - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)\/(l\/(l*l**(-4))))**(-4\/13)\/(l**(-2\/9)*l\/((l*l\/(l**(2\/3)*l))\/l)*l*((l\/(l\/l**(-2\/3)))\/l)**25) assuming l is positive.\nAnswer: l**(61601\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 5*j + 0*j)*(0 + 0 + 2) + (2 - 6*j - 2)*(4 + 0 - 2 + (-3 + 5 - 1)*(-2 + 4 - 4) - 4 + 0 + 2 + 0 - 1 - 1 + 4 + 8 - 6).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose 0 = u*f - t - 144, 0 = 2*f - 4*t + 7*t - 128. Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*d = -180*d - 170*d + 89199 for d.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + 192. Let u = t + -243. Solve u = -3*i - 14 - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 1\/150*g**6 - 8 + g - 7\/30*g**4 - 3\/50*g**5 - 3\/10*g**2 + 1\/210*g**7 - 11\/30*g**3. Factor z(m).\nAnswer: (m - 3)*(m + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -914512 at most as big as -914513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7794289 millennia to decades.\nAnswer: 77.94289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4\/18 + (2068\/(-45))\/((-12)\/15990)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 12099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -0.098, 4\/5, -2, 5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 47*h**3 + h**2 - 1. Suppose 6*n - 8*n = -2. List the prime factors of f(n).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2767 + -2770. Which is the biggest value? (a) -2\/11 (b) 55 (c) 1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g\/g**(-1)))\/g*g\/(g\/(g\/(((g*g\/(g*(g\/(g**(2\/3)\/g))\/g))\/g)\/g))))\/(g**0)**14)**(-10))**(-2\/7) assuming g is positive.\nAnswer: g**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 411*w**4 - 6669*w**3 + 28917*w**2 = 0. Calculate w.\nAnswer: 0, 9, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-4)\/(-3)) + 1148\/(-246). Suppose -i + 12 = 3*i. Let c(w) = -4 + 6*w**2 + 2 + 2*w**3 - w**i - w. Give c(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1) + (-5 - -6). Suppose -5*m = -c*w - 187, 2*m + 18 - 76 = -4*w. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/12 - y**3\/2 - y. Let m be (-4)\/(-42) + 206\/42. What is c(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 19. Let i = -2 - w. Solve 5*z - 29 = -i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 2. Let q(f) = 2*f**2 + 279*f - 302. Let i(h) = -5*a(h) - q(h). What is the derivative of i(t) wrt t?\nAnswer: -4*t - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-eight thirds of a decade?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/45763?\nAnswer: 5\/45763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**2\/2 + h - 15. Let w be b(0). Solve 0 = -5*o + 11 - w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/15)\/(12\/(-8)). What is the third biggest value in -3, -1, -0.3, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-3))\/2*24\/(-288)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 + 1 + 0 - 8*f + 2*f**3 + 11*f**2 + 4*f to the form z*f**3 + d*f**2 + q + r*f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i + 0*i - 2*i)*(312 + 234 - 160) as t + j*i and give j.\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3086 - 3063. Solve -148*i = -125*i - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -418744 or -418650?\nAnswer: -418650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 1. Let y be z(3). Let r = y + -10. Find the common denominator of r\/(-15) + (-886)\/40 and 2\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = n + 2 - 19, -3*i + 16 = 4*n. Suppose 15 = 2*h + i*m + m, 3 = -3*h + m. Let t be h\/((-2)\/(1 - -1)). Solve -4*z - 11 - 5 = t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 5?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497877243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558613 is divided by 501.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2214, -2206, -2196, -2184, -2170, -2154?\nAnswer: -2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 20 = -8*u + 3*u, -u = 2*b - 15. Let r be 1\/(1\/(-9)*-3). Solve u - 17 = -r*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1*3\/(-9). Suppose h = -o - 2. Let x = h - -7. Calculate the greatest common divisor of 12 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1135 + 2088. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 16*k - 10. Is 5 a factor of t(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a day?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5168 - -8557. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -23. Suppose 0 = -0*x - s*x + 396. Let t = -136 + x. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -2. Let s be (-6)\/(-3) + -3*(2 - -4). Let x = s + h. Solve x = 5*y + 4*w - 5, -y + 0*w = -w - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559024956 divided by -15528471?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from fyuabfb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3840, -4083, -4488, -5055?\n\"Answer: -81*b**2 - 3759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17*f + 14. Let h = 27 - 21. Suppose -h*a + 2*a - 8 = 0. Let j be (19 - 3)*(-1)\/a. Let g(u) = -6*u + 5. Give j*g(s) - 3*l(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9\/31 (b) 3466 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/277832 and -77\/64.\nAnswer: 2222656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120210 - -1000200?\nAnswer: -10120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/171 (b) 5 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 853, 414, 2\/15?\nAnswer: 853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(448)*-2 + -1)*4 + (6*-1*sqrt(448) - (sqrt(448) + 3*((3*sqrt(448) - sqrt(448)) + sqrt(448)) + sqrt(448) - sqrt(448))))**2.\nAnswer: 17920*sqrt(7) + 1405328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18827963 rounded to four dps?\nAnswer: -0.1883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s - 609. Determine r(-23).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - 74. Suppose -3*q - 2*q + 30 = n, 4*q = 4*n. What is the highest common divisor of p and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kovvoihh. Give prob of sequence iv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -x - 57. Let q(z) = -2*z. What is the remainder when (-1)\/x*(25 + -7 + 8) is divided by q(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*p - 34, -4*p - 3*r + 2 + 9 = 0. Suppose 5*w = -q - 25, 2*q - 7*q - p*w = 25. Solve j + 0*j - 1 = q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15270467117013 + -0.15.\nAnswer: 15270467117012.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -4042 and -4041 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 + 0 = 0. Suppose 0 = -8*q + c*q. Let y(a) = -4*a + a + q*a + a. Let x(g) = -5*g. Give y(x(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -23.4. Let v be 1 - (2\/(-4) + 2). What is the third smallest value in a, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12664985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 32*r - 2. Suppose 53 = 8*b - 371. Let z = b + -70. Let a be k(z). What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2039*n**3*x**4 + 62*n**3*x**2 + 13*n**3 + 2*n**2*x**6 - 2*n**2*x**2 + 2*n**2*x wrt x?\nAnswer: 48936*n**3*x + 240*n**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -11. Let h = 3 + 6. Let r = y + h. Which is the smallest value? (a) r (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 6*q**2 + 7*q + 4. Let s be j(-7). Find the third derivative of -84*v**2 + 180*v**2 - 7*v**s - 84*v**2 wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -39472\/7, -2 in descending order.\nAnswer: 4, -2, -39472\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/60 - y**4\/4 + 5*y**3\/3 - 16*y**2. Let d(x) be the first derivative of b(x). Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 4*l**4 + l - 6*l**4 + l**2 + 5*l**4 + 3*l**3 to a*l**4 + u + m*l**3 + d*l + s*l**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + -47b5?\nAnswer: -478b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2061*a + 1584845. Give o(-769).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*r**2 + 67*r**2 - 147*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Suppose l*n - 21 = -3*n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p + 2. Let k be b(-3). Let a = k + 45. What is the remainder when 39 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 4*o**2 + 8*o - 14. Determine h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - u**4 + u**4 + (-2*u**2 + u - u)*(-1 - 2*u**2 + 1) + (1 + 2*u**2 - 1)*(0*u**2 - 7*u**2 + 2*u**2).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-5)\/(-30)). Let m be (k\/(-12))\/(14\/(-28)). Let b = -0.037 + 30.037. Does m = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 + 2*h + 1. Let d be 5 + -7 + (-8)\/(-2). Let w be (8 + -12)\/(8\/(-6)). Let t(z) = -2*z**3 + 2*z**2 - 3*z - 1. Calculate d*t(g) + w*l(g).\nAnswer: -g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7567\/2020 - 2\/505. Let j = 93\/28 + w. Let a = -0.98 - 0.02. What is the closest to a in -4\/5, j, 3\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 4. Let g(u) = u - 1. Give -2*g(p) - s(p).\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*2*6\/15. Solve -z + 3*c - a = 4*z, 4*c = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d. Let n(z) = -4*z**2 + 6*z. Let i(f) be the third derivative of f**5\/15 - f**4\/3 - 49*f**2. Let r(t) = -3*i(t) - 4*n(t). Give w(r(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -228, -2, 0, 3 in ascending order.\nAnswer: -228, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -850.0183 - -850. Round x to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 16) to base 9.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(5 - 2) + 182\/(-175)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182*((-6751)\/(-602) - 11).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 13 - 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69663.\nAnswer: 3, 11, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from rmxm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(10\/8))\/(-1). Suppose 1 = -g*p - 3. Put p, 1, -2 in decreasing order.\nAnswer: 1, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -36. Suppose u = o, a + 2 = -5*o + 10. Does 32 divide (2\/5)\/(a\/1280)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5555716 nanoseconds to minutes.\nAnswer: 0.00000000004259286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-2\/15))\/a**1*a\/(a*a**(-4))*a**(-2\/9)*a**(-1)*a*a*a\/(a*a**4)*a*a*a**6*a**(-1\/2) assuming a is positive.\nAnswer: a**(823\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 g, and 1 b when four letters picked without replacement from {g: 1, b: 4, i: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -36*l**2 - 54*l + 42. Calculate z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 821897626 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*f, 69 = 2*t - t + 4*f. Is 44 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*j = 8*r - 4, 2*j = r - 4. Suppose v - 6 = -r. Suppose -217 = -4*c - m - 4*m, 0 = -v*c + 5*m + 207. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159148, 159147, 159146, 159145, 159144, 159143?\nAnswer: 159142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323 + 324. Which is the biggest value? (a) 36 (b) 0 (c) q (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(112))**2*6 - (5 + (-1*sqrt(42))\/sqrt(6)).\nAnswer: sqrt(7) + 2683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 62 and 62 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 662743608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -692 divided by -692\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1892728*n + n**3 + 0 - 5437*n**4 + 1892729*n as m*n + k*n**2 + u*n**4 + l*n**3 + w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 11) in base 3?\nAnswer: 20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 - 10882.08?\nAnswer: -10882.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 245.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 32*k**2 - 5*k + 15. Let s(w) = 9*w - 168. Let y be s(18). What is the tens digit of l(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 431*y + 59*y - 7217*y - 15120 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.84 + 0.91. Let r = 0.13 + s. Let j = -0.4 - 0.1. What is the nearest to -2 in r, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 47*b + 59. What is i(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23798 - 1204 = 26*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvvvvvvvvvvovovovv.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 206 and 6788.\nAnswer: 699164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0263167 and 28981690.5?\nAnswer: 28981690.4736833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 16 - 4)*(4*z + z + 2*z)*(z - z + z)*(-z - 4*z + z).\nAnswer: 616*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 342211675103?\nAnswer: 342211675102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 11*i + 6*i**3)*(2*i**2 + 2*i - 2*i) + (0 + i**2 + 0)*(-5*i**3 + i**3 + 2*i**3) + 3*i**5 - 2*i**5 - 4*i**5.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5144 - 6.7005. Round v to 2 decimal places.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15955*q**5 + q**3 - 18547*q - 5 wrt q?\nAnswer: 319100*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = l + 13, -3*c - c + 29 = l. Let f be (-75)\/c*24\/(-15). Is 10 a factor of f\/(3*2\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 7*p + 8. Let q(j) = j + 8. Let y be q(0). Let o be x(y). List the prime factors of (0 + (1 - o))*20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1753*g*m**2 + 2*g - 18*m**2 + 8125 wrt m?\nAnswer: -3506*g*m - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**3\/6 - 7*f**2\/2 + f. Let j be w(-6). Is (j\/3)\/((-3)\/225) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z + 1588 - 1628 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -514 + 518. Find the second derivative of 2 - 2*v - 6 + v - x*v - 65*v**2 wrt v.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3897, 7606, 10961, 13788, 15913, 17162?\n\"Answer: -29*p**3 - 3*p**2 + 3921*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*f + 185*f - 256*f + (0 + 0 + 1)*(-f + 5 - 5) - 2*f + 5*f + 2*f + 0*f + 2*f - f.\nAnswer: -170*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 106 = 44*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i, -3*i = -5*f - 0*f + 14. Let d be 26\/(-8) - (f + -6). Let p = 0.0664 + 0.9336. What is the nearest to p in d, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*h - 16 + 25, 4*h = 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = w - 23, 2*w + 2*w + 3 = 3*q. Suppose -2*v + 394 = -f, -w*v - f + 6*f + 598 = 0. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8 = f + 4*k, -f + 5*k = 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 550.4165m?\nAnswer: 0.5504165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-360))\/((-14)\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 18 = 4*f - 4, 3*s - 3*f = 21. Which is bigger: s or -16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150134*i + 75078*i - 3 + 75094*i.\nAnswer: 38*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -21. Let m(w) = -8 + 13 + w - 4. Let y(x) = -a(x) - 18*m(x). Differentiate y(h) with respect to h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**8\/2856 - q**7\/1785 - q**6\/204 + q**5\/102 + q**4\/51 - 4*q**3\/51 + 52*q**2. Let m(x) = 0. Calculate x.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m - 1. Let v(b) = 32*b**2 + 60*b + 30. Let n(t) = -4*h(t) - 2*v(t). Factor n(f).\nAnswer: -4*(f + 1)**2*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5527 or -5526?\nAnswer: -5527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 2*u - 1. Let n be a(1). Solve 8 = 3*v - 5*x, 0 = -2*v - 3*x - n - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, p: 3, d: 2, o: 1, f: 1, a: 2}. Give prob of picking 1 d and 2 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*a = 152 - 137, -4*f - 2*a + 12 = 0. Put f, -0.7, -5, -3\/7, -26 in ascending order.\nAnswer: -26, -5, -0.7, -3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -2*3\/(-2). Suppose -x - x = 4*c - 210, 5*x = g*c - 99. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - sqrt(85)*1)*4)\/(3*sqrt(45)\/sqrt(9)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 6. Let j(q) = 76*q - 20. Determine 2*i(g) - j(g).\nAnswer: -78*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 72)\/3 + -1. Let x = 7 + -4. Suppose 7 + 8 = x*r. Solve 2*b = -5*t + 3*b + l, -2*b = -r*t + 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 1164303 = 2*b + 374142. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*j = -10, -22 = 3*u + 8*j - 4*j. Let d be ((-7)\/3 - u)*-6. Solve -4*r + 1 = -4*x + 5, -x + 2 = -d*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 - 1586*t**2 - 417632*t - 36533376 = 0.\nAnswer: -297, -248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + a**3 + 5*a**3)*(-10 - 7 + 4).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m + 190*m + 924 = 7164 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9653253 or 9653254?\nAnswer: 9653253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -168a834 (base 11) in base 5?\nAnswer: -1213304220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + n - n + (-n - 3*n + 3*n)*(6 - 2 - 3) - 2*n + 3*n + n + 1 + 3*n - 1 + (0*n + n - 2*n)*(5 + 0 - 3) + 3*n + 0*n - 5*n - 3*n + 2*n + 3*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 3. Let h(n) = -n**2 - n - 4. Determine -6*h(q) - 7*s(q).\nAnswer: -q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 50.3349?\nAnswer: -654.3537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 348*z + 619. What is the least common multiple of 11 and t(10)?\nAnswer: 45089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*w = 1697*w - 3952 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppofjdc. What is prob of sequence fcp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 507*b**3 - 5*b**2 + 5*b - 2733. Let k(i) = i**2 - i - 1. Let x(t) = 5*k(t) + s(t). What is the first derivative of x(a) wrt a?\nAnswer: 1521*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/110745 and 51\/356845.\nAnswer: 3211605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 661\/13 - 51. Let y = -0.11 + 0.2. Let i = -4.09 + y. Which is the nearest to 0.1? (a) i (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358442167?\nAnswer: 16603, 21589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*s - 4*k, -s + 5*k + 2 = k. Let p be (s\/9)\/((-16)\/(-72)). Put 2, p, 4, 3 in increasing order.\nAnswer: p, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, -1, 7, 4, 1 in decreasing order.\nAnswer: 7, 4, 1, -1, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(6\/(-2)) - -2. Suppose -3*k + 3*x = -198, k - 183 = -2*k - 2*x. Calculate the greatest common divisor of o and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 42 = -y - 18, 7*x + 4*y - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81\/2, 0.5, -2\/3, -1\/4 in descending order.\nAnswer: 81\/2, 0.5, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 29*r + 8. Let t be u(2). Let j = t - 61. Solve 6 = -0*h + h - 2*c, 15 = -3*h - j*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - (-18)\/216. Let c = -13\/12 + 3\/4. What is the nearest to a in 0, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2594 - 2523 + 5161 - 2*r**2.\nAnswer: -2*r**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 35 = -1. Suppose l + 15 = -4*q, -l + 3*l = 4*q + k. Let p be (3 - (0 - q))*-4. Put -3, -1, p in decreasing order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + v**2 - 3*v + 2. Let c be i(1). Solve -5*a + 25 = 3*r, 3*r + 2*a = -c*r + 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58045678 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u. Let q(f) = -f**2 - 17*f. Give -q(g) + 6*r(g).\nAnswer: -5*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 16286110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3*o**2\/2 - 12. Let u(d) = 4*d**2. Calculate u(r(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2 - 3. Suppose -q - 15 - 58 = -4*b, 5*b = -c*q + 60. Let r be (35 - 1)*(-16)\/(-4). Calculate the greatest common divisor of b and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1989556 rounded to one decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 6:17 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**5\/17 + 40*m**4\/17 + 94*m**3\/17 + 84*m**2\/17 + 8*m\/17 - 16\/17 = 0. What is m?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20096 - 20092. What is the fourth biggest value in -56, -1\/4, 3\/2, d?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -112010, -82 in increasing order.\nAnswer: -112010, -82, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = 4*v - 4*m, 0 = -5*m - 15. Suppose -3*s + 2 - 8 = 0. Put s, -3, 5, v in decreasing order.\nAnswer: 5, v, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - -1 - (-324 + 347)) + (39 - 1)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 3, k: 3, t: 1, u: 2, b: 7}. Give prob of picking 2 q and 1 b.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2 + 21 = a, -h - 13 = -4*a. What is the units digit of 790\/(2 + h) - (0 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y - 1. Let q(b) = b**3 - 13*b**2 - 10*b - 5. Let a(s) = -q(s) - 2*x(s). Is a(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*d - 35, -2*d + 12 = -2*q + 2*d. Suppose -x - 2805 = -2*x - q*t, 5*t + 5 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -16 + 10 - -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (68\/(-6))\/((-22)\/561).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3*r**2 + 3*r - 33 + 15*r = 0. What is r?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/88 and (-4)\/(-28)*1855\/50 - -2.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739 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: Simplify (1*sqrt(17)*5*-6)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*33\/(-99)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m - 48 + 120 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -67.59588 + 374\nAnswer: 306.40412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-230))\/((783\/116)\/3*(-8)\/15)\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 668 - 3836. What is the smallest common multiple of f and 9?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 4*q**2 - 4*q - 1. Let u = 661 - 459. Let s = 199 - u. Determine j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 9) in base 6?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5 - 3*d + 0*d + 4*d. Suppose 8 = -4*b + 2*w, 2*b + 24 = -5*w - 4. Give h(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1294.\nAnswer: 5176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -v - 4*w + 95, -v + 2*w = -131. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -110.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 138\/(-184)*38872\/(-6). Calculate the greatest common divisor of u and 258.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppe when three letters picked without replacement from {p: 5, e: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t. Let x(u) be the second derivative of -6 + 0*u**2 + 0*u**3 - 12*u - 1\/2*u**4. What is y(x(q))?\nAnswer: -102*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by 5\nAnswer: 139\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 5\/3, -0.5, -1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**2\/2 + 121. Let f be ((1 - 0) + 1)\/1. Let a(i) = 1 + f*i**2 - 1. Give o(a(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - (-20)\/9) + (-31976)\/(-126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:13 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/253 and 56\/891?\nAnswer: 20493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 + 24 = 0. Solve b - 6*b = -2*z - c, z - 11 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133097 - 0.056551.\nAnswer: 133096.943449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4321 = -14*k + 4167 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*q - 1 + 15, -5*n + q + 146 = 0. Suppose -3*w - 63 = -3*d, d - 6*w = -2*w + n. Let m = d - -11. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5597979 is divided by 120.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15793, -19, 2, 5.\nAnswer: -19, -5, 2, 5, 15793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -38057*i + 99. Let h(s) = 28543*s - 72. Determine 11*h(q) + 8*y(q).\nAnswer: 9517*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 23*g**2 - 27*g + 88. Let w = -278 - -424. Let n = w + -85. What is the remainder when n is divided by p(24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1959 is divided by 633?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*s + 339 = -168*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 0*k - 2 + 2*k. Let v(i) = -2*i + 1. Let p(z) = -5*q(z) - 6*v(z). Let m(j) = 4*j - 5. Suppose 2*d - 2 - 2 = 0. Determine d*m(g) + 3*p(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y**(2\/29)*y*y)*y)*y*y**(5\/3))\/(y**(-2\/3)\/y*(y\/y**(-11))\/y))**(24\/7) assuming y is positive.\nAnswer: y**(-3200\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-694)\/(-87))\/1 + 516640\/(-64580)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67280, -67950, -68622, -69296, -69972, -70650?\n\"Answer: -o**2 - 667*o - 66612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -901*p + 896*p - 30 = -5*k, k + 12 = -5*p. Let i = -2 + 3. Which is the nearest to p? (a) -33 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1792, 1793, 1794, 1795, 1796?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4517 + -22714\/5. Let x = 391\/15 + s. Factor -x*v + 2\/15 + 2\/15*v**2.\nAnswer: 2*(v - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 891025.4mg?\nAnswer: 891025400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 0. Suppose 5*b - 145 = -g*b. What is the common denominator of -39\/10 and (b\/6)\/(10\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -37.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 28 = 5*b, -4*b + 12 = 2*f - 3*f. Suppose b*q = -1 + 9. Solve q*i + 3*j = 2*j + 2, 2*j + 14 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9474674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**(-1\/11)\/((o\/(o*o**(-5)))\/(o*o**(-3\/5)\/o*o*o*o)) assuming o is positive.\nAnswer: o**(-141\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -4462349778386.\nAnswer: 4462349778385.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + 6 + -6 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 15254?\nAnswer: -15253.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-4)**2*5.\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2445, 1\/9, 2\/21 in increasing order.\nAnswer: 2\/21, 1\/9, 2445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 + -151. Solve q*k + 15 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 270*t**2 + 18*t - 5002. Determine m(270).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*j + 3*t - 27, 0 = 5*j - 4*t - 31. Solve -12 = j*r + 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121661, 242584, 363507, 484430, 605353, 726276?\nAnswer: 847199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3414 and 1090204.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s + 11. Suppose 3 + 12 = 3*d. Let z(w) = 11*w - 6 - d*w - w. Let u(m) = -6*f(m) - 11*z(m). Let x(t) = 4*t. Calculate u(x(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 - -0.9. Let g = q + 0.4. Let j be 13 + 85\/(-15) - 7. Which is the third biggest value? (a) -2 (b) 2 (c) j (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6500350 is divided by 144451.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(10\/(-70) + 0). Let r(x) = -2*x - 3. Suppose -2*v - 11 = -3*z, -2 - 10 = -3*z + 3*v. Let j(f) = f + 1. Calculate g*r(q) + z*j(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((254\/1016)\/((-2)\/8))\/(13\/91)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*x - 0*v - 43, x + 4*v = 9. Put x, 0, -0.3, -5 in decreasing order.\nAnswer: 0, -0.3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 373 = -97. Suppose 15*u + q = 594. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z**2. Let c(u) be the third derivative of -u**4\/12 + 13*u**2. Calculate c(v(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (0 - 2)) + 9 + -51 + -7 + 2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 10:20 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16036 - 224397\/14. What is the common denominator of 5\/8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1033*y - 4*y**2 - 2068*y + 1035*y - 214 + 5*y**2 + 3*y**3 to the form v*y**2 + k*y + w*y**3 + j and give j.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -399*b**2\/2 - 2391*b\/2 + 9 = 0. Calculate b.\nAnswer: -6, 1\/133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 23*f - 59. Calculate k(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1374362 and -91\/57996.\nAnswer: 222646644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-1)\/(-3 + 2). Suppose o*p - 22 = 2*p. Calculate the remainder when 65 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((3\/9)\/((-4)\/72))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 - u**3 - 12*u - 9*u**2 - 7 - 9*u**2. Let f be b(-11). Find the third derivative of -3*h**2 - h + 2*h**f + h wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7684504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*q + 3731*k**3 + 6*k*q - q - 4 wrt k?\nAnswer: 6*k*q + 22386*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 779\/5 + -2817\/5. Let y = j - -414. Find the common denominator of 13 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -16)*(-3)\/10. Let k = -33\/10 - x. Let o = -4\/43 - -59\/172. Put k, o, 0.1 in descending order.\nAnswer: k, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i. What is the third derivative of -2*q**3 - 7*q**4 + i*q**2 - 15*q**4 + 38*q**2 wrt q?\nAnswer: -528*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -200 - 196. Let a = -8 - -20. Calculate the greatest common factor of a and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12596 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from {j: 7, v: 1, q: 4, o: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 23368030?\nAnswer: 23368041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, -4, 3.\nAnswer: -36, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7 + 1 - 1 + i. Let n be d(-4). Suppose -n*w + 1 = 4. Is -1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 6 - 52*v + 21*v - 3 + 13*v. Determine d(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*y**2 + 6\/7*y + 0 + 2\/7*y**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 53, 111, 215, 377, 609, 923?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -36*h**2 - 21*h - 22. Let a(j) = 5*j**2 - j - 4. Determine -5*a(s) + m(s).\nAnswer: -61*s**2 - 16*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56506.\nAnswer: 2, 19, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 10120*c**3 - 40492*c**2 - 40496*c.\nAnswer: c*(c - 10124)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 2*s**3 - 4*s**2 + 7*s**2 + 4*s**3. Give l(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 21 + -17 + (1 - -37).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -780*b + 781*b - 17, -176 = -24*n + 2*b for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:29 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -414 - -718. Let f = v - 286. Calculate the remainder when 50 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 83210*g + 6892652.\nAnswer: 2*(g + 83)*(g + 41522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 63, -2 in increasing order.\nAnswer: -2, 2, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 - 234.4. Which is the nearest to 6? (a) -1 (b) -3\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 13. Let t be v(-10). Is t\/(6 - (-25235)\/(-4207)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 26 = 5*s, 4*h - 199 = 2*s - 179 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**6\/360 + r**5\/24 - r**4\/4 + r**3\/3 - 4. Let s(y) be the third derivative of q(y). Determine s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79a0885 - 4?\nAnswer: -79a0889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.498, 8, -4\/7, -6\/11, -437 in ascending order.\nAnswer: -437, -4\/7, -6\/11, 0.498, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45539 + -20400. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -13716.\nAnswer: 1\/4572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110884?\nAnswer: 2, 7, 111103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -522490 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 4*t**2 + 4*t + 3. Let n be w(-2). Suppose 3*p = 3*r + 6 + n, -25 = -5*r - 5*p. Suppose 2*y = r + 9. Solve 0 = -y*v - 10 - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (384*m**2 + 57*m**3 - 763*m**2 + 379*m**2)*(6*m + m - 8*m) to the form l*m**4 + f*m**3 + i + k*m**2 + a*m and give l.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 37*d - 6300 = 25*d - 92*d for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - 31. Let r = 68 + w. Let t = -6.075 - r. What is t rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*t + 90 + 33*t + 39*t - 90.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 825804*o**2 + 1066663*o wrt o.\nAnswer: 1651608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1670945 - 1670945 + 2*d - 947*d**2.\nAnswer: -947*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 58. What is the remainder when 53 is divided by v(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 27 + 31. Let n be (3\/j + 2)*(-3 - -7). Find o, given that 0*o + 0*o**n + 5*o**3 + 0 - 5\/2*o**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -554266573*u**2 - 117044665*u?\nAnswer: -1108533146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72606895?\nAnswer: 5, 67, 73, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 242275637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, w: 6}. What is prob of sequence cwww?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -16 + -5 + 23 + 3 - (129 + -2)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + (1 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 + 6*o + 6. Suppose 2*d = -5*b + 22 - 2, -3*d + 9 = 4*b. Let x(y) = -y**2 + y + 1. Determine b*x(k) - i(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - b**2 + b - 3. Let w be m(2). Solve -w*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133.\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 1\/3, 4, 5.\nAnswer: -0.4, 1\/3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 31 = -4*j, 5*j - 804*h - 15 = -803*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 30 + (1 - 12) - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(119 + -7))\/((-42)\/(-126))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/43843231 or 0?\nAnswer: -11\/43843231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 56 = -0*t - 2*u, 0 = -2*t - 3*u + 115. Calculate the remainder when t is divided by (-6)\/(-99)*3 + 141\/11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 33?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -15. What is the third smallest value in 0.2, 0.1, u, 1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Let r be 8\/4*(-12)\/(-8). Suppose r*x + 9*m - 4*m = 117010, x = t*m + 38996. Round x to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = h, -12*z = -4*z - 4*z + 5*h. Let k(a) be the second derivative of z + 0*a**2 + 1\/3*a**3 + 12*a. Let p(j) = -12*j**2. Determine k(p(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 - 8*u - 37)*(27*u - 27*u - 56*u**3) as v*u**4 + l*u + b*u**2 + d + t*u**3 and give v.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -142. Let m = a + -55. Solve m*z - 3*c = 6, 0 = z + 5*c + 34 - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-8) - (-4)\/2. Suppose n + 2*x = 7, 11 = d*n - n + x. What are the prime factors of (-422)\/n*25\/(-10)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 1.2. Let k = 262.46 + -260. Let g = k + 2.54. Is g less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -27. Let y = w + -15. Suppose 8*n - 3*b = 5*n + 12, -y*n + 47 = 4*b. Solve 11 = -4*x + 3*h, -2*x - h = -4*h + n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26*d + 2 + 4 - 4. Let o(c) = -c**3 - 17*c**2 - 16*c - 257. Calculate the remainder when f(-2) is divided by o(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9628.3 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 25 = 73. Let b be (-3)\/(63\/w)*(2 - 9). Let i(j) = -j**3 - 2*j**2 - 4*j - 3. Calculate i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:46 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 16, -1\/6, 23, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 4*z**2 - 5*z - 3. Let y be q(-4). Suppose -120*c - 58 = -122*c. Suppose -c = -w - y. Solve 3*r + r = w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58706 - 58711.90075. Let x = p + 5.9. Round x to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 9. Let g be q(4). Let l(h) = -3*h + 7. What is the lowest common multiple of 9 and l(g)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2267 + 2265.5. What is the biggest value in 2\/59, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23182315.4 plus -0.1?\nAnswer: 23182315.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(300) - sqrt(300)*-2) + sqrt(51)\/sqrt(3)*4 + 0 + sqrt(153))**2.\nAnswer: 191012\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2\/3*o**6 + 0*o**5 + 63 + 0*o**3 - 15\/4*o**4 - 65*o**2 + 0*o. What is the second derivative of z(m) wrt m?\nAnswer: 80*m**3 - 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 19 + 12 = 0. Suppose 46 = 3*p + c. Solve -p*m = -9 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(103*j + 84*j - 102*j)*(-3 - 3*j + 3).\nAnswer: -255*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/77413 and 107\/33110646.\nAnswer: 231774522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19587325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.65 + -0.549. What is r rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 18 = -4*s, 6 + 9 = 2*g + 3*s. Suppose g*q - 1514 = 40*p - 39*p, -4*p = -2*q + 1016. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8986 + -8982. Solve k = -3*d + y, 4*y = -5*d - 0 - 35 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119c (base 13) in base 15?\nAnswer: b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 + 156*p**2 - 2 - 154*p**2 - 2*p + 9*p**4 + 2*p in the form u + l*p + j*p**2 + w*p**3 + q*p**4 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**3 + 2*y**2 + 2*y + 2. Let b = -308 + 306. Let w(q) = 46*q**3 + 11*q**2 + 11*q + 11. Calculate b*w(n) + 11*o(n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/2*18\/(-15). Suppose l - j*l + 4 = 0. Suppose 2*g = l*x + 4, x - 8 + 0 = -4*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6603 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -325, -1285, -2881, -5113?\n\"Answer: -318*p**2 - 6*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 6, 2*l + v - 143 = l. Let j = l + -153. Let f(a) = -5 - 7 + a - 4*a. Determine f(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 200030.2 nanometers?\nAnswer: 0.2000302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**3 - 5*n**2 + 5*n - 12. Let h(w) = 8*w**3 - 4*w**2 + 4*w - 11. What is 5*h(t) - 4*p(t)?\nAnswer: 8*t**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, x: 5}. Give prob of picking 4 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107415 and 224?\nAnswer: 3437280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -847, -1687, -2523, -3355?\nAnswer: -4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 + 459178*i - 918348 = 0.\nAnswer: 2, 229587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 3 (c) -0.2 (d) -2 (e) -336\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/11, -4, 0.2, -5, -15.77?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 - -0.35. Let l = -7 + 3. Let t = -3.6 - l. Put x, t, -3 in ascending order.\nAnswer: -3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7627 - -20144. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4\/7 - 24*z**3\/7 - 36*z**2\/7 + 16*z\/7 + 48\/7 = 0. Calculate z.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t + 5. Suppose -3*q = -t*q. Let z(c) = -34*c + 1237. Let x be z(36). Solve 4*n + x - 5 = q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6161241 litres?\nAnswer: 616.1241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 511627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613, 1169, 1725, 2281?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 87*x - 7812 = 0. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1336037*k + 2. Let y(v) = 2*v**2. Calculate u(y(z)).\nAnswer: -2672074*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 - 11*x**4\/24 - x**3 + 4*x**2. Let t(v) = v**3 - 8*v**2 + 5*v + 6. Let p be t(7). What is the tens digit of m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 53 - 13 = -6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfllppvfflffwvlxf. What is prob of sequence pp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3978 and 152118.\nAnswer: 156096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.98 - -3.98. Let a(o) = 16*o**2 - 2*o. Let h be a(2). Let w be (-3)\/(-12) + (-63)\/h. What is the nearest to m in 2\/9, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 3*g**2 - 3*g**2 + (-58*g - 49*g + 17*g)*(4*g - 4*g - 3*g) to the form i*g + v + l*g**2 and give l.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/2, 4\/3, 1\/4, 2, 1\/3, -985773?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/50*(-4 + 92\/6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3)**(-35\/2)*(n*n*n\/(n*n*n\/((n*n\/(n*(n*n**1)\/n))\/n)*n)*n)\/((n\/((n*n\/n**(-12))\/n*n))\/n) assuming n is positive.\nAnswer: n**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3626*t - 79. List the prime factors of k(1).\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5072 = -2*b, -8*n + 25374 = -3*n + 4*b. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10446)\/20892*((-2)\/(-2) - 77)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 11*p - 1\/3*p**3 + 7\/2*p**2 + 20. Let h be g(8). Solve 4*o - 4 = h*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81438, -81545, -81652?\nAnswer: -81759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5264.9802 rounded to the nearest 10?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 4*l**2 + 31*l**3 + 6*l**2.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*l**2*m*y**2 + 2*b*l**2*m + 5*b*l**2 - 29*b*m*y**2 - 2*l*m*y**2 - l*m*y wrt l.\nAnswer: -2*b*m*y**2 + 4*b*m + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 279 - 293. What is the thousands digit of 37\/((i\/21)\/(56\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*z + 25, -2*b = -7*b + z + 40. Calculate the remainder when (26\/(-6))\/(6\/(-18)) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 682*f*r**3 - 10150*f*r + 1461*f + 269319*r**3 - r**2 wrt r?\nAnswer: 4092*f + 1615914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 44*r**3 + 66*r**2 + 272*r + 160.\nAnswer: 2*(r - 20)*(r - 4)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -30) + -6*7\/(-168)*-8. Solve j + 3*m - 2*m - 1 = 0, -3*j - k = -4*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(224))*6 + sqrt(56))\/(-6*sqrt(40)\/sqrt(5)).\nAnswer: -19*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h - 10 + 2 + 3 + 1 as u*h + p and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 8*k - 13. Let i be n(5). Solve i = -3*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2. Suppose 18 = 3*i - 12. Suppose -5 - i = -3*u. Let g(r) = 2*r - 5 + u. Calculate z(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2728887 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-4 - (-4 + 4)). Suppose -6 - 13 = -4*h - 3*s, -3*s = h - 7. Solve f - 2 = -h*r, -6*f = -d*f - 3*r - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 4*u + (-2 + 1 + 0)*(-2*u + u + 0*u) - 2*u + 1 - 1 - 2 + 3*u + 2.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7438792 + -15?\nAnswer: -7438807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*z = -144*z + 44. Solve 2*l = -4 - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2*q**2 - 10077*h**2 + 5*h*q**2 - 4*q**2 - 32*q wrt q?\nAnswer: 2*h**2*q + 10*h*q - 8*q - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 13033?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*b + 486*b - 320*b + 385*b - 246*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1584) + 4 - (-2*sqrt(1584) + sqrt(1584))*3)**2.\nAnswer: 384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161276 = -141*m + 158315 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55407 by 18469.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/70 + n**5\/10 - 3*n**2. Find the third derivative of r(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = -3. Let v = i - -2. Let w(l) = -3*l - 4. Let t(j) = -3*j - 3. Let u(f) = v*w(f) - 4*t(f). Let o(g) = -2*g**2. Give u(o(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvq when four letters picked without replacement from {v: 3, q: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18 + 17 + (-7)\/(-1). Suppose -24 = -3*o - r. Calculate the smallest common multiple of 4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -107. Let s = 57 - 46. Calculate the highest common factor of k and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121858.\nAnswer: 2, 11, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-2 + (-180)\/(-20). What is the third derivative of 6*d**2 - l*d**3 - 41*d + 41*d wrt d?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2. Let r(t) be the first derivative of 2*t**2 + 3. Determine q(r(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(1331) + -2 + (sqrt(1331) + sqrt(1331) + 6*(2*sqrt(1331) + sqrt(1331)))*2)**2.\nAnswer: -1804*sqrt(11) + 2237415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(84\/(-4)) - (-2)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -862 + 861. Which is the closest to 0.01? (a) 1 (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 7) to base 13\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from npdgcph?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0\/t)**(-12)*(t*t**3)\/(((t\/(t*t**(1\/3)))\/t)\/t) assuming t is positive.\nAnswer: t**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -57, -62?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, m: 3, z: 6, h: 2, j: 1}. What is prob of picking 3 z and 1 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148309, -148299, -148289, -148279?\n\"Answer: 10*k - 148319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -5.25.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 48*x**2 - 264*x + 37. What is u(-53)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(384)\/sqrt(12) - -2*-5*sqrt(6)\/sqrt(3).\nAnswer: -6*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 divided by 33?\nAnswer: -83\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 151 - 51 = -24*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + q**2 + 12*q + 2. Let b be j(4). Suppose -10*n + 6*n = -b*d - 1284, 3*n - 952 = -4*d. Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -416, -400, -380, -356, -328?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 817 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*w + 116 = -217*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23623686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132434 (base 7) to base 4.\nAnswer: 12011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/9 + 456*q + 106028\/9 = 0. What is q?\nAnswer: -4078, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from llslllslllslss?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55.001 + 0.001. Let k = -70.68 + 15.81. Let u = k - i. What is u rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c - 8 + c - c + 2*c - 8*c. Let h(n) = -12*n - 8 - 1 - 8. Let a(r) = -3*h(r) + 5*i(r). Differentiate a(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(48)\/(sqrt(12)\/sqrt(2))) - (sqrt(11) + (sqrt(11) - 1*(sqrt(11) + -1)) + sqrt(11) + (sqrt(220) + sqrt(55))\/sqrt(5))**2.\nAnswer: -276 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 347691 plus 15064525?\nAnswer: 15412216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 2 = 12*s. Which is bigger: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22247 + -45053. Round a to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19765 and 5.\nAnswer: -98825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149836 by -74918.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w. Let h(a) = 2*a**2 + 1225932*a. Give j(h(v)).\nAnswer: -20*v**2 - 12259320*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**2 - 80*z + 3. Calculate o(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 7*k + 5. Let x be n(8). Let l = x + 4. Is -2\/13 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from iiccccccii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 10 - 39*b**2 + 6.\nAnswer: -39*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4413 or 4239?\nAnswer: 4413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -46.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l**25\/l)*l)\/l**23)\/(l**(-15)*l**(-15)))**(-2\/139) assuming l is positive.\nAnswer: l**(28\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 12110?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8402 is divided by 8389.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 5.1. Suppose 5*g - 4*w = -38, g = 3*g - w + 17. Let j be (-16)\/42 + g\/(-15). Which is the closest to j? (a) 3\/7 (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410 divided by -90?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -18, -22, -40, -78?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -103*t - 22. Let m be s(-2). Let i = 328 - m. What is the highest common divisor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 2. Let c be b(5). Let f = c + -9. Let s = -2 + 1. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or -283227?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/14146055 and 78\/1324015.\nAnswer: 268775045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154162 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643256631.\nAnswer: 3, 79, 904721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(20) + sqrt(720)*1 + sqrt(5)) - (-6*(-1 + sqrt(720) + 5))**2.\nAnswer: -26496 - 3462*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 2. What is the least common multiple of g(11) and (2*20\/(-24))\/(15\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 3:16 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/11, 0.4, 1728?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 + 20470*b**2 + 2400754*b + 7017978 = 0. What is b?\nAnswer: -113, -3, 10351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121636111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - -79 - (-9)\/288*16*12\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115178, -230452, -345826, -461294, -576850, -692488, -808202?\n\"Answer: w**3 - 56*w**2 - 115113*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*f + 1104 = 1130, 0 = 4*x - 2*f + 16. Let a(g) = -g + 4. Let m be a(4). Sort 3, x, m.\nAnswer: x, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10250710 and 21510?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -1726871 + 305435. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/9*19*(-14)\/(-49)*390\/1300?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -100.9. Let s = k - 30.4. Let d = 0.06 - 2.06. Which is the nearest to -2\/7? (a) 3 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (76\/(-8) - 8)*2. Which is smaller: p or -246\/7?\nAnswer: -246\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 516 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 25. Calculate the greatest common factor of 90 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26103, 26152, 26201, 26250, 26299?\nAnswer: 26348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 64*s**2 - 8*s - 7. Let t be z(-1). Suppose 62*b - t*b + 363 = 0. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 + (-2 - -4 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.27 + -0.27. Let l be 4\/8 - (-22)\/(-4). Let x = 5.5 - 0.5. Sort x, i, l in descending order.\nAnswer: x, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3701 - 3677. Calculate the highest common factor of p and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263507 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u + 7. Let l be w(5). Let r(g) = 6*g**2 - 2*g - 4. Let o be r(4). Calculate the highest common divisor of l and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 163 = k + k + 3*c, 12*k + 14*c = 12*c + 182 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 11\/5, 4, 46, -0.02?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/4 + 23*p**3\/6 - 7*p**2\/2 - 694*p. Let t = -11 - -23. Is h(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5422 + 37393. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3885)\/1110 + (-232907)\/(-2). What is y rounded to the nearest 1000?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-11 - 2 - (-747 - -776)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let m(n) = n**2 - 4*n - 758. Determine m(j) + 4*t(j).\nAnswer: j**2 - 758","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {e: 1, o: 1, m: 1, r: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -20. Let p(b) be the first derivative of -2*b**3 - 9*b**2\/2 + 63. Let w(m) = -9*m**2 - 14*m. Calculate o*w(d) - 8*p(d).\nAnswer: 3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3099\/2 - 1587. Let c = 18 + -36. Find the common denominator of 3\/c*(-150)\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -0.267.\nAnswer: -8.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s - 12. Let x be (8\/(-6))\/((-1)\/(-6)). Let b be z(x). Let u = 26 - b. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 8) to base 4.\nAnswer: 20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 1076, 1615?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + -76. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*s + 30782 = 188*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 17, -3, 10, -0.4, 2, 745?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184 + 187. Solve -u*b + 8 = 3*p - 2*b, 3*p + 3*b = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/13)*d**(-1\/21)\/d*d**(-23)*d**(-13) assuming d is positive.\nAnswer: d**(-10156\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -984*o + 440817. Calculate t(448).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 5 (c) 3\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhd when three letters picked without replacement from dddddddhddddhhd?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 20 = -3*x. Let v = 1 + x. Calculate the remainder when 1*-6*(-16)\/3 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 - 2. Which is the smallest value? (a) -2 (b) t (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (2 - 1) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335 by -32.\nAnswer: 1335\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from {g: 2, l: 2, i: 10}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 7*o = 4. Let y(h) = -o*h - 14 - 6*h + 21 - 9. Is y(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h**5 + 105035*h**4 - 595645*h**3 + 245365*h**2 + 595630*h - 350400 = 0.\nAnswer: -7008, -1, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/7, 37, 4, -43 in decreasing order.\nAnswer: 37, 4, 1, -2\/7, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 13*z**3 - 2 + 6*z**3 - 8 - 14.\nAnswer: -7*z**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*y = 268*y + 144*y + 31*y - 8772 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 200 - 76 - (-996635)\/(-8037)\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 335a7 (base 12) in base 4?\nAnswer: 100222033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1256074ml in litres?\nAnswer: 0.0001256074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (40\/(-50))\/((-2)\/110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169951 is divided by 6067.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, a: 1, j: 5, f: 4}. What is prob of picking 2 f and 1 w?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*q + 12, -10 = -9*h + q - 11. Sort 44, 4, -105, h in ascending order.\nAnswer: -105, h, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + x)*(-x - 2*x + x) + (5*x + 0*x - 3*x)*(2*x - 3*x - x))*(x + 23*x + 0*x).\nAnswer: -144*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3 + 2. Let o = f - 31. Let v = -32 - o. Let r(j) = j**2 + 6*j + 2. Calculate r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -5*p**4\/12 + p**3\/6 + 2*p + 15. Let y(v) = -v. Calculate j(y(b)).\nAnswer: -5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*95370.\nAnswer: 38148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 652*u**2 + u - 5. Suppose -s - 2*s + 6 = 0. Is p(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252727 (base 9) in base 5?\nAnswer: 14343303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 26*f + 8 + 48*f. Suppose 139 = 12*l + 79. Is d(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31517926.\nAnswer: 2, 11, 89, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by 1.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414930 is divided by 11855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -606\nAnswer: -424.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + n**3 - 4*n**2)*(-4*n + n + n) + (1 + n**2 - 1)*(-n**2 + 2*n**2 - 2*n**2) + 10*n**4 - 3*n + 3*n - 246*n + 44*n**4 + 246*n.\nAnswer: 51*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in 3\/7, 1\/245, -28, -3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*w - 10*w. Suppose 380 + 397 = w*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -11. Suppose 0 + 2 = 3*i - s*o, 0 = 2*i - 2*o - 4. Suppose 49 - 265 = -i*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 17. Is l <= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x**2 - 8*x**2 - 10*x**3 + (4*x - 4*x + 2*x**2)*(-1 + 1 - 2*x) + 0 + 0 + x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - ((-2*sqrt(95))\/sqrt(5))**2 - (1*(sqrt(19) + -2*sqrt(19)))**2.\nAnswer: -95 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2606*p - 448*p - 149820 = -330*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + p + 12 = 12*m, -2*m + 9 = -p. Let z(a) = -2*a**3 - 4. Let g(r) = -3*r**3 - 3. Give m*z(d) - 4*g(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 807*n + 4672. Calculate y(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 80936978 - 80937164 + 2*k**2.\nAnswer: 4*k**2 - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 2*c + 1. Let a(l) = 202*l**2 - 6*l - 5. Determine a(f) - 3*w(f).\nAnswer: 187*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-632)\/(-88) - 7 - 31\/(-11). What is the third smallest value in 1\/2, 2, v, -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4108530, -4108496, -4108462, -4108428?\n\"Answer: 34*g - 4108564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 4*r - 717*r**3 + 733*r**3 - 70 + r**2 + 21 to the form m*r + b + y*r**3 + o*r**2 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 7*z + 2*z + 65, -2*b = -5*z - 75. Suppose 23*i = 41*i - 360. Calculate the remainder when b is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*n + 270*n = -857 + 3001 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 1, j: 5}. What is prob of picking 2 j?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-1 + sqrt(76))**2) + -1 - 6*sqrt(171)\/(sqrt(18)\/sqrt(2)) - (-3*sqrt(228)*1)\/(sqrt(24)\/(sqrt(2)*-1)).\nAnswer: -78 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + 1 + (-3 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - n + 3*n)*(22*n**2 - 435*n + 435*n) - 15*n**3 - 79*n**2 + 79*n**2 to the form x + a*n + q*n**2 + u*n**3 and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120956934*j**3 + 54039*j + 239 wrt j?\nAnswer: -725741604*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 104 = 27*p. Let b = p + 30. Suppose 0 = 4*y - 2*q - 0 + 26, 2*y = -5*q + 5. Sort -2, y, b in increasing order.\nAnswer: y, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 28*t**2 + 21*t + 21. Let m(n) = 7*n**2 + 5*n + 5. Calculate -5*c(f) + 21*m(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-4)\/(-384)). Suppose 0 = -2*a - x + o, -4*a + x = -0*x - 90. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -1 (b) -1\/2 (c) 3\/19 (d) 33 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000068191761 rounded to 7 decimal places?\nAnswer: -0.0000682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8772 + -5735. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i. Let x(m) = 4*m**4 - 2*m**3 - m**2 + 56*m. Let d = 52 + -50. Let y(j) = d*f(j) - x(j). What is the second derivative of y(b) wrt b?\nAnswer: -48*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.528 + -0.5. Let p = o - -22.972. Let v = 20 - p. Put v, 1, -1 in ascending order.\nAnswer: v, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 10, l: 3, i: 1}. Give prob of picking 1 l and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3, 0.5, -63\/8, -1\/6 in decreasing order.\nAnswer: 0.5, -1\/6, -2\/9, -3, -63\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a week in hours?\nAnswer: 4788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 25 + 218*o**2 - 36*o**2 in the form q*o**2 + u*o + z and give q.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*s + 2637 = -2482 + 1639 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 212\/16 + 4\/(-16). Suppose q + 10 = w. Suppose -3*j = -5*z - 0*j + 298, -q*j = -12. Calculate the remainder when z is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1416968694 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -897802 (b) -392 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -119ac5 + -7?\nAnswer: -119acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(240) + sqrt(240))\/sqrt(10))\/(sqrt(512) - (sqrt(512) - (sqrt(512) - (sqrt(512) - (sqrt(512) - sqrt(512)*-2))))).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 718368 divided by -3\nAnswer: -239456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*b - 136*b - 299*b = -109*b + 37224 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1196 - 1201.23. Let b = -9.3 - h. Let j = b - -4.0699811. Round j to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6*u - u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29240000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let w(o) = o - 14 + p*o + 63. Does 17 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23001 (base 5) in base 4?\nAnswer: -121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10334\/301, 1, -1 in descending order.\nAnswer: 1, -1, -10334\/301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-54)\/10*5\/(-6))\/((-14)\/84)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 386\/267?\nAnswer: 386\/267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + eb?\nAnswer: f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpikktkkk. Give prob of sequence pk.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(-4 + 0)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**3))**46*o*(o\/o**(-5\/3))\/o*o\/(o\/o**(-2\/23)) assuming o is positive.\nAnswer: o**(6526\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258277*l - 55251*l + 123951*l - 62117*l.\nAnswer: 264860*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.06 and -1069875.\nAnswer: -1069890.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77806411.\nAnswer: 7937, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 + 319940*r + 121803575 = 0. What is r?\nAnswer: -63605, -383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-3) + (-10)\/(-15). Let j be l\/3*(-12)\/8. What is the units digit of -1 + -14*(-1)\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-60) - (-3)\/(-45).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 - w**2 - 2*w**2 + 0*w**2 + 2*w**2 - 33*w in the form m*w + g + x*w**2 and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 - -188. Let w(i) = -2*i**4 + 2*i**3 + 3*i**2 - 7*i - 11. Let n(t) = 5*t**4 - 7*t**3 - 10*t**2 + 20*t + 32. Let m(h) = z*w(h) - 3*n(h). Factor m(s).\nAnswer: (s - 1)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/4464264502 - 3954049292323474\/25265504949069. Let a = x + -1\/11319. Let q = 143 + a. What is the common denominator of 57\/10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*d - 30, 3*b - 7*b + 100 = -2*d. Let j be 3*(-3)\/(-3)*-1. Put b, 3, j in decreasing order.\nAnswer: b, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940247 is divided by 1919.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133138 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*i - 34, 68 = -5*i - 0*b + b. Let p be (2 - (-72)\/i) + 3. Sort p, 4, 0 in ascending order.\nAnswer: p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22823, -22557, -22291, -22025?\n\"Answer: 266*w - 23089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 3*a + 7. Let n be c(-5). Let s be (10\/n)\/(2\/(-3)). Let z = s - 3. Solve z*j - 9 = -5*f, -3*f + f = -j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.110104km?\nAnswer: 11010.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - (-1 - -4) - 0. Let s = z - 3. Solve -5*u = 3*j - 10*u - 10, -22 = -s*j - 2*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77 and 9.87855.\nAnswer: 760.64835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 117537*m. Let t(r) = 110*r**2. Calculate t(o(c)).\nAnswer: 1519644100590*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 + -92. Suppose -5*y = -0*d + 5*d - 1465005, -f*y = -4. Round d to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 281664 = -834618. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2542512 (base 6) to base 15.\nAnswer: -2ad4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/9 + 5726*r**3\/3 + 17174*r**2\/3 + 51518*r\/9 + 1908 = 0. Calculate r.\nAnswer: -8586, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15 (b) 3 (c) -3 (d) -970\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 53*h - 138495 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. List the prime factors of w\/(-6)*(5 - -82).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 131?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53\/375 - -4337\/1500. Are 20 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491702?\nAnswer: 2, 3, 29, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - f = 80216, 5*b - 163598 = -f - 63337. Suppose 4*q = 15*q - b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffsfegfvefefffffeev. What is prob of sequence ffs?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (486\/324)\/(-35*5\/(-100)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1171 - 1171. Put -2, j, -21 in decreasing order.\nAnswer: j, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 18*g - 5. What are the prime factors of p(9)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*p = 15 + 13, 2*p + 2 = 4*m. Solve 3*n = m*f, 0 = n + 3*f - 0*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**17\/((l\/(l\/(l**(10\/11)\/l))*l)\/l)*(l**(2\/23))**(-34) assuming l is positive.\nAnswer: l**(3576\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27801648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, u: 1}. Give prob of picking 2 k.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*l = -2. Suppose -111 = l*z + z. Let v = z - -55. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11594\/33 - (-2)\/(-6). Let a = j - 228. What is the remainder when 48 is divided by 14\/35 - a\/(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/55 - 186\/385. Let a(j) = -138*j - 72. Let t be a(-5). Let r = 616 - t. Sort r, 0.3, c, -4 in decreasing order.\nAnswer: 0.3, c, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(4)\/sqrt(2) + -1 + 0 + sqrt(2).\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/21636, 76, -5, -4, -3?\nAnswer: 1\/21636","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19851 - 19779. Solve -208 = -56*m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*m + 456. Suppose -70 = -2*z + 2*u, 3*u = -5*z + 78 + m. Let x be (5 + 1)*105\/14. Calculate the highest common factor of x and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0*k)**(-16)\/(k**(-3)\/((k\/k**6)\/k*k)))**(2\/53) assuming k is positive.\nAnswer: k**(-68\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101959887 to the power of 1\/3, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 95?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2 + 2 + ((1 + 5 - 2)*(-1 - 1 + 0) - 1 + 3 - 1)*(3*g**2 - 2*g**2 - 3*g**2).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6428 + -6395. Solve 5 = -32*d + g*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 4. Suppose 6 = -z + 2. Let d be ((-12)\/z + -4)*7. Let y(p) = 2. Let l(g) = d*y(g) - 4*r(g). What is l(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 3:51 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 - 5*z**3 + 31*z**3 - 10*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4789\/5712 - -101\/102. Does f = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.34200076 - 2.342. What is n rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000100110 (base 2) to base 8.\nAnswer: -4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 291*p**7\/7 + 118*p**3\/3 + p**2 - 70. What is the third derivative of n(h) wrt h?\nAnswer: 34920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -663*n**3*z - 5*n**3 + 13 with respect to z.\nAnswer: -663*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*u + 21, u - 4*u - y = -21. Let l = 53 + u. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 46*j + 6. Let k = -64 + 68. Is u(k) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1998, -38293, 3 in descending order.\nAnswer: 3, 1, -1998, -38293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 542966040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 232918547 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31107296 and 84416?\nAnswer: 62214592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3511, 3513, 3515, 3517, 3519?\n\"Answer: 2*y + 3509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 941 - 941. Let g(y) = y**3 - 5*y**2 - 2*y + 5. Let k be g(5). Put -1, k, i, -3 in descending order.\nAnswer: i, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-18))\/(2\/(-12)). Suppose -5*f + 3*n + 2631 = -n, -p*f = -3*n - 2105. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 17*r**2 - 35*r - 63. Let o be u(19). Let n be (-3770)\/(-20124) + o\/27 + 0. Is n not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**4 - 7*s**4 - 2*s**4 + s**4 - 6*s**4 + 3*s**4 + (2*s**2 - s + s)*(3*s**2 + s**2 + 0*s**2) + 2*s**4 - 3*s**4 + 3*s**4)*(-s + 2*s - 3*s).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16478?\nAnswer: 2, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 1 + 2*n + 3*n - 4*n - 2*n**2 to the form a*n**2 + j + c*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 221\nAnswer: -43\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbblbbbbbbl. What is prob of sequence bl?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34569 - 25336 = 8092*l - 427735 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-104)\/(-24) - 4) + 1199\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33936, -30346, -26756, -23166, -19576, -15986?\nAnswer: -12396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -81990+3194230\nAnswer: 3112240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 565300 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 31 + 36 - 61. Let a(l) = -1. Determine 4*a(y) + u(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*a - 274 - 272 - 254 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/7 + 12*q**2\/7 + 40*q.\nAnswer: -4*q*(q - 10)*(q + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 10. Let k = 6 + r. Let g = k + 10. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (17 + -9 - 622) is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 18*r - 72 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 17809?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p + 4. Let g be v(-3). Suppose -101*w = 3*m - 104*w - 24, -m + 6 = -3*w. What is the second derivative of 3*h + g*h**3 + 21*h - m*h**3 wrt h?\nAnswer: 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12927.\nAnswer: 3, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgigggkiiiig. What is prob of picking 1 i and 1 g?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. What is the nearest to i in -0.3, 4\/7, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:44 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23657807.41493 plus 0.2?\nAnswer: -23657807.21493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83 and 141017?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2)*-1 - -23. Suppose u*o - 15*o = 0. Solve -2*k + 0*k + 6 = o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - 5*l + 6. Let f(r) = r**2 - r + 1. Let u be (-2)\/(-2)*(-1 - (0 - 7)). Calculate u*f(m) - s(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 8, s: 1, y: 3, g: 2, v: 1, r: 3}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34815 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10*q + 24. Determine m(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 33)*4\/34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-6))\/(-3)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031435605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7392017 decades in years?\nAnswer: 7.392017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - c - 5*c)*(7 + 15 - 3 + (-1 + 3 - 4)*(1 - 2 + 0))*(0*c**2 + 6*c**2 - 4*c**2) to p*c + h + v*c**3 + t*c**2 and give v.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17175\/8 - 2138. Calculate the common denominator of c and ((-5)\/(-6))\/(9\/(-20)).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2212?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c + 5. Let w be r(3). Suppose 123 = -2*s - 3*q, -5*q = -5*s - 259 - 36. Let z = w - s. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3996, 7992, 11988?\nAnswer: 15984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccbm. Give prob of picking 1 c and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 + -12)*-9 + 13. Solve -j*o = -3*x - 26, 4*o - 18 = -4*x + 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7))\/r*(r**(1\/29)*r)\/r*(r**(-2\/15))**42 assuming r is positive.\nAnswer: r**(-5939\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4329455 - -13?\nAnswer: -4329442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504.9 + -505. Let d = -0.05 - -1.05. Sort 2, d, 5\/2, z in ascending order.\nAnswer: z, d, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 2 - 1745*q + 5.\nAnswer: -1745*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-27))\/(16\/24)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1019653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.2, -1\/4, -4\/5, 50.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 5*j - 2. Let x be f(-4). Let y(z) = z**2 - 38*z + 158. Let g be y(34). What is the highest common factor of g and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - -10?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*v - 1 = 5, -4*j - 10 = -5*v. Let i = 1 - -4. Suppose 2*r = r - i, -2*r = -2*u + 20. Solve -z - d + 5 = 4*z, 4*z - d + u = j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 39*i + 70*i + 91*i + 10*i.\nAnswer: 203*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 14*h = -18*h - 15, -2*h = 5*l + 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/85271 (b) -0.623 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5, 27 in increasing order.\nAnswer: -1, 2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) - (sqrt(150)*-2 + sqrt(150)))*-1 - sqrt(150) - sqrt(150))\/sqrt(6))\/(6*sqrt(10)\/sqrt(2) - (sqrt(60)\/sqrt(3) + sqrt(20))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(49)\/sqrt(7)) - (4 + sqrt(57)\/sqrt(3)) - (2*sqrt(19)*3 + (3 + sqrt(1216))**2))*3.\nAnswer: -3687 - 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 67*t + 3904 = 381*t - 145*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**4 - 3*i**2 - 128 wrt i?\nAnswer: 12*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - 26 - (-4 + 8 + -6 - (-10 - 1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 416 = 2*p + 3*k, 3*p - 2*k = 312. Let c be (2 - p)*(-20)\/(-8). What is the units digit of ((-2)\/3)\/(10\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14923.8 + -14923.8000169251. What is r rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72055 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4586586*p + 4586586*p - 5*p**2 - 21 - 13*p**3 as o*p**2 + j*p**3 + y*p + x and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -9, 5 in descending order.\nAnswer: 5, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*n**5 - 4176*n**4 + 248*n - 1464?\nAnswer: 360*n**3 - 50112*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29218199 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1507, -4\/7, 2 in descending order.\nAnswer: 2, -2\/1507, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 756 - 466. Find the third derivative of y**2 - 28*y - 18*y - 178*y**5 + b*y**5 wrt y.\nAnswer: 6720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 212, 686, 1608, 3128, 5396, 8562, 12776?\nAnswer: 18188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and 295.\nAnswer: 294.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -454574719*v**5 - 2*v - 320375329.\nAnswer: -9091494380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 2567?\nAnswer: 7701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 - 4*z - 7. Let t = 8 + -4. Suppose t*q + q + 49 = -4*n, -4*q = 2*n + 32. Is s(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8049, -16291, -24529, -32763, -40993?\nAnswer: -49219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 23909*l**2 + 2*l + 48. Let v(r) = -2*r. Give v(d(x)).\nAnswer: -47818*x**2 - 4*x - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47194 = -60*b + 642*b + 4126 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145111 + 3?\nAnswer: 145114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002012 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.00015 + 19. What is a rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4840628 is divided by 7745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1, -5, 12, -4, 37 in increasing order.\nAnswer: -26, -5, -4, 1, 12, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173.2572 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*s**5 + 45*s**4 - 32*s**3 + 4*s**2.\nAnswer: s**2*(s + 1)*(9*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 7*f**2 - 1363 + 0*f**2 + 8*f**2 + 1293 to the form i + t*f + a*f**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5*-10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:40 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 49 + (-41 - -17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593855829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 46, -143, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s*s*s**(-9\/7)))\/s)\/s)**26\/((s\/(s**(-17)\/s))\/s)**(-35))**(-7) assuming s is positive.\nAnswer: s**(-4280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 353289347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**5 - a**3 + 46*a**2.\nAnswer: -480*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392596064?\nAnswer: 2, 7, 479, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10024000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2937 - 8*l - 2960 + 3*l + 6*l - 3*l.\nAnswer: -2*l - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3118513093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.18 and 10.9925801567?\nAnswer: 11.1725801567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-2)\/(sqrt(110)\/(-2*sqrt(10))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222 and 22252.\nAnswer: -4939944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 - 2*q**3 + 37 - q - q - 6*q**2 - q**3 - 4*q**3 + 3*q**3 + (113*q**2 + 52*q**2 - 24*q**2)*(-q - 3*q + 6*q).\nAnswer: 278*q**3 - 6*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303 + -42554?\nAnswer: -43160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -130*t + 36 - t**2 - 2 + 15*t + 129*t. What is i(17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281972589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence get when three letters picked without replacement from {e: 1, r: 1, v: 2, g: 4, t: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3129bc - 3?\nAnswer: 3129b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 23. Suppose 6*b - b = 210. Calculate the remainder when b is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + 2*c + 4*c + (-2*c - 2 + 2)*(-1 + 0 + 0) + 4*c - 3*c + 2*c + 0*c + 0*c + c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33887.1 millennia to centuries.\nAnswer: 338871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 536 by 2.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 262 - 264. Let w = 128\/99 - 24\/11. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**6\/90 + 5*d**4\/24 + 5*d**3\/6 + 5*d. Let w(x) be the second derivative of m(x). Find the first derivative of w(o) wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 11:27 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 9. Let l(a) = -2*a. What is l(o(d))?\nAnswer: 2*d - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 93*q**2 - 9*q. Let s be x(-3). Let l = -3809 + 3836. What is the highest common divisor of s and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108459 = -7942*n + 11959*n for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o + 8. Let b(s) = -5*s - 4. Determine -9*b(i) - 4*j(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.092 (b) -0.3 (c) -1 (d) -4\/5 (e) 131\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1263*m**3 - 1255*m**3 + 3*m**2 + 2516*m**3.\nAnswer: -2*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 5:25 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 108 = -4*v, 6 = -5*v + 1. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 303.25 - 335.8. What is c rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0077258 to four dps.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**5\/40 + j**4\/8 - 5*j**3\/24 + j**2\/8 - 24. Solve z(b) = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472690 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -725 (c) 35 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 6*r + 6*b, 441*r + 13 = 219*r + 215*r + 4*b - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -453626 minus 1?\nAnswer: -453627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508600215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 612611 by 1108.\nAnswer: 612611\/1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/21)*z\/(z\/(z\/(z*z**(-1)))*z)*z*z\/((z*z**(-1)\/z)\/z)*z\/((z\/(((z**9*z)\/z)\/z))\/z)*z)**(-1\/3) assuming z is positive.\nAnswer: z**(-292\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -2, 1\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (303\/(-9))\/((-3)\/9). Suppose -4*p = -4*r + 108, -2*r - r = 2*p - l. Suppose -5*y - 1 + r = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*g - 49 = 589*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -26, -27, -28, -29, -30?\n\"Answer: -y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2236 = -4*j - 3459, 4*j = 3*d - 3417. Calculate the remainder when d is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 1, n: 2, l: 1, z: 2, x: 1}. What is prob of picking 1 d and 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - s, 2*s - 9 + 33 = 4*o. Solve -4*a + 4 = -a + j, 0 = o*a + 2*j - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 5\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*b - 8 + 37*b - 64*b)*(4 - 2 - 5)*(4 - 8 + 2)*(-b + b - b).\nAnswer: -6*b**2 + 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 1.4, 0, -3\/4, 6, 1.6, -3 in ascending order.\nAnswer: -3, -3\/4, 0, 2\/25, 1.4, 1.6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:01 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 26. Suppose 2*z = -c + 40. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 - 9*t**2 - 72*t - 40. Let l be a(-13). Let z(w) = w**3 + 7*w**2 - 3*w + 6. Give z(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2274963, -2274966, -2274969, -2274972, -2274975, -2274978?\nAnswer: -2274981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*o = d - 897, 0 = -2*d + 2*o + 362. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243\/(-102)*16 - -38\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 65712 + 32928 + 32784.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -2.1. Let h = -2.5 - s. Let o = -3.1 - -2.7. Which is the smallest value? (a) o (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*v = -3*v - 2049, -3*i + 3*v = -1533. Let c(l) = l**2 + 75*l + 219. Let t be c(-72). Suppose -t*n = 3*n - i. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x - x)*(3 - 3 + x) + (0 + 0 - 2*x)*(3*x - 2*x + x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 296.\nAnswer: -1\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by -6.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from bgtbikf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -686\/2253?\nAnswer: -686\/2253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79571 is divided by 281?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 4*k = -141, 0 = -2*b - k + 83. Let q(c) = -147*c. Let f be q(-2). Let s = f - 165. Calculate the highest common divisor of s and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61, 346, 823, 1492?\n\"Answer: 96*k**2 - 3*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*h = 2*n - 18, -2*n + 3*h + 1 = 0. Let j = 4 + n. Suppose j*s - 2*s + 4 = 0. Solve 5*o + 15 = -a, s*a + o = -0*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 1445948*v + 1445947.\nAnswer: (v + 1)*(v + 1445947)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.1 + 7. Which is the second smallest value? (a) 1\/3 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3788 = -4*u + 2*g, 4*u - 15128 = -4*g. Suppose -5*l + 4726 = -f - 3*f, 0 = 4*l - 4*f - u. List the prime factors of l.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125805838?\nAnswer: 2, 109, 113, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2)*1*(0 + -4). What is the second derivative of 0*r + 104*r**4 - d - 60*r**4 - 13 + 2*r wrt r?\nAnswer: 528*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3242*v**2 - 6*v + 39 wrt v.\nAnswer: 6484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 (base 14) in base 5?\nAnswer: 104010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278797957.\nAnswer: 193, 727, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k - 228. Let b be l(7). Solve -11 = b*a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 21*n + 1. Let y be g(-9). Solve -4*a = -y + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, 20, 18753 in decreasing order.\nAnswer: 18753, 20, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19324612*p + 4608 = 19324564*p for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 24 + 24 + 16*f**2 to q*f**2 + g*f + k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -5\/22 (b) -2 (c) -0.12 (d) -54.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/28)\/(-9*(-3)\/(-612)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 3 - 3)*(5*m**2 - 2*m**2 - 9*m**2).\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d7879 - 2?\nAnswer: 2d7877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**10\/180 + d**6\/40 - 16*d**3\/3 - 4. Let l(y) be the third derivative of a(y). What is the third derivative of l(f) wrt f?\nAnswer: -3360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -75. Solve -k*q = 2*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 20. What is the remainder when 17 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 0.3 (c) -5 (d) -3 (e) -9096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 8*u**2 + 9*u + 2. Let v be -3*(4 + 4) - 0. What is the remainder when (-4)\/v + 138\/36 is divided by l(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4347968 to the nearest integer?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 926 + -236. Let l be -2*39\/(-4)*2980\/447. Suppose 4*n - z = -l. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-91) - (-50)\/13. Solve 0 = -f*u - 19 + 35 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = -p, 58 = 4*p - c - 15. Suppose 74 + 56 = 5*t. Let u = t - p. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*z - 6*z - 6, 4*r - 4*z = 0. Let j(h) = -6*h**2 - 2*h - 1. Let y be j(r). Let q = 2 + 0. Which is the closest to 1\/3? (a) y (b) q (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*n - 20*n - 2 - 2 - 46*n.\nAnswer: 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.6 - -49.598275. What is r rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3472*i - 3458*i - 238 = 0. Calculate the remainder when ((-2 - -2) + -5)\/(6\/(-24)) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -2\/347 (c) -1\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u - 137. What is the remainder when w(-13) is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 105. Let d be g(27). Suppose -7*a + 3*n = -d*a - 5, -a + 1 = -n. Solve 0 = -a*y + 4*s - 23 + 7, -4*y + 28 = 4*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3\/7 + 3730*a**2\/7 - 18600*a\/7 = 0.\nAnswer: 0, 5, 1860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 + 3 = 2*a, 5*a = -2*c + 22. Let i be (0 + 0 + -1)*c. Let o be 87\/15 + i\/(-5). Solve 2*y + 3*l = 5*l - o, 5*l - 1 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 6*m**2 + 5*m + 8. Let f(a) = a**3 + 5*a**2 - 4*a - 6. What is -5*f(g) - 4*v(g)?\nAnswer: 3*g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2958 and 177237444.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5. Let o = 3.5 + h. Let j = o + 0.5. Which is the closest to 2\/9? (a) -0.5 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -221*w**2 + 5*w - 3. Let m be n(-3). Let p = m - -32091\/16. Calculate the common denominator of -79\/12 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 151. Suppose -3*y + 8*y - h = 0. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -24*q - 13. Let v(j) = -12*j - 6. Give -6*s(f) + 13*v(f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 + -9 - -29) - (2 + -87 + 0)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 20 - k)*(17*k + 3*k - 6*k)*(-6*k + 6*k + 11*k) to the form c*k + i*k**2 + d*k**3 + l and give d.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22638 divided by 125?\nAnswer: -22638\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**6\/18 - 223*a**5\/15 - 12539*a**4\/12 - 11429*a**3\/9 + 8362*a**2 + 16428*a - 3858. What is r in x(r) = 0?\nAnswer: -111, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3 = -2*r, r + 2*q - 130 = -127 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19024824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + a**2 - 49*a - 7*a**3 + 33*a - 60*a + (-8 + 5*a**2 + 8)*(-a + a + 2*a).\nAnswer: 3*a**3 + 4*a**2 - 76*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 30, 19, -16, -81, -182?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/120 - 11*d**5\/30 + 5*d**4\/6 + 9*d**3\/2 - 7*d**2. Let y be h(21). Suppose -y*x + 19 + 23 = 0. Is 2 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14 - 290\/(-15)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120, -540, -1242, -2226, -3492?\n\"Answer: -141*n**2 + 3*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -263, -16, 0.5, -1.\nAnswer: -263, -16, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 2 - (2 - 2). Find the common denominator of (s\/10)\/((-4)\/(-76)) and -29\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021417143.\nAnswer: 3, 19, 23, 859, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 7) to base 10\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -7*k**6\/60 - 23*k**5\/40 + k**4\/24 + 23*k**3\/12 + 3*k**2\/2 - k - 47. Suppose t(i) = 0. Calculate i.\nAnswer: -3, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 6) to base 3.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 18 = -0*u + s, s - 13 = 3*u. Which is the nearest to -9? (a) -1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -23 (b) 5 (c) 26 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3066.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 6*i - 15. What is the derivative of -11*x**3 + 6 - i + 0 wrt x?\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 110349.9l?\nAnswer: 110349900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - 2) - (-11 - -5) - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259383?\nAnswer: 3, 86461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -0.07 (c) -167 (d) -0.5 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308350 and 5470129.\nAnswer: 6167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.8 - 23.8. Let u = 1 - w. Which is the closest to u? (a) -0.1 (b) -5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6763797\/(-864552) + -2)\/(-2). Let a = -1\/33904 - y. Let i = a + 24\/17. What is the common denominator of -113\/20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {s: 2, y: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -16737*p**3 - 36*p**2 + 12*p + 36. Let f(y) = -y**3 + 3*y**2 - y - 3. Determine 12*f(c) + k(c).\nAnswer: -16749*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 10. Suppose 8*u = n*u - 6. Let h(l) = -2*l - 8. Let f be h(u). Solve 0 = -5*t - 2*p + 13, t + f*t + 15 = 5*p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (10 - 4\/(-2)). Suppose c + a + 15 = 5*c, 2*a = -2*c + i. Let v be (-9 + 2 + 3)*1. Put c, v, -5 in ascending order.\nAnswer: -5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -183036.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:21 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2180 and 122.\nAnswer: -2058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0 (c) 0.4 (d) -33402398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -9 + -6 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.613609 centuries in years?\nAnswer: 661.3609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 1. Let z(y) = y + 1. Let b(h) = -4*m(h) - 3*z(h). Let g(t) = 4*t + 7. Calculate 2*b(i) - g(i).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 1. Let l(q) = 6*q. Let z = -49 - -44. What is z*i(t) + l(t)?\nAnswer: t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -14 + 7 + 3 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 210*l - 448. Calculate j(-72).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*p - 6 = 0, 0 = -9*t + 44*t - 31*t + 2*p + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 670 = -5*s + 194, -4*t - s = 476. Let y = 394 + t. Let b = -51 + 76. Calculate the highest common divisor of y and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 4:26 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-665)\/(-798))\/((-10)\/6*4*-6)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*c, -4*h - 6*c = -4*c. Suppose j - 6*j + 50 = h. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132938, -132956, -132970, -132980?\nAnswer: -132986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11. Suppose i = 3*v - 12, 20 = 5*i - c*v + v. Let -2\/3*w**i + 0 - 2\/3*w + 4\/3*w**2 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = -4*m, m + s - 4*s = -12. Suppose -4*c + 150 = -m*b, -4*b + 64 = -2*c + 4*c. What is the highest common factor of c and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1223210203023 - -22?\nAnswer: -1223210203001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:30 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 83*q**2 + 40*q + 407. Determine c(-84).\nAnswer: 4103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 345 + 545. What are the prime factors of g?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277003541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0*g**2 - 1 + g**2 + g**2 + 2*g. Let z(t) = -2*t**2 - 2*t + 2. Let k be 4\/18 - 2\/9. Let a be 2 - (k + 1) - 3. Calculate a*z(m) - 3*u(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.19. Let o = m + -5.11. What is the third smallest value in 2\/9, o, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -356801305301\/169438583898 + 108688\/2170453. Let d = u + 2\/13011. Let l = 398\/3 + -655\/6. Find the common denominator of l and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.138 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 2. What is the smallest common multiple of 10 and n(6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139023800 to the nearest one hundred thousand.\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let u = 0.09 + 0.41. Which is the third biggest value? (a) 0.3 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27867\/22814 + 6\/1037. Let t = 47\/9 - 656\/117. Let r = t + 589\/78. Find the common denominator of r and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159320*n + 159332*n + 159318*n + 159330*n - 637270*n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30040010 + 13?\nAnswer: 30040023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 4*y + 1. Let o(a) = 4*a**2 + 21*a - 5*a**2 + 4*a**2 + 5 + 2*a**2. What is 11*l(k) - 2*o(k)?\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 138, 3, 1, -3, -47.\nAnswer: -47, -3, 1, 3, 108, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/3 + 29\/6. What is the closest to 0 in l, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157323853.\nAnswer: 31, 167, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -491 (b) 8 (c) -0.1 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 705659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 64052588*a + 1538525261061654.\nAnswer: 2*(a - 48039441)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.2. Let z = 4381 - 4381.3. What is the nearest to g in 1, z, 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2*t*w - q**2*w + 8*q*t**2 + t**2*w**2 + 2*w**2 with respect to t.\nAnswer: 3*q**2*w + 16*q*t + 2*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429\/(-429)*2\/(2\/19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.4 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -653.99693 + 654. What is z rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 145. List the prime factors of y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220011021002 (base 3) in base 7?\nAnswer: 4020203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by 3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8349.1 and -21.\nAnswer: 175331.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46147, 92359, 138571, 184783, 230995, 277207?\nAnswer: 323419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 108 = -8*i. Let n(p) = -p**3 - 5*p**2 - 12*p - 9. Suppose 4*t - 88 = 2*t. Calculate the remainder when t is divided by n(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = 7*d + 40. Let r = -3 + 0. Let m be d + ((-4)\/(4\/3) - r). Sort m, -2\/9, -0.01 in decreasing order.\nAnswer: -0.01, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**2 + c - 1. What is w(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6296271578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**6\/3 + 8*x**5\/5 + 3*x**4\/2 - 8*x**3\/3 - 4*x**2 - 16. Factor f(n).\nAnswer: 2*n*(n - 1)*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 2*d**7\/105 - 29*d**5\/60 + 2*d**3\/3 + d**2 + 2*d. What is the first derivative of v(w) wrt w?\nAnswer: 16*w**3 - 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.9112 tonnes to milligrams.\nAnswer: 521911200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34363, 34364, 34365?\n\"Answer: n + 34362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 19 + 14. What is the second derivative of -b*m**2 + 34*m - 85 + 42 + 43 wrt m?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 12. Let r = 3 + -1. What is the smallest common multiple of r and t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32360 - -48827. List the prime factors of f.\nAnswer: 3, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 46 = 5*o - 9, 5*o = 3*t + 75. Let g = t + 23. Solve 0 = 3*d - 3*i + 12, 4*d - 3*d + 14 = g*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157439064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*3 + (sqrt(1188)\/sqrt(3) - sqrt(11)) - (0 + (-1*(sqrt(275) + 0))**2).\nAnswer: -275 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 - -259. Let j(a) = 9*a**2 - 2*a. Let x be j(-2). Calculate the greatest common factor of w and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) 1\/8 (c) 64 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024769 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 6*o = 2, 2*n - 2091*o + 2077*o = 32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*j + 258723 = -30*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64839199.\nAnswer: 64839199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 119287032*g - 16008070503790152.\nAnswer: -2*(g - 268395822)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 2 - 6*i**4 - 1114246*i + i**3 + 1114307*i as c*i**2 + d + t*i**3 + n*i + x*i**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f + 4. Let l(t) = 7*t + 4. Let a(n) = -n**2 + 44*n + 2122. Let v be a(73). Calculate v*l(h) - 4*d(h).\nAnswer: 3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4356 by -1089.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*a**4 + 32*a**4 + 187*a**4 + (a**4 - 1 + 1)*(-4 + 1 + 2) + 6*a**4 - 3*a**2 + 3*a**2 to z*a + r*a**2 + n*a**4 + m*a**3 + g and give n.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 3*i**2\/2 + 178. Let w(x) = 3*x + 9. Calculate w(j(y)).\nAnswer: 9*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-70) - ((-120)\/28)\/15.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -8\/3*v**3 - 5*v + 0 - 2*v**2 - 1\/20*v**5 - 7\/6*v**4. Is 6 a factor of q(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**4 + 9*r**4 + 12*r**4 + (-42 + 42 - 8*r**3)*(4*r - 5*r + 2*r).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f**2 - 7*f - 13. Let i be j(-2). Let k = i - -509. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285*f**6 - 8674*f**2 + 1303*f**6 + 183*f**6 + 162*f**6 wrt f.\nAnswer: 163560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (59 + 12 - 8) + -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 6*p + 0*p)*(12*p**2 - 141*p**2 - 44*p**2) in the form v + f*p**2 + m*p + j*p**3 and give j.\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f + 214. Let p(m) = -43*m + 643. What is 2*p(z) - 7*w(z)?\nAnswer: -2*z - 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 80649 + 80649.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4132699 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - b**2 + 327*b - b**2 + 43*b**2 - 34*b**2.\nAnswer: 4*b**2 + 327*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 15) to base 9.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.67 - -7.07. What is the smallest value in 5, k, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-13*d**2 + 13*d**2 - 2*d**5 + 1).\nAnswer: -2*d**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100650, -115569, -130490, -145413?\nAnswer: -160338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1, -5, 0.8.\nAnswer: -5, -3, 0.8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 90, 134?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 119*s**3 + 4*s**2 - 118*s**3)*(-58 - 282 - 23) in the form l*s**2 + t*s + g + v*s**3 and give l.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 17*u**6\/3 - 2*u**5\/5 - u**3 + 27*u + 85. Find the third derivative of c(l) wrt l.\nAnswer: 2040*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 54*v + 10. Determine p(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 114 + 38 = 0. Let c = o - 22. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103975480 divided by -14\nAnswer: -7426820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a - 29 = 5*l, -2*a - 2*l - 2 = 0. Suppose -m - 2*s = 2*s + 6, 0 = a*s + 12. What is the remainder when -2 + 1 + (-14 - -26) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -1\/48*c**4 + 0 + 0*c - 3*c**2 + 0*c**3 - 1\/120*c**5. Factor n(l).\nAnswer: -l*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(567) - (2 + sqrt(567))))**2*-2 + -2*(sqrt(567)*5 + -2)**2.\nAnswer: -28390 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 - 318. Let d = l + 458. Solve s + 5 = d*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060659336 to six decimal places.\nAnswer: -0.006066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437126573.\nAnswer: 13, 587, 57283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 351716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 2b?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 + 0*g - 6*g - 2*g**2 - 3*g. Let i(z) = 2*z**3 + z**2 + 4*z. Let v(h) = -7*i(h) - 3*p(h). Is v(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k)**25*k*k**(3\/4)*k**(-1\/6)\/k assuming k is positive.\nAnswer: k**(607\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 20. Let q be z(20). Which is greater: q or -39?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 7. What is y(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32813374 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 80 = -8*z. Let t = -40114273\/10 + 4007723. Let s = t + 3698. Calculate the common denominator of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 116 = -4*x. Is 30 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*f - 35 = 0, 2*f = -4*l - 0*f + 2395 - 2365 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187727886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 576. Let c be (-10 + 10)\/12 - -24. What is the greatest common divisor of m and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -2. Find the second derivative of 3*q**5 + q - 4*q**5 + s*q**5 wrt q.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 5*v + 38. Let s = v - 23. Is -18\/5 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -24*(-4)\/(-6)*-1 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (42 - 20) - (-30 - (4 + -6 + 2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6\/7, -4, -5, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.06, 5 in descending order.\nAnswer: 5, 1\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1700)*2 - sqrt(1700) - 3*(-2*sqrt(1700) + sqrt(1700))) + 1 + (1*sqrt(1700)*2 + 4)*4)**2.\nAnswer: 7480*sqrt(17) + 823089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 356, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -1364*b**3\/3 - 1970*b + 1282. Find the first derivative of g(q) wrt q.\nAnswer: -2728*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2100592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97505 and 32761680.\nAnswer: 32761680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4413084?\nAnswer: 2, 3, 13, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 436 - 240. Let b(l) = -22*l**3 - 8*l**2 - 2*l - 2. Calculate the least common multiple of n and b(-1).\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 6. What is the highest common factor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 12*y + 33*y + 1. Which is the closest to -1\/3? (a) y (b) -1.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+0.185\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(49\/10)*(-4 + 11). Suppose -u*g + 191 - 71 = 0. What is the greatest common divisor of g and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 48*n - 270. Give i(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (287 - 276) + (6 + (-9 - (5 - 1)) - -76)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156669 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d + 55. Let x be c(-12). Solve x = 3*f + 6*w - 8*w, 0 = -2*w + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 + 3*n**2 + 3*n. Let k be b(-2). Suppose -3*l - 5*p = -k, p + 12 = 5*p. Suppose l*j - 35 + 0 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.61031 millilitres in litres?\nAnswer: 0.00561031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 18, 44, 90, 162?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -49038 (base 13) to base 2\nAnswer: -100000101110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 7*q - 7. Let c = 16 + -16. Suppose 5*h = 4*l - 3*l + 15, 4*l - 20 = c. Suppose 0 = -h*v + 11*v + 42. Determine f(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219*c - 1220*c + 50 = -3*z, 0 = -5*z + 6*c - 105 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i - 10. Let z be p(8). Let s = 28 - 23. Suppose -4*d = -s*n - 20, -3*d + z*d - 15 = -5*n. Solve -d*r - 17 = 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*y + 31*y - 357. Let p = y + 1491\/4. Find the common denominator of 23\/24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 2*p + 3. Let w be h(3). Let b be w + 5\/3*3. Let a(y) = -5*y**2 - 37. Let c(r) = 6*r**2 - r + 43. Let u(g) = -7*a(g) - 6*c(g). Calculate u(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255710 is divided by 42592?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(6\/7)\/(z*z**(-8)*z))\/(z**(3\/7)\/z**1))\/((z*z**(2\/3))**31*(z*z\/(((z*z*z*z\/z**(-2\/7)*z)\/z)\/z*z*z))**(-2\/9)) assuming z is positive.\nAnswer: z**(-2833\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*-5*17\/(1785\/7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(-82 - s + 8*s + 80) as f + n*s and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:36 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 + 796*o + 79202 = 0. What is o?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*l - 6. Suppose 21 + 21 = l*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/12 + (-38703)\/38. Suppose 0*w - 5*w = 2435. Let h = q - w. What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkt when three letters picked without replacement from {q: 2, l: 2, t: 2, k: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (198\/(-238) - -1) + 178\/1513. What is the nearest to 2 in 1\/11, 4, z, 175?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/12 + 17*a**3\/6 + 19*a**2 - 722*a. Find g such that w(g) = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244696 and 244696?\nAnswer: 244696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) + -2*sqrt(4)\/sqrt(2)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -28, 17 in decreasing order.\nAnswer: 17, -28, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*p + 7*p - 27 = 0, -5*h = -2*p + 5. Suppose -5 = 3*u + h. Let q be (5 - 5) + (-1 - u). What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) + (sqrt(120)*2 - sqrt(120))*-6))\/(-1*sqrt(45)))\/((-1*sqrt(80))\/sqrt(10) - sqrt(392)*-2).\nAnswer: -2*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 258*q**2. Let u(g) = -229*g**2 - 230*g**2 + 461*g**2. Give u(m(b)).\nAnswer: 133128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 417 - -138069?\nAnswer: 138484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23085329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30653 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41.4 * 317698\nAnswer: -13152697.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*c + 17, 3 + 0 = 2*d + 3*c. Calculate the remainder when 10 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/64 or -1\/3?\nAnswer: 9\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f - 32. Let i be 6\/(-4)*f\/24. Factor -9*c**2 + 5*c**2 + 7*c + 4*c**3 - 3*c**3 + 9*c**i + 3.\nAnswer: (c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34252 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11528, -11607, -11828, -12263, -12984, -14063, -15572?\nAnswer: -17583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -46. Which is the closest to g? (a) 3\/7 (b) -1\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/18183 and -127\/3828?\nAnswer: 72732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.4361 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 114 + 18*n - 236 + 118)*(2 - 1 + 0)*(1 + 2*n - 1).\nAnswer: -2*n**3 + 36*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26858 or -0.1?\nAnswer: -26858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (258\/12 + -16)\/((-8)\/(-16)) + 36?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3496388+0.07\nAnswer: 3496388.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65786416 a multiple of 1816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t = -92*t - 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 15. Let x(h) = 10*h**3 - 2*h**2 - 3. Is x(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63.99 + 65.99. Which is the closest to 14? (a) -0.4 (b) j (c) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/5 (c) 2\/21 (d) -0.05 (e) 8 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1900) + 1 - sqrt(19))**2.\nAnswer: 18*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 219\/146*(0 - 2). Let w be 1\/(-4) + (-9)\/(-4). Suppose g + w = 3*g. Sort g, -5, t in decreasing order.\nAnswer: g, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*r**2*s**2 + 6241*r**2*s + 4*r*s**2 - 866972*s**2 + 798*s wrt s.\nAnswer: 14*r**2 + 8*r - 1733944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 - -2526?\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osssssessssmoseo. What is prob of picking 2 e and 1 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24915, -25991, -27785, -30297, -33527, -37475, -42141?\n\"Answer: -359*f**2 + f - 24557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25984 and 2135966?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1675.\nAnswer: -6700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 1.99. Let y = 0.213 + -0.013. Which is the third smallest value? (a) -1\/3 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {u: 4, e: 7, a: 5}?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -72, 3, 1, -5.\nAnswer: -72, -5, -3, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 + -218. Let o = 90 - g. Calculate the remainder when o is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4 - b**3 + 0*b**2 + 3*b**2 - 4*b**2 + 3*b + 0*b**2. Let t be j(-3). Let c = 7 + -3. Solve t = -c*n + 5*q - 2*q, -9 = -3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5213 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1314*q - 1897. Is i(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29541?\nAnswer: 3, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 46*z + 775. Let h(u) = -47*u - 807. Let j(i) = -6*h(i) - 5*p(i). What is the derivative of j(q) wrt q?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2391, 2316, 2241, 2166, 2091, 2016?\n\"Answer: -75*o + 2466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.97 - 0.03. Let b = -103427\/3 + 34476. Sort i, b, -66 in descending order.\nAnswer: b, i, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.1 - -27. What is the third biggest value in -2, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 38, 1, 122, -11 in increasing order.\nAnswer: -11, -5, 1, 38, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.6 - 51.6. Which is the nearest to 2\/5? (a) 1\/2 (b) m (c) 2\/17 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 2*t + 4. Let m be r(3). Let c(a) = a**3 - 6*a**2 + 9*a - 10. Let j be c(5). What is the remainder when 15*6*m\/j is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, w: 5, s: 8}. Give prob of picking 2 s and 1 w.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6830 + 25*m - 6830 + 3*m + 2*m - 4*m + (1 - 2 + 2)*(3*m + 4*m - 2*m).\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1786565\/10608 + -25760\/153. Find the common denominator of b and 163\/5148.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 203*s. Let n(x) = 2534*x**2. Give n(z(y)).\nAnswer: 104423606*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559.4539ml to litres.\nAnswer: 0.5594539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -281*n**2 + 3*n. Let t be d(3). Let s = -1669 - t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 7*n + 33, 3 = -527*v + 527*v - 3*n for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2822.895939 to the nearest 10.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/10 + t**4\/2 - 4*t**2 + 36*t. Solve c(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3604 is divided by 851?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) + (-88)\/(-10). Let v = s - 1. Solve 4*t + 0*t = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4384 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: Simplify (v**5\/v)**(-45)\/(v**(-5\/6))**(-6) assuming v is positive.\nAnswer: v**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*n + 409, -504 = -4*q + 5*n - 10*n. Let w = q + -75. What is the remainder when -1 - w\/12*-6 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/57728 and 39\/1474.\nAnswer: 3867776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3689.\nAnswer: 5\/3689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 + 17)\/(2 - 1). Solve -m*a = -25 - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 - 2*m + 6. Let o be u(4). Suppose -8*k + o = -3*k. Is (-1 - -2)*k - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 - y + 1. Let u(r) = -3*r + 22. Let c be u(7). What is n(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-637*u - 3*u**2 + 637*u + 6*u**3)*(0 + 0 + 2*u + (3*u + 0*u - 2*u)*(4 - 2 - 1) - 2 + 2 + 2*u + 0*u + 0*u - 2*u).\nAnswer: 18*u**4 - 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 5*x**2 + 3*x**4 - 12*x**4 + 3*x**2 + x**3 + x**3 in the form i*x**4 + t*x + a*x**2 + l + y*x**3 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16397*k**2 + 19910?\nAnswer: 32794*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738*s**2 + 85*s - 85*s - 82 + 167 - 736*s**2 - 85.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = -26. Let u = -4 + 3.93. Let x = 0.93 - u. What is the closest to x in f, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 2*j - 4*j + (0*j - 4*j + 2*j)*(5 - 4 + 2) - 5*j + 2*j + j - 3*j + 4*j - 4*j in the form h + c*j and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25262.\nAnswer: 2, 17, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxb when three letters picked without replacement from {w: 3, x: 2, b: 1, s: 3, m: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1045 + 1050. Which is the biggest value? (a) 1 (b) m (c) 2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2073167\nAnswer: 3\/2073167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n)*(-82 + 6*n + 82).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 - 6*n**2 - 4 - 7*n + 3*n**3 + n - n. Let w be i(-4). Is 5 a factor of 38\/3 - w\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3)\/a*a*a)\/a*a**(4\/5)\/a*a**9*a**(-2)*a)\/(a*a*a**(-1)*a*a\/a**(-10))**(1\/31) assuming a is positive.\nAnswer: a**(834\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(2*5\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 13 - (2 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45251039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 4. Let b be m(-1). Let y be -1 + b - (-1 + (-5)\/5). Solve -2*r = -2, 4*k - 9 = 5*r + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9928\/217 - -1436\/31. Let i(b) = -b**2 - 5*b + 2. Let m be i(-5). Find t, given that 16\/7 + 8\/7*t**3 - 16\/7*t + n*t**4 - 12\/7*t**m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**3\/6 + 341*o. Let s(b) = -27*b - 2. Determine -s(m) + 4*w(m).\nAnswer: 23*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gibibkks. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*o + 439*o = -266 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 3*p - 7. Let q be d(-5). Let y = -16 + q. Let z = y + 15. Solve z = 5*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/149? (a) -1 (b) 0.3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137407 - 743843. Let g be (1 - (-1603)\/(-3))*o\/20. Round g to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 2)*(-3*n + 3*n + 8*n).\nAnswer: -56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 16*t**2 + 6*t**2 + 7*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149211 (base 11) in base 9?\nAnswer: 11383362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - -9. Is -1 - (-7)\/(7\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*b + 41. Let x = b - 6. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3)*1\/6. Let h = -17533 + 87002\/5. Let g = 133 + h. Which is the nearest to 1\/2? (a) -4 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 take away -13593.56?\nAnswer: 14221.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, g: 1, j: 1, k: 10, q: 1}. What is prob of picking 1 p and 1 j?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 + 3)*(3*h - 3*h + 3*h)*((0*h**2 - 4*h**2 + h**2)*(-2 + 2 - 2*h) + 3*h**3 - 4*h**3 + 3*h**3).\nAnswer: -96*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 16, 24?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**3\/3 + 3*y**2\/2 + 81. Let w(m) = 2*m**2 + 4*m + 1. Let a be 1*(0 - (0 + -2)). Let i = -1 - a. Determine i*w(b) + 4*l(b).\nAnswer: -2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 3. Let c be k(2). Solve 2*s - 9 = -c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -304.2 and 0.06.\nAnswer: -18.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 = -140*u + 47*u - 68*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214105841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 4*g - 1. Let p(k) = k**3 + 4*k**2 + 6*k + 14. Let x be p(-3). What is the remainder when 13 is divided by b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2)*-5 + -2 + sqrt(5) + 0.\nAnswer: -4*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.898 + -14. Let k = -47.898 + l. Let y = 48.0145 + k. What is y rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:34 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3927 - -14509. List the prime factors of g.\nAnswer: 2, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 382, 862, 1534, 2398?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g\/(g*g*g**(-1\/14)))**44 assuming g is positive.\nAnswer: g**(330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*a - z - 47, 0 = 5*a + 4*z - 75. Suppose a = 6*h + 13. Which is smaller: -3\/8 or h?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w. Suppose 2*d = -3*d + 40. Suppose w = -0*n - 2*n + d. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -15. Let u = 1017 + -1048. Let j = l + u. Does j = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 37442610.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 44 = -2*x, 3*z + 6809*x - 6812*x = -78 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o\/o**(2\/17)*o*o))*o*o**(-11\/6)\/o*o)\/((o*o**(-1\/2))\/o**20) assuming o is positive.\nAnswer: o**(1150\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -2*w - 5*n - 17, -5*w = 4*n + 412. What is the tens digit of w\/(-8) - (-2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + 246.4. Let g = q - 39.1. What is the smallest value in g, 314, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**40\/(i**9\/(i**4*i)) assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034670681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 - 39*c**2 + 3575*c\/2 - 5246\/3.\nAnswer: (c - 172)*(c - 61)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 538*m**3 - 10224*m**2 + 50*m - 206. Give j(19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 5*z + 55. Let u(x) = 15*x**2 + 15*x + 165. Let a(o) = -7*b(o) + 2*u(o). Let n be a(15). What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -345697, -1382669, -3110963, -5530579, -8641517, -12443777?\n\"Answer: -345661*g**2 + 11*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -1331?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 9*f + 2. Let s be m(10). Let r = 3 + s. Suppose 4*k - 19 = 5*p, 25*p = -k + 30*p + 16. Sort -2, k, r in descending order.\nAnswer: k, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3))**(2\/7))**(9\/10))**(4\/9) assuming n is positive.\nAnswer: n**(8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6223*c + 2*c**4 + 3115*c + 3110*c + 7*c**2 in the form t*c**4 + l + y*c + x*c**3 + i*c**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33685548 to 3 dps.\nAnswer: 0.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 261499264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (4 - 25)) + -18 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*m**2\/7 + 36756*m\/7 + 640224\/7.\nAnswer: -4*(m - 936)*(10*m + 171)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqccqehceehuh. Give prob of sequence yhu.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59184 and 134448?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**(-22)*u**(-1\/4)\/(u\/u**5*u)*((u**2\/u)\/u**(1\/14))\/(u**(-3)*u**(4\/7)) assuming u is positive.\nAnswer: u**(347\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*w**2 - 35*w**2 - 172*w**3 - 18*w**3 - 47*w**2 wrt w.\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.465 times -1?\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 17, g: 3}. Give prob of picking 2 g and 1 y.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*a**4 - 39*a**4 - 3*a**3 - 26*a**4 - 3*a + 4*a**3 to the form t*a**3 + k*a**4 + w + b*a**2 + n*a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {n: 4, z: 2, t: 10}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683370*y**2 + 341759*y**2 + 341751*y**2.\nAnswer: 140*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:55 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 4. Let o be u(-4). Suppose o = 5*n + 2 + 33. Let k(b) = b**3 + 6*b**2 - 7*b - 7. Determine k(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(0 - p + 0) - 4*p**2 + 3*p**2 - 2*p**2 + 2*p**2 - 7*p**2 + 4*p**2 - 25*p - 24*p - 10*p**2 + 51*p.\nAnswer: -15*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2. Let s(i) be the second derivative of -i**3\/6 + 3*i**2 - 3*i. Let f(u) = -3*u + u - 8 + 21. Let b(y) = 6*f(y) - 13*s(y). Calculate n(b(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let c(j) = 0*j**2 + j**s + 0 - 4. What is the units digit of c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17654284301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33686851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261755 is divided by 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437136 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = -3*g, -8 = 3*g - 5*y. Let w be (-2 - 3)*g - 1. Suppose q - w = -5*c + 3, 0 = 3*c + 2*q - 7. Solve -c = -l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 - 352562510*x + 6215016172875005 = 0 for x.\nAnswer: 35256251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*g - 3*r - r = 4*g + 54, -11*g - 4*r - 45 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 567 = -78*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-81)\/144)\/((-6)\/8)*4. Solve -4*t = -3*t - s*q + 15, -3*q + 15 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 804 times 6\nAnswer: 4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -248, 2\/9, 0.1.\nAnswer: -248, 0.1, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26488966 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -231*g**2 + 13*g + 19. Is u(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*1\/(-2)*2. Suppose -10 = 8*f - m*f. Calculate the remainder when (f\/3)\/(5\/(-75)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2269, 447, -1375, -3197, -5019?\n\"Answer: -1822*q + 4091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -1) + -4 + 3. Suppose y = -5*s + 4*s. Let u = s - -5. Which is the second smallest value? (a) u (b) 2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*g**2 + 25*g**2 + 25*g**2 - 33*g**2.\nAnswer: 104*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = h - 1 + 9, 3*k + 31 = -2*h. Let l be (-2 - -3) + -4 + (-92)\/h. Factor -l*j**2 + 18\/5*j - 4\/5.\nAnswer: -2*(j - 2)*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 9) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713535 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*l + 155, 5*i - 1 + 171 = l. Let n be (4\/20)\/((-9)\/i). Is n at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*r - 4*r. Suppose -3*a + r = -33. What is the common denominator of (-6)\/a - (-1)\/2 and -41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 5 + 9*k - 4*k + 2.\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -37 (b) -1 (c) -2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111, -127, -143, -159, -175, -191?\n\"Answer: -16*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30784351?\nAnswer: 13, 19, 124633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15225817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-5))\/((-4)\/3130). Suppose 3*s + 125 - 754 = m, 4*m + x = 3*s. Suppose -2*r - 28 + s = 0. Round r to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -8*y**3\/3 + 6*y. Let z(k) = -2*k**2. Calculate u(z(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 = -2, 5*z + 2*w - 172 = 0. Let x = z - 24. Calculate the lowest common multiple of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -32, -47, -68, -95, -128, -167?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 20.06644km?\nAnswer: 20066.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/67))\/l*l**36 assuming l is positive.\nAnswer: l**(2414\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49043.93 + -84.9?\nAnswer: 48959.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*o**2 - 49*o - 2*o**2 - 2 + 30*o wrt o?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -916, -3713, -8374, -14899, -23288, -33541, -45658?\nAnswer: -59639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -7.4. Let u = i - 0.9. Let h = u - -7.8. Round h to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r**5\/2 + 169*r**4 - 1060*r**3 + 2251*r**2 - 3911*r\/2 + 604 = 0 for r.\nAnswer: 1, 8, 151\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-79)*(-4820)\/40970?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.3. Suppose 10 - 6 = 4*z. What is the closest to 0 in m, z, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35073 and 74043.\nAnswer: 666387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**(1\/8))\/i*i)*i**(-7\/6))\/((i*i**(1\/8))\/(i*i*i\/((i**(-10)*i)\/i))))**(2\/59) assuming i is positive.\nAnswer: i**(65\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82158158 a multiple of 3456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/6))\/k*k\/k**(-24\/5) assuming k is positive.\nAnswer: k**(179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984684?\nAnswer: 2, 3, 31, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 8*i - 3. Let u be ((-56)\/(-12))\/((-2)\/(-3)). Let w be t(u). Solve 2*x + w = 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 588\/5 + -118. Let r = -0.55 + 0.55. Put u, r, -0.3, -5 in decreasing order.\nAnswer: r, -0.3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from qullllrpeelqueu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 0*k - k)*(80*k + 123*k + 173*k) to the form o + r*k**2 + f*k and give r.\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:36 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/15488 and -29\/7936.\nAnswer: 960256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 19*x + 15. Calculate r(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/14 (b) 5 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 32, 218, -2, -1, 22, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, 2\/17, -0.3, -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6300 divided by 1575?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -63, 0.2, -5\/2, 9.35?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**2 + 258 + 48*s - 4\/3*s**3 + 0*s**4 + 0*s**5 + 190\/7*s**7 + 0*s**6. What is the third derivative of r(m) wrt m?\nAnswer: 22800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -193 - (-14)\/(-21)*6. Let k = w - 163. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 67. Let a(o) = o**3 - 3*o**2 - 2*o + 179. What are the prime factors of a(w)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20297658 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.3 + 20.299996018. What is r rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcf when three letters picked without replacement from {d: 1, f: 5, c: 2, t: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 12:02 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*w - 12. Solve -y = 2*x + y + 10, w*y + 16 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 25. Let z(k) = k**2 - 14*k. What is z(i(m))?\nAnswer: 9*m**2 + 192*m + 975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031302002 (base 4) in base 9?\nAnswer: -535023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156358?\nAnswer: 2, 78179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 382206839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/38*44\/(-33)*9\/36\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -0. Let x(b) = b - b**2 - 2*b**3 - 3 + b**2 + b**3 + v*b**2. Is x(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88587, 177170, 265735, 354270, 442763, 531202?\nAnswer: 619575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 5*a - 13. Let u be l(3). Suppose -11 = -2*n - 1. Solve -2*q - u = 5*c, 10 = -n*q - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 693*b*p**6 + 984894*b*p**2 + 3741*p**4 + p**2 wrt p?\nAnswer: 83160*b*p**3 + 89784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 40*t**2 - 8*t - 21. Let j be 14 + -14 - (0 - 15). Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -25*u**3 - u**2 + 1. Give q(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7182)\/(-162) + -66)*(-54)\/(-165).\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/(12\/40). Suppose 31 = -i*o + 106. Let g = o - 10. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21575\/7 or -3083?\nAnswer: -21575\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 36*q.\nAnswer: 4*q*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**(36\/7)\/(v**(-3\/8)*v**(-2\/5)) assuming v is positive.\nAnswer: v**(-4103\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - (-246)\/9. Suppose 3*l + 4 = -y, 4*y = -0*l - 2*l + 4. List the prime factors of (28\/(-21))\/(l\/s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:47 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 8) to base 3\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 3*j + 236. Solve -3*p - j = -47 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 7*n + 3. Let t be k(5). Let p(h) = -h**2 - 8*h - 2. Let v be p(t). Solve -3*w + 11 = -0*w - j, 0 = v*w - 4*j - 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 278413?\nAnswer: 278413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + 1 - (-25 - (200 + -224 + -1 + -1))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429730234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6\/23))\/l*l**(1\/26) assuming l is positive.\nAnswer: l**(-133\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2\/629871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 + 29 - 36 + x - x**2 + x + 0*x in the form j*x + o + l*x**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 - 22 = 0. What are the prime factors of (16\/3)\/m*9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -181458.\nAnswer: 544374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -13 (c) -0.1 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74885 is divided by 10199?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*511.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(98))**2 + sqrt(3200).\nAnswer: 26*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2586 + 29*a + 2586 + 4*a**2)*(-2 + 21*a - 24*a + 3) to w + r*a**2 + b*a**3 + g*a and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000558408568 to seven decimal places.\nAnswer: -0.0005584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*c**2 - 99*c**2 - 4*c - 7 + 2*c + 3*c**4 - 95*c**2 - 2*c**4 in the form q*c + a*c**4 + g*c**3 + s*c**2 + b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -21. Suppose -3*r + t*f + 55 = -2*f, 0 = 3*r - 3*f - 45. What is the remainder when 17 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*z + 87*z**2 - 29*z**2 - 57*z.\nAnswer: 58*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-21)\/(-56))\/((-6)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, g: 4, d: 4, t: 1, j: 1, v: 4}. Give prob of sequence tww.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:25 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 37. Suppose h*p = 39*p - 102. Calculate the greatest common factor of 51 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702 and 3078?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -29*i**7\/7 - 87*i**3\/2 - i + 27. Find the second derivative of l(o) wrt o.\nAnswer: -3480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46635527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3146\/286)\/((4\/(-10))\/(10\/50))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1821, -1788, 4 in decreasing order.\nAnswer: 4, -1788, -1821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -22*c - 3. Let v(j) = 2*j. Let w(k) = s(k) + v(k). Let d(u) = 10*u + 2. What is -5*d(m) - 3*w(m)?\nAnswer: 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 2:38 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-28)\/(-21)*(-130)\/(-40)*(-60)\/(-80)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3808 + -0.4328. Round u to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63897*z**4 + 48373*z**2 - z?\nAnswer: -1533528*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*b**2 + 327*b wrt b?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1082 - -1085. What is the remainder when (-1)\/(-1 + 28\/29) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -4.\nAnswer: 87\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.6. Let n(f) = 3*f**2 - f + 2. Let v be n(-2). Suppose -2*w = 2*w - v. Which is the nearest to 0? (a) r (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12654994 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (16 - (3 - -10)) - (-3 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n + 18. Let q be g(-1). What is the common denominator of 2 - q - (-1)\/((-66)\/(-357)) and 31\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4 + (-55)\/(-22). Is 4 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0974 rounded to two dps?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**7\/420 + i**6\/100 - 9*i**5\/200 + i**4\/24 + 3*i - 20. Factor l(t).\nAnswer: t**2*(t - 1)**2*(t + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 97. Let x be d + (-3)\/(2 - 3). Does 24 divide (-1704)\/(-24) + (-2)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.312, 2, -0.5, -13\/54?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 21. Let x be c(-14). Suppose -39*a + 33*a = -54. Suppose -a = 358*y - 361*y. Solve 0 = -2*n - x + y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**2 + 4*q - 5. Determine z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1370, -2946, -4520, -6092, -7662, -9230?\nAnswer: -10796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6480, 6481, 6482, 6483?\nAnswer: 6484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2299 + 6708. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:37 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38a + 454?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)\/(-11 + 10). Is 115 - (0 + h + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 + 2*c + 7*c**2 + 0*c + 43*c**2 + 8*c**2 - 1 as r*c + s + g*c**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1219)\/69 - 9850\/(-591).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*g - 485*g + 1212*g - 7 - 23.\nAnswer: 212*g - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.01 - 3.29. Let w = f - 90. Let n = w + 158. What is n rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 1 + 6785*a**4 + 3*a**3 - 6842*a**4 - 3*a to the form k*a**2 + i*a + m + h*a**4 + x*a**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 2, h: 3, x: 1, j: 1}. What is prob of picking 1 h, 1 p, and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v**2 - 29*v - 96. What is the units digit of b(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 - 245. What is the remainder when v is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(78) - (sqrt(78)*2 - sqrt(78)) - sqrt(78))*1)\/(6*-2*sqrt(486) - sqrt(486)).\nAnswer: 2*sqrt(13)\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -78*g**2 - 30*g - 60. Let o(c) = 2*c**2 - c - 2. Calculate -90*o(m) + 3*q(m).\nAnswer: -414*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 435.\nAnswer: -435.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (573 - 573 + 38*t)*(6 - 4 - 4) + 3*t - 7*t - 11*t to q*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s. Let h(w) = -159*w**2 - 24*w. Calculate h(c) - 6*l(c).\nAnswer: -165*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 62680604.9.\nAnswer: 62680605.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8, -a - 1492 = -5*p - 254. Calculate the least common multiple of 248 and p.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4 - 1797*b**3 + 1806*b**2 + 3600*b = 0.\nAnswer: -600, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 9*k = -g + 876, -2628 = -3*g + 5*k. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/20 + z**4\/4 + z**3\/6 + z**2 - 2*z. Let o be (4 - (-3)\/(-6))*4. Let v = -17 + o. Calculate n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.085?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)*(1 + -3). Let o be 2\/7 + (-9)\/105. Which is the second biggest value? (a) h (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1265696*n**2*u**3 - 10630209*n**2 - u**4 wrt u?\nAnswer: 3797088*n**2*u**2 - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.16517 times 11\nAnswer: 1.81687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -200*v**3 - 3*v + 402*v**3 + 7 - 201*v**3. Let p(b) = -b**3 + 5*b - 13. Calculate 3*p(l) + 5*w(l).\nAnswer: 2*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 25 = l. Suppose -3*n - 10 = -2*s, 1 = -2*n + l. Suppose -y - 2 = -4. What is the greatest common divisor of y and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/24 + d**3 - 75*d**2 + 1. Determine g(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1063 at least as big as -1064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.68 + -2.86. Let g = -459174.81999976 + 459175. Let s = t + g. Round s to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from qygtgvtqtycyq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxubbbuw. Give prob of picking 4 b.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w - 51. Suppose 2*a + 9 + 7 = 0. Let p be h(a). Solve -9*f + 5*j = -4*f + p, 16 = 2*f + 4*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 5*c + 2*c + (c - 2 + 2)*(-2 + 0 + 3) - 2 + 2*c + 2 - 496*c + 234*c - 562*c.\nAnswer: -826*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-26781.3.\nAnswer: -107125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.976769635 to 4 dps.\nAnswer: 0.9768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -66. What is the third smallest value in r, -0.1, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/3 + 5\/((-585)\/186). Which is the nearest to u? (a) -0.3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 12:13 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2495*g**2*j**2 - 11933*g**2*j + 5*g**2 - 204*g*j**5 - g*j - 13*j wrt j.\nAnswer: -4990*g**2 - 4080*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Let u be n(1). Suppose 3*g - 9 = 12. Suppose u = t - d - d + 9, 3*t = 2*d - g. Is 10\/9 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15003489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -35*h**4 - 45*h**3 + 410*h**2 + 55*h. Let p(o) = -35*o**4 - 46*o**3 + 409*o**2 + 54*o. Let a(n) = 5*p(n) - 6*z(n). Factor a(x).\nAnswer: 5*x*(x - 3)*(x + 4)*(7*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**5\/20 + d**4\/12 - d**3\/6 + 3*d**2 - 4*d. Let f be p(0). What is the least common multiple of f\/(-27) - (-164)\/9 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -118, -240, -422, -670?\n\"Answer: -u**3 - 21*u**2 + 2*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-40) + 14\/36. Let v = m + 1\/12. Is 1 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -31. Let n(m) = -7 + 2*m + 0*m + 6 - 11. What is n(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1047.9 + 1048. Which is the second biggest value? (a) u (b) 4 (c) -1 (d) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 2, n: 3, m: 1}. What is prob of picking 1 o, 1 n, and 1 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -6*n - 30 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-8 - -11) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1431991 is divided by 6834?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:21 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2 in descending order.\nAnswer: 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 455*f**2 - 500*f - 48. Let i(q) = 91*q**2 - 100*q - 9. What is 16*i(r) - 3*o(r)?\nAnswer: 91*r**2 - 100*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 2. Let w(s) = -2*s. Determine w(b(h)).\nAnswer: -4*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + 10*j - 6. Let k be q(4). Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*j + d - 2, -10 = -4*j - 5*d. Suppose j*i = -7*i + 1127. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muzizzkzzuzu. What is prob of sequence ku?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -0.4, 6, -338\/5?\nAnswer: -338\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2871000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307 a factor of 133753100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(16\/5)\/((((l*l**(-2\/23))\/l)\/l)\/(l**(1\/13)\/l*l)))\/((l\/(l\/(((l**(-11)\/l)\/l)\/l)))\/(l*l\/(l**(-6)*l*l)))**(-6\/5) assuming l is positive.\nAnswer: l**(-24572\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 1593022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 140476451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/20)\/((-285)\/24 + 12). What is the nearest to -1 in y, 0.2, 11, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/t**(-5))**21\/((t**1)**(-43))**46 assuming t is positive.\nAnswer: t**2146","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -70732421.3 rounded to the nearest one thousand?\nAnswer: -70732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*k + 15, -13*k + 10 = 3*l - 18*k. Let b be 1\/2 - 3\/6. Let q be 6\/4*8\/3. Sort q, b, l in decreasing order.\nAnswer: l, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 17*m + 6. Let j be -1 - (-7)\/2 - (-3)\/6. Suppose 5 = t - 0*t + v, -3*t = -j*v - 27. What is the units digit of b(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3 + 7*r - 11064*r**4 - 278*r**2 + 11243*r**4 - 7*r wrt r?\nAnswer: 4296*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13889661?\nAnswer: 3, 4629887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 952 + -146. Is f a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*h + 123 + 129 = -20. Put h, 24\/13, 30 in decreasing order.\nAnswer: 30, 24\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1817590818\nAnswer: 1817590822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 14*o**3\/3 + 3*o**2 - 17*o - 29. Let m(h) = 5*h**2 + 2*h - 6. Suppose -18 = -7*z + 10*z. Determine z*s(q) + 17*m(q).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:02 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, -114, -183, -234, -261, -258, -219?\n\"Answer: o**3 - 88*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 11*f + 23.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 264486727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*6 + -18 + 84 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19291.\nAnswer: 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.3949345168023727 - -4466286066.3949340568023727. Let i = o - 4466286079. Let q = i - -44. What is q rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 5, a: 12}. Give prob of picking 3 n and 1 a.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 267272683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**3\/3 + 944*x**2 - 144384*x - 24882176\/3 = 0.\nAnswer: -44, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s*s*s*s**1)))\/s)**(12\/11)*s**(-2\/3)\/(s*(s\/(s*s\/(s\/((s*s**0*s)\/s))))\/s) assuming s is positive.\nAnswer: s**(155\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f\/f**8))\/((f\/((f*f**(4\/3))\/f))\/f))\/(f**0)**(2\/7))**(2\/53))**(1\/6) assuming f is positive.\nAnswer: f**(25\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -231.\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17284323 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -22 + 2\/5*l**2 - 108\/5*l = 0.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944540299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.289974km?\nAnswer: 628997.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8156 + 3397. List the prime factors of v.\nAnswer: 3, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 + 108 = -6*x. Let q = 59 + x. Sort 2, 4, 3, q in descending order.\nAnswer: q, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053006363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-140)\/(-2))\/((-10)\/(-325)*13). Let o be (2 + -77)*(-7)\/(g\/60). What is the greatest common divisor of o and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63847 divided by 3292?\nAnswer: 63847\/3292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9314432 millennia to months.\nAnswer: 11177.3184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o - 1. Let f(b) be the first derivative of -b**2 - 4*b - 1. Let w be f(-3). What is the units digit of n(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-28)\/(-20))*20. Find the first derivative of -2*l**4 + 0*l**4 - n - 3 - 4*l**4 wrt l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.3 (b) -1 (c) -3\/5 (d) -121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5211.29 to the nearest ten.\nAnswer: 5210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1038096438 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.325 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2826000 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h**4 + h**5 + 12*h**4 + (h**4 - h + h)*(3*h - 3*h - 2*h + (0 - 2 + 0)*(-h + 1 - 1) - h + 5*h - 2*h).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (6 - (3 - -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 + 20276*i + 6189460 = 0. Calculate i.\nAnswer: -19966, -310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*l - 4, 7 + 3 = 5*l. Let c be 63\/6 + 4\/(-8). Suppose f*b + b = c. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - 3. Let n be o(-3). Suppose -5*i - 52 = -i. Let q = n - i. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceeeeeee. Give prob of picking 3 e.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Suppose -4*j + 18 = 2*w, 7*j - 4*w + 10 = 2*j. Let t = j - -4. Calculate the smallest common multiple of t and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/25936 and -73\/16210.\nAnswer: 129680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -75*f - 3. Let q be h(-1). Let s = -69 + q. Suppose 354 = 3*b - 3*t, -5*t = s*b - 2*b - 136. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*x + 2226 - 2226.\nAnswer: 619*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -60135.49254 rounded to the nearest integer?\nAnswer: -60135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316 + 941 - 27*c - 312 - 313 + 26*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227147?\nAnswer: 3, 97, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-984)\/(-15)*25\/10 and 2.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 317186820 and 115020?\nAnswer: 951560460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 1. Let o(d) = -6*d + 6. Calculate 11*h(y) + 2*o(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -25*o. Let n(p) = -75*p. Give -11*i(m) + 4*n(m).\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 304648 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23175 divided by 309.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107309200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13787630 to the nearest integer?\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4679, -19469, -44113, -78611?\n\"Answer: -4927*y**2 - 9*y + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.283?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m**3 - m**2 - 2*m - 2. What is the remainder when 50 is divided by q(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:11 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*s - 8*s. Let v be (-6)\/9*(-1)\/s. Let x = -2\/537 + -1597\/3759. Sort 2, x, v in ascending order.\nAnswer: x, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)\/o**(18\/5))\/((o\/o**(2\/5))\/(o**33*o)) assuming o is positive.\nAnswer: o**(581\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7680, -16238, -24796, -33354, -41912?\nAnswer: -50470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*c - 3*c + 8, -3*c = -5*p + 5 - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w - 5. Let q = 0 + 3. Suppose k = -64*k + 3*k + 310. Let c(x) = -7*x + 3. What is k*c(p) + q*n(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - 13*w + 34*w)*(-69 + 141 + 293*w - 71) to p + i*w + u*w**2 and give u.\nAnswer: 5860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t*t**(-2)\/t*(t**(-1\/2)*t)**(6\/5))\/((t**4\/t**(2\/5))\/((t*t*t**6)\/(t\/(t\/t**(-3\/8))))) assuming t is positive.\nAnswer: t**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 460?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5833230 rounded to the nearest 100000?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*w = -869941, 92*w = -5*x + 91*w + 1449906. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19755.8 - -19756. Which is the nearest to -41? (a) 0.1 (b) 1 (c) 0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 208543.\nAnswer: 1042715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**4 + 382805*p**3 - 9769055985*p**2 + 83092332835575*p + 166223744957610 = 0.\nAnswer: -2, 25521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 2, n: 1, y: 3, w: 1, a: 4}. Give prob of sequence yaa.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -458 - -467. Is (-6)\/(-4)*(158856\/f)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3804627, -3804970, -3805313, -3805656, -3805999, -3806342?\nAnswer: -3806685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 107 - 60 = -5*k, -5*u = k - 46. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 587 and 5705053.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(11)*-2*2 - sqrt(11)) + sqrt(77)\/sqrt(63) + (sqrt(66) + (sqrt(66) - (sqrt(66) + -6*sqrt(66)*2)))\/sqrt(6) + -4)**2 + -1.\nAnswer: -200*sqrt(11)\/3 + 6965\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3134*v + 3180*v + 1058 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -20*u**2 - 2130188*u - 852072 = 0.\nAnswer: -106509, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/30 - 30159\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 divided by -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s + 34. Suppose -39 - s = -4*h. Calculate the remainder when h is divided by (8\/3)\/(3\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.48 - -591\nAnswer: 590.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4 = 4*a. What are the prime factors of (-157)\/a - -3*10\/15?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 26. Let l(b) = -4*b + 39. Let z(y) = 5*l(y) - 7*v(y). Let m be z(-9). Let j = m + -2. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -1895 + 1943. Let n(c) = c**3 - 3*c**2 + 7. Let h(y) = -y**3 + y**2 + 1. What is a*h(f) - n(f)?\nAnswer: f**3 + f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 366917752 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/1*-12. Suppose 2*w + 17 = p - 2*w, 4*w + 5 = 5*p. Let u = o + p. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -703 by 22.\nAnswer: -703\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 times -39347?\nAnswer: 196.735","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -827 less than -417918?\nAnswer: -417091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 - 47946*x**2 - 3*x + 47946 = 0. What is x?\nAnswer: -1, 1, 15982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157170762 divided by -22452966.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/85478939 and 53\/73267662.\nAnswer: 512873634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 219137349673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -1 + 10\/(-4) + 0. Factor 0 - j*h**2 + 3\/2*h.\nAnswer: -h*(h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {y: 3, f: 3, c: 2, s: 6, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2. Let c(k) = -5 + 1307*k - 1308*k + 5. Determine u(c(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5189*l + 8409*l + 4 - 4 + 2 - 2 - 2*l + (1 - 4 + 1)*(-l + 5*l - 2*l) + 0 + 0 + l - l - l + l in the form d + s*l and give s.\nAnswer: 3214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.65, 5, 240, 4 in descending order.\nAnswer: 240, 5, 4, -8.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/90 - 3*o**5\/5 + 13*o**4\/9 - 2224*o**2. Factor c(q).\nAnswer: 4*q*(q - 26)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2. Let i(a) = 17312*a - 2. Calculate i(h(z)).\nAnswer: -86560*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 471768.3 to the nearest 1000.\nAnswer: 472000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 4*b + 3. Suppose 4*k - 1 = -21. Let q be h(k). Is (3 + q)*(42 + -1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 27*d**3 + 816*d**2 + 1692*d + 336 = 0.\nAnswer: -28, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*c + 555750 - 145806, -409986 = -3*o + 2*c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1342*p**2*r**2 - 2*p**2*r - 6*p*r**2 - 8645*p*r - r**2 wrt r.\nAnswer: -2684*p**2 - 12*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 2*h + 98. Let g be k(0). Suppose 0*r + r + 4*y - 27 = 0, 5*y = 3*r - g. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 13*d = 801, -42 = 3*k + d + 1 + 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o + 20. Let l(g) = 5*g**2 + g + 4. Let q(z) = -z**2 - z - 1. Let w(j) = o*q(j) - l(j). Find the second derivative of w(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:33 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 7659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 152, 184, 216?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(((-14350)\/(-2300))\/41)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + 0*j**5 + j**5 + (-3*j**2 - 3*j**2 + 5*j**2)*(-3*j**2 - j**3 + 3*j**2) + (-4*j**5 - 3*j**5 - 11*j**5)*(3 + 0 - 5).\nAnswer: 35*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 - 87. Let z be 30\/14 - (-10)\/(-70). Determine j, given that j**3 - j + w*j**2 - 75*j**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 739148.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3869 - 19*d + 3869.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48741784 a multiple of 1886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 = 5*h, 1 = -5*z - 3*h - 2. Suppose 7*i - 9*i + 80 = z. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -25. Let z(m) = -m**2 - 8*m - 3. Let v be z(u). Solve -q + 0*q = -v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 72. What is the remainder when 144 is divided by (17 - 1*(t + -6)) + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 978, 985, 996, 1011, 1030?\n\"Answer: 2*a**2 + a + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(448) - ((sqrt(448) - sqrt(448)*-2 - sqrt(448)) + -1))**2 - (5*sqrt(84)\/sqrt(3) - (sqrt(252) + 2))**2.\nAnswer: -80*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 70?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*6\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.03 + -0.03. Let y = f + -10.7. Sort -1\/8, y, 3 in ascending order.\nAnswer: -1\/8, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 3*h**5\/20 + 7*h**4\/12 - 5*h**3\/2 + 5*h**2\/2 + h - 1904. Calculate d(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31237978.\nAnswer: 2, 61, 256049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 - 25 - 18*w - 21 - 21 + 122 to the form m*w + n and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 284, 527, 728, 881, 980, 1019, 992?\n\"Answer: -w**3 - 15*w**2 + 295*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288))\/(2*sqrt(900)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + 57.5. Let k = 33 - l. Let u = 22.948 + k. What is u rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.49, -1, -17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1405, 1423, 1453, 1501, 1573?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -2\/15, 11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*s**5 - s**3*v**3 - 28540*s**3 - s**2*v**3 - 2*s**2*v - s**2 + 35875*s*v**2 + 7 wrt s.\nAnswer: -4500*s**2 - 6*v**3 - 171240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mhwhwwn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/2)*k*k\/(k\/k**(1\/3))*(k**(1\/2))**(-3\/5) assuming k is positive.\nAnswer: k**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 8 = -5*t. Let u be 1\/1 - (4 - t). Suppose -3*h - 62 = -u*m - 5*h, 0 = 2*m - 5*h - 69. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 12. Suppose -48 = -2*f - 2*f. Solve -3*r = t + v, -t + 2*t - f = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209539\/4206558 - -2\/13929. Calculate the common denominator of l and -34\/15.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 220*b + 2100.\nAnswer: 5*(b - 30)*(b - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13657*l = -17160*l - 227695 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtk. Give prob of picking 1 q and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 4\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(5*(sqrt(180) + 2)**2 + 3)*6*-2.\nAnswer: -99684 - 12960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13034 is divided by 181.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 15*u + 13*u = 16, 0 = 2*m - 5*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18 - (9 - (3 - -3)). Let v be (28\/p)\/((-4)\/30). Solve 6*r = r - 3*q + 15, 2*q - v = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*p - 0. Let r be -1*(-5176)\/36 + (-4)\/(-18). Suppose -146*o + 10 = -r*o. Sort o, 0, p, -5 in descending order.\nAnswer: o, p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q - 2. Let u be b(6). Let k(s) = -16*s. Let z be k(1). Let g = u + z. Calculate the greatest common factor of 24 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/8 (b) -0.4 (c) 0.015 (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 - 4*c**2 - 4. What is the tens digit of v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v - 65. Let p be i(-4). Solve -p*h + 2*t = -8*h - 2, 4*t = 3*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 225270, 901092, 2027468, 3604404, 5631906, 8109980, 11038632, 14417868?\n\"Answer: d**3 + 225271*d**2 + 2*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8190, -32006, -71710, -127302, -198782, -286150?\nAnswer: -389406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:15 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -32332?\nAnswer: -33110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 20*v**3 - 3*v**2 + 3*v. Let a(h) = h**3 + h**2 - h. Calculate -3*a(f) - k(f).\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 65. Let v(z) = -16*z + 330. Calculate 11*d(o) + 2*v(o).\nAnswer: o - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1170, -2192, -3082, -3840, -4466, -4960?\nAnswer: -5322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*y**2 - 162*y**2 - 142*y**2)*(-4 + 2 + 1) + 7*y**2 - 3*y**2 - 2*y**2 + y.\nAnswer: 229*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51858 + -414863\/8. Factor -7\/8*o - f*o**2 + 1.\nAnswer: -(o - 1)*(o + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 + m + 1. Let k(v) = -17*v**2 + 4*v + 5. Let o = -5 - -3. Calculate o*k(c) + 9*y(c).\nAnswer: -2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffex. Give prob of picking 1 e and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) - (-345)\/225. What is the nearest to 0 in o, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 3*m - 4. Let i be q(-3). Let v(p) be the third derivative of -p**6\/120 - p**5\/30 + p**4\/4 + 8*p**3\/3 - 151*p**2. Is 4 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = p + 8. Suppose h = 5*h - p. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*t + 58*t + 270 = -72*t + 12*z, -30 = 8*t - 2*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 12. Suppose -i*r + 2*n = -74, 0 = 5*n - 2 + 22. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97413*g**2*m**3 - 2*g**2*m - g*m**4 - 7419*g*m**2 - g*m wrt m?\nAnswer: 584478*g**2 - 24*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/1503521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.277 * 25.67\nAnswer: -84.12059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205296?\nAnswer: 2, 3, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nim when three letters picked without replacement from gngnigigciciggcmig?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238200 rounded to the nearest one thousand?\nAnswer: 1238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*y + 21 = -3*u, y - 1 = -2*u. Solve u*h - 2 = -2*o, 0 = 2*o - 0*o + 3*h - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 - 1 = -3*t, 3*t = -4*n + 7. Let f = -2281 + 2281. Which is the nearest to f? (a) -0.1 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18149 divided by 5\nAnswer: 18149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/1*(-38)\/114*-9.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.5, -3\/2, -0.5, -8\/15.\nAnswer: -3, -3\/2, -1, -8\/15, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/41 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s - 145. Let a = s - 22. Does 5 divide 0 + 3\/(-3) - -7*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 1303.6313.\nAnswer: -1306.6313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - 108*w - 154*w + 195*w - 3514*w**2 wrt w?\nAnswer: -7028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*f - 102. Suppose -3*g + f = 4. Suppose 0*c - g*c = -63. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2 + 1157*n - 5. Let y(t) = 4*t**2 - 577*t + 2. What is 2*s(z) + 5*y(z)?\nAnswer: 2*z**2 - 571*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-1482)\/195)*(-9 + (-4 - -8))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6440, 5279, 4114, 2945, 1772, 595?\n\"Answer: -2*v**2 - 1155*v + 7597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -36. Let y be (3 + (-56)\/4)\/i. What is the units digit of y\/((-55)\/(-580))*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270198.993 + 0.059.\nAnswer: 270199.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*(-56)\/15120*45.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 459 + -211. Calculate the highest common divisor of 62 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 3. Let a(j) = -j + 4. Let i(f) = 3*a(f) + 4*d(f). Let b(y) = y**2 - 9*y - 7. Let h be b(10). Let p(t) = t. Determine h*p(l) - 5*i(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12548521 divided by 83\nAnswer: 151187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 23*a**2 - 2*a - 1. Let h be g(-1). Let d(x) = 2*x**2 - 3*x - 3. Let q be d(3). Let v be (q\/18)\/(2\/h). Solve v = -p + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1011001101101?\nAnswer: 1011001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/4 - 10*k**3\/3 + 5*k**2\/2 + 13*k + 1. Let u(r) = -r**3 + 3*r**2 + 2*r + 4. Let l be u(3). Does 26 divide b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/2669987?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1903 and 519?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*h - 5*r, -3*r = -2*h - r + 26. What is the remainder when 32 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from hhqhqqqqqhhhq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541749 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/16)\/(2\/(-16)*3). Let q be (26*p\/(-12))\/((-3)\/(-9)). Suppose a + 25 = q. Solve -5*g + 4*w + 2 = 0, -2*w = 5 + a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16481 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12351 is divided by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -214.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477938 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377\/5 + -75. Let t be ((-1)\/(-3))\/((-1)\/(-15)). Which is the nearest to p? (a) t (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544990*-0.317\nAnswer: -172761.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6049*j**2*t**3 - 26*j**2*t + 6*j**2 - 14*j*t**3 + j*t**2 - j*t + 7*t**3 + 11*t - 79 wrt t.\nAnswer: 36294*j**2 - 84*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20178542 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1086*p**2 + 937*p**2 - 660*p**2 - 2 + 0*p + 0*p to the form k*p + q + c*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23067b - 0?\nAnswer: 23067b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4191827 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -1.1. Let o = -0.13 + 0.23. Which is the smallest value? (a) q (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-62796)\/(-1) - (192\/8 + -31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8903 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.7 + 6.06. Let l = -9.64 - u. Which is the smallest value? (a) -0.4 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4887, 4884, 4873, 4848, 4803, 4732, 4629, 4488?\nAnswer: 4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p - 55. Suppose s + 4*b + 4 = -0, -b + 56 = 5*s. Does 14 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 848 - 500. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 17*n + l + 8 = 0, -3 = l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 5 + -10 - 0) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/2 (b) 0 (c) -17 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8372275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 25, 237, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h + 3. Let f(p) = p**3 + p**2 - 2*p - 4. Let m(n) = -4*f(n) - 6*v(n). Calculate the remainder when 100 is divided by m(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2651970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-12))\/(3\/(-9)) - 41. Is (23326\/(-5))\/(-2) - 16\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 3*m**2\/2 + 7. Let d(q) = -q - 5. Let b(r) = -r - 6. Let z(p) = 5*b(p) - 6*d(p). Determine h(z(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3347 (b) -4 (c) -33 (d) 0.4 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.3951 - -0.0369. Let o = 0.032 - r. Which is the biggest value? (a) -2\/3 (b) o (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22558250177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from {q: 9, g: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 7, -29, -1\/3, 2\/11?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -3*x - 322*f + 318*f, 2*x - 61 = -5*f for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 33 + n + ((2 - 2 - 2)*(n - 1 + 1) + 0*n + 3*n + 2*n)*(-5 - 3 - 10))*(2*n**3 - 5*n**3 + 2*n**3) + n**3 - n**3 + 2*n**4.\nAnswer: 55*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*a**3 - 48*a**2 + 6*a**2 - 119*a**3 - 118 wrt a?\nAnswer: -6*a**2 - 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5 and 52\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 534017535 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 8583.\nAnswer: 85830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 16485.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107 * 3.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72756560?\nAnswer: 2, 5, 909457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171479610 to the nearest integer?\nAnswer: 13095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 5*l, -l - 3*l = -s - 8. Let t = s - 7. Suppose 4 - 9 = -t*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30) - ((-224)\/(-30))\/(-16).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -3*u**5\/10 - 5*u**4\/4 + 15*u**3\/2 - 5*u**2 - 6*u + 3211. Let p(y) = 0. What is y?\nAnswer: -6, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.4 + -13. Let m = -3.3999983 + w. Round m to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5726619 divided by 1\nAnswer: 5726619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1801, -1805, -1811, -1819?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -23*v**2. Let c(y) be the third derivative of 0*y - 1\/24*y**4 + 22*y**2 + 0*y**3 + 0. What is t(c(p))?\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:15 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:20 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 991957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*77\/(-308).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:39 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*(-3)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-33)\/12. Let i(z) be the first derivative of -z**2 + 26*z + 45. Let b be i(12). Solve -o*h = -h + b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n - 9*n + 0 + 2.\nAnswer: -35*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -141, -155, -177, -207, -245?\n\"Answer: -4*u**2 - 2*u - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + 314. Suppose -10*f + 2*f + 160 = 0. Calculate the greatest common divisor of w and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5045 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by -165?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(100\/(-8) + 3). What is the smallest common multiple of 33 and ((-9)\/(-3) + i)\/(-2)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 7. Suppose -3*v + 3 = 0, 4*d + 4*v - 8*v - 12 = 0. Calculate the remainder when n(d) is divided by -2 - 8*(-2 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6853 and 36134.\nAnswer: 397474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7))**49*c*c*(c*c**(-2\/29))\/c*c*c**1\/c*c assuming c is positive.\nAnswer: c**(-9833\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/180 - o**5\/12 - o**4\/3 - 9*o. Let g(h) be the third derivative of q(h). Is g(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41006 and 7714.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 37 = 198 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303 - -305. Solve -g*w - 2 = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 12. Let o = z + 28. 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 the fourth root of 248346302 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 5. Suppose 0*r + 20 = 5*r. Let t be u(r). Solve 0 = -i - t*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -351252 and -3630836.\nAnswer: -3982088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 35190 = 10*a. Let f = -415 + a. What are the prime factors of f?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 290144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 1. Let l = u - 15. Calculate the common denominator of (-2)\/3 - l\/2 and 69\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10594447976610.7 from -3.\nAnswer: 10594447976607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Let o = 1251 + -1255. Put h, -5, o, -3 in decreasing order.\nAnswer: h, -3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmgmmmgggmgg. Give prob of sequence ggmg.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d. Suppose -6 = -5*t - 3*a + 54, 5*t - 2*a = 35. Let i(l) be the first derivative of -1\/2*l**2 + 0*l + t. Calculate i(u(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 165250 to the nearest one thousand.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 60. Suppose -2180 = -2*q - t. What is q rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 - 13*p + 4. Let f = -78 - -54. Let n = 22 + f. Let d(j) = 4*j**2 - 6*j + 2. Let b(x) = n*u(x) + 5*d(x). Factor b(y).\nAnswer: 2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**2 + 6*o**2 - 41 - 27*o**2 + 2*o - 10*o**2 + 11*o**2 in the form q + b*o**2 + d*o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v + 13. Suppose -y - 174 = 2*y. Find the common denominator of v\/6 + y\/(-21) and 42\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4.2. Let s = -205 + 205. Let w be (-2)\/2 + (-2)\/(-5). What is the closest to a in 2, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 5*v**2 + 11*v + 5. Let n = -1896 + 1899. Calculate q(n).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*r - 751*r - 6021 = -324*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 7*q**2 + 2*q - 7. Let w be h(7). Suppose w*d = 3*d + 8. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkegxgkwmmxw. Give prob of picking 1 g, 1 k, 1 x, and 1 m.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7942.99946775 + 7943. What is m rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/(-28) + -19)*((-205)\/(-30) - 7)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/178156 and 151\/18.\nAnswer: 1603404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llili. Give prob of sequence lii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*v - 68, 10 = 2*d - 0*d. Suppose 3*y - 22 = -13. Suppose -5*q = y*i - 7*q - 62, 3*q = 3*i - 66. What is the lowest common multiple of v and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b - 1. Suppose -7*s + 288 = -4*s. Let t be (-2)\/(-4)*19\/(152\/s). Give w(t).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -226. Let g be (-5)\/((-105)\/y)*(-1500)\/(-32). Which is greater: 31 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410075 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - 8 - 4*(-2)\/4. Solve 0 = -5*f + 3*f + 4*s - l, 5*s = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 7. Let f be l(6). Let i = 61 + f. Suppose -4*h + 144 = 3*v + v, 0 = v + 5*h - i. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3 - (-31 + 7 - 63 - -5)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 5*c**2 + 2*c - 3. Let l be 1*(0 + (-1 - 3)). Let m be (2\/l)\/((-2)\/16). Suppose -b + m*o = 9 + 3, 3*b + 8 = -2*o. Calculate v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-94)\/(-23) - (-82)\/(-943). Let o(g) = g**2 + g - 4. Let m be o(-4). Let p = -1 + m. Solve -3 = w*q - p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-25) - 4\/(-10). Let x(c) = 17*c - 1. Calculate the remainder when x(v) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**(-2\/11) assuming y is positive.\nAnswer: y**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03341169 rounded to four decimal places?\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.139 and 4.\nAnswer: 48.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0 + 0 + 1 + q - 1 - q - 3 + 3 + (-4 + 1 + 1)*(4 - 4 - q) + (4*q - 10*q - 3*q)*(-1 + 2 - 3).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*c**2 - a*o - a - 26*c**4 - 65*c**2*o + 2*o + 937 wrt c?\nAnswer: 4*a*c - 104*c**3 - 130*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 10:03 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 4:05 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/5 - 18*i**4 - 2996*i**3\/5 - 43218*i**2\/5 - 213003*i\/5 + 259308\/5 = 0.\nAnswer: -28, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8438 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*c = -9*c. Suppose -4*r + 460 = -c*r. List the prime factors of r.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (((-132)\/(-308))\/((-4)\/14))\/(4\/(-1024)) and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.058 - -0.058. Let o = i - -60. Put -0.4, o, -3\/2 in decreasing order.\nAnswer: o, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4502152\/7 + -643161. Determine s so that -k - 26\/7*s - 1\/7*s**2 = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b*b)**30*b**(4\/11)\/((b\/(b*b*b**8))\/b) assuming b is positive.\nAnswer: b**(-876\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 71 - 103*j)*(51 - 4*j - 7*j - 52) in the form t + h*j + z*j**2 and give z.\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36828556.\nAnswer: 2, 89, 103451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45 - -0.05. Let k = -4.4 + 4. Let f = 0.4 + k. Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196300166 to the power of 1\/2, to the nearest integer?\nAnswer: 34588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3 - 4*m**2 - 2*m**2 - 2*m**3 - 8*m + m**3. Let w be k(-5). Let h be (-1)\/((-789)\/(-396) - 2). Calculate the highest common factor of w and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*f, -19*f = -2*s - 16*f + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 140?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 - 28*k + 842. Calculate t(-18).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3234 and 28446?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71.2? (a) 0.5 (b) 6 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2\/3 - 750530*t - 2251592\/3 = 0.\nAnswer: -1, 1125796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 2*c**2 + 2*c + 2. Let t(h) = -h**3 - h**2 - h - 1. Let w be (5 + -7)*4\/8. Calculate w*g(f) - 2*t(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + l - 4. Let c(y) = -y**2 + 11*y + 9. Let t be c(12). Let z be k(t). Let g = z + 33. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*w + 68 - 68)*(1 + 0 - 3) + 2*w - 1 + 1 to q + r*w and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 24 = 2*l. Let w = -3 + l. Suppose -n + 0*n + 4*b = -w, 0 = 5*n + 3*b - 40. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*p = -385. Calculate the remainder when p is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujjjpu. Give prob of sequence uj.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45 + 46)\/(((-2)\/(-282))\/(-1)). Which is greater: g or -143?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23b0c (base 16) to base 3\nAnswer: 21102112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/6 - 11\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 400 = -5*v. Let m = 163\/2 + v. Let m + a + 1\/6*a**2 = 0. Calculate a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 17 + 35 - 18.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 33. Let m be 5\/35*-12*7\/2. Let y be (18\/m - -103)*1. Calculate the highest common divisor of y and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/4? (a) -0.04 (b) -4\/3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2288692?\nAnswer: 2, 7, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/8*6\/(-5))\/((-68)\/(-1904)). What is the greatest common divisor of v and 2618?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22103103 - -11?\nAnswer: 22103120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 26 + 48 + -50.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*b - 3*f + 27, b + 2*f - 8 = 0. Suppose -20 = -0*h + 5*h. Let r be -2 + h + 2 + 7. Solve r*m - 21 = -b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 0.3, 0.4, -0.3, 17.8, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/3)\/(12\/18). Suppose 7*z = 6*z + d. Suppose 0*c = z*c - 15. Let l(m) = m - 4. Give l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10452 divided by -1433\nAnswer: -10452\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shshhhhh. Give prob of sequence hs.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52360144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:49 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/132 - 1\/4. Solve r = m + 8 - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298496938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*p = -6, -4*l = l - p - 4. Let i(g) = 5*g - 1. Let a be i(1). Suppose a + l = f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4477035548 less than -1?\nAnswer: -4477035549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -658*z + 1 + 7 + 666*z. Is o(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 807558*z**2 + 1358673937764*z\/5 - 19020643730088\/5.\nAnswer: 3*(z - 672958)**2*(z - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 466.602l?\nAnswer: 466602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 - 23*y - 246. Let q(p) = -7*p**2 - 22*p - 220. Calculate -8*d(z) + 9*q(z).\nAnswer: -7*z**2 - 14*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28486832 - -110040.\nAnswer: 28596872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1896369 + 616317206\/325. Let h = i - -208\/25. Suppose 0 = f + 4*f - 5. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 2*d + 5. Let t be m(-5). Let s = t - -10. Solve 5*a + 0*a + 20 = s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 2*b**5 - 3*b**4 - 2*b**5 + 1 - 1 + (b**3 + 0*b**3 - 2*b**3)*(-2*b**2 + 0*b**2 + 3*b**2) + 3*b**5 + 52*b**4 - 52*b**4 - 3*b**5 + 0*b**5 + b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3639612984?\nAnswer: 2, 3, 7, 29, 106721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, j: 5, g: 3, l: 1, r: 2, q: 5}. Give prob of picking 1 j, 2 m, and 1 l.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 185510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0*y + 1\/156*y**4 + 20*y**2 + 0*y**3 - 1\/130*y**5 + 0. Factor t(n).\nAnswer: -2*n*(3*n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 6*g + 3. Let m be l(-6). Let b(u) = u**2 - 2*u + 1. Calculate the remainder when 6 is divided by b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 14*n**3\/3 - 5*n + 3375. Let s(r) = -3*r**2 + r**2 + 0*r**2. Calculate s(v(a)).\nAnswer: -1568*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(sqrt(132)*-2*3 + sqrt(132) - sqrt(132))\/(sqrt(12) + (sqrt(972) - sqrt(972)*-2 - sqrt(972))).\nAnswer: 18*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:48 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 62342*f + 249336.\nAnswer: 2*(f + 4)*(f + 31167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -34 + 516*p**2 + 34 - 522*p**2. Let m(x) = 188*x. Give h(m(b)).\nAnswer: -212064*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n = 200. Suppose -38 = -3*x - d, -x + 2*x = -d + 10. Calculate the least common multiple of x and n.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 3 + -4 + -2. Let h(s) = -s**3 + 6*s**2 - s + 3. Let t be h(5). Let q = t + b. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*v = 9, 2*t + 2*t - 5*v = 71. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -387 in 0.3, 3, -16, -2\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 10:44 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from llnllllllllnnllnnnl?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.191 - -292.791. What is s rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 803\/5 + -162. Let w = 0.25 + 27.75. Let g = w + -33. Which is the smallest value? (a) t (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqilcviv. Give prob of picking 1 l and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-6) - -1 - -4. Let 0 + 2\/3*k**2 - b*k**3 - 1\/3*k = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11388 + 24554. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1387 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 divided by -5?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e6e0 - -3c?\nAnswer: -e6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 12:31 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (80\/24)\/(1 - 15\/9). Suppose -j + 1 = -2*j. Put j, h, -2\/9 in descending order.\nAnswer: -2\/9, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - -32. Suppose 0 = 3*h + 14 - b. Let d = h + -63\/4. Are d and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -8 - 2. Suppose -t*h + h = 40. Let i(g) = 10*g**2 - 1 - 2*g - 74*g**3 + g + 147*g**3 - 10 - 72*g**3. Calculate i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*s + 0*f = 250*s + 246*s - 2*f + 66, 0 = s + 3*f - 37 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8907 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -946 and -3.51049.\nAnswer: -949.51049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k - w + 234 = 0, 5*w = 4*k - 927. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2931*v**2 - 20*v - 25*v + 2934*v**2.\nAnswer: 3*v**2 - 45*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uawv when four letters picked without replacement from uwzzuubbuuvwa?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 112. Suppose 4*y - 6*y + 6 = 3*d, f*y - 2*d = -4. Sort -3, -5, 4, y.\nAnswer: -5, -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*t = 537*t + 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 450 = -89*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/49 and -59\/676144?\nAnswer: 4733008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 - 1 - 1 + 3 - 5 + (-2 + 2 + 1)*(-3 - 1 + 6) + 4 - 2 - 3)*(343*s + 24 - 175*s - 170*s) to the form g + z*s and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttjj when four letters picked without replacement from wwtjtwwttjwwtwwj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -6919?\nAnswer: 6227.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 18. Let c be i(0). Suppose -2*d - 2*d - 20 = 0. Let u = d + c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 5*h - 3. Let l be m(-3). Suppose 3*f = -4*x - 2*f + l, 0 = 4*x + 4*f - 4. Let j = 1881 + -1879. Solve 3*v - j*s + 14 = 0, 12 = x*s + s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1223?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 + 6. Let h be f(6). Suppose b + h*u = 2*u + 24, 0 = -3*b + u + 7. Solve p + b*p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.90716 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5045.\nAnswer: 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -853919096.456 - -28?\nAnswer: -853919068.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*w + 1958 - 768. Sort 4, -3, w.\nAnswer: w, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 237.9999879 - 238. Round f to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1. Let m(l) = -1. Calculate 2*m(d) + t(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211\/72 - -125747\/504. Let k = c - 252. Find r such that 0*r - 6\/7*r**3 - 3\/7*r**2 + 0 - k*r**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 6 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -11. Let o = 2 - p. Does 4 divide (36\/(-10))\/(o\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -897, -1514, -2151, -2814?\nAnswer: -3509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 2 - (-4 + -13 - 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/(0 + 160\/(-3240)). Solve -649*m = -646*m - l for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4872.154ml to litres.\nAnswer: 4.872154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 0, 5*a - 2*h - 5 - 5 = 0. Suppose -3*i = 2*j - 0*j, 3*i + 24 = a*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p = -15*p - 54 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2602165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 8) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2093366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373 + -367. Suppose 0 = -x - 4*y + 1, 4*x - r*y - 80 = -3*y. Calculate the greatest common divisor of 272 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1601*f + 833*f + 393*f - 417*f)*(0 - 1 + 3 + f).\nAnswer: 2410*f**2 + 4820*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**41\/(o**(7\/3)*o*o**(2\/5)*o) assuming o is positive.\nAnswer: o**(-317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183793*p**2 + 222369*p**2 - 406154*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8499000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0*y**6 - 3*y**2 + 0*y**5 + 0*y**3 + 0 - 1\/336*y**8 + 0*y**7 + 0*y + 1\/6*y**4. What is the second derivative of s(h) wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from sgcosggrosocrogc.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -8096?\nAnswer: -1\/4048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a minute?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, -87, -218, -337, -420, -443, -382?\n\"Answer: 4*p**3 - 30*p**2 - 57*p + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325402938*b**2*q**2 - b**2*q + 2*b**2 - b - 3*q - 916049 wrt q?\nAnswer: -650805876*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2204 - 2139. Calculate the highest common factor of w and 1599.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.21 + -1.21. Put x, 1\/3, -1\/5, -6 in descending order.\nAnswer: x, 1\/3, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2821*c + 75. What are the prime factors of z(-2)?\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {a: 6, r: 6, l: 7, f: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 5:23 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33916.1211*-1.\nAnswer: -33916.1211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208.6 + 208.9. Let f = -100.2 + 100. Let b = -2 - -2. What is the second smallest value in b, f, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36276*u - 30450 = 36682*u for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/275 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -15*x**4\/4 + 12*x**2 - 16. Find the second derivative of y(c) wrt c.\nAnswer: -90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3152776 and 10648.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/4 - 1184\/(-4)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from djfuf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28504 - -85510\/3. Which is the closest to -20\/9? (a) o (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*z**3 - z + z - 4767646296860*z**2 + 4767646296860*z**2.\nAnswer: 111*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813541 is divided by 135588.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -3 (c) -2 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 20*p - 5. Let m be n(-4). Let c = -163 + 177. Let y = c - m. What is the greatest common divisor of 66 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7742 - 1.542. Let p = 1.23 + -1. Let g = p - d. What is g rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2*(0 + -1). Let y be 1*(0 + 0)\/(-1). Solve 0 = -a - 4*x + 7, y = -a + 2*x - 2 + p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38\/3 + -22. Find the common denominator of q and 5\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/4*-16*(-16)\/(-24) and 62.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w + 6. Let d = 12508 - 12504. Let j be (-216)\/(-120) - (0 - d\/w). What is the closest to -5 in j, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81\/35 + -13\/5. Let c = 17\/35 + t. Sort -0.3, -3, c in decreasing order.\nAnswer: c, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 337.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.8 + 4. Let c be (1 - (-40)\/(-44))*(-1927)\/1. Let q = -175 - c. Put -2\/5, y, 4, q in increasing order.\nAnswer: -2\/5, q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11050*d**3 + 11050*d**3 + 886*d**4)*((-1 + 6 - 4)*(0*d - d + 2*d) - 1 + d + 1).\nAnswer: 1772*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2195107 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 + 258. Sort t, -3, -13, -2.\nAnswer: -13, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**2 - 15*f - 23. Let d be x(5). Suppose -4*b + 4*c = -d, 2*b + 0*b = -c + 88. Calculate the highest common factor of 273 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -3349498?\nAnswer: 669899.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-35) - ((-365)\/1022 + (-1)\/(-2))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 2, o: 4, k: 1, p: 1, q: 2}. What is prob of picking 1 p, 1 o, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113.96 - 116. Let o = r + 0.04. Let z = -160.7 - -161. Which is the nearest to 0? (a) o (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f + 79*f + 12 + 16*f - 10 to the form y + i*f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.383 - 4.45602. What is h rounded to 3 dps?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 8) to base 14\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - 5.04. Which is the nearest to -1? (a) 2 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2271 + 1.303. Let l = w + 0.0241. Which is the second biggest value? (a) 1 (b) l (c) 28 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 38. Let g(f) be the second derivative of -f**3\/6 + 9*f**2\/2 + 2*f + 69. Calculate g(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 159?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1*(-2)\/(-1). Let o = -0.3 + 3.5. Let n = o + -3. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*q - 336*q + 239*q - 392*q.\nAnswer: -760*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 - (0 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -841, -1673, -2505?\nAnswer: -3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5\/5 - 17*r**4\/5 - 24*r**3\/5 - 13*r**2\/5 - 2*r\/5 = 0. Calculate r.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)\/t)**(1\/5)*t\/(t**(3\/4)*t)*t*t\/(t\/t**(-8)))**27 assuming t is positive.\nAnswer: t**(-2133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007765883827 to seven decimal places.\nAnswer: -0.0077659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -47. Suppose 0 = 5*f - f - c, -2*j - f = 114. Is -58 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359 - 127*b**2 + 169 + 190 - 56*b**2.\nAnswer: -183*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 5*k + 14. Calculate p(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 11*l + 8*l + 44*l**3 - 23*l + 2*l**2 + 4*l as z*l + w*l**2 + n*l**3 + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-51)\/(-46))*56\/(-70). Let x = 132 + -259\/2. What is the closest to k in 5, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1420, 1447, 1480, 1519, 1564?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 - 2.8. Let h = 2.65 - -0.25. Let j = h - x. What is the biggest value in j, 0, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27627401\/3056 + -97590\/191. Let t = 8534 - n. Let x = 446\/35 - 13487\/770. Find the common denominator of x and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(11)*2*2)**2*2 - (-5 + sqrt(88)\/sqrt(32)).\nAnswer: -sqrt(11)\/2 + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from jbjlllbl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2894*z + 49201. What is j(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -0.35, -4, -1?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 626. Let v(i) = -i**2 - 178. Determine v(a(b)).\nAnswer: -9*b**2 - 3756*b - 392054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 9. Suppose -j*y = 4*o - 17, -4*o = -3*y - 6*o + 11. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - -1*(99 - 6) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (140\/(-16))\/(-5) + (-3)\/(-12). Let r = 0 + -2. Let o = y - r. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017904 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -3. Let b(r) = -3*r**3 - 13*r**2 - 2*r + 12. What is the units digit of b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.2 - -9.8. Let a = -31.2 + f. What is the nearest to a in -5, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157 is divided by 188?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*y + 3*y + 5, -2*z - 2*y = 0. Is (2 + 0)*((-22485)\/(-10) - z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = 23*m - 8096. What is the greatest common divisor of 88 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m - 23*m + 17*m - 125 + (-5 + 1 + 3)*(-m + m - 2*m).\nAnswer: 4*m - 125","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11 - 1 - 10*w + 9 + 3. Let d be (-2 + 2 - 3)*6. Is b(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.229817 centimeters?\nAnswer: 0.04229817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2128\/(-4584) + 2\/(-3). Let i = x + -16931\/3438. What is the common denominator of 71\/8 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, w: 2, i: 3}. What is prob of picking 2 q and 2 i?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 67690891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -552.94?\nAnswer: -165.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = -2*o - 4*o + 8*o - 81, 0 = -5*o + 4*q + 36 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 500, 5, -4, 1, -10 in decreasing order.\nAnswer: 500, 5, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.5 times 0.581?\nAnswer: -105.4515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/(g**(4\/9)\/g))**(-40)\/((g*g\/g**(2\/7)*g)\/g**1)**(-34) assuming g is positive.\nAnswer: g**(34576\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 1 - 1)*(j + 3*j - 2*j)*(-1622 - 3922 - 4323 + 3176).\nAnswer: -26764*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 14112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/36)\/(72\/6192*43).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 9\/2, -5\/34, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102010221 + 12100?\nAnswer: 1102100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((8990\/217)\/(-29))\/((-1)\/21). Sort -5, -11, k.\nAnswer: -11, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 + 192*p**3 - 2716*p**2 + 9168*p + 30800 = 0. What is p?\nAnswer: -2, 11, 14, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*z + 5184 = -203*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133331010404 + -1?\nAnswer: -133331010410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*m**2 + 191*m**2 + 24*m**2 to q*m + h + t*m**2 and give t.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-18)\/(-35))\/(2\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 318*t - 643*t + 322*t. Let m(p) = -6*p. Let h(g) = g**2 - 42*g. Let f(w) = 6*h(w) - 42*m(w). Calculate u(f(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 - 67176*y**2 - 872252*y + 6041160 = 0.\nAnswer: -16781, -18, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867249, -867254, -867263, -867276, -867293, -867314?\nAnswer: -867339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(4)*-1*-6) + 5 + (sqrt(147)\/(sqrt(14)\/sqrt(2)))\/(sqrt(7) + sqrt(7)*2*-3 + sqrt(7) + sqrt(7) + sqrt(7) + sqrt(7)))**2.\nAnswer: -25*sqrt(3)\/3 + 325\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -4.746?\nAnswer: 4.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:08 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -63 + 58?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 28*r**2 + 14*r + 27. Let w be o(15). Let s be 6 - (w\/40)\/(-12). Let y = -9 - -32. Which is the second smallest value? (a) s (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)\/((16\/(-200))\/(-2)) - 5. Solve -5*r - m = 5*c, -4*c - 2*r = -r + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/11)\/((v*v**24\/v)\/v))\/(((v\/(v*v**(-30))*v)\/v)\/(v*v**36)) assuming v is positive.\nAnswer: v**(-175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 449098272 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 532.3 (c) 0.2 (d) 7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19824?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*(44\/8 + 2). Suppose -3*m + 6*m = -n + 12, 0 = -u*m - 3*n + 24. Which is smaller: m or 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-10))\/((-4284)\/1190))\/(-13*2\/(-12))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 35*c - 17. What is the units digit of b(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*b - 14 + 10, 0 = 5*g + 2*b + 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhehzhzhzzzk. Give prob of sequence zuke.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(3 - 3 + 1)*(-5*d + 3*d + 4*d)*(2*d**4 + 3*d**4 - 3*d**4).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 6. Let f = 17 + -18. Let w(y) = y**2 - y - 1. Let d be w(3). Sort f, i, d in decreasing order.\nAnswer: d, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 6\/5*i**3 + 426\/5*i + 114 - 138\/5*i**2 = 0.\nAnswer: -1, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 2*c**3 - 31*c**2\/2 + 93*c. Let v be u(3). Solve r - 5*n - 2 = 0, 4*r - v*n + 6 + 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 15) to base 2.\nAnswer: 101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4788 by 1197.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67638704 and 560.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 b when three letters picked without replacement from {b: 4, f: 11, l: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -166, -165, -148, -109?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 536 and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12.9. Which is the closest to o? (a) -5 (b) -3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-5)\/(-125)*10. Suppose -3*i + 1 + 5 = 0. Let g(q) = q**2 - 7*q + 6. Let c be g(7). Solve c = -i*h + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3809*a + 533907 = -1323*a + 4001*a + 209557 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 30622022*m**3 - 183732180*m**2 + 367464392*m - 244976272.\nAnswer: 2*(m - 2)**3*(m + 15311017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14034 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 775999.4 micrograms?\nAnswer: 775.9994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42289681?\nAnswer: 7, 6041383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 - 3 = 0. Let c = -18 + 12. Let p = c - -6. Solve p = 2*l + h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 74. Suppose v*q = 27*q - 4844. What are the prime factors of q?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06353422091 rounded to six decimal places?\nAnswer: -0.063534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*c - 7*x + 2*x, -31 = -2*c - 5*x. Let h be 3*c\/42 - 0. Let r = h - 6\/7. Is 0 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.675675 micrograms in nanograms?\nAnswer: 5675.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by (780\/(-27))\/((-2)\/9)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 46\/7 (b) -5 (c) -176.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.6 (b) 0.1 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 - 4*m**2 - 9*m - 16. Suppose -4*s + 4 = 0, 2*s = 5*a + 4 + 13. Let q = 0 - -171. What is the remainder when q is divided by w(a)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 2*p - 1, -2*h = -3*p - 6. Solve h = s + 1 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/12 + 11*k**3\/6 - 95*k**2 + 5*k - 1. Let r(j) be the first derivative of x(j). Give r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -2\/21 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -63740*y + 1019840. Calculate k(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(-1 + sqrt(117)))**2.\nAnswer: -210*sqrt(13) + 2974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -15 (b) -0.5 (c) 408\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.938961 weeks?\nAnswer: 69.572727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11)*1*5).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-240))\/((-2)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 33\/14, 2, 1.1 in descending order.\nAnswer: 33\/14, 2, 1.1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.606403 micrograms in milligrams?\nAnswer: 0.009606403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74472 = -16*d - 13*d. What are the prime factors of d?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -30. Let l(i) = 10*i - 4. Let f(k) = -9*k + 3. Let a(v) = 5*f(v) + 4*l(v). Let n be a(d). Put 3, 0, n in descending order.\nAnswer: n, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 6*b + 4*b + (-139*b - 123*b + 45*b)*(1 + 1 + 0) in the form r + o*b and give o.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -245, -448, -723, -1064?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2. Let t(a) = -4*a + 13*a - 6*a. Determine t(n(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36, 48, 60, 72, 84, 96?\n\"Answer: 12*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 34 = 2*q + d, 0 = 5*q - 4*d - 15 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j. Suppose -2*c + 23 = -103. Suppose 5*b = 8*b - c. Let x = -18 + b. What is z(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1987 - 1150. Suppose -c + i + 29 = 0, -5*i - 118 = -c - 3*c. What is the greatest common divisor of h and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 176772*r + 395. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1096.9999992844 + 1097. What is o rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*k - 3*v, 31*k - 4*v = 27*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 13*g**2 + 12*g - 9. What is the tens digit of r(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 18179*s - 436872.\nAnswer: (s - 24)*(s + 18203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*i - 48810 + 48394 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -1147522.\nAnswer: -10327698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*w - 39 = 0, 0*x = 3*x - 5*w - 28. Suppose x*v + 3 = 14*v. What are the prime factors of v\/7 + 17416\/196?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2857397.684 to the nearest 100.\nAnswer: -2857400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 244*r**2 - 14887*r + 190. Determine g(61).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-10)*(-780)\/1768. Let x be (-1 - 0)*47\/153. Let m = x - j. Which is the closest to -1? (a) -0.5 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 5*a**2 + 2. Let v be o(5). Factor 2*s**2 + 2 - v - 6*s + 4.\nAnswer: 2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 11 + (10 - 14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9916 - 5043. Is 55 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/3 (c) -3\/4 (d) -2 (e) 12\/7 (f) 1\/541\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 - -137. Which is the nearest to 0? (a) s (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -49. What is the lowest common multiple of 34 and r?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a*(a*(a*a\/a**14)\/a*a)\/a)\/a*a*a)*a*a)\/(a*a*((a*a**(1\/12)*a*a)\/a)\/a*a)*(a*a**15)\/a**(2\/11) assuming a is positive.\nAnswer: a**(3397\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/178337538 and 49\/18?\nAnswer: 178337538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-8))\/(-3 - (-94)\/32). Let w(s) = s**3 + 3*s**2 - 3*s + 1. Let l be w(-3). Let c = a + l. Calculate the highest common factor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7304101 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: Is 406221797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)*t*t**(-1\/6))**22 assuming t is positive.\nAnswer: t**(341\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23572 (base 9) in base 7?\nAnswer: 64001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 0*t = 68 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 7*n - 10. Let x be g(8). Let c be x*(-6)\/8*96. Calculate the highest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n + 100. What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -95061*q**2 + 6*q - 5. Let b = -29 - -20. Let l be v(b). Round l to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**14)\/(i*i**(-1\/5)))\/(i\/i**(8\/3)*i\/(i\/(i\/i**(-1))*i)))**(27\/2) assuming i is positive.\nAnswer: i**(-1773\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -30\nAnswer: -17\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/7 + 219*j**3\/7 + 13542*j**2\/7 + 244996*j\/7 - 545928\/7 = 0. What is j?\nAnswer: -129, -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, 5, -1, -540\/17 in ascending order.\nAnswer: -540\/17, -1, -0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6330204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 0, -2*k + 166 = 3*u - 107. Let i be (-15)\/(-13) + -1 - 14\/u. Which is smaller: -0.018 or i?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 1\/4, -2\/41, -163\/7?\nAnswer: -163\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -9. Let c = 369399 - 369397. Let b(p) = -p + 2. Let w(m) = -3*m + 4. What is c*w(o) + d*b(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -605 (base 7) to base 14\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7172 and 214842639.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12927 and -43\/3753.\nAnswer: 116343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 28. Calculate x(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 103, 149, 191, 229?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 16*k + 16*k - 18*k**3.\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3112026, 12448066, 28008122, 49792188, 77800258, 112032326?\n\"Answer: -k**3 + 3112014*k**2 + 5*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -14*y + 9*y + 9, 12 = -3*o. What is the nearest to 2 in -0.2, y, 16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4 + 1 + 2 - 2 + (6 - 3 - 1)*(-4 + 0 + 6))*(4*t + 0*t - 2*t) as o*t + m and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1104, -4, 3 in ascending order.\nAnswer: -1104, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z + 3*z)*(5 - 2 - 4) + (-3*z + z + 0*z)*(3 + 1 - 6) + z + z - z + 517*z + 835*z - 101*z as x + n*z and give n.\nAnswer: 1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2735.6 to the nearest ten.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 954\/(-4)*(-48)\/108. Suppose t*j = 101*j + 1440. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2240 + 1296. Let g = 922 + x. Let y = -3 + 8. Put y, 1, g, 3 in decreasing order.\nAnswer: y, 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-14)\/21. Let p = 1.96 + 9.74. Let d = 7.7 - p. Which is the closest to g? (a) 0.1 (b) 8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 = -15. Let z(w) be the second derivative of -1\/10*w**6 + 0*w**2 + 0 - 1\/20*w**l + 2*w + 1\/4*w**4 + 1\/6*w**3. Determine m, given that z(m) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 4, -293, -14, -473, 3 in increasing order.\nAnswer: -473, -293, -14, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53441864 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*x + 290*x + 6072 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*v - 76*v + 110. What is the closest to 1\/2 in v, -7, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -711, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 40 + -14 + 21 + 1\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*s = -14, 172262*v = 172259*v + 4*s + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, x: 5}. Give prob of sequence ssxx.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/27*3)\/(10\/285)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10479*o**2 - 10075*o - 7. Let i(f) = -3492*f**2 - 3359*f - 2. Let w(y) = 7*i(y) - 2*v(y). What is the second derivative of w(h) wrt h?\nAnswer: -6972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 3. Let h be b(2). Is (1\/1)\/(h\/937) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 21*b. Let w(n) = -5*n. Let z(d) = 2*l(d) + 9*w(d). Let o be z(8). Let r = 35 - o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(5700\/(-60))\/(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 80140 = 10*o, 0 = 5*j - 26*o + 23*o - 80161. What are the prime factors of j?\nAnswer: 2, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-12 + -10 + 18 + 19 - -23).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22991 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -457, -123, 3 in ascending order.\nAnswer: -457, -123, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81519*t**2 - 163458*t**2 + 81940*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 3*p - 4*u + 95, -p - 8 = 5*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 - -1657.\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 13010*c**2 + 0*c + 13009*c**2 - c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197261 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3109 = -1326*g + 1186*g - 2771 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16359 - 16359 - 4*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221221201001 (base 3) in base 14?\nAnswer: 3cb26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:49 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299383043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 286985426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (82*1)\/(((-412)\/1133)\/(6\/33))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1395 and 143\/558.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -b72e (base 16) to base 2\nAnswer: -1011011100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39430948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.8812 grams in nanograms?\nAnswer: 204881200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10) + 1534\/(-295)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3428 and 104554?\nAnswer: 209108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, 26, 53, 94?\n\"Answer: 7*n**2 - 8*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1045 + -412?\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -62, -53, -18, 49?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 14*o**5\/9 + 1606*o**4\/9 + 61784*o**3\/9 + 811072*o**2\/9 + 531392*o\/9 - 219488\/9 = 0.\nAnswer: -38, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7.671+-767\nAnswer: -759.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1439 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 33690?\nAnswer: 168450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715926 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 54*h - 337. Let v be m(17). Solve 2 = v*k + 2*d + 1, d + 1 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/90033220 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {u: 2, i: 1, r: 6, s: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(18*j**4 + 20*j**4 - 23*j**4 - 2).\nAnswer: -30*j**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46116 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1856?\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 14*g**2 + 20*g - 72. Let y be f(13). Let i be (-357)\/(-18) + (19\/6)\/y. What is the greatest common divisor of 30 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*t - 19, 0*j - 4*j - 44 = 3*t. Find the common denominator of (-737)\/352*t\/10 and -43\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 2. Let c be p(5). Suppose -9*i + 6*i = -36. Suppose -c*m + i = m. Solve -9*l + 4*l + 14 = -n, 10 = -l - m*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2. Let m(r) = 3*r - 17. Let u(i) = i - 6. Let w(d) = 6*m(d) - 17*u(d). Determine w(b(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*n - 3992 = 0, 4*n = 31*o - 35*o + 7972. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t - 5. Let x(h) = 10*h**2 - 20*h - 30. Let w(z) = 6*r(z) - x(z). Let a(i) = -5*i. What is w(a(c))?\nAnswer: -400*c**2 - 130*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/(i\/(i\/i**2))*i)))**(5\/4)*i**(-6)*i**(-9)*i assuming i is positive.\nAnswer: i**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r + 3. Let d(j) = -2*j**2 - 17*j - 6. Let y(f) = -4*d(f) - 9*g(f). Determine y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11146112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, 9798232, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/15, 0.025, 21, -1.\nAnswer: -1, -2\/15, 0, 0.025, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(4 + 63\/(-9)). Solve -4*m - f + 11 = -4*y, 0 = -2*m - 3*y + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -527490, -527502, -527514, -527526, -527538?\n\"Answer: -12*o - 527478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*m - 4*m. Suppose d + w = 421, -4*d - m*w - 235 = -1924. Let o(z) = z - 426 + d. Let f(n) = -n. What is o(f(q))?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 828171 and 1658.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 6*g = -19*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 98. Suppose x*a = 11*a - 20. Solve 4*v = -v + r + 22, -r = -2*v + a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 199075187248?\nAnswer: -199075187249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4064073, -4064095, -4064115, -4064133?\n\"Answer: n**2 - 25*n - 4064049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.44 - -3.56. Let k = -55 - -115\/2. Which is the nearest to -0.2? (a) k (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-24)\/(-45))\/2. What is the second smallest value in 0.4, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1188 divided by -9.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596880171 to the nearest integer?\nAnswer: 24431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2683, 2682, 2681?\n\"Answer: -z + 2684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1014918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*n = 4*i + 272*n - 5, 2*n - 6*n + 64 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 449497031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/335732487 or 0?\nAnswer: 2\/335732487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 - 84. Let a = y - 52. Solve 0 = -2*h + a - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, 71.\nAnswer: -2, -1, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i + 68*i - 2 = -2*b, i + 11 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 26 - (9 - 2) - (74 + -4)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {e: 11, h: 5}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5467*j + 4442*j - 8960*j.\nAnswer: -9985*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o = 28*o - 36. Suppose -3*a - 13 - 5 = 0. Let y be (6 - o)*2\/a. Which is bigger: -8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1))**(1\/4)\/(u*u**(-2\/13)\/u*u**(-1)\/u)*(u*u\/(u*u**(2\/9)*u)*u*u**(-3))\/(u\/u**(2\/7))**(-30\/7) assuming u is positive.\nAnswer: u**(40049\/11466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 15 + 21. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1934838 divided by 6.\nAnswer: 322473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5)*2 + sqrt(468)*5)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000100011011000110 + -11111?\nAnswer: -1101000100011011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 10*g**2 + 3*g + 35. Let c be u(6). Which is smaller: c or -461\/5?\nAnswer: -461\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -1, -1\/8, -21594.\nAnswer: -21594, -4\/3, -1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -420.38 - -423. Let s = q - 3.12. Which is the closest to -0.1? (a) s (b) 2 (c) -7\/15 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6815 divided by -1363\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -127, -359, -809, -1549?\nAnswer: -2651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1334*z + 4989*z + 27 - 1 + 250*z.\nAnswer: 6573*z + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 + 900. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504.6828 millilitres to litres.\nAnswer: 0.5046828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-6)\/(8\/4))*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6164342 centimeters in meters?\nAnswer: 0.006164342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1056*t**2 - 1984 wrt t?\nAnswer: -2112*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1797902*c**4 - 8457*c**2 - 6*c - 1 wrt c.\nAnswer: 43149648*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 76 - 131 = -3*n, 0 = -4*a + 2*n - 276. Let z = 73 + a. Suppose 2*u = 4*h - 354, -z*h + 495 - 126 = -5*u. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(468))*5 + sqrt(468) + (5 + (sqrt(468) + 0)**2 - sqrt(468)).\nAnswer: 30*sqrt(13) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -247 - 5135a?\nAnswer: -515a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 10*s - 5. Is k(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - i = k + 6820, 3*k = 2*i + 5120. Let s = -1074 + k. Round s to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.06797096\nAnswer: 3.06797096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 28*s - 44. Find the second derivative of 12*a**4 + 833*a**2 + 8*a - 1665*a**2 + 832*a**s wrt a.\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 361\/660?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 28*g**2 - 25*g - 26. Let y be r(15). Let z = y - -571. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -6)\/(4\/(-34)). Suppose -13 = -3*d + q. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(19\/((-2527)\/(-76)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5338 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o + 49. Let g be w(-8). Let c(h) = -23*h**2 + 1. Let v(b) = b**2 + 2*b - 1. Let j(n) = g*c(n) - v(n). Factor j(i).\nAnswer: -2*(3*i + 1)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 10 = 7*y - 17*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/5)\/(2\/(-10)))\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 61 and -1678748?\nAnswer: 1678809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:00 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -100102100?\nAnswer: 100102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3. Let q be (-3)\/(j + 2 - 1). Let w(f) = f**2 - 4*f - 3. What is w(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:11 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 50. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 302272?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 4. Calculate u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -95, 2\/37, 7?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -696.7 + 733. Let d = c - 35.3. Sort d, -19, 5 in descending order.\nAnswer: 5, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.41\nAnswer: -0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4879 - 4879.3. Put 6, -1, 48, w in decreasing order.\nAnswer: 48, 6, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20541 + -40 + 17)*9\/(-12).\nAnswer: 3, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*97\/(-2464188)*(-4)\/(-4)*3.\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1048 + 4*x + 14*x - 7*x + 13*x + 1047.\nAnswer: 24*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000059529497 to six decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20*l*l**(-3\/7)*l)**(-16\/3) assuming l is positive.\nAnswer: l**(-2416\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) + sqrt(20)\/sqrt(4))**2*3 + (sqrt(80) + 0 - sqrt(5)).\nAnswer: 3*sqrt(5) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25405 divided by 6.\nAnswer: -25405\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c - c + 2*c)*(0 - 3 + 0) + 4*c + c - 3*c + 2 - 2 - c)*(0 - 3 + 1 - 5*c) + 36*c**2 + 31*c**2 - 12*c**2.\nAnswer: 65*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.4552013 <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161922.5 in 3, -1, -0.2, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*w - 5*t + 47, -4*w - 8 = -t. Put -79, w, -4 in decreasing order.\nAnswer: w, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -10, -3\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4417, -8837, -13257, -17677?\n\"Answer: -4420*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52068917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-8 - -33) + -1 + -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, -6, 4, -3, 651, 7.\nAnswer: -6, -3, 4, 5, 7, 19, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 - 62*f + 248.\nAnswer: -62*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose -5*z + 7 = -i. Let l be -3 - (-2 + 0 - 1). Solve l = m - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/2042 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 25*j**2 + 965*j + 12369. Let l be g(-13). Are l and 4049 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h**3 + 8 + 8*h**3 + 4*h**3 to the form u*h**2 + n + s*h + d*h**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 2\/7, 113 in descending order.\nAnswer: 113, 2\/7, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1966.4734 * 0.1\nAnswer: -196.64734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 1091*i - 9 = -1090*i, -8*n + 24 = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -6, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:44 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 2*g = 19*y - 48, -2*y + 2*g = 8 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 10:59 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 11*l**2 - 3812*l + 26797. What is m(7)?\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 101*q - q**3 + 98*q + 6. What is the remainder when 137 is divided by x(-3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 25*o + 540. Let q be (-16 + 18 + (-68)\/o)*5. Let z = q + -743\/18. Calculate the common denominator of z and -83\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110.5745 + 107.37. Let m = p + 3.22. What is m rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*q + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 47.99999878. Round o to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 0*b)*(-2*b**3 + 0*b**2 + 0*b**2) - 2*b**3 - 5*b + 2*b**3 + 3*b**4.\nAnswer: 5*b**4 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 + 10*f - 7. Suppose -6*d + 22 = -14. Calculate c(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:51 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53430541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147085481 - -96308990. Let a = 50776464.000033 + y. Let q = -27 - a. Round q to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8594.962 + 8595. Round h to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f - 32. Let s be c(-5). What is the third derivative of -24*j**3 - 14*j**2 + s*j**3 - 16*j**3 - 45*j**3 wrt j?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7 + 2 + 0 - 104*x + 105*x. What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 - 3*u + 3*u + (-4*u**3 + 2*u**3 + 3*u**3)*(136*u + 138*u + 106*u) to the form h + x*u**3 + d*u**4 + r*u**2 + f*u and give d.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 237, 0.04, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-1196)\/117)*18\/56\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-36) - 12649\/1251?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3*(1 + -16). Let j(a) = a**2 + a - 5*a - 3 + 0*a**2. Let x be j(l). Solve 3*y = x*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1917c3 (base 14) to base 12.\nAnswer: -36997b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 15, z: 5}. Give prob of picking 4 y.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 10, 586624 in decreasing order.\nAnswer: 586624, 10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -177 + 59. Suppose 4*b = -y + 29275 + 17920, 35405 = 3*b - y. Suppose -j = -21*j + b. Calculate the greatest common factor of j and t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(((-5)\/(-6))\/(2160\/1944)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4180 and 836.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 204244882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m + 5 = 0. Suppose 4 = -2*b + 10. Is ((-147)\/(-9))\/(m\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**6\/40 - 273*x**5\/80 + x**4\/16 + 91*x**3\/8 - 5161*x. Determine g so that y(g) = 0.\nAnswer: -91, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*q = -14906, 198*d - 203*d - 5*q + 74550 = 0. What are the prime factors of d?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = 25*a - 38. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 67 = 10*t. Let o(i) be the second derivative of i**3\/6 + i**2\/2 - 2*i. Calculate o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 763 + -255. Let s = o - 243. Let h = s + 478. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, w: 2, f: 1, m: 1, x: 1}. What is prob of sequence wwmd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w. Suppose -h - a + 40 = w, 7*a = 2*a + 20. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -13. Let s be (12\/h)\/((-2)\/60). Let g = s - -4. What is the greatest common divisor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + m - 9*m + (-3 + 1 + 3)*(5 - 1 - 2)*(4*m - 3*m + 4*m) in the form k*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658601, 658606, 658611?\nAnswer: 658616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*p + 11*p. Suppose d = p*d + 3*l - 236, 712 = 3*d + 5*l. List the prime factors of d.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -896720, -1793438, -2690156, -3586874?\nAnswer: -4483592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1777, 1794, 1823, 1864, 1917, 1982?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j - 200 = -24*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6)**50\/(u**8*u*u*(u*u\/(u*u*u**12\/u*u))\/u) assuming u is positive.\nAnswer: u**303","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1798, -7427, -16786, -29851, -46598, -67003, -91042?\nAnswer: -118691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 + 2061*z**2 - 12495*z - 14553 = 0. What is z?\nAnswer: -693, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027235 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {r: 1, l: 1, z: 3, a: 6, w: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 504567 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1538*f**3 - f**2 - 63*f - 11. Let m(q) = -513*q**3 - 23*q - 4. Determine -4*g(t) + 11*m(t).\nAnswer: 509*t**3 + 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/539*7)\/(24\/7).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3531550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + 296?\nAnswer: 2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(320) - sqrt(320) - sqrt(320))*-1*2.\nAnswer: 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 2*h**3 - 18*h**3.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.705. Let r = 3 + -3.8. Let j = m - r. Round j to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35088 and 2924?\nAnswer: 35088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39140033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111313022 - 33?\nAnswer: 111312323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011376052 rounded to 6 dps?\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let a(p) = -1779 + 1779 - p. What is j(a(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2790 and 21\/5.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -4*k + 19. Let m be 28\/k*(-3)\/(-2). Let s(j) = -7*j - 2. What is s(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*a + 5*a. Suppose 0 = -3*y + 3*j + 30, -4*y + a*j + 30 = j. Solve 2*h = 4*w - 9 - y, -3*h - 14 = w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let q be (21\/6 - t)*0. Solve 3*c = q, 3*y - y - 6 = 2*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + 4*(sqrt(88) + sqrt(88)*-2) + sqrt(88))*-2)\/(-2*sqrt(200)*-2) + 3.\nAnswer: sqrt(11)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*o + 11 = 26, 4*c - 5*o + 5 = 0. Suppose -20 = 6*x - 8*x. Suppose -5*i = -3*a + 49 + 40, -c*i = -x. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19710 by -90.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7362.5 - 7362. What is the third biggest value in 2\/5, 2, -31, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 20*w**2 - 8*w + 6. Let d(v) = 7*v**2 - 3*v + 2. Let f(r) = 8*d(r) - 3*k(r). What is the derivative of f(a) wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 - 14*z - 3. What is the tens digit of c(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41088 (base 11) to base 13.\nAnswer: -213c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -350, -3, -2\/11, 16\/9, -4, 0.1?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t**2 + 0*t**3 - 5*t**3 + 9 + 13*t**2 + 0. Let o(f) = -f**3 + 2. What is -2*j(m) + 9*o(m)?\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 47 (b) 6 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 5*s + 6. Let r be i(-4). Let y = -1658 - -1674. What is the highest common divisor of r and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2887 * -0.12\nAnswer: -0.394644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -720? (a) -1\/6 (b) -0.04 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(50) + 2 + (sqrt(384)*-5)\/sqrt(12) - (((-3*sqrt(180))\/sqrt(9))\/((1*sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80))\/sqrt(8)))**2.\nAnswer: -10*sqrt(2) + 7\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 608*d + 25 + 4*d**3 - 27 + 2.\nAnswer: 7*d**3 - 608*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 39*j - 14. Let i be t(9). Let p = i + -479. Round p to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j - 1\/5*j**5 - 28\/3*j**3 + 5 + 16*j**2 + 7\/3*j**4. Suppose g(s) = 0. What is s?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-15)*75\/6. Let d be (-199)\/(-4) - b\/(-40). Suppose z + d = 4*q - 0, 3*q + 5*z = 49. What is the remainder when 24 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 v when three letters picked without replacement from ptfvcbpv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0 + 1\/36*m**4 - 1\/12*m**5 - 4*m + 0*m**2 + 1\/18*m**3 + 1\/30*m**6. Suppose i(s) = 0. Calculate s.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3495 and 23533.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyhhbhhhyy.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10457\/4134 - -399\/212. Let i = u - 1\/52. Let l = -37 + 35. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -289 at most -270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.16 from -1522687186.943.\nAnswer: -1522687187.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 11. Suppose 13*j + 12 = 10*j. Let a be w(j). Solve 2*h + 3 = -a*d + 14, -4*h = -2*d + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1243918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:42 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067 - 1787 = -56*c - 38*c - 94 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12424?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + a - 2)*(4 + 4 + 2) + 3*a - 3*a - a)*(-a - 4*a + 3*a).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -340*s + 373*s - 519483 - 830712. Calculate the highest common factor of s and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (927\/721 + 86\/(-7))*21\/7?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 38 - 3) + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 3. Let j be k(3). Suppose 5*x + 10 + 0 = j, 3 = -s - 4*x. Calculate the greatest common divisor of 45 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.93 + -0.73. Which is bigger: j or 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14196*y = 14216*y - 286860. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**2 - m + 0 - 1\/2*m**3. Let i(z) = z**2. What is j(i(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*c = -2*n + 585*c + 16, 5*c = 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/11))**15 assuming r is positive.\nAnswer: r**(135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 45 = -5*s - 3*x, 0 = 4*s - 5*x - 41 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - k**3 + 63419179*k**2 + 63419532*k**2 - 126838711*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/16)\/w**(-44)*(((w**27*w)\/w)\/w*w)\/(w\/(w\/(w\/((w**(-4\/17)*w)\/w))*w)) assuming w is positive.\nAnswer: w**(19265\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n = 30. Let o = n + 19. Suppose -a - 2*y = -48, -o*a - y + 75 = -131. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let n(c) be the first derivative of 2*c**3\/3 - 13*c**2 - 743. Determine r(n(j)).\nAnswer: 4*j**4 - 104*j**3 + 676*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:47 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -32. Let p(i) = -1. Let x(f) = 5*f - 3. Let j(a) = u*x(a) - 6*p(a). Let w(v) = -2*v**2 - 2*v**2 + 6*v**2. Calculate w(j(r)).\nAnswer: 200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 9*m**2 + 8*m. Let o be d(-8). Suppose o = -4*k - 5*a + 106, 4*k - k - 2*a = 68. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 80*a**2 + 75*a + 127. What is p(39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 41*k + 39*k = -22, -28 = 4*n - 2*k. Let m(o) = o. Let u(j) = -j. Give n*u(r) - 2*m(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 1.545703\nAnswer: 52.553902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13044)\/(-1860) - 7)\/(4\/(-20))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 3*f + 3. Let o be r(-2). Suppose w = 3 + o. Calculate the smallest common multiple of w and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**8\/168 + p**7\/105 + p**6\/30 - p**5\/15 - p**4\/12 + p**3\/3 - 7*p**2. Suppose s(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/8 + 10 + -1 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 42*j**2 - 38*j - 116. Let f be r(41). What is the third smallest value in 31, -0.4, 5, -2, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6331*i - 6 = 2*z - 6330*i, 0 = 2*z - 5*i + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*b**2 - 1 + 3 - 6*b**2 + 3*b**2 in the form m*b + h*b**2 + g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14729 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: Let x(c) be the second derivative of -2*c**6\/25 + 31*c**5\/100 - 7*c**4\/60 - 8*c**3\/15 + 2*c**2\/5 - 15*c. Determine r, given that x(r) = 0.\nAnswer: -2\/3, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.794 and -5569512?\nAnswer: 5569514.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53 + 55*o**3 + 44*o**3 - 128*o**3 with respect to o.\nAnswer: -87*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 21*z**3 - 378*z**2 - 864*z.\nAnswer: 3*z*(z - 16)*(z + 3)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(24)\/((-2*sqrt(144))\/sqrt(12) + sqrt(12)) - (sqrt(54)\/(sqrt(3) + sqrt(3)*-2))\/sqrt(9)))**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*i**2 + 0*i + 0*i - 1981*i**2.\nAnswer: -2710*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26152 and -0.4.\nAnswer: -10460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -272782188 rounded to the nearest one hundred thousand?\nAnswer: -272800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 5 + 6)*(-2 - 1 + 0) + 1 + 3 - 6)*(0*j + 3*j - j).\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.53 + -0.13. Which is the nearest to -1? (a) -11\/2 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 474.6 or 16?\nAnswer: 474.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*l**2*y - 502*y with respect to l.\nAnswer: 220*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313169409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.10694802 + -33.10696602. Let t = -0.88 - 32.12. Let h = t - x. Round h to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let t(j) = j - 8. Determine t(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2418926*q**2 - 1613 + 1613 - 2418962*q**2.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27827 - 60899 = 821*d - 10884 + 5900 for d.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-1 - l + 1) - 4*l + 3*l + 3*l - 5 + 5 + 3*l)*(l - 1 + 1).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 3, u: 1, k: 6}. What is prob of picking 1 k and 2 l?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - 20)) + -22 + 28 + 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*j + 3*j. Suppose 0 = 3*z + j + 10. Which is greater: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 13*s**2 - 14*s + 2. What is the least common multiple of 6 and m(7)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 841052640 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 10c?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 2 + 4. Suppose s + k = 33. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 17*q**2 + 124*q - 195. Determine f(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -14\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 47301, -84, 3, -5 in decreasing order.\nAnswer: 47301, 3, 2, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.35 and 99.07?\nAnswer: 34.6745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 9*z**3 - 4*z**3 - 8*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.502 rounded to 1 decimal place?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 4*a**2 + 6*a. Let b(s) be the second derivative of -s**4\/12 - s**3\/3 - 827*s. Give 8*b(c) + 3*u(c).\nAnswer: 3*c**3 + 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {o: 6, b: 3, p: 8}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let b be p(12). Let h be (-16 - b) + 32\/7. Let q be ((-1)\/(-1))\/(-1 + 0). Is h greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r + 13. Let v(n) be the second derivative of 5*n**3\/6 + 3*n**2 - 4*n. What is 7*v(z) - 3*w(z)?\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2769, -5545, -8323, -11103, -13885, -16669?\n\"Answer: -a**2 - 2773*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 5*r**2 + r. Let l be k(5). Factor -l*p**2 + 2*p - 1 + p**2 + 2*p**2 + p**2.\nAnswer: -(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 9:29 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -203*i + 2. Let r(y) = -604*y + 8. What is 7*p(v) - 2*r(v)?\nAnswer: -213*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/i)**(3\/4))**32 assuming i is positive.\nAnswer: i**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -30*u**2 + 125\/3*u**3 + 23 - 20*u - 45\/4*u**4. Suppose f(w) = 0. Calculate w.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0566874666 rounded to 5 dps?\nAnswer: -0.05669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -g. Let y(k) = -5*k - 8. Calculate the least common multiple of y(-6) and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2311810, -2311807, -2311804, -2311801, -2311798, -2311795?\nAnswer: -2311792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0 + 4*d - 1 - 3*d. Let u be z(1). Suppose j - 9 - 248 = u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-57*w**4 - 62*w**4 - 15*w**4) - 3*w**3 + 3*w**3 - 4*w**4.\nAnswer: 130*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 20 = -3*x + 8*k, -3*k = -x - 12. Suppose -3*g + 3*c = -42, -5*g + c + c + 58 = x. What is the lowest common multiple of g and 2*((-11)\/(-2) - 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -137, -136, -135, -134, -133, -132?\n\"Answer: j - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/36 - (3\/6)\/((-1)\/2)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-5)\/(-4) - 13\/(-52). What is the second derivative of -39*o - 2 - 29*o + 59*o + 133*o**k - 8 wrt o?\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 0, -3*r + 71 = j - 5*j. Let w = j + 31\/2. Which is the third smallest value? (a) 3 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1746\/360 - 5)*-2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 50, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-16))\/j**(-1\/12))**(-14) assuming j is positive.\nAnswer: j**(-1435\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let g(c) = -c**2 - 11*c + 8. Let z be g(-12). Let b be (2 - (-10)\/z)*-6. Suppose 2*w + 15 = 7*w, -15 = b*n - 3*w. Give h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 30*h + 34. Let k be v(-31). Suppose 6*a = a - l + 60, -k*a = 2*l - 43. What is the highest common divisor of a and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 104*o + 4 - 4.\nAnswer: 4*o**2 - 104*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543 is divided by 60?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5\/2 - 3063*q**4\/2 - 558171*q**3\/2 - 11110857*q**2\/2 + 11954247*q - 6118200 = 0.\nAnswer: -792, -206, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.024 + 0.024. Let w be -4 + 171\/30 - (-9)\/(-6). Which is the second biggest value? (a) w (b) o (c) 0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3987*x + 38 = 3998*x - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2718087*t**2 + 916289*t wrt t.\nAnswer: 5436174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5\/3 - 140*a**4\/3 + 2104*a**3\/3 + 4784*a**2\/3 = 0.\nAnswer: -2, 0, 26, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122487?\nAnswer: 3, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a hour in minutes?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -12*u - 146. Let o = 367\/5 + u. Factor o*k**4 + 216\/5*k + 162\/5 + 108\/5*k**2 + 24\/5*k**3.\nAnswer: 2*(k + 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/51, -2\/9, 0, -1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360753532, -360753533, -360753534, -360753535, -360753536, -360753537?\nAnswer: -360753538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 + 1114*t + 4269. Give a(115).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9866 is divided by 4167.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = 2*p. Let w be -2 + (3 + p - 2). Suppose l + l - 10 = w, 3*l = -4*d + 19. What is the greatest common divisor of 11 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f + 22 = 64. Suppose 0*r - 36 = -4*r. Solve -10 = -c - f*s, 0 = 2*c - 3*s + 6 + r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -9403903?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22431230.\nAnswer: 2, 5, 2243123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -14*m**2 + 83*m - 2. Determine o(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u**2 - 65*u**2 + 61*u**2.\nAnswer: 58*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -464, -450, -436, -422, -408, -394?\n\"Answer: 14*d - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.258 + -27.542. Let w = 28 + v. Let y = 3.6 - 4. What is the nearest to 0 in w, -0.5, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16952*s + 13. Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + l - l)*(-3 - l + 3)*(l + 3*l - 2*l) + l**3 + 5*l**3 - 4*l**3 in the form v + x*l**3 + w*l + n*l**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 92*d**2 - 354*d + 5. Calculate m(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1705010 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 1975333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**2 - 46 + 22 + 5*o**2 + 24.\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 11*v + 4. Let w(b) = b**3 + 6*b**2 + 6*b - 5. Let r be w(-5). What is the remainder when 25 is divided by l(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 12, c: 6}. Give prob of sequence cwfw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 839011729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -44*q - 201. Calculate a(-7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3258 and -65\/622278.\nAnswer: 622278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + n = -16140, -6*y + 8080 = -5*y - 3*n. Suppose -y = 43*q - 60098. Round q to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + -132 + 2 + 0 + (-5 - -15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1212 + 1211.6. Which is the second biggest value? (a) 15\/4 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from oafdafdidfa.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 2\/3, -2, 1\/4, -4\/7, -2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355580?\nAnswer: 2, 5, 23, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l + l + 4*n, -4*n = -4*l - 12. Let s be l + ((-5)\/4)\/(-1). Factor -1\/2*d**2 + 0 + s*d + 1\/4*d**3.\nAnswer: d*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -44 in descending order.\nAnswer: -5, -10, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose -o*d = -3*d - 32. Let r = d - -77. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c + 0?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249*y - 9395 - 6217 - 14748 = -269*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(0 - 5))\/((-8)\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731293 greater than 731293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19651789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -616 - -615.99768. Round q to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3551509, -7103029, -10654561, -14206111, -17757685, -21309289, -24860929, -28412611?\nAnswer: -31964341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10022 (base 3) in base 5?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 34687*l + 63 = -7*d - 34683*l, -5*l + 73 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 582469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760173081*r**2 + 968*r**3 + 760173081*r**2.\nAnswer: 968*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - ((-12)\/9)\/((-2)\/(-12)). Suppose 4*b - w - 49 = 0. Suppose b = -7*s + 29. Solve -d - 8 = 3*o, s*o + 2*o + 4 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*u + 77*u - 50 = 134*u. Let f = 1.3 + -0.3. Which is the nearest to f? (a) -6\/7 (b) u (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198815563*-8\nAnswer: 1590524504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2764?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2604412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1216443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5243 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-1 - (-14 + -44) - 0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42483*p - 660 = 42503*p for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 491 - 493. Put 1.6, -3, l in descending order.\nAnswer: 1.6, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 3*n**4\/2 - n**3\/3 - n**2\/2 - n - 1784. What is o(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = 3*z, -1 = -2*z - 3*f. Suppose 3*h - z*h = 2*y - 4, -2*h - 3*y = -9. List the prime factors of 2 + (18\/h)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*l - 6 - 6, 0 = l - 4. Suppose -5*z + 24 + 16 = f. Let x be -1*1*-2*(-100)\/(-40). Solve x*m - z - 17 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*u + 1. Let w = u - -6. Sort 1, 4, w in increasing order.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18\/61, -2\/9, 217, 4\/7, -1\/4, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -64*o**2 - 7 + 3 + 963*o**3 + 65*o**2 + 3. Is b(1) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26110471661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:04 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {s: 4, c: 1, e: 2, j: 1, q: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034644266?\nAnswer: 2, 3, 41, 155773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:39 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/42813 and 76\/3.\nAnswer: 42813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuppupuyupyuyxkuy. What is prob of sequence yu?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 26, -3, -1 in ascending order.\nAnswer: -7, -3, -1, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.125062 and -0.09811.\nAnswer: 0.026952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w + 548. Let a(r) = 11*r - 545. Determine 6*a(o) + 5*d(o).\nAnswer: o - 530","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -757 (b) 6\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 156 - 404. Calculate the smallest common multiple of 22 and n.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + p + 1. Let y be ((-2)\/((-8)\/(-61)))\/(9\/36). Let t = 77 + y. Suppose -t = 7*b - 3*b. What is u(b)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -515 (c) 0.7 (d) 12 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33759, 67515, 101271, 135027?\n\"Answer: 33756*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 905*w**2.\nAnswer: -w**2*(w - 905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40591235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 8. Let o = 26 + -30. Let q be l(o). Solve -5*t = w - 15, q*w + 7 = t + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 11*u**2 + 8*u + 8. Suppose -2*f = -d, -5*f + 14 = 5*d + 59. Let t be m(d). Sort t, 3, -2\/3, 4 in increasing order.\nAnswer: t, -2\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129358 - -115479. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*j + 20976 = -787*j for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -714 - 2965?\nAnswer: -3679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 146.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/13, 48, 4\/7?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = -5*p - 12, 4*m + 4 = 3*p. Sort 2, 4, -3, 3, p.\nAnswer: p, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561510361?\nAnswer: 561510361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (1*sqrt(187))\/sqrt(11) + 4)**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 310, -34, -10 in descending order.\nAnswer: 310, 13, -10, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2826 = -97*v - 129*v + 1016 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(2\/(60\/(-3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:58 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2451, 4418, 5897, 6888, 7391, 7406?\nAnswer: 6933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z - 7. Calculate g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -25\/4*g**4 + 0*g**3 + 0*g**2 + 0 + 13*g. Let r(w) = w**2. Calculate v(r(d)).\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -1. Let w(k) = k**2 - 6*k - 1. Give w(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 352362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 6:45 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 + 62*j**2 + 445*j - 20746 with respect to j.\nAnswer: -4*j**3 + 124*j + 445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*d + 161605 = 75751 for d.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 - 96 = -92*n. Solve -n*y + 7*y - o + 12 = 0, o = 5*y - 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/931008 and -131\/141024.\nAnswer: 105203904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*1)\/(sqrt(12)*-2*-2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 132114*a - 4363527249 = 0 for a.\nAnswer: 66057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/11 and -37\/342070273?\nAnswer: 3762773003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 49. Solve 0 = -5*a + 3*s + 21, -h*a + 24 = -5*s + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.282 (b) 1\/4 (c) 5 (d) -2\/5 (e) -2 (f) 562\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 2, -88 in decreasing order.\nAnswer: 2, -88, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584973?\nAnswer: 13, 121921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 take away -110?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404490196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2\/4 + (-23)\/(-2) and (3 - (2 + -8)) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h**5)*(1 + 1 - 4)*(-23 - 24 + 100).\nAnswer: 212*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 4 (c) 4\/3 (d) -2831\/7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**3\/3 + f**2 - 3*f. Differentiate u(c) with respect to c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -650*o**2 - 49*o + 4. Let x(j) = -649*j**2 - 59*j + 5. What is 6*c(d) - 5*x(d)?\nAnswer: -655*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5324*w**5 - 747200168*w**4 - 12228489504*w**3 + 21344091840*w**2 - 11884746816*w + 2182909824 = 0. What is w?\nAnswer: -18, 6\/11, 140362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/23, -3\/35, 0.1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516431, -516444, -516457?\nAnswer: -516470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**4 + q**3 - 5*q**2 + q. Let c(h) = 528*h**4 - 3*h**3 + 15*h**2 - 3*h - 2141. Let l(w) = -2*c(w) - 6*f(w). Differentiate l(r) with respect to r.\nAnswer: -4200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 718531 smaller than 718532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/7 - 30*n**3\/7 + 24*n**2\/7 + 30*n\/7 - 27\/7.\nAnswer: 3*(n - 9)*(n - 1)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -581*x**3 - 3*x**2 - 2*x wrt x?\nAnswer: -3486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025 and 5725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -666 - -665.7. What is the nearest to 1 in -0.24, 4, z?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 57 + 59. Suppose -h*l + 5*l = 6. Let z(d) = -2 - d**l + 5 - 2*d - 1 + 0*d. Give z(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152160 divided by 12.\nAnswer: -12680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 21, 40, 65, 96?\n\"Answer: 3*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*o + 123, 358*o - 4*q + 102 = 360*o. What is the smallest common multiple of o and 2014?\nAnswer: 6042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6280126 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20.883+-18929018938\nAnswer: -18929018917.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7200 and 8352.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/42 - (-2)\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155.2 - 155.5. Which is the nearest to -136? (a) -3\/5 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -282572?\nAnswer: 282575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40894 divided by 46.\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fseaaaaapaezppaafazp. What is prob of picking 2 a, 1 f, and 1 z?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*m - i - 30, -5 = -4*m + 5*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 17.3. Let s = -17.00009 + c. What is s rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.55 - 2.8. Let i = w - 1.75. Which is the nearest to i? (a) 0 (b) 0.2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)\/((b\/((b\/(b\/b**5))\/b))\/b))**(-3\/20)*((b\/b**2)\/(b**(-7)\/b))\/(b\/(b*(b\/(b\/b**(-7)))\/b)*b\/b**3) assuming b is positive.\nAnswer: b**(23\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - (222 + -233)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/c**(3\/2))**(-3\/10)\/(c**(-1\/13)\/(c*c**10)))**(-14) assuming c is positive.\nAnswer: c**(-19341\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846040 is divided by 233.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*f - 9*f**3 - 571*f + f**3 + 12*f**3 + 14*f**3.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**7\/1470 - i**6\/105 - 43*i**5\/420 + 43*i**4\/84 + 44*i**3\/7 + i**2 + 46*i. What is s in j(s) = 0?\nAnswer: -4, -2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**4\/f)*f*f**17 assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -2*q**7\/105 - q**6\/15 - 7*q**5\/30 - 7*q**4\/24 + 158*q**2. Find the third derivative of y(w) wrt w.\nAnswer: -96*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwho when four letters picked without replacement from {h: 9, y: 3, w: 2, o: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + (-6 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1702480 and 30160.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50741 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s - 125*s + 119*s. Let c(k) = 27*k. What is c(d(w))?\nAnswer: -378*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 10:33 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1bd3db (base 15) to base 12\nAnswer: -557752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = 439*j - 155*j - 2585 - 4528 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3163648 and 7104?\nAnswer: 9490944","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*k, 27*x - 5*k + 6844 = 28*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*z - 5 = -2*z, -44*z + 18*z = -23*z + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35805045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 16*p**2 - 38*p + 5. Calculate d(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4857, 2, -198 in ascending order.\nAnswer: -4857, -198, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 23*g**3 + 17*g**2 + 10*g + 6. Determine q(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7678, 15288, 22898, 30508, 38118?\nAnswer: 45728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 68*p - 22. Let m be w(22). Which is the nearest to 1? (a) m (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 10*r**2 + 13*r. Determine y(-10).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106549 is divided by 9888.\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3688794.\nAnswer: 2\/1844397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 106886152 to the power of 1\/3, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 343.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 26*y**2 - 2. Let i be t(2). Suppose 0*q - i = -5*v + q, 0 = -2*v + 4*q + 48. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -1338, -2151, -2964?\nAnswer: -3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/600 and 19\/1572.\nAnswer: 78600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + 3*(sqrt(72) + (sqrt(72)*-2 - sqrt(72))) + (sqrt(72) + -3 + 1*sqrt(72) - (sqrt(72) - (-5 + sqrt(72) + 0)))*-2)**2 + -1.\nAnswer: -1920*sqrt(2) + 7455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4686 divided by 1562?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/19 + -52\/133. Let h = -6 - -4. Let v = h - -1.5. Which is the second biggest value? (a) v (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 k when three letters picked without replacement from cxxxxebkkxxxxecxkkx.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436774 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 3 + 7*w**3 - 6*w**3 - 4*w**3. Let u(z) = z. Calculate u(l(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 3*d**3 + 35 - 6*d**3 - 35.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + q - 65 = -327, q = -o + 50. Let i be (-3 + 0)\/((-6)\/o). Let d = 62 - i. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, g: 2, p: 3}. Give prob of picking 3 p and 1 g.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38326\/1209 + 404\/13. What is the common denominator of -119\/18 and i?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316609 is divided by 9310?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 24375 + 81657 = 0. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/19 + 423591680*t\/19 + 22428738920652800\/19.\nAnswer: 2*(t + 105897920)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/111 or 1?\nAnswer: -4\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*g + 5. Is 12 a factor of 54*(g + 2\/8*14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) -23\/538 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r - 8 = 0. Let f = 46 - 28. Suppose 0 = -k + f - 6. What is the highest common factor of r and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -318 - -1027. Let s = 2177\/3 - y. Suppose -2\/3*n**2 + 20\/3*n - s = 0. What is n?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17047778 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*t - 49, 6 + 3 = 3*t. Suppose -4*k - q = -26. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 7) in base 15?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/14 + ((-1428)\/(-98) - 14). Suppose v = -4*u + 62, -v = 2*v - m*u - 186. What is the remainder when 185 is divided by v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.01, -3085 in ascending order.\nAnswer: -3085, -0.01, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(6\/(-3369))*(7 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 1685995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2476 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224 - 220. Let i(c) = -c**2 - 7*c - 4. Let n be i(-6). Let f be (0 + 1)*n - -1. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3910379 is divided by 46552.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -11227)\/(4 + (-18)\/4) a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/5 + 112*d**4\/3 + 442*d**3\/3 + 220*d**2 - 71*d - 9. What is f in b(f) = 0?\nAnswer: -110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340457 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391869*j = 391943*j + 740 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 480*x**5 - 11696*x**4 + 4222*x**3 + 52*x**2 - 96*x = 0?\nAnswer: -2\/15, 0, 1\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/136 - 4\/(-34) - 207\/36. Which is the closest to 0? (a) g (b) -3\/10 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*x - 10 = 295*x + 14. Solve 2*w - 12 = 4*z, 0 = 4*z + x*w - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1049 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 113167818.\nAnswer: -113167813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-2)*101\/(-707).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 946645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 0.5, 30, 0.0383?\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1968 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1001*(2352\/112)\/(-273).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 245*m - 3427. Let l be x(14). What is the nearest to l in -1, -8, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Suppose 2*f = k + 5. Calculate the lowest common multiple of f and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -521*h**6\/60 - h**5\/60 - h**4\/24 - 37*h**3 - 1786*h**2. Find the second derivative of i(c) wrt c.\nAnswer: -6252*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -51. Suppose y + a = 18 - 7, z = 5*y + 2*a. Suppose -y = -b + 9. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*o + 3*k + 94 = 314*o, -2*o = 2*k - 40. Calculate the highest common factor of o and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4312.7549 - -4315. Let l = 0.128 + -0.1129. Let m = l - u. What is m rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 1. Let q(n) = -n**2 + 4*n + 5. Suppose 4*h + 19 = -4*l + 5*l, -4*h - 4*l - 4 = 0. Let d(z) = h*r(z) + q(z). Give d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 13, 14, 17, 22, 29, 38?\n\"Answer: h**2 - 4*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1957098 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h*h**8*h))\/h*h*h)\/h**(8\/7)*(h**(-2\/19))**(21\/2) assuming h is positive.\nAnswer: h**(-1230\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o + 442 + 196 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7*h. Let j(w) = -4*w + 1. Let s be j(-3). Let c(r) = r**3 - 15*r**2 + 27*r - 7. Let l be c(s). Solve -2*f + h = l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*((2 - 2 + a**2)*(4*a**3 - 3*a**3 + 0*a**3) + 2*a**5 + 3*a**5 - 3*a**5).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 29. Let j(y) = -10*y**2 + 19*y**2 - y**2 - 7*y**2. Determine j(k(w)).\nAnswer: 9*w**2 - 174*w + 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 1)*(-16*w + 10*w + 2*w) - 2*w - 2 + 2 + (-2 - w + 2)*(3 + 3 - 4) + 3*w - 2*w + 0*w + 5*w - 4*w - 3*w as h*w + t and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 = 2*h + r, -2*r - 15 = 3*r. What are the prime factors of h\/207 - (2 - 1090\/3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -3, -0.4, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15060354 + -55?\nAnswer: 15060266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14129994 by 15.\nAnswer: -4709998\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/910 - (396\/(-13))\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1018\/14 - (-8)\/28. Suppose -5*h = -17 - x. What is the tens digit of (2 - 1)*(1 + h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35898 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13883717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - 1 - ((3 - (-9 + 10)) + 12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -5, 4 in descending order.\nAnswer: 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*f**3 - 10\/11*f - 12\/11*f**2 + 0 = 0 for f.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15202 - 521.\nAnswer: 14681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -383, -855, -1525, -2399?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxl when three letters picked without replacement from zzxxyloyxxxzzo?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*j - 26*j. Is (-5)\/(-10)*(6660\/(-3))\/j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -15, 46890, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 0*m. Let s = -41 + 29. Let o = 11.5 + s. Which is the closest to m? (a) o (b) -1\/3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8448 divided by 22?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12*i + 17. What is the least common multiple of u(-1) and 5?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2 + 0)*-2. Suppose 5*p - 21 = 34. Let f = i + p. Solve z - 2*z = -f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112.03 - -112. Let f = 7 + -3. Suppose -15*x - 55 = -4*x. Which is the smallest value? (a) x (b) f (c) 2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.2 (c) 7.249 (d) 0.1 (e) 2 (f) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*p + 47 - 297 = -33*p. Let w(m) be the third derivative of -11\/120*m**6 + 7\/2*m**3 + 0*m + 0 + 0*m**4 - 23*m**p + 0*m**5. Differentiate w(s) wrt s.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -8, 26 in descending order.\nAnswer: 26, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, -2 in increasing order.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301 (base 5) in base 8?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, k: 7}. Give prob of sequence kkkk.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -53*v**7\/42 - 2*v**4\/3 + 1537*v**3 + 133*v**2 + 21. What is the derivative of n(w) wrt w?\nAnswer: -1060*w**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -387 + 389. What is the units digit of (-1)\/l + (-23392)\/(-64)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -18\/5. Let q be (-3)\/35 + (-4)\/(-14). Which is the second smallest value? (a) l (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/281 (b) 57 (c) -0.165 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2959\/2 - -1478. Put 1\/10, 9.3, y in descending order.\nAnswer: 9.3, 1\/10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41787394.\nAnswer: 2, 11, 17, 111731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2119304, 2119323, 2119352, 2119397, 2119464?\nAnswer: 2119559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 6:01 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -756 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 336*d**2 - 4706*d + 10. What is r(181)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2616110 - -2?\nAnswer: 2616112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 2 = -5*o - 2*y, 5*o + 4*y = 40. Let a = -3\/4 + -23\/12. Let u = a - -19\/6. Sort u, o, 5, 3\/4.\nAnswer: u, 3\/4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/6)\/((-12)\/(-16)). Let x(f) be the first derivative of -8 - 15*f**6 + 14*f**6 - f**2 + 4*f**u. Find the second derivative of x(a) wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5 (c) -0.5 (d) -0.03 (e) -21.93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -4*sqrt(85)*4) + sqrt(85) - -2*(sqrt(85) - 1*sqrt(85)))\/(sqrt(245)*-2*-6 - -3*-1*sqrt(245)).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -37. Let t = v + -12. Which is the third biggest value? (a) -1 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/60 + 295*f**4\/24 + 148*f**3\/3 + 97*f**2. Factor j(a).\nAnswer: -(a - 296)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.71 (b) -1\/4 (c) -2\/331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjhfhjhjjejjfh. Give prob of picking 2 j and 1 e.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41578 - 41500. Let l(m) = 3*m - 6. Let i be l(6). What is the highest common factor of i and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 9*k - 16. Calculate y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 20*p**3 - 7*p**2 + 7*p + 7. Let q(i) = -19*i**3 + 6*i**2 - 6*i - 6. Suppose 0 = 2*x + 4*v + 6, 3*x - 2 = -3*v + 4. Calculate x*q(l) + 6*g(l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1452 and 4752?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418350 and 3225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15599280?\nAnswer: 2, 3, 5, 64997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 52. Solve 0 = -2*z - 6 - p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31297, 125186, 281665, 500734, 782393, 1126642?\n\"Answer: 31295*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3)\/(-2))\/((-38 - -61)\/138)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178654 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:12 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 39 + 75 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/5 + 4897*y\/5 - 4285596\/5 = 0.\nAnswer: 1141, 3756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {d: 7, f: 7, x: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fenh when four letters picked without replacement from hfmfmhmhehemfn?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - -118. Suppose n - 122550000 = v*n. What is n rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.87 - 0.13. Let d be (1 - (-57)\/15)*(-9)\/1260. Let j = d + -19\/175. What is the third biggest value in 5\/6, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*d - 173, 17 = -d - 5*g - 82. Let q = -888 - -817. Let u = d - q. Let k(l) = -l**3 - 5*l**2 - 3*l + 1. Calculate k(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - 6. Suppose 2*k = -2*j + 2, 0 = -j + v*k - 7. Which is the biggest value? (a) 4\/3 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 3*q = -387. Let r = -39 - q. Let s be 6 - (4 - (5 + -1)). Solve -s + 2 = -r*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.4. Let z = 157 + -146.5. Let g = z - 10.7. Sort g, -3, c in descending order.\nAnswer: c, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 47 + (-12)\/(-10)*(-65)\/26. Differentiate 2918*u + 146 + w - 2748*u wrt u.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16343.38 + -16343. Which is the closest to 1? (a) q (b) -15 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + 9*n**2 - 10*n - 13. Let k(q) = -5*q**3 - 7*q**2 + 12*q + 12. Let d(t) = -6*c(t) - 5*k(t). What is d(19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 178*r**2 + 3*r - 3. Let l(n) = -177*n**2 - 2*n + 2. Let a(w) = -3*l(w) - 2*q(w). Let m(z) = z. Determine m(a(t)).\nAnswer: 175*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2. Let h(z) = -26989*z**2. What is t(h(o))?\nAnswer: 3642030605*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -14526.\nAnswer: -1\/14526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2648 and -57\/28466?\nAnswer: 113864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*l + 4, 2*l + 13 = 5*s - 0*s. Calculate the remainder when 38 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 + -231 + 125 + -44\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - 0.02. Let r = b - 0.12. What is r rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5370584 divided by -1342646?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18841 + 18841.0000011339. Round q to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6020 - -b0?\nAnswer: c6100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**4\/8 - 11*v**3\/6 - 28*v**2 + 2. Let i(p) = -5*p + 11. Let d(b) = -2*i(b) - 3*j(b). Give d(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*p + 232, -3*g - 2*g + 2*p + 520 = 0. Suppose 5*i + 30 = 2*r, 5*r + 0*r = -3*i + g. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3882 + 0.0118. What is the third smallest value in -2, n, 4, 1.2, 5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/40 and ((-707)\/315*5)\/((-6)\/(-9)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjojjojoojjjo. What is prob of picking 2 j?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 27 = -z + 2*z, 2*z + 81 = 3*j. Let x = j - 22. What is the third derivative of 32*g**x - g**2 + 19*g**2 - 17*g**5 wrt g?\nAnswer: 900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100186 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: -0.3 * -76.209\nAnswer: 22.8627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.634 * 5736\nAnswer: -32316.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34791275 to the nearest integer?\nAnswer: 5898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40651\/3 - -13555. Solve 16\/3*r - 2\/3*r**2 - a = 0 for r.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/((-196)\/(-96)))\/(4\/14). Let r be 1\/((-21)\/f)*7\/(-2). What is the third derivative of -5*q**2 - 6*q**4 + 19*q**2 + r*q**4 wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*v + 37 = -3, -2*d = 4*v - 16. What is the remainder when 26 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*o + 25 = -4*v, -15 = 3*o. Suppose -v*r = -3*r - 4. Suppose 4*l - 347 = -a - 108, 2*l - 122 = r*a. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354 (base 8) to base 6\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-39 + 26)) + (-1 - -3 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 81. Do m and 9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 386, 1353, 3252, 6395, 11094?\nAnswer: 17661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 2. Let f(o) = -3*o**2 + 28*o - 2. Let m be f(9). Let j be r(m). Suppose 5*n = 4*n - j. What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 4*r)*(-2*r + 2*r - r)*(4 - 4 + 2)*(19*r - 5 + 5).\nAnswer: 152*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/8 - 4131*q**2\/8 - 516*q.\nAnswer: -3*q*(q + 1)*(q + 1376)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 482? (a) -3\/7 (b) 2\/15 (c) -42\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*x - 139 - 41 = 0, x = 5*c - 180. Suppose 4*l + 3*b - 21 = 10, -5*l = b - c. Calculate the highest common divisor of 91 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.99 + 0.01. Let x = 1 - d. Put -3, x, -0.4 in descending order.\nAnswer: -0.4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1300 and -51\/1300?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4913 - 4913.26. Which is the closest to -1? (a) 0.2 (b) x (c) 0 (d) -2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(-7*(-9)\/63)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 10:51 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -225, -5\/4, 0.2, 5, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-12))\/((-2)\/(-3)). Let i = 2 + -2. Let k = i - -3. Which is the nearest to 0.1? (a) 0.1 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10551723 + -0.1.\nAnswer: -10551723.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3*4\/(-345)*1)\/(114\/285)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -4. Suppose -2*x = x - 6. Find the third derivative of k**2 + 2*k**n + 3*k**2 + x*k**6 wrt k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/8 + (2\/2)\/(-1). Is 80435\/20*(l + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236494268, -472988535, -709482802, -945977069?\nAnswer: -1182471336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547561400 divided by 10100?\nAnswer: 54214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.2 + -3.2. Which is the closest to 0? (a) -2 (b) w (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122264 by 15283.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6954, -6639, -6324, -6009, -5694?\nAnswer: -5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/((-8)\/(-16)))\/((-280)\/(-13720)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-72)*((-18)\/14)\/((-8)\/56)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21367327, -42734657, -64101987?\n\"Answer: -21367330*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1972 in 3, 0.5, -5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45310 - -63507. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + s - 5 = 27, o - 24 = 3*s. Suppose 4*y + o = 10*y. Let x(f) = -15 + 2*f**3 + 17 + 2*f**2 - 3*f**3. What is x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 776 and 679.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095987757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v - 5. Suppose 2*q = g + v, 2*g - 3*g - q + 5 = 0. Solve -3*m - 4 - 8 = g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*r**3 + 30*r**4 - 2*r - 2*r**2 + r + 2 + 56*r**3 as v + f*r**4 + l*r + b*r**3 + p*r**2 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8957 or 9098?\nAnswer: 9098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyqqssqqsqmmq. Give prob of sequence ky.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 3*r**2\/2 + 4*r + 10. Give o(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 10:42 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*t**3 + 3520 + 1205*t**3 - 2419*t**3.\nAnswer: t**3 + 3520","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 168\/(-144) - (-1)\/6. Let u(b) = -15*b**3 + 2*b + 1. What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 49\/3. Let w(m) be the second derivative of 3*m**5\/20 - m**4\/3 - 3*m. Let z be w(4). What is the highest common factor of z and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 3*a + 2*a + (-3 + 4 + 0)*(-8*a + 4*a - 3*a) + a - 6*a + 3*a + (-3 - 1 + 3)*(a + 3 - 3) + 5*a - 4*a + 5*a to the form m*a + b and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6714*o**2. Let z(m) = 129943*m**2. What is y(z(h))?\nAnswer: -113367120333786*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -732 - 2*z - 3729 + z in the form j + l*z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 16 (b) 0.02 (c) -3\/785 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y)\/y**(-12)*y**13*y**(-12) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 538, 1125, 1944?\nAnswer: 2995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.892 - 57. Let s = 0.802 - y. Round s to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -2, 117 in decreasing order.\nAnswer: 117, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.3 + 0.7. Let s = 544.9 - 545. Which is the third smallest value? (a) -1.4 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 2*c**2 + 14. Calculate n(-4).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (10*1 - (-7 + 18))\/((-2)\/656998) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -33, -3\/7, -9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 7, -4, -1, -3, -10 in descending order.\nAnswer: 7, -1, -3, -4, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**3\/9 + 102250*q**2\/9 - 126052364*q\/9 + 41983370\/3 = 0.\nAnswer: -26741, 1, 2355\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 436 + -274. Let s be -3 + (-108418)\/(-18) + (-36)\/q. What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 110*r**2 - r - 73. What is j(-55)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 812 - 132. Suppose -5*s = -2*t - s + p, -5*t - 3*s = -1765. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/35 and (2403\/(-1440))\/((-525)\/(-100)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14799456*n**4 - 10*n - 759710.\nAnswer: -177593472*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1934d2b?\nAnswer: 1934d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*i + 10584 = 0, 2 - 8 = i. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*h - 5*h + 13, 16 = -4*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - t - 2*t)*((-3*t + 6*t - 4*t)*(0 + 0 - t) - 4*t**2 + 2*t**2 + 4*t**2) in the form a*t**3 + m + z*t**2 + x*t and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6821*l**2 + 114*l + 6088625 with respect to l.\nAnswer: -13642*l + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -8*t - 84. Solve -5*g - t = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -242*d + 236*d. Solve -5 = 5*n - d, -5*q - 10 = 5*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88.87 - -86.87. What is the nearest to -1 in r, 12, -0.5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 4*l**3\/3 + 16*l**2 + 64*l - 4. What is d in n(d) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15849067 divided by 13?\nAnswer: -1219159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + y**4 + 2*y**5 + (-16*y + 122*y - 51*y)*(-2*y**4 + 6*y**4 - 3*y**4).\nAnswer: 57*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10182 is divided by 5910?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*v + 2*h, 3*v - 28 - 53 = -3*h. Suppose 5*i - 4*g = 131, 2*g - 3*g - v = -i. Calculate the greatest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1494*l**2 - 14*l. Let p(i) be the second derivative of -83*i**4 + 5*i**3\/3 - 13*i. Let h(u) = -7*p(u) - 5*v(u). Let a(s) = -2*s. Give a(h(n)).\nAnswer: 996*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 31*j - 1. Let o be b(1). Suppose -5*r + o = -3*r. Suppose 0*f - 2*u = f - r, -2*u - 4 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(o - 3*o + o)*(12*o + 3*o + 2*o) + (o - 48*o - 44*o)*(2*o + o - 7*o) to the form x*o**2 + h*o + n and give x.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (512 - 568) + (-14 - -49)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + sqrt(27) - (sqrt(15)*-1)\/sqrt(5)).\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8*h + 2322 = 0. What is the units digit of (-8)\/28 - h\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -83) + 5459 + -5521.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -530, -1152, -1774, -2396, -3018, -3640?\n\"Answer: -622*s + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82.89 - 1.89. Let g = 4 + j. Let p = -85.1 + g. What is the nearest to 0.1 in p, 3\/7, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 1 - 6 - 4 + 9.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 37*m - 118. Let j be p(3). Let b(g) = -3*g - 19. Determine b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 4726?\nAnswer: 4721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - 72 = 0. Calculate the remainder when 33 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1052220186 and 23204?\nAnswer: 11602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20861\/28 + -742. Find the common denominator of c and 93\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -15*j + 182, 90*j - 88*j = 7*w + 17 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 42\nAnswer: 55\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3147*j + 230*j - 51895 + 163336 = 0 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g**3 - 2*g**2 + 16*g + 4. Let n(u) = -2*u**3 + u**2 - 2*u - 2. Determine -2*l(c) - 4*n(c).\nAnswer: -12*c**3 - 24*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 25 = 5*b + 2*p, 4*b = 5*p + 20. Suppose 5*f - 85 = -b*h, h - 4*f - 3 = -1. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03651605? (a) -1 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 60.4. Let h = -106.7 + 124. Let y = s - h. Round y to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 14. Let k be m(6). Solve 0*a - 29 = 5*p + 4*a, 0 = 2*p - 2*a + k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-11*p + 2*p - 2*p)*(-1 - 32 - 22) + 2 - 2 - p + (-p + 6*p - 4*p)*(2 + 3 - 4) + p + 2 - 2)*(3*p + p + p) to f*p + z*p**2 + o and give z.\nAnswer: 3030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*v + 5*v + 4631740, 9*v - 72 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(132)*5)\/(sqrt(12) + (sqrt(60)\/sqrt(5) - sqrt(12))*5))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1838656 divided by -32\nAnswer: 57458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2832 and -37\/8464.\nAnswer: 1498128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yraxuuxaxtatt. What is prob of sequence au?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcfcccfccffffz. What is prob of sequence cffz?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from wdwkwwdkdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 422*x - 426*x - 6, -3*x = 4*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 420221*b**2. Let l(v) = -42*v. Give l(p(c)).\nAnswer: -17649282*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*a*c*j*q + 62*a*c*q**3 - 3*a*c*q + 35*a*j*q**3 - 2*a*q**2 - 224*c*j*q + 74*c*q - 2 wrt j.\nAnswer: 60*a*c*q + 35*a*q**3 - 224*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r - 49*r - 5 + 5*r + 8*r + 7*r. Let h(w) = 4*w + 1. What is -22*h(y) - 4*l(y)?\nAnswer: -12*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 19 = -4*o, 890*o - 887*o - 2 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850251 and 39429?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151782791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 715 and 84122610?\nAnswer: 84122610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*s + 3*i, -3*s = -5*i. Suppose s = 2*r + 4*d, 6*d - 15 = -5*r + d. Let y(w) = 2*w**2 - 6*w + 1. Is y(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 + -3\nAnswer: -3.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 + 71.43. Let w = -617 + 616.53. Let l = j - w. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**(-2\/5))))\/(h\/h**(-13)) assuming h is positive.\nAnswer: h**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 divided by 57?\nAnswer: 218\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (-250)\/75*1602\/(-5)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 25576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6722774 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*g**2 - 14*g - 81*g - 20*g - 28*g wrt g.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufqphzqqfqzhqu. What is prob of picking 1 p, 1 h, 1 z, and 1 u?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(440) - sqrt(440)) + sqrt(440))*-1)\/sqrt(10))\/(sqrt(4) + sqrt(704)\/sqrt(11) + sqrt(4) + -5*-1*sqrt(4)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*h - 3*w, -h + 14 = -5*h - 2*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688159924.\nAnswer: 2, 172039981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 6140 - 3096 - 3044 + 0*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16b1b49 - 2?\nAnswer: -16b1b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29100 by 6.\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 153 = 228. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.48 and -1.\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-10))\/u**(-7\/5))\/(u**(2\/11))**(5\/9) assuming u is positive.\nAnswer: u**(6088\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s + 1059. Let i be z(-29). Sort 20, 3, -3, i in increasing order.\nAnswer: -3, 3, 20, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:43 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*d + 625*d = -40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1728) - (sqrt(1728)*-2)**2) + -5 + -1.\nAnswer: -6913 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846 divided by -141.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b69 + 19d?\nAnswer: -9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2889 + 5322 = 332*v - 12507 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302961304.\nAnswer: 2, 1439, 26317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16632 and 223344?\nAnswer: 1563408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468\/777 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 + f + 1. Let k(s) = 13*s**3 - 6*s**2 - 3*s - 27. Determine -k(g) - 3*v(g).\nAnswer: -g**3 + 6*g**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 2*g**2 + g. Let o be (-1)\/(-2)*(-3 + 1). Let z be k(o). Solve 3*v - z + 15 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 6 = -13*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 12 + -9 - 9 - -2 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.07, 437, 0.1 in descending order.\nAnswer: 437, 1\/6, 0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:57 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-16230)\/900)\/(4\/(-10))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}